diff --git "a/data/dm_maths/full_data_1/10797_11255.jsonl" "b/data/dm_maths/full_data_1/10797_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10797_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange (q - 6*q + 2*q)*(-2 + 2 - q)*(-2*q + 0*q + 6*q) to the form g*q**2 + v*q + r + j*q**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3115331*s + 4060533 wrt s?\nAnswer: -3115331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*j**2 + 2273*j**6 + 784250*j - 784240*j - 336*j**6 wrt j.\nAnswer: 232440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(-4*sqrt(36)) + sqrt(20)\/(sqrt(576)*-3))**2 + -3.\nAnswer: -238\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 764\/(-70) + 0 - (-8)\/(-28). Let p = -11 - n. Find d such that 0 - 1\/5*d**2 - p*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**5\/120 - t**4\/8 - 2*t**3\/3 - 11*t**2 + 7. Let m(p) be the third derivative of i(p). Give m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -200 - 3. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 0.5, 2, -2\/15.\nAnswer: -3\/7, -2\/15, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -13*c + 375. Let m be l(8). Which is bigger: m or 270?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.2 (b) -5 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/168 and 16\/672*191 + 6 + -14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/11109960 and 137\/198.\nAnswer: 122209560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 2973520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -404 and -402 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 c, and 1 v when three letters picked without replacement from {i: 10, v: 2, c: 6}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 11 - 23 = 0. Let v(g) be the first derivative of 0*g - 4 - 2\/3*g**3 - 2\/5*g**5 + 0*g**4 + 0*g**a. What is the third derivative of v(w) wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 4*d**2 - 4*d - 17. Let t be a(-4). Put 2, 4, -8, t in increasing order.\nAnswer: -8, t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 1:19 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-6))\/(2\/(-4)). Let f(o) be the third derivative of 4*o**5\/15 - o**4\/24 + 2*o**2. What is the units digit of f(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27414319, -27414313, -27414307, -27414301, -27414295?\n\"Answer: 6*a - 27414325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 16, -11 in ascending order.\nAnswer: -11, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187083 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -61*k - 857. What is i(-12)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 3, -3 in ascending order.\nAnswer: -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s - 6. Let k be q(2). Suppose 2*t - 2*o - 26 = k*o, 4*t - 5*o = 40. Let n be 10 + 9\/(-3) + t. Is 10 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 987810*a**2 - 199955*a wrt a.\nAnswer: 1975620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(-1*sqrt(5)*-2 + sqrt(5) - sqrt(5)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/611223 + 814952\/1833669. What is t in -k*t**2 - 32\/9*t + 44\/3 = 0?\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, x: 1, c: 2, z: 7, s: 3, p: 1}. What is prob of sequence cr?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -13*b + 3. Let t(o) = -170*o + 40. Let g(l) = -3*t(l) + 40*v(l). Let h be g(-2). Let r = h - 11. What is the lowest common multiple of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i\/i**(-40))\/i)*i)\/i*i*i\/(i**(-37)*i) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 73*v**2 + 153*v + 229. Give w(-75).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -1127542?\nAnswer: -16\/563771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 577 + -1671. Let n = s - -1093.99999353. Round n to seven dps.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from gszzgzmzmszgzzgz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/24)\/(3\/(-196)). What is the highest common factor of 70 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -14*t**2 + 606*t - 571. Give q(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9*n**3 - 47*n**2 + 5*n - 9. Let y(s) = -4*s**3 + 23*s**2 - 2*s + 4. Suppose -38*h + 20*h + 24 = -30*h. Give h*k(j) - 5*y(j).\nAnswer: 2*j**3 - 21*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -585020, -2340090, -5265208, -9360374, -14625588, -21060850, -28666160?\n\"Answer: -585024*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 75*n**2 - 78*n.\nAnswer: 3*n*(n - 26)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213990 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**3 - 1529*l + 1 + 4*l**3 + 800*l - 1196*l - 2*l**3 to h*l + d + s*l**3 + a*l**2 and give h.\nAnswer: -1925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - 4*b**3 + 3*b**3 + (11 + 9 - 25)*(b**3 - 3*b**3 + 0*b**3))*(3*b - 2*b + b).\nAnswer: 22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4))**(5\/6)*o**3\/((o**(-11)*o*o)\/o) assuming o is positive.\nAnswer: o**(307\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -639, -6, 124, -3 in increasing order.\nAnswer: -639, -6, -5, -3, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 4 = -2*z - 5*f, 2*z + 4*f = 18. Suppose -2*b + z = -b, 4*b - 204 = -3*c. Suppose 5*r = r + c. What is the highest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 95467.3.\nAnswer: 190934.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 2*k + 11. Suppose -4*f + 3*f + 5 = 0. Let w be (-12)\/(-20) - 3\/f. What is the tens digit of o(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5187\/(-19))\/(6\/(-4)). Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387881297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502301 is divided by 920.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-1) - 3\/(12\/(-4)). Let q(r) = -r**2 + 1. Let x(p) = -7*p**2 + 5. Let u(z) = s*q(z) + x(z). Let d(m) = -25*m**2. Give d(u(o)).\nAnswer: -100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 486878 and 166747?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -26, -24, 10, 94, 246?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 627219 and 2331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:13 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**2 + 26 + 1\/30*w**5 + 0*w**4 + 0*w**3 + 0*w. Let j(f) = -42*f + 1. Give j(q(h)).\nAnswer: -84*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 845 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 11 = 4*r, -23*l + 27*l = -3*r - 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**5\/5 + 18*p**4 - 18*p**3 - 1684*p**2 - 29031*p\/5 - 4158 = 0?\nAnswer: -90, -7, -3, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/13 + 58\/39. Let p be 698\/40 + (-1)\/4. Let s = -17 + p. Sort j, -2, s.\nAnswer: -2, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, 4 in increasing order.\nAnswer: -5, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -98*s**2\/15 - 2408*s\/15 - 14792\/15 = 0.\nAnswer: -86\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6905140 is divided by 266.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 167 - 166.505. Let h = p - -0.035. Round h to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 1 + 1)*(0 + 1 + 3) - 3*c**2 - 4 + 4 - 99*c**2 - 191*c**2 + 120*c**2.\nAnswer: -181*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2*u + 4 = r - 31, -8*u = -4*r - 15*u - 45*u - 260 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/107773 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 0*m - m = 1, -4*m - 4 = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggsgugaqagqgggak. Give prob of picking 1 k, 1 q, and 1 s.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.721768401 from 10.\nAnswer: 9.278231599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - -54. Let x = -89 + s. Solve 9 = x*z - v, v - 5*v - 12 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 12 = -h - 0*d, h - 4 = d. What is the second biggest value in 1\/2, h, -3, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*r - 30*r - 19*r - 4*r**2 - 21*r.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1728718 plus -7?\nAnswer: -1728725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**3\/6 + 6*g. Let z(h) be the first derivative of -2*h**2 + 4. Calculate z(n(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179432 - 179427 - 179432 + 717718 - 179427 + 5*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 7*c = -2*c - 1948, -c = 2*k - 974. Suppose z = 3*m - 9, 3*m - z - 18 = 3*z. Is (m + 1 + -2)*k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 22*n**2 - 75*n + 96. What is y(-16)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 - 159 = -2*c - 67. Solve -3*u + 92*h - c*h = 19, -4*u - h = 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*w - 1)*(4*w - 2*w - 4*w - 1 + 1 - w + (2 - 2 - 2*w)*(0 - 3 + 1)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + m + 162, 4*m = k + k - 118. Let u = k - -20. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/584 - -2343\/4088. What is the closest to 0 in b, -0.06, -0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20165?\nAnswer: 5, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/19 - 112*u**3\/19 + 6*u**2.\nAnswer: -2*u**2*(u - 1)*(u + 57)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137022*r + 136909*r - 12882 = 0 for r.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 236592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s - 10140 = 31*s. Let l be ((-4)\/s)\/(20\/(-24) - -1). Is l less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533*z - 528*z - 47985 = 0. Let y = -4244 + z. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*w**2 - 4\/3*w**4 + 0 + 0*w + 4\/3*w**3.\nAnswer: -4*w**2*(w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 40 = 5*j, -4*a + j = -a - 26. Suppose -a*t - 4*t - 65 = 0. Is -3 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0.5, -0.0513, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/c*c)\/c*c**(3\/13)*(c\/(c*c**4*c*c))\/(c\/(c\/(c\/c**13)*c)) assuming c is positive.\nAnswer: c**(94\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, -16, -63, -142, -253?\n\"Answer: -16*m**2 + 33*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8953515, -8953517, -8953519, -8953521, -8953523?\nAnswer: -8953525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*b - 76720 = -84202 for b.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/21 + ((-16)\/28)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084638 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-5)\/z*z))**(21\/4)\/((z*z**(-2\/17))\/(z\/((z*z**18*z)\/z))) assuming z is positive.\nAnswer: z**(501\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvu when three letters picked without replacement from {p: 1, j: 1, e: 1, v: 2, u: 1, n: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1338 and 4446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77\/76 + -5\/19. Let v = -44 - -49.2. Let t = v + -4.2. What is the closest to -0.1 in c, 4, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-12) - 6\/(-2))*(-2)\/14\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 186\/(-6) - (-714 + 746)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + 2219\/3*p**2 + 2216*p + 185\/3*p**3.\nAnswer: (p + 6)**2*(185*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58*(25 + (-3465)\/140)\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/24*100\/2925*-3?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 12*c + 19. Let d(i) = -9*i - 18. Give 3*d(p) + 2*k(p).\nAnswer: -3*p - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 368\/(-1104)*(-1)\/((-3)\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - q + 3*q = -25, -40 = 4*f - 4*q. Let u = -16 - f. Is u greater than -2\/165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*d + 24. Let b be (d - -2) + 2 + -4. Solve 6 = -0*r + b*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*k - 2943 = 446*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h**2 + 20*h**2 + h - 2*h**3 - 7*h**2 - 2*h**4 to f*h**2 + r + v*h**3 + u*h**4 + a*h and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 13*g**4\/12 + 9*g**2 + 8*g. What is the first derivative of n(f) wrt f?\nAnswer: 26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 - -100. Suppose -2*n + 58 = -0*n. Calculate the remainder when n is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -1113312?\nAnswer: 1120000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2722 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805*t - 14777 = -684*t + 348 for t.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-3)\/(-5))\/(1\/(-10)). Let w(p) = p**3 + 3*p**2 + 3*p - 9. Let h be w(v). Let z = 154 + h. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(0 + sqrt(605))**2 - ((sqrt(605) - (sqrt(605) + -3)) + sqrt(605))**2*5).\nAnswer: -6703 - 330*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 7*g**2 + 5*g - 3. Calculate p(-6).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327232 by -5.\nAnswer: 327232\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-344 - -339) + 3 + -1 + 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-28))**(3\/13) assuming q is positive.\nAnswer: q**(-84\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + 28*z**2 + 18*z - 16. Give u(15).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70570?\nAnswer: 2, 5, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Let c be 1\/v - 19\/(-4). Suppose -3*s + 3*h - 11 = -5, c*h - 10 = -2*s. Solve -j + 6*j + 25 = s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21 and -2258314.\nAnswer: 474245.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/12 and 23\/636.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhbb. Give prob of sequence hb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c7 (base 15) to base 8.\nAnswer: -634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-11)*r)\/((r\/(r*r**(1\/47)))\/r))**(-25\/6) assuming r is positive.\nAnswer: r**(3125\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -19*s**2 - 3*s + 10. Let r be x(3). Let z = -103 - r. List the prime factors of z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*3 - (-3 + 6). Is m less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - u. Let k(f) = 3*f**2 - 9*f + 3. Let t(q) = k(q) - 12*x(q). What is the remainder when 38 is divided by t(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 752 and 6368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 41*o - 11 = -0*i + 36*o, 2 = -4*i - 2*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*o - 52. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n\/n**(-2\/5))\/n)**(-4\/5))**(2\/51)\/((n\/((n*n**(-1))\/n)*n\/((n*n\/n**6)\/n*n))\/(n\/n**(-2\/7))**(-2\/21)) assuming n is positive.\nAnswer: n**(-149893\/20825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 8:42 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169228755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 n when four letters picked without replacement from {n: 4, r: 1, z: 3, c: 2, f: 4, o: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/4)\/((-313)\/626).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -15.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 6. Let l(u) be the third derivative of -u**4\/24 - u**3\/2 + 10006*u**2. Calculate l(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h - z - 26 = 0, h - 1 = -4*z. What is the remainder when (-4356)\/(-11) + h + 0 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.804505 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1273*b. Let m(n) = -566*n + 1. Calculate m(j(d)).\nAnswer: 720518*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {v: 2, c: 8, z: 1, h: 1, u: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 923 = 1. Let t = w - -475. Solve 8*l = -t + 54 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91968 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 next term in -133754, -133530, -133136, -132554, -131766?\nAnswer: -130754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18167030 is divided by 465821?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -84?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.54 and 10.86732.\nAnswer: 10.32732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308118930?\nAnswer: 2, 3, 5, 7, 61, 67, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 3*f - d, -d + 0*d = 42*f + 551 - 175 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Let r be n(4). What is the derivative of r*m**4 - 7 + 2 + 11 wrt m?\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 45954?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 1 - (-52 - -79) - (1 - 23).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*o + 540 = 0, -5*v + 4*o = -o - 745. What is the highest common factor of v and 7661?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -6161?\nAnswer: -6162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 14. Suppose -u - 3*u = -w. Suppose v + 2*x - 11 = -2, -u*v + 35 = 5*x. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11643*c - 14 - 11653*c - 10 + 24 + 23325*c.\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 15544245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*i + 15. Suppose 4 = i*r - 6. Suppose h - 15 = -r*h. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(228))\/(sqrt(15)\/(sqrt(720) - (sqrt(720) - sqrt(720)*-3) - sqrt(5)))*-2.\nAnswer: -296*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g - 3*g**2 + 16*g - 18*g**2 + 5*g**2.\nAnswer: -16*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*u - 465*u + 20 = -223*u - 4*r, 0 = 3*u - 2*r + 46 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -0.5, 83, 5.\nAnswer: -0.5, 2\/13, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3*(-9)\/(-6). Let m(a) = 6*a - 3. Let j be m(h). Suppose -j*l + 65 = -73. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 6*n**2 - 4*n - 1. Let t be x(6). Let d = t - -23. Is 738 + (6\/3)\/d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1611094.\nAnswer: 2, 53, 15199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c. Let o(r) = -r + 2. Let d be o(0). Suppose -2*g + d*m - 4 = -2, -4*g = -3*m. Let k(x) = -1 + g + x - 2. Determine k(y(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001266328 rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yayayyyyaa. Give prob of sequence aaa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15013 + 15015. Suppose -5*u - 8 = -18. Solve 1\/4*z**4 + z + u*z**w + 0 + 5\/4*z**3 = 0 for z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 580 + -579.9. What is the closest to -77 in 4\/7, -4, r, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-34)\/68)\/((-10)\/4 + 2). Does 13 divide z*(376 + -1)*(1 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 7 - ((-21 - 26) + 25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 55091 = -d + 55096, 7*d - 79 = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 - 2*b**3 - 3*b**3 + (b - 2*b - b)*(3*b**2 + 2*b**2 - 4*b**2) + (-6*b - 3 + 3)*(b**2 - 2 + 2) as r*b + t*b**2 + w + n*b**3 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -244, -5, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.62493 rounded to zero decimal places?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -541\/52 - -41\/4. Let g = -40\/91 - v. Let w = 18 - 16. Which is the second biggest value? (a) 3 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4667 - -4875. What is the highest common factor of 247 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21422 - -21903. What are the prime factors of j?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 + -59. Suppose d = 5*w + 10. Which is the nearest to 4? (a) w (b) 3\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a. Let q be -2*27\/(-18) - 2\/2. Let g(l) = 2*l + 314*l**2 - 334*l**2 - q*l. Give g(m(s)).\nAnswer: -720*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -3519 + 3523 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1674 = 22*y - 13*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25596 and 316?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 117*z - 448. Let v(f) be the third derivative of 0 + 0*f + 0*f**z - 1\/6*f**3 + 26*f**2 - 7\/15*f**5. Differentiate v(k) wrt k.\nAnswer: -56*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2766107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j. Suppose -2*p = -2*u - u - 12, 0 = -4*u - p - 5. Let o be (u\/(-3) - 1)\/((-2)\/18). Let x(g) = 3*g. Give o*x(m) - 4*t(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 22b?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2\/5 - 66*m\/5 - 192 = 0.\nAnswer: -10, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q. Let j be ((-36)\/(-15))\/((-4)\/(-50)). Let d(r) = 30 - j - 2*r**2. Give t(d(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 40, 50, 60, 70?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -208*n + 62. Let t be b(-6). Round t to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**3 + 4 - 14 - 3*j**3 - 7*j**3.\nAnswer: j**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 100\/3*r**3 + 2\/3*r**4 - 912*r + 328*r**2 = 0. Calculate r.\nAnswer: 0, 6, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*a)*(-3*a + 5*a + 0*a) + (-3*a + 4*a - 2*a)*(0 + 0 - a) - 5*a**2 - 8*a + 2*a + 4*a.\nAnswer: -8*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 + 3002*m**2\/5 - 23536*m + 233760.\nAnswer: -2*(m - 1461)*(m - 20)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h + 43187 = 187264. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7886*a + 4132 - 2075 - 2057 in the form y*a + h and give y.\nAnswer: -7886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393467 is divided by 392993?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143568 and 1524816?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/((-6)\/270*3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.03, 58, 22?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 6:52 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 32*z**3 + 1 - 167*z - 2*z**2 + 8*z**3 + 171*z to the form f + m*z + p*z**3 + s*z**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -1\/224, 0.1, 0.17, 1\/3 in decreasing order.\nAnswer: 3\/7, 1\/3, 0.17, 0.1, -1\/224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3)*n*n*n**4*n*n*n*n*n*n*n**(2\/11)*n*n**(1\/7)\/n)\/((n\/(n*n*(n*n*n*n*n**(2\/11)\/n)\/n))\/n**(1\/5))**(-39) assuming n is positive.\nAnswer: n**(-46803\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2. Suppose 1395 = q + 2*g, 4*q = -3*g + 2*g + 5594. Let v(m) = -q + 1399 - 310*m**2. What is v(r(w))?\nAnswer: -310*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 1. Let y(k) = -k - 1. Suppose v = 4*n + 11, n - 4*v - 1 - 15 = 0. Give n*y(z) - u(z).\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -3036?\nAnswer: -3041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061085633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6054.\nAnswer: 2, 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 9 - (-24 - -32)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1774679\nAnswer: 2\/1774679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 11*o + 2. Is 186*12\/(-16)*(o - 4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1006.98 - 1007. What is the closest to 9 in b, -10, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*4\/10*3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 14. Suppose -8*l - 8*l = -96. Suppose f = -2*w + 10, -3*w + l = -4*f - 9. What is j(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 10 = -2. Let t(b) = 14 - 14 + b**l. Let d(s) be the second derivative of -s**4\/12 - 33*s. Calculate t(d(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92.39 + -97.39. What is the fourth smallest value in 0.016, v, -0.2, -4?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 15, -5*a + 3 = 4*p - 7. Sort 0, a, 4 in decreasing order.\nAnswer: 4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 446*n + 445*n - 1337*n + 447*n. Let j(d) = -443*d**2 + 3. Determine g(j(f)).\nAnswer: -443*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111111010000100 (base 2) to base 10.\nAnswer: 97924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**5\/30 + 38*l**2. Let z(b) = 17*b - 2. Determine u(z(g)).\nAnswer: -578*g**2 + 136*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 917\/1086 - 2\/181. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-5) - (-16)\/80. Suppose -9*y + 7*y + 358 = d. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -118, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.055*-17888904\nAnswer: 983889.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -92, -180, -268, -356, -444, -532?\n\"Answer: -88*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449525.\nAnswer: 5, 17981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 46*s + 525. Let z be d(-25). Let q = -5 + 9. What is the nearest to z in 2\/31, -3, q?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1472 - 1472 - 21*z**3.\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 34*r - 30. Let n be g(-13). Let s = -171 - n. Is 33 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -531.7 - 93.3. Let h = 629 + y. Which is the biggest value? (a) -0.4 (b) -0.2 (c) h (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfeffzexfff. Give prob of sequence ez.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f**4 - 1012*f**3 + 5876*f**2 + 4516*f + 660 = 0. Calculate f.\nAnswer: -1\/2, -1\/5, 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -8 + (-12)\/12*-212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, o: 19}. Give prob of sequence ou.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3*k*p**2 - 26*g**3 + 39*g**2*p + 3*g**2 + 5*g*k - 8*p**4 with respect to p.\nAnswer: 2*g**3*k*p + 39*g**2 - 32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + 30*v + 164. Does 45 divide u(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/39 - (66 - 67)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q + 3*o - 9, 4*q + 20 = 4*o. Let g(n) be the second derivative of n**4\/12 + 2*n**3\/3 - 5*n**2\/2 - n. Calculate g(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.005 and -43102.\nAnswer: -215.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -553*c**3 - 939*c**3 + 146*c**3.\nAnswer: -1346*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.94 - 2.44. What is the closest to 7 in 3\/11, -2\/13, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419781866 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-1 + 0) - (-191 + 143)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddm when four letters picked without replacement from mddmmmmhhmmhdmhh.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42990 - 42990.000037898. What is t rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8654006623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4073128 - 11?\nAnswer: -4073139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2613.6 - 2613.30922. Let q = 0.29 - w. Round q to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 1)*(-1 + 0 - 1)*(-25 + 47*y + 25)*(-2*y + 4*y - 3*y) + (0 - 1 + 2)*(4*y**2 + 2*y**2 - 3*y**2) to the form w + h*y + g*y**2 and give g.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/195)\/(7474\/(-37370))?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-24)*-3 + 458\/8. Let f = k + 119. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 10*v**2 + 10*v + 16. Is b(11) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 9:51 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 2)\/((-6)\/(-42)). Suppose -3*h = l - 11 + 1, 4*h = -5*l + r. Is 1 + h*32\/4 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 9*t**2 + 25*t - 4. Let k be (10\/(-6) + -2)*18\/(-6). Calculate the remainder when 144 is divided by u(k).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/32*((-42)\/18 - -1). Let i be 2\/8 + 142\/8. Let x = 23 - i. Which is the nearest to -1? (a) o (b) 10 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + ((2 + sqrt(2736) + (sqrt(2736) - (-3 + sqrt(2736))))**2 - (-1 + sqrt(684))**2*-3)*-4.\nAnswer: -19261 - 336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8346 is divided by 2068?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137.54 + 135. Let n = -0.02 + 0.06. Let x = n + l. Round x to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from aqaaqqaoqaaaov?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 570*u + 516*u + 54*u + 2*u**2 - 2*u**2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83853395 is divided by 1746.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*d = -103*d - 84 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2. Let g(j) be the third derivative of 0*j + 5\/3*j**3 + 0*j**4 + 1\/20*j**5 - 29*j**2 + 0. Determine g(u(q)).\nAnswer: 3*q**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 0*y + 7\/6*y**6 - 13\/3*y**3 + 27\/4*y**4 - 23\/5*y**5 + 4 + y**2. Find n, given that z(n) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -15*p**3 - 320*p**2 - 5110*p - 90. Let g(q) = q**3 - q + 9. Let d(b) = -c(b) - 10*g(b). Factor d(i).\nAnswer: 5*i*(i + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, u: 6, f: 5, j: 3}. What is prob of picking 1 u and 3 p?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-11)*(-4015)\/(-730)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -210, -5, 3 in ascending order.\nAnswer: -210, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 295741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2\/(-5) - (-572)\/(-130)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148057 or -314?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 737\/2 - 2087\/6. What is the second biggest value in 0, 3, j, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 + 42*s - 7. Suppose -3*r + 21 = 0, 13*b - 12*b + r + 1 = 0. What is d(b)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, -119\/3, 8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1001011010011 (base 2) to base 8\nAnswer: 11323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 - 149*j\/5 - 148\/5.\nAnswer: -(j + 1)*(j + 148)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-249)\/4)\/((-30)\/80) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 - -102. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 24. Let c = 3 - 3. What is the second biggest value in 0.1, v, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4)\/(153\/(-24) - -6). Suppose -109 - 97 = 4*b - 3*h, -2*b - 2*h = 96. Let w be 10\/b - (-172)\/10. Solve -t*n = 5*z, 2*z + z = n + w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53200311197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 402.5 times 83?\nAnswer: 33407.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40657*c**3 + 34998*c wrt c?\nAnswer: -243942*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9615719 to the nearest 10000.\nAnswer: 9620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 588330513*o - 322932344.\nAnswer: 588330513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 + 314*x + 80907\/2.\nAnswer: (x + 181)*(x + 447)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -62459518 smaller than -62459505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - 46 + n**3 - 2*n**3 - 37 + 74 in the form d + p*n**2 + u*n**3 + c*n and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445609776 to the nearest integer?\nAnswer: 21109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/822 and -52\/1227.\nAnswer: 336198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - x = -41 + 26, 4*u + 115 - 43 = -12*x for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214325954599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v + 2 = 57 - 17 - 162 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1205*x - 683*x + 1121*x + 115*x.\nAnswer: 1758*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 524783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*r + 5. Let p = 11 + r. Let d(o) = o**3 - 6*o**2 + o + 2. Calculate the smallest common multiple of p and d(6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l - 20, 0 = 5*u + 4*l + 4. Is u >= -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 590625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 8 = 3*q, 5*c - 10 = -4*q - 30 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.395 - -0.096. Let i = f + -0.4910451. Round i to six dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*c - 0*c - q, 0 = -2*q - 4. Let u be 6\/(-10) - 13\/c. Suppose u*t + t - 117 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4081, -7978, -11875?\n\"Answer: -3897*b - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*y**5 + 4*y**4 - 435*y**3 + y**2 - 5*y + 763 wrt y.\nAnswer: -180*y**2 + 96*y - 2610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 20*j + 64. Find the third derivative of -2 + 1718*a**3 + a**j - 2*a**4 - 1718*a**3 + 0*a**4 - 19*a**5 + 3*a**2 wrt a.\nAnswer: -1140*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/627 and 92\/399?\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 44667*j**3 + 16*j**2. Let u(x) = 128611180*x**3 + 46070*x**2. Calculate -23035*g(a) + 8*u(a).\nAnswer: -14905*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318805840 by 4.\nAnswer: 79701460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {n: 2, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 + -199 - (-6 - (-1 - 3))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, 0.06, -1 in descending order.\nAnswer: 5, 0.06, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*q - 16 = -q, r - 3 = q. Suppose r*b - 102 = 2*b. Suppose 0 = -5*s + b + 21. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 770018, 2, 1 in increasing order.\nAnswer: 1, 2, 770018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46831.\nAnswer: 46831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 3*x - x**3 + (0*x + 0*x**2 - x**2 - x)*(122*x + 108*x - 367*x) to the form y*x + z*x**3 + i*x**2 + a and give i.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 103820, 103993, 104282, 104687, 105208, 105845?\n\"Answer: 58*l**2 - l + 103763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60144 is divided by 1606.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o + 4*b = -16, -4*b - 28 = -2*o. Let m(j) = -j**3 + 5*j**2 - j + 7. Let t = 12 - 7. Let c be m(t). Calculate the highest common factor of c and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7 + 4*b + b + 0*b - 3*b. List the prime factors of h(11).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 14*i = 19*i - 499, 4962*o - i = 4957*o - 400 for o.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/25)*((b*b**(4\/11))\/b)\/b*(b*b**(-3\/8))**(-26) assuming b is positive.\nAnswer: b**(-18487\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.32 + -4.68. Let x = 58 - 63. Which is the third biggest value? (a) v (b) 1 (c) 0.2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c - 232. What is the lowest common multiple of d(28) and 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - m + 1 = 13, -24 = -4*j + 4*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1558, 2801, 4034, 5251, 6446, 7613, 8746?\nAnswer: 9839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106692955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.81 + 0.19. Which is the third biggest value? (a) z (b) -6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*t - 30 = 0, 23*t + 30 = 3*n + 19*t. Solve 4*b + 2*f = n, b + 3*f = 1 + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1201, 4848, 10959, 19558, 30669, 44316?\n\"Answer: 4*h**3 + 1208*h**2 - 5*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00029174 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 925 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -111?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 103733 and 10150.\nAnswer: 5186650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.08, -3, -0.4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 - 539*w**2 - 337*w + 3815. Calculate f(-179).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 4 + (-3 - 1*-4). What is the second derivative of 129*y**5 - 40*y**r - 70*y**5 + 18*y wrt y?\nAnswer: 380*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/8)\/((-2)\/20). Let u = 27 - 25. Let g(k) = -h*k + 2 + 1 + k**2 - u*k + 2*k. Determine g(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2\/5, 27, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 o when three letters picked without replacement from {o: 3, u: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -5\/2, -111, 3 in increasing order.\nAnswer: -111, -5\/2, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*k = 92, 45 = -w + 95*k - 92*k. Let c = 217 - 133. Let f be (-10)\/(-7) - w\/c. Solve f*l - 7*l = 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r**4 + 2*r**4 - r**4 + (r**4 + 2*r**4 + r**4)*(-1 - 3 - 11).\nAnswer: -65*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-10) + (-1)\/10. Let a = -8168.7 - -8169. Sort n, 3, a, 9\/2 in decreasing order.\nAnswer: 9\/2, 3, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353437 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1787*o + 1804 = -1828*o for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4031258 to the nearest integer?\nAnswer: 2008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 3 (c) 37 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = 0. Suppose s + 4*s - 605 = t. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -204256, -204260, -204274, -204304, -204356?\n\"Answer: -x**3 + x**2 - 204256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/35)\/((-49572)\/3094 + 16)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2 + (-45)\/6. Put -4, 3, 1, v in increasing order.\nAnswer: v, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 - 3)*4\/(-10). Let y = z + 7. What is the smallest value in y, -0.2, 1.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.7959 kilograms in tonnes?\nAnswer: 0.0167959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*x + 2, 16 = 2*j + j + 5*x. Let z be -1*(3 - 3)*1. Let r(m) = 3*m**2 + m. Let p be r(-2). Solve z = -j*w - 0 - p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 6:15 PM?\nAnswer: 109","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 2*m - 2. Let g be 6\/(-4) - (-7)\/2. What is the lowest common multiple of 2 and j(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 493\/145 - ((-21)\/(-15) - 1). Let d = 4 + -2. Suppose m*f - 3 = d*f. Solve -3*u = -j - f*j + 2, -j - u - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3111137103.\nAnswer: 3, 1667, 622103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 822, 3283, 7384, 13125, 20506, 29527?\nAnswer: 40188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28349616487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -203*b**3 + 3865*b - 827617 wrt b.\nAnswer: -609*b**2 + 3865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-20) + (-1026)\/(-15) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/64*4\/30*(-50)\/(-30)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4167 is divided by 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*o**2 - 2*h**2*o + h*o**2 wrt h?\nAnswer: -4*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 11)*(-3*x + 3*x - 2*x - 2 + x + 2 + (2 + 0 + 0)*(-x - x + 4*x) - 2*x + 2*x + x - 2*x - x + x).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49583480567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 7. Let o be x(9). What is the first derivative of -2*p**o - 2 + p**2 + 4*p**2 wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15312570 to the nearest one thousand.\nAnswer: 15313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -48, -4, 2 in decreasing order.\nAnswer: 5, 2, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1141 - 3?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17, -31, -41, -47, -49, -47?\n\"Answer: 2*s**2 - 20*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2*g = 82, -10247*f + 10252*f - 105 = -3*g for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-6) - 1053595\/(-30). Let n = f - 10725. Suppose -n = 2*s - 5*b, -3*b + 1134 + 23263 = -2*s. What is s rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 207*v + 410.\nAnswer: (v - 205)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 11\/(-3))*(-390 - -393)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 2.3. Let a = m - -2. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 6*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*a - 41*x = 59*a - 292, -27 - 33 = 5*a - 5*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/389675 and 47\/53955.\nAnswer: 3507075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 0 + 8*f + 4\/3*f**2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -2*p - 16. Let f be p\/18 - 4\/18. Solve -2*y + 27 = -5*n, f = 3*n - 4*n - 5*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2938 - -8841. What are the prime factors of q?\nAnswer: 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*u + 22, -14 = u + 4*a + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*k + 3*h + 156, -k = -4*h - 38. Is k a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 28105734774.\nAnswer: -28105734773.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 51820?\nAnswer: -3109.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i - 6 - 323*i**2 - 13*i - 10*i.\nAnswer: -323*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 10*p**2 - 14*p + 11. Let g be 4\/(28\/(-63)) - 3\/(-3). Calculate f(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*m - 15 = 0, 3*g + 3*m - 3 - 9 = 0. Which is the smallest value? (a) -3 (b) -19 (c) g (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 5:34 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t = 26*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - 4*(sqrt(1377) + 4))**2 - (sqrt(1377) + -4 + 4).\nAnswer: 855*sqrt(17) + 12649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m - 3*m**2 - 10*m + 9*m to the form l + g*m + p*m**2 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 9*l**2 - 20*l - 5. Calculate the smallest common multiple of 11 and t(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {l: 17, a: 2}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 277381 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/847 and 4\/231.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/4)*s)\/s*s*(((s\/(s*s**(-36)*s))\/s)\/s*s)\/s assuming s is positive.\nAnswer: s**(137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 7*l**2 - l + 7. Let j be h(7). Suppose -z - 2*t + 1 = -j*z, t = -z + 3. Solve z*x - 5 = -0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 - 2729 = -11*u. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-41979\nAnswer: 251874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.015 - -68.985. Let n = c - 71. What is the nearest to 1\/5 in 0.3, n, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c (base 15) in base 5?\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 16) in base 10?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0 - 14\/3*l**3 - 48*l**2 + 0*l + 0*l**5 - 9\/20*l**6 + 0*l**4. Differentiate f(m) with respect to m.\nAnswer: -162*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3)*u*u**(1\/11))**(1\/12) assuming u is positive.\nAnswer: u**(7\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*n + 255 = 280, -3*t + n + 7 = 0. Let k(z) = -2*z**3 + 2*z**2 - 4. Let u(h) = h**3 - h**2. Determine t*u(p) + k(p).\nAnswer: p**3 - p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-7 + 160\/24)*-16733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6341 (base 8) to base 16.\nAnswer: ce1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/5 - 12074*i**3\/5 - 36445369*i**2\/5 = 0. What is i?\nAnswer: -6037, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + w + 1. Suppose -4*u - 932 = -908. Let j be (-30)\/2 + 7 - u. Let p(n) = -5*n**3 - n**2 + 2*n + 2. What is j*p(s) + 4*y(s)?\nAnswer: 6*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8652\/19 or -454?\nAnswer: -454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -673, -638, -555, -412, -197, 102, 497, 1000?\nAnswer: 1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((55\/(-478082))\/5). What is s rounded to the nearest 100?\nAnswer: 43500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 442\/6 - 8\/12. Find the third derivative of 51*f**2 + 73*f - v*f + f**5 - 2*f**5 - 12*f**4 wrt f.\nAnswer: -60*f**2 - 288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0579 to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2060164.\nAnswer: 2, 515041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**4\/4 + 2*i. Let f(k) be the second derivative of -k**4\/2 - k**3\/3 + 629*k. What is v(f(q))?\nAnswer: -108*q**4 - 72*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 50. Let n(v) = -v**2 + 8*v + 7. Let l be n(r). Calculate the smallest common multiple of 6 and 0\/(-4) + l*-1*11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2460\/80)\/((-462)\/(-56)) and -23\/1264.\nAnswer: 13904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 3, 324, 194, -2\/7, -1\/9?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-145)\/(-10))\/(636\/424)?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 17616.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1)*a*a)\/(a**(-1\/3)*a)*(a*a**(-8)*a)\/(a**19*a) assuming a is positive.\nAnswer: a**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35.3 + -36.36. Are w and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 11*y - 15. Find the second derivative of 5*b - 56*b**3 - 3*b + 56*b**y - b**5 wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 12*g**3)*(351*g - 4*g + 31*g).\nAnswer: 4536*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 768956*c**4*t + 13*c*t - 7128256*t wrt c.\nAnswer: 3075824*c**3*t + 13*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 226 - 225. Let k be (-3 - (-15 - -8)) + 5*w. Solve 0 = 5*g - k*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-12)\/(-3))*23\/(-46)*20\/(-6).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 105782364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -874.4299 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 66803 to the nearest 100.\nAnswer: 66800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 519339*w - 1558019. Calculate c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 13414 = -341*p - 12*p for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2636500 divided by -105460.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - 28*w + 591. Calculate j(13).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.03 (b) 26 (c) 0.3 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 6*n**2 - n**3 + 2*n + 2 + 4*n**3 + 2. Calculate the remainder when 46 is divided by v(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -288, -3, -5, 0 in ascending order.\nAnswer: -288, -5, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, j: 7}. Give prob of sequence jjfj.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 700, -3\/2, -3\/5, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/(-12) + 1)*18\/(-28). Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -22 + 0*f**2 + 16*f**3 - 4*f**2 - 17 + 9*f + 35. What are the prime factors of j(2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -57, 24, 201, 510, 987?\n\"Answer: 6*t**3 + 12*t**2 + 3*t - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = 6*n + 41. Let r = 548 - n. Suppose -2*j + 49 = 4*i - r, 2*i - 262 = 2*j. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916868?\nAnswer: 2, 229217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -42.6073, 0.1 in increasing order.\nAnswer: -42.6073, 0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49974406151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = 3. Suppose -13*t + x*t = -12315. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966.7556 litres in millilitres?\nAnswer: 966755.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 3. Let t be s(0). Let w(n) = -n + 27. Let g be w(-15). Suppose t*f - g = 45. Calculate the remainder when 57 is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (280200\/(-140))\/(40\/16*2\/(-70)). What is u rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 726*m**3 + 7.\nAnswer: -726*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -63*a**2 - 32*a + 18. Let i(g) = 22*g**2 + 11*g - 6. Determine -6*h(p) - 17*i(p).\nAnswer: 4*p**2 + 5*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 22*t**2 - 629*t + 6. Let u(z) = 39*z**2 - 1259*z + 11. Calculate 7*n(p) - 4*u(p).\nAnswer: -2*p**2 + 633*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 23922 = 2*a, -7*a + 3*a + 47868 = -4*u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 1, j: 5, n: 2}. What is prob of sequence jj?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyx when three letters picked without replacement from xyxxxxxyxxyxxxxxxxxx?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l + 2*x, 3*l + 0*x - 5*x - 4 = 0. Let z = 0.2 + 0.8. What is the closest to 1\/2 in l, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(2187))**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r - 2\/11*r**3 + 26\/11*r**2 + 0 = 0. What is r?\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.68 - -0.22. Let z = b + 2.6. Round z to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22911 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 3*c**4 - 3*c**4 + (5*c - c - 5*c)*(0*c**3 - 3*c**3 + c**3) + (2*c**4 + 0 + 0)*(1 + 4 - 3) - 4*c**4 + 4*c**4 - c**4 - 11*c**4 - 2*c**4 + 0*c**4.\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59573127 divided by 3?\nAnswer: 19857709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 95 + 5. Suppose -3*n - 2*p - 128 = 0, 5*n + 109 + 71 = 5*p. Calculate the remainder when (-1992)\/n - (-2)\/o is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -500046*f**2 - 7*f - 50370.\nAnswer: -1000092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywwak. Give prob of sequence wy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 9*l - 6. Let f be g(-10). Let a = f - 2. Let m(u) = -5 - 2*u + 4 - 2*u + 9*u + u**a. Determine m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/3 (b) 0.46 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 11*b - 28. Let o(w) = 2*w + 14. Let d be o(-10). Let x(q) = 8*q + 42. Let t be x(d). Let f be h(t). Solve s = -f + 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*(sqrt(112) + 4) - (2 + (sqrt(112)*-4)**2)).\nAnswer: -1778 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -1)\/((-1)\/(-6)). Let i(r) = 7*r**3 + 5*r. Let g(t) be the second derivative of -t**5\/5 - t**3\/2 + 20*t - 8. What is o*i(u) + 10*g(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2, -21 in decreasing order.\nAnswer: 2, 1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 231\/44*(-4)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 6)\/((-314)\/2198)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12920 + 12922. What is the closest to -3 in -1, 15\/4, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 6839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*(-1)\/(-1 + 4). Let f = 35 + -24. Suppose 0 = u*l + 4*y - 55 + 16, 0 = 2*l - 3*y - f. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 8 (b) -3\/2 (c) -2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0751 - 5.1949. Let u = -0.03 + g. Let j = u - -5. Which is the third smallest value? (a) 2 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14510636 (base 7) in base 6?\nAnswer: -45333012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x**3 - 9*x**2 + 9*x**2 - 13*x**3.\nAnswer: -42*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1 - 99\/(-3). Suppose 0 = -5*h - 14 + m. Let g(s) = s**3 + 4*s**2 + 2*s + 1. Let k be g(-2). Solve 0 = q + h*t + 5, -k*t = -t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 + -135. Let z be (2 - 24\/10)*(x - -1). Suppose 8*o - z*o = 78. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 530 by 2.\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.69 and 107.\nAnswer: -73.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -46. Calculate the remainder when i is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 - 4*w + 202. What are the prime factors of n(12)?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 413?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 2*j + 9*j)*(2 - 5 + 5) + 0 + 0 - 33*j.\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 21*m**2 + 11*m - 3. Determine v(-4).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 16\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*n**4 + 3*n**3 - 800*n**2 - 12975.\nAnswer: 108*n**3 + 9*n**2 - 1600*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1. Let f(l) = l + 1. Suppose 0 = 2*k, -5*k + 3*k = 3*x - 15. Let u(n) = x*t(n) + 3*f(n). Find the first derivative of u(j) wrt j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**3 + 3*h**2 + h + 1. Let b(o) = -4*o - 23. Let n be b(-6). Let f(u) = u**2 + u + 1. What is n*f(x) - d(x)?\nAnswer: 4*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 969682?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2. Let o(p) = -p. Suppose -196*k + 194*k + 12 = 0. Let r(n) = -14*n. Let f(s) = k*o(s) - r(s). Give x(f(m)).\nAnswer: -192*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 48 (b) -9 (c) -513\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 76, 137, 210, 301, 416, 561?\n\"Answer: o**3 + 54*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3639, 3660, 3681?\nAnswer: 3702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 2*a**3 - 13*a**3 + 12*a**3 + a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/3181166 and -47\/477?\nAnswer: 28630494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315 + 324 - (16 - 0)) + (-1 - 1) + 93.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) - (-30)\/20. Suppose z*s - 35 = -3*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -9*l**8\/2 + 7*l**4\/12 + 5*l**3\/6 - 9*l - 2. What is the third derivative of b(i) wrt i?\nAnswer: -30240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 10. Let t be c(7). Suppose -y + 1 = -0*y. Suppose -y - 1 = n - 3*q, -q = 0. Put -1, n, t in descending order.\nAnswer: t, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/s**(-2\/7)*s*(s*s**(6\/5))\/s*s*s*s)\/(s**0)**(-2\/81))\/((s*s**(2\/5)*s*(s*s**(-3)*s*s)\/s)\/(s**0*s**(-6)\/s*s)) assuming s is positive.\nAnswer: s**(38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4\/l)\/l*l**(-6))**(-18) assuming l is positive.\nAnswer: l**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -870.491 to zero dps.\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7737.5569 - -7738. Let p = 0.73 - 0.29. Let c = p - f. What is c rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 30. Let w be 1*(8 - 17) + -4. Determine y(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 2 (b) 4 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 1. Let x(d) be the third derivative of -d**4\/8 - 4*d**3\/3 + d**2 - 5*d. What is 14*o(k) + 2*x(k)?\nAnswer: 8*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 6*c + 5. Let i be a(6). Let r be (i\/(-4))\/(7\/56). Let l(m) = m**2 + 10*m + 4. What is l(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/25538 and 46\/43607.\nAnswer: 1113635566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-8\/7)*q*q**(-5)\/q)\/(q**(-37))**20)**(1\/13) assuming q is positive.\nAnswer: q**(5160\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 12.357, -0.5, -0.43?\nAnswer: 12.357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11606765?\nAnswer: 5, 2321353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -8. Suppose -s*d + 0*d - 6 = 0. Let z(q) = q**3 + 4*q**2 + 2. Determine z(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113010021 (base 4) to base 10.\nAnswer: -94473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from {x: 2, v: 5, r: 7}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-323)\/(-133)) - (-202)\/(-29).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 4, -5, 40?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0 + 8. Suppose 0 = -2*n + m + 12, n = -3*m - m - 12. Suppose -24 = -w*i - n. What is the remainder when 18 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -1 - -1) + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 4*s + 2*s - 2*s**3)*(s**2 + 0 + 0).\nAnswer: -s**5 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Suppose -6*y = -y - 50. Let c = 24 - y. What is the remainder when c is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 + 367850*d**3 + 22552393032*d**2 + 460895738685408*d + 460873186660224.\nAnswer: 2*(d + 1)*(d + 61308)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4009 and -50\/37071223.\nAnswer: 37071223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3*g - 1128, -2*m + 4*g - 1528 = -6*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/50 + 596\/40. What is the highest common divisor of k and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - e7?\nAnswer: -ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 2. Let u be v(-3). What is the common denominator of -4 - (183\/18 - u) and 11\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88899 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 96, 127, 178, 255, 364?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6*a - 36. Let u = a + 15. Solve -10 = u*w + 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 703, 2291, 4937, 8641, 13403, 19223, 26101?\nAnswer: 34037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 5, x: 15}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*i - 8*i. Let q be (-1)\/(-3) + (-452)\/i. Let c = 382 + q. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074 take away -0.05?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1697 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43168 is divided by 429?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -103, 0.1, 14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*b - 374 = -198*b + 380*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126.894 + 127. Round q to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 - 410*q**2 - 11165*q - 100920 = 0. Calculate q.\nAnswer: -29, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p**5\/3 - 23*p**4\/2 - 34*p**3\/3 + 23*p**2 + 17*p\/3 - 23\/2 = 0 for p.\nAnswer: -1, 1, 69\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-14) - (-24)\/(-14). Is (x + (2 - 2))\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 1, o: 4, j: 1, m: 6}. Give prob of picking 2 m and 1 j.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23157.9716 rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -6*y**5\/5 + 5*y**4\/12 + 5*y**3\/6 - y - 607. Let f(n) = -23*n**3 + 4*n**2 + 4*n. Calculate -5*f(a) + 4*r(a).\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*1)**2 + 2 + 4*sqrt(245)*1 - (sqrt(245) - 3*(-1 + sqrt(245))**2)*4) + -4.\nAnswer: -168*sqrt(5) + 3195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + 58. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163200156.\nAnswer: 2, 3, 7, 1942859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-11)*w)\/(w\/(w\/(w\/(w**(-1\/4)\/w)*w)))*(w*w**(3\/4))\/(w**(-1\/19)*w*w*w))**(-1\/41) assuming w is positive.\nAnswer: w**(549\/1558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 391078?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f - 54. Suppose 4 - 23 = -g. What is the common denominator of 40\/(-6)*12\/f and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 + t - t - 12 + 12.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a meter in centimeters?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*n + 2*g = 397*n - 40, -4*n + 4*g = 60 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048825500 rounded to the nearest 1000000?\nAnswer: -1049000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) 7 (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = -0. Let w(f) = f + 4. Let d be w(-4). Let t be 0 - 2 - (0 - d). Is o greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlsleddlsdsllsslld. What is prob of picking 3 l and 1 s?\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 3*v - 5*v. Let t(f) be the second derivative of 3\/20*f**5 + 0*f**2 + 1\/3*f**4 + 0*f**3 + v - 3*f. Find the third derivative of t(c) wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgiscgssrrrrhs. Give prob of sequence rs.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/3*(-765)\/30. Suppose -s - 1 = 0, 5*s - 611 = -5*y + d. Suppose 3*b + x + 4*x = y, 5*b - 4*x = 330. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*r + 2226 + 36483 = 0. What is the least common multiple of r and 575?\nAnswer: 6325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 + 154. Suppose 450 = 86*m - c*m. Calculate the remainder when 143 is divided by (-5*(-10)\/m)\/(2\/87).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*m - 5*c = 533, -4*m + 2859*c = 2858*c + 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 242\/43907 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**3 + y**2 + 2*y + 1. Let n be z(-1). Suppose 8 = -x + n*x. What is the lowest common multiple of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*r = -4*f - 3, -5*f + 39 = -4*r. Let m = -0.1 + -0.2. What is the nearest to -2\/5 in 1\/3, m, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let q be (-2 - -3)\/(2\/4). Suppose -7882 = -2*j - 7872. Let t(x) = j*x**2 + 6*x**q - 7*x**2. Determine b(t(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 2, h: 4}. Give prob of sequence dh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11) - (-3 + (sqrt(11) - sqrt(11)*-1) + sqrt(11) - sqrt(11)))) + 5 + sqrt(11)*-1)**2.\nAnswer: 4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s - 44 = 0. Let l = 14 + -9. Suppose -l*w = 0, 0*a - 16 = -4*a - 2*w. Calculate the remainder when s is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/372713064 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18a (base 15) in base 6?\nAnswer: -1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -27 - j**2 + 5 + 11*j - 8 - 29*j. Let i be o(-16). Solve 4*c - 4*z = 36, 0*c - i*z = c + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-4 + -4)) + -7 - -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 21. Let o = 3 - y. Let c = -4.9999995 - o. What is c rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**4 + 10623*m**3 + 3838 wrt m.\nAnswer: -8*m**3 + 31869*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-8) - (-75)\/20. Let v(b) = -4*b + 10. Let g be v(m). What is the tens digit of (-18)\/(-27)*(-2 + (-241)\/g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**0*v**1*v*v*v**(-2\/11)*(v**(1\/2)*v)\/v)**(-8\/3) assuming v is positive.\nAnswer: v**(-380\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q + 128 = 128. Find the common denominator of 32\/153 and q.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167 - 167.3. Which is the third smallest value? (a) 5\/4 (b) -1.8 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -788*x**3 - 5776*x**2 + 22358971*x?\nAnswer: -4728*x - 11552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -68\/7, -0.6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (1 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38701, 38699, 38697, 38695, 38693, 38691?\n\"Answer: -2*o + 38703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*o - 150, 2*o - 564 = -5*x + 147. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z - 31. Let a(h) = -2*h + 3. Let t be a(5). Let d = -1 - t. What is the greatest common divisor of d and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12705533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -12*u - 4. Let c(g) = 6*g. Determine a(c(x)).\nAnswer: -72*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzzb. What is prob of sequence zb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1028 and 2570.\nAnswer: 5140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18341 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u - u**4 + 3*u**2 + 3*u**2 + 2*u**4 to the form o*u**4 + l*u**2 + y*u**3 + a*u + d and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -23*i - 36. What is p(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10477, -10489, -10509, -10537, -10573?\n\"Answer: -4*s**2 - 10473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -651598*m**5 - 1523*m - 60.\nAnswer: -13031960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115116439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012004563 rounded to five dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -247, -391, -545?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 4*s - 98397*s**2 - 98439*s**2 + 295242*s**2 - 98578*s**2.\nAnswer: -172*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 3 in descending order.\nAnswer: 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 11*t - 7*t + 11*t - 2. Calculate the remainder when x(8) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/16 and 37374\/(-248388) - 8\/(-56).\nAnswer: 47312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 147315036 and -1?\nAnswer: 147315037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2 = 2. Suppose 4*t + 31 = 5*p - 681, p - 5*t - 134 = y. What is the highest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30116 and -4.50662?\nAnswer: 30111.49338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 998986 or 999179?\nAnswer: 999179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51382*d**4 + 11000*d**2 + 1?\nAnswer: -1233168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v - 0. Let h be (-6 - -2)*(-1)\/v. Solve 5*g + h*x = 4*g - 9, -2 = -2*g + x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8*8\/(-160))\/((-2)\/10645) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -403806890 to the nearest 100000.\nAnswer: -403800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0 + 0*a - 1\/10*a**5 - 5\/24*a**4 - 1\/120*a**6 - 49*a**2 - 1\/3*a**3. Calculate g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 7. Suppose -4*p + h*p - 23 = 3*j, 15 = -5*p + j. Let z be (p - -1) + 4 + -2. Which is smaller: z or 2\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56474151 and 2008539.\nAnswer: 58482690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7996484 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrtxwwwwixxirwixwwwx. What is prob of picking 1 i and 1 x?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -664 (b) -856 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 4*f - 2*k, -5*f - 279*k + 80 = -274*k. Solve q + f = -5*c - 3*q, -2*q + 24 = -2*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z. Let q(c) = -247*c. Determine k(q(u)).\nAnswer: -2470*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 452 - 353. Calculate the remainder when h is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -162 + -213?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -1858, 3, -4, -1, -13 in decreasing order.\nAnswer: 4, 3, 0, -1, -4, -13, -1858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u, -21 = -3*g - 3*u. Let m = -8 + 14. What is the lowest common multiple of m and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*l - 380, 0 = -0*m + 2*m + 3*l + 194. Let x = m + -38. What is x rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + 0.13. Let k = 0.25 - p. Let y = k - -0.3. What is y rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 2, u: 1}. Give prob of sequence jj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02329 rounded to four decimal places?\nAnswer: -0.0233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-7 + (-6 - -14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14999, -29986, -44971, -59954?\nAnswer: -74935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63)\/6 - (-1)\/2. Suppose 9 + 7 = -4*t. What is the remainder when ((-18)\/(-5))\/(t\/f) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.14 - 14837893331\nAnswer: -14837893332.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64157?\nAnswer: 64157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/243 - -863\/1701. Let i = -1\/7 - v. What is the nearest to -1 in 0.5, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-11)\/165)\/((9\/120)\/(3\/24)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 - 5454885*q**2 + 16364690*q - 10909800 = 0. What is q?\nAnswer: -1090980, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 188 (b) -2 (c) 0.2 (d) 45 (e) -7 (f) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3415 - -3408. Which is the closest to 3\/4? (a) -7\/4 (b) f (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 11:31 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7446069.\nAnswer: 3, 29, 47, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.01, 153, 13?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 570*d*i - 132*i - 6 wrt d?\nAnswer: 570*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3\/7 + 268*w**2 - 1075*w - 9400\/7 = 0.\nAnswer: -1880, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.0234.\nAnswer: 0.0234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - 8*70\/(-112). Factor 16\/11 + 2\/11*g**m - 12\/11*g.\nAnswer: 2*(g - 4)*(g - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 124 = -5*c - 967, 4*c = m - 1091. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 6*h - 10. Let g(d) = d**2 - 7*d - 13. Let a be g(-3). Suppose 9*j = a + 28. Let s be b(j). Let r(f) = -2*f**2 - 5*f - 1. Determine r(s).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.303481 rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 311*d**4\/24 + d**3\/6 - 1857*d**2 - 2. Let o(i) = -i**2 - i**2 + 0*i**2. Calculate x(o(k)).\nAnswer: -622*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**2 - h - 1. Suppose -2*z + 2 = -4*z. Let q = 3 + 0. Calculate the least common multiple of u(z) and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69720 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**2 - 559*b + 78349. Calculate c(-192).\nAnswer: 1357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998537 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 4*h + 0*h)*(-1 - 17 - 23).\nAnswer: -41*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-9) - 38\/(-9). Suppose 4*u - i - 65 = -0*i, 63 = v*u + i. Suppose r - 6*r + 200 = 0. Calculate the highest common factor of u and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.09 + 4.19. What is the nearest to 0.1 in -2\/5, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.84 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*v + 4, 8 = o - 0*v - 4*v. Suppose -9*k + 1718 + 631 = o. What are the prime factors of k?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, y: 1, q: 7, v: 2, t: 5}. What is prob of picking 1 q, 2 v, and 1 y?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41479 is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 78? (a) -6 (b) -0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrnhr. What is prob of sequence hrn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148 - 238. Let i = l + 143. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 4*y + 3*y)*(2 - 2 - 2*y) - y**2 - 5*y**2 + 4*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.14456 + -2.47. What is z rounded to 2 decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.132 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/23, 1\/6, -0.5008, 1\/2 in descending order.\nAnswer: 6, 1\/2, 1\/6, -1\/23, -0.5008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 4*w**2 + 1. Let c(u) = 7. Let o(g) = g - 14. Let r(f) = 5*c(f) + 3*o(f). Let l be r(7). Suppose 6 - l = -4*h. Give t(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5512 + 5528. Let g be 5 + -3 - -1*3. Suppose g*i - 117 = 268. What is the remainder when i is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-25))\/((-9)\/(540\/(-32))). What is the biggest value in -23\/2, l, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3 + 4, -2*v + 1215 = -t. What is the remainder when v is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s - 4 = -18*s. Let x be 3\/(-6)*3*s. Is -2 - x\/(6\/(-133)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 3:53 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l**2 + 8*l - 4. Let v be m(-2). Do v and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6133 - -3?\nAnswer: -6130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*k + 221*k - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1096 = 4*w, 5*w = 6*f - 4*f - 1097. List the prime factors of f.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -941*n**2 + 46*n + 10. Determine q(-2).\nAnswer: -3846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - a + 8*a**4 + (-a + a + 2*a**2)*(-2*a**2 + 3*a**2 + 2*a**2).\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 5*h + 8. Let x be w(-6). Suppose x*a + 12 = -4*g, -1 = 5*g + a + 20. Let v = 1 - g. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g + 4 + g**3 + 3*g**3 - 4 wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (4*-3)\/(-2). Let r(z) = -1. Let u(n) = n - 1. Let y(g) = -r(g) + 5*u(g). Is 11 a factor of y(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.85 - 0.25. Let d = u - -5.6. Let z = d + -4. What is z rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 12*f - 4*u = 16, -f + 4*u = -12. Let r = -0.6 + 8.6. Which is the nearest to -2? (a) f (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 - 490\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-4)*h)\/h)\/h*h)\/((((h*h*h**1*h)\/h)\/h)\/h)*h**(-1\/10)\/h**(-9\/4)*((h\/h**(2\/9))**(-1\/2))**19 assuming h is positive.\nAnswer: h**(-1663\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21074)\/(-14) + 10\/(-35). Suppose 5*j - 7*j + t = 5*i, -4*j + 5*i + 2965 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 149 - 555 = 0. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/13, -2, -0.3, -19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 19*y - 70 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c - 50*c = 12. Let h be 34\/14 - c\/(-28). What is the derivative of h*p - 19 - 4*p - 6*p - 3*p wrt p?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/(105\/270*-6)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, i: 1, j: 2, l: 1, w: 1, f: 3}. What is prob of picking 2 j, 1 i, and 1 f?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1833 and 6721?\nAnswer: 20163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -106, -17, 108?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m - m + (3*m - 5*m + 0*m)*(0 + 3 - 4) + 2*m - 2*m + m + 0*m + 4*m - 3*m - 6*m + 2*m - 4*m + 3*m - 4*m - 2 + 2*m)*(-39*m + 46*m - 26*m).\nAnswer: 76*m**2 + 38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {x: 6, m: 2, s: 1, z: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 104207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -400878, -400880, -400882, -400884, -400886?\n\"Answer: -2*q - 400876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**3 + 93*u**2 - 35*u + 224. Calculate r(23).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 540941823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 19*m**2 - 27*m - 2. Let w(o) = o. Calculate i(w(h)).\nAnswer: 19*h**2 - 27*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 41421, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/2 and 131\/960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1945 * 0.14.\nAnswer: -272.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -2*m + 20. Suppose -m*d + 190 = -2*w, -3*w = d + d - 165. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 6*w + 3. Let l be q(-4). Let z = 154 + -152. Let u be z\/(4 - 18\/4). Put 1, l, -3, u in ascending order.\nAnswer: l, u, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-6 - 2) + (-5 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 52. Suppose 4*y = 2*y + k. Let p = y + 6. Calculate the remainder when p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5040) - (1*sqrt(5040) - sqrt(5040)))*-4 - (-2*2*sqrt(5040) + sqrt(5040)))\/(((sqrt(5) - (sqrt(5) - sqrt(5)*-1))*2 - sqrt(5) - sqrt(20)*2)*-4).\nAnswer: -3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7400 - 7398. Put i, 301, 0 in decreasing order.\nAnswer: 301, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 567 = -5*f. Suppose -3*z + 15 = 0, -5*z + 76 = 40*r - 37*r. Calculate the remainder when f is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Suppose 3*q - 9 = -0*q. Let s be v(q). Let x be (-2 + 16)\/(-2)*(-27)\/9. Calculate the highest common divisor of s and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130776*s*v**2 - 21055*s*v + 3546*s - 762*v**5 + 2*v wrt v?\nAnswer: -261552*s - 15240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2. Suppose -y + 0 - 2 = -2*r, 3*y - 4 = r. Let z(i) = -3*i**2 - y + 2*i**2 + 2. Calculate z(l(g)).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -3*x**4\/4 - x**3\/3 + x - 15. Let d be n(-1). Calculate the highest common factor of 24 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*x + 2909996 = 0, 4*n = -2*x - 1887384 - 440612. Round n to the nearest 10000.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**3 + 2*y**2 - 40*y - 10. What is the units digit of h(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by -309935.\nAnswer: 128\/309935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85519844 and 12352.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*v + 9 = -11, -4*p + v = 20. Let n(l) = -l**3 - 5*l**2 - 2*l - 6. Let h be n(p). Find r such that -h + 4 - 3 + 5 - 2*r**4 - 4*r**3 + 4*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 824636.2 kilometers in micrometers?\nAnswer: 824636200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 3)*(-5*s - s + 3*s) - 1 - s + 1)*(3*s + 1 - 1)*(-1 + 0 + 0).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 937*o + 2501. Let r(b) = 464*b + 1251. Let l(q) = 3*m(q) - 5*r(q). Find the first derivative of l(w) wrt w.\nAnswer: 491","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333461000 rounded to the nearest 1000000?\nAnswer: 1333000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1298995 divided by 6.\nAnswer: -1298995\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 380578 > 380081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6961*w**3 + 36*w**2 - 159*w wrt w?\nAnswer: 41766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7548 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + r - 6, 69*j - 75*j = r + 30 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 8378*n**3 + 295*n**2 + 295*n. Let g(k) = -57*k**3 - 2*k**2 - 2*k. Give 590*g(p) + 4*i(p).\nAnswer: -118*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6624 (base 8) to base 9.\nAnswer: 4682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -1 - (-294 - -302)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a36 (base 12) to base 14.\nAnswer: -1b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + -8 + (-2124 - -9)\/(-5) is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z**2 + z. Let c be r(1). Suppose q - c = 3. Suppose q*n - 5 = -5*h, h + 4*h = 2*n + 5. Let p(y) = -4*y - 1. What is p(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -162, -357, -552?\n\"Answer: -195*q + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10967200 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -899*s = -12150 + 36423 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1399588 - 1399588 - 11*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, u: 3, j: 6, t: 1, r: 1}. What is prob of sequence uuj?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h = -4*y + 100, h = 2*y + 37. Suppose 0 = -0*f + 2*f + 4, 0 = 5*d - 2*f - h. Calculate the remainder when 8 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*-2*(-5 + 10). Let k be ((-48)\/h)\/(4\/10). Let f = -8 - -25. Solve t = k*t - l + f, -2*l - 21 = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 918 and 702?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + o = -9, 3*d = -12*o - 5*o - 264 + 222 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63516 and 8956.\nAnswer: 142212324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -76*w - 8. Let h(y) = -1. Let u(m) = 5*h(m) + r(m). Let i be u(26). What is the remainder when i\/(-18) + -2 + (-5)\/(-2) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrj when three letters picked without replacement from {j: 2, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 79. Let j = -139 + 116. Put o, 0, j, -0.5 in increasing order.\nAnswer: j, o, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(3) - (sqrt(3) + 0))*6 - sqrt(3))**2 + (((-1 + sqrt(192) - sqrt(192))**2 - sqrt(3)) + sqrt(3) - sqrt(3)).\nAnswer: -sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 75*o - 5. Suppose 10 + 3 = 4*a + l, 4*l = -a + 22. What is the hundreds digit of x(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 23\/2. What is the third biggest value in 1, -3\/11, i?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x + 704 + 304 = 4*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-14) - 3*(-2)\/12. What is the second derivative of 42*f**2 + 14*f - 2*f - 11*f - 18*f + 60*f**k wrt f?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzz. What is prob of picking 2 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 18. Let g(o) = -13*o - 48. Let n(i) = -7*i - 44. Let w(d) = 2*g(d) - 3*n(d). Give 11*m(v) - 6*w(v).\nAnswer: -3*v - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13\/(-65))\/(21\/5 + -4). What is the closest to 0 in 0.5, k, -2\/169, -2\/7?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 - (-8 + 34412\/1806). Do y and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 17*t**2 + 19*t + 26. Let x(h) = -47*h**2 - 56*h - 77. Let v(b) = 11*r(b) + 4*x(b). Determine v(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**4 - l**4 - 1972*l**3 + 1975*l**3 + 2*l**4 + 9*l + 3 in the form w*l**2 + s + m*l + t*l**3 + y*l**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, a: 6, f: 1, l: 1, x: 1, u: 6}. Give prob of picking 2 s.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**7\/210 - n**6\/360 + n**3\/3 - 3*n**2. Let o(f) be the first derivative of h(f). Find the third derivative of o(d) wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0776 - -0.4776. Which is bigger: 9.6 or u?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 373 - 450 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {t: 1, a: 6, f: 2, p: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 12*m**2 - 6. Let n(h) = -4*h**2 + 2. Let d(a) = -23*a**2 + 12. Let x(w) = d(w) - 6*n(w). Give x(t(z)).\nAnswer: 144*z**4 - 144*z**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {b: 4, u: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46.4 + 42. Round i to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**3 - 36*f**3 + 18*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 15. What is the tens digit of 18 - -5 - 3\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (80 - (101 + -46))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1830000 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**6\/30 + 12*r**5\/5 - r**4\/4 - 254*r**2 + 49*r - 10. Differentiate j(d) wrt d.\nAnswer: -4*d**3 + 144*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96*t**4 + 747*t**2 wrt t.\nAnswer: -2304*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 7*s**2 - 9*s + 121. Let t be z(8). Which is greater: t or -573\/40?\nAnswer: -573\/40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtg when three letters picked without replacement from {g: 2, t: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (384\/6912)\/(1*(-1)\/(-6))*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 633 = 3*d, 2*v + 3*v - d = 1055. What are the prime factors of v?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 126\/9829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*z = -15, -6*z - 12 = -2*p - 5*z. Suppose 0 = m + 4, -p*n - 27 = m - 3. Which is smaller: -3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/144060 and 11\/196980?\nAnswer: 9652020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 6*b - 1. Let c be d(5). Suppose 0 = 5*a - 3*w - 45, 3*a - 2 = -3*w + 1. Let x = a - -3. Solve c*t = t + x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 8*u = 44. Let i = u - -102. Calculate the greatest common divisor of i and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 0*s = -11313. Suppose 2*r = 2*v - 1398, -5*v - s + 4732 = -r. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 4*a + 6, -90*b = 2*a - 86*b + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.3 (b) 81\/17 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -291*h**3 - 636 with respect to h.\nAnswer: -873*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/9 and 43\/31?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (12 - (-8 - -17) - (3 + -1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c5ad (base 15) to base 16.\nAnswer: -2f47f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 635 divide 2225756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/133 or 1?\nAnswer: -30\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Let g(o) = 2*o**c + 16 + 3*o - 11 - 8. Let v be g(-4). What is the highest common divisor of v and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 65*h + 11. What is t(27)?\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -158 - 3?\nAnswer: -15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5326147*h**4 - 8*h**2 - 151*h - 84 wrt h.\nAnswer: 127827528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*o + 17*o - 32*o)*(0*o + 0*o - o) + 4*o**2 + 12*o + 5 - 13*o - 6*o**2 in the form r*o**2 + b + n*o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 8*h**3 + 10*h**2 - 2*h. Let g = 8 - 5. Suppose 16*u + 57 = -g*u. Let t(j) = 7*j + 3. What is u*l(y) + 20*t(y)?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15406 - 15404. Suppose -1 + f**o + 1\/2*f**3 - 1\/2*f = 0. Calculate f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -2*j**5\/5 - 677*j**4\/4 - 1370*j + 2262. Find the first derivative of w(t) wrt t.\nAnswer: -8*t**3 - 2031*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 550575 by -45.\nAnswer: -12235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -300, 0.3.\nAnswer: -300, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 228 = 3*v - 3*x, -4*x + 304 = -4*v. Let q = 141 + v. Suppose -n - 55 = -q. Calculate the least common multiple of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 121. Is s a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -5\/11, -10, 209, -3\/22, -0.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6*(-27)\/(-6). Let x(v) = 9*v - 9*v - 2*v**2 - 1 + 3*v**2 - 4*v**d. What is x(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s*x**3*z**4 - 12*s*x**3*z**2 + 3779*s*x**2*z**4 + s*x*z**2 - 6*s*z - 2*s - 14*x**2 + 2*z wrt z?\nAnswer: 48*s*x**3*z + 90696*s*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-9\/11)\/(q**(-1)*q**(-1\/3)*q)*((q*q\/(q\/q**(-1\/2)*q))\/q**2)\/(q**(-5)*q**4) assuming q is positive.\nAnswer: q**(-131\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.9. Let y = 0.2 + i. Let r = 0.29 - 4.29. Which is the second biggest value? (a) 0 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 7. Let k be s(15). Let n = k - 7. Solve 2*p - 3*p = n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - -69. Is c greater than 143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*h - 2, 8*l - 5*h - 8 - 29 = 7*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 589937896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95235983 and 69725.\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**3*p**3 + 4*n**3*p**2 - n**3*p - 2484*n**2*p**2*y - n**2*p*y - 1257*n*p**3*y - 27*n*p**2*y - 2661*p**3*y + 3*y wrt p.\nAnswer: -24*n**3 - 7542*n*y - 15966*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(-2*u**4 + 4*u**4 - 3*u**4) + (-u**4 + 4*u**4 + 0*u**4)*(9 + 41 - 21)*(1 - 3 - 1) to q + j*u**2 + v*u**3 + p*u**4 + x*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-10) + -1)\/((-1)\/(-12)). Let r be w*(-5 + -1)\/12. Solve 0 = -3*g - 0*g - r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.51 - 3.51. Let u = 0.018 - 0.518. Sort 8, u, w, -5 in descending order.\nAnswer: 8, u, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 5037.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -81425 divided by 25?\nAnswer: -3257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.08 or -1.512?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 924 is divided by 84.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5012626.\nAnswer: 2, 2506313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 212*k. Let d be c(1). Let s = d - 52. Calculate the highest common divisor of s and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 4:32 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.59 rounded to 1 dp?\nAnswer: -24.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4135308.\nAnswer: 2, 3, 23, 14983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293451.\nAnswer: 3, 29, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175612754 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 11*r - 12. Let o be t(9). Suppose m - 14 = x, 7*x + o = 4*x. Solve -m = -2*v - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 136*r - 560.\nAnswer: (r - 140)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 12*x + 4. Let u(g) be the second derivative of 4*g + 2*g**2 + 0 + 1\/20*g**x + 2\/3*g**3 - 1\/2*g**4. Determine u(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 1234861 + 34147 + 174847. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 8162?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 12:38 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/256*268 - (-321)\/(-1712)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 6*d**2 - 20*d + 11. Determine r(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*d = 4 - 17, -3*d - 17 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 11\/437 (b) 0.127 (c) -5 (d) 0.3 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (16 - 24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from jjwomnq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 + (-13)\/(-5). Suppose 4*s = -0*d + 2*d - 306, -n*d = -2*s - 471. Suppose d = 6*g - 1419. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26004 and 42152.\nAnswer: 24911832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 3)*(-h - h + h) - 2*h - 7*h + h)*(0 - 4 + 1).\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 - 111 - 190 = 42*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6102 to the nearest one hundred.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/678 + 1421\/44070. Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Suppose -3*f - 3*x - 48 = 0, -4*f - f - 4*x = 79. Let q = f + 16. What is the closest to d in q, -0.5, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -213, -741, -1595, -2781, -4305, -6173, -8391, -10965?\n\"Answer: -o**3 - 157*o**2 - 50*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6745*k - 422520 = -293599 + 646754 for k.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2600 divided by -25.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 291 = 312 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 346\/18 - (3 - 25\/9). Suppose -l + 2*b = 5, -l - 2*b + s = 2*b. Solve 5*j + 6 = -l*a - 11, -3*a - 2*j - 14 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m + 4*m + 8*m.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 - 107*n**2 - 73*n + 41. Determine v(-35).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 248125964461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 2, w: 1}. What is prob of picking 1 s and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002639438 to six decimal places.\nAnswer: 0.000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 241338 and 5005835.\nAnswer: 2192555730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 40 - 2*t**2)*(-1 - 52*t + 3*t**2 + 0 + 114*t).\nAnswer: -6*t**4 - 124*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 608655 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 3*l**2 + 0*l**3 + 0*l**5 + 0*l + 0 - 1\/12*l**4 - 1\/40*l**6. Find the second derivative of n(d) wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x**2 - 20*x + 10. Calculate n(-5).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/75))**(-2\/93)*(g**(-3)\/g)**(-48))**(2\/35) assuming g is positive.\nAnswer: g**(2678392\/244125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4001596 divided by 58847.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 496035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*m**2 + 20*m**2 + 17*m**2)*((1 - 1 - 2*m**2)*(2 + 0 - 3) + m - m**2 - m) as l + p*m + g*m**3 + z*m**4 + j*m**2 and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -15. Let q be 662\/4 + y\/12. Suppose -7*j + q = -3*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -2 (c) -6419\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -241a6a4 (base 11) to base 4\nAnswer: -100011110311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/70 + 5\/7. Let p = 108.5 + -109. What is the third biggest value in -1\/4, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/m**(1\/4)))\/m)\/m)**(3\/35))**(-2\/33)*(m*m**10*m**(-7)\/m)**(-43) assuming m is positive.\nAnswer: m**(-14189\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 212627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 7 = -3*h - 19, 3*h - 2*a + 12 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16935, 33901, 50893, 67923, 85003, 102145, 119361, 136663?\nAnswer: 154063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/34)\/c**(-1\/25))**2)**41)**15 assuming c is positive.\nAnswer: c**(1107\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -352, 0, 3, -4 in descending order.\nAnswer: 3, 0, -4, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5065088029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015 is divided by 248.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 72 - 51 - 11 + 2*u - 3*u in the form m + l*u and give m.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -0.4, 14773?\nAnswer: 14773","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-8 + -1) - ((-20)\/3 - 2)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:32 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -221*o**3 + 222*o**3 - o + 2*o - 2*o**3 - o**3 + o**3 + (-3*o**2 - o**2 + 5*o**2)*(2*o - 3*o + 2*o) + 2*o**3 + 2*o**3 - 6*o**3 + o**3 + 0*o**3 - 3*o**3.\nAnswer: -4*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*o + 22*o + 421 = -170*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 11*x**2 + 39*x - 168. What is h(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, d: 3}. Give prob of picking 3 q.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-77*v + 77*v + 48*v**3)*(4 + 3 - 5) as j*v**3 + k*v + b*v**2 + o and give j.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/17 - (-192)\/(-102). Let m(v) = v**3 + 2. What is m(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) -58 (c) -18 (d) 1\/59 (e) 4 (f) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 510?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*o**3 - 61*o**3 - 55*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 639*n + 6892. Let r be o(-11). Calculate the greatest common factor of r and 3906.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1430 + 2?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11227178.\nAnswer: 2, 5613589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 8 - b + 10*b + 2*b**2 + 2*b**3 - 15 to the form l*b**2 + z*b + g*b**3 + f and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126 + -126.131. Let x = 64.131 + s. Let y = x + -64.0000062. What is y rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/4984 and -157\/202920.\nAnswer: 1420440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0 + 0*t - 40*t**2 + 1\/36*t**4 + 1\/60*t**5 + 0*t**3 + 1\/360*t**6. Solve q(a) = 0 for a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 411655 - 411656. Let h = -6 + 13\/2. What is the nearest to t in 1, -43, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19932, 39321, 58710, 78099, 97488?\n\"Answer: 19389*r + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.1 - -16. Suppose 115 = 5*v + 5. Which is greater: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*h + 32 = 0, -12 = 2*h - 4. What is the closest to -8.79 in 3, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/178 + -1703\/712. Let m = 4830 + -19277\/4. What is the common denominator of m and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 11:13 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1494930 by -2.\nAnswer: 747465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = y + 15, -y + 3099801 = 2*k + 3099800 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 - 6*t**2 + t**2 + (1 - 1 + 2*t)*(-3*t - t + 3*t) - 8*t**2 - 10*t**2 + 2*t**2 + (2*t**2 + 0 + 0)*(4 - 2 - 3) + 0*t + 2*t**2 + 0*t.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 835*l**2 + 835*l**2 - 626.\nAnswer: l**3 - 626","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 636615*n**5 + 10*n**3 - 17806741*n**2 wrt n?\nAnswer: 38196900*n**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 73.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*d - 109*d = 6. Suppose -9*u + 672 = -5*u + 4*a, 2*u - d*a - 356 = 0. List the prime factors of u.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, s: 2, h: 1, k: 1, e: 1, b: 1}. Give prob of picking 3 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -14*t - 3. Let f(g) = 2*g. Calculate c(f(z)).\nAnswer: -28*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6*c = 4*c + 27, -15 = -p + c. Suppose 5*w + t = 364, 79*w - 84*w + 362 = 3*t. What is the remainder when w is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-12)*(2 + -2 + -21 - (57 + -66)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -71171, -140810, -208899, -275432, -340403, -403806, -465635, -525884?\n\"Answer: h**3 + 769*h**2 - 71953*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**4\/7 - 150*f**3\/7 - 26676*f**2\/7 + 1532358*f\/7 - 20568735\/7 = 0.\nAnswer: -99, 27, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/5751 and 169\/90?\nAnswer: 57510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3251856 is divided by 9212.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177861\/88 - 18311\/8. Is l smaller than -267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, w: 1, s: 3, m: 4}. What is prob of picking 1 s and 2 m?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v + 2. Let c be r(-8). Let p = c - 61. Let b(s) = -12*s - 8. Let g be b(-4). Solve -4*x + 0*y - g = -5*y, -5*x - p = -y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 8*i**2 - 10*i + 3. Let o be 4*1\/(-5)*10\/(-4). Let z(a) = 11 + 0*a - 3*a + o*a. Let f be z(2). Give y(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 29*l - 11. Let y be a(-14). Find the third derivative of -32*g**y + 4 - 5 - g**2 + 7 wrt g.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1563698\nAnswer: -5\/1563698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 p when four letters picked without replacement from iigppigpgiipgiglpii.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 1.3. Let o = i + 0.6. Let w = 37.5 - 37.4. Which is the closest to w? (a) 0.2 (b) o (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 5*o + 2*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-78 + -1 + (-5 - -6))*-122?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**5\/8 + 27*n**4\/32 + 5*n**3\/4 + n**2\/2 - 83. Suppose z(h) = 0. Calculate h.\nAnswer: -4, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*b - 40 = -15, 0 = c + 2*b - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115035*n**6 + 3*n**3*p + 4064*n**2*p - 3*n**2 + 12 wrt n?\nAnswer: -13804200*n**3 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from ymyeo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.347 + -8.847. What is the closest to 38\/15 in 1, 2\/7, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 10. What is the smallest value in 6, -1\/3, 1\/2, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/(-75))\/(-14) - 22\/60\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30270 + -224?\nAnswer: -30514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(204)*3 - sqrt(204)))\/(5*(sqrt(12) - -1*sqrt(12))).\nAnswer: -4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d = 28*d - 4*g - 45, 3*d + 45 = -6*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**3 - k**2 + 2*k - 1. Let w be (-1 + 1)*1 + -3. Let h = w - -3. Suppose f + h = 1. Give s(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3339 + -3380. Which is the closest to j? (a) 2 (b) -4 (c) -1\/6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*q**3*w + 571073*q**3 + q*w - 19*w + 3195129 wrt q?\nAnswer: -12*q**2*w + 1713219*q**2 + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1521999 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12869827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*v**2 + 26*v**2 + 12*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 22 - (-5 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -683\/9 + 76. Let f be -1 - -10*(-6)\/12. Let z be 5\/10 - 27\/f. What is the nearest to 2 in s, z, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18423905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15\/340*(-9000)\/10125\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -31*a + 4025. Give x(130).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 4*t - 30, -3*p + 153 = -5*t + 150 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -488*v - 397 - 548 = -503*v. Let g = 5 - 2. Calculate the highest common factor of g and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/249032 and -23\/106728.\nAnswer: 747096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119057 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2910\nAnswer: -1\/1455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x - 15. Let k(c) = 105*c - 3 - 94*c - 20. Let y be 9\/(162\/32) - (-4)\/18. Let o be (-16)\/(-3) + y*3\/(-18). Calculate o*k(w) - 8*l(w).\nAnswer: -w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11943 + -6383. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txxtttxptoppts. Give prob of picking 1 s and 1 p.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -0.2, 1, -1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/6 - -2\/3. Let y = 3.18 + -1.18. Which is the nearest to 0.1? (a) y (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 129*((-64)\/(-12))\/2. Suppose 11*b = 9*b - t. What is the units digit of 9\/(-24) - b\/32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 2869.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/(-21)*(-9)\/(-2). What are the prime factors of ((-34)\/(-6))\/((-2)\/d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 48\/15 + 1 - (-12)\/(-60).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 1. Let t(q) be the first derivative of q**4\/4 - 7*q**3\/3 + 9*q**2\/2 + 4*q + 18. Let s(z) = 2*h(z) + t(z). Calculate s(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392, -21, -1116, -3235, -6720, -11913, -19156, -28791?\nAnswer: -41160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111 - 106) + (-5)\/(10\/76) - (-32 - -32)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 996333 and 69738.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r*r)\/((r**(-9)\/r)\/r)*(r**(-2\/5)*r)\/((r**(-1)\/r)\/r)*(r\/r**(-1\/6)*r**(2\/7))\/((r**(3\/2)\/r)\/r**0) assuming r is positive.\nAnswer: r**(1633\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4021 - 1321. Round m to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150 (base 10) to base 14\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2737 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 2:42 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -54261 at most -54258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -1251, -3, -20, 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 19 + 14)*(-2*l + 0*l + l) to z + v*l and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 22, 23, 24?\n\"Answer: p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1310449 by -68971.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a. Let b(z) be the first derivative of z**5\/6 + 5*z**3 - 3. Let n(u) be the third derivative of b(u). What is n(q(k))?\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 0.8, 4, 112, 47 in increasing order.\nAnswer: -69, 0.8, 4, 47, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 585*i**3 - 586*i**3 - 4 - 24*i**2.\nAnswer: -i**3 - 24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.61 - 0.03.\nAnswer: 3.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 48\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 1:02 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 15\/(-10))*-8. Solve p*k + 3*t + 1 = 3, 2*t = 5*k + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -415*a - 2388*a**3 + 415*a + 2306 wrt a?\nAnswer: -7164*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5990466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 234 or 236?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o + 6. Let v(n) = -14*n - 17. Suppose k + 5 = -4*b, -7 - 16 = k - 2*b. Let g be (12\/8 - 1)*-12. Determine g*v(i) + k*u(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2110012112000 (base 3) to base 5\nAnswer: 313144401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/(-12))\/1*80\/(-30). Suppose p*v - 541 = -421. What is the remainder when 52 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 936\/(-1638)*(-10)\/8\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*q = -144. Find the common denominator of -149\/18 and 6\/(-8) - 75\/q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 11*p + 8658 = -11076. What is the greatest common divisor of p and 234?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -43 + 71. Let w be -2 + (-3)\/3 - -2. Let b(o) = -5*o + 7. Let y(f) = f - 1. Let l(j) = w*b(j) - 4*y(j). Calculate l(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - -36. Let s = v + -21. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1937452 >= -1937433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-8)\/(-6 - 26)))\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 47, -24, 1\/233?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2 - 320*v - 1200 = 0. What is v?\nAnswer: -60, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = c + 2*l, c - l = 4*l + 9. Let r(d) = 5*d**2 - c*d**2 + 5 + d**2 - 7*d. Is r(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 15 = -3*w, -a + 28 = -w. Let t = 43 + 0. Let u = t - a. Round u to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1529571411 + -1529571587.0000078. Let u = -176 - i. Round u to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3557 + 6160. What are the prime factors of v?\nAnswer: 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1083237 to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -221 - -300. Let l = 173 - 145. Calculate the remainder when b is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1585728 by 396432.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.097 + 27.103. Let h = 30 - i. Let l = h + 0.2. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - 0. Let z = 9 + l. Suppose z*d + 5*w = d + 35, w = -d + 9. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2015\/(-25) + (12\/105)\/(35 - (-8645)\/(-245)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 3*h**2 - 2*h - 2. Let t be v(4). Let k be 8\/t - 22\/(-12)*2. Let x(q) = 98*q + 91*q - 188*q - k. Give x(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a + 25 = 0. Suppose 0 = -7*n + 8 - 1. Solve v + r = -4*v - 14, 2*v + n = -a*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 5:19 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867 + 11911 = 308*o - 13288 for o.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -r - 8, 4*r + 8 = -0*c - 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bujbbjjjbu. What is prob of picking 2 j and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 5*y + 7, 4*y + 2 = j - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.00446 - 0.20446. Sort m, -0.642, 1 in decreasing order.\nAnswer: 1, m, -0.642","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*a - 2*a + 5*t, -4*t + 8 = 4*a. Let o = 5 - a. Solve -3*x = y - 14, o*x - 4*y = x - 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*(h\/(h\/(h**(-25)\/h)))\/h*h*h)\/h))**(2\/53))**(-48) assuming h is positive.\nAnswer: h**(-2496\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/4842 and 74\/9.\nAnswer: 4842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5435463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t - 12. Let z be n(6). What is the greatest common divisor of 60 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 11 - 8 = 4*g + 12 - 4, 1 = -g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 213, 316, 419, 522, 625?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 845, 3391, 7637, 13583, 21229, 30575?\nAnswer: 41621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1103, 2203, 3303, 4403?\nAnswer: 5503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-1357)\/(-20355)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7485 not equal to -7485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61966028?\nAnswer: 2, 2843, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 128621920703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - 12 - (-80)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 + 332*y**2 + 990*y.\nAnswer: 2*y*(y + 3)*(y + 495)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -405*z**4 + 1810*z**3 - 730*z**2 + 70*z + 20. Let f(b) = b**3 + b**2 - b + 2. Let u(m) = 10*f(m) - k(m). Factor u(t).\nAnswer: 5*t*(t - 4)*(9*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5344 and 18.\nAnswer: 48096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3870*s - 121 = 7748*s - 3867*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n + 0*n - 3*n + 2*n + 0*n + (-2 + 0 + 4)*(-6*n + n + 3*n) - n + 2 - 2 + n - 2*n - n - n - 2 + 2 - 2*n - 3*n + 3*n)*(-n + n - 17*n)*(2 + 2 - 2).\nAnswer: 306*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g - 4. Suppose -9 = -3*q - 0. Calculate f(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 55*o**4\/12 + o**3\/3 - 13*o**2\/2 + 3509*o. Let z(q) = -q. Give z(i(s)).\nAnswer: -55*s**2 - 2*s + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*x - 7098 = 308*x + 145*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 - -85. Let o(r) = 10*r - 58. What are the prime factors of o(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 3*n**2 + 2*n. Let w be p(-1). Let d(s) be the second derivative of 0 + w*s + 1\/4*s**4 + 0*s**2 + 0*s**3. Let k(t) = t**2. Determine d(k(b)).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023283103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c95 (base 16) in base 2?\nAnswer: 1001110010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721749 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, -332, -350, -384, -440, -524, -642, -800?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2959137 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5416192 is divided by 1354047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**2 - 4*f**2 - 8*f**2 + 2 + f. What is g(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 38 + 32)*(21*b**2 + 11*b**2 - 9*b**2)*(3 - 2*b**3 - 3).\nAnswer: 1656*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -11. Let r(h) = 3*h**2 - 8*h - 3. Let g(p) = 6*p**2 - 17*p - 7. Let n(k) = d*g(k) - 9*r(k). Factor n(l).\nAnswer: -(l - 1)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -135 and -1039869.734.\nAnswer: -1040004.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03137 * 0.01.\nAnswer: -0.0003137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -22391 (c) 0.5 (d) 3\/25 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 51*n**3 - 23*n**3.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 15*q**3 + 10*q**2 - 3*q + 6. Let l(a) = -30*a**3 - 21*a**2 + 7*a - 14. Give -3*l(f) - 7*y(f).\nAnswer: -15*f**3 - 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 130*z**3\/3 - 63*z + 104. Find the first derivative of w(i) wrt i.\nAnswer: 260*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 6*f. Let u be x(-7). Suppose -r = -0*r - 7. What is the greatest common factor of r and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17369172967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 170962701 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4*d = -1 + 5, 2*j + 5*d + 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6, -l + q = 6*q - 97. Let a = 83 - l. Let d = 172 + -16855\/98. Do d and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 - 200. Suppose 222 - 44 = 2*r. Let h = r + m. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {r: 9, s: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2448 or -2166.8?\nAnswer: -2166.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1759816*1.\nAnswer: -1759816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w - 11*w**3 + 2*w + 6*w**3 wrt w?\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 22*r**2 - 5*r - 3. Let v be q(-1). Calculate the highest common divisor of v and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/3 + 448*v**3\/3 + 13754*v**2\/3 - 460600*v\/3 + 148800 = 0.\nAnswer: -45, 1, 20, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164306 is divided by 225.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13824.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 40 = -2*x. Let u be 27\/15 - 2\/1. Let l be 9\/(-2) + 897\/598. Which is the third smallest value? (a) u (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-16)*s*s)\/(s\/(s*s**(-2\/5)\/s*s*s)))\/(s*s**(-30)\/s*(s**(-8\/13)\/s)\/s) assuming s is positive.\nAnswer: s**(1249\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, 355, 1, -5, -2, -33 in decreasing order.\nAnswer: 355, 117, 1, -2, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -196443188 or -196443185?\nAnswer: -196443185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2327876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 240910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 7:14 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*4*1. Let j = 4 + d. Which is the smallest value? (a) 0.1 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95625 + 243598. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4681 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (10 - (-9 + 325326 + -5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019689 to six decimal places.\nAnswer: -0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*i = 5*i - 886 + 2368 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 11 - 1 = 0. Suppose y + 1 - d = 0. Suppose 3*r + y = 17. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**3*v)\/v*v)\/v)\/v*(v\/(v\/((v*v**0*v*v)\/v*v)*v))\/v*v*v**(2\/7)*v**(-4))**31 assuming v is positive.\nAnswer: v**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/5 + 35\/25 + 1. Solve -2 = -2*m + b*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**3 + 4*z**2 - 4*z + 3. Let g(l) = l**3 - 2*l. Let p(s) = -f(s) + 3*g(s). Let i(n) = -2 + n**3 + 5 + 8*n - 5*n + 5*n**2. What is 4*i(q) + 5*p(q)?\nAnswer: -q**3 + 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -11*h**4\/12 - 5*h**3\/3 - 11*h**2. Let m be a(-4). Let s be -4 + -3*m\/(-63). What is the nearest to s in 3, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/(-35))\/((-2)\/5))\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.060332 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 20. Let l be n(-8). Suppose 3 = l*y - 3*y. Solve 7*u = y*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/4)*s**(-9))**30 assuming s is positive.\nAnswer: s**(-495\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 26*h**2 + 305*h - 64. What is the units digit of a(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5304 - 0.4696. What is the second smallest value in h, -1.588, 1?\nAnswer: -1.588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3843\/2740 + 13\/274. Calculate the common denominator of 111\/14 and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8015584 and 34066232?\nAnswer: 136264928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from tlfuifcl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -437?\nAnswer: -393.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1216187936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -0.265 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146118927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 1. Let d = m - 0. Let u be 385\/(-140) - (-2)\/(-8). What is the third smallest value in d, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - y**2 - 4*y + 7. Is n(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.9723 meters to kilometers.\nAnswer: 0.0429723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 + 14494*z - 116016 = 0.\nAnswer: -14502, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -125, -1022, -3445, -8156, -15917?\n\"Answer: -127*f**3 - f**2 - 5*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -11*y + y**2 + 5 + y**2 + 3*y. Suppose -7*o + 4*o - 28 = -4*v, -2*o + 4 = 3*v. Calculate the remainder when 6 is divided by m(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5*t**2 + 528*d**3*t**3 + 3*d**2*t**3 + 41*d**2*t + 3*d wrt d?\nAnswer: 120*d**2*t**2 + 3168*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/27 and 7\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 327172 at most as big as 327204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5943227 is divided by 742902.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -723 and -6.88?\nAnswer: 4974.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17138 bigger than 17139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*w**2 + 15*w**2 + 21*w**2 + 20*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r + 0*r + 6*r + (0 + 1 - 3)*(-27 + 27 - 19*r).\nAnswer: 40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -5*r**3\/6 + 3*r. Let k(w) = 5*w. What is b(k(n))?\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 9.02. Let k = m - -42.02. Let o = -59 + k. Is o less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 956 = -108. Is 10\/4*g\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -1798 + 49. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a - 9. Suppose -7*j = -2*o - 6*j - 5, -3*j = -5*o - 10. Give v(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -6*n + 4*z + 9, 3*n - 3*z - 45 = 0. Let l = -25 - -36. Let f = n - l. Solve 4*m - 2 = -f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4143143 (base 6) to base 12.\nAnswer: -97ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2384492 and 148.\nAnswer: 88226204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - -4 - 368277\/72618.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/4 - -1)*-1. Let j be (-4)\/m*(-3)\/(-2). Calculate the common denominator of 29\/18 and 663\/(-90) + j\/(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1.3 (b) -2 (c) -5 (d) 74.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 6:54 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/sqrt(4))\/sqrt(3)*6 + 0)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 120.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*y**5\/8 - 3948*y**4 + 746001*y**3\/8 + 17196*y**2 - 93282*y - 13248 = 0.\nAnswer: -1, -12\/85, 1, 32, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 71*y**2 + 69*y + 82. Give l(70).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**4\/8 - n**2. Let x(f) = 7*f. Let s(i) = -4*i. Suppose -6*j - 25 = -j. Let p(q) = j*s(q) - 3*x(q). Calculate d(p(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19760229199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j + 4. Let r(d) = -d + 1. Give 3*f(s) - 12*r(s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 7 = -42*v + 287. Let g(r) = r**2 + 11*r + 13. Let o be 2\/9 - 83\/9. Let f be g(o). Sort f, v, -33.\nAnswer: -33, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27312)\/1734312)\/(-4 - 0 - 0)*4?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-312 - -282) + 9 + (0 - 7).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9036 + 329. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(-1)\/(-4)*4\/(-24).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - u - 2. Let d be z(2). Suppose d*q - 20 = -q. Let n be (2\/1 - -1) + -1. Solve q*r = m + 3, m + 1 = -3*r - n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (6\/3)\/(-2). Which is the nearest to 3? (a) -2\/13 (b) v (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-7 - (10 + -13))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = 3*q - 383. Suppose -19 = q*j - 43. Solve 3*p + p = j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-30)*(-7)\/(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -12*d**3 - 46383848*d**2 + 15461284*d = 0.\nAnswer: -3865321, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -493, -868, -1257, -1666, -2101, -2568?\n\"Answer: -d**3 - d**2 - 365*d - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (37634\/17949)\/((-8)\/62). Let v = i - -16\/193. Calculate the common denominator of 91\/10 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4790 = -164*j - 1182 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f + 9 = 2*v, -f + 21 = 4*v. Let c(o) = -21*o**2 + o - 1. Let p be c(f). Let r = p + 6. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34281215383023 and -5.\nAnswer: 34281215383018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 e when four letters picked without replacement from jeejjjeejjje?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9648350902 rounded to the nearest one hundred thousand?\nAnswer: 9648400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 7687 + 323 = 0. Let c = 605255\/186 + -43500\/31. Let v = c + x. Calculate the common denominator of v and -10\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times -40.509\nAnswer: -60.7635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 3*k - 7 + 1)*(3*k - 3*k - 2*k)*(-3 + 8 + 3).\nAnswer: 16*k**2 + 96*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 1:21 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/3906 and -11\/1221276.\nAnswer: 3663828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/3*c**4 + 1\/3*c**2 + 1\/3*c - 1\/3*c**3.\nAnswer: -c*(c - 1)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -594371.\nAnswer: 2971855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81692 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -58*d**3 + 3*d**2 - 10*d - 14. Let w be q(-4). What is the first derivative of -3827 + 19*n**3 + w - 76*n**3 wrt n?\nAnswer: -171*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 283 - 112. What is the highest common factor of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 143\/(-455) - 18\/63. What is the biggest value in 2\/11, -1\/79, x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c - c**4 + c**3 - c**4 - 2*c to the form j*c**3 + k*c**2 + n + z*c**4 + x*c and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:33 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*sqrt(98)*5*-3*6)**2*-3 + -1.\nAnswer: -21432603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*a + 3*y - 1, 0 = -4*a - 3*y - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 2*s**2 - 2*s - 1. Let i = 236 - 239. What is k(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**3 - i - 1. Suppose 0*t + 2 = -2*t. Let d(a) = -35*a - 96. Calculate the remainder when d(-3) is divided by w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1527319 and 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.1, -0.1, -31?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/6*26752\/1216.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 720 divided by -48\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.483236cm?\nAnswer: 64832.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19718.\nAnswer: 2, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10348 by -2.\nAnswer: 5174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1445138.\nAnswer: 2, 199, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 14. Suppose 0 = -z*w + w. Suppose w = -2*j + 3*j - 2. Solve -3*x - j*g = 1, 5*x = 9*x - 5*g - 37 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1544 + -29?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4 - q**3 - 6*q - q**2 + 2*q + 5*q**2. Let a = 1408 - 1401. Let z(h) = -2*h**3 + 7*h**2 - 7*h + 7. Determine a*j(s) - 4*z(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-200)\/(-240) + (-38)\/60. Let k = 115 + -120. Which is the closest to x? (a) 1 (b) k (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1886 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62577587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2979a (base 16) to base 8\nAnswer: -513632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/5 of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*p + 3*s + 3, -5*s = -p + 5. Suppose p = 3*j + 2*j - 135. What is the remainder when j is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5950 is divided by 586?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 9*m = -25, -5*z - 527*m + 524*m - 25 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 9:09 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/21)\/b)**(7\/10)\/(b**(-4)\/b**0) assuming b is positive.\nAnswer: b**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253714 (base 8) in base 4?\nAnswer: 1111133030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05868 + 0.0974. Let u = -0.155 + o. Round u to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 102, 129, 50, -141, -450, -883, -1446?\n\"Answer: -p**3 - 47*p**2 + 175*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 11*k**2 + 32*k - 22. Let i be z(-15). What is the second derivative of 377*f**3 + 9*f - i*f**3 + 9*f wrt f?\nAnswer: -126*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 1\/3, -128, -9, 4, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*b + 11 = -4, 0 = -b + 5. Suppose -2*j - 45 = -f*j. What is the derivative of 15*u + 2*u**2 - j*u + 4 - 1 wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771 is divided by 57?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 752*f = 754*f - 10, 3*x - 8*f = -46 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*t**2 - 14*t + 32.\nAnswer: -2*(t - 1)*(9*t + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 485520199?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*t - 161 + 53. Suppose -7*i + 6*i + 2 = 0. What is the least common multiple of t and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**3 + 219*v**2 + 48*v - 149. Let w be i(44). Calculate the highest common divisor of w and 3969.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 8:43 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.692172 kilograms?\nAnswer: 0.000692172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-154)\/99) + 85\/9. Solve r + 16 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h. Let o(c) be the first derivative of -2*c**3\/3 + 3. Calculate o(l(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5830 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 59*x**2 - 10*x + 22. What is the tens digit of w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -784 + 1?\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.35 + -8.65. Which is the second biggest value? (a) s (b) -5 (c) 3 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:07 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.48727 millennia in decades?\nAnswer: 8148.727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40603 (base 8) in base 4?\nAnswer: 10012003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 23*a - 21. List the prime factors of o(5).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3251380*j - 1390751 with respect to j.\nAnswer: 3251380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**9\/4536 + f**8\/1260 - f**7\/1260 - 2*f**3\/3 - 3*f. Let c(a) be the second derivative of t(a). Factor c(j).\nAnswer: -2*j**3*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**8\/336 - g**7\/210 + g**6\/60 + 8*g**2. Factor x(m).\nAnswer: -m**3*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91351 + 92224 = -32*q - 3*d, -2*q - 4*d - 66 = 0 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*i**4 - 250*i**4 + 124*i**4 + 2*i + 10*i - 3*i**2 + 2*i**3 + 13*i + 2 to z*i**2 + q*i**3 + d + j*i + v*i**4 and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.528725 and -44.\nAnswer: -42.471275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -12. Suppose v - 26 = -b*v - 3*k, -3*k + 22 = 4*v. Let d be 1 - v\/((-8)\/30). Calculate the highest common divisor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*s + p + 4*p, -32 = -s - 4*p. Let y(o) = 10*o**2 - 12*o + 12. Let a(j) = j**2 - j + 1. Give s*a(i) - y(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -164, -163?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17439 (base 11) to base 6\nAnswer: -305204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30cc6 + -11?\nAnswer: -30cd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2\/(-15) - (-22 + 6757662\/(-90))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729288*m - 3066 = -729215*m for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*n**6 + 6*n**3 + 5*n**2 + 0*n**2 + 0*n**6 + 8*n**6 wrt n.\nAnswer: 360*n**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 19\/4 (b) -0.2 (c) 30 (d) 2 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 + 11*k + 11. Let c(n) = -n**2 + 5*n + 5. Let d(v) = -13*c(v) + 6*m(v). Let b be (0 + 1)\/((-4)\/(-8) + -1). Give d(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-7)\/(-21)*(29 + 0)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*(0 + (sqrt(19) - sqrt(684))**2).\nAnswer: -5700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*b = 24 + 1, 2*j + 3*b = -5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108174 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -10*y**3 - 3*y**2 + 2. Let h = -27 + 51. What is the remainder when j(-2) is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 240.\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20904\/9648)\/(26\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b - 6 = -17*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 - 42*n**3 + 93*n**2 - 48*n.\nAnswer: -3*n*(n - 1)**2*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 u, and 1 t when three letters picked without replacement from {b: 1, g: 4, t: 3, u: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 3*u**2 + u**2)*(308 + 453 + 22 + 34).\nAnswer: 1634*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:38 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26\/87 + 53\/696. Suppose -18 + 88 = 2*y. Suppose -3*w - d + 0 + 10 = 0, 3*d = 4*w - y. What is the closest to -0.2 in w, -3\/4, m?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33324 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 86794.5*2.1\nAnswer: 182268.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -22, 69.\nAnswer: -22, -1, 5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyycpycuuuccuyu. What is prob of picking 2 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v**2 - 7*v - 11*v**2 + 3*v**2)*(-3 + 3 + 3*v**3).\nAnswer: 12*v**5 - 21*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -16 + 0*f - 5\/2*f**4 + 0*f**2 - f**5 - 5\/3*f**3. Let g(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266579 is divided by 20227?\nAnswer: 3628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 32*p**2 + 24*p - 146. List the prime factors of t(-14).\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -712642, -2850075, -6412470, -11399833, -17812170, -25649487, -34911790, -45599085?\nAnswer: -57711378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-100)*-10*1\/(-9).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138.65km to millimeters.\nAnswer: 138650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, 78, 117?\n\"Answer: 39*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -2*h - 2*o + 316, 0 = -2*h - o + 523. Calculate the remainder when h is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62942992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1313350 or -10506795\/8?\nAnswer: -10506795\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -446?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-72)\/64)\/((-12)\/64). Let n be (2\/r)\/(3\/18). Solve 0 = n*a - 11 + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/4284 and -23\/3.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*p**2 - 65*p**3 - 92*p**3 + 159*p**3 + p**2 - p**2 + 2*p**3 - 2*p**3 + 3*p**3 + p**3 + (p**2 - p**2 + p**2)*(-p + 5*p - 2*p))*(-3 + 5 + 0).\nAnswer: 16*p**3 + 154*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 l when four letters picked without replacement from {j: 2, p: 4, l: 2, x: 6, k: 3}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 88, 1000?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001292251 rounded to 5 dps?\nAnswer: 0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (8 - (10 + 1 + -4 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2299.0483 to the nearest integer.\nAnswer: -2299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 + -179. Let p = c + 80.2. Let v = 60 - 178\/3. What is the nearest to p in v, -3, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8362899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 72?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3))**20)**(5\/8) assuming x is positive.\nAnswer: x**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/24 - (-5 - (-66)\/(-8) - 10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(-1 + (3*(sqrt(637) + -1*sqrt(637))*-1)**2)*-3*-3.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (4 - 2) + 142. Round b to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-384)\/(-3712) - 615\/(-2465).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p + 2*p + (0 + 0 + 1)*(2*p - p - 2*p))*((p**3 - 5*p**3 + 2*p**3)*(2*p + 0*p - p) - 2*p**4 + 0*p**4 + 3*p**4 + 12*p**4 - 531*p**4 + 109*p**4).\nAnswer: 822*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*p = 170 + 201, 0 = -4*j - 3*p - 341. Let h = -53 - j. Suppose f = -5*f + h. Solve -f*l + 8 = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26980.05 micrograms?\nAnswer: 0.02698005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 225? (a) 0.04 (b) 2 (c) -0.8 (d) 3.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 87707550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -266, -1\/3, 674, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*3)\/sqrt(6) - (sqrt(72)*-2 - (sqrt(2) + ((-1*sqrt(20))\/sqrt(10) - sqrt(2)))).\nAnswer: 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 3. Let q be t(5). Suppose 2*v - q = 1. Suppose -141*z = 15 - 1143. Calculate the least common multiple of z and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-6))\/(10\/8) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o**2. Let m(l) = -2*l - 4. Let w be m(-3). Suppose 7*v + 37 + 152 = 0. Let c(b) = b**2. Determine v*c(d) + w*a(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u - 38. Let y(r) = -2*r + 13. Give -3*h(s) - 10*y(s).\nAnswer: 2*s - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**4\/12 - 5*c**3\/6 - c**2 + 12*c. Let g be a(-4). Solve 4 = -p + g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76686*m**3 + 24*m**2 - 445*m?\nAnswer: 460116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98142656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15119 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 7801, 5, -5, 3, 0 in increasing order.\nAnswer: -5, 0, 1, 2, 3, 5, 7801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*d**3 - 1 + 7*d**3 + 2*d**2 + 6*d**3 - d**4 - 3*d**3 as h*d**4 + c*d**3 + o*d**2 + v*d + p and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crf when three letters picked without replacement from xxxfffrcxfxecfx.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.13 + -1.13. Which is the closest to 0.2? (a) m (b) -2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/5)*u**(3\/4))\/(u**(1\/6)\/u**(2\/5)))\/(u**(-2\/5)\/u**(-2\/5))**(-6\/17) assuming u is positive.\nAnswer: u**(11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. What is w(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -100101101000110111010011 (base 2) to base 16\nAnswer: -968dd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*a - 6 - 31 = 0, l + 2*a + 3 = 0. Let o(y) = 3*y - 3*y + l*y + 1. Let r(w) = 4*w + 1. Let s be ((-4)\/14)\/(17\/357). Calculate s*r(q) + 5*o(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -4, -59, -3.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Let v = x - 0. Suppose -c - 9 = -v*c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -67757*t + 10. Let u(r) = -3*r. What is u(k(y))?\nAnswer: 203271*y - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, -2, 4, 1 in increasing order.\nAnswer: -2, 1, 4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 406, 2 in descending order.\nAnswer: 406, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 39584 and 0.236.\nAnswer: 39584.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5847974?\nAnswer: 2, 11, 227, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15*y**3 + 456*y**2 - 18717*y + 35562. Let v(r) = -2*r**3 - 2*r**2 - r - 2. Let s(t) = n(t) - 6*v(t). Factor s(b).\nAnswer: -3*(b - 77)**2*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654689073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 1\/4*h**3 - 3\/16*h**4 - 3\/16*h**2 - 18 - 1\/80*h**6 + 3\/40*h**5 - 21*h. Let k(r) be the first derivative of l(r). Factor k(b).\nAnswer: -3*(b - 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 239330515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.05568 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5 - 74 = 0. Differentiate 25 - 10*d**4 + r*d - 2 + 7*d**4 wrt d.\nAnswer: -12*d**3 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (216\/(-396) + (-50)\/(-11))\/4. Let j = 27313\/8616405 - -1\/13965. Is j at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -7*p**5\/60 + 2*p**2. Let g(h) be the third derivative of 0*h + 0*h**3 - 1\/60*h**5 + 3*h**2 + 0*h**4 + 0. What is g(l(d))?\nAnswer: -49*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 411.92946 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - ((7 - 1) + (128 - 128)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 418, 1711, 3864, 6877, 10750?\nAnswer: 15483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -5*k**3\/3 - 5*k**2 - 5. Find the second derivative of d(l) wrt l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5286 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-67067)\/(-4774))\/(6\/16).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 1104590.\nAnswer: -9\/552295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -19023457 less than or equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20567 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877 is divided by 109.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*l - 141*l - 3 = -59. Let w = 3.1 + -3. What is the nearest to w in -3, l, -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 29 - 0*1\/1. Suppose -4*k - 9 = -y. Suppose -k*r = -2*r - 36. Calculate the highest common factor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g + 74*g + 1 - 1 - g**2 to the form z + b*g + t*g**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 48010*t**2 - 288096006*t + 288144018.\nAnswer: -2*(t - 1)*(t + 12003)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.0496, 8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 20 - 25 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**6\/15 + 23*b**4\/6 + 583*b**3\/3 - 1502*b. What is the second derivative of y(o) wrt o?\nAnswer: -24*o**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 36224.11 millimeters?\nAnswer: 0.03622411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 2. Let m = -8 + 12. Let c be (-33)\/6 + m\/8. What is o(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 4*x**3 - 1 - 3*x**4 - 2*x**3 + 6*x**3 as o*x**3 + y*x + b*x**2 + v*x**4 + d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -22. Suppose -15*b + 11*b + 28 = -2*d, -2*d + 17 = b. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3183490 and -15.\nAnswer: -47752350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:51 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -7004a?\nAnswer: 70041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (4*-1*sqrt(117))\/((sqrt(9) + sqrt(36))*3))**2*1.\nAnswer: 1040\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - p**2 + 3*p**2 - 2 - 18 in the form z*p + v*p**2 + q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9436 is divided by 2358.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c**2 - 85*c + 150.\nAnswer: 5*(c - 6)*(2*c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 9 in increasing order.\nAnswer: -8, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 2*n**5\/55 - 5*n**4\/22 + 16*n**3\/33 - 4*n**2\/11 - 2. Factor h(b).\nAnswer: 2*b*(b - 2)**2*(b - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/18 + (-74)\/12. Let w be (-4)\/q*27\/6. Solve 0 = w*t + 2*l + 5, 5*t + 1 = -2*l - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*h**2*o**4 + 2*h**2*o**3 + 2*h**2*o + 9*h**2 - 2*h*o wrt o.\nAnswer: -216*h**2*o**2 + 12*h**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-8)\/(-3)))\/(-40*35\/(-16800))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -38. Let y = -5 - i. Suppose 5 = 3*s - y. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17414460, 69657769, 156729960, 278631039, 435361012, 626919885?\nAnswer: 853307664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3864c + -cc?\nAnswer: 38550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m - 5. Let c(d) = 7*d + 4. Let g(v) = 6*c(v) + 5*i(v). Let a = 114 + -112. Let b(q) = -8*q + 4. Calculate a*b(y) + 9*g(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((7 - 11)\/12)\/(2\/(-654)).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 252477, -4, -2, -16 in ascending order.\nAnswer: -16, -4, -2, 252477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*(-408)\/153*100\/24?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2905 in 1.963, 1, -1, 0.2?\nAnswer: 1.963","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-12))\/((-1)\/(-2)). Let s be (-594)\/(-144) + (o - 75\/24). Solve 3*r + 2*r - 5 = -5*z, 2*z = r - s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135390876 divided by 3.\nAnswer: -45130292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(2057) + (1 + sqrt(2057))**2 + -3 - (sqrt(2057) - ((sqrt(2057) + 3)**2*6 - sqrt(2057)))) + (-1*(sqrt(2057) + 1 + 5) + -2)**2).\nAnswer: -33144 - 1166*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1817 and -51\/22747.\nAnswer: 1797013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -585 by 1.\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 12. Let h be (-4)\/b + (-1192)\/230. Let l = h + 2099\/184. Calculate the common denominator of l and 139\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-65))\/(1\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 2:30 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -507, -32, 30 in increasing order.\nAnswer: -507, -32, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41573853 to the power of 1\/2, to the nearest integer?\nAnswer: 6448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -26637 (base 9) to base 7\nAnswer: -103345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(168\/112)*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33557 and 39675?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58494339.\nAnswer: 3, 2166457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 436082744?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17352483.\nAnswer: 3, 5784161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -82, -86, -92, -100, -110, -122, -136?\n\"Answer: -y**2 - y - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 302 and 1756406179?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 47.05991 millennia?\nAnswer: 470.5991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/6570)\/((-214)\/(-36) - 6).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25 - -10)*(0 + (-4)\/6). Suppose -3*z + v = w, -2*z = -9 + 5. Calculate the remainder when (-4)\/(-6) + 13\/3 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-2 - -10 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4479110 and 29932?\nAnswer: 62707540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1)*i*i)**(-2\/9)\/(i**(-4)*i*i*i**(-1\/4)))\/((i**(1\/4))**(21\/2))**(1\/33) assuming i is positive.\nAnswer: i**(397\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-5))\/(9\/(225\/(-20))). Which is the biggest value? (a) 5 (b) -1\/108 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 408 and 392.\nAnswer: 19992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 11 - 7 + 50 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**8\/42 + d**5\/12 + 6*d**2 - 9*d. Let j(v) be the first derivative of q(v). Find the third derivative of j(n) wrt n.\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*m - 121 = 0, 0 = -u - 4*u - 3*m + 139. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6 - 3 - 3 + 13*a. Let u(i) be the second derivative of i**4\/12 + 37*i. Give u(k(z)).\nAnswer: 169*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.21 and -0.276.\nAnswer: -0.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/15 - 35762*z**4\/3 + 2145524*z**3\/15 - 8224276*z**2\/15 + 2145442*z\/3 - 893930\/3 = 0. Calculate z.\nAnswer: 1, 5, 89393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 827 + -1398. Let k = l - -1011. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1946.\nAnswer: -3\/1946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - k - 4*k = 10, -3*k = -3. Let o be (-26)\/24 + (-2)\/w. Let f(i) = 3*i + 3. Let g be f(-2). Is g smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - 3*sqrt(175)) + 0)**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.047 + 0.353. Which is the nearest to -1? (a) -1 (b) -0.3 (c) k (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3851 (base 10) in base 11?\nAnswer: -2991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/350*1*-4. Which is the fourth smallest value? (a) p (b) 2\/11 (c) -2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394 divided by -1.\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 203564000 to the nearest 1000000.\nAnswer: 204000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 430, 417, 394, 361, 318, 265, 202?\n\"Answer: -5*m**2 + 2*m + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**8\/1512 + 4*u**6\/135 + 8*u**5\/135 - 4*u**4\/9 - 64*u**3\/27 + 20*u**2 - 2. Determine n, given that j(n) = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.38804 + 0.04044. Round f to 2 dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3962356 * -6\nAnswer: -23774136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5964877, 5964725, 5964573?\n\"Answer: -152*t + 5965029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 718.904 nanometers to centimeters.\nAnswer: 0.0000718904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 32 = 16. Suppose -2*a - 1778 = -w, 5*a + i*w = -0*w - 4458. What is a rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6746 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhyy when four letters picked without replacement from {h: 4, n: 4, y: 4, v: 3}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 32. Is 10 a factor of 3\/w - (-24144)\/96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.623 and -21.36?\nAnswer: 13.30728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 16 - 36. Suppose -2*u = 2*a - 7*u, g*a = -3*u. Suppose -3*s = a, 0 = -h + 2*s - 4*s + 27. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(1 - (3 + -1)). Let h be -3 + (2 - j) - -3. Suppose 0 = -h*s + 5 - 1. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 12:16 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6986*g + 30 = -6981*g. Find the common denominator of g and -83\/297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*(l**(-1\/10)\/l*l*l)\/l*l**(2\/31))**29)**(-2))**(3\/52) assuming l is positive.\nAnswer: l**(-52983\/8060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.17 + -142.17. Let t = v - -140. Which is smaller: 16 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*(205\/(-4))\/(-5). Suppose -3*v + g = 19. Let j(x) = -2*x - v + 21 + 0*x. Let p(h) = -3*h. What is j(p(f))?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**2 + 8*b - 6. Let v be q(5). Let p = v + -5. Is 47 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13177342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 1:42 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1571*t + 9413. Calculate i(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5608524 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**2 + 11*u - 9. What is a(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgggghrhgere. What is prob of sequence ggr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (58\/(-1))\/((-130)\/60 - -2). Suppose 79*l - 91*l + v = 0. Calculate the highest common factor of 783 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22417 + 0.2.\nAnswer: 22417.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70970 (base 11) to base 5.\nAnswer: 11304103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -5. Which is smaller: 1\/8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-148)\/(-5) + 22\/55. Let q = d + -152\/5. Which is the second biggest value? (a) 0.01 (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339620 divided by 652.\nAnswer: 84905\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2313832, -2313820, -2313794, -2313748, -2313676, -2313572?\n\"Answer: c**3 + c**2 + 2*c - 2313836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 354 + -224. Calculate the greatest common factor of 26 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98370 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4 + 310*a**3 + 10234*a**2 + 82010*a - 207468 = 0.\nAnswer: -113, -27, -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4283401275 less than 0.006471?\nAnswer: -0.4218691275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 25?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 5699*c - 220796. Determine a(-39).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -28. Let r = o - -7. Sort 1\/4, 6, r.\nAnswer: 1\/4, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-12))\/5*3*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -547, -544, -541?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2446680 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 8*j - 4*j. What is the greatest common divisor of j and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134353 + 0.4.\nAnswer: -134352.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**3 + 8*i**2 + 35*i + 8. Let c(b) = 2*b**3 - 5*b**2 - 23*b - 5. Calculate 8*c(o) + 5*l(o).\nAnswer: o**3 - 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*i + 2676 - 960 = -136*i for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + -1116406?\nAnswer: -1116416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 10642.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1133613052, -2267226103, -3400839154, -4534452205?\nAnswer: -5668065256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 136 = 29. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*c**3*g - 101*c**2*g**3 - 15*c*g + 87*g**3 - 3*g + 112 wrt c?\nAnswer: -60*c**2*g - 202*c*g**3 - 15*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561 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: What is the remainder when 4539 is divided by 1069?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/(w\/(w**(1\/5)\/w)))*w**(-7\/5))\/((w\/(w*w\/w**(-34)))\/((w**1\/w)\/w)) assuming w is positive.\nAnswer: w**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 273.6 + -274. Suppose 4*h = 74 - 22. Which is the second smallest value? (a) -0.5 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -834*q**6 + 3*q**4 + 113*q**2 + 2*q - 1.\nAnswer: -100080*q**3 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 - 48. Let b = 48 - x. What is the least common multiple of b and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(2\/11))*(l**(11\/4)\/l)\/l)\/(l*l**(2\/27)*l\/l**(-1)))**(-5\/8) assuming l is positive.\nAnswer: l**(12725\/9504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z + 363580 + 1985810 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/120 + 10*m**3 - 98*m**2. Let v(r) be the first derivative of b(r). Let n(g) = -71*g**2 - 2. Calculate v(n(d)).\nAnswer: -71*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Let l = 1.8 + -2. Sort h, l, -1\/7 in decreasing order.\nAnswer: h, -1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 a when four letters picked without replacement from {y: 5, f: 1, a: 3, q: 7}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9017 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 224*p - 219*p - 2*l, 30 = -4*p + 3*l for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 0, -1058 in ascending order.\nAnswer: -1058, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -12*i**3 + 393*i**2 + 99*i = 0?\nAnswer: -1\/4, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**2 + 2*p - 1. Let y be (2 - -286)\/4 + 0 + -2. Let n = y + -68. What is g(n)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*i**2 + 103*i**2 - 217*i**2 + 66 + 3*i as z*i**2 + v*i + w and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -4, -41, -5.\nAnswer: -41, -5, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*a**2 - 680*a**2 - 251*a**2.\nAnswer: -973*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/663428 and 79\/10.\nAnswer: 3317140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 8*a**2 + a + 3. Let v = -9 - -41. Suppose 3*k - 7*k - v = 0. Calculate g(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6210489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 21. Calculate the greatest common factor of a and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21211102011120 (base 3) to base 9\nAnswer: 7742146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -1 + (214 - 99) + -208.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28117911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5886 - 1259. What are the prime factors of k?\nAnswer: 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 3*sqrt(52) + (-3*sqrt(13))**2*-5 - 4*((sqrt(1573)*2)**2 - (1 + sqrt(325))).\nAnswer: -25749 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 120102000112122 (base 3) to base 10\nAnswer: 8188523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.69 - -36.69. Which is the third biggest value? (a) 408 (b) p (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 14*b**2 + 44*b + 10. Let k(n) = -n**3 - 7*n**2 + 21*n + 5. Let t(z) = 5*k(z) - 2*m(z). List the prime factors of t(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aab when three letters picked without replacement from {p: 2, a: 4, b: 6, h: 4, j: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 532776058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/2 + 3211*h**2\/2 - 2604707*h\/2 + 43356953\/2 = 0 for h.\nAnswer: 17, 1597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -143*w - 134*w - 136*w + 549*w - 137*w. Let o(z) = -2*z**2 - 20. Calculate o(x(i)).\nAnswer: -2*i**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 487272480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 29*o + 65. What is h(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -82300 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3 - -1 - 0) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u + 13*u = -30 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*s**2 - 49*s**2 - 76*s**2 - 2 - 10*s**2.\nAnswer: -100*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daaodg. What is prob of picking 1 a, 1 o, and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 843 take away -11?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11445*a**2*o**2 + a*o**2 + 71*a*p - 13*o**2*p + 148*o**2 - 52*o*p + 8*p wrt a?\nAnswer: 22890*a*o**2 + o**2 + 71*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - k = 0, -537*i + 2*k = -533*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**4 + 111*l**3 + 1480*l**2 - 38408 wrt l?\nAnswer: 4*l**3 + 333*l**2 + 2960*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8066?\nAnswer: 2, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-210)\/(-18) - 5) + -6 + (-32)\/(-24). Solve o*s + 6 = -3*q, 0 = -12*q + 8*q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 40*s**3 - 95*s**2 + 50*s.\nAnswer: 5*s*(s - 1)**2*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 6*f**2 - 3. Calculate w(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 523167.03 milliseconds in hours?\nAnswer: 0.145324175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**3\/3 - 3*z**2 - 4*z + 4. Let m be q(-5). Let j be 4\/2 + m\/1. Sort -2, j, -3 in decreasing order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y**2 - 3 + 2*y**2 + 6)*(3*y**2 - 4*y**2 + 2*y**2) to g*y**4 + t + h*y**2 + q*y + b*y**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.8617359 rounded to two dps?\nAnswer: -46.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 200.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7929042*x**3 - 2911024 wrt x?\nAnswer: 23787126*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-3))\/((-42)\/(-315)). Let l = 29 - j. Calculate the lowest common multiple of 1 - -2 - (3 + -5) and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l**2 + 606*l - 5004. Give f(43).\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 167123*p**3 - 4589108 wrt p?\nAnswer: 501369*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 25*v**2 + 18*v**2 - 7*v - 9. Let n(u) = -8 - 2351*u - 6*u**2 + 1179*u + 1167*u. Calculate -6*n(b) + 5*p(b).\nAnswer: b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -8*l - 13. Suppose l = y, -3*b + 4*b = -4*y + 549. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1346431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**4 + s**2 - 1 + 43590*s + 11*s**3 - 43592*s + 0 to g*s**3 + x*s**2 + j*s + v*s**4 + u and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13109911, 52439654, 117989229, 209758636, 327747875, 471956946?\nAnswer: 642385849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -68. Suppose -5*n - 258 = -2*z, 3*n = a*z - 118 - 140. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -30590, 1, -2\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259575276 is divided by 167.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - k + 1062 = 27*k. What is the remainder when 4421 is divided by k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czczfzzzzzccc. What is prob of picking 3 z?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u - 32. Let p(s) = -s + 11. Calculate 11*p(x) + 4*v(x).\nAnswer: x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.1, -2\/11, -4, -46, 2.\nAnswer: -46, -7.1, -4, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4098567?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55\/2 of a meter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**3 + 7*a**2\/2 + 15*a. Suppose -2*d + 3*y = -3, -42*d + 3 = -45*d + 2*y. Give h(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9*b**2 + 86*b - 30. Let f(p) = -8*p**2 + 86*p - 31. Let y(j) = -4*f(j) + 3*q(j). Let d be y(17). Solve -d*s + 20*s = 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, 67, 157, 285, 451, 655?\n\"Answer: 19*r**2 - 5*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j - 144071*j**3 + 144083*j**3 + 23*j - 10*j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 a, 1 t, and 1 s when four letters picked without replacement from {w: 1, k: 2, s: 1, a: 2, n: 2, t: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2758 - 2761. What is the third smallest value in z, -9\/55, -1?\nAnswer: -9\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -1)\/(-28 - -32 - (-58)\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) -4 (b) -0.5 (c) -0.169 (d) 0 (e) 1\/283\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*w + 23. Let j = w + -4. Suppose -1 - 14 = -l. Solve -2*y = -6*y - 5*k + j, 3*y - k = l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 85 = -6*k. Let a(o) = 11 + k*o + 24*o - 56*o. Let z(b) = -b + 1. Let t(s) = s**2 - 5*s + 4. Let m be t(3). Determine m*a(h) + 22*z(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 25*t**3\/2 - 7929785*t**2\/2 + 3171911*t\/2 - 317191\/2 = 0.\nAnswer: 1\/5, 317191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-707*c**3 - 709*c**3 + 1448*c**3 + c**2)*(-3*c**2 - 2*c**2 + 4*c**2).\nAnswer: -32*c**5 - c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2. Let v(z) = -8*z**2 - 26*z - 4*z + 15*z - 12*z + 6*z**2. Give v(d(k)).\nAnswer: -8*k**4 - 54*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/12110420 and 137\/28980?\nAnswer: 108993780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 33 + b**2 + 2*b**2 + b**3 - 2*b**3 - 30 as p*b + m*b**3 + u*b**2 + w and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 396603003517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001 minus 725229.6?\nAnswer: -725229.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 143754043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -219) + (1 - 5). Let a = -16 + n. Suppose -3*c + a + 55 = 0. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 491.3? (a) 55\/4 (b) -0.2 (c) 0 (d) 3 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 27467*z - 302134. Calculate n(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/6)\/13*(-6)\/(-165).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 1. Let p be g(3). Suppose -2*b - p = -3*b. Calculate the greatest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.042 + 2.158. Let k = 7.2 - i. Which is the nearest to 1? (a) 2\/5 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 52250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (12\/(-5))\/((-5)\/(-225)). Let o = s + 129. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9503.241 years?\nAnswer: 95.03241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -431 divided by 431\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27746, 98309, 215924, 380597, 592334?\nAnswer: 851141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - 471.\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2*z + 12*k**2 - 444092*k*z**2 - 2*k*z - 251224*k wrt z.\nAnswer: -2*k**2 - 888184*k*z - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 32\/((-416)\/(-39))*(0 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 4*z - 48, 964*z - 968*z - 24 = 5*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -3*n + 4*d + 16, -3*d + 2 = -n. Put n, -3, -2\/5 in descending order.\nAnswer: n, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l - 32*l + 34 = -669 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:54 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 10*w + 11*w + 77.\nAnswer: w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32004 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121351 (base 15) in base 13?\nAnswer: 2437b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -9263?\nAnswer: 9268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2929080290745\/3931684798 - 2\/24884081. Let u = g - 745. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 greater than or equal to 507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -50648.\nAnswer: 15194.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431908 (base 11) to base 14.\nAnswer: -13d935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 54\/(-15))\/(21*(-23)\/(-6440))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -31*c**3 + 5*c + 4. Let k(l) = -32*l**3 + 4*l + 3. Give 4*h(d) - 5*k(d).\nAnswer: 36*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -25 + 22 + (-1 - 0). Let v be (-705)\/(-30) - 2\/x. Calculate the remainder when 57 is divided by v*(-4)\/(-6) - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (0 + 1 + -2)) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 7*c - 2. Let r be h(7). Let b(j) = 31*j**2 - j + 1. Let q be b(1). List the prime factors of (-5)\/10 - q\/r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164\/10 + (-12)\/30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 69*s + 388. Give h(-11).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8\/11)*j**(-15)*j\/(j\/j**(-19\/5))*j**(11\/4) assuming j is positive.\nAnswer: j**(-3691\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*o + 165, -3*g = o + 2*o - 69. Let d(k) = k**3 - 29*k**2 + 40*k + 11. Is d(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -4\/5 (c) -30 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/4 - (-10 - -18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 16. Suppose q*i = 7*i + 96. Solve r + 6 = 5*v - 22, 3*v - i = 3*r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(-1) - (-66)\/12. Which is the third smallest value? (a) 4 (b) x (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 279 - 207. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -402 - -502. Let h be (-240)\/l*(-1 + -4). Solve 6*k = 9*k + h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3327*0.2.\nAnswer: -0.46654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -301142745 and 0.1.\nAnswer: -301142744.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2327524?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + 2. Solve -3*q - v = -7*l + 4*l, -23 = -2*q - 5*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 957 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/42*12*(-21)\/33\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*j**5 + 283*j**4 + 10*j**3 + 436*j**2 + 234.\nAnswer: 4980*j**2 + 6792*j + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101101001 + 0?\nAnswer: 10101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 12) in base 16?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 48 = 4*z + 30*p, 2*z = 5*p - 32. Let w(h) = h**2 + 11*h - 12. Determine w(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33, 84, 155, 252, 381, 548, 759?\n\"Answer: f**3 + 4*f**2 + 32*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12564279\/317 greater than or equal to 39635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-3))\/(q*q*q*q**5)*(q**(-4\/9)\/q*q)\/(q**7\/q) assuming q is positive.\nAnswer: q**(-94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-324 + 1183 - 463)*(j + 0*j**3 - 6*j**3 + 7*j**3 + 2*j**2) to the form l*j + f*j**2 + g*j**3 + h and give f.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/21 and 113\/1992?\nAnswer: 13944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21*78\/(-312)*16\/12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 326*g - 912. What is the smallest common multiple of 702 and u(3)?\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 + 36*v + 245. Let h be j(16). Solve 0 = -11*l + h - 97 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*o = 421*o - 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*q = 36, -21 = -4*q - 9. Suppose -9*i - 2 = -b*i. Let d(x) = -7*x - 2. What is d(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 - 9*q**2 + 3*q**2 + q**2. Let y(t) = -t - 1. Let o(v) = 3*v**2 - 3*v - 3. Let c(f) = -o(f) + 3*y(f). What is j(c(h))?\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 24 = 4*l - 8*h, -119*l + 4*h + 12 = -124*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**3 - 181*q**2 + 132*q - 3011. Determine i(30).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -71752.1 times 11?\nAnswer: -789273.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000 (base 2) to base 10.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 612750 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49790549369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 1\/3*o**4 - 1\/3*o**3 + 14*o + 1\/8*o**2 + 0. Factor d(b).\nAnswer: (4*b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/75)\/(-4))\/((25\/(-25))\/(-75)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23110461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 4) to base 16.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 79*z**2 - 443*z - 1923. Determine j(-84).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449.39 rounded to the nearest ten?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3944.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1dbcc2 - 8e?\nAnswer: 1dbc34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 63 = 187 + 46 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40334785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.8 (c) -2\/13 (d) -20 (e) 1284\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(2*n + 4*n - 5*n) + 15 - 15 - n + 2*n - 9 - 4*n - 2*n.\nAnswer: -7*n - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f = 4*a - 14, -3*f + 15 = 5*a. Let o(z) = -z + a*z - 2*z - z. Let s(k) = -k**2 - 4 + 4. What is o(s(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1341*o**2 - 84*o - 16. Determine g(-1).\nAnswer: 1409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6*9)*(-81)\/18.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in -0.3, -4\/7, 217?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*a + 5*w, 23*a - 1 = 26*a + 4*w. Let s be (-1)\/(1*(-1 - 0)). Is a greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4\/24 + 3*n**2\/2 - 5. Let b(h) be the second derivative of m(h). Let i(v) = v**2. Calculate i(b(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at least 6241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.082490863.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*w - 1317 = -29*w + 5067. Solve 61*m - w*m = -75 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5\/11 - 12*b**4 - 1252*b**3\/11 + 30192*b**2\/11 - 118170*b\/11 + 127764\/11 = 0?\nAnswer: -39, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.9077434ns?\nAnswer: 0.00000000004846239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 2. Suppose u + 0 = 11. Let h(w) be the first derivative of w**3\/3 - 11*w**2\/2 - 3*w - 2. Let b be h(u). Calculate s(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 13 - 1 = 0. Let j = -0.09 + -0.11. Let p be 11\/(-22)*(-3)\/6. Put j, x, -2, p in increasing order.\nAnswer: x, -2, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/2)\/(2 - 0). Let l = 29 + a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 515 - 250 - 288 - 11*o. What is i(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 516851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**2 - 4*j + 2. Let m = 127 + 17. Let b = -142 + m. Let x be h(b). Calculate the highest common factor of x and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.07294 rounded to 2 decimal places?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47193960 less than 0.0344599?\nAnswer: -47193959.9655401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -4, -3, -6, -1, 29 in decreasing order.\nAnswer: 29, 2, 0, -1, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16406168 divided by -4.\nAnswer: -4101542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(10)*-1*-6 - sqrt(10)))\/(sqrt(20)*-3)*6.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/12)\/((-3)\/8). Let d be h\/(-6) - (-52)\/12. Suppose 0*y + d*j + 90 = 5*y, 2*j - 2 = 0. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21234893?\nAnswer: 61, 71, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -30 times -365056\nAnswer: 10951680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -265 + 263. What is the nearest to 1\/3 in c, 1\/3, -5\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000127772 rounded to seven dps?\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from nrnn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 23*x**2 - 23*x - 8. Let b be v(-22). Solve -6 = -5*j + b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n - 10. Determine z(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 555*u - 289*u - u**2 + 22*u - 288*u + 529 - 529.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - u - 15. Suppose -q = u*q - 92. Let a = q + 0. What is the remainder when 91 is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from {b: 2, f: 1, y: 3, c: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let i be o(-2). Suppose d = 5*n + 10, -n - 2*d + 6*d = i. Let j = 2.1 + -2.2. Which is the closest to 2\/3? (a) n (b) j (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 64 + 204 = 21*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4)\/(3*5\/(-75))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 24*u - 152. Let z be a(42). Suppose -3*i + 4*s + z = -1108, 0 = -3*s - 6. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 11001101111011101000?\nAnswer: -11001101111011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/456 and 29\/2136.\nAnswer: 40584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - x)*(4 - 4 - x)*(2*x - x - 2*x) - 7*x**2 + 7*x**2 + 5*x**3 + (-2*x + 2*x - x)*(-19*x**2 + 25*x**2 + 25*x**2).\nAnswer: -27*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 553*x**2 + x - 2. Determine u(1).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*l + 65*l - 203 = 0. Suppose l*a - 27129 = 10948. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iincdrfdifd. Give prob of sequence ci.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102371517?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 233780899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-220)\/165 + 3*1. Put -2\/9, 2\/45, z in descending order.\nAnswer: z, 2\/45, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from {e: 2, f: 5, m: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -19, 615 in descending order.\nAnswer: 615, 3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let j(n) = 7*n - 4. Let g(l) = 1928*l + 6. Let x(i) = g(i) + j(i). Determine x(a(t)).\nAnswer: 1935*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927 a factor of 7158805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 133 = 5*a, a - 9 = 2*l + 23. Let w = a + -1. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2))**(2\/29)*l**7\/(l*l\/l**(2\/11)))\/(l**(-1\/10)\/(l\/((l**8\/l*l)\/l))*l**(-8)*l**0) assuming l is positive.\nAnswer: l**(23339\/3190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/35 - (-7885)\/(-475).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -423?\nAnswer: -1692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, 67, 139, 217, 289?\n\"Answer: -2*v**3 + 21*v**2 + 5*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.39 + 3.61. What is the closest to 2 in v, -2, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47008 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: What is 354 minutes after 3:42 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -2, -66, -198, -422, -762?\nAnswer: -1242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 9*a + 14. Let o be q(-5). Let b be (170\/(-119))\/(o\/21). Solve -4*z + b = j, 5*z + 5*j - 2*j = 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -97*x**3 + x + 1. Suppose -246*y + 253*y = 98. What is the remainder when r(-1) is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 3:53 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.38 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/10*1)\/(4\/(-1))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4.12 (b) -3 (c) 43 (d) 0.34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 2310 - 246. Solve -c*p = -198*p + 120 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.03937 and -5.\nAnswer: 15.19685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2557.\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 1 (c) 0 (d) 41 (e) 6.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.2. Let u(p) = -p**2 - 3*p. Let r be u(-3). Let m be 38\/14 + -3 + r. Is q greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/(((i\/(i\/i**4))\/i)\/i*i*i))\/(i**(2\/5))**(-2\/35) assuming i is positive.\nAnswer: i**(354\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(-3*a + 3*a - a)*(-6 + 1 + 2).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022 (base 3) to base 9.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -192*z - 1729. What is m(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 200141506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 89865 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 3*v = -8*x - 3, -4*v - 72 = -5*x. Calculate the least common multiple of x and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9.9 (b) 2\/17 (c) 1 (d) 6\/11 (e) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dood when four letters picked without replacement from dmddodo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1453416 (base 10) to base 16.\nAnswer: -162d68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -10120350\nAnswer: -4\/1686725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11227765 is divided by 6276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 - 4 = 0. Let k(t) = -3*t + 42. Let m be k(15). Is m not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 360*p**2*u*w + 14*p*u**3 - 2*p*w - 2*u**3 + 41*u**2 + 20*u*w with respect to p.\nAnswer: 720*p*u*w + 14*u**3 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3627705.\nAnswer: 3, 5, 241847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2200 and 12400?\nAnswer: 136400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -12.9. Let d = k + -2. Which is the nearest to d? (a) 2\/11 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 8. Let g = c + -6. Suppose -g*u = -3*o + 285, 0*u = -o - u + 102. What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 681, 1361, 2041, 2721?\n\"Answer: 680*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 11. Suppose 0 = -v*m + 3*r + 24, 5*m - 2 - 11 = -4*r. Suppose -x = -34 + m. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -571 + 396. Let t = c - -232. What is the highest common factor of t and 627?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0) + -1 + 1. Let s be ((-26 - 0) + m)\/(-1). Suppose 4*l + 5 = 57. What is the greatest common divisor of s and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 1132920.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 9.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/70*(-28)\/6 + 3. Sort -5, x, 5 in increasing order.\nAnswer: -5, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Suppose 0 = -o + 3*t + 2 + 58, -o + 42 = 3*t. Suppose m = -3*q + 45 + o. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 19 = 5*b, -6*b + 2*b + 4*y - 20 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 13) in base 9?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001238 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2 - 4*w. Let j(m) = -m**2 - 17*m + 61. Let x be j(3). Let b(l) = -9*l - 12 + 5*l + 7 + 3 + x - 5*l**2. Give 2*b(t) - 3*k(t).\nAnswer: 2*t**2 + 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 10308 - 1728 = 0. Suppose -22*y = -18*y - n. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 27*l - 8. Let v(w) = -80*w + 23. Let k(x) = -8*d(x) - 3*v(x). Differentiate k(o) with respect to o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 + 3*h - 4. Let m be c(-4). Suppose 0 = -4*y + m. Let b be (10\/y - 3)*0. What is the nearest to -1 in -4, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 12*c + 10. What is j(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306071, 305376, 304681, 303986, 303291, 302596?\nAnswer: 301901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -14 + (-8)\/((-448)\/847). Let s(v) be the third derivative of 0*v**3 - 1\/2*v**5 - t*v**4 + 5*v**2 + 0*v + 0. Find the second derivative of s(a) wrt a.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 1:00 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = -3*z. Let u = 13 - z. Let q be 4*3\/(-12)*1*5. Which is the second smallest value? (a) u (b) q (c) -4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -3\/4, 1\/20, 1\/2, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 2*f - 9. Let j(l) = l - 17. Let k(g) = -g**3 + 9*g**2 - 7*g + 14. Let m be k(8). Let p be j(m). Let n be d(p). Solve n*c + 16 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -851 and -842 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*-6 - 171\/(-36)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 502 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 776 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17862537 to 3 decimal places.\nAnswer: 0.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 1050\/112 - (-6)\/(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9584, 76504, 258180, 611996, 1195336?\nAnswer: 2065584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - o**3 + 7*o**3 + 28 - 10*o**2 - 5*o**3 + o. What is the units digit of m(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 66*y**3 - 17*y**2 + 62*y + 9. What is the units digit of m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + 0.4. Let h = -0.033 + -0.072. Let t = h - b. Round t to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1728) + sqrt(1728) + -2) + (-1 + sqrt(1728))*6 - -5*(sqrt(12) + (-2*sqrt(84))\/sqrt(7))*6)**2.\nAnswer: -3600*sqrt(3) + 97300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2032 + 201322?\nAnswer: 144240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10998118*c**4 + 40*c**2 + 803516.\nAnswer: 263954832*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {y: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = a + 32. Calculate the remainder when (-4)\/16 - (-146)\/a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1033 - 1033 - 176*w**2 to x + s*w**2 + h*w and give s.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1564 + 1016 = -4*l. Let p = l - -645. Solve 5*u - 3*o - 17 = p, 2*u + o + 2*o + 10 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7492580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - a - 12, 4*a - 36 = -u - 16. Find the second derivative of -23*w**2 - 20*w - u*w + 28*w wrt w.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**6 - j**2 - 3. What is the second derivative of f(i) wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -2\/257 (c) -0.7 (d) 0.5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 14*q - 115. Calculate y(-19).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.829 + -753.171. Let g = -755 - n. Let q = -1 - -2. Which is the third smallest value? (a) -0.5 (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 76 - (1\/(-4 - 9\/(-2)) - 3). Calculate the greatest common divisor of y and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*v + 29. Round v to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29694 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 39 - 60 = 0. Let a(j) = 17*j - 175. Calculate the remainder when 48 is divided by a(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 11:56 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -26539*s - 1326943. What is d(-50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-15) + (-292)\/6. Let i(l) = l**2 + 8*l + 3. Let r be i(-5). What are the prime factors of r\/(-30) - n\/5?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvmzogmvt. Give prob of picking 1 m and 1 g.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 10:18 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 835349039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*p**3 + 53*p**2 - 53*p**2 - 5*p**3 + 2*p**3 - p**3 + (2*p**2 + 0*p**2 + 0*p**2)*(0*p - 4*p + 2*p) - 252*p**3 - 251*p**3 + p + 494*p**3.\nAnswer: 40*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - x + 2. Let v be d(-5). Let m be ((-6)\/v)\/(1\/(-1)). Let c = -2 - 0. What is the nearest to 0 in m, -3\/7, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.01 - 29. Let n = j - 0.21. Let d be (-12)\/(-20)*(-5)\/(-2). What is the nearest to -1\/2 in n, d, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -36*l**3 - 21*l + 9. Let t(k) = 9*k**3 + 5*k - 2. Determine -2*q(s) - 9*t(s).\nAnswer: -9*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64294424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 - 0) + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5 (c) 1793.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(((-42)\/(-1242))\/(-7)). Let o = h + -200. Solve -23 = o*v + 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 20*t - 18. Let s(n) = n. Let l(b) = g(b) + 3*s(b). Is l(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 86*m - 7. Is 56 a factor of g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -67080\/5351?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/648 and -49\/17231520.\nAnswer: 465251040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 2\/9, 0.4, 1\/22, 2\/3, -31?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4442 divide 446763034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 1:34 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 1. Let j(s) = s. Let k be j(7). Let r(y) = -8*y + 11. Let o(m) = 8*m - 10. Let h(t) = k*o(t) + 6*r(t). Determine -h(z) - 6*u(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 50 - 21*n + 22*n.\nAnswer: n + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Suppose -2*c = 5*h + 15, -m = c - 3*h - 23. Suppose 2*y + 293975 = -c*f, -4*f = 2*y - 6*f + 294010. Round y to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/(-8)*1\/(2\/8). Let c be ((-5)\/5 + o\/(-9))*3. Sort c, 0.2, -3\/16 in descending order.\nAnswer: c, 0.2, -3\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 1\/5 (c) -3 (d) 3\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v - 40 + 74 - v. Let x be i(-7). Suppose 29*f - x = 33*f. Let y(d) = -3*d**2 - 5. Let o(w) = -16*w**2 - 28. Determine f*o(m) + 28*y(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4*l - 3358 = -3298, d - 4*l + 35 = -9*l for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348 + 938 = -59*x - 62 - 1015 for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-1)\/1 - -4. Let x be -8*(12\/8 + f). Suppose 0 = -2*d + 4*p + 4, 2*d + 12*p - 9*p = -3. Which is bigger: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, 0.1, -1\/114, 9\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fdooooodgfogoofo?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*((sqrt(24) - sqrt(96)\/(sqrt(36)\/sqrt(9) + sqrt(4))) + sqrt(24)))\/((sqrt(200) - 1*(sqrt(200)*1 - sqrt(200)))*-1).\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 13. Does 24 divide 414\/14 + m\/(-112)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57*2\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {z: 4, s: 2, r: 4, j: 3, a: 3, p: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -4576822.\nAnswer: 4\/2288411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/77 and 65\/12936?\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -464 + 463.9. Suppose -h = -4, 5*r - 2*h = 44 - 12. Let z be (2 + (-14)\/r)\/1. Put 2, m, z in descending order.\nAnswer: 2, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(sqrt(171) + 2) + -3 + 5)*4.\nAnswer: 28 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (19720\/(-110))\/(-17) + 12\/(-22)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 = 179. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 595, 1318, 2633, 4834, 8215, 13070?\n\"Answer: 49*p**3 + 2*p**2 + 374*p + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18982723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -973 plus 0.14?\nAnswer: -972.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 260402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0838*-0.041\nAnswer: -0.0034358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 65508 and -0.12?\nAnswer: 65508.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 278 + -180. Suppose 5*i - 5*x = 3*i + 51, -i + x + 30 = 0. What is the remainder when d is divided by i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 - 24 = 3*h. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + ((-7)\/(-2))\/7*4. Let r(w) = -w**3 + 7*w**2 - 5*w + 2. Let k be r(a). Calculate the greatest common divisor of 270 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8*(-10 + 7 - 178\/(-4)).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937*r = 933*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 3*x**2 - x - 2. Let o be d(-3). Let t be (5 - 7)\/(o\/11). List the prime factors of (-600)\/(-33) - (-4)\/t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 11:37 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79929 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a minute in seconds?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 104395486, 208790967, 313186448?\n\"Answer: 104395481*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6894145 and 3056?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*y**4 - 2*y**3 + 209*y**4 + 3*y**2 - 72 - 100*y**4 in the form h*y**3 + q*y + s*y**2 + i*y**4 + c and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 5*g + g**3)*(-5*g**2 + 5*g**2 - 3*g**2 + (-g + g + 2*g)*(2*g + 0*g + 0*g)).\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -12*t**2 + 7*t - 17. Calculate p(4).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36958*c**5 + 709*c**2 - 1.\nAnswer: -2217480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 87.60678 tonnes?\nAnswer: 87606780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 5421 and 36.\nAnswer: 5457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - w + 3 + 1 + 6*w**3 - 7 + 7 to m + z*w**2 + g*w**3 + h*w and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 5. Let h = -58 + 40. What is the remainder when l(4) is divided by (-4)\/(-6) - 78\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/30)*s\/(s\/(s\/(s**(-1\/11)\/s*s))) assuming s is positive.\nAnswer: s**(371\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 25 - (-5 + 1) - -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 9\/4 - 1\/8*u**3 - 37\/8*u + 5\/2*u**2 = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 4*i**2 + 5*i + 5. Let g be j(5). Let u be 1 + (3\/6 - -1)*(11 + -13). Sort 7, g, -5, u in descending order.\nAnswer: 7, g, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -24. Let o be (-1)\/(-6) + (-77)\/(-42). Suppose 2 = o*h - 2. Calculate the highest common divisor of h and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3510\/(-70))\/(-9))\/((-1419)\/3311).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-12)*48\/(-300)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.1183 tonnes in grams?\nAnswer: 788118300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 522\/24)*-56*(-3)\/2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 1\/2*t**3 + 0*t**2 + 0 + t - 1\/4*t**4. Factor s(l).\nAnswer: -3*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1598 divide 8982358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.4 and -1.38.\nAnswer: -5.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16535809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9118, 8862, 8430, 7816, 7014?\n\"Answer: -o**3 - 82*o**2 - 3*o + 9204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*u = -245*u + 64. Let v be 89 - ((-8)\/u - 5\/4). What is the highest common factor of v and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 12*p**2 + 12*p + 12. Let b be w(13). Let f = -12589.6 - -12590. What is the nearest to b in f, 3, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**3 - 6*k + 70 - 2*k**3 - 2*k**3 - 72 to the form g*k + l*k**3 + w + b*k**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -283 + 285. List the prime factors of 36\/u*104\/12*2.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -4*d - 12, 10 = 8*y - 5*y - 2*d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*z = 274114 - 28192. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131861351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:40 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**2 - 278238*d - 9742005 = 0.\nAnswer: -35, 92781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*s - 15 = 0, d - 3*s + 3 = -0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 30*s - 2*s - 28*s + 32*s + 15*s. Let d(q) = 31*q**2. Calculate d(x(w)).\nAnswer: 68479*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, i: 7}. Give prob of sequence jiji.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 2*c + 3. Let s be x(0). Solve -s*i = -5*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 7*j - 16 = -11*j, -4*g + 2*j = 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1114993 + -16697264\/15. Let g = 1843 - m. Let i be ((-3)\/((-42)\/8))\/(2\/7). Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n - 204. What is g(29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 times -10.6?\nAnswer: -996.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/38 in 1\/5, -1, -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i + 96. Let t be z(16). Solve 7*o - 9*o = 3*l - 11, 2*o - l + 1 = t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/9 - 1046*d\/9 - 2084\/9 = 0. Calculate d.\nAnswer: -521, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 13929501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 - 116. Let g(f) = f**2 + f + 9. What is the units digit of g(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 3*r - 9 = 6*k, -15 = -k + 5*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 774 + -3061\/4. Let q = 47669\/12 + -3975. Find the common denominator of p and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = 2*z, 4*n + z = -3*z - 12. Suppose 0 = -4*f + k + 38 + 13, 3*k + 45 = 3*f. Solve -u - f = n*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**17\/n)\/n)\/((n\/(n\/(n*n**0))*n*n)\/n) assuming n is positive.\nAnswer: n**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -216*z + 60. Let g(u) = 99*u - 32. Let h(o) = 13*g(o) + 6*j(o). Give h(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992000 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - 6*b**2 - 2*b + 2. Let t be z(-4). Let f = 109 - t. Solve -y + 2*y - 4*n + f = 0, -8 = -5*y - 3*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 24. Let d(n) = n**3 + 2*n**2 - 21*n - 14. Let q be d(-5). Determine w(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 205 - -7?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*j - 26 = 0, 0 = 4*m - j - 2*j - 94. Let f be m\/6 + (-10)\/15. Suppose 0 = -f*v + 45 + 9. Calculate the highest common divisor of v and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12609730 a multiple of 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168*c**2 + 2759 - 1381 - 1380)*(c + 0*c - 2*c)*(3*c - 5*c - 3*c).\nAnswer: -840*c**4 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 + 7*s - 5. Suppose -36 = -30*b + 28*b - 2*a, 52 = 3*b + a. What is the remainder when q(4) is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88)*1*3 - sqrt(88)))\/(sqrt(32)\/sqrt(4)*5) + 3)**2 + -5.\nAnswer: -6*sqrt(11)\/5 + 111\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2520 (base 6) to base 7.\nAnswer: -1551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8260 and 3717?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (841*j + 52962 - 52962)*(-2*j - 3*j + 6*j)*(-2 + 6 - 3) in the form w + i*j + c*j**2 and give c.\nAnswer: 841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1069010, 2138025, 3207016, 4275971, 5344878, 6413725, 7482500?\n\"Answer: -2*q**3 + 1069029*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -6370790\nAnswer: 2\/637079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 77*w + 504. Does 58 divide t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/2096 + -2087\/6288. Which is the third biggest value? (a) 1\/9 (b) -4\/3 (c) -1 (d) 6\/11 (e) j\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8076)\/(-797505))\/(-6 - -1*124\/20).\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.9 + 3. Let c = -2228 - -2227.5. What is the second smallest value in 9, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 133800975 divided by -14866775\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.19 - -0.19. Let b = m + 4.93. Let w = b - -1.35. Round w to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142083884 to the power of 1\/2, to the nearest integer?\nAnswer: 11920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + 68 + -96 + 2 + 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0407 - 578370792?\nAnswer: -578370792.0407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753328.\nAnswer: 2, 197, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 41 (b) -0.4 (c) -0.05 (d) 2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3264287489 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 210437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h - 271 = -3*d, 20 = 5*h. Let a(t) = t**2 - 21*t + 37. Let s be a(15). Let i = d + s. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0*i**2 - 4 - 1 - 14*i**2 as v*i**2 + c*i + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180641 and 174.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10424 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37462, -299764, -1011766, -2398330, -4684318?\n\"Answer: -37477*v**3 + 12*v**2 + v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 143376 and 35844.\nAnswer: 143376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 13\/1276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (76\/10)\/(1\/5). Let z(j) = -2*j**3 + 27*j**2 + j + 192. Let r be z(14). Let g be i\/r - 8\/(-40). Solve -g*w - b = 20, -2*b - 4 = w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -234*l - 14. Let o be s(-9). Let r = o - 1205. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (19 + (-870)\/48)\/(6\/16). Let w(l) be the first derivative of 0*l + 1 - y*l**3 - 13\/2*l**2. What is the second derivative of w(n) wrt n?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35.38 - -2194.38. Let w = -2184.34 + a. Let q = w - -18.7. What is q rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h - 10*h. Let 5*x + h - 1 + 3 - 9*x**3 - 6*x**2 = 0. Calculate x.\nAnswer: -1, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228732 a multiple of 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 9. Suppose -5*o - 5*s = -y, 4*s - 2*s = -4*o + 12. Suppose -683 = -o*n + 4*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17445816*c**3*j - 105080*c**2 + 48*j wrt c.\nAnswer: -104674896*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 1:33 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5994*x + 6043*x + 6023*x - 30203*x + 6016*x + 6058*x.\nAnswer: -69*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4766, -8179, -11594, -15011, -18430, -21851?\n\"Answer: -h**2 - 3410*h - 1355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35253 by -1327.\nAnswer: -35253\/1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(1\/24)\/(a**(5\/6))**23 assuming a is positive.\nAnswer: a**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173055, -344263, -515471?\nAnswer: -686679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/107, 11.3, -2\/9 in decreasing order.\nAnswer: 11.3, 0.5, 1\/107, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3745 by -107.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/1*(-25)\/4750*-19*5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9232 divided by -577?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - i**3 - 21*i**3 + 4*i**3 - 29*i**3.\nAnswer: -45*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/11, 2, 8, 3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31, 1\/3, -2\/11?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = k - q + 87, 2945*k + q = 2914*k + 6*q - 2397 for k.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p**2 - 3*p + 4. Let f(n) = -4*n**3 + 4*n**2 + 9*n - 12. Let r(g) = -2*f(g) - 7*k(g). Let b be r(2). Let q(j) = 2*j - 6. Give q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110111011110 - 1111000001010?\nAnswer: -111101111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26347 + 176070 + 14633 = -4341*g for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3 + 54372*k**2 + 11352433*k + 11298060 = 0.\nAnswer: -207, -1, 54580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbzo when four letters picked without replacement from nnoobnjbnnnozozzn.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (((5 - -1) + -19 - -3) + 7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - l = 3*l - 15, -4*q = -4*l - 100. Let c = -358 - -425. Calculate the remainder when c is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75356757 a multiple of 3871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -12. Suppose 16 = -a*z + 3*z. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-25)*275\/(-330)*-5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b - 46*b = -128. Suppose 0 = g + 3*i - 22, 15*i - b*i + 3 = 0. Solve -2*n - 3*q = -g, -5*q + 3*q = -3*n + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*f - 178 + 312 + 3*f**2 - 141)*(-2*f - 4*f + f).\nAnswer: -15*f**3 + 145*f**2 + 35*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -29645 + 59*n**2 - 144*n**2 - 770*n + 80*n**2 = 0.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -147*b**6\/10 - 26*b**4\/3 - 132*b. Find the third derivative of n(u) wrt u.\nAnswer: -10584*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120160849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-24*14\/(-126)))\/1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 - 34 + 22 - 13*l**2 + 0*l**2.\nAnswer: -17*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 87 = 23. Suppose -3*i + u = k, 3*i + 4 = 16. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431009?\nAnswer: 3, 17, 47, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -9. Let d be 4*(2 + 2\/(-8)). Suppose y - q = t + 2, d = 3*y - 2*t. Is y greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11 (b) -1\/5 (c) -4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -38*c**2 + 3. Let x(d) = -505*d**2 + 40. Let n(h) = -40*a(h) + 3*x(h). Let o(i) = 115*i**2. Determine n(o(w)).\nAnswer: 66125*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14994 and 777240?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2996\/107*(-77)\/(-2)*(-170)\/(-1870).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*b**3 - 7*b**3 + 14*b**5 + (-b + 4*b - b)*(4*b**3 - 4*b**3 - 2*b**4) + (3 - 2*b - 3)*(2*b + b**2 - 2*b)*(3*b**2 - 5*b**2 + b**2).\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-2*((-9)\/6)\/(84\/(-8))). Solve -j = -61*l + 71*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3589754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 4*p**2 + 3*p - 2. Let n be i(4). Let z be (n\/(-105))\/((-2)\/(-6)). What is the closest to -1 in 2\/3, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1210, -5, 0 in decreasing order.\nAnswer: 0, -5, -1210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 364990 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5 + 14. Factor 1\/3*o - 1\/3*o**v + 1\/3*o**2 - 1\/3.\nAnswer: -(o - 1)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -799*x - 8779 - 5324 + 25348 = -27906 for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 (base 9) in base 2?\nAnswer: 10011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28104 divided by 7026\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 377 - 185 = -z, z = 3*h + 574. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjd when three letters picked without replacement from {d: 1, j: 19}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 1272*z + 47736. Calculate l(37).\nAnswer: -2066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517375949 is divided by 273?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from zzzzzjzuuuljzzzzbuj?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 290408 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-6 + 3) - (1 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, i: 6, s: 1}. What is prob of picking 3 f?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j - 4*j + 2*j)*(2 - 44*j + 81*j - 38*j).\nAnswer: -6*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -98.\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-12))\/1 + 21\/(-28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 4*d - 8*d + (-2*d - 4 + 4)*(1 + 1 - 3).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4666*-13\nAnswer: -60658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t = -18*t - 42 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 3*w**2 - 2*w**3 + (-2*w**2 + 2*w**2 - w**3)*(0 + 2 + 0) - 224*w - 11*w**3 + 224*w)*(2 - 2 + 2*w).\nAnswer: -30*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1549594 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2334690 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(15\/8)*150\/60?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27230 - 9260. List the prime factors of k.\nAnswer: 2, 3, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3*(0 + 1*sqrt(125)*1*-5))**2 + 5).\nAnswer: -168780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5135 or 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 96.6*66451\nAnswer: 6419166.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 - -154. Let k = -81.039 + u. Let m = 0.961 - k. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 4*i - 11. Let u(b) be the third derivative of -1\/4*b**4 + 0 - 1\/60*b**5 + 0*b + 3*b**2 + 7\/6*b**3. Calculate u(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, c: 2, n: 6, d: 5, u: 3}. What is prob of picking 1 u and 2 d?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - h**2 + h + 1. Let d(f) = -2*f**3 - 3*f**2 + 40*f - 1 + 5 - 38*f. What is -d(k) + 4*s(k)?\nAnswer: -2*k**3 - k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2351932 greater than or equal to -2351891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, i: 2, p: 8}. What is prob of sequence pi?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 120220133 (base 4) to base 6\nAnswer: 2055035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 4. Let y = -4.9 - k. What is the nearest to y in 1, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8089284 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 1 t when three letters picked without replacement from {l: 3, b: 1, r: 1, f: 2, t: 3, k: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 14*w - 16*w + 20 = 0, -3*w + 6 = 0. Which is the third smallest value? (a) n (b) 4\/7 (c) 0.1 (d) -63 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14691889*a**3\/2 - 95825*a**2\/2 - 625*a\/8 = 0. What is a?\nAnswer: -25\/7666, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9899*g**2*v*x**3 + g**2*x**3 + g**2*x + 124*g**2 - x**3 wrt v?\nAnswer: 9899*g**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**3 - 11*q**2 - 16*q + 5. Let d(k) = k**3 - 2*k**2 - 3*k + 1. Let b(p) = 11*d(p) - 2*w(p). Suppose -5*u = j - 25 + 47, 3*u = -12. Calculate b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1712)\/(-18) + 63\/(-567). Calculate the highest common factor of v and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 558 and 1054.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33078*o*u**2 - 80971*o*u - 2*u**2 wrt u?\nAnswer: 66156*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*k**4 - 2*k**5 + 2*k**2 - 4*k**4 + 20*k**4 + (1 - 5 + 3)*(k**5 + 3*k**5 - 6*k**5) + 20*k**5 + 1 - 1.\nAnswer: 20*k**5 + 5*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a2 (base 11) to base 3.\nAnswer: 22122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9642 - 9639. What is the nearest to 4.3 in z, -0.02, 2\/13, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.6918 times -611\nAnswer: -422.6898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 5*x**2 + x + 7*x + 3*x**2 - 6720 + 3*x.\nAnswer: -2*x**2 + 2*x - 6720","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1543.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**6\/60 - w**5\/15 - 11*w**3\/6 - 10*w. Let d(h) be the second derivative of u(h). Find the second derivative of d(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-1\/11))**(1\/10) assuming s is positive.\nAnswer: s**(-1\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(27) - sqrt(6)\/(-4*sqrt(2) + sqrt(2))) + -1*(2 + sqrt(75))**2 + 4.\nAnswer: -75 - 41*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 21 - 431. Suppose -u + 68 = z. Let m = z + 559. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y**2 + 70. Let b(q) = -3*q. Determine b(z(v)).\nAnswer: 24*v**2 - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-5) - (-1 + 2). Let r(g) be the first derivative of -3*g - 2\/5*g**5 + 0*g**3 - 3 + 0*g**4 + n*g**2. What is the derivative of r(x) wrt x?\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 - 135 = -7*j. Let k = 5 + -1. Solve -k*d + 5 = 2*t + 3, -j*t = -5*d - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 - -10.9. Let x = -11.9 + b. Is -0.3 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/((-195)\/15))\/(356\/13706).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22986760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 16. Let b(g) = g**3 - 6*g**2 + 11*g - 3. Let v be ((-5)\/2)\/(2\/4). Let r(a) = -a**3 + 6*a**2 - 10*a + 2. Let i(w) = v*b(w) - 6*r(w). What is i(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9740 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 9273614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 divided by -2?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p. List the prime factors of h(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11322122 + 403?\nAnswer: -11321214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 + -4344284220?\nAnswer: -4344284462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -34b03?\nAnswer: -34b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a134 (base 12) in base 14?\nAnswer: -1769a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 32 = 9*j. Suppose 43 = j*c + 31. Solve 7*m = 5*m + c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g. Let r(v) = -v**2 + v - 1. Let s(j) = -24 + 4*j - 10*j**2 + 3*j**2 + 20. Let n(z) = -4*r(z) + s(z). What is h(n(f))?\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*i**4 + 5*i**3 - 154*i**2 - 68*i - 8 = 0. What is i?\nAnswer: -2\/5, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30429351 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.017 and -2104?\nAnswer: 2103.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555 = -5*c - 0*c. Calculate the common denominator of 9\/16 and 4\/(-10) - c\/(-60).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 0 + 1\/2*i**3 + i**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + -3)*-4)**2*5.\nAnswer: -2400*sqrt(2) + 4720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 13) to base 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y**4 - 29112*y**3 + 1008848*y**2 - 1306272*y + 431104 = 0. What is y?\nAnswer: -842, 2\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 82 - 300)*(0*q**3 + 4*q**3 - 2*q**3) + (q - q + q**2)*(-5*q - 2*q + 6*q).\nAnswer: -449*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*((-2)\/(-1*2) + 61\/(-122)). Which is the closest to 2\/7? (a) t (b) -3\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*t - 20*t + 7 + 53. Do t and -12 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82596103?\nAnswer: 3221, 25643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/14? (a) -1\/4 (b) 2 (c) -16 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42520188 + 2.3\nAnswer: -42520185.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (2 + sqrt(243)*-3)) + sqrt(243)*1*2 + sqrt(243))**2.\nAnswer: -252*sqrt(3) + 11911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45450 divided by -9?\nAnswer: 5050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -3) + -1 + 0 + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**4\/24 - 860*k**2. Let s(y) = -5369*y. What is s(c(j))?\nAnswer: -5369*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026556172 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: What is the value of 11\/(-330)*-10*(-12)\/28?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046389886 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/25*3 + 2. Factor 2\/5*q - 1\/5 - i*q**2.\nAnswer: -(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 18*l**2 - l + 27. Let x be b(18). Calculate the greatest common divisor of x and 702.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 16640311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8781 - 1989. Round g to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/2 + -7\/6. Let u = -7\/6 + 5\/6. Let n = -88.5 + 88. What is the closest to x in u, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*f*m**2*u + 357614*f*m**2 + 3*f + 110*m**2*u - 81*u wrt u.\nAnswer: -53*f*m**2 + 110*m**2 - 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1326679 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 28 - f + 6*f. Let l be 4\/14 + (-3 - 492\/(-42)). Let w(s) = s + 7. Let a(t) = l*w(t) - 2*j(t). Give a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0201 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*g = 213*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -681*(-6)\/(-624)) + 3\/8?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*r**3\/3 - 14*r**2\/3 + r = 0. What is r?\nAnswer: 0, 3\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-260))\/((-538)\/5380).\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2441*a + 6888675 = 2600*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 25. Is l(19) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 23. Let q be o\/(-6)*12\/9. Which is the nearest to 0? (a) 3 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -10. Suppose -2*w = -y*w + 486. Calculate the remainder when w is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 279 - 274. Suppose -4*y - 4 + 16 = 0. Let a be ((-8)\/4)\/(2\/(-6)). Solve y*q + 14 = -h, -2*h - 29 = g*q - a*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1420375 and -1420371 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3464 by 4.\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - u**2 + (3*u**2 + 0*u**2 - u**2)*(3 - 5 + 0) - 26 - u**2 + 26)*(-2 - u + 1 - u) as k + o*u + t*u**2 + c*u**3 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 13. Suppose 7*a + 24 = 10*a. What is the remainder when 31 is divided by l(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1720504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 2502\/917?\nAnswer: 2502\/917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 13, 66?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/9301071 or 1?\nAnswer: -17\/9301071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3713 + 510. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 16 = -34. Let b(p) = -7*p + 5. Let n be b(-5). What is the highest common divisor of n and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6448580453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262155210.\nAnswer: 2, 5, 127, 993823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 27, 92, 207, 384?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.2 - -4.2. Which is the biggest value? (a) 27\/7 (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 11 + 226 + 62*t - 45*t + t**2. Let h be d(-13). What is the greatest common divisor of h and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*b + 2*b**3 + 46*b - b**3 + 44*b + 18 as d*b**2 + a*b + n*b**3 + o and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 20\/14) + (1 - (-13095)\/(-8253)). What is the biggest value in g, 1\/4, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v + 7 + 3*v**2 - 3*v + 0*v**3 - 7*v**2 - v**3. Let w be f(-3). Let z be w + (-2)\/2 + 5. Sort 1, -5, z in decreasing order.\nAnswer: z, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 0*q)*(-4*q**3 + 0*q**3 + 2*q**3)*(-3*q + 2*q + 2*q + (-2*q + q + 0*q)*(-1 + 0 - 1)).\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 1440 = -1158. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 10*b = -9, -2*w + 21 = -3*b. Suppose 0 = -5*c + 3*q - 0 + 19, c - 17 = 5*q. Let s(t) = c - t**3 + 4 + 12*t**2 - 7*t - 5*t**2. Calculate s(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583328?\nAnswer: 2, 18229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3224647 millennia in years?\nAnswer: 322.4647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10 not equal to -2667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/7 and 5\/9011843.\nAnswer: 63082901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 1 - s - 1 + (-2 + 3 - 4)*(s - 3*s + 0*s) + 3225 - 148*s - 3225.\nAnswer: -140*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.113 and -0.3.\nAnswer: 3.3339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4940 by -988.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 112*(-21)\/(-6) - 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llgt when four letters picked without replacement from wllgtgllglg.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 83 = -7*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12464327231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.175 minus 99.8?\nAnswer: -99.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6289673, 6289672, 6289671?\n\"Answer: -s + 6289674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wofuofwffo. What is prob of picking 1 o and 1 f?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:20 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3233 - 0.2433. Put -0.3, -3\/5, r, 1\/5, -2 in decreasing order.\nAnswer: 1\/5, r, -0.3, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 0. Suppose -y*m + 7 = -3. What is the lowest common multiple of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 168\/(-35)*(-2 + 2 + -10). What is the common denominator of 306\/15 + 4\/(-10) and (3\/(-2))\/(40\/s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*i - 3472 = -331*i + 8928 for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -31564821.\nAnswer: 6312964.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -88? (a) -4 (b) -0.7 (c) -2 (d) 0.2 (e) -2\/155 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3059\/8200 - 2\/1025. Let t = -4 - -9. Put -0.4, y, t in increasing order.\nAnswer: -0.4, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149676479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 0*i + 2*i + (1 - 1 - 2)*(-i - 2*i + i) - 26*i - 26*i - 11*i + (2 - i - 2)*(-2 - 2 + 5) to t + q*i and give q.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*v - 68099489 = 129613611. Round v to the nearest 10000.\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -4\/3 (b) -2 (c) -4 (d) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -7, 21, -5 in ascending order.\nAnswer: -7, -5, 0, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 8075775.\nAnswer: 565304.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002887 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 72. Suppose t = 9*v - 85. What is the remainder when 24 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4029.00252 + -4029. What is a rounded to five dps?\nAnswer: 0.00252","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*r + 105 + 21 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/4 (b) -0.4 (c) -1.9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7 + 0*a**3 + 5*a**3 + 2*a - a + a. Let y(c) = -3*c**3 - c + 4. Let o(k) = 4*s(k) + 7*y(k). Factor o(h).\nAnswer: -h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/1027735 and 62\/565?\nAnswer: 1027735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.67 * 102899.\nAnswer: -68942.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l - 14*l + 4*l**2 - 3*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5391 and 8102.\nAnswer: 20571.7882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 170615217 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2 (c) -4 (d) 2\/9 (e) -1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-408)\/(-238)*(3 - 8))\/((-2)\/((-84)\/9))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 10:49 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 4*g**2 - 4*g + 1. Let z be q(-3). Let l = -25631\/9 + 2842. What is the common denominator of z\/(-24)*292\/(-6) and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 2:41 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -222121303312 (base 4) in base 13?\nAnswer: -23c269c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255 by -4.\nAnswer: 255\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 395, 369, 297, 155, -81, -435, -931, -1593?\nAnswer: -2445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1591 is divided by 1496.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*(1 - ((-21)\/(-9) - 1)). Let c be 46 - (2 - 0 - s). Calculate the greatest common divisor of 120 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 236, -2\/77, -1?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -126 + 146 - 4*q**2 - 5*q**2 - 20 - 11*q + q**3 as h + i*q + m*q**2 + p*q**3 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3137420 divided by -285220.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -69, -149, -283, -471, -713, -1009?\n\"Answer: -27*x**2 + x - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.000176 - -20. What is p rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070 >= 939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554108 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - -52. Let t = -22 + 64. Calculate the remainder when n is divided by t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8132 (base 14) to base 10.\nAnswer: -22192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675288?\nAnswer: 2, 3, 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-5\/7)*d)**(2\/43)*(d*d*d\/d**(-5)*d)\/(d*((d\/((d*d\/d**20*d*d)\/d))\/d)\/d*d*d) assuming d is positive.\nAnswer: d**(-2978\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1539473263, -1539473262, -1539473261, -1539473260, -1539473259?\n\"Answer: a - 1539473264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 4:54 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 29*n**2 - 94*n - 507. What is the remainder when z(-5) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c - 29. Let o(a) = -4*a - 28. Let y(x) = 5*d(x) - 6*o(x). Let n be y(4). Which is bigger: n or -1\/46?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**5\/10 - 2292*o**4\/5 - 5262423*o**3\/10 - 2099014*o**2 - 1573230*o = 0.\nAnswer: -2290, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(75) + sqrt(75) + -4 + -2*sqrt(75)) - 1*(2 + sqrt(75) + -5)) + 5)**2*-3*-1.\nAnswer: -840*sqrt(3) + 2577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245781454 divided by -1178.\nAnswer: 208643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**3 + 3*m**3 + 0*m**3 + 9*m**3 + 3*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {d: 2, s: 1, z: 1, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**2 + 399*h - 604 wrt h.\nAnswer: 6*h + 399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116271 is divided by 58024?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6655493, -13310989, -19966485, -26621981, -33277477?\n\"Answer: -6655496*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 577891 to the power of 1\/2, to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1705*v + 11931. Let r be m(7). Let t = 0 - -0.02. Which is the biggest value? (a) r (b) t (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.67605 to 2 dps.\nAnswer: -1.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 633. Let t(s) = -886. Let a(z) = -7*o(z) - 5*t(z). Let y(r) = 12*r**3 - 10. Calculate -10*a(v) + y(v).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 545574498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3193 by -140.\nAnswer: 3193\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 293 - -2215. Suppose 5*n - r = -3*p + 703, -p + 5*n = -1097. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*c + 1252 = -383*c - 1718 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 2*t**2 + 8*t + 19. Let b be y(-3). What are the prime factors of 1\/(-4) - (-3081)\/b?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/65 and 51\/25?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2236 - 2233. Solve 0 = 2*k + y + 10, 5 + 6 = l*k - 5*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44\/9, 0.3, 4, -3\/5, 0.2 in increasing order.\nAnswer: -44\/9, -3\/5, 0.2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -40517.496 rounded to the nearest 1000?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-12) - (9152\/(-156) + 58)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 8:10 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -95, -112, -129, -146?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 598946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13004 + 14?\nAnswer: 13021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 300, 245, 152, 3, -220?\n\"Answer: -3*r**3 - r**2 - 31*r + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.104 - 0.086. What is d rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00196 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.04055.\nAnswer: -0.04055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -537 (base 14) to base 7\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 0*g**2 + 0*g + g + 10 + g**2. Let n(m) = -2*m - 19. Let h be n(-12). Is 10 a factor of s(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1\/6, -4\/9, 16158, 2\/57, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -83. Find the second derivative of -83 - 34*y**3 - 6*y - j*y + 44 + 41 wrt y.\nAnswer: -204*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x - 13*x - 16*x to u*x + n and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5758, 5755, 5752, 5749, 5746, 5743?\n\"Answer: -3*r + 5761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3, 3*k + 50 - 773 = u. Suppose -20*r = 8*r - 840. What is the greatest common factor of k and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lloololllllolllollll. Give prob of sequence lo.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10*c. Let v = -12 - -13. Let x be t(v). Let r(u) = u - 2. Let b be r(2). Solve b = 4*w - 5*l - 4 - 13, 4*w + 2*l = x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -84.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3997 = 3*h - 3*u - 20257, u = 5. What is the highest common divisor of 279 and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 - (2 + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*y**4 + 0*y**4 + 12*y**4 - 4*y**2 wrt y.\nAnswer: 288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2 - 8. What is a in 8 - 1 + 15*a**d - 5*a**3 - 2 - 12*a - 3*a = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**2*v**4 + 3*b**2 - 1616022*b*v**4 + 36*b + 1786 wrt v.\nAnswer: -12*b**2*v**3 - 6464088*b*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 17626 in descending order.\nAnswer: 17626, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (14322\/310 + -45)\/(0 - 8\/(-5))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11*b**2 - 85*b - 68. What is the tens digit of w(21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 less than 0.2?\nAnswer: -627.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + 4*(sqrt(425) + 3) - (sqrt(425) + 0 + sqrt(425) + 3)) + 5*(sqrt(425) - (sqrt(425) + -4))*-5*-1)**2.\nAnswer: 3270*sqrt(17) + 15706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6541227.59999903 + -6541226.9. Let u = -988.7 + 988. Let w = n + u. Round w to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*d**2\/7 + 1151*d\/7 - 18\/7 = 0. What is d?\nAnswer: -18, 1\/64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/3 - (-4 + 55\/15). Is (-5 - 4)\/((z\/(-9))\/(-2)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o + 5. Let g be w(4). What is the highest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/2 - 5\/((-5)\/18). Suppose -25*j = -24*j. Suppose -5*i - 10 = -j*z + z, 4*z - 35 = -5*i. Is n smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.346 > -2435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2737\/(-207) + (-3)\/((-27)\/2). Let c = 92 - n. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -15. Let h be 68\/s + (-4)\/10. Suppose 1 = -2*i + h*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 940 and -28.52.\nAnswer: -26808.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + o + 30. Let s be z(0). Suppose -2*n = -5*n + s. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -136. Suppose 30 + z = 7*m. Is 2\/m + (-1740)\/(-70) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 115\/6? (a) 58 (b) -7 (c) 0.3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.243 - 4.49. Let b = s + 38.162. Let c = -39 + b. What is c rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66652.\nAnswer: 2, 19, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5947*c - 5923*c + 2040 = 0 for c.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 4 - -4 - (1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -13) + (15 + 7 - 6).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, 1\/3, 4.3, -31, -2\/11 in decreasing order.\nAnswer: 4.3, 1\/3, -2\/11, -31, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j. Let t(h) = 1278093*h. What is t(q(x))?\nAnswer: -1278093*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -3*t**4\/8 - t**3 + 3*t**2\/4 + 3*t - 144. Factor r(g).\nAnswer: -3*(g - 1)*(g + 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u**2\/2 - 5697*u\/4 - 85239\/4 = 0.\nAnswer: -1353\/26, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16767692 or 16767694?\nAnswer: 16767692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2260 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*j - 47*j + 59279. Calculate the highest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1067782137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18430 - 11785. Calculate the remainder when q is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**3 + 178*x**2 + 1766*x + 3837. Let r(h) = 25*h**3 - 1245*h**2 - 12360*h - 26860. Let t(k) = -20*n(k) - 3*r(k). Factor t(z).\nAnswer: 5*(z + 3)*(z + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 22*u**2 + 7*u**2. Suppose -4*a + 3*z - 4 = -3*a, -z = -4. Let c(w) = -5*w**2. Let i(g) = 2*g + 11. Let h be i(-7). Calculate a*c(o) + h*b(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgmq when four letters picked without replacement from gmqjdjqd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -32*i - 1. Let a be w(-1). Suppose 0 = 2*s - a - 63. Let m = 8 + s. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/27852 and 3\/16247?\nAnswer: 194964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 2\/3, 46\/7.\nAnswer: -0.09, 2\/3, 46\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 4, 0, 19 in descending order.\nAnswer: 19, 4, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 0. Let f = 2.5 - 5.2. Let y = f + z. Which is the biggest value? (a) -0.3 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (0 + 1)*6. Solve j + 6 = t*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 19*n - 42. Let d be u(-2). Solve -5*p = -5*r, -d*p = 8*r - 4*r + 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 22 + 24 + m**3 + 16*m**3 - 4*m**3.\nAnswer: 13*m**3 - 3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s. Let w(l) = 4*l + 9. Give u(w(r)).\nAnswer: -24*r - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/21, 1\/4074, -5\/6, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 3*f**2 + 7\/3*f**3 + 0*f + 1\/24*f**4 + 0. Let y be t(-8). Solve 19 = -5*o - y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 10*v**2 - 11*v - 5. Determine h(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 477763 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 5 (b) -0.09 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 945923 to the power of 1\/2, to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 95228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*f - 0*f - 3*d, -5*f - 5*d = 20. Let v be (-3)\/2*f\/6. Let k(c) = c + 2 + 0 - c**v - 2*c - 5. Give k(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/77164 and 33\/202?\nAnswer: 77164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 517306994?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 2*l - 60. Let r be c(29). Let v = r - 820. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6618 + -6623. Which is the closest to 6? (a) -0.3 (b) -16 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 39. Let n(a) = a**3 + 9*a**2 + 5*a - 6. Let j be n(-6). Suppose 0 = -v*c - 2*c + j. What is the lowest common multiple of c and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*k**4 - 4\/5*k**3 - 48\/5*k**2 + 54 + 36\/5*k = 0.\nAnswer: -3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 7*t**3 + 7*t**3 + 1 - 20*t**3.\nAnswer: -17*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67996.\nAnswer: 2, 89, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**19)**40 assuming a is positive.\nAnswer: a**760","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508*x + 117*x - 203*x + 336*x + 2.\nAnswer: 758*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 - -128. Let a = d - -21. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 9*d**2 + d - 9. Let v be z(9). Suppose -11 - 33 = 11*s. Put v, -17, s in descending order.\nAnswer: v, s, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2831 is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 24.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -26. Find the second derivative of -13*n - 2*n - v*n + 12*n**3 wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*h**3 - 3 + 6*h**3 + 12*h**3 - 23*h**3 - h + h - 2*h**3 + (2*h + h - 4*h)*(0*h**2 - h**2 + 3*h**2) + h**2 - h**3 - h**2.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/4, 0.24, 2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.65 in -3, 3, 6, 1\/12, 5, 2\/193?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.420092 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 17*c + 18. Suppose -4*u + k = -59, -u - 95 = -6*u - 3*k. Let r be i(u). Solve 5*f + 4*g = -2, -4*f + r*g + 20 = -2*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h. Let k(b) be the first derivative of 1 + b**2 + h*b + 4\/3*b**3 + 1\/2*b**4. Factor k(q).\nAnswer: 2*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - 2 - 0) + -1 - (-1495 - -1494)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 764668\nAnswer: -1\/382334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30043 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + u + 1. Suppose -2*q - 4*z - 18 = 0, -5*q - 2*z = 3 + 2. Let o(h) = -h**2 - 1. What is q*o(k) + 2*l(k)?\nAnswer: k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 15 = 5. Let a(z) = -z**2 + 6*z + 11. Let n be a(7). Let r = 8 - n. Solve v = g*v - r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5430 divided by 6\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*t + 5*c - 8, -2*c = -t + 26. Solve -12*f = -t*f + 30 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2069, -3505, -4945, -6389, -7837, -9289?\nAnswer: -10745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*h)\/h*h*(h*h**(-2\/59))\/h assuming h is positive.\nAnswer: h**(-297\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17844390.\nAnswer: 2, 3, 5, 17, 107, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -236333 <= -236812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -282860 equal to -282856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5047 or 5399?\nAnswer: 5047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 + 6*i**4 + 7*i**4 + (4*i**4 - 5*i**4 - 3*i**4 + (0*i**3 + 0*i**3 + 2*i**3)*(1 + 3*i - 1))*(-1 - 1 + 3).\nAnswer: 14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/473 + (-31)\/(-55)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17597529 to the nearest ten thousand.\nAnswer: -17600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 873405 divided by 9?\nAnswer: 97045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 226160210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -438.5 + 446.5. Sort 1, -13\/2, o in ascending order.\nAnswer: -13\/2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/45 and 131\/31806.\nAnswer: 159030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 3051015 and 3051014 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 356\/7 - 51. Which is the second biggest value? (a) -6 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 3*n - 26537 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 119*m**2*z**2 + 8205*m**2 wrt z?\nAnswer: 238*m**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c - 31 = -5*l, -l + 2*c + 11 = 0. Suppose 15 = -5*t + 5*z, -2*t - z - 1 = -l*t. Solve -24*r - t = -23*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 2:26 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 323076 by -39.\nAnswer: -8284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**4\/8 + 2*j**3\/3 - 43*j**2 - 66. Let t(c) be the second derivative of n(c). Give t(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503248 is divided by 141?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4)**(-5\/4) assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -88600000 rounded to the nearest 1000000?\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -7. Let d = 17 - 10. Sort f, 0, d.\nAnswer: 0, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**3 + k**2 - 1. Let d(q) = -71*q**3 - 18*q**2 - 409*q + 12. What is -d(p) - 14*f(p)?\nAnswer: p**3 + 4*p**2 + 409*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-74)\/222)\/(1\/(-246)) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-60))\/(3\/(-9))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154*a**3*g + 48*a**3*s - 3*a**3 + 2*a**2*g*s - 1 with respect to g.\nAnswer: 154*a**3 + 2*a**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 9:24 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 7 (b) 2\/17 (c) 0.9 (d) 4 (e) 50 (f) -8\/5 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6*p = 39. Let w = p - 26. Calculate the remainder when 37 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 3*w**2 + 3*w - 1. Let p be -6*2\/(-6)*1. Suppose -p*g + 4 = -g. Calculate the least common multiple of g and x(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71 and 103163?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d - 12*d - 26*d.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.5 and -51.\nAnswer: -433.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2057) + (sqrt(1700)*3)**2 - (4 + (sqrt(17) - (sqrt(17) + 4 + 4)**2) + 5).\nAnswer: 26*sqrt(17) + 15373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 126*x + 2. Suppose 0 = -2*h + 2*z, 6*z = -4*h + z + 27. Let i(j) = j + 2*j - h*j + j. Determine f(i(r)).\nAnswer: 126*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**3*r**3 + 935*q**3*r**2 + 464*r**3 wrt r?\nAnswer: -12*q**3 + 2784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 6*i - 5*x - 418, 0 = 5*i - 5*x + 1115. Calculate the common denominator of -75\/22 and (i\/(-54))\/((-16)\/(-12)).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*a + 9*a + 15*a - 2*a**4 - 17*a**3)*(3 + a - 3).\nAnswer: -2*a**5 - 17*a**4 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8 - 5*i**2 + 2*i**2 - 8*i + 5 + 4*i**2. List the prime factors of n(9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -648, -972, -1296, -1620?\nAnswer: -1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -2, -750 in decreasing order.\nAnswer: 4, -2, -4, -750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 613628.9 + -0.2.\nAnswer: 613628.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 247485 = 15*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1405, 8553.\nAnswer: -1405, -1, 8553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -m - 0*m + 72105, g + 72095 = 3*m. Let l = 15110 + g. Round l to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 = -10*w - 203. Let r(d) = 8*d**2 - 4*d + 2. Let m be r(4). Let i = m + w. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 575\/2 - 287. Let 0*a + 1\/2*a**2 + 0 + s*a**4 + a**3 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/3 - 4*p**4\/3 - p**3 + 10*p**2\/3 + 8*p\/3.\nAnswer: p*(p - 4)*(p - 2)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16964*d - 5769*d - 5431*d - 5760*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -191022720 divided by 2135?\nAnswer: -89472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 489, -457, -3021, -8013, -16243, -28521, -45657?\nAnswer: -68461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qleeyqq. What is prob of picking 1 y and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 345\/8 - 43. What is the closest to -2\/9 in g, -0.11, 2\/13?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 64, 155, 258, 379, 524, 699, 910, 1163?\n\"Answer: u**3 + 84*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -1\/10 (b) 0.1 (c) -2\/5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -238.51 * -0.01\nAnswer: 2.3851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09926198822 + 121.09926096822. Let w = 121 - d. What is w rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + -10?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 9:59 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x + x)*(-x**2 + 1 - 1)*(-12*x - 7*x + x) + (1 + 1 - 5)*(-15*x + 6*x**4 + 15*x).\nAnswer: -54*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 2142, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68590*k**2 - 68595*k**2 + 2 - 3 + 1.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9777757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/728 and 11\/182.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 180 = -28*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009165208 rounded to five decimal places?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -12. Suppose 3*u = g*u + 25. Let l(c) = 3*c**2. Let y be l(1). Sort u, y, -1 in descending order.\nAnswer: y, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.147 + 263.853. Let u = w + -263.438. Round u to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46050 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2044\/11 - 186. What is the closest to -1\/2 in 3, b, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 - 5*r**2 - 9*r + 1. Determine m(4).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 4, h: 15}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3))**(-27)*g**4*g\/g**(-1\/9)*(g**(-7)*(g**15\/g)\/g)**28 assuming g is positive.\nAnswer: g**(1396\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {x: 1, s: 1, i: 1, e: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 6) to base 3\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(32) + sqrt(800) - ((sqrt(32) + 0 - sqrt(32))**2 + 4).\nAnswer: -5 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/8 + 0)*2185\/2185?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 6*n**2 + 2*n + 6. Suppose -s + 5*i = 18, 818*s - 3*i + 15 = 816*s. Give g(s).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(b**3 + 5 - 5 - 2*b**3 - 3*b + 3*b + 2*b**3 - b**3 - 2*b**3 + (3*b**2 - 2*b**3 - 3*b**2)*(4 + 0 - 1) - 3*b**3 + 2*b**3 + 3*b**3).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3820622 a multiple of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.10856678349 and 3.5.\nAnswer: 3.60856678349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 23 = 3*q - 5, r - 16 = 5*q. Suppose 4*d - 2*b = r*d - 16, 0 = b + 1. Find the third derivative of 3*u**3 - 6*u**3 + d*u**3 - 3*u**2 wrt u.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f = 50*f - 1152. Suppose -12*i = -360 - f. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114011 (base 6) to base 13.\nAnswer: 46ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007385 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 260782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 - (246 + -288)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309087946.\nAnswer: 2, 997, 155009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 412, 501, 712, 1087?\nAnswer: 1668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77))\/sqrt(11) - ((sqrt(7) + sqrt(175) + 1 - sqrt(7)) + sqrt(7)))**2 + ((3*sqrt(28)\/sqrt(4))**2 - sqrt(63)*5).\nAnswer: sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1221 + -15881\/13. What is the closest to 0 in 0, -0.5, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -82728183.\nAnswer: -82728182.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 11*a**3 + 2090*a**2 - 4*a - 1163. Calculate q(-190).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 77*b - 4916. Calculate d(64).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330012?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 240968 to the power of 1\/2, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*r - 53. What is the remainder when r is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 68296 = -3*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d = 0. Let x = 6 + -5. Let b = x - d. Calculate the remainder when 1 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(2 + -1*(sqrt(931) - (sqrt(931)*2)**2) + (sqrt(931) - (sqrt(931) - (-2*sqrt(931)*1)**2)) + 1).\nAnswer: -37260 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17506 + -15?\nAnswer: 174b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, q: 2}. What is prob of picking 4 r?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:35 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.31? (a) -0.2 (b) -1403 (c) 2\/7 (d) 6 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 2*u + 4 + 5*u - 4.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) -1.2 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10196631?\nAnswer: 3, 377653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t*t**(2\/9)*t)\/t*t)\/t)\/t*t*t)**48\/(t**(-1\/14))**(-12) assuming t is positive.\nAnswer: t**(3230\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times -17254\nAnswer: 20704.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/14 - (-2)\/14*-2. Suppose u*j = d - 168 + 1262, -3*j = -2*d - 1642. Does 39 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 5*n**2 - 2*n + 11. Suppose -75*p + 328 + 47 = 0. Determine i(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 714772, -8 in decreasing order.\nAnswer: 714772, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or 195\/4?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**2 + 36 - 2*u - 7*u**2 - 11 + 5*u as p*u + f*u**2 + x and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-21))**(2\/41)*(o\/(o*o**(-23\/4)))**(-8\/5) assuming o is positive.\nAnswer: o**(-2096\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**4 - 120*h**3 - 555*h**2 - 170*h + 840 = 0.\nAnswer: -3, -2, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4132156 rounded to 4 dps?\nAnswer: 0.4132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 59\/3, 5, -0.06?\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/1840 and -191\/7590.\nAnswer: 60720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpf when three letters picked without replacement from hepmuhf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 3444.\nAnswer: 13776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 4:49 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -530*r + 220*r + 4030 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38192, 305421, 1030752, 2443235, 4771920, 8245857, 13094096?\nAnswer: 19545687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/16 (b) -5 (c) -2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 n when three letters picked without replacement from lvnnnznvnljnllvjzvnn?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -26*o - 15. Let u(m) = -113262*m. Calculate i(u(f)).\nAnswer: 2944812*f - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*j - 49068 = 229*j - 1295*j for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)\/(f*f**1)*(f\/((f*f*f**(1\/4)*f*f)\/f*f))\/(f*f\/f**2)*(f**3*((f\/(f\/f**(-1\/7))*f)\/f)\/f)**(-40) assuming f is positive.\nAnswer: f**(-2311\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + p**2 + 2. Let o be t(0). Suppose 0*m - 5499990 = m - 5*v, 0 = -2*m + o*v - 10999996. What is m rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7209.43 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/8 (b) 13 (c) 3\/7 (d) -2 (e) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7089 and 5421?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*v + 4611 - 1305. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 + 49 + 76 - z)*(0 + 1 - 2).\nAnswer: z - 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0) + 3 - 3. Let c(s) = 4*s**2 + s. Let h be c(j). Suppose -55 = -h*a - u, -37 = -3*a + 2*u + 9. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z + 201. What is the remainder when 73 is divided by m(26)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123042 is divided by 118073.\nAnswer: 4969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/13, 56604, -2\/25, -2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -212*c**6\/15 - 179*c**5\/20 - c**3\/3 - 506*c**2 - 2*c - 2. What is the third derivative of z(p) wrt p?\nAnswer: -10176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-4)\/(-8))\/(13\/(-234))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (sqrt(363) - (4 + sqrt(363)*2)) + sqrt(363) + 1*sqrt(363) + 4)**2.\nAnswer: 66*sqrt(3) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 9*s**2 + 1. Let x be v(9). Suppose -r - 4*r + 170 = 0. Let k = r - x. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (17 - 9) + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56, 49, 32, -1, -56, -139?\n\"Answer: -h**3 + h**2 - 3*h + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2385899?\nAnswer: 17, 293, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, z: 4, e: 7}. Give prob of picking 2 s and 2 z.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35383 = -1712*q + 849*q for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 10*w**3 + 7*w**2 + 7*w + 11. Let b(i) = -7*i**3 - 5*i**2 - 5*i - 7. Let t(o) = -7*b(o) - 5*m(o). What is the first derivative of t(s) wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40581 and 209061.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 118, 500, 1128, 1996, 3098, 4428, 5980?\n\"Answer: -h**3 + 129*h**2 + 2*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17152 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.45 (b) -779 (c) 4 (d) 2\/13 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14*f**2 + 56*f - 7. Let j(v) = 28*v**2 - 137*v + 17. Let p(k) = -4*j(k) - 10*y(k). Let x(n) = -11*n**2 + 5*n - 1. Give -5*p(m) - 12*x(m).\nAnswer: -8*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 15*m**2 + m + 6. What is the units digit of j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + q**2 - q - 1. Let f(h) = 8*h**3 + 4*h**2 - 3 - 6*h**3 - 5*h**3 - 2*h + 0. Calculate -f(m) + 4*z(m).\nAnswer: -m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(13) - sqrt(13)*1))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.793 + -0.4\nAnswer: 0.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 126, 63, 22, 15, 54, 151, 318?\n\"Answer: 2*c**3 - c**2 - 74*c + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 313489*k + 300341?\nAnswer: 313489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Suppose 2*o + 572 = -5*v, 6*v - 3*v - 2*o = -340. Let l be v\/(-27) + 4\/(-18). Put l, h, 0 in decreasing order.\nAnswer: l, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 284236*o = -284237*o - 13, 0 = 16*o + 48 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-847)*1*-7.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17\/7 (b) -1\/10 (c) 0.14 (d) 55 (e) 0.1 (f) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6430814*q*x**3 - 56472*q - 6 wrt x.\nAnswer: 19292442*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000413250282 to seven decimal places.\nAnswer: 0.0000413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, p: 6, f: 4, m: 3}. Give prob of sequence mp.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 5, d: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (41 - -50) + (112 - 174)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/2)\/(b*b**4))\/(b**(-1)\/b*b*b*b*b*b**(1\/5)*b)*((b\/(b*b**1))**(6\/11))**(5\/9) assuming b is positive.\nAnswer: b**(-3301\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -58448.77581 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 46*u**2 + u - 25. Is y(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44380 times 0.058?\nAnswer: 2574.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.1 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 4. Let q be k(-5). Let p(m) = -9*m - 11*m + 42*m - 20*m - m. Let s(b) be the first derivative of 3*b**2 + 2*b + 1. Calculate q*s(d) - 3*p(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k - k + 3*k + 2*k - 3*k + 3*k - 4*k - k + (5 - 2 - 4)*(-1 + k + 1) + 3*k - 34*k - 5*k)*(0*k**2 + 7*k**2 - 3*k**2 + (k - k - k**2)*(5 - 1 - 3)).\nAnswer: -117*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/15 - 1372*o**2\/5 + 140904*o + 848720\/3.\nAnswer: 2*(o - 1030)**2*(o + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (25217 - 570) + (0 + -1)*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 - 33*n**3 + 70837 - 38*n - 35420 + 8*n**3 - 35417 to a + r*n + i*n**3 + j*n**2 and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14071 rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 3*y + y**2 + 2*y**2 - 2*y**2 - y**2 + (2*y + 0*y - y)*(4 - 4 - 2*y))*(12 - 10 + 9).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.26 - 0.74. Let l = j + 17. Let c = 912\/7 + -130. Is c equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.3 + 3. Let y = -1.1 + 1. Which is the closest to 0? (a) 0.4 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 1423647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 828 and 2379879.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f + 2. Let z be q(-2). Suppose -36 = z*m - 4*m. Is ((-63)\/m)\/((-12)\/(-32)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*y + y. Suppose 2*j = -y*j. Solve j*l = -l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*n + 148*n + 920*n - 102408 = -658*n for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*s + 5 = 2*d, -4*s - 4*d + 20 = 0. Let j(n) = 6*n**2 + 3*n. Let m(h) = 7*h**2 + 3*h. Give s*m(x) - 6*j(x).\nAnswer: -x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*j**2 + 3*j + 272*j**2 - 878*j**2 + 329*j**2.\nAnswer: 67*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxps when four letters picked without replacement from {x: 10, b: 1, s: 2, p: 2, l: 1}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**4\/12 - z**3 - 74592*z**2. Let p(b) = -b**2 - 6*b - 4. Let t = -15 - -11. Let w be p(t). What is x(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21576433 is divided by 668?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 5, 0, 1016 in decreasing order.\nAnswer: 1016, 5, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4767762 kilograms?\nAnswer: 476.7762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1215))\/((sqrt(36)\/sqrt(2))\/sqrt(6)))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.73427l in millilitres?\nAnswer: 98734.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2259 divided by 9\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (355 + 217 + 88)*(0*q**2 + 0*q**2 + 2*q**3).\nAnswer: 1320*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 2*p + 2*p - 0*p + p + 5*r, r = 0 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 290*x - 586*x - 7 + 1958 + 297*x + 2*x**2 - 2*x**3 to the form h*x**3 + n*x**2 + o*x + y and give y.\nAnswer: 1951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290*b - 63 = -1285*b - 3*q, 7*b - 27 = -3*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21687918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + d**2 + 0*d**2 + (d + 0 + 0)*(3*d + 4*d - 37*d))*(-4 + 4 + 2*d)*(2*d + 3*d + 0*d).\nAnswer: -330*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338784?\nAnswer: 2, 3, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/5 + 11*w**4\/5 + 19*w**3\/5 + 9*w**2\/5 = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-3)*57\/(-95) + -3. What is the second biggest value in n, -1, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b + 22. Suppose -3*k - 8 = 22. Let m = k - -17. What is the units digit of q(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v - 4. Let t be j(2). Let w = 0 + t. Let 2\/5*u + 6\/5*u**w - 2\/5 - 4\/5*u**4 - 2\/5*u**3 = 0. What is u?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 82.391 from 0.024.\nAnswer: -82.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.8, 20, -0.5, 45, 0.4, 4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 27*d - 27. Is c(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 59*q**2 + q**3 + q**2 + 31.\nAnswer: q**3 - 58*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 917 or 93533\/102?\nAnswer: 93533\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 4\/(16\/5). Let q = -0.3 + 1.3. What is the biggest value in q, r, -4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*l + 1896921 - 8336606 = 0. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.7 times 0.6\nAnswer: 6.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/4 - (-1)\/2. Let k be (-64)\/a + (-1)\/(-3). Suppose g - 27 = -4*u, -4*u = -3*u - 4*g - k. Solve -16 = -3*n - u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/((-6)\/(-7) + 1 - 2). Let j = -2 - -246. Let s = j + b. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -2, 3, -3, 8, -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, 5 in ascending order.\nAnswer: -3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-67779)\/(-8) + (-8)\/(512\/24)?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + x**2 + x + 9. Let z be c(0). Suppose z + 11 = 4*n. Suppose 4*r = 21 + 35. Calculate the remainder when r is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 - 7\/((-28)\/(-16)). Suppose -x*k = -20*k - 1312. Let l = 82 + k. Is -10\/17 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/6*24\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 4061?\nAnswer: 4059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 5*y**2 - y + 9. What is r(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*v**3 + 2*v - 4 - 13*v**3 - 27*v**3 - 2*v**2 - 8*v**3 in the form p*v + y*v**2 + x*v**3 + k and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*j + 28. Suppose 0 = j*m - 149 + 21. Calculate the greatest common factor of 48 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 4. Let n be s(0). Let a be (6\/(-7))\/(2\/14). Is n\/(-12) - 404\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -40*a**2. Let c(q) = -47*q. Give c(m(o)).\nAnswer: 1880*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3 + 0*p + 5*p - 2*p. Let r be c(2). Is 200\/r - 2\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/10)\/(f\/f**24) assuming f is positive.\nAnswer: f**(227\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, v: 3}. Give prob of picking 3 v.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1584, 1576, 1552, 1506, 1432?\nAnswer: 1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4285 is divided by 78?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/4 - 264*m**2 - 28275*m\/4.\nAnswer: 3*m*(m - 377)*(m + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 - 0.14. Suppose 15 = 3*y + 2*y. What is the biggest value in y, 0, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197 - -2563\/13. Which is the nearest to -2\/5? (a) 1\/3 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9986771*s - 9986777*s + 3*s**3 + 19973548*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 3*f**2 + 3. Let x be n(3). Suppose x*d - 70 + 22 = 0. Suppose 3*p - d = 2. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3ddd (base 14) to base 9\nAnswer: -16044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 4:46 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1 + 2*j - 4 + 4. Let q be c(3). Let m(r) = r**3 - 6*r**2 + 6*r + 5. Give m(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*r - 26 - 2 - 35 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = -8*o + 4*o, 3*x = 3*o + 12. Sort -4, -1, o in ascending order.\nAnswer: -4, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27821, 27828, 27825, 27800, 27741, 27636?\nAnswer: 27473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 526.0801503 - 567.080157. Let z = c + 41. What is z rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 11:30 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13065525.\nAnswer: 3, 5, 11, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 19*h - 3. Let q(p) = -400*p + 64. Let d(u) = -64*a(u) - 3*q(u). Let b(x) = -12*x**2 + 38*x**2 + 2*x**2 - 29*x**2. Determine b(d(i)).\nAnswer: -256*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 3*k + 2. Calculate y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60720?\nAnswer: 2, 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k**2 + 4*k + 4. Does 6 divide w(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 761.7 - 762. Let u be (-26)\/(-10) + 2\/5. Let q = -0.1 - 0. Which is the nearest to q? (a) u (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xfxxfx.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1219, 2457, 3713, 4987, 6279, 7589, 8917?\nAnswer: 10263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45987?\nAnswer: 3, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**3 - 5*j**2 - 3*j - 3. Let o be 1\/2 + (-8)\/32*-18. Let h(d) = -7*d**3 + 2*d**3 - 420*d + 3*d**2 + 1 + 422*d + 1. Determine o*h(s) + 3*n(s).\nAnswer: 2*s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59483 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 11. Suppose -4*s = s + 35. Let y = s + 17. Calculate the highest common divisor of y and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/24 + 286\/(-132) + 1\/3. Let a(u) = -u**3 + u**2 + u. Let t be a(-3). Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 0.26.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w**2 + 39 - 16 - 12 - 10 - 3 + 7*w + 2*w**3. Let r(x) = -x**3 - 4*x**2 - 3*x + 1. What is -3*p(j) - 7*r(j)?\nAnswer: j**3 + 4*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2168)\/(-924) - 256\/112.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - t**4 + (-6 + 6 - 3*t**2)*(16*t**2 + 24*t**2 - 60*t**2) + (-2*t**3 + 5*t**3 - 4*t**3)*(t - 5*t + 2*t) + 3*t**4 - 4*t**4 + 0*t**4.\nAnswer: 60*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 17\/247 (c) 9441 (d) 4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97854, 97864, 97874, 97884, 97894, 97904?\nAnswer: 97914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10403, -10372, -10343, -10316, -10291?\n\"Answer: -a**2 + 34*a - 10436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n + 3405 = -27*n. Suppose -n = 5*d - 10946. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14510 (base 6) to base 13\nAnswer: 10b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1bb + -c5c5?\nAnswer: -c408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(637) - sqrt(637) - sqrt(637))**2 + -1 + 1 + sqrt(13) + sqrt(13).\nAnswer: 2*sqrt(13) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -238 - -477\/2. Which is the smallest value? (a) i (b) -0.11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**3\/2 + 447*m**2 - 897*m\/2 - 895 = 0?\nAnswer: -895, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447, -1766, -3961, -7032, -10979, -15802?\nAnswer: -21501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, k: 3}. Give prob of sequence xkxk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:55 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 887*l**3 - 1013?\nAnswer: 2661*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47528*-464.\nAnswer: 22052992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 226781.6734732.\nAnswer: 226781.7734732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*y + 2*y. Let z = y + -15. Let d = -3 - z. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*40\/(-13500)*1\/((-2)\/(-12)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -360249 and -360216 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 14. Let b be (y\/(-2))\/(-1)*640\/105. Suppose -8\/7 - 22*f**2 + 14*f**3 + b*f = 0. Calculate f.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + j + 8, 8 = m + 2*j - 3. Suppose -321 = -m*b + 2244. Let r = b - -4745. What is r rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 80. What is the lowest common multiple of n(-52) and 296?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -6) + -12 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**3 - 4*f**2 + 5*f - 4. Let n(z) = -9*z**3 + 7*z**2 - 10*z + 7. Let g(h) = 4*n(h) + 7*w(h). Find the second derivative of g(j) wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -202.7 - -203. Let t be (-6)\/(-9)*2\/(-4). Which is greater: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -75225*f. Let s(d) = 14*d**2. What is s(l(o))?\nAnswer: 79223208750*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l + z - 7, 0 = 5*l - 4*z - 14. Solve 0 = l*f - 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226433*g + 453330*g - 219951*g to p*g + h and give p.\nAnswer: 6946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 14) in base 6?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -557259 and -0.0148.\nAnswer: 8247.4332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u - 14 + 18 + 34 + 28 to the form o*u + z and give z.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**3\/3 + 43876*g**2\/3 - 146152*g + 350688 = 0. Calculate g.\nAnswer: 4, 6, 10959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/((-105)\/(-393)) + (-6)\/(-21). What is the highest common divisor of q and 228?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 112\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 234747101 to the power of 1\/2, to the nearest integer?\nAnswer: 15321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 - 2*t**5 + 0*t**5 + (t**5 + 3 - 3 + (-1 + 7 - 4)*(-2*t**2 - 3*t**5 + 2*t**2))*(1 - 1 + 1).\nAnswer: -7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3*n - 3, 3*n = -k - n - 11. Let o(f) = f**2 + f - 4. Let i be o(k). Determine q, given that 7*q - i*q**3 + 0*q + q + 2*q**4 - 4*q**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -355*f**2 + 5*f - 5*f - 29029*f**2 - 17500*f**2 to k*f + u*f**2 + x and give u.\nAnswer: -46884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4559*q - 1094*q + 41525 = 44229 - 182884 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 777 = -3*y, r + 6*y = 4*y + 261. Suppose -5*m - 173 = -q, -4*q + m - r = -930. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. Let x = -0.13 + -4.87. Let q = 3 + x. Which is the second smallest value? (a) -3 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*h + 462437 - 462877 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/11*s**2 + 0*s - 6\/11*s**3 + 4\/11*s**4 + 0.\nAnswer: 2*s**2*(s - 2)*(2*s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/685 or 1\/4?\nAnswer: -16\/685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1456\/(-4004) - 1\/(-11)*-1393.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, e: 5}. What is prob of sequence ex?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Calculate (-4)\/8*(-48)\/(-6)*4\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 6*g**2 + 8*g + 5. Determine u(6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53948, -1\/2, -5, 0.19, -0.01 in decreasing order.\nAnswer: 0.19, -0.01, -1\/2, -5, -53948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 78 = 5*r - 101, -5*u + 307 = 4*r. What is the lowest common multiple of u and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d - 1. Let l(o) = -5*o. Give z(l(j)).\nAnswer: -20*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*b, -3*q = -0*q - 4*b - 74. Let x be 100\/60*q*1. Suppose 4*w = 17 + 3. Solve -w*k = -i - x, i + 42 = 4*k + 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*i**4*u**2 + 3*i**3*u - i**2*u**2 + i**2*u - 5*i**2 wrt i?\nAnswer: 240*i*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -363*a**2 + 41212*a - 41212*a in the form g*a + n + i*a**2 and give i.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2212 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168940 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 396481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/5 + 14*z**3\/5 + 36*z**2\/5 + 34*z\/5 + 11\/5.\nAnswer: (z + 1)**3*(z + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*t + r - 41, 0 = 3*t - 4*r - 79. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 34 - 69 = -2*v, -3*u - 20 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/77)\/(2\/22). Let r = 19\/14 + -3\/2. What is the third smallest value in r, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6054*q - 1757*q + 3500*q to the form x + k*q and give k.\nAnswer: 7797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 greater than -948161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12915 = 699*n - 402 - 4857 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + x = -0*x - 7, -2*x + 25 = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + sqrt(320)*1 + -4 + 0)**2.\nAnswer: -1536 + 512*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 23*n**2 + 696*n - 3410. Calculate x(5).\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 410945 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67193307373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13236 * 3.7.\nAnswer: -48973.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -61*m**5\/5 + m**4\/2 + 10*m + 96. Differentiate h(l) with respect to l.\nAnswer: -244*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1073 - -1073. What is the closest to s in 0.1, 51, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21400 * -8780\nAnswer: -187892000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-12))\/((-7)\/(-2)))\/((-349)\/14658)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*c*i**3*x**2 - 3*c*i**2*x + 31*c*i**2 + c*i - 2*i**3*x**3 + 2*i**2*x**3 wrt i?\nAnswer: 378*c*x**2 - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**5\/60 + 9*n**2. Let g(m) = 41*m. Calculate q(g(v)).\nAnswer: 1681*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.1 and 312.\nAnswer: 4399.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4920 and 25584?\nAnswer: 127920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40.3645 - -40.2784922. Let x = 0.086 + k. Round x to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**2 - 3*u**2 + u**2)*(4*u + 2*u - 3*u)*(0 + 2*u + 0) + 0*u + 0*u - 2*u**4 to x*u + t*u**3 + w*u**2 + s*u**4 + y and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232845859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*c + 4 = -465*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0 - 6. Let i(r) = 7*r**2 + 6*r. Let c(p) = -20*p**2 - 17*p. Suppose 0 = 2*m - 3*t - 31 + 6, 0 = -4*m - 4*t + 80. What is d*c(g) + m*i(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*q + 15, -9*z - 3*z + 4*q = -12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 13*j**2 - 227*j + 743. What is q(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -113 and -1931?\nAnswer: 218203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3251 + 15099 = 4832*g - 73458 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15207809 is divided by 46507.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*l**2 - 572*l - 1421*l**2 + 571*l + 644*l**2.\nAnswer: -181*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -31008*h - 659. Is d(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32705 and 208475?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 p when three letters picked without replacement from pqoxpmz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 3*r**2 + 6*r - 2. Let b be z(4). Suppose 2*c - b*c + 1040 = 0. Does 12 divide c\/(-8)*-2 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*n - 1041*n + 72 = -519*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkckkk. Give prob of sequence kc.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.4 (b) -51128 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + -16. Let g = c - -31. What is the remainder when g is divided by (9\/(-6))\/(1\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.23 - 4.53. Let m = y + -41. Which is the closest to m? (a) 1\/5 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 185909176 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -1\/4031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from bmvuniu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 4*k + 2. Let h(c) = 2*c**2 + 5*c + 1. Calculate 2*h(y) - 3*v(y).\nAnswer: y**2 - 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*x**3\/5 + 2287*x**2\/5 + 3083*x\/5 + 162.\nAnswer: (x + 1)*(x + 162)*(14*x + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-20))\/(7\/(140\/8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(245))**2 - sqrt(245))*4.\nAnswer: 28*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 419 + -890?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) -445288 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142732 divided by 285683?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/51)\/(69\/1173)*(-87)\/12?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t + 13*t - 8*t)*(-7 - 8 + 4 + (0 + 0 - 1)*(-2 - 3 + 7)) to the form n + c*t and give c.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:19 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3543*o**2 + 3430*o**6 - 3*o - 1347*o**2 - 306*o**2 - 582*o**2 + 0*o wrt o.\nAnswer: 411600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 65, 197, 355, 551, 797?\n\"Answer: 2*f**3 + f**2 + 115*f - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7236)\/(-7) - (-8)\/28. Suppose i = 3*t - t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25739 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 233407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.596843 rounded to two decimal places?\nAnswer: 224.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + b**2. Let s(k) = 2*k**3 + k**2 - k + 2. Let i = -4 - -3. Let p(f) = i*l(f) - s(f). Let y be p(-3). Solve y - 2 = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*-1*1\/(-1). Suppose -l*p + 30 = -p. Let n(m) = m**2 - 5*m + 5. Is n(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-7)*76\/(-15960)*-168?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144618 divided by 8.\nAnswer: -72309\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -49.\nAnswer: -5\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29924571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -320220000 rounded to the nearest one million?\nAnswer: -320000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*d*n**3 - d*n + 61*n**3 - 1113*n wrt n?\nAnswer: -198*d*n + 366*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3945, 3954, 3985, 4050, 4161, 4330, 4569, 4890?\n\"Answer: 2*z**3 - z**2 - 2*z + 3946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 6*g**2 + 3*g + 5. Let x be d(-5). Let y = -11 + x. Suppose -4*j = 3*r - 161, -y*r + 238 - 10 = 2*j. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.69 - 1.69. Suppose -5*s = -s - 68. Suppose 3*w - 47 = -s. What is the closest to n in -1\/3, 3, w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*q**2 + 2*q**2 + 30*q**2 + 33*q**2 to the form h + v*q**2 + f*q and give v.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*y - 41931 + 12386, 3*z + 4*y - 29515 = 0. List the prime factors of z.\nAnswer: 5, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 13 - (-126 - -109).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6156 is divided by 206?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -0*x + 2*x - l, -4*l + 36 = 2*x. Let h be (x\/3)\/(2\/4788). Suppose y + h = 5*y + 4*w, 4*y = w + 15935. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237076*k + 56 = 2*c + 237074*k, -8*k = c + 224 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 54. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/8 - 3\/8. Let p(r) be the second derivative of 0 + 0*r**4 + t*r**3 + 3\/20*r**5 + 2*r + 0*r**2. Find the second derivative of p(m) wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence noo when three letters picked without replacement from {n: 9, o: 7}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 2*u + 2*u + (1 - 6 + 3)*(-1 + 1 - 2*u) - u - u + u - 209 + 415 - 206 - 44*u.\nAnswer: -40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/245*(-14)\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -33, -1\/36, 3?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12621461 - -20?\nAnswer: -12621441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 + -102. Let b be (-198)\/(-10) - (-17)\/o. Solve -2*u + b = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrpwmprfr. Give prob of picking 1 r and 1 m.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2003527.\nAnswer: 883, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 66.52952 micrograms?\nAnswer: 0.00000000006652952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1121 - -1126. Solve 5*k + t = 0, 0 = f + 3*k - 1 + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 125, 126, 129, 134?\n\"Answer: y**2 - 2*y + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -2 - 5 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3048*p**2 - 1448*p + 1.\nAnswer: 6096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1314*p**3 - 1314*p**3 - 17 - 2*p**4 wrt p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 f when three letters picked without replacement from iffifik?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 33*b**2 - 1150*b - 176. What is t(35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/3169405 and -21\/5164?\nAnswer: 12677620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 2105?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/144)\/((-17)\/((-7616)\/(-42))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(8\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z + 5. Let p be w(8). Let b be (-3)\/(-3)*(-10)\/(-10). Suppose b = x, -5*g + 2 - 3 = -x. Solve g = 4*l + 5*h - p, 2*l - 5*l = 5*h - 34 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a day in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5) + (9 - (22 + -14)) + 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-140 - 2) + 10 + -5 + -5. Let m = 427\/3 + x. Which is bigger: 0.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c - 3. Let m(v) = -7*v**2 + 3*v - 2. Let i(s) = b(s) - m(s). Is i(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 2:16 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 9, g: 3, x: 6}. Give prob of sequence xq.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113 - 9.5.\nAnswer: -122.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(99) + -3 + -3 + (-4 + sqrt(1100)*-2 + sqrt(1100) - ((1*sqrt(1100) - sqrt(1100)) + 4))**2.\nAnswer: 163*sqrt(11) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/w**10)\/w))\/w**8)**(-8)*(w**(2\/3)\/w**(4\/11))\/(w\/w**(-2\/13)*(w\/(w**3*w*w))\/w) assuming w is positive.\nAnswer: w**(-8516\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2079*y + 100 = 2075*y for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34452200 rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -373 or 1806?\nAnswer: 1806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*a + 12, -5*u = -a - 2*a + 9. Suppose u = 7*v + 5*v - 852. What is the remainder when v is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 8:12 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + -6 - 12 - (68 - 56)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 10 = 3*f. Let w(r) = 4*r**2 - r - 1. Let t(x) = -x. Let s(q) = -4*t(q) + 2*w(q). What is the least common multiple of 12 and s(f)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u**2 + 161*u**3 - 575*u**3 + 411*u**3 + 11*u**2 + 16*u**2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.735, -4\/3, -0.2, 3 in ascending order.\nAnswer: -4\/3, -0.735, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + d = 69, -125 = 5*o - 4*d - 10. What is the closest to 1 in o, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15045417 + -0.4.\nAnswer: 15045416.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 5*l + 5. Let b be i(5). Suppose -6*x = -2*x - 3*c - 59, -71 = -b*x + c. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v = -4*p + 41, -3*v = 5*p - 4. Let n = -6 - 2. Is v greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 8:05 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + (6 - -2 - 28) + 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2700 and 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (1 - (6 - 5)) + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(242) - (-2 + sqrt(242))) + -4 + (sqrt(18) - (sqrt(108)*-2)\/sqrt(6))\/(sqrt(9) - sqrt(225)*-6).\nAnswer: -16 + 3*sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -36. Solve 2*p - b = p - y, -p + 5*b + 5 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-9)\/(-15)*-3. Let b = 255 - 3317\/13. What is the biggest value in s, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*l - 0*l. Let t be (0 - 0)*l\/(-6). Solve d + 6 = 2*n - t*d, -d - 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/9 - 68*z**3\/3 + 9662*z**2\/9 + 1096*z = 0 for z.\nAnswer: -137, -1, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - a - 2*a)*(-3 + 1 - 6)*(2*a + 2*a + 3*a) to x*a + p + m*a**2 and give m.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 269, 580, 1015, 1574?\nAnswer: 2257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 23. Solve -m - 4 = -g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 322*x + 1. Is w(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*a - 11 = 0, -4*p = -2*p + p + 5*a - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237985170.\nAnswer: 2, 3, 5, 7932839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1734\/17*4\/(-12)*2\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z**3 - z**2 + 1. Let a be (-690)\/460*(0 + 3)*2\/9. Give y(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6899 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1087, -1090, -1093, -1096, -1099, -1102?\n\"Answer: -3*m - 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmi when three letters picked without replacement from thmhi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/24 - 1\/24. Let o = -9185\/3 + 3062. Suppose -1\/3 - 2\/3*k**3 + 0*k**4 + 1\/2*k + o*k**2 + d*k**5 = 0. Calculate k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v**3 - 3*v**2. Let k(d) = d**3 + d + 1. Let c(g) = 23*g**3 + 7*g**2 + 2*g + 2. Let x(r) = c(r) - 2*k(r). Calculate 7*h(o) + 3*x(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 3*q**5\/5 + 13*q**4\/4 - q**2 - 96. What is the second derivative of m(n) wrt n?\nAnswer: 36*n**2 + 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o + 61. Let k be p(-5). Does 13 divide k*(-3 + -3 + 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/10471?\nAnswer: -2\/10471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*(-y**4 + y**4 - 2*y**4) + 4 + 18*y + y**4 - 18*y in the form r*y**4 + c*y**2 + i*y + w + t*y**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 759 in -262, 0.2, -2\/5, 10, -1\/6, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 4320.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1561671.\nAnswer: 3, 17, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2882 = 2*d, 16*d - 13*d + 1943 = 2*k. Calculate the remainder when k is divided by 170.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 0)\/(44\/(-33)). Let c be (-15)\/b - 77\/(-14). Factor c*p**2 - 5\/2*p + 0.\nAnswer: p*(p - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 + 6 = 0. Let c = d - -1. Suppose -c = -5*b + 6. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66302\/3 + 22777. Let w = -685 + b. Calculate the common denominator of -15\/2 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185981953?\nAnswer: 185981953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6123 + -6113. Let y(v) = -3*v + 32. Calculate y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17565 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/9 less than 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4150*l**3 + 2*l**2 + 3*l + 2. Is d(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -246*k**5\/5 + 3*k**2\/2 + 129*k + 298. Differentiate d(p) with respect to p.\nAnswer: -984*p**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 0, 73 in descending order.\nAnswer: 73, 27, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r - 4*r**2 + 15*r + 5*r**2 + 11*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81768\/5 + 16598. Let v = 243 - t. Calculate the common denominator of (-8)\/108*(1 - -86) and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-42))\/((-9)\/(-3))*-2*(-1)\/(-29)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 0*w**4 + 1 + 0*w - 5\/6*w**6 + 0*w**3 + 0*w**5 + 3\/2*w**2. What is the second derivative of b(c) wrt c?\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (5 - (2 + -2)) - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 + -88. Suppose g = -g + 24. What is the greatest common divisor of g and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 823188, 823189, 823190, 823191?\nAnswer: 823192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1671*i**2*x**2 + 2*i**2*x - 287*i**2 - 6*i*x**2 + 11*i + 2*x**2 + 2*x wrt x.\nAnswer: -3342*i**2 - 12*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-4 + 9)\/(-5). Suppose h = -l - 0*l. Let j(g) = g + 5. Let y be j(l). What is the greatest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-53)\/(-20))\/(2 + 6\/(-4)) and 83\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsg when three letters picked without replacement from adgaaadsaassadaaaad?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 17136 - 17122 = x, u = 1 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 22. Suppose 4*i + i = -n + 4, -2*i - 2 = w*n. What is the tens digit of 32 - (3 - (3 - i))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**3\/2 + 103*q**2\/2 - 101*q = 0.\nAnswer: 0, 2, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 3*p. Let x(m) = 4*m + 4. Let b be x(-4). Let s = b + 25\/2. Which is smaller: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-12) - (-71099)\/588 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f - 49. Give c(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.57 + -9.1. Let o = v - -0.03. Let q = 3 + -2. What is the closest to 1 in -5, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.5 or -152\/241?\nAnswer: -152\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 188\/113 - -4263\/2260. Calculate the common denominator of r and 27\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + ((-1*sqrt(539) + sqrt(539))*-5)**2 + -3*(0 + sqrt(539)))*2*3*1.\nAnswer: -504*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3\/4 (b) 2\/51 (c) -1\/4 (d) -1\/6 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 46.65. Let v = -1.65 - i. What is the second biggest value in 1\/15, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*x + 1018 + 1568, -x = -5*t + 6509. List the prime factors of t.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29976, 4, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 185.84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 305785631158.\nAnswer: -305785631157.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(-u - 2*u**5 + u) + 36*u**5 - 43*u**5 - 157*u**5 + 4*u**5 - 2*u**4 - 3*u**5 - 3*u**5.\nAnswer: -168*u**5 - 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10536.9 less than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 952519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and 1.7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2027.13 * -20\nAnswer: 40542.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3211 or -8551?\nAnswer: -8551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2479*y*z**2 - 4510*y - z wrt z?\nAnswer: -4958*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -202213103 (base 5) in base 11?\nAnswer: -50aa03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42216933 divided by -3?\nAnswer: 14072311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1866754?\nAnswer: 2, 67, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 7*d**2 + 6*d + 8. Determine v(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*h - 752 = 0, 10*h - 9 = 7*h. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**7\/840 + q**6\/60 - q**5\/20 + q**4\/6 + 5*q**3\/6 + 2*q**2. Let i(r) be the first derivative of z(r). Determine i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k - v + 11, 2*v = k - 5. Suppose k*a + n = -2, a - 11 = 3*n - 5. Is a at least -7\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -206496, -413540, -620594, -827664, -1034756, -1241876, -1449030?\n\"Answer: -f**3 + f**2 - 207040*f + 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 m, and 1 n when three letters picked without replacement from {h: 2, c: 4, m: 3, e: 4, n: 3, v: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-182)*(-18312)\/(-13080))\/(2\/(-50)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6071? (a) -4\/5 (b) -1\/2 (c) 7 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 248*k**3 + 8*k**2 - 11*k - 28. Let f(u) = 83*u**3 + 3*u**2 - 4*u - 9. Let c(w) = 11*f(w) - 4*s(w). What is the third derivative of c(q) wrt q?\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766063052 to the power of 1\/2, to the nearest integer?\nAnswer: 27678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 39*s**3 - 11*s**2 - s + 2. What is the remainder when 257 is divided by t(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-3))\/(3492\/(-42777))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -690.369 - -756.42. Let n = l + -66. Round n to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 8:54 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 54 = -3*d - 3*r, -4*r + 12 = 0. Let a be (-5)\/(d\/(-9)) + -3. Solve -2*f = -a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 6*w - 6. Let f(h) = -h + 4. Let j be f(10). Determine c(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u + 27*u + 90 = 0. Let z = 0 - -4. Suppose -5*r - 3*a + 35 = 0, -3*r + a = -3 - z. Sort r, u, 1.\nAnswer: 1, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + o - 8. Let f(r) = -2*r**3 + 43*r**2 + 5*r - 42. What is -f(a) + 5*w(a)?\nAnswer: -3*a**3 - 43*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 10) to base 8\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -5, 877 in increasing order.\nAnswer: -5, 0, 5, 877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4141 is divided by 219.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 59142 (base 11) to base 5\nAnswer: 10212401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 862 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510182 (base 12) to base 3.\nAnswer: 2101021102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 155*v + 4629. Give r(-31).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 18*y**2 - 1\/6*y**4 + 0*y - 4\/3*y**3 + 0. Differentiate l(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {g: 2, l: 3, d: 5, b: 7}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -106, -96, -82, -64, -42?\n\"Answer: 2*z**2 + 4*z - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-24)\/9)*-3*-3. Let s = z + 92. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 4:16 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 47*t**3 - 31*t**3.\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1356013, -1356019, -1356025?\n\"Answer: -6*u - 1356007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 5. Let a be t(-6). Let c be ((-18)\/(-10) - a)*20. Calculate the highest common factor of 32 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103967?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 4\/19, 0, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 - 12 = 0. Let l be (8 - 3)\/5 + 4. Is 14 a factor of ((l - y) + 26)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -24) + 1 + -3 - (-326 + 339)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -30001*z - 9. Let f = 12 + -10. Suppose -2*y + 4*o + 31 = -5*y, f*y + 3*o + 21 = 0. Let r be u(y). Round r to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206 (base 11) to base 7\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - l - 10*l - 42*c - 159 = 0, -4*l - 2*c + 3 = -1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.43 - 8.53. Put -3.1, -2\/3, m, 0 in descending order.\nAnswer: 0, m, -2\/3, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262535509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*m + 2*b + b, 4*m + 11 = b. Suppose 7 = -4*y - 5. Let t be 3 + (m\/y)\/(-1). Solve 6*r - t*r + 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/3*(-1)\/(5\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 256.8159 years?\nAnswer: 0.2568159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 + 524*u\/5 - 224878\/5.\nAnswer: 2*(u - 229)*(u + 491)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-8 + (0 - -12)) - 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.28 + 0.38. Let d be 2\/10*(-5 + 3). What is the third smallest value in q, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 40. Let z = g + -4. What is the tens digit of z\/(1 + 248\/(-252))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k)\/k)**(-21)\/((k**(2\/3)\/k)\/k)**(3\/5)*((k\/((k\/(k**(-1)\/k)*k)\/k)*k)\/k**(2\/11))**46 assuming k is positive.\nAnswer: k**(-2946\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 16. Let y(u) = 3*u + 66. Let p(c) = 11*l(c) - 2*y(c). Give p(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9176*n**4*z - 10112*z wrt n?\nAnswer: -36704*n**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (24015\/5)\/3 - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.288621ms in nanoseconds?\nAnswer: 6288621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhh when three letters picked without replacement from {r: 1, h: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 375, 806, 1329, 1992, 2843?\n\"Answer: 8*k**3 - 2*k**2 + 381*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 - (2 + 2)\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/12 - 2556\/(-432). Solve -39*h = -42*h + s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/20 - 2\/(-5). Is (-444)\/15*(-5)\/b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649406761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -102, 2.\nAnswer: -102, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -3*u**8\/56 + u**4\/6 - 15*u. Find the third derivative of m(k) wrt k.\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.066, 0.2, 2, 1.6, -2110, 4 in descending order.\nAnswer: 4, 2, 1.6, 0.2, 0.066, -2110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amwaeaywaemgwg. Give prob of sequence wewa.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 562281835 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 -q = 5*d - 25, -6 = -4*d + 14. Suppose 5*a - 3*j - 2585 = q, -2*a = 3*a + 4*j - 2585. List the prime factors of a.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2393358 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520 and 208.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -14. Suppose i = 4*y - 3, 3*y - 3*i - 2*i = -h. Solve y = n - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2248 + 1130 - 7*o**3 - 8*o**3 - 3*o**4 + 1088 + 9*o**2 + 39*o = 0 for o.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 28 + 4. Suppose 29 = -3*z - l. Let p(a) = -a**2 + 29 + 37 - 98 + 33 + a. Let k(t) = -6*t**2 + 5*t + 5. Calculate z*p(v) + 3*k(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -0.04 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -11*j + 35, -3*u - 2*j = -13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by -6\nAnswer: 43\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074*c = 1068*c - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2 + 10 = 0. Let x be -8*((w - 1) + -30). Calculate the highest common factor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42458199, 84916397, 127374595, 169832793?\n\"Answer: 42458198*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 5*p - 2. Let v be n(-6). Solve -3 = -g - v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(272)*1 - (3 + -2*sqrt(272)))**2 + -5.\nAnswer: -24*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 227696 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1690 + -966. Suppose -17*c = -19*c - i. What is the hundreds digit of (9\/9)\/((2\/c)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 4152853?\nAnswer: 4152852.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4907*j = -44331 - 15933 + 16101 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 3.1, 8, -5, 3.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -20679\nAnswer: 2\/20679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(14\/(-6)*3). Let j(y) be the second derivative of 3\/2*y**2 - 14*y + m - 1\/6*y**3. Calculate j(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -111. Let c = h + -46. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 5\/6*v**6 - 2*v**2 + 0*v**4 + 0*v**3 + 0*v**5 - 3 + 0*v. Find the second derivative of p(a) wrt a.\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 10. What is the third smallest value in -0.5, a, -5\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2869 and 608.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52\/3 - 17. Let d be (-2)\/3*(-12)\/(-32). Let l(p) = -p**3 + 10*p**2 - 19*p + 21. Let s be l(8). Which is the smallest value? (a) s (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5409609*d + 5477952 wrt d.\nAnswer: 5409609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.22 + -0.52. Let m = -4 - -6. Let n = -73 - -72.96. Put m, x, 0, n in descending order.\nAnswer: m, 0, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l**2 - 16. Let y(i) = -15*i**2 + i + 32. Let z(n) = 13*q(n) + 6*y(n). What are the prime factors of z(-11)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 168 = -24*n. Which is greater: -4 or n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12816 - -6335. Let i = 38767\/6 + a. Find the common denominator of i and -65\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 108 = d - 13, -3*v + d = -71. Let u = -22 + v. Let y(s) = -2*s + 2*s**u + 0*s**2 + 2*s. Let m(j) = -19*j**2. Calculate m(y(o)).\nAnswer: -76*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2*p + 30 = 0, 4*u - 482*p - 39 = -487*p for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -102022?\nAnswer: -102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 16*s - 9*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7 = -41. Let g(y) = y + 1. Let t be g(4). Solve 14 = -t*x + v - w, x = -5*v + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 5*s - 10, -3*s = -748*m + 743*m + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24615492 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -817*a**3 + 11*a**5 + 817*a**3 + (3 - 3*a - 3)*(a**2 - a**2 - 2*a**4).\nAnswer: 17*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = -i. Suppose i*g + 4*x = 12, 0 = -2*g - 5*x + 10 - 1. Solve 0 = g*c - 0 + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 i when four letters picked without replacement from xpipiipxpppxppkixxk?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1289\/6 + 47755\/222. Let y = k + 2\/37. Which is the second smallest value? (a) 0 (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -42. Solve -2*v - u*v = t - 11, -5*t = -v + 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1 - -4) + (-26 - -34).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-3\/19)*u*u*u**(-11)*((u*u*u**(1\/8))\/u)\/u**(1\/7) assuming u is positive.\nAnswer: u**(-7635\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 64*r = 440 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2178 divided by -121?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12507 divided by -12507\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 193105673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96210 and 125073.\nAnswer: 1250730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 13 (b) 37 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3584.43717 rounded to the nearest 10?\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2869?\nAnswer: 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 188 = -164 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 2, -0.19, -58?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujq when three letters picked without replacement from {u: 11, c: 1, k: 1, j: 4, q: 2}.\nAnswer: 44\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) - sqrt(800)*-2)*2 + sqrt(800) + (sqrt(800)*2 + sqrt(800))*-3)**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 160636798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 502219?\nAnswer: 502219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221232020 (base 4) to base 13.\nAnswer: 122142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2096 + 1324. Let j be (-15*m\/9)\/((-2)\/6). Round j to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -615\/537764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -278 + 613. Is u <= 335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**3\/3 - q**2\/2 - 9*q - 73. Let i be r(4). Solve 4*w + 16 = 2*y, 5*w + i*y + 17 = -3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*i - 2 = 0, 4*i = 4*c - 2 + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -202019 or -202020?\nAnswer: -202020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, 129, 5 in decreasing order.\nAnswer: 129, 7, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 40, 106, 202?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*l - 0*l - 47, -l = -1. Let w = 4858\/5 + -53693\/55. What is the common denominator of w and 70\/(-266)*(-42)\/q*-2?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((3 - (-5 - -5)) + -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -265 - 330476?\nAnswer: -330763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Let q = 71614821\/721 + -297982\/3. Let w = q + 7\/103. Is r < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4678*n**5 - 3597*n - 594*n**2 + 1185*n**2 - 591*n**2 + 512*n**5 wrt n?\nAnswer: -83320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1175 is divided by 148.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34031426?\nAnswer: 2, 11, 13, 257, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 58069 = -2*q + g, 6*g = 4*q - 46428. Calculate the greatest common factor of 237 and q.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(16\/(-10))\/(-4)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -80, -105, -112, -95?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3045 and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**2 + 222254173*i + 86346189?\nAnswer: 2*i + 222254173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2579 (b) 2 (c) 0.3 (d) 366\/11 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + -2*(sqrt(55) + 2*sqrt(55) + sqrt(55)))\/(3*sqrt(396)) + 2.\nAnswer: -7*sqrt(5)\/18 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 103 and -395.3.\nAnswer: -40715.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 15*t**3 - 14*t**2 + 10*t - 62. What is the tens digit of h(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.672661 times 30\nAnswer: 290.17983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1238901 to four decimal places.\nAnswer: 0.1239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.966701 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 131060869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 - 6)\/(4\/30). Suppose -653*h + r = -650*h. Solve 0 = -11*t + h*t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2926\nAnswer: 2\/1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*x + 12620 = 12455 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/348409170 and 11\/50?\nAnswer: 1742045850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371*q = 386*q - 2190. Let l = 99 - 11. Let a = q - l. What is the remainder when 115 is divided by a?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.39, -10\/29, 0.6 in ascending order.\nAnswer: -3.39, -10\/29, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*x + 31499982, 0*q + 5*x - 94500014 = 3*q. Let h be (-2)\/(-5) + q\/(-5). Round h to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 13*q - 46. Let b = 57 - 75. Let p be g(b). Is p > 136\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 15*u**3 + 405*u**2 - 910*u - 390. Let n(s) = -s**3 - 29*s**2 + 65*s + 29. Let h(d) = -55*n(d) - 4*t(d). Suppose h(a) = 0. Calculate a.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -133*b + 97902481 - 30752510. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56025006 by 3.\nAnswer: -18675002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29265113 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(4\/2 - 56\/20). Let w = 7 + -2. Solve -r + 14 = w*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76\/3? (a) -188 (b) -1 (c) 0.4 (d) 6 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = -79*h + 585130. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119284476943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2150, 4446, 6764, 9086, 11394?\nAnswer: 13670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999235.\nAnswer: 5, 23, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**8\/56 - g**7\/40 - g**6\/120 - 3*g**3 - 13*g**2. Let s(d) be the first derivative of a(d). Let s(n) = 0. Calculate n.\nAnswer: -1\/2, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0094193851 to four decimal places.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**4\/3 - 7*k**3\/2 - 1515*k**2. Calculate q(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s = -20*s + w + 128, 5*s = -2*w + 356. Solve 22 = -18*l - s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 15*s**2 + 24*s + 181. Let q be z(17). Solve -3*j + 2 = q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*x + 5, 2*x - 1 = w + 2. Suppose 5*r - 2*g = 2*g + 1293, -x*r = 2*g - 510. Suppose 3*j = -q + r, -q + 4*j + 265 = 8. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*t - 35*t + 2*j + 8, 0 = 3*t + 2*j + 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 5*q**2 + 11425*q - 34250. Give s(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1254*t**3 + 266*t**2 + 133*t - 133. Let z(y) = -19*y**3 + 4*y**2 + 2*y - 2. What is 2*x(u) - 133*z(u)?\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 86, 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w - 717 = -881 + 2138. Suppose -q = 2*q + 2*v - 93, -9 = 3*v. Calculate the remainder when w is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = -9*g - 89 + 595. Let y = -10 + 15. Solve -2*k + g = -y*n + k, 0 = n - 5*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24128085 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7672978?\nAnswer: 2, 3836489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -334 - -312. Let p = -4.88 + -0.12. Which is the nearest to o? (a) -1 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -360395*v + 360394. What is o(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21153 (base 9) in base 13?\nAnswer: -6495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 9441*p**2 - 9434*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5777228 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-190)\/(-35) - 6) + (-5 - (-10380)\/1848)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 7*i. Let u = i + 5. Solve u*z = z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94 (base 13) to base 15.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 - -103 - 1 - 1. Suppose u = -15*d + 17*d. What is the highest common factor of 72 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34977527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -71.68\nAnswer: 100.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173.88827 + 0.08827. Which is greater: n or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26977\/86564553 + -7\/19086. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139333 - 99512. What are the prime factors of x?\nAnswer: 39821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1170931337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 156*(1 - 1\/(-3)). Suppose -13*j = 2*j + 75. Is 2\/5 - r\/j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.091 + -4.409. Let j = 3.75 + y. Let t = -0.75595 - j. What is t rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:41 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.1564 and -0.1.\nAnswer: -0.31564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - 11825\/(-220))\/((-23)\/(-12)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*k + 253 - 27 = -774. Solve -15 = -k*v + 45 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 1. Let y(t) = -68*t**2 + t - 3. Let f(s) = -2*k(s) - y(s). Let b be (3\/(-15))\/((-9)\/(-15))*-3. Is 12 a factor of f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 103*z**4\/12 - 131*z**3\/6 + 176*z**2. Is p(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/17, -0.1854, 468?\nAnswer: -0.1854","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905075 is divided by 181015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 13881914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/1*(2 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16093.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56092.\nAnswer: 2, 37, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-2 - -3) + (13 - 12) + -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26073208 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*6*16\/(-20496).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n - 2. Let a be o(-1). Let b be ((-8)\/(-20))\/((-2)\/10). Let q = a + b. Solve k = 3, 2*j - 4*k + 11 - q = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.03 + 0.03. Let i = y - -4. Which is the nearest to -25? (a) i (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.6 in 1\/4, -0.04, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 687 + -689 + (0 - -18).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*f + 94*f - 1760 = -123*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(((r\/(r\/(r*(r*r**(2\/11))\/r)))\/r*r*r)\/r)*r\/r**(2\/5))**(-14)\/((r\/(r**8*r*r))\/r**(7\/4))**(5\/11) assuming r is positive.\nAnswer: r**(-213\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211306392.\nAnswer: 2, 3, 11, 266801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18780096 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15703, 3, -25, -5 in decreasing order.\nAnswer: 3, -5, -25, -15703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {k: 13, n: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 5*u**2 - 5*u + 7. Let l be b(-5). Let r = -30 + l. What is the hundreds digit of 179 + r + (-3)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -11*k. Let w = 1032 + 324. Let o(g) = -w - 6*g + 1356 - 3*g. What is o(s(b))?\nAnswer: 99*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - w. Let t(s) = 4*s**2 - 111*s. Determine 3*h(m) - t(m).\nAnswer: 2*m**2 + 108*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 29*z - 26. Let m be (-4345)\/(-1100) + 1\/20 + -12. Let x(r) = -10*r + 9. Determine m*x(l) - 3*n(l).\nAnswer: -7*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 112*m + 680\/3.\nAnswer: -2*(m - 2)*(m + 170)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4715 is divided by 157.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.06? (a) -3\/2 (b) 6104 (c) 1\/3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -123, -121, -119?\n\"Answer: 2*d - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - v - 3*v = 0, -3*k = -4*v - 4. Let f(h) = 24*h**2 + 50. Let z(y) = 8*y**2 + 17. Let a(w) = k*f(w) + 11*z(w). Differentiate a(n) wrt n.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 770 - 597. What is the derivative of 80*v - 162 + d*v - 24*v wrt v?\nAnswer: 229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5868.032ml to litres.\nAnswer: 5.868032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 57*u**2 - 6*u + 10. Let r be p(2). Suppose v = 3*v - r. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 0 + -5 + (sqrt(637) - (5 + -1 + sqrt(637) + sqrt(637))))**2 + 4.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 12, g: 3}. What is prob of sequence gm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1385 * 16535.\nAnswer: 2290.0975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -0.00595.\nAnswer: -2.00595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 y, and 1 i when three letters picked without replacement from byyyryyriiyllrbll.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 5, 1.9, -2\/11, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 430 + -430.2. Let b = -1190\/11 - -108. Put -4, w, b in increasing order.\nAnswer: -4, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + 4 - (-95 + 112)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-540)\/(-21) - 24)\/((-4)\/(-14)). Let z(h) = 4*h + 3*h**2 - 3*h**2 - h**2 + 2 + 1. Give z(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (558*h**3 + 791137 - 791137)*(-1 - h**2 - 4 + 2).\nAnswer: -558*h**5 - 1674*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273866591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -6. Let d = 2 - k. Suppose d*m - 37 + 7 = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 306 + -2391\/8. Find the common denominator of c and -85\/674.\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + 5510 = 6230 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t + 18. Let x be r(-9). Is 7 a factor of (-70 + x)*210\/(-49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2032\/(-12) + (-2)\/3. Let g = 1 - a. Suppose -4*j - 2*z = -116, z + 3*z = 5*j - g. Solve 7*m - 2*m - 2*f + 20 = 0, 5*f = 3*m + j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968*w + 853*w - 45262 = 2248*w for w.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((56760\/(-385))\/43)\/(-3).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -712, 5, 1 in decreasing order.\nAnswer: 5, 2, 1, -4, -712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, 1\/3, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*s = 4318 - 2302 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43\/231 - -1\/231. Which is the closest to -1\/5? (a) -2 (b) -1\/4 (c) n (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/y**(-1\/3))\/y)**(-24)*(y**(3\/5))**(1\/6))**(2\/15) assuming y is positive.\nAnswer: y**(-319\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 1 - 5, v = 5*o - 18. Solve -2 = -j, 4*z + v*j - 7 - 5 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35745 is divided by 415?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 1225*b**5\/6 - 11029*b**4\/6 + 28211*b**3\/6 - 18467*b**2\/6 + 10*b = 0.\nAnswer: 0, 4\/1225, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 10982.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.4, 0.28, 0.3, -47, 0.185?\nAnswer: 0.185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2140.9 - -2132.021. Let p = -1.08 + -7.72. Let k = d - p. What is k rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let d(o) = -3*o**2 + o. Let k(p) = -270*p**2 + 75*p. Let b(t) = -75*d(t) + k(t). Determine j(b(u)).\nAnswer: -2025*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2880\/840*(-2)\/42)\/(2\/(-7))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-18 - 9) - 1) + (-35 - -20).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276, 585, 960, 1407, 1932, 2541, 3240, 4035?\nAnswer: 4932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4344661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 10*j + 8. Let a be o(9). Suppose -7*h + 68 + 177 = 0. Suppose -8*s + 3*s = h. Put -5, s, a in decreasing order.\nAnswer: a, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51.41 - -0.41. Let d = a + 50.792. Let c = d + 0.2. What is c rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 82 = 18. What is the units digit of (18 - -2) + (d\/(-4) - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (40\/6)\/((-2)\/(-30)). Suppose 3*v = 162 - 78. Suppose -v = -4*o + i. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223965?\nAnswer: 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 21*p - 35. Let m be i(-19). What is the remainder when 152 is divided by 21\/9*(7 + 2 - m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4.734 (b) -1 (c) 3 (d) -1\/8 (e) 1\/3 (f) 13\/6 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -41. Let i(w) be the first derivative of w**2\/2 + 10*w - 12. Give i(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62671300 + -0.9238608.\nAnswer: -62671300.9238608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**(2\/5))\/s)**20*(s*s\/s**(2\/9)*s)**(-37))**(-31) assuming s is positive.\nAnswer: s**(25327\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 3, 2\/17, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/108 and 89\/84.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 2 + q**2 + 3*q + 8*q**3 - 11*q**3. Let j(w) = 2*w**3 - 2*w**2 - 2*w - 2. Let p(x) = 4*f(x) + 5*j(x). Factor p(v).\nAnswer: -2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 27. Let r be v(25). Find the common denominator of -107\/6 and (-35)\/504*(-18 - (0 + r)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8\/5, -0.1, -0.5, 9\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -127 in decreasing order.\nAnswer: 1, 0, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*i = -327*i - 31. Let s be i\/((-1395)\/54)*50\/(-4). Solve -25 = -4*d + d - 5*b, d + 3*b = s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44676 and 11628?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktqktmtkqtkzokktkqqq. Give prob of picking 1 q, 1 o, and 1 m.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 8. Let u be -2 + 5 + -6 + -87. Let f = -631\/7 - u. What is the nearest to 2 in q, 0.13, f?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 12*i - 54. Let b be i\/39 + 4 + (-1962)\/(-78). Sort 1, -4, b in decreasing order.\nAnswer: b, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 4*y - 1 + 7*y. Suppose 2*b + 84 = 5*b. Let o(s) = -s + b - 28. Give -2*o(t) - z(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(3\/(-12)*-1). Suppose f = -3*q - 34, -21 = 4*q + 3*f + 26. Let k = r - q. Calculate the highest common divisor of 6 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 131*s**2 + 20*s + 69. Let z(y) = -66*y**2 - 10*y - 30. Let t(o) = 6*f(o) + 11*z(o). Differentiate t(a) with respect to a.\nAnswer: 120*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l - 6 = -4*p, -9 = -2*p - l. Solve -3*s + 15 = -3*o, p*o - s = o - 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/99 + (-120)\/(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**2. Let n(g) = 7*g + 12. Let q(x) = -2*x. Let b(l) = -7*l - 38. Let i(h) = -b(h) - 6*q(h). Let s(f) = 6*i(f) - 19*n(f). Calculate a(s(y)).\nAnswer: 2166*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9330265 (base 10) to base 8\nAnswer: 43457131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.083 plus -30658941456?\nAnswer: -30658941458.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 1:32 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9487, 15085, 20683, 26281, 31879, 37477?\n\"Answer: 5598*m + 3889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3.4. Let j = 0.4 - w. Let l be 3\/(-7) - (-1)\/1. Which is the nearest to j? (a) l (b) 0 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8694.1 - 8694. Let u = -0.4 + -0.1. Which is the smallest value? (a) 0.5 (b) u (c) 3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -89, -84, -75, -62, -45, -24?\n\"Answer: 2*w**2 - w - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000505118235 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 613 divided by 2?\nAnswer: 613\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 1. What is p(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -5*u**4\/24 + 2*u**3\/3 - 106*u**2. Let i(a) = -a**2 - a + 1. Give -2*i(l) + s(l).\nAnswer: 2*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -274*f - 5. What is the hundreds digit of p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i*i\/(i\/i**(2\/17))*i)*i)))\/(i*i**35*i*i)*i**(-41)*i*(i*i**14)\/i assuming i is positive.\nAnswer: i**(-1090\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1312, -2626, -3940, -5254?\nAnswer: -6568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)\/(f*f**(3\/2)) assuming f is positive.\nAnswer: f**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*h + 7. Let m = -2 - h. Factor -4*t + 4 + m + 2*t**2 - 3.\nAnswer: 2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u + 5. Calculate m(-5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:13 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 1\/6*w**5 - 9*w**2 - 1\/6*w**4 + 0*w**3 + 0*w + 0. What is the second derivative of z(u) wrt u?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1735 and 26719?\nAnswer: 133595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220440 by 602.\nAnswer: 110220\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 + 3. Let u be 62\/(-14) + 3 + 1. Which is the closest to g? (a) u (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + sqrt(242) + 2 + sqrt(242) + -3)*-4.\nAnswer: -132*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 6. Let f be p(4). Let c = 8 + f. Let i = 13 - c. Calculate the remainder when 19 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -56*a + 1. Let b(o) = -112*o + 2. Calculate 3*b(i) - 5*k(i).\nAnswer: -56*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 137, 196, -0.02, 5, 2 in decreasing order.\nAnswer: 196, 137, 5, 2, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*-1 + sqrt(704) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2253 or -0.037?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 5 - 16 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33357\/32 or -1041?\nAnswer: -1041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - s**2 + 9*s + 28. Calculate the remainder when 1 - 1 - 110*-1 is divided by f(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8529*d**2 + 612?\nAnswer: -17058*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - (-427)\/(-21). Let k(o) = -34*o - 344. Let r be k(-10). Calculate the common denominator of (r + (-75)\/x)\/((-2)\/124) and -11\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**4\/12 - 2*j**3\/3 + 2*j**2. Let z = -1 - 1. Let g(m) = -m**2 - m - 2. Let t be g(z). Determine x(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3*x + q**3 - 3340*q**2*x - 11*q**2 - q*x + 916*x - 1212 wrt q?\nAnswer: 12*q*x + 6*q - 6680*x - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4*-18436.823\nAnswer: 73747.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*-2)\/(52\/(-910)). Suppose 5383 + 45682 = u*y. What are the prime factors of y?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07657424 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.17, -2\/3, 12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 865538, 865544, 865550, 865556?\n\"Answer: 6*h + 865532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837 a factor of 5090558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17963 to 3 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -854*f**3 + 11*f**2 - 8*f - 16. Let n be w(-8). What is n rounded to the nearest 10000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 48 = 239. Let i = 45 + d. Solve -2*h + 2 = -i*p - 4*h, -2*p = -4*h - 24 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/7, -6, 0.5, 2\/9, 3\/8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 696 + -696.031. What is the second biggest value in -2, l, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -740.9 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -203081 (base 10) in base 11?\nAnswer: -12963a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3208 - 2518. Calculate the highest common factor of i and 6670.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43174, 43189, 43216, 43255?\n\"Answer: 6*w**2 - 3*w + 43171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -313116?\nAnswer: 313111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhtoihnoihtvohvthttt. Give prob of picking 1 h, 1 i, and 1 t.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-147)*(-105)\/72*48\/(-120)?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwkw when four letters picked without replacement from {w: 13, k: 3}.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8137*l + 8140. Determine u(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1443, -5854, -13205, -23496?\n\"Answer: -1470*a**2 - a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 884834501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 - -68. Let n be 18\/(-3)*2\/(-4). Suppose 4*c - 35 = -3*m, -m + 5*c = n*m - 26. Calculate the least common multiple of z and m.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1208626, 2417669, 3626710, 4835749, 6044786?\nAnswer: 7253821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5\/2, 1.1, -4, -8?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jill when four letters picked without replacement from ljliijjjjjjjjjj?\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/9 and 131\/1440?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/(-741))\/(4\/26*-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 5. Let j(t) = -t - 2. Suppose -4 - 1 = 2*a - o, 4*a - 15 = -3*o. Suppose 2*v + 24 = 4*b, -2*v - 6 = -b - a*v. Determine b*l(w) + 15*j(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0 - 3. What is the second derivative of -1 - 11*c - 3*c**3 + 13*c + h wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -198, -314, -416, -498, -554?\n\"Answer: l**3 + l**2 - 126*l - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -5*a**3\/3 - 1340. Let t(u) = -272*u. What is k(t(v))?\nAnswer: -369920*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 5864.964.\nAnswer: -1759.4892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 1:29 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*j + 2. Suppose 0*h + 3*h = 30. Suppose -x - h = -6*x. Which is the second biggest value? (a) 5 (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*r + f - 14, -f + 7 = 5*r. Suppose -2*o + r*u = -2, -3*o + 7*o = -u + 14. Solve 3 + 6 = o*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*u - 21. Suppose 5*w - b - 14 = 0, -4*b = -w + 11 + 7. What is the third derivative of -2*o**3 + 3*o**3 - u*o**3 - 3*o**w - 3*o**2 wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q + 2. Let g = -4 + -2. Let w(v) be the first derivative of 3*v**2 - 2*v + 2. Calculate g*w(x) - 5*f(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(sqrt(468) + -1))**2.\nAnswer: -300*sqrt(13) + 11723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus 1661.0274?\nAnswer: -1660.9974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 37 = 2*t, -15*m + 13*m - 9 = -5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14 - 35) + 26 + 7*1. Solve -68*y - g = -56*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*w + 26. Which is the smallest value? (a) w (b) 1 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 752\/240 - (2 - -1). What is the closest to 1\/4 in 1, 1.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*x - 51 + 2 = 0, 4*u - 196 = -2*x. Let j = 52 - u. Solve -j*m - 8 = -7*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 68?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1418025 and 153997515?\nAnswer: 769987575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - g**2 - g + g**4 + 8 + 4 as i*g + p*g**4 + v*g**2 + r + d*g**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.2, 0.4, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 143976 and 12813864.\nAnswer: 12813864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 1.4, 0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -84, -1, 3?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-9)\/(-108) - 5. Which is the closest to 0.1? (a) 13 (b) z (c) 2\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*i = -61*i - 80. Solve 101 = i*t + 69 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4408451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67565 is divided by 4504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1800 and 2858850?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 926754.6cm in millimeters?\nAnswer: 9267546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6436360*h**2 - 7032939 wrt h.\nAnswer: -12872720*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 34*h**2 + 208*h - 12. What is u(-19)?\nAnswer: 1451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1684197 is divided by 168?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -79*b + 102*b. Is -74.3 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*182.257\nAnswer: 7.29028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*x + 178 = 487 + 106 + 7085 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.98 - -6.32. Let p = g - 7. Sort 5, 0.5, p in ascending order.\nAnswer: p, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4026 and 26586.\nAnswer: 17839206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -44257 * 38\nAnswer: -1681766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*n - 24, t = 3*n - 4*t + 6. Solve i - 2*u = 10, 2*i - n*i - 5 = u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/(432\/186). Let m = v - -1\/27. Suppose -4*h = -4*t + 4, 12*t - 17*t = -4*h - 3. What is the closest to t in m, 4, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/464 and 11\/11020.\nAnswer: 44080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -4, -0.573, -3?\nAnswer: -0.573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -15, 0, 70.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 67*q**2 - 4*q + 35234. What is the tens digit of t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -55.82.\nAnswer: 50.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.8139t to micrograms.\nAnswer: 31813900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6067 - -114?\nAnswer: 6182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 197095.93 rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2986 or 11949\/4?\nAnswer: 11949\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + f - 66 = 0, 6713 - 6892 = z - 4*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 11153 = -5*s, -87*s - 4*d = -88*s + 2249. Put 3, s, -1 in increasing order.\nAnswer: -1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 89 + 684 = 0. Let i = s - -471\/4. Which is the third biggest value? (a) 2\/5 (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/1064 (b) -1\/2 (c) -0.2 (d) 0.2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*h**3 - 89 + 14*h**2 + h + 87 + 194*h**3 in the form q*h**2 + u*h**3 + x*h + k and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (-2 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 23 + 19. Solve -a*w - 4 - 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2538, -10155, -22860, -40665, -63582, -91623?\n\"Answer: -2*q**3 - 2532*q**2 - 7*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 283 + -157. Let r be 8\/(1\/(-61)*-2). Suppose 0 = q + 3*q + 4*u - r, 2*q + 3*u = m. What is the greatest common divisor of q and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h = 99*h - 116720. Calculate the remainder when h is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/145)\/((-2)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9852069.\nAnswer: 3, 3284023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 6*w**3 - 11*w**3 + 0*w**3 - 112 - 12*w**2 + 96*w + w**3 = 0?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 13\/3)*1 + (-138)\/(-414)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33032518 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 14) to base 11\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, p: 5, s: 3}. Give prob of sequence spp.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by (-20 + 21)\/(3\/141)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-7) - 971568\/(-16). What is w rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 1118, -5 in descending order.\nAnswer: 1118, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -23.266.\nAnswer: -9.3064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4 + 63*x**3 - 201*x**2 - 63*x + 204 = 0.\nAnswer: -1, 1, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11366 (b) 215 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 25100000*l**3 + 2*l**2 - 2*l. Suppose -7 = -8*w + 1. Let o be k(w). What is o rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9192177 micrometers in kilometers?\nAnswer: 0.0000000009192177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**5\/20 + o**4\/4 - 2*o**3\/3 + 5*o**2\/2 + 2*o + 1458. Calculate d(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2719 = 5*x + 2*j, -3*j = 17*x - 12*x - 2721. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 a factor of 4700424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 987889.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1)\/i)**(-11)*(i*i**0\/i)**(-1\/60))\/((i**(1\/4))**(-1\/12)*(i\/i**(1\/4))**(7\/2)) assuming i is positive.\nAnswer: i**(403\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**4 - 10*c**3 - c**2 - 3535*c + 415572?\nAnswer: -8*c**3 - 30*c**2 - 2*c - 3535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 6*w - 3. Let u be y(4). Suppose -5 = -2*x + 7. Let m = x - 4. Solve 0 = m*b, -3*t + 2*t - b = -u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-7 + -4 + 6 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-25))\/((-14)\/70)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 3*v - 2*w - 152 + 117, -4*v - 6*w - 100 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 51 = l + 72, 0 = -16*n + 14*n + 3*l + 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 278864 or 278555?\nAnswer: 278555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 3*v**2 + 2*v. Let t(x) = -3*x**3 + 7*x**2 + 4*x + 1. Let r(l) = 2*t(l) - 5*w(l). Let j = 5566 + -5564. Give r(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 142*z + 924.\nAnswer: -2*(z - 6)*(z + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 p when four letters picked without replacement from peeppespseppeseseee.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -224569 or -224572?\nAnswer: -224569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 1.9. What is the second biggest value in -0.3, f, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960782859 is divided by 184?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3983 rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11722 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305687522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 1. Let i be b(2). Let s(a) = 61*a + 4 - 30*a + 0 - 32*a. Give s(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k**(-25)*k)\/k)\/k)**(-2\/5))**(2\/9))**(2\/165) assuming k is positive.\nAnswer: k**(208\/7425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5589\/55890*(-330)\/(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p**2 + 0*p**3 - 5*p**2 + 2*p**2 + 2 - p**3 - 10*p. Let d be h(-10). Suppose -d*j - 16 + 46 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 113*s + 1. Let i(d) = -5*d. Give -2*b(c) - 18*i(c).\nAnswer: -136*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnllnvnwn. What is prob of sequence nn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.08385598*3\nAnswer: -0.25156794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-6))\/(-1))\/(73067\/(-14142)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - (1 + 3) - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 7*z**2 - 4*z + 32. Let v be i(-8). Let x(f) = -f**3 - 2*f + 1735. Is x(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*c + 535 - 154, 4*s + 367 = 3*c. Suppose -4*o + c = -19. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109.5524g to micrograms.\nAnswer: 109552400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 2:52 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 89\/((-6)\/(-609)*((-21)\/(-8))\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 20*j - 1. Let v be n(9). Let t = v + -64. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57990, 116079, 174168, 232257, 290346?\nAnswer: 348435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a4a2 - 19?\nAnswer: -a510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 101220 (base 3) to base 14\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 228, 221, 226, 249, 296, 373, 486?\n\"Answer: c**3 - 14*c + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 6 - (1 + 1). Let u be 3\/((-3)\/(-5)) - (j + -1). Suppose -1765 - 4079 = -u*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 + 1649. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231290 divided by 118\nAnswer: -115645\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*a - 12 = -211, 2*w + 4*a = 382. List the prime factors of w.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155645302 to the power of 1\/2, to the nearest integer?\nAnswer: 46429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 2*b = 2*v - 4, 2 = -v + b. Suppose 0 = -m - n, -m - n - 4*n - 8 = v. Solve -10 = 4*u - m*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -209*j**3 + 2*j - 1. Let n be c(1). Let u be n\/(-6) - (-3)\/9. Solve 0 = 8*b - 4*b - 5*z + u, b = 3*z - 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/2, -6199, -0.02, 4 in descending order.\nAnswer: 4, 1\/2, -0.02, -4, -6199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/38 - 67\/570. Let q(w) be the second derivative of -1\/6*w**3 + 0*w**2 + 0 + r*w**6 + 0*w**4 + 0*w**5 - 2*w. Find the second derivative of q(n) wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 2. Suppose -5*p = -4*b + 2*b + 48, -u*p - 33 = 3*b. List the prime factors of 2 - ((2 - 0) + p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*y + 10*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 10*p**2 - 8*p + 12. Let h be f(9). Let b be (36\/h)\/((-4)\/(-14)). Suppose -g + 2*i = -b*g + 271, -g - 5*i + 68 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1710, -1721, -1734, -1749, -1766, -1785, -1806?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001591721 rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*v - 2*p, -3*v + 5*p - 6 + 3 = 0. Let q be ((-209)\/(-22))\/(v\/(-2)). Calculate the greatest common divisor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 5:04 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**2. Let t(m) be the third derivative of m**5\/60 - 6*m**2 + 13*m. Give t(n(j)).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 0, 2, 3, 603 in descending order.\nAnswer: 603, 30, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90361, 361450, 813265, 1445806, 2259073, 3253066?\nAnswer: 4427785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-12)*1 + 86\/8. Let b(k) = 3*k - j + 9 + k**2 - 2*k**2 - 2*k**2. Calculate b(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/20 and -73\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -27*q**5 + 6*q**4 + 2727*q**3 - 7410*q**2 - 7992*q + 2112 = 0.\nAnswer: -11, -1, 2\/9, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 = -1. Suppose -3*q - w*d = -261, 7*q - 265 = 4*q + d. Find the common denominator of 6\/24 - (-378)\/q and 24\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 1 - (-7 + 51 - 36)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(3*-3*(-5)\/(-15)). Solve u = 4*p - q - 1, 6*p - 2*p - 10 = -2*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 7*q**2 - 13*q - 20. Let l be j(-5). Let w be (7 - (-29)\/l) + (-36)\/30. Solve -4\/3*z**4 - 1\/3*z**5 + 4\/3*z + 4\/3*z**2 + w - z**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/8)\/((-67)\/(-268)). Find d such that -3\/2*d**2 + s*d - 3\/2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 28*g - 51. Let t be d(2). Suppose 5*v - 6 = 4. Let l(z) = -4*z - 2. Let j be l(-4). Solve -t*y - 4*x + 2*x = -j, x + 11 = v*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y = 5*d + 35*y - 11016, 12 = -3*y. What is the smallest common multiple of d and 5?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**7)\/((d\/((d*d*d\/(d**0*d)*d*d)\/d))\/d*d*d))**(5\/11) assuming d is positive.\nAnswer: d**(-25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 63, 5, -6, 225 in increasing order.\nAnswer: -6, -4, 5, 11, 63, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1121366585 to the nearest integer?\nAnswer: 33487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.9 + -33.3. Let j = -3 - 0. Let x = 0.27 - 0.07. What is the third smallest value in s, x, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 1000 - 92. Suppose z*t - 2 = 155*t. What is u in 2\/15*u + 0 - 2\/3*u**t = 0?\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -11*u - 6. Suppose 0 = -4*d - 16, i + i - 4*d = 4. Let z be m(i). Differentiate 4*g**2 + 7*g**2 - 74 + z with respect to g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -33, -63, -105, -159, -225, -303?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j**(2\/7)*j*j)*j*j)**(-2\/13)*j**(2\/9)*(j*(j**(-4)*j)\/j)\/j*j**(-1)*j*j*j*j*j\/j**(2\/7)*j*j*j*j**(-4)*j**(5\/4)\/j assuming j is positive.\nAnswer: j**(-3025\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 829900 to the power of 1\/2, to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 208*u - 312. Is 107 a factor of c(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x - 4*x + 6*x + (0 + 4 + 0)*(-x + x - 2*x).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from kjc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19577*k - 19973*k + 39547*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, o: 3, y: 2, t: 4, k: 7, b: 1}. What is prob of sequence by?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 650777 - 521*o**2 + o + 650774 in the form a*o + m + c*o**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1462*h**3*k**3 + 19*h**2*k**2 - 24*h*k**3 wrt h.\nAnswer: -8772*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 27121.51 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 38. Suppose 2*x - 2*d = -0*d + 172, -d + 430 = u*x. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294b (base 12) in base 9?\nAnswer: -6535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 14 + 6 = 0. Suppose -2*t = -u*t. Factor k**3 + k**2 - k**2 + k**2 + t*k**2.\nAnswer: k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 18 = 0. Let g(k) = -6*k - 4. Let o be g(-1). Solve d - o = -q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476409 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: Is 875117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-94 - -102 - (-2 - -9)) + 0\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 23. Suppose -o*y + 20 = -6*y. Sort y, 11, 3 in increasing order.\nAnswer: 3, y, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4722 + 7979 - 224*p**3 - 3257.\nAnswer: -224*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, o: 1, s: 2, i: 1, v: 1, f: 2}. What is prob of picking 1 o and 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5765 - 5637 - 202*o + 14*o - 6*o**2.\nAnswer: -2*(o + 32)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.0472289*-3.\nAnswer: 6.1416867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 88368*m**2 + 93336?\nAnswer: 176736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from qpppqqp?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896428?\nAnswer: 2, 13, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 65395*p**3 - 65399*p**3 - 48*p**2 - 4*p**2 - p as t + x*p**2 + w*p + o*p**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 6*r - 67 = -10. Solve -4*b + 119 = -3*q + 96, -1 = -q - r*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340394.4 months to decades.\nAnswer: 2836.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 528250188 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 33, -1\/58267, -1?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a - 74. Let v = -767 - -773. What is d(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 67510 = 31209. Calculate the remainder when p is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 13134462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -19. Let b(s) = -s**2 - 28*s - 67. Calculate the remainder when b(-23) is divided by (u\/(-4))\/(8\/400).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 990110 is divided by 135?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 222384987947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/28 - (-74)\/(-14). Let z = g - -7. Find the third derivative of f**3 - 2*f**4 + f**z - f**3 wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + r**2 + 4*r + 62. What is the units digit of o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7264\/(-2) + 6)\/(0 + 16\/(-24)). Calculate the greatest common divisor of 555 and d.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 640 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngmnnxx. Give prob of picking 1 m and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4797157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 5:35 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139.64718ns to minutes.\nAnswer: 0.000000002327453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen tenths of a week?\nAnswer: 17136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -194691 (base 12) in base 2?\nAnswer: -1101100001111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-4))\/(1\/10). Let p(m) = m**3 + 5*m**2 + 4*m + 2. Let t = 11 + -15. Let j be p(t). Solve j*b - n = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/((-4)\/(-2)) + 2. Let r(l) = -6*l + f*l + 8*l. Let a(d) be the second derivative of d**3\/6 - 1285*d. Give a(r(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4 + 1952*h**3 + 3910*h**2 + 1956*h = 0.\nAnswer: -1, 0, 978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*k + 33998 - 31930 = 0 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*q - 42*q - 15*q - 190.\nAnswer: 32*q - 190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 8*n + 9*n. Suppose -12*i - 5 = -4*w - n*i, -5 = -i. Solve y = 2*y + w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 245 + (1 - -1). Let f = m + -229. Calculate the remainder when 29 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86107 is divided by 40.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170\/(-1020) + (7293748\/(-24))\/(-7)?\nAnswer: 5, 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -75 + 7 + 93.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 261*l - 312. Let h(m) = -37*m + 43. Calculate 15*h(c) + 2*o(c).\nAnswer: -33*c + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 + f - 1. Let q be l(1). Suppose -12 - 13 = -q*m. Solve -4*n + m*g + 9 = -0*n, 5*n - 2 = -3*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1169 + -677. Suppose h = 4*v + 4*j, 5*v = 2*j + 347 + 233. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 208*j**2 + 6*j - 6. Let r(z) = 63023*z**2 + 1819*z - 1819. Let m(i) = -6*r(i) + 1819*t(i). Let w(n) = 44743224 - n**2 - 44743224. Determine w(m(l)).\nAnswer: -45796*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.644949 rounded to 2 decimal places?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 17, 0.7, 388221?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/7, -4, 189 in ascending order.\nAnswer: -4, 2\/7, 2, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16*(1 - 1\/2) and 2\/3 + 114\/18?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2 = k. Let d = 7 - 7. Let y = -0.2 - d. Are y and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**3 + 9*b**2\/2 - 6*b + 99. Factor k(a).\nAnswer: -3*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1351*m**2 - 9*m + 1592545 wrt m.\nAnswer: 2702*m - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*j**2 + 44*j**2 - 139*j**2 + 28*j**2 + 52*j**2.\nAnswer: 37*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 6*w**3 + 3*w + 2*w**3.\nAnswer: -6*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139610136 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 63*v + 33. Let h(a) = 125*a + 57. What is -4*h(s) + 7*q(s)?\nAnswer: -59*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-80)\/(-4))\/(4\/2). Suppose 5*l = q + 2, 0 = 4*q - 5*l + z - 2. Let n = q + 8. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Suppose 10*v + 11*v = -v. Find the first derivative of a + g + 2 + 0 + v*g wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 46\/5 of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 4?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*f + 136*f - 16626 = 738*f - 176*f for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 6) in base 4?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 1 = 2*z, -5*i - 4 = z - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9137 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 59*o**5 + 17*o**4\/4 + 6*o + 51. Find the third derivative of d(t) wrt t.\nAnswer: 7080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 8*v**2 + 2*v + 11. Let p be r(-8). Let t be (-998)\/p - (-2 + 3). Let w = 198 - t. Which is the second smallest value? (a) 0.2 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9 - -3.9. What is the nearest to b in 3, -2\/13, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678*r**2 - 1331*r**2 + 661*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*v**3 - 69*v**3 - 77*v**3 - 57*v**3 + 301*v**3.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1256643328 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q**2 - 8*q - 3. Let d be h(-6). Let a = d - -7743\/20. Calculate the common denominator of a and 1026\/180*40\/24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 r, and 1 b when three letters picked without replacement from {b: 1, v: 1, r: 2, o: 1, a: 1, q: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*n + 3. Suppose c + 2 = 3*g + g, -n*c + 39 = -3*g. What is the smallest common multiple of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1594 at most -1593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 155, -14?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 11*j + 10*j - 19*j. Let g(u) = -7*u**2 + 13*u + 13. Let o(n) = 3*n**2 - 6*n - 6. Let l(h) = -6*g(h) - 13*o(h). Calculate l(c(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 294?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -23*v**2 - v - 34. Calculate a(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-113*h**4 + 15*h**4 - 62*h**4)*(-4 + 1 + 0) + 22*h**4 + 2*h**2 + 0*h**2 - 33*h**4 as s*h + r*h**4 + m*h**2 + q + t*h**3 and give r.\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*a + 28 = 0, -m - a - a = 11. What is the remainder when 204 is divided by 82\/(-12)*m*(-3 + 5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**2\/2 + 467436*q - 2804607\/2 = 0.\nAnswer: 3, 934869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 62\/7565 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2037*b + 93. Let r(l) = 2037*l - 95. Let q(c) = -2*r(c) - 3*y(c). Is q(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**2 + 6*r + 2. Let i be m(-5). Suppose 2*u + 24 = 7*u + w, -2*u = 2*w - i. Put u, 0.3, 0 in ascending order.\nAnswer: 0, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 37. Let t be (-4)\/d + (-17)\/(-3). What is the third derivative of -420*c**3 + 4*c**t - 22*c**2 + 420*c**3 wrt c?\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 = 0, -y + 8 = 3*d - 9. Suppose -2*o + 6*o - 60 = 0. Calculate the remainder when o is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 24.099. Let d = x + -0.001. Are d and 0.083 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 16 = -2*t. Calculate the remainder when t is divided by 27\/(-6)*(-5 + 3)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = a + 2*p - 28, 103 = 3*a + 4*p. What is the greatest common factor of a and 825?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5880013053.\nAnswer: 3, 167, 1297, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6}. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -51. Let w be v\/(-7) + 2\/7. Suppose 5 = 5*d - w. Let j(l) = l**3 - 2*l**2 + 2*l - 2. What is j(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 6. Let a(x) = x - 10. Let w be a(14). Let u be h(w). Suppose -6 = -3*d - u*j, 0 = 4*d - 0*j + 4*j - 12. Solve -4*s - 4 + d = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000920826163 to seven dps.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 5*f**3 + 20 + 6*f**3 - 2*f**2 - f + 16 - 3 to d + k*f**2 + q*f + b*f**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**25)**(-14\/3)\/(((z*z**(-1\/3))\/z)**(-1\/19)*(z*z**(-2\/7))**37) assuming z is positive.\nAnswer: z**(-103652\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -43*g**2 + 75*g + 5. Let v(p) = 88*p**2 - 126*p - 11. Let x(b) = 5*c(b) + 3*v(b). Let a(l) = 2*l. Determine x(a(d)).\nAnswer: 196*d**2 - 6*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4 + l - 1 + 7 + l. Let w(y) = y + 1. Give 2*j(d) - 5*w(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 59. Suppose c = 3*i + i + 84. Is i at least as big as -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n**2 + 9*n + 2. Let a be i(4). What is the smallest common multiple of (-36)\/126 - a\/7 and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*a**3*s**2 + 5*a**3*s + 11*a*s wrt s?\nAnswer: 54*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {r: 1, g: 2, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, 375, 1295, 3061, 5955, 10259?\n\"Answer: 47*r**3 + 27*r - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-328)\/34 + (-73)\/365 + 102\/10.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 442451?\nAnswer: -442452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 216.29*-5\nAnswer: -1081.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47, -458, -1669, -4112, -8219, -14422?\n\"Answer: -72*k**3 + 32*k**2 - 3*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**3 - 3*c**2 + 5*c - 3. What are the prime factors of t(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i\/i**(2\/7)))))**(-1\/12)*i**(2\/13)*i*i**(2\/11)*i*i assuming i is positive.\nAnswer: i**(19891\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126147.\nAnswer: 3, 7, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 4*l - 4. Let q be a(4). Let h(w) = w**2 + 2. What is the remainder when 53 is divided by h(q)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2578673?\nAnswer: 31, 193, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 245230 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 5. Determine p(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1053) + 0 + sqrt(1053))**2.\nAnswer: -36*sqrt(13) + 4213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61045632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18185573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 6.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - -1*(3 - 3). Suppose n*d + 3 = -2. Let c be (6\/8)\/(1*-3). Is d at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j + 4*u + 6 = 0, j - 3*u = 8. Put 0.1, -13, j in decreasing order.\nAnswer: j, 0.1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 18*k = 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 24*h - 31. Let y(i) = -8*i - 10. Let t(u) = -2*l(u) + 7*y(u). Factor t(w).\nAnswer: -2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 16 = -2*r. Suppose -4*q - q + r = 0. Solve -z = -6*y + y, 0 = q*y + z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28855 or 28854?\nAnswer: 28854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o + 417 = 4. Let u be 4\/8 + 7\/2. Suppose -u*g = -i + 1 + 2, 2*i - 5*g = -3. Which is bigger: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -40. Factor 8*x**3 + 1025*x + 250 + 2*x**3 + n*x**3 + 29*x**3 - 440*x**2.\nAnswer: 5*(x - 5)**2*(9*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 6.267?\nAnswer: -0.6267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-4)\/(-6))\/((-7)\/(-21))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/55*(-195)\/78?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**1)**(-2\/19)\/((m\/(m*m**(-3)))\/(m*m\/m**(2\/5)*m)) assuming m is positive.\nAnswer: m**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/747 and -10\/249?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 800688180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2658981*s. Let i(a) = 53*a. Determine z(i(t)).\nAnswer: 140925993*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7022?\nAnswer: 2, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 5*b + 22, r + 5*b = -r + 16. What is the first derivative of r*l**2 + 11 - 4*l**2 - l**2 + 0*l**2 wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - q + 466439*q**2 - 466443*q**2 + 0*q.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5058 by -2.\nAnswer: 2529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45686.\nAnswer: 2, 53, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 2*o**2 + 4*o + 3. Let d = 12 - 15. What is the tens digit of v(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135 - 147. Let v be (-125)\/(-75)*q\/(-10). Solve 4*c + 14 = -v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**10*((b**(2\/9)*b*b)\/b*b)\/b*b)**(-6) assuming b is positive.\nAnswer: b**(122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (11 - 7 - (-33 - -30)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1503 - -1539. Solve 30*k - 12 = v*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - z**2 - 4)*((-7 + 3 + 3)*(0*z - 2*z + 3*z) + 0 + 0 + 4*z + (5*z - 91 + 91)*(-18 + 25 + 31)) to j*z + p + a*z**3 + u*z**2 and give a.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1010101 (base 2) to base 16\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-21) - 4\/(-2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (51 - 223) + 95 - -3?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311081 is divided by 515?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 2. Let h(l) = l**2 - 7*l + 7. Is 5 a factor of h(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*z**4 - 109883*z**3 - 148399277 with respect to z.\nAnswer: 220*z**3 - 329649*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*x + 80 - 157 + 79)*(0*x**2 + x**2 - 22*x**2).\nAnswer: 546*x**3 - 42*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3298 - 3294. Solve 3*r + i*u = -35, -8*u + 15 = -11*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**4 - 1964*z**3 - 2*z**2 + 9622370*z - 1?\nAnswer: -12*z**2 - 11784*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000047806472 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q + 48. Let t = q - 19. Suppose -2*y + y + 7 = u, 17 = 2*y + t*u. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -5*h - 5*k + 373, -5*k = -3*h + 444. Let u = h - 69. Suppose -6*d + 144 = 30. Calculate the remainder when u is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/6 + 4*i**2\/3 - 7*i\/2 + 3.\nAnswer: -(i - 3)**2*(i - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 75, 153, 261, 399, 567?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, h: 1, c: 4}. What is prob of picking 1 h and 1 w?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/(-24) + 0)*(-4)\/(-7). Let o = 1 + -2. Let n be (-12)\/(-18) + 4\/(-9). Which is the closest to o? (a) h (b) n (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.86 times 3939.2?\nAnswer: 19144.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 + 29*t - 1. Let v(k) = 4*k**2 - 44*k + 2. Let z(g) = -3*s(g) - 2*v(g). Let w(b) = -19*b**2 - 5*b + 8. What is -w(a) - 6*z(a)?\nAnswer: 13*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) - (sqrt(1872) + (sqrt(1872) - (-2 + sqrt(1872) + -2)))**2.\nAnswer: -1888 - 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d**3 - 15*d + 13 - d**3 + 19*d**2 + d**3 - 11*d**4. Let q(c) = 5*c**4 - 3*c**3 - 9*c**2 + 7*c - 6. Let j(v) = -13*q(v) - 6*u(v). Solve j(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1) + 0 + -2 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -228*t**2. Let j(z) = 86*z**2. Let y(w) = 19*w**2. Let r(m) = 8*j(m) - 36*y(m). Give r(k(b)).\nAnswer: 207936*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -153, -885, -2863, -6711, -13053, -22513?\n\"Answer: -104*w**3 + w**2 - 7*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 + 2. Let g = -55028 + 55033. What is the closest to v in g, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245660 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21599, -21248, -20899, -20552, -20207?\nAnswer: -19864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 163767 and 3007923?\nAnswer: 2073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 36 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3 = -k + 8, -20 = -4*k + 3*h. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -d - 20. Suppose -3*g = 4*q - 88, 3*g - q = d*q + 79. Suppose -64 = -4*s + g. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/8)\/i)\/i**(6\/13))**7\/((i\/(i\/(i*i**(1\/4)*i)))**(2\/23)\/(i**1)**(-15)) assuming i is positive.\nAnswer: i**(-41983\/2392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.376.\nAnswer: -0.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -978059*q = -4*w - 978064*q + 270, -1674 = -w - 31*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1970 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 174 - 126 = 0. Let z(u) = -7*u**3 - 6*u**2 - 6*u + 9. Let t(p) = -13*p**3 - 11*p**2 - 11*p + 17. What is a*t(k) - 11*z(k)?\nAnswer: -k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 5*f + 5. Let z be (-104)\/24 - (-2)\/6. Let n(p) = -2*p**2 + 9*p + 3. Let r(q) = -1. Let d(u) = n(u) - 6*r(u). What is z*d(y) + 7*j(y)?\nAnswer: y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 72*c - 63*c - 45*c - 5. What are the prime factors of p(-4)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 times 0.4?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - sqrt(108)\/sqrt(6) - ((-2 + sqrt(2))*-2)**2.\nAnswer: -24 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 9*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26818, 53642, 80466, 107290, 134114, 160938?\n\"Answer: 26824*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*2)**2 + -2 + 0 - (1*sqrt(700) + sqrt(56)\/(sqrt(8)*-3)).\nAnswer: -29*sqrt(7)\/3 + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -2*p + 3029 - 3061, -3*s = -p - 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 + 2*j**3 + 2 + 0*j**3 - 6*j**2 - 5*j. Let i be c(-5). Suppose -25 + 7 = -3*x. Solve x*k - k + 7 = q, k = -i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amc when three letters picked without replacement from mcmcmmcaacccmmmma.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/7 + -1 + 2. Let u = 1.77 - -0.23. What is the closest to q in 0.4, u, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-18)\/c**(9\/4))\/((c\/(c*c**(-38)))\/((c**(-9)*c)\/c)) assuming c is positive.\nAnswer: c**(-269\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2291\/29 + (-1 - 1). Suppose -p = -2*s + 363. List the prime factors of s.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.3 + 4. Let h be 23\/(1012\/(-11712)) + -3*1. Let o = h - -269. Which is the second smallest value? (a) o (b) 3\/32 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 238 - 252 = -4*d, -3*f - d = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (15\/5)\/(3\/(-6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3637442, 3637485, 3637528, 3637571, 3637614, 3637657?\nAnswer: 3637700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + q**2 - 9*q - 24. Determine k(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2767*w + 2762*w + 3*d - 8 = 0, 7*d + 40 = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 73674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 167 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 28*t + 4. Let h be m(-3). Let a be (-5)\/(h\/22) - 3\/3. Let 225\/8*p + a*p**3 - 375\/8 - 45\/8*p**2 = 0. What is p?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 19*r**3 + 2*r**2 - 1. What is the remainder when 3*(9170\/462 - ((-4)\/(-11))\/2) is divided by i(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 909.738 years to decades.\nAnswer: 90.9738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 10*v**2 + v - 8. Let z = 15 + -5. Let n be u(z). Suppose 5*f + 0*f = -3*r + 13, 0 = 5*r - 5. Solve 0 = f*c + b, -6 - 8 = 3*c - n*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*t - 104392 = 4*g, 0 = 3*g - 3*t + 78312. Round g to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 81.\nAnswer: -3, -1, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1401 (base 5) to base 9\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(3) - (sqrt(12)*-1 + sqrt(3))))\/(sqrt(18)\/(sqrt(225) - sqrt(9))*5).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1133784 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 11*w + 41 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 316 - 204. Does 28 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (25692\/(-969) - 2). Let a = n + -1953\/17. Let i = 14135\/152 + a. Find the common denominator of i and -89\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccciiiicic?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57813 + 88750. Let n = 2722491\/88 - p. What is the common denominator of n and 110\/121 + (-180710)\/7480?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115 + 92 - 59)*(0*u - 3*u + 2*u) + (2*u + 0*u + 0*u)*(-1 - 1 + 3) - 4*u + 4*u + u - u - 3*u + 6*u + (-3 - u + 3)*(1 - 1 + 1) - 1 + 2*u + 1.\nAnswer: -142*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -389 - -394. Solve f + 2*c + 2 + 7 = 0, -b*f + 4*c - 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*k - 40*k**2 - 36*k**2 - 31*k**2 + 20*k**2.\nAnswer: -87*k**2 + 310*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(2\/5))\/c*c)**(16\/11))**33\/((c**2)**(-5\/3))**(-8\/11) assuming c is positive.\nAnswer: c**(10688\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**2\/7 + 294828*j\/7 + 10865443698\/7 = 0?\nAnswer: -73707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93428 is divided by 46694.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 5*l + 2. Suppose 0 = 2*w - 20*w + 432. Suppose -d = -1, 0*n + 4*d - w = 5*n. Calculate y(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6\/7)\/((b**(-2\/27)*b)\/b) assuming b is positive.\nAnswer: b**(-148\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/98)\/((-5)\/30)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 10. Let c be t(-5). Suppose -5*r - 4*h + 17 = 0, 4*r - 13 = -c*h - 3*h. Which is bigger: r or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**3 + 13*f**2 - 11*f. What is j(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -5*q**2\/2 - 81. Let v(h) = 16*h. Determine v(n(y)).\nAnswer: -80*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63 * -11.\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80292961?\nAnswer: 7, 971, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.506104427 less than -56.7?\nAnswer: -45.193895573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 391416923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29111309 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + -133. Let l = y - -188.4. What is l rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -5, 0.12, 1\/3 in ascending order.\nAnswer: -5, -2\/9, 0.12, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -30*v - 3. Let q(u) = -29*u - 3. Let r(k) = 3*q(k) - 4*x(k). Let c be r(1). Solve -5*o - 4*d = -0*o + c, -5*d - 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, c: 1, p: 1, l: 5, k: 1, y: 5}. What is prob of sequence okk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10, u: 9}. What is prob of sequence ouoo?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1270 - 1940 = 17*z - 1095 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 153513*p + 42276.\nAnswer: 153513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123.4634 millimeters to meters.\nAnswer: 0.1234634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o**3 + 2*o**3 + 7 - o**4 - o**2 - 8*o**3 as g*o**4 + u*o**2 + z*o**3 + j*o + i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*s + 4184 = -760*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from dsesdsdcsfdd.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 11*v + 8. Let s be u(9). Let p be 184\/s - 14\/(-35). Let q be (-14)\/18 - (-4)\/p. Which is the smallest value? (a) 4 (b) q (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osvs when four letters picked without replacement from olesosolvsnvvsonvev?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-588)\/(-8))\/((-11823)\/10134).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**7*f)\/(f\/f**(2\/3)))\/(f*f**(-1\/2)*f\/(f\/(f*f\/f**(-2\/9)))))\/(((f*f*f*f**5*f*f)\/f*f\/f**(-3))\/(f**(2\/7)*f*f**(-6))) assuming f is positive.\nAnswer: f**(-1609\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23025 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (78 - (36 + -69 + 23))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -82. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 12*v**5 + 19881*v**4 - 164919*v**3 - 139833*v**2 + 44955*v = 0.\nAnswer: -1665, -1, 0, 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (2 + -1) - (-45 + 40)) + -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 3*h**2 - h - 2*h**2 + (-2*h + 0 + 0)*(2*h + 0*h + 2*h) + 3*h + 2*h**2 - 3*h + 56*h**2 - 776*h + 776*h.\nAnswer: 52*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3749 (base 10) to base 13.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-27)\/(-3)) + 4. Let n be (3\/l)\/((-2)\/80). Solve 3*i + 0*q + 5*q - n = 0, 0 = -5*i + 2*q - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**1\/m**(2\/5))**(1\/3))**(5\/4))**(1\/13) assuming m is positive.\nAnswer: m**(1\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from gsggggggssgsgggsgg?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 23 - 22)*(-i + 2*i - 2*i)*(-2 + 4 + 0).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - (-2)\/((-4)\/(-4)). Let c be i\/4*(0 + 0). Solve -d + 2*d - 4 = c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Let z = 1\/2 + k. Solve 1\/2*n**2 + 0 + z*n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3)*(-5)\/(-5))\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-3 - (-1 + -1)). What is the remainder when c\/(2\/(-2) - -2) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 3536?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 415286473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 918.8009 millennia to centuries.\nAnswer: 9188.009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 + 69. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 4:59 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d = 36333 - 36011 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*o - 39, 8*u - 27 = 5*u - 3*o. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**3 + 25676*m**2 + 937984*m - 41814864 = 0. Calculate m.\nAnswer: -6382, -63, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 52. Let n be (-5 - (d + 5))*1\/(-2). Let r = -1 - -1.2. What is the closest to 3 in r, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or -1474?\nAnswer: -1474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (6 - (-8 - -16))) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 650.\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -128, -368, -776, -1394, -2264?\nAnswer: -3428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - ((1*sqrt(24) - sqrt(24)) + sqrt(24))*-6)\/(-3*sqrt(32)).\nAnswer: -7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/15468 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*k**5 + 26*k**5 - 10*k**5 - 2*k + ((-2 - 2*k + 2)*(0*k**3 + 2*k**3 - k**3) + 0*k**2 - k**4 + 0*k**2 + 2*k**4 + 2*k**4 - 6*k**4)*(23*k - 64*k + 10*k).\nAnswer: 159*k**5 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*(-6)\/(-2))\/(-1). Suppose -2*n - 3*m = -4, 9788*n - 9783*n - 6*m = 10. Solve 3*i - z*o + 27 = 0, 2*i + 2*o = -n + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r + 8 = -45*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 8*t - 2*t**3 + 3*t + 2*t**3 - 3*t**2 to the form y + p*t + j*t**3 + d*t**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 28520042 and -3?\nAnswer: 28520045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**33)**(-45)\/(z*z*z*(z*(z**(-19)\/z)\/z*z)\/z*z*z*z**6) assuming z is positive.\nAnswer: z**(-1476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 73696 and 3975922.65.\nAnswer: 4049618.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 75 = -m - 37, -y = 4*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -129?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55042 (base 6) in base 9?\nAnswer: 11358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*c + 8*c - 28570 = 0, 0 = -o - 3*c + 5718. What is the highest common divisor of o and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11325)\/(-302))\/(6\/(-8)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6208, -6207, -6206, -6205?\nAnswer: -6204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*s - 3*x - 1, 3*s - 3*x = 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 308828863883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91\/36 - -11\/4. Let u = -349\/3 + 116. Which is greater: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.89 - -0.11. Let o = 2\/32121 + -27367\/74949. Let h = o + 1\/7. Which is the second smallest value? (a) i (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 2*x - 63, i = 5*i + 2*x - 3770 + 3710 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**3 + 1 + 7*h**3 + 2 - 2. What is i(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.8*0.15\nAnswer: -3.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2. Let l(b) = 15 + 77 - b - 86 - 24 - 87. Calculate k(l(w)).\nAnswer: -2*w**2 - 420*w - 22050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.83845 to 2 decimal places.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 914029 rounded to the nearest one thousand?\nAnswer: 914000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/111 < -23.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, 2, 0.1, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1122 and -2.15.\nAnswer: -0.24123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -22*p + 23*p. Let v = p + 121. Is 3 a factor of (75 - 0)\/v - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 7:21 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 22 = -3*f, 5*x = 11*f - 7*f + 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.091225 hours in microseconds?\nAnswer: 11128410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1929920 = -179*u - 1949073 for u.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 56 (c) -6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = l + 5*k, -17 + 5 = -l + 5*k. Suppose 8*x - 3*x = 4*t + 34, -4*x + 3*t = -l. Suppose -5*v = -x*v + 34. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 2*p**2 + 0*p**2 + (-5*p + 3*p - p)*(-4*p - 2*p + 4*p) + (3*p - 2*p - 4*p)*(-2 - p + 2)*(1 + 2 - 1) - 5*p**2 + 2*p**2 - p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.78 (b) -1\/5 (c) -48227\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330 (base 4) in base 15?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 65 = 2*n, -m - 2*m = -n + 38. Solve 3*i + i + n = 3*x, -3*i + x - 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8812963*h**3 + 8738893*h wrt h.\nAnswer: 52877778*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/349101 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10292191883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -467.22793.\nAnswer: -471.22793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2305 is divided by 1135?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13354 - 13350. Put g, 3, 58, 6, -2 in descending order.\nAnswer: 58, 6, g, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*-2*(-27)\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2642*c + 41. Is o(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 6*u - 93. Solve 4*a - u = 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*a*m*v**3 + 77*a*m*v**2 - 152*a + 9834*m*v**3 - 2*v**2 - 2*v wrt v.\nAnswer: 246*a*m + 59004*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 33186.\nAnswer: -33185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 9 + 9*c**2 to j*c + z*c**2 + v and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + q**2 - 16 + 8.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**3*u + 5*c**2*u**2 + 21*c**2*u + 2561*u**2 wrt c.\nAnswer: 6*c**2*u + 10*c*u**2 + 42*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -20. Let h = 8 - 5. Suppose h*l + 4*r - 6*r - 2996 = 0, l + 5*r - 1010 = s. What is l rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44686241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -153125 divided by 5\nAnswer: -30625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + 100377?\nAnswer: 100400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, -2735796, 4, -6 in decreasing order.\nAnswer: 4, -1, -6, -7, -2735796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-11\/7)*(x**1\/x*x)\/x*x)\/(x*x**(2\/13)*(x*x**(4\/3))\/x))**40 assuming x is positive.\nAnswer: x**(-33400\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 0. Let j = m - -51. Suppose -l + j - 5 = 0. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 42*n = 40*n + 12, n = 5*g - 8. Let r = 0 + 0. Suppose r = 4*s + 5*a - 48, -s + 2*s - 9 = -g*a. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 21*h + 8 = 0. Suppose -h*o + 16 = -0*o + 4*j, -5*o + 4*j = -2. Solve 4*c - 12 + 5 = r, -o = -2*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-178)\/(-4) - 3\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-8))\/((-819)\/156 + 5). Solve 6 = -x*j - 4*m - 11, -4 = -5*j + 3*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1381 is divided by 122?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -4\/7 (b) -3\/2 (c) 1143828\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -19*v**4\/6 + 5*v**3\/6 + 22*v**2 + 28*v + 3. Let d(t) = 1. Give -5*d(n) + p(n).\nAnswer: -76*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from drdzzr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o - 4. Suppose 3*b = 5*n + 6, -5*b - 4*n + 13 = 3. What is the lowest common multiple of j(-3) and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 12*f - 120. Let v be j(12). Let o(b) = -5*b - 6. Let u be o(-6). Is v greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -7*r**4\/6 - 2*r**3\/3 - 9*r - 1. Factor h(u).\nAnswer: -2*u*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101000111000011001001110 + 0?\nAnswer: -1010101000111000011001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 13*p**2 - 10*p + 302. What is the remainder when a(14) is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*(2\/18)\/(16\/1008)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30174599.\nAnswer: 7, 13, 331589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**7*g)\/((g\/(g**(-5)*g))\/g)*(((g*g**(-6))\/g*g)\/g)**(-1\/8) assuming g is positive.\nAnswer: g**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 164, 173, 184, 197, 212, 229?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.866108804 and -0.361.\nAnswer: -2.227108804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -1 (c) 3\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jppp when four letters picked without replacement from {n: 1, p: 5, j: 3, g: 1, k: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.4 - 939.25.\nAnswer: -988.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.1 + 36.1. What is the fourth smallest value in 0, -3\/2, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*j**2 - 1044 - 188*j**2 + 1045 + (3 - 2 + 0)*(-2*j**2 + 3*j**2 - 3*j**2) as k + b*j**2 + i*j and give b.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -8. Solve -s*f = -f + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12*x**2 + 1372*x + 8007. Calculate r(120).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*s = -3*s - 173, 0 = -3*j - 3*s + 528. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -196530 + -895?\nAnswer: -197425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46918 - -73704. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/12*6 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 159, 154, 147, 138, 127?\n\"Answer: -w**2 - 2*w + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/168*44\/(-55)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 1)*(-3)\/(-33). Let l = -29 + 29.5. Which is the nearest to -2? (a) -2 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44899832 at most as big as -44899831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2635*w + 12634. Determine o(-5).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**5 - 5*m**2 - 6*m - 7*m**5 + 5*m**2 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 793, 705, 575, 415, 237, 53, -125, -285?\n\"Answer: 2*h**3 - 33*h**2 - 3*h + 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 51. Sort 4, -11, m in decreasing order.\nAnswer: 4, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*w - 73, h = 14*w - 16*w - 29. Let c be 10\/(-4)*(-30)\/(-3). Let d = -37 - c. Is d less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32134, -31884, -31474, -30910, -30198?\nAnswer: -29344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.287 rounded to 0 dps?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 96545 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10242 = 4*l - 4*g - 15262, -5*l + 8*g = -31874. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffnnfffffffffn. What is prob of sequence fn?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12476891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10796*13684\nAnswer: -147732464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h*w - 54157631*h - 1632242*w wrt w.\nAnswer: -3*h - 1632242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34912?\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 2*w**2 + 0 + 1 + 8 - 7 to the form a*w**2 + s + y*w and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -207, 1\/2, -0.27 in ascending order.\nAnswer: -207, -0.27, 1\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -85, -92, -97, -100, -101?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - h**3 + 0*h**3)*((5 - 4 + 0)*(2*h - 5*h + 2*h) - h - 3 + 3 - 3*h - 3*h + 4*h + (-3*h - 3*h + 4*h)*(1 + 3 - 6) + 15*h - 6 + 6).\nAnswer: -30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -129?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19689216 divided by 2481?\nAnswer: 7936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 5*q - 5*q)*(1 - 2*q - 1) - q + q - 2*q**2 + 187*q**2 + 49*q - 373*q**2 + 187*q**2 to x*q**2 + f + b*q and give b.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(567) + -2 - (sqrt(567) + 1*1*sqrt(567))).\nAnswer: -108*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 30*o + 2. Let g be f(-3). Let k be (-6)\/g + (-10)\/(-55). Put -1\/8, k, 3\/4 in descending order.\nAnswer: 3\/4, k, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 640780.95 + 0.052638\nAnswer: 640781.002638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 45, 25, -9 in ascending order.\nAnswer: -9, -2, 6, 25, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-84)*-8*(-9)\/(-12)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from {d: 1, u: 2, j: 2, p: 2, s: 3, m: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20603.41 hours to seconds.\nAnswer: 74172276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (99*x + 94*x + 1 - 192*x)*(21 - 44 + 19) as z + r*x and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(500) + 2)*-6 + sqrt(500) + -5*2*sqrt(500))*-2)**2.\nAnswer: 13800*sqrt(5) + 450529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (966\/46 + -18)*(-6)\/(-27)*-4\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2669 divided by -2.\nAnswer: 2669\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2171*w + 369073. Give g(170).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78096769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.08, 2\/43, -1 in ascending order.\nAnswer: -1, -0.08, 2\/43, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 169, 5, -12, 3.\nAnswer: -12, -10, 3, 5, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-7 + 0))\/(-2). Calculate the remainder when (f + (-12)\/(-8))\/(1\/2) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3 + (-88)\/(-30)). Suppose -m - 5*g + z = 3*m, -m + 2*g + 20 = 0. Calculate the remainder when m is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 2. Let r(j) = j + 1. Let n(q) = 2*h(q) + 3*r(q). Let t(b) = -3*b + 3. Let m(c) = 9*n(c) + 4*t(c). What is the derivative of m(z) wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118717.\nAnswer: 118717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822188343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = 4. Solve 4*u - v*r = 24, -1 + 10 = 4*u - r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 7*b + 6. Let a be w(-4). Let c(j) = j**3 + 6*j**2 - 6*j - 4. Let i be c(a). Let u = -29 + i. Let g(p) = -p**2 - p + 2. Give g(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3146 + -3127. Calculate the remainder when 1535 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 - (-100 - (-102 + 52))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - (27 + -7 + 4)) + 0 + -32?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 681968 to the power of 1\/2, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 5*i - i + 0*i**2 + i**3 - 4. Let z be y(-4). Solve -z*t - t = 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/369 and 83\/99.\nAnswer: 4059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {w: 7, v: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 186 + -161 + (-1 + 3 - -1) - 1\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 - -0.1. Let k = -0.03 + s. What is the closest to k in 5, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -13. Suppose 85 = 5*g + 5*m, w*m = 3*g + m - 23. Calculate the greatest common divisor of 52 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 8 = 6496*t - 6489*t, -6*u - 3*u + 2*t = 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + -7 + 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2989 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 20741.\nAnswer: 9\/20741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(16 - 19 - 1\/(-1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1044, 882, 720, 558, 396, 234?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -735 - -731. What is the fourth smallest value in 3, k, 4, 15\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-13)\/(-182)*-7*(-6 + 8). Let s = -0.4 - -0.2. What is the nearest to -2\/3 in f, 1\/3, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9855861 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 197?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*((sqrt(405) + 3 - sqrt(405)) + -3) + -1 + (sqrt(405) + sqrt(405) + -1 + -4 - sqrt(405))**2) + 2.\nAnswer: -427 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 u when three letters picked without replacement from noondoononnnnooudo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, -379, -2, 2, -3, 0 in decreasing order.\nAnswer: 8, 2, 1, 0, -2, -3, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 11:43 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**5\/60 + 5*v**4\/24 + 7*v**3\/6 + 2*v**2 - 3*v. Let x(z) be the first derivative of u(z). Is x(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2287 - 2292. Which is the nearest to 1\/2? (a) -0.1 (b) -1\/5 (c) -1 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0354*2\nAnswer: 0.0708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.4 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 + 22 = 2*d, 0 = 5*j + d - 104. Suppose 5*a - j = -0*a. Suppose -34 = -2*w + a. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58648*c**2 + 176135*c**2 - 3*c + 0*c + 13925*c**2.\nAnswer: 248708*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2073653324.\nAnswer: 2, 518413331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24459?\nAnswer: 3, 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 25*t**2 - 43*t - 23. Let b(l) = -25*l**2 + 44*l + 24. Let n(m) = -3*b(m) - 4*k(m). Factor n(a).\nAnswer: -5*(a - 2)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 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: b\"What is the zth term of 55, 140, 289, 508, 803, 1180, 1645, 2204?\n\"Answer: z**3 + 26*z**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -3*h + 3*n, 3*n - 27 = -3*h + 180. Suppose 6*x - 15 = h. Suppose -2*y + 50 = 4*g, x = 3*y - 5*g - 6. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -2*y + 1\/4*y**4 - 2*y**2 + 2 + 2*y**3. Is 11 a factor of g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28243*w**3 + 14045*w**3 + 14194*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 544205\/42 less than or equal to 12957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 8*f**2 + 14*f - 4. Let z be (260\/16)\/5 - (-9)\/12. Is t(z) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 141. Let b(u) = u + 143. Determine -3*b(c) - 4*r(c).\nAnswer: c + 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 419183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -48013 divided by -470\nAnswer: 48013\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = b - 23, -11*o = 4*b - 8*o. Let a(c) = 2*c + 9. Let d(i) = -2*i - 9. Let x(s) = b*d(s) + 2*a(s). Let w = 22 + -30. Calculate x(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/81 and 88\/765?\nAnswer: 6885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 313.06 - -0.168?\nAnswer: 313.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/((-2)\/12). Let i(h) = 8*h + 1. Let y be i(2). Suppose y = 5*u - g. What is the lowest common multiple of 10 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:45 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2724*p**3 + 8*p**2 - 8 + 4*p**2 - 2725*p**3 to v*p**3 + r + l*p**2 + k*p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 57\/7 of a week?\nAnswer: 82080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -287 - -292. Let t be -7 + 940\/d - 6. What is the highest common factor of 21 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -634225 (base 7) to base 14.\nAnswer: -2bcbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -286, 4, -10, -4.\nAnswer: -286, -10, -6, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1429830 and -57\/1112090.\nAnswer: 10008810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1290 = -358. Let s = x - 229. What is the lowest common multiple of s and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -110*w**2 - 45. Let c(f) = -5*f**2 - 2. Let k = 1560 - 1558. Let l(m) = 3*m**3 + 4*m**2 - m - 3. Let r be l(-3). Calculate k*j(n) + r*c(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272266, 272261, 272254, 272245, 272234, 272221, 272206?\nAnswer: 272189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 2*m - 18. Let f be a(-3). Let z(u) = -3*u + 1. Let k(h) = -7*h + 3. Let p(o) = -6*k(o) + 15*z(o). Give p(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44454745 is divided by 71817?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {a: 7, z: 4, n: 4}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2804 + -2809. Put -80, n, -2 in ascending order.\nAnswer: -80, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (412 + -440 + 1782\/64)*2\/(-5)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/2*((9 - -1) + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136573859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 3*g**6\/40 + 5*g**3\/6 - 3*g**2 + 2*g. Let w(b) be the first derivative of j(b). What is the first derivative of w(t) wrt t?\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5371 - 5371 + 380*d + 7*d**2 to the form s*d**2 + b + o*d and give o.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -386 - -402. Let j(d) = -d**3 + 26*d**2 - 10*d - 7. Is j(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*i - 14493 = -14265 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(320))*2 + sqrt(320) + (sqrt(320) - sqrt(320)*4) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 w when four letters picked without replacement from ssspwsspppppspssz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -197.5920858 to two dps.\nAnswer: -197.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(156)*1)\/(sqrt(12) + sqrt(1728)*-2))**2.\nAnswer: 117\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (30 - 0 - (-761 - -756))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -289170 by 3.\nAnswer: -96390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 3. Let s be i(-6). Suppose 5*q + 13 = -s*b, 4*b = -0*b - 4*q - 4. Calculate the smallest common multiple of b and 2\/(-11) - 395\/(-55).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*p + 22, -a + 67 = 2*a - 5*p. Calculate the smallest common multiple of a and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 61.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (523 + 4339 + 2825)*(-3*s**3 + s**3 + s**3) in the form f + x*s**2 + q*s + w*s**3 and give w.\nAnswer: -7687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11179955?\nAnswer: 5, 23, 67, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -750209*203.\nAnswer: -152292427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4123938 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 13. Let f(c) be the first derivative of c + 1\/2*c**2 + 4. Give f(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 947255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39824 - -475379087\/11937. Let f = -1181773\/119370 - m. What is the common denominator of -3 + (0 - 262\/(-44)) and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 9:52 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.69 + -6.69. Let n = 1.72 - 15.66. Let u = c + n. What is the second biggest value in u, -4, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(357\/(-129))*-17.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000733020402 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, f: 2, p: 8, a: 3}. Give prob of picking 1 p and 2 a.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2332 - -43044?\nAnswer: 45420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 3322 + 3322 + 3*b - 2*b. Let a(m) = -3*m - 3. Let v(i) = a(i) - x(i). Give v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 10. Let h be m(9). Let d = -14 - -6. Let z = d - -6. What is the nearest to h in -1, -2\/9, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/6*3 - -5 - -6. Solve 15 = -3*q, -q + 8 = h*y + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42780 and 980?\nAnswer: 2096220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 19*i - 29 = 17*i, -3*z = 5*i - 82. Solve 11*q + 8 - z = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u = -3*n + 17*u + 66, 10 = 5*u for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 21661, -0.2, 0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 154\nAnswer: 3\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -224365*q**4 - 11*q**2 + 2*q - 1057.\nAnswer: -5384760*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 3\/5 (c) 0.2 (d) -168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*((-5)\/(-10))\/1. Let q be a - (-1 + 1) - 0. Factor 2*t**5 + 0*t**3 + 16*t + 6*t**2 + q*t**3 - 32*t - 6*t**4 + 12*t.\nAnswer: 2*t*(t - 2)*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -66. Let r be (100\/(-6))\/(-8*(-6)\/w). Is r equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 7) to base 6\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d + 42*d = 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p. What is n(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**6\/30 + 7*x**5\/20 + 5*x**4\/24 - 75*x**2. Suppose w(n) = 0. Calculate n.\nAnswer: -5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3994 - 1354 = 0. Let g = z + 633. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 3*d - 5. Let j be ((-32)\/12)\/(3\/9). Let b = j + 14. Does 14 divide g(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5058\/(-5620))\/((-3)\/5))\/(1\/(-6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (9 + -1 + -6 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 3. Let i be 3\/(-6) - 14\/(-4). Let b(d) = -14 - 5 + i - 5*d. Let n(s) = 11*a(s) - 2*b(s). Calculate n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49.86 + 2240.86. Let s = 2191.931 - t. What is s rounded to 2 decimal places?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, x: 1, h: 2, e: 1, o: 1, g: 2}. What is prob of picking 2 o and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v**2 - 1. Let a be z(-1). Suppose -2*c = 3*s + a, c - 18 = 6*s - 3*s. Suppose -2*d - 8 = 0, -c*g - 3*d = -g + 8. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 568975803.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 less than 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**4 - 30*x**3 + 36*x**2 + 216*x = 0. Calculate x.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 209068 - -1?\nAnswer: 209069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjc when three letters picked without replacement from {y: 3, d: 6, c: 5, z: 3, j: 2, p: 1}.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4 - 3*m**2 - m - 3 - 2. Let j be a(-1). Are j and -3 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 3, 3.23, 2\/5, -4, -3 in descending order.\nAnswer: 3.23, 3, 2\/5, -0.15, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 270\/11 at least as big as 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 63b379?\nAnswer: 63b378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196277185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffkffkfkffkfk. What is prob of sequence fkkk?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 1:47 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*i + 3*i**3 + 10*i + 15*i**2 + 12 + 0.\nAnswer: 3*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57948 and 43692.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/(((-1)\/(-3))\/((-17)\/9)).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 8*k + 66, 2827*k - 38 = 2*z + 2822*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8196200388 - -8196200313.00000049. Let v = -104 + 29. Let u = v - w. Round u to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 44322630*s**3 + 163708005165696*s**2 - 327415833040896*s.\nAnswer: 3*s*(s - 7387104)**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 1. Suppose 0 = 28*m - 33*m + 5. Let v(h) = -68*h**2 + 63. Let k(s) = m*v(s) - 6*d(s). What is the derivative of k(j) wrt j?\nAnswer: -124*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 9:20 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 19*t**2 + 64*t - 31. Give x(-14).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -117817?\nAnswer: 117817.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 177*z**2\/7 + 1401*z\/7 - 120\/7.\nAnswer: 3*(z + 8)*(59*z - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 167, 1094, 2621, 4748, 7475, 10802, 14729?\n\"Answer: 300*o**2 + 27*o - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4487.9996251 + -4488. What is l rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 b when three letters picked without replacement from {w: 8, x: 6, b: 1}.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 6\/(-63) - 64\/4200\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1216) + -1)**2*-2.\nAnswer: -32*sqrt(19) + 2434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**3 + 5*y**2 - 7*y. Let f(b) = -7*b**3 + 11*b**2 - 14*b + 1. Let j(n) = 3*f(n) - 5*w(n). Calculate the lowest common multiple of j(7) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*h + 132*h - 27*h - 793 + 7712 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2*80\/48?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -421, -396, -327, -190, 39, 384, 869?\n\"Answer: 4*v**3 - 2*v**2 + 3*v - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*l - 2*v + 21, -4*l + 5*v - 8 = 0. Suppose -105 + 633 = 33*h. Solve l*m = 7*m + h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/11)\/i**0)\/(i**24\/i*i)**26 assuming i is positive.\nAnswer: i**(-6858\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 4 - 9) + 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h**2 - 38*h - 53. Let a be y(5). Let o be 4\/((5 - 2) + -2). Sort a, 1, o, -3.\nAnswer: -3, 1, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2977014 by 3.\nAnswer: 992338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -696 + 736. Let p = 17 - 21. Is j > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -g + 5*g. Let q = 14 - g. Let t be (-36)\/(-63)*q\/(-12). Is t < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1776586, -1776999, -1777412, -1777825, -1778238?\n\"Answer: -413*i - 1776173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 1400.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**3 - 5*q**3 + 0*q**3 - 5 + 13 as b*q**3 + y*q + j + d*q**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*s + 2*s - 646, -2584 = -4*y - 2*s. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 113564 and 464?\nAnswer: 454256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + -456?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.32293 and -0.0364684158?\nAnswer: 2.3593984158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -2 - (-8 - -36)) + -47?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*t = -189*t - 203*t + 535*t - 2368 for t.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a. Let p(v) = 6*v**2 - v - 1. Let o be p(-1). Let k(w) = -8*w**2 + 11*w**2 + w**2 - o*w**2. What is k(n(u))?\nAnswer: -162*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9227 - 9226.9975775. Round d to five decimal places.\nAnswer: 0.00242","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-17 + 8 - -20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1221.4 + -1408. Let b = l - -166. Let y = -27 - b. What is y rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j**4 - 13288045*j**3 - 1051024800584*j**2 - 25024392481*j = 0. Calculate j.\nAnswer: -158191, -1\/42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 6. Let l(c) = 3 - 3 - c + 6 - 2*c. Let u(w) = -4*b(w) - 3*l(w). What is u(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {x: 1, w: 2, s: 8, t: 1, u: 8}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291505320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1607*b**3*s*t**2 - 7*b**3 + b**2*t + 570*b*s**3 - 14*s**3*t**5 wrt t.\nAnswer: 3214*b**3*s - 280*s**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 0*p**2 + 4*p**2 + (-p**2 + 0 + 0)*(2 + 2 - 5) + 2*p**2 + 6*p**2 + p**2 to the form s*p**2 + f*p + r and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 1. Let r be h(-3). Let u(m) = m + 9. Let a be u(r). Solve -a*d - 2 = -0*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -387 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.293 minus -0.4?\nAnswer: -19.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42e (base 16) to base 6.\nAnswer: -4542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v**2 + 26*v**2 - 33*v**2. Let z(j) = 8*j. Let g(p) = -p. Let m(x) = 18*g(x) + 2*z(x). What is m(k(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 3852543?\nAnswer: 34672887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 5:18 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1225\/2? (a) -2 (b) 1\/68 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/6 - -25\/78. Let g = -210 - -168. Let s = -41.7 - g. What is the third biggest value in s, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 382?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 11111101011100?\nAnswer: 11111101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 9:11 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237289019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 116b3 (base 13) to base 14\nAnswer: b8bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/515 and 29\/1198320.\nAnswer: 123426960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m**2 + 8*m - 1. Let i(s) = 17*s**2 + 15*s - 2. Let c(a) = 11*d(a) - 6*i(a). Let o(y) = y**2 + y - 1. Let u be o(-2). Give c(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d - 3*d + 8*d + 3*d - 2*d + d + (-d + 0*d + 0*d)*(0 + 1 + 0) + 2*d - 4*d + 0*d + 3 + 2*d - 3 to the form x + p*d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-1 + 6 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 485\/7 (b) -5 (c) 4\/11 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102663615?\nAnswer: 3, 5, 1193, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 390224*k**4\/15 - 20184*k**3\/5 + 1044*k**2\/5 - 18*k\/5.\nAnswer: 2*k*(58*k - 3)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*o + 6. Suppose -6 = 3*r, -r - 2 = -3*d + 12. Let c(t) = -t - 4 + d*t - 5*t. Determine c(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.024 + -1.344. Let u = 3.04 - 3. Let j = g - u. Round j to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 23 - 33 = 0. Let h be (-8)\/v - 874\/(-133). Calculate the common denominator of (2 - 35\/20) + 56\/h and -56\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-9))**27*s**4*s**(-1\/4))**(-26) assuming s is positive.\nAnswer: s**(12441\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -7 - (-92 - (-16 - -13) - 30)\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -188, -298?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 45010200 to the nearest 100000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 49*f**2 + 44*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(810) + sqrt(810) - 1*4*sqrt(10))\/(1*-2*1*sqrt(2)*1).\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98 (base 13) to base 7.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + d + 3. Determine l(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -2007?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**7\/42 + 331*b**6\/12 + 9019*b**5 - 367965*b**4\/4 + 554445*b**3\/2 - 759*b**2 - 3*b. Suppose l(x) = 0. What is x?\nAnswer: -333, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*h - 3*h + 486, 0 = 5*h - 4*v + 1248. Let g = h + 252. Solve -5*y + 10 = -g*n - n, -n - 11 = 2*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2296981, 4593959, 6890937, 9187915?\nAnswer: 11484893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + 9*s + 6. Let c(x) = 980*x + 9. What is the lowest common multiple of j(-6) and c(0)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -26, -96, -236, -470, -822?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 497618 and 138732?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 - 26075*k**2 - 26070*k = 0. Calculate k.\nAnswer: -5214, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -958\nAnswer: -287.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4 + 368*u**3 + 1140*u**2 + 16*u - 1520 = 0. What is u?\nAnswer: -2, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -65, -134, -229, -362, -545, -790?\n\"Answer: -2*o**3 - o**2 - 52*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6542\/189 - 751\/27. Let i = -41208 - -577219\/14. Let g = i + a. Find the common denominator of 45\/14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -953 - -985. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a + 1126 - 2248 + 1158. Let m(q) = 2 + q**3 - 2*q - 3 + 6*q**2 - 4. Give m(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - x**4 - 1 - 3*x**2 - 9 + x**3 + 5 to the form v*x**4 + b*x**2 + i*x + d*x**3 + m and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*i + 5959, 11*i = 13*i + 6. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 3. Let m be i(5). Suppose -m*l + 5 = 1. Solve -2*h + 7 = r, 0 = -0*h - l*h - 5*r + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -147*f. Let h(x) be the second derivative of -x**4\/6 + 710*x. Calculate i(h(t)).\nAnswer: 294*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34843740 and 133567670?\nAnswer: 801406020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**2 + 5*o. Let x(q) be the third derivative of q**6\/120 + q**5\/60 - q**4\/24 + 551*q**2. Determine -f(m) - 5*x(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -8.8. Which is the second smallest value? (a) l (b) 0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.1064373 to 1 decimal place.\nAnswer: 10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgbcxbtxqcxgbxbccc. What is prob of picking 1 q and 1 b?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 + 66*x**2 + 4. Give j(33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**4\/6 - z**3\/2 - z**2\/2 - 5*z. Let i be w(-4). Let m = -13 - i. Solve 3*n = -x + m, -x + 2*n - 20 = -2*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsvpqzq. What is prob of sequence qsg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gykg when four letters picked without replacement from {k: 1, n: 1, q: 1, g: 2, w: 3, y: 3}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-14))\/(4\/280*-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4116*o - 4130*o + 8677*o)*(2 - 3 + 3) to f + v*o and give v.\nAnswer: 862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -318*l**2 - 20 + 160*l**2 + 159*l**2 + (0*l**2 - 3*l**2 + 2*l**2)*(-2 + 3 - 3) + 0*l**2 - 2*l**2 + 4*l**2 to b*l**2 + c*l + i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2136 - 985. Is p a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 176 and -197.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 417863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -12.4.\nAnswer: 86.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310 (base 4) to base 10.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36*(2\/4 - 0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*z**2 + 107*z**2 + 3 - 4 in the form s*z**2 + p + l*z and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 76 = 9*s, 8*r = 4*r + 4. Suppose 166922 = s*k + 5*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h + 4. Let f be n(-8). Let o = f - 42. Calculate the remainder when o is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o**3 + 3*o**3 + 8*o**3)*(6*o - 2*o - 2*o) + 0*o**4 - 3*o**4 + 2*o**4 in the form b*o**3 + l*o + n*o**2 + p + h*o**4 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((382*-1)\/1)\/(8 + -6). Let h = c + 197. Calculate the greatest common divisor of 42 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00030355749 to 6 decimal places.\nAnswer: 0.000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/6156905?\nAnswer: 3\/6156905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -222434 or -222429?\nAnswer: -222429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -25*j**2 + 50*j + 15. Let n(u) = -u**2 + 2*u. Let f(q) = -l(q) + 20*n(q). Factor f(i).\nAnswer: 5*(i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*s - 56 = -6, 0 = 3*s + 6. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2 + 2 + 5*g - 3. Let c be o(-1). Let f = c + 15. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3464162643 to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 9:15 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325454583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13038*b - 15132 = -39496*b + 13177*b + 13125*b for b.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {m: 10, g: 3, y: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4\/2 + 278646*y**3 - 12940598886*y**2.\nAnswer: -3*y**2*(y - 92882)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 8622 and 253 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6581.33km in micrometers?\nAnswer: 6581330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2450.92 and 25203.\nAnswer: 27653.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + h + 14 = -h, 2*n + 5*h = -27 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 861276 or 861278?\nAnswer: 861276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/4 (b) -0.5 (c) -1\/7 (d) -320 (e) -77.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4\/9 - 313912*y**3\/9 - 1883398*y**2\/9 + 313912*y\/9 + 627800\/3 = 0.\nAnswer: -156950, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*c + 160 = 90 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314560 is divided by 657245?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + d - 26 = 0, 4*t + 15 = -18*d + 13*d. Put 17, -2, t, -3 in descending order.\nAnswer: 17, -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*n - 44*n**4 + 23*n**4 + 1 - 34*n**2 + 47*n + 18*n**4 to the form o*n**2 + b*n**4 + l*n**3 + k*n + q and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*p - 20, -2*p - 6 = -k + 3. Let z(d) = -7*d - 1. Calculate z(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - l**2 - 4*l)*(-5*l**3 + 2*l**3 + 2*l**3) + 4*l**5 + 0*l**5 - 3*l**5 + (1 - 1 - l**3)*(4*l**2 - 2*l**2 + 0*l**2) + 3*l**5 - 2*l**5 + 0*l**5.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3340.8 rounded to the nearest one hundred?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -2\/267, -5, 1.969?\nAnswer: 1.969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 4, 56\/9, -3\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 286 + -283. Solve -s = 10*n - 9*n, -3*n - 12 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/(sqrt(10) - sqrt(1440)) - sqrt(22))\/(sqrt(288)*1 + sqrt(2)))**2.\nAnswer: 144\/1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138427934?\nAnswer: 2, 1549, 44683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 - 62 - 159 + 382 - 123*g**3.\nAnswer: -123*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand -18*l**5 - 58*l**5 - l - l + 1 - 1 + l**5 + (-l**3 - 2*l**3 + 4*l**3)*(-l**2 + 0*l**2 + 3*l**2) + 4*l**2 - 4*l**5 - 4*l**2.\nAnswer: -77*l**5 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(-10\/17)\/(c*(c*c**(-1\/7)\/c*c*c)\/c*c**0) assuming c is positive.\nAnswer: c**(-361\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 (base 10) in base 3?\nAnswer: 221010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -530 + 892. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11143297 and 1342.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 4)*(-g - 4 + 4)*(-2*g - 23*g + 4*g) to the form c + w*g + m*g**2 and give m.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/15 - (-18)\/15. Let z(u) = 2*u. Let l be z(k). Find the second derivative of -10*o + 6*o - 4*o**5 + l*o wrt o.\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -5\/43, 0.093, 4\/7, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25730072 * 3.\nAnswer: 0.77190216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/12 - 53*v\/6 - 35\/4 = 0. Calculate v.\nAnswer: -105, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1236 + 30896\/25. Let q = o + -14\/225. What is the nearest to q in -0.5, 3, 0.06?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5 - -10)\/(102\/14) and 7\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*k = 4, -k + 158 - 94 = -5*f. Let x(j) = j**3 + 13*j**2 - 13*j + 29. Give x(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 8. Suppose -5*b + 20 = 2*z, f*z - 8 = 2*z - 2*b. Solve z = -3*n + 4*r + 3 - 4, -20 = -5*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(143) - sqrt(143))*5 - sqrt(143)*2*5)*1)\/((sqrt(110) - (sqrt(110) + sqrt(110)*-3*3) - sqrt(110))\/(-3*sqrt(160))).\nAnswer: 75*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**5 - 68847*y**4 + 175405*y**2 + 1 wrt y.\nAnswer: 60*y**2 - 1652328*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(12)\/(sqrt(30)\/(sqrt(10)\/sqrt(2))) + 3 + (sqrt(50) - (sqrt(50) + sqrt(450) + 0)))**2.\nAnswer: -224*sqrt(2) + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/(-6)*(14469\/(-14))\/13. Let j = b - -375. Solve j*h = -0*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60486 is divided by 307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 13105200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 + -54. Suppose 5*p - a + m = 0, 3*a - 2*a - 47 = 4*p. Let u(j) = -j + 2. Is u(p) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1483 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149973 is divided by 74820?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**2 + 2977188*d + 738637365612 = 0.\nAnswer: -496198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p - 21*p + 42*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*q - 17. Suppose -4*n + 6*n - q = 0. Solve 0 = -4*g, 4*v + v + 2*g = n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 476, -5, 0, 3, -3.\nAnswer: -5, -3, 0, 3, 476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75\/7 + 11. Let x = 108 - 111. Which is the nearest to 0.1? (a) x (b) k (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 20cb6?\nAnswer: 20cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 8*t + 4*t + 290, -5*o + 260 = -2*t. Suppose 6*q - 96 = -o. Solve 5*x + q = -3*f, -2*f - f = 3*x + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(147)*2 + (1*sqrt(147))**2*-6)*-5.\nAnswer: -140*sqrt(3) + 4410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(1300) + 3 + 3)**2.\nAnswer: -1336 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2334*r - 14004. Let y be u(6). Does y = -141\/106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*g + 213*g + u = 102*g + 7, 2*u + 49 = -5*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -d - 33 - 8, 0 = 4*d + 4. Which is bigger: b or -26?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -12b8a0?\nAnswer: -12b898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0094, -1, 5, -0.3 in increasing order.\nAnswer: -1, -0.3, 0.0094, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -11455570110 to the nearest one million.\nAnswer: -11456000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2145 + -895. Round f to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**4\/2 + a**3\/2 + 3*a**2 + 45*a. Let l(r) be the first derivative of h(r). What is the units digit of l(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1404 divide 7227792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*k + 64 = -k, 5*k = 0. Suppose -40 + u = -4*x. Solve -x*z + z + 25 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 times -804571\nAnswer: -30573698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + 1 - ((32 - 66) + 56) - -98?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 2*p)*(-2*p + 4 - 4) + (1 - 3 + 0)*(33 - 33 - 6*p)*(-954*p - 518943 + 518943) in the form s + h*p + f*p**2 and give f.\nAnswer: -11444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ssssnsssfssssf?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + (2 - 2) + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 6, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067188259 to the power of 1\/2, to the nearest integer?\nAnswer: 32668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w + 30. Give z(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2894*f + 14337 wrt f?\nAnswer: 2894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -350 - 629*j - 30 + 628*j - 81 - 159 as l*j + c and give c.\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/21892 and -37\/65.\nAnswer: 109460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -46537?\nAnswer: -46537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2198, -2076, -1754, -1136, -126?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2697953404, -2697953405, -2697953406, -2697953407, -2697953408?\n\"Answer: -w - 2697953403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 12*h**2 - 8*h - 6. Calculate c(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1 (b) -4 (c) 0 (d) -2\/47 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -899, -1826, -2753, -3680?\n\"Answer: -927*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6756850*p**2 - 3736587*p wrt p.\nAnswer: -13513700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -74265146 + -16.21\nAnswer: -74265162.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -74, 2, 0, 23, -44 in increasing order.\nAnswer: -74, -44, 0, 1, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 3, k: 15}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 2, 4.\nAnswer: -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + (sqrt(80) + sqrt(80)*-1)\/sqrt(10))\/(sqrt(4)*-2*-5).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1, 78, 4, 3, 10.\nAnswer: -5, 1, 2, 3, 4, 10, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/4*28\/35. Suppose -y + x + 18 = 0, -4*x = f*y + y - 40. Let w be 9\/(-12)*y\/(-198). Is w >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/((-16)\/82))\/(4\/(-32)). Is (-2)\/((-15)\/q - 1\/(-6)) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -26. Let r = w + 9. What is the nearest to r in -2, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z + z)*(0 + 3 - 1) - 1 + 1 + z + (3 - 3 + 1)*(z + 3*z - 5*z - 1566 + 1566 + 23*z + (-2 + 0 + 0)*(-50 + 1 + 7)*(z + 2*z - 5*z)).\nAnswer: -141*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46190 and 520?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*j, 4*p + 9*j - 4*j = -21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2510 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3132, -145, 4\/41 in descending order.\nAnswer: 4\/41, -145, -3132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/68 and 33\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 + 2*n**2 - 5*n**2 + 2*n**2 + 3*n**2 + 10 - 3*n**3 to d*n**2 + x*n + c + v*n**4 + i*n**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-8 + -2 - -2). Let n = -95 - -95. Suppose n = y*h - 20, -h + 11 = -5*g + 27. Let c(s) = -s + 3. What is c(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 285362155 from -185.9671.\nAnswer: -285362340.9671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179 - 179. Solve 2*m = -3*g + 10, -5*g + m + 2*m - 15 = l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 48*b**2. Let v(q) = -295*q**2. Determine j(v(a)).\nAnswer: 4177200*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-60))\/((-3)\/(-2))*(-77)\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9750\/105 - (-1)\/7 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfdx when four letters picked without replacement from {d: 1, s: 1, f: 2, p: 2, x: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-142605)\/6338*(2\/(-3))\/(2*-4).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 + (-19 - -9))*14. Calculate the lowest common multiple of (18\/(-48))\/(r\/224) and 106.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 244 + 471 = 4*b, 0 = b + 4*g - 176. Let q = -103 + b. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 + 12*c**2 + 115 - 217.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27671 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 520214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -74*p + 375. Let r be q(5). Solve -r*a - 1 = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.682819 tonnes in nanograms?\nAnswer: 8682819000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 1. Let d(z) = -2*z**3 + 10*z**2 + 31*z - 32. Let w be d(7). Let l(a) = -6*a - 4. Let q be (-60)\/14 - (-6)\/21. Determine q*l(v) + w*y(v).\nAnswer: 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f = 5*r - 17, f + 2*r = 8. What is the units digit of (2\/f)\/(2\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, j: 2, q: 1, d: 3, g: 1}. Give prob of picking 1 j, 2 o, and 1 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -0.615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -384938128.9999927 + 384938216. Let z = 0.196 - 87.196. Let d = z + k. Round d to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*f = 6, 3*f + 3*f = 18. Calculate the remainder when 77 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 12 (b) 8\/11 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - p + 1259 = -2*m, 5*m = p - 3140. Let w be (-2 - 1257\/m)*-2. Is -2\/3 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/30 and 61\/13302.\nAnswer: 66510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 - 138*y**2 + 136*y - 12. What is p(45)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -189\/5 - -38. Which is the biggest value? (a) 0.5 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(624)\/(sqrt(12)*1) - (-4*2*sqrt(130))\/sqrt(10).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62729?\nAnswer: 149, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = -43*t - 196 + 719 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p\/(p**(7\/6)\/p))\/p))\/((p*p*p\/p**(-10)*p)\/p*p))\/((p\/(p\/p**6))\/(p*p*p**(-1\/6))) assuming p is positive.\nAnswer: p**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5181705*q**2 - 3143537.\nAnswer: -10363410*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7856 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 + 20*g**2 - 8*g - 20. Let h(z) = -z**3 + 7*z**2 - 3*z - 7. Let s(k) = 11*h(k) - 4*m(k). Is s(4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1.8. Let z = 0.1 - 1.1. Which is the closest to -0.1? (a) 4 (b) u (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 9*m**2 - 11*m + 6. Let v be k(10). Let g(h) = 2*h**2 - 6*h - 4. Let y(x) = 4*x**2 - 11*x - 7. Determine v*y(t) + 7*g(t).\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.6 + 13. Which is the second smallest value? (a) 1\/5 (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24627265 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 180\/22911457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 - -125. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7830985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001 + -1000?\nAnswer: -1111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509229150 is divided by 503.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 + 17 + 8)*(-1 + 2*d**5 - 3*d**5 + 2*d**5).\nAnswer: 96*d**5 - 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 779, 1569, 2633, 3977, 5607, 7529?\nAnswer: 9749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 17*k + 30. Let h be r(16). Let a be (-1 + -1 + -1)*(-252)\/h. What is the greatest common factor of a and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 57836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49d8 (base 15) in base 11?\nAnswer: 108a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -173 - 542. Suppose -134 + a = 3*n. Factor 33 + 72*p - 173*p - n*p**2 + 71*p.\nAnswer: -3*(p - 1)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*l - 8*l + 336 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-16)\/2)*(-4)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -727, -724, -719, -712, -703?\n\"Answer: b**2 - 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116 + -128 - 14\/(98\/189)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*s**2 + 146746656*s + 36623437155072 = 0 for s.\nAnswer: -3493968\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 108 = -135. Calculate the greatest common divisor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1045\/162889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*w + 74*w - 16 + 7 - 25*w + 11 - 112*w.\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 - 18033 - 16*y**2 + 18033.\nAnswer: -23*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - 3*j**2 - 37 + 82 - 5 + 6*j - 30*j. Determine h(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26874929*u**3 + 2*u**2 - 6826742*u + 6.\nAnswer: 161249574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -247 and 2?\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 23 = -3*u + 3*p, 0 = 3*u + 2*p - 13. Sort -5, 62, 0.4, u.\nAnswer: -5, 0.4, u, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 0*i + 0*i + (-1 - 4 + 3)*(0 + 0 + 2*i) - 44 - 2*i + 44 + i + 2*i - 2*i + 57 - 8 - 46 + i as w + n*i and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 26*s**2 + 16*s - 362. Determine p(-27).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4*3\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71339383 to the nearest integer?\nAnswer: 8446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 919101 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**3 - 3*z**2 + 4*z + 2. Let s = -12 - -16. Suppose -s*t - 3*i = i, -t - 8 = 3*i. Let p(u) = -5*u**3 - 4*u**2 + 5*u + 3. Give t*g(k) - 3*p(k).\nAnswer: -k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*-10*(-18)\/24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*y**3 - 4 + 4 + 54*y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*v + 69*v + 31 = q, -5*v + 37 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66 + -4?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5320 + 4147. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjj when three letters picked without replacement from vvjjjjj?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, 7, 9, 11?\n\"Answer: 2*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i = -21 - 49. Suppose -5*g = 5 + 10. Let j = i - g. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/5*(-6)\/(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/40*((-1375)\/135 + 10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -303 + 561. Let u = -259 + z. Which is the nearest to u? (a) -4 (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/57? (a) 0.04 (b) 1\/6 (c) -3 (d) 6 (e) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, e: 15}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2192?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.29 - -0.19. Let x = 4.97 - 5. Let j = x - -0.03. What is the nearest to f in -3, j, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1951875*h - 975938*h - 975938*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/51)\/(l**(2\/9)*l)*(l*l**(-1\/32))\/(l\/(l\/(l*l**(-2\/21)))) assuming l is positive.\nAnswer: l**(-40367\/34272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33487 - 33252. Calculate the remainder when 3523 is divided by m.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215251 is divided by 75?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*2\/(-4)*1. Suppose -5*h + 10*h - 40 = d. Let b(o) = -o**2 + 9*o - 5. Let n be b(h). Solve 3*t + n = -3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 3*h**7\/2240 - h**6\/120 - 3*h**5\/64 - h**4\/16 - 29*h**3\/6 + 11*h. Let m(l) be the second derivative of v(l). Factor m(x).\nAnswer: 3*(x - 4)*(x + 1)*(3*x + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16934 - a?\nAnswer: -16943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) 2 (c) -1.32 (d) -0.1 (e) -6\/11 (f) -2 (g) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 24 - 6. Let g be v\/(-2) + (-19)\/(-2). Which is bigger: 7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 - 106. Let f = -197 - -195.83. Let j = 6.17 + f. Which is the closest to 22? (a) z (b) 0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**4 + 29840*a**3 = 0. What is a?\nAnswer: -7460, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 10258*c = -10248*c + 110, -5*c - 53 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9460)\/(-80))\/((-4048)\/(-1472)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 6*l + 17. Sort 1, -18, l in ascending order.\nAnswer: -18, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r + 5*r**2 + 2 - 2*r**2 - 2*r**2. Let l be b(-3). Let n(s) = -3*s**l + 2 + 3*s + 0*s**2 + 4*s**2. Calculate n(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3973 + -3969. Solve 12*c - 4*c = -y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 631326 + -41?\nAnswer: 631295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -161\/4. Let t = -4759 - -4744. Put 4, t, y in decreasing order.\nAnswer: 4, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*s = -52, n - 3*s + 31 = 3*n. Let w be (n\/7)\/(40\/140). Solve -5*p - 3 = -w*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23552 - 23582. Which is the third biggest value? (a) t (b) 37 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 - 16 = 3*r, -5*r + h - 6 = 0. Put r, 3, -7, 12 in increasing order.\nAnswer: -7, r, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 660728 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26154 is divided by 240.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 25, 17, 1?\n\"Answer: -4*j**2 + 12*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 4*g**2 + g + 1. Let l(c) = 4*c - 12. Let x be l(5). Suppose 2*r + 3*b - 118 = 0, 3*b + b - x = 0. Let j = r + -60. Calculate n(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - m = -76752, -3*m + 6*m + 24 = 0. What is the thousands digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469 = 55*z + 303 - 384 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -535\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137845 - 16375. What is o rounded to the nearest 1000?\nAnswer: 121000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13 + -9 + -8 + 10. Let v(d) = d**3 - 7*d**2 + 3*d + 9. What is v(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30, 90, 216, 432, 762, 1230, 1860?\n\"Answer: 4*i**3 + 9*i**2 + 5*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 106884?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2. Let i(h) = -12*h**2 + 5*h**2 + 5*h**2. Determine j(i(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1106573843 divided by -65092579.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 + -51. Does 33 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1, -134 in decreasing order.\nAnswer: 1, 2\/5, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaadnqnqnaaqnaq. What is prob of sequence anna?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -99528 * -0.4\nAnswer: 39811.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 8 = 8*l. Suppose -14 = l*o - 42. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.48208mm in meters?\nAnswer: 0.08148208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*h - 7714 = 14*h + 175*h for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 2*m = 7*d - 22, 5*m - 5 = 0. Is 3 a factor of (-8 - d) + 75\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 12.84. Let m = 1.5 - w. Let l = m - 0.4. Is 0 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/11 (b) 1 (c) -1\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 - -401\/5. Let f = 0.0017 + -35.7017. Let u = 33.7 + f. What is the biggest value in 0.3, c, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-69)\/6*2)\/((-7)\/(-14)). Let w = t - -62. What are the prime factors of (168\/(-112))\/(1 + (-22)\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -23, -4, 5, -4\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6355 - -6764. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-1)\/((-90)\/(-376))*(40 - 2925\/78).\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((4 - 4)\/(-1*3))\/1. Suppose u = h + 3*x - 60, 0 = 5*x - 26 + 1. Calculate the remainder when h is divided by 2\/(-7) - (-86)\/7.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 2. Let q(x) = -x**2 + 8*x. Let h(z) = -z + 8. Let u be h(0). Let y be q(u). Solve y*k - g = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16059.\nAnswer: 3, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**3 - r**2 + 2*r**2 + 5 + r - 1 - 4*r**3. Let m be w(0). Suppose t - 5 = 0, -m*t - 39 = -4*q - 3*t. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 - 10*c**2 - 2*c + 7. Does 16 divide s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/16)\/(i**(-4)\/i))**(3\/8) assuming i is positive.\nAnswer: i**(237\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 - 66. Suppose q = -4*z - g + 13, -5*z + 14 = -3*z + 2*g. Suppose z*d + 0*d - 60 = 0. What is the remainder when 57 is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -26, -53, -96, -161, -254, -381, -548?\n\"Answer: -a**3 + a**2 - 13*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -415 + 764. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5*x - 2*x - 8 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -745*x + 737*x = 2*u - 290428, -3*u = -x + 36284. What are the prime factors of x?\nAnswer: 2, 7, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1071752121 to the nearest integer?\nAnswer: 32738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 7*s + 5. Let k(c) = 4*c**2 + 17*c + 16. Let t be k(-1). Suppose -4*i + l - 5*l = 16, -l = t*i + 16. What is y(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 1:01 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 4:41 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 996 = 2*f + 2*x, 1986 = -0*f + 4*f + 2*x. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -986325*k**4 + 116*k**2*m**2 + 444260790*m**2 wrt k.\nAnswer: -3945300*k**3 + 232*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -34*w**5 - 4*w**4 - 4*w**3 - 31*w - 4. Let d(v) = -v**4 - v**3 - v - 1. Let l(k) = -4*d(k) + h(k). What is the second derivative of l(m) wrt m?\nAnswer: -680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/19, -0.3, 68, -2\/7, 0, 2.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/3, 42, -1, 0.265?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 9 - 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*v - 47*v + 34*v)*((2 - 2 - 1)*(3*v + v - 2*v) + 5*v + 0*v - 4*v + 0*v + v + v + v - 5 + 5) to the form z + o*v + c*v**2 and give c.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 17*d**2 + 17*d + 12. Give x(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -719 + 728. Suppose -4*n = -w + 25, 2*w - n + 0*n = 43. Calculate the highest common divisor of y and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i + 4. Let w be 9 - (1*-1 + 1). Let c(d) = -23 + 65 - 51*d + 72*d - 25. Give w*s(p) - 2*c(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/24 - w**3\/2 + 141*w**2. Let x(o) = -5*o + 16. Determine -11*c(z) - 2*x(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/(-1824)*70 - ((-30 - 8) + 34) and 109\/18.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/26*1888\/11. Let q = 100\/13 + i. Let b = -4409\/385 + 4\/77. What is the common denominator of q and b?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 3*k + 1. Let d be 1\/(-3) + 25\/3. Suppose -g + d = -3*g. What is b(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 2*h - 65. Let a(f) = 2*f + 1. Determine a(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvvnnynp. Give prob of picking 1 v and 1 n.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -149980*m - 83388879. Give y(-556).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-15200)\/(-660)) - 3\/8?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36118*u*z**3 + 2*u*z**2 - 5*u*z + 6544*u - z**3 + 5*z**2 - 2*z wrt z.\nAnswer: 216708*u*z + 4*u - 6*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*t + 9 - 7, t = -2*a + 2. What is the derivative of -20*u**3 - 4*u**a + 2*u**2 + 4*u**3 - 9 - 31 wrt u?\nAnswer: -48*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -128, -43, 38, 115, 188, 257, 322?\n\"Answer: -2*r**2 + 91*r - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let p(f) = -f**2 - 1. Let t(l) = -315*l**2 - 36. Let q(y) = -36*p(y) + t(y). Determine q(g(b)).\nAnswer: -279*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6261347.67 rounded to the nearest 10000?\nAnswer: -6260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*y + 6 = 15, 0 = 2*y + 4. Suppose 8 = 9*b - v. Let x(h) = 16*h. What is x(b)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45521, -91039, -136557?\nAnswer: -182075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 8:30 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = m - 5*m. Suppose -3*d - m*c + 1 + 0 = 0, 5*d + c = 13. Solve d*o + 0 = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 + 16*r. Let q(n) = n. Calculate q(g(s)).\nAnswer: 4*s**2 + 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -189.2, 309, -1\/8, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -187*b**3 + 3*b**2 - b - 1. Give d(1).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -8 (c) 0.2 (d) 0.3 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 19 = -11. Suppose 5*i = k*i - 140. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4e (base 16) to base 8\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38394496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*(7 - 8))\/((-3)\/72). Let m be 0 - -5 - (-6)\/(o\/444). Calculate the greatest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3, -2\/9, -0.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 12*k - 405. Calculate the highest common factor of k and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134041*d - 134012*d - 638 = 0 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/38418 and 37\/147269.\nAnswer: 883614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 7*z - 4. Suppose -5*y - 4 = -s + 10, 0 = s - 2*y - 11. What is the tens digit of h(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -21*q + 6. Let c be k(-4). What is the highest common factor of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209 + 15 = 32*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from tyryytyytyttyty.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -54, -1\/2, -7 in ascending order.\nAnswer: -54, -7, -1\/2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 + -316. What is the units digit of 3\/((-3)\/a) + -7 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p + 1. Let v be i(-1). Let n(s) = s**2 + s + 1. Let a(k) = 5*k**2 + 6*k + 6. Let o(b) = -2*a(b) + 11*n(b). List the prime factors of o(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1271*y**3 + 148*y**2 + 48*y + 2. Let u(d) = -424*d**3 + 50*d**2 + 18*d + 1. Let n(s) = 3*k(s) - 8*u(s). Find the third derivative of n(i) wrt i.\nAnswer: -2526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410 + 407 - 1226 - 8*r + 409 + 5*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 2*x**3\/3 + 2*x**2 + 5*x + 94. Let n(h) = -h**2 - 2*h - 2. Give -5*n(k) - 2*z(k).\nAnswer: k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1756889544?\nAnswer: 2, 3, 67, 1092593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 2. Let j(v) = -2*v**3 + v**2 - 3. Suppose 18*t - 21*t - 9 = 0. Give t*m(x) - 2*j(x).\nAnswer: -2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -10*o + 9*o. Calculate the smallest common multiple of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 1)\/((-75)\/100). Let 3*w**d + w**2 + 1513*w**3 - 1519*w**3 + 2*w**2 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -748905 + 1293766. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 + 120. Let f = 20 - h. Let p = -19 + 11. What is the second smallest value in f, -0.4, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -10. Factor 2*m - 4*m**2 - 3*m**3 - 4*m + m**p + 0*m.\nAnswer: -2*m*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 164 - 163.7. Let l = 7.4 - 2.37. Let b = 0.03 - l. Put b, -1\/9, y in ascending order.\nAnswer: b, -1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 42*z**2 - 7. Let k(u) = 2*u**2 - 1. Give c(f) - 4*k(f).\nAnswer: 34*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156146\/7 + 312859\/14. Determine g so that 27 - 393\/4*g**2 - 21\/4*g**4 + 63*g + a*g**3 = 0.\nAnswer: -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/2940*189\/108.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 29*a + 63. Determine k(-5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0*d**2 + 1\/3*d**4 + 0*d**6 + 0 + 13\/42*d**7 + 0*d**3 + 0*d**5 + 13*d. Find the third derivative of l(x) wrt x.\nAnswer: 780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 7314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11507 and 0.02.\nAnswer: 230.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/120)\/(1\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a + 876. What is the smallest common multiple of n(-24) and 9?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/15)\/(v*v**(1\/4)))\/((v**1\/v*v)\/v)**(1\/8) assuming v is positive.\nAnswer: v**(-67\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2 + -5 + (sqrt(171) + sqrt(171) + (sqrt(171) + 2 - sqrt(171)))*-4)**2.\nAnswer: 468*sqrt(19) + 6325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 78\/179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105840 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4722920 by 5.\nAnswer: 944584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.1 - 4.09678. What is j rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 15327621.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2\/5*d**2 + 34\/5*d + 32\/5 = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 31*b**3 + b - 2. Suppose -2*a = 5*h - 8*h + 9, -2*a = -2*h + 6. List the prime factors of t(h).\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**3 + 22*o**2 - 36824*o - 4631638.\nAnswer: 6*o**2 + 44*o - 36824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-3 + -3 + 3 + 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 17*h + 9 + 17*h)*(53*h**2 - 101*h**2 - h - 177*h**2).\nAnswer: 450*h**3 - 2023*h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 3\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100101000111010111110 (base 2) in base 15?\nAnswer: 10623a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 n, and 1 m when four letters picked without replacement from {m: 8, h: 1, n: 4}?\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 446753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 8*p**2 + 8. Let k be a(-8). Suppose 2*z - 11 = -5*m, 4*m - 2*m - k = z. Suppose -m*q - 2*q + 10 = 0. Solve 16 = 6*d - q*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 11:23 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 + 30. Let x = 136 + g. Suppose 5*h = 4*h + x. What is the greatest common divisor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-52) - (-1 - 1\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-1*6 + (sqrt(288) - ((sqrt(288) + 1 - sqrt(288)) + 2)))*-4 + ((-3 + sqrt(288))*3 - -5*sqrt(288)*-3)**2.\nAnswer: 2832*sqrt(2) + 41565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - c**2 - 4*c. Suppose 5*k = -117*d + 120*d + 6, k + 4*d - 15 = 0. Give u(k).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2*k)*((3 - 2*k - 3)*(0 - 2 + 3) - 3 + 3 - k + 0*k - 2*k + 0*k - 1 - 15*k + 29*k - 6*k) to l*k**2 + w*k + v and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2793) - -1*1*sqrt(2793))\/(-5*(sqrt(147) - (sqrt(147)*1 - sqrt(147)))))**2.\nAnswer: 76\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 11. Sort r, -2, 0.\nAnswer: -2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -16 - (27 - (-6 + -30) - 18)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550) - (sqrt(550) - (sqrt(550) + (sqrt(550) - -3*sqrt(550)*-6))))\/sqrt(10))\/((sqrt(40)\/sqrt(2) + sqrt(20))*1).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(3\/11)*(o**(-1\/2))**47*((o\/(o**(1\/5)\/o))\/(o**(1\/8)\/o))\/((o**(-1)*o)\/o**(-6\/5)) assuming o is positive.\nAnswer: o**(-9571\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -1\/2*x**3 - 7 + 7*x**2 + 1\/2*x = 0.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-616)\/(-70))\/(3\/(105\/(-14)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*x + 71*x - k + 7 = 0, -2*k - 19 = -3*x. Let y(w) be the first derivative of 0*w**2 + 2\/45*w**x + 0*w - 9. Solve y(r) = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**2\/8 - 755*p\/4 + 82839\/8 = 0?\nAnswer: -1563, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27577 + 27562.681. Round w to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 - -107. What is the tens digit of 15*-3*d\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*b + 8 = 0, -2*b = -y - b - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5 + 20. Suppose i - 6 = -4. Put -4, i, y in decreasing order.\nAnswer: y, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -13826374 and -13826376 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5748 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*j - 4. Let z(i) be the second derivative of -i - 1\/4*i**3 + 1\/20*i**j + 3\/40*i**5 + 0*i**2 + 0 - 1\/8*i**4. Solve z(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - p - 9 = 0. Let z(y) = y**3 - 11*y**2 - 26*y + 2. Let t be z(13). Let n(i) = -3*i**3 + 2*i**3 - 6*i + 121*i**t - 114*i**2 - p. Calculate n(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 174 - 174 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2420) - sqrt(2420))\/(sqrt(50)\/sqrt(125)).\nAnswer: -165*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -5.7. Let j = -96.143 + 95.7. Let q = j - -0.043. What is the nearest to -1\/3 in w, 3, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, u: 5}. What is prob of picking 1 m and 2 u?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - 0.7. Let z = 0.1 + l. Let t = -0.2 - 0.3. Which is smaller: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - 21?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 - y**5 + 2*y**5 + (-y**2 + 0*y**2 + 2*y**2)*(-y + y + y**3) - 97 + 94 + 35*y**5 + 29*y**5.\nAnswer: 66*y**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, x: 5, a: 3, b: 1, c: 6, z: 1}. Give prob of picking 2 a, 1 k, and 1 z.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**3*p**2 + 1352*k**3 - 75425*k**2*p**2 - 44 with respect to p.\nAnswer: -4*k**3*p - 150850*k**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887893047.\nAnswer: 3, 19, 53, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2. Let m(u) = -8 - 5 + 14*u - 3*u - u**2 - 2*u**2 + 17. Let k(w) = 5*w**2 - 19*w - 7. Let c(n) = -4*k(n) - 7*m(n). Calculate 6*c(i) - 5*l(i).\nAnswer: i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (140\/8 - (-10)\/(-4))*16. Solve 0 = -28*y - 12*y - q for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 12) to base 8\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 5*h - 17 - 7*h. Let w(p) = 2*p + 18. Let f(l) = -4*j(l) - 3*w(l). Let z be f(6). Solve 0 = i - 0 + z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0252 - -428.9748. Let t = 423 - g. Which is the closest to t? (a) 1 (b) -3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (0 - 3) + 23 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10768*p + 21182*p - 10612*p.\nAnswer: -198*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.213 or -7598?\nAnswer: -0.213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*p + 19, -p + 5*p + 8 = 0. Suppose -2*b + 10 = -b. Let g = b - d. Calculate the remainder when 20 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 + 1?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 times 0.8?\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 221*h - 1973. What is o(9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 6475.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 25. What is l(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 3*v**2 - v**2 + 4*v**2 + 6*v**2 - 6*v**2 + (-2*v**2 + 3 - 3)*(5 - 6 - 1) + 4*v**2 + 2*v**2 - 2*v**2 in the form u + r*v**2 + h*v and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from {u: 9, e: 3, s: 1, h: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24*145.51.\nAnswer: -34.9224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133355 is divided by 523?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-3\/2)\/u))\/u)**6\/((u*u**19\/u)\/(u\/u**7)) assuming u is positive.\nAnswer: u**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -431384864 to the nearest one million.\nAnswer: -431000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51561203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -15. Let o = 13 + q. List the prime factors of (44\/o)\/((-1)\/(-14)).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (66\/(-21))\/(30\/105) - -13692?\nAnswer: 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*i - 555, 0*i - 2*i + 368 = 2*z. Calculate the greatest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -517 divided by -272491\nAnswer: 517\/272491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (276\/(-184) - 30\/4)*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328205060 to the power of 1\/2, to the nearest integer?\nAnswer: 18116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8216, -3, -5 in descending order.\nAnswer: 8216, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15925.23l to millilitres.\nAnswer: 15925230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(2) - (sqrt(2) - (-1 + sqrt(2)))) + sqrt(2) + 4 + -2.\nAnswer: 1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79458.\nAnswer: 2, 3, 17, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -813.1 and -4.\nAnswer: -817.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-5) + (-3)\/(-2). Let d be (-3)\/(-2)*3\/18. Let r = -2.2 + 2.3. Which is the nearest to r? (a) w (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 + 490981*r\/5 - 3927784\/5.\nAnswer: -(r - 490973)*(r - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/27 (b) 1.2 (c) -0.32 (d) -15 (e) 0 (f) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188 + -509. Let f = p + 363. What is the remainder when f is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -7, -434, 2, 42, 1 in descending order.\nAnswer: 42, 5, 4, 2, 1, -7, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000185685 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1685816 and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 12*q. Let b(d) = d**3. Let h be b(1). Let l be a(h). Suppose 3*v - 6 - l = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -750*l + 0*l - 693*l + 13*l - 247*l to the form f*l + v and give f.\nAnswer: -1677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from pqyqyqqqqoyppqpyqqqp.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.27 in 0.3, -2, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 41. Suppose -4*t - u*x = -192, x + 21 + 27 = t. Find the third derivative of 35*o**2 - 12*o**3 - t*o**2 + 0 + 0 wrt o.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66175 divided by -13235\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 3, -1, -10, -529, 6.\nAnswer: -529, -10, -1, 1, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2442267 by -101.\nAnswer: 2442267\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 53 + 237?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -17)\/((4 - 8) + 2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, -6\/113, -15, -4, 8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(38\/570)\/((-6)\/4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.35118565111 from 162.\nAnswer: 160.64881434889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (54\/(-10))\/3. Let n = -78.845 + -0.155. Let x = 79 + n. Is g greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 48 - 114 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -543.6 and 0.209?\nAnswer: 543.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3824*s + 7671*s - 3591*s - 10 + 10 + 20*s**2 in the form m + f*s + a*s**2 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -452.5 and -0.5.\nAnswer: 226.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 107. Let y be (15\/(-12))\/(-1)*k. What is the highest common divisor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -18, 29, -7, -20, -4.\nAnswer: -20, -18, -7, -4, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 978690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 516164423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(10) + sqrt(160)))\/(sqrt(500)*-3 + sqrt(500)) + 4)**2.\nAnswer: 10*sqrt(2) + 153\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 99?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 7*q - 315. What is the greatest common divisor of q and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73724 to the nearest one hundred.\nAnswer: -73700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (4 + 2 + -7)) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n + 2. Let g be t(-2). Let y be g\/(-4)*(-4)\/(-3). Suppose 5*h + 31 = -2*f, 4*h + h = -5*f - 40. Sort -14, y, h in decreasing order.\nAnswer: y, h, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -132679 at least -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139 - 25 = 19*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 3) in base 6?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7479632 divided by -4.\nAnswer: 1869908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (7 + (-2 - (-3 + 10)) + 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 219196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(sqrt(847) + -3 - sqrt(847)) - (sqrt(847) - -3*(2 + sqrt(847))))**2.\nAnswer: -528*sqrt(7) + 13586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-18)*4*(-2 + 8). Solve -4*l - 12 = -2*f, -12 = y*f - 3*l + 7*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*r**4 - 623*r**3 + 20580*r**2 - 131645286*r wrt r.\nAnswer: 48*r**2 - 3738*r + 41160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/5)\/((-2)\/5). Suppose -z*r + 5*l = -26, 3*r - 32 = 2*l - 0*l. Let x = r + -5. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11759*s**2 + 3233*s**2 + 18963*s**2 + 8327*s**2 in the form x*s**2 + h + f*s and give x.\nAnswer: 18764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001754565 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - 28*p**2 - 2242*p + 29392. Calculate w(13).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*u + 53*u = 0. Let z = 3.08 + -0.08. Which is smaller: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30 + (4\/2)\/(-2). Let i = -8 + x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3615641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + j + 3*j + (96 - 96 + 85*j)*(4 - 6 + 0)*(-4 + 3 + 4) + 16*j + 13 - 13 to the form y*j + q and give y.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 - -3.07. Let x = -0.04469 - 2.95531. Let o = -5 - -3. What is the second biggest value in h, o, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.65886, -0.021, -0.3, 0.\nAnswer: -5, -0.3, -0.021, 0, 1.65886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13240 + 361?\nAnswer: 13621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2732, 2726, 2716, 2702?\nAnswer: 2684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i = 3. Let x be (-10)\/4*i\/10. What is the nearest to -1 in 2, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d + 67. Let v(a) = 6*a - 66. Give 4*r(n) + 3*v(n).\nAnswer: 2*n + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 0.1307?\nAnswer: 0.1307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-8) + 4)*36\/(-21). Let t(j) = -7*j**3 + 4*j**2 - 4*j - 6. Let k = 18 + -5. Let i(z) = -15*z**3 + 8*z**2 - 9*z - 13. Give k*t(d) + y*i(d).\nAnswer: -d**3 + 4*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4297077 kilograms to milligrams.\nAnswer: 429707.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccrshcsr. What is prob of sequence hc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 355478 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 2*d + 12 = 0. Let r(x) = x + 3. Let p be r(0). Suppose p + d = 2*z. Is 2 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -828*u**3 + 34*u**2 - 23*u + 1732326 wrt u?\nAnswer: -2484*u**2 + 68*u - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.9 + 4.1. Which is the third biggest value? (a) h (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10836728 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 672*n + 1. Let j(a) = -2*a + 15. Let t be j(7). Let i be g(t). Suppose -4*o + i = 21. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2846152*y - 31078663 wrt y.\nAnswer: 2846152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 44*4124\nAnswer: 181456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/5 - 54*i**4\/5 - 1114034*i**3\/5 + 334739166*i**2\/5 - 1960519536*i\/5 - 459274536 = 0. Calculate i.\nAnswer: -855, -1, 7, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/86114 and -11\/49.\nAnswer: 602798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 29 = -97. What is the highest common factor of 14 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4201 + -3?\nAnswer: -4204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/9 + 92*k**3\/9 + 454*k**2\/3 + 6992*k\/9 + 11552\/9.\nAnswer: 2*(k + 4)**2*(k + 19)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 5) in base 16?\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**(-7\/5))\/(o\/(o\/(o**6\/o*o*o)*o)))\/((o*o**(-3))\/o)**32)**31 assuming o is positive.\nAnswer: o**(14477\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 370, 2055, 4958, 9157, 14730, 21755, 30310?\n\"Answer: 13*g**3 + 531*g**2 + g - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33062*g**2 - 2652*g**2 - 13311*g**2 + 37961*g**2.\nAnswer: 55060*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -177, 2292, 8989, 22026, 43515, 75568?\n\"Answer: 352*h**3 + 2*h**2 - h - 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8923 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2)*(5 - (4 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:16 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 + 173*a - 43. Determine x(-58).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -4. Let n = h - -16. Which is the nearest to 1? (a) -2\/5 (b) n (c) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/42*(-18)\/150*-42)\/((-12)\/40).\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3 + (156835\/(-21))\/(-5). What is the greatest common divisor of k and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (4 - -3 - 13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -248510000 to the nearest 1000000.\nAnswer: -249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535664260.\nAnswer: 2, 5, 26783213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 4*l = 4*o + 1520, -2*o = 5*l - 781. Let j = o + -378. Solve -g = -5*h - 15 - j, -h - 15 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95865 times -3?\nAnswer: 287595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2 - 1 + 1 + s. Calculate u(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 16*b**2 - 5*b + 2. Let m(x) = -6*x**2 + 2*x - 1. What is -14*m(k) - 6*r(k)?\nAnswer: -12*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 m when three letters picked without replacement from {m: 4, k: 2, e: 2, g: 3, x: 2, p: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*c**4 - 2955*c**3 + 5*c + 19 - 77 + 2983*c**3 wrt c.\nAnswer: 132*c**2 + 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520537223 to the power of 1\/2, to the nearest integer?\nAnswer: 22815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 2*a - 2. Suppose -23*j = -56*j - 33. Let p = -3 + 2. Let w(r) = -r**2 + r. Determine j*w(g) + p*o(g).\nAnswer: 2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 - 1. Let x be j(3). Suppose 107*l = 94*l + 156. Let b = x + l. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2708937 divided by 2\nAnswer: 2708937\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n - 39. Let i be r(-6). Suppose 0 = -x + i, -5*a + 5*x = -2*a + 6. Suppose -a*b = -0 - 12. Solve b*d + 3*w = 35, -2*w = w - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*l - 2 + 7, -4*f = -2*l - 30. Let a = -5 + f. Suppose 78 = 2*q - 5*p, 0*p - 180 = -5*q + a*p. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6779973 is divided by 50222.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p + 2*p - 1 + p**3 + 5*p + 8*p**2 - 2*p**3. What are the prime factors of m(7)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -13, -2, -10, 0 in decreasing order.\nAnswer: 4, 0, -1, -2, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 7*s**2 + 9. Let a be f(-7). Is 3 a factor of (a - 6) + 7\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from ikii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -19*s + 9. Let o be k(-1). Suppose o*q - 1980 = 19*q. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(1200)))**2.\nAnswer: 2000*sqrt(3) + 30100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 4\/7, -2\/9, -4, -380.92, 1\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 548 and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6756 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - g + 3*g)*(2*g - 2*g + 2*g)*(0 + 1 + 1) in the form v + c*g**2 + p*g and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1d8 (base 16) to base 12\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 522 times 6\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 33 = -2*c + 3*h, 71 = 4*c - h. Solve 3*j + 3*b - c = 0, 3*b - 11 - 3 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 416812709 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from zngllzlqzqnllznggzbg.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -51060 greater than -51058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/429569 and -99\/3052.\nAnswer: 1718276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 - -68. Solve -2*d + 16 = -4*j, 0 = 3*j - 2*d - d + f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17288, 17378, 17468, 17558?\nAnswer: 17648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*g**3 - 688*g**3 + 302*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5 + 21*d - 13*d - 4*d - 6*d. Let v be i(-4). Suppose 4*h + 2*f - 154 = 0, v*f + 82 = 2*h - f. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.401 + 213.599. Let w = d - 191.6. Let c = 22 - w. Put -5, c, 3 in decreasing order.\nAnswer: 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198068771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*sqrt(539)*-1)**2 + -4 + 1 + sqrt(539) + sqrt(539))*4.\nAnswer: -34448 - 224*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 27)*16\/(-32). Let l(y) = y**2 - 15*y + 27. Let q be l(h). Let b = 4.3 + -0.3. Is q less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = n - 2, -4*n + 12 = 2*t. Suppose 16 = 3*c - 2*y - t*y, 0 = c + 5*y - 11. What are the prime factors of (5 + 45\/c)*12?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 16 - 11 = 0. Let d(z) = -24 - z**2 + i + 20 + 6 + 8*z. What is d(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1020 and 1745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2200 and -181\/990?\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2395619.\nAnswer: 101, 23719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -224, -337?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -122*g + 67*g + 52855. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**2 + 318*h + 677. Let w be n(-2). Factor 0*o**3 + 1\/4*o**w - 1\/4*o + 1\/2*o**4 - 1\/2*o**2 + 0.\nAnswer: o*(o - 1)*(o + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*g + 4 + g**3 - 4.\nAnswer: g**3 + 28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*33185\nAnswer: 2654.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 531*h. Let c(r) = -76*r. Let z(v) = -36*c(v) - 5*j(v). Let x(s) = -2*s**2. What is x(z(o))?\nAnswer: -13122*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a micrometer in nanometers?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*f + 187 + 13 = -31*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 2*g - 6. Let z be f(6). Let n = z + -4. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -346761 - -346760. Let j = -0.5 + 1. Sort 26\/11, p, j in increasing order.\nAnswer: p, j, 26\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-45))\/(8\/20)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2316, 18637, 62940, 149217, 291460?\n\"Answer: 2332*o**3 - o**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3714903?\nAnswer: 3, 45863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33, -107, -231, -405, -629, -903?\n\"Answer: -25*i**2 + i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187750166 to the power of 1\/3, to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of ((1 - 1) + 1750)\/(14\/252)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 6*u**2 - 7*u + 2. Let x be z(7). Suppose -o + x - 4 = 0, -2*o - 10 = -g. What is the units digit of g\/2*(-10)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 958410?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 7 + 13*g**2 - 13 as p + l*g + y*g**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 divided by -3?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -266*h**4 + h*q - 496*q + 2 wrt h.\nAnswer: -1064*h**3 + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9774.5 times -5?\nAnswer: 48872.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4064*w - 45024 = -2368*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 260 or 11419\/44?\nAnswer: 11419\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550 = 20*w - 1930 for w.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**6 - 8525*y**4 - 30*y**2 + 176*y?\nAnswer: -360*y**3 - 204600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -482.836 - -483. What is f rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*w - 3*w - 2*q, 43 = -3*w - q. Let j(u) = 1098*u - 2201. Let c be j(2). Put -4, w, c in decreasing order.\nAnswer: -4, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173.23 + 174. Let k = 0.7 - s. Let u = k + -2.93. What is the biggest value in u, -2\/11, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*k**4 + 2 - 2*k**4 + 8*k**4 - 2*k**4 with respect to k.\nAnswer: 52*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222212 - -10022210?\nAnswer: 20022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1341 + -41040?\nAnswer: -34144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1993 - -21951\/11. Calculate the common denominator of v and 71\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -390? (a) -0.4 (b) -0.07 (c) -1014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b + 3*x = 12, -2*b + 40 = 2*x. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 7 - (-6 + 2)*-1. Let u = 1262\/91 + -96\/7. Which is the smallest value? (a) u (b) 4 (c) -2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -3*g - 6. Suppose -v + 0*v + g = 0. Suppose b = -3*b + v. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 - 588*a + 1191. Let n(t) = -9*t**2 - 1763*t + 3572. Let q(f) = -3*n(f) + 10*u(f). Factor q(x).\nAnswer: -3*(x - 2)*(x + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 2*w - 1, c + 11 - 10 = -3*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/53 (b) 0.9 (c) -0.5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5)**(-38)*l*l**(-4\/7)*l*l**(-12))**(2\/73) assuming l is positive.\nAnswer: l**(-2808\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 - 6*c**2 + 6*c - 6. Let o be h(2). Let b(w) = -2*w**3 + w**2 - 4*w - 5. Let m be b(o). Solve -m*g - 5 = -18*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 63*z**4\/4 + 417*z**3\/4 + 39*z**2 - 123*z - 36 = 0. Calculate z.\nAnswer: -6, -4\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27614138 or 27614119?\nAnswer: 27614119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 25*l - 10*l - 13*l. Let v(q) = -21*q. What is s(v(h))?\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 169, 338, 507, 676, 845, 1014?\n\"Answer: 169*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -2*r**3\/3 + 9*r + 19. Let g(l) = 3*l**2. Calculate o(g(z)).\nAnswer: -18*z**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.037*-28.\nAnswer: 1.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 417 and 74082?\nAnswer: 10297398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 2544.\nAnswer: -76.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 5765.\nAnswer: 7\/5765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 5*n + 5888. What is the hundreds digit of z(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-18))\/(2 - 0). Let i be -2 + ((-18)\/(-10) - 0). Which is the smallest value? (a) i (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 + 2 - 2 + (-3*d + 5*d + 3*d)*(-278*d**2 - 279*d**2 + 556*d**2 + 18*d**3 - 4) to the form p*d**2 + a*d + b*d**4 + n + o*d**3 and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 4:19 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/8 + -1*1. Let l(t) = -2*t**4 - 3*t**2 - 2*t. Let z(a) = a**4 + a**2. Let g(r) = n*l(r) + 3*z(r). What is the second derivative of g(u) wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 20 - 3*s**3 + 15\/16*s**2 + 0*s - 15\/32*s**4. Factor f(t).\nAnswer: -3*t*(t + 5)*(5*t - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - ((-58)\/(-20))\/((-18)\/(-36)). Let d be -1 - 2\/9*-3. Which is the third smallest value? (a) w (b) 2\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/8 - 24939*i\/8 - 6235\/2.\nAnswer: (i - 24940)*(i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -470, -1196, -2608, -4934, -8402?\nAnswer: -13240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 72 and -0.33.\nAnswer: -23.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + w - 16 = -4*y, -3*y - 3*w = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8 = -3*s - 29, -s - 49 = -5*y. What is the greatest common divisor of y and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 = 19*l + 25*l - 330 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 4*z - 20. What is the least common multiple of (1 - z\/(-6))*33 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.274705 + 0.007895. What is i rounded to three decimal places?\nAnswer: -0.267","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -17) + 19 + -42 - -20\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -13*a + 70. Suppose 0 + a = 5*t. Determine j, given that -2\/5*j**3 - 54\/5 - 54\/5*j - 18\/5*j**t = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 8*x + 22. Let i be b(10). Solve -10 + 4 = -i*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 34. Suppose 13*v - 42 + 250 = 0. Let r be y(v). Let f(p) = -9*p**3 + 2*p**2. Let j(q) = -10*q**3 + 3*q**2. Give r*j(k) - 3*f(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -13*d - 2. Does 14 divide f(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 801\/99)*((-20)\/(-24) + 1)*-6\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 4982380.\nAnswer: 1\/996476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:07 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 3, -0.1, 28, 12, 49?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t. Let q = -150 + 252. Let o(l) = -q*l + 47*l + 51*l. Give 5*n(i) + 6*o(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1030031213 + 0?\nAnswer: 1030031213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118800 and 88?\nAnswer: 118800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2337 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + t + 1. Let f(j) = -7*j**3 - 2*j**2 - 8*j + 6. Calculate -f(k) + 5*v(k).\nAnswer: 2*k**3 + 2*k**2 + 13*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.17.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2118818\/309 - 6857. Let a be 4\/(-12) + (-48550)\/8652. Let z = q + a. Find the common denominator of z and -39\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2322 and -62\/122335?\nAnswer: 6606090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**3 - 1499*h**2*p**3 - 382*p**3 + p**2 wrt h.\nAnswer: -3*h**2 - 2998*h*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010100 + -100111?\nAnswer: 111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(42\/(-7)))\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c2 (base 14) in base 6?\nAnswer: 12014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136 and (-40)\/(-32) + 14205\/60.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j**2 - 9*j + 2. Let v be s(7). Suppose x = 30 - v. What is the units digit of (-2 - -2) + 9 + 3 + x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3782714.\nAnswer: 2, 13, 73, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4647869995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-4176)\/928*(-6)\/(-81))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18280 divided by 38.\nAnswer: -9140\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1141*w - 40 = 4*k + 1145*w, 3*k - 2*w + 55 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 100454 or 100443?\nAnswer: 100454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 12503*k**2 - 59 + 31.\nAnswer: -12503*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/9*q + 2\/9*q**3 - 8\/9 - 10\/9*q**2 = 0. What is q?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 16. Suppose t - 4*s = 0, 10*t - 5*t = -a*s. Suppose 2*k - 5*q = 6*k - 419, -5*k - 2*q + 528 = t. What is k rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6*(-4)\/(-4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r - 639. Let c be l(45). Put c, -0.02, 0.4 in descending order.\nAnswer: 0.4, -0.02, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212679?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1110.067345 and -4.\nAnswer: -1114.067345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 125.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0186 (b) 4\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*f - 11*f = 25*f - 2601024. Is f a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21612.4 to the nearest one hundred.\nAnswer: 21600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*c, 15 = 2*p - 5*c - 76. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2 = 2*d, -3*d + 4*z - 11 = -8*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 20*a**2 - 2*a + 3. Let q(w) = 59*w**2 - 6*w + 10. Determine -2*q(l) + 7*s(l).\nAnswer: 22*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w - 38. Calculate z(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(20\/11))\/g**(1\/5))\/(g\/(g*g**(1\/11))*g**(-10)\/g))**(-47) assuming g is positive.\nAnswer: g**(-26038\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3033 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 - 6*y + 6. Let a(v) = 9*v**2 + 0*v**2 - 1 - 10*v**2 + v + 0. Calculate -6*a(b) - s(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2 - 2)*(-p**2 + p**4 + 0*p**2 + 2*p**4) - 3*p**2 + 3*p**2 + 2*p**5.\nAnswer: 5*p**5 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27148848 divided by -6787212.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-1)*20\/(-15). Let n = -4 - o. Solve n - 12 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjfppkvggpvggpgpjgvg. Give prob of sequence gk.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 2*l - l)*(2 - 1 - 5 + (-3 - 1 + 1)*(-1 + 1 + 1) + (3 + 17 - 7)*((-5 + 3 + 1)*(-3 - 2 + 7) - 2 + 0 + 1)).\nAnswer: -46*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/(-50)*(-1232)\/(-98)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x**3 - 8*x**3 - 7*x**3)*(-6 + 2*x + 9 + 1).\nAnswer: -52*x**4 - 104*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-10)*2 - 9616\/(-3202). Let n = z - -164843\/19212. Calculate the common denominator of (-5)\/((-600)\/(-222)) - (1 - 1) and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y - 2. Let s(k) = 6*k + 3. Suppose 1020 = -10*v + 5*v. Let l be (-6)\/(-27) + v\/(-54). What is l*s(p) + 7*z(p)?\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 4*c - 3, -5*w = -2*c + 12 - 33 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.77 + -0.23. Let p be ((-2 - -2)\/(-1))\/2. Sort s, p, -3 in ascending order.\nAnswer: -3, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**3*m*u**5 - 22*f**3*u - 2*f**2*m*u**2 - f**2*m*u - 1050637*f*m*u**3 + 3*f*m*u - 2*f*u**2 + 1888*m*u**2 wrt u?\nAnswer: 240*f**3*m*u**2 - 6303822*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3768024 is divided by 2921?\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**2 - 563*o - 9472. Give a(-72).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16105 - 9620. List the prime factors of b.\nAnswer: 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - q - 16 = 0. Solve 1\/4*o**q + 0*o - 1\/4 = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -32. Let u(h) = -h**3 + h**2 - 6. Let r be u(0). Let y = 54 + r. Calculate the highest common factor of k and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3112967\/56 + 55587. What is the common denominator of g and -51\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -268c (base 15) to base 6.\nAnswer: -102040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2223654 is divided by 247030.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/23, 2.4, 1, 54 in ascending order.\nAnswer: 2\/23, 1, 2.4, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:41 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -15. Suppose d*r = 7*r + 4. Let g(k) = -k**2 - 2*k - 2. Let o be g(-1). Do r and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 288 + -2?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72560041?\nAnswer: 881, 82361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/10 and (-13 - -11)\/(-9 + 853).\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -208, -1040, -3300, -7702, -14960, -25788, -40900, -61010?\n\"Answer: -119*a**3 + a - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44841296 + 44841303.3731788. Let o = 1.57315 - c. Let x = 5.8 + o. What is x rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7a + ded1de?\nAnswer: ded164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*p**3 - 20*p**2 + 3*p**3 + 20*p**2 + 4*p wrt p?\nAnswer: 102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 10 = -8*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**4 - 18810*h**3 + 37655*h**2 + 56460*h = 0.\nAnswer: -3764, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 2261144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 287732 and 10.109?\nAnswer: 287721.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - 0. Let q = p - -67.001. Let h = q - -0.199. Which is the closest to -2\/9? (a) 3 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125 - -132. Solve -2*g + 25 = -o*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -16. Find the common denominator of -4 - ((-15)\/12)\/(i\/(-38)) and 4\/49.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 + 92*g\/3 - 86.\nAnswer: -2*(g - 43)*(g - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - 2*sqrt(110) - sqrt(110))\/sqrt(10) - ((sqrt(44)\/(sqrt(4) + 2*sqrt(4)))**2 - sqrt(11))) + 6*(4 + sqrt(44))**2.\nAnswer: 95*sqrt(11) + 3229\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 218 + 132 - 460 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31322*i + 78385 = -6301*i - 187982 - 33885 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(14*b**2 + 16*b**5 + 20*b**5 - 15*b**2).\nAnswer: 72*b**5 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -6, -3, -4442 in descending order.\nAnswer: -3, -6, -20, -4442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 817*a**6 + 79*a**2 wrt a.\nAnswer: 98040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = h + 4*s, 4*h - 268 - 32 = 6*s. What is the highest common divisor of 2320 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8742031 is divided by 130478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 110021212 (base 3) to base 7\nAnswer: 35060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 706 divide 146848409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 27*r**2 + r + 45. What is the remainder when 104 is divided by v(-27)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, y: 11}. Give prob of sequence ppy.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -452985, -905973, -1358985, -1812033, -2265129, -2718285, -3171513, -3624825?\n\"Answer: -2*x**3 - 452974*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 + 46*v + 83. Let o be n(-14). Put 5, -0.03, o in descending order.\nAnswer: o, 5, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/((-1)\/((-87)\/6)). Suppose p = 3*z - m, 0 = 2*m - m. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4352127\/46 or 94612?\nAnswer: 4352127\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*k**2 - 7805*k + 7809*k + 42*k**2 + 1 + 28*k**3 as m*k**2 + n + p*k + s*k**3 and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80233 is divided by 13371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 125 - 13 = 0. Suppose -1595 = 3*g - r*g. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18157925, 36315849, 54473773, 72631697, 90789621, 108947545?\nAnswer: 127105469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Let d = 16 - 14. Factor 32\/3*x**5 + 0 + 0*x**d + 0*x + 16\/3*x**4 + 2\/3*x**f.\nAnswer: 2*x**3*(4*x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*t - 3*d, -2 = -2*t - 2*d + 2. Let r = -3 + 10. What is the remainder when (1\/t)\/(2\/(-44)) is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2968677 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 162205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -1\/3*s**6 + 0*s + 0*s**3 + 3 + 0*s**5 + 1\/2*s**4 + 0*s**2. Factor h(k).\nAnswer: -2*k**3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/508389 and 80\/21957.\nAnswer: 6609057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 215*n**2 - 7. Let s(b) = -71*b**2 + 2. Calculate -2*d(p) - 7*s(p).\nAnswer: 67*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*p - 4*d + 7, -p + 3*d - 12 = 0. Let z = 7 + p. Let w be z\/(-4) + (-105)\/(-20). What is the greatest common divisor of w and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (260\/(-39))\/((-115)\/138).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5 - 1 = 0. Let q be ((0\/(-1))\/(-2))\/h. Let s be q\/((3\/1)\/3). What is the closest to s in 0.4, 4, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -247*s**3 + 26*s**2 - 13*s - 51. Let f(d) = -122*d**3 + 12*d**2 - 6*d - 24. Determine 13*f(g) - 6*q(g).\nAnswer: -104*g**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 1. Let z(s) = -s**2 + 8*s + 2. Let l(t) = -h(t) - z(t). Let x be l(7). Let m be (2\/x)\/((-1)\/(-2)). Sort -1, m, 4 in descending order.\nAnswer: 4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3249*w - 976*w + 1292*w - 2.\nAnswer: -2933*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 40128908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100986693 is divided by 25246673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 24.1\nAnswer: -9.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9981 and 0.01.\nAnswer: 99.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6691227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4842 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 5*s**2\/2 + 33*s + 479. Let p(n) = 9*n + 65. Determine -11*k(o) + 6*p(o).\nAnswer: -o + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*-6*-2*sqrt(68))\/((sqrt(32)*2)\/(5*-2*sqrt(2) - sqrt(2)))*-5.\nAnswer: 3960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + (-2 - -8))\/1. Suppose 0 = m - f - 6. Suppose -146 + 41 = -5*o. Calculate the remainder when o is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -11. Let l = 10 - 6. What is the first derivative of u - l + u + z*u wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 4. Let m(v) = -4*v - 3*v + 5*v + 11. Let s = 24 - 16. Let z = -3 + 0. Determine s*y(p) + z*m(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 0.5. Let j be 15\/(-35) + (-11)\/7. Let h be j - (-3 - (0 + 1)). What is the third smallest value in h, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**12)**(-5\/9)\/(b**(-3\/8)\/b)**32)**(1\/3) assuming b is positive.\nAnswer: b**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -z + 1, -2*v = 5*z - 6*v - 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -34*t**3\/11 - 444*t**2\/11 + 450*t\/11 + 28\/11 = 0.\nAnswer: -14, -1\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3807108 and -109\/15228432.\nAnswer: 15228432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*(-6)\/8. Let i = -255853 + 255852.5. What is the third smallest value in 2\/19, i, j, -2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 11:59 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l - 30*l**3 - 33*l + 16*l**3 - 40*l**3.\nAnswer: -54*l**3 - 78*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 163*g.\nAnswer: -163*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 21*p**2 - 37*p + 34. Let q(n) = n**3 - 22*n**2 - 37*n + 35. Let w(z) = 6*c(z) - 5*q(z). What are the prime factors of w(18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298978 rounded to the nearest 1000?\nAnswer: 299000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -1 + -5 - sqrt(1250).\nAnswer: -24*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2*k = 4*q - 4*q + k, 7*k + 11 = -2*q + 51 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6244 (base 8) to base 4\nAnswer: 302210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 71?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*i**5\/2 - 525*i**4\/2 - 1059*i**3\/2 - 15*i**2\/2 + 156*i - 30 = 0.\nAnswer: -1, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 1. Let c = 1 + -2. Calculate k(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15468 and 63939556?\nAnswer: 5156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1354 = -585*p + 294*p + 412*p + 5906 for p.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*a - 5 = -291*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/7 or 7\/12?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(4 + 2*h - 4) + 0*h + 2*h - 3*h + 5*h - 8 + 8 + 3*h - 2*h + 0*h - 5 + 5 - 1 + h.\nAnswer: 10*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2994 - 3016. Put -5, -0.2, v in decreasing order.\nAnswer: -0.2, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 3*r - 4, -24 = -4*x - 9*r + 11*r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -54. Let x be (32\/(-2))\/(-4) - y. Let w = x + -28. Do w and 6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-47.5\nAnswer: -237.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 11:16 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 116, 145, 200, 287, 412, 581, 800?\n\"Answer: z**3 + 7*z**2 + z + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.56144 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 656, 5285, 17856, 42341, 82712, 142941, 227000, 338861?\nAnswer: 482496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times -11?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/220 and -67\/176.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -636 - -7489\/12. Find the common denominator of k and -131\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*d + 20650 = 295*d + 626*d for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337, -714, -1363, -2302, -3549, -5122?\nAnswer: -7039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 87?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (96\/(-9))\/((-1)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 65 = -2*n, f - 25 = 2*f + 4*n. Which is bigger: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 317, 1, -1489, -3 in descending order.\nAnswer: 317, 1, -3, -4, -1489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 450804 greater than or equal to 901609\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d - 16 = -o, -25 = 5*d. Let y = o + 1. Suppose 9 = -4*a - 7. Sort y, a, 4 in descending order.\nAnswer: 4, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 7*w**2 - w - 2. Let r be v(-7). Suppose 0 = -o - 10*o - 44. Sort 3, r, o in increasing order.\nAnswer: o, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13463 - -13466. Let p = 0.28 - 0.3. Which is the second biggest value? (a) p (b) 7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1334097840?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 636 + -649. Suppose -9*z + n = -7*z - 4, -3*z = 5*n - 19. Which is the nearest to -2\/7? (a) s (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*l - 69456 = 0, 2*f + 4*l - 234 = 46038. List the prime factors of f.\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -3*b**4\/4 + b**2\/2 - 2. What is the units digit of i(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(2\/(-1)) - -26. Suppose -173 = 12*f - 497. What is the highest common divisor of l and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1344*h - 5 + 38*h**4 - 451*h - 1 - 450*h - 440*h to the form x*h**4 + j*h + d*h**3 + m + b*h**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -9. Suppose 0 = x - r*x - 3. What is the least common multiple of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.91 + 0.09. Let x = -0.062 - 2.938. Let t be 3\/((-45)\/(-6) + 0). What is the nearest to x in t, 2, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(36) + -2*sqrt(36)))\/(sqrt(12) + (sqrt(108)\/sqrt(3))\/sqrt(3)) + ((sqrt(147) + -1)*3*-4)**2.\nAnswer: -2014*sqrt(3) + 21312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 5*f**2 - 10*f + 7. What are the prime factors of a(7)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998 a factor of 895249854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -220 - 417. Calculate the greatest common divisor of d and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 20 = -5*t. Let o be (4 + -10)*(1 + t\/(-6)). Factor 2\/11*g**5 - 4\/11*g**3 + 16\/11*g**2 + 4\/11 - 14\/11*g - 4\/11*g**o.\nAnswer: 2*(g - 1)**4*(g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*z + 3, -2*a - 40 = -6*a + 5*z. Let d = a + -8. Sort 2, -1, d in decreasing order.\nAnswer: 2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 5*v**2 + 3*v - 7. Let o be b(-6). Let u(w) = -w**3 - w**3 + 8*w + 0*w**3 + 3*w**3 + o*w**2 + 4. Does 12 divide u(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 327*a*v**3 + 6*a*v + 41*a - 62*v**5 + 7*v - 1 wrt v.\nAnswer: 1962*a*v - 1240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -1759\nAnswer: -11\/1759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -343 + 347. Let s = l + 0. Solve -u + f = -4, 4*f + s = 2*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 137662 = -304920. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 87\/7?\nAnswer: 87\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36545932 to the nearest integer?\nAnswer: 6045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -257*o + 1662. Calculate the least common multiple of 48 and i(6).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, q: 3, p: 6, d: 1}. What is prob of sequence ql?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 36325, -0.2, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3684786 divided by 59?\nAnswer: 62454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 divided by -8?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -5\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 4. Let p be r(-9). Let x(z) = z**2 - 2*z + 1. What is the units digit of x(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59243501101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*c + 12 = c, 2*m - 5*c = 0. Suppose -3*i - 1 - m = 0. Let s(f) = 2*f**2 - 7*f. Let u(x) = -x**2 + 2*x. Give i*s(a) - 7*u(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o + 24 = 44*o. What are the prime factors of 3 + o*39\/(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 38. Suppose -3*o + 2*f - 2 = 2, 5*o - q = -3*f. What is the third derivative of 2*l**2 - 10*l**4 - 4*l**2 - o*l**2 - 3*l**2 wrt l?\nAnswer: -240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*w - 15420 + 39914 + 33106. Is 96 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*x - 986 = 57*x. Suppose 0 + 2 = t. Suppose -t*p + p + 20 = 0. Calculate the remainder when x is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w**(-2\/5)\/w)\/w)*w*w**(-4\/7)\/w*w assuming w is positive.\nAnswer: w**(134\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 12*x**2 + 30*x + 212. What is the lowest common multiple of l(-11) and 809?\nAnswer: 2427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-6)*16\/(-224)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 185*w**4\/4 + w**3\/3 - 19*w**2\/2 + 211. What is the third derivative of z(q) wrt q?\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -370.12 * -99.2.\nAnswer: 36715.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12816 and 7832?\nAnswer: 140976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-80)\/56)\/5)\/(5\/7). Which is the closest to 2\/3? (a) i (b) 1\/4 (c) 1\/70 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6721 = 5*x - 606. Let h = x - -2436. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301959669.\nAnswer: 3, 11, 509, 17977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6*(-153)\/34. Solve -9 - u = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16699 is divided by 8177.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 9:46 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 909*u*w**4 + 14*u*w + 40*u wrt w?\nAnswer: 10908*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 3. Let m(u) = -4 + 10 - 3*u + 2*u. Let r(q) = -11*k(q) - 6*m(q). Let v be r(-7). Calculate the greatest common factor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*p - 378, z - 4*p + 27 + 38 + 24 = -2*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 12*l = 3. Let h be (4\/(-6))\/((-10)\/45). Suppose l*d = -h*n + 261 - 90, 0 = -4*n. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5186, -1\/7, 1\/4, -1 in increasing order.\nAnswer: -1, -1\/7, 0.2, 1\/4, 5186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -1?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 3*c**2 - 2*c**2. Suppose 24*s - 21*s = 15. Let x(t) = s*t - 4*t + 0*t + 3*t. Give x(l(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 103*k - 171771. Is 29 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 15\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -120 + -17000?\nAnswer: -17120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -128, -289, -514, -803, -1156?\nAnswer: -1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -73*r + 76*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p*s*y**2 - p*y**2 - 59*p*y - 2*p - 96938*s*y + 48*y**2 wrt s.\nAnswer: 3*p*y**2 - 96938*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-4)*-8*(-6)\/648?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5 + 2529*g**4 - 1587519*g**3 - 14493249*g**2 = 0. What is g?\nAnswer: -9, 0, 1269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 802 - 14457. Let q be 6\/(-3) + y\/234. Let r = -768\/13 - q. Find the common denominator of -31\/18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqqw. Give prob of sequence ww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3454 + 3450. Let r = -4 - 1. Suppose -y - 13 = 4*v + 3, 0 = -y - 4. Put v, o, r in increasing order.\nAnswer: r, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 0, -5, -6 in ascending order.\nAnswer: -6, -5, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18245 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-3)\/(134 + -2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 2*r - 67 - 1177*r**2 + 216*r**2 + 217 - 77.\nAnswer: -961*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3591 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*h + 5*v - 9, 3*v - 9 = 4*h. Let d be h\/(-1 - (-2 + 2)). List the prime factors of (0 + d)\/(-5) - -37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 4*y**2 - 5*y + 2. Let m be z(-5). Find the first derivative of -3 + 2*s**m - 4*s**2 - 4*s + 4*s wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2*v - 6 = 0, 0 = 4*i - 284*v + 286*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 504208 or 504210?\nAnswer: 504210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 165381000 to the nearest 1000000.\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12455 (base 6) to base 16.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 (base 14) in base 4?\nAnswer: -10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 - 2*n**2 + 515. Let a be r(0). Solve a*l + 100 = 535*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1673662t?\nAnswer: 167366200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*c + 16 = -c, 3*c + 18 = -3*s. Let t be 275\/(-22)*2\/s. Let a = t + 8. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2418 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 15. Let v be -2 + 1*(2 - 4). What are the prime factors of (-5269)\/(-143) + v\/z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/20*-3)\/((-6)\/15). What is the highest common factor of 111 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 0*g = -12*g + 9*g + 36, -q = 2*g + 11 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 103 + 49. Suppose 24 - v = -2*y. Calculate the greatest common divisor of 39 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*d - 133, 97 = 2*f - d - 4*d. What is the highest common factor of 30 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - h)*(1 - 4 + 7)*(0 - 6 + 3)*(1 + 0 + 1)*(3*h + 0*h + h).\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-25))\/(141\/(-4230)). Which is the nearest to d? (a) -4 (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(-1 + 1 - 7*a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b + 5*i + 6, -b + 3*i = -8. What is the common denominator of 65\/(-4) - (5 - 2) and (-715)\/(-90) - b\/6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 12:57 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2. Let r(i) = 987*i - 1201. What is r(s(f))?\nAnswer: -3948*f**2 - 1201","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/5 - 963*g**2\/5.\nAnswer: 3*g**2*(g - 321)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + i + 2 + 6 = 0, -3*i = 3*r - 12. Is r bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25885 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/497 and 43\/231.\nAnswer: 16401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 29\/11775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j = 12. Let d be (j + 2)*(12\/(-3) - -3). Let y be (-9)\/(-2) + 4\/d. Solve -y = -u + 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkkkdkdkkkk. What is prob of sequence kd?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 450439821 divided by -9\nAnswer: -50048869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 - 8*o - 23. Let y(m) = -3*m**2 + 7*m + 18. Let l(w) = 4*d(w) + 6*y(w). Let g(t) = -t**2 + 2*t + 3. Calculate 11*g(k) - 2*l(k).\nAnswer: k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -79, 0.1, 4\/7, -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 a factor of 17549038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/112, 19.7, -5\/4 in descending order.\nAnswer: 19.7, 1\/112, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/9904 and 89\/3714?\nAnswer: 29712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - 3*q**2 + 2*q**2 + (-2*q + 0*q + q)*(0*q + 0*q - 2*q) - 4*q + 4*q**2 - 30 + 3*q + 29.\nAnswer: 5*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1))\/p)**(3\/16)*((p*p**(1\/8)\/p)\/p)\/(p\/(p\/(p**7*p)))*p**(-2\/7)*p*p\/(p*p**(-2\/3))*p*(p**4*p)\/p*p*p*p\/(p**(-3\/8)\/p*p) assuming p is positive.\nAnswer: p**(359\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjxxzyl. What is prob of picking 1 z and 1 j?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 151360145 to the power of 1\/3, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2863*o - 7704 - 32113 = -1319 + 101789 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -683, -698, -739, -800, -875, -958, -1043, -1124?\nAnswer: -1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10959, -45549, -103203, -183915, -287679, -414489, -564339, -737223?\n\"Answer: d**3 - 11538*d**2 + 17*d + 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -3\/4 (c) -452 (d) 0.08 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126159.\nAnswer: 3, 11, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2322210 - -10210?\nAnswer: -2312000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168320.\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**4\/12 - 23*c. Let s(p) = 4*p**2 - 1 + 1. What is w(s(k))?\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-135)\/(-40))\/(-3)*12)\/((-1020)\/(-1360))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225189306?\nAnswer: 2, 3, 12510517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61745*f**4 + 125*f - 211?\nAnswer: 740940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 20*l + 19*l = -253, 122 = 2*t - 4*l. What is the least common multiple of t and 66?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:34 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -16*x + 65. Let g be ((-15)\/(-70))\/((-28)\/x + 4). Let -g*r**2 - 15\/7*r - 12\/7 = 0. Calculate r.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let t(p) = -38*p + 2. Give t(q) - 4*x(q).\nAnswer: -34*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k + 11 = g, 0 = 5*g - k + 21. Let o = 3 + g. Let s(u) = -u**3 + 9*u**2 - u + 5. Let h be s(9). Put 1, h, o in increasing order.\nAnswer: h, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 100 = v. Suppose 4*p = -p + v. What is the third derivative of 0*u**4 - 5*u**p - u**2 + 3*u**2 - 3*u**4 wrt u?\nAnswer: -192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {a: 9, p: 7}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, i: 1, c: 2, q: 1, j: 2, f: 1}. What is prob of picking 1 i and 1 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 11:56 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by -76\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -64. Let l = 0.2887 - 60.6387. Let m = l + y. Round m to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83258.7465 to the nearest 10.\nAnswer: -83260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2. Let p(m) = 183*m**2 - 27. Let v(q) = -14*q**2 + 2. Let o(b) = -2*p(b) - 27*v(b). What is d(o(y))?\nAnswer: 288*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v - 108. Let a be ((-200)\/6)\/((-1)\/3). Let i = a + v. Calculate the greatest common factor of i and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*m + 43 = 0, 0 = u + 2*u + 2*m + 8. Let x = 8015 - 8014. Which is the nearest to u? (a) -3 (b) 2 (c) 0.5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12743364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3, 14, -434, 0 in descending order.\nAnswer: 14, 4, 3, 0, -1, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -369 != -370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -7*s**3\/6 - 3*s**2 + 5*s. Let r(z) = 1 + 0 + z + 0. Calculate -g(f) - 6*r(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 14*y**2 - 5*y - 9*y + 19*y - 2*y + 202 + 2*y**3.\nAnswer: 2*y**3 - 14*y**2 + y + 202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-201)\/402 - (-9)\/2 - ((-66)\/(-10) + -1)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 13*y**3 + 35*y**2 - 58*y + 81. Let n(b) = 7*b**3 + 18*b**2 - 29*b + 41. Let m(x) = 11*n(x) - 6*p(x). List the prime factors of m(-15).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3*j + 28 = -0*v - 30 + 41, 3*v - 2*j = 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -20, -10, 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3605 + -162.9395. What is k rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 437019920 and 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/(-12))\/(-2*15\/108). Suppose 0 = -2*m + 10 + i. Let q(l) = -l**3 + 5*l**2 + 8*l - 5. Calculate the remainder when m is divided by q(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -197*d**2 - 1. Let z(u) = 6*u. Calculate z(l(s)).\nAnswer: -1182*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -520*t**5 + 399*t wrt t.\nAnswer: -10400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203334840\/1800 - (-4)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 5:24 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -11319*j - 12. Let u be k(7). Let s = u - -132769. Let m = -121524 + s. Round m to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2660 + -1 + (-7)\/(-7). Let v(z) = 63*z**2 + 2*z + 1. Calculate the remainder when v(-2) is divided by n\/63 + 1 + 44\/(-36).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 2249194*y + 6747580\/3.\nAnswer: 2*(y + 1)*(y + 3373790)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 6*m**5\/5 - 11*m**3\/3 - 3. Find the third derivative of u(q) wrt q.\nAnswer: 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5))**(-1\/4)\/(f\/f**(-2\/9)*f**0)*((f**2)**(-34))**(-12) assuming f is positive.\nAnswer: f**(73321\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 805500 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w + 6274 + 50*w - 27*w.\nAnswer: 3*w + 6274","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220 + -3210?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t - 16. Let q(o) = o**2 + 4*o - 3. Let m be q(-5). Let w be c(m). Solve -4*i + 4*k + k - 3 = 0, 3*i - w*k - 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 177*n**3 - 4*n**2 + 5. Let d(v) = -8 - v**2 + 88*v**3 - v**2 + 18 - 7. Let u(i) = -5*d(i) + 3*f(i). Find the third derivative of u(y) wrt y.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 6:08 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -956528*b**2*k - 16862*b*k - 17*b wrt b?\nAnswer: -1913056*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1588*b - 3 + 1597*b.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 287*z**3\/6 - 38*z**2 + 10*z + 5616. Let o(a) = 0. What is a?\nAnswer: 10\/41, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5159935 or -5159936?\nAnswer: -5159935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 + 11 = 21*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) 1\/4 (c) -1\/6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107\/40 + -18\/5. What is the common denominator of f and -43\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2593000 to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 943920*i**2 + 55631772672*i - 6465993261056.\nAnswer: 4*(i - 116)*(i + 118048)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29801.\nAnswer: 17, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9\/(a**(-10)\/a*a))**(-2\/35)*(a**(-2\/11)*a**(-3\/10)*a)\/((a\/a**(-1))\/(a**(3\/8)\/a)) assuming a is positive.\nAnswer: a**(-9833\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -27. What is the highest common factor of j and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 7*b**2 - 2*b + 47. Give r(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -1\/9*y**3 - 1\/60*y**5 - y**2 + 0*y + 5\/72*y**4 + 0. Factor p(j).\nAnswer: -(j - 1)*(3*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*a - 46. Suppose -3*q = -4*y + y + 27, -3*y + a = 5*q. Suppose -4*f = -f - y. Solve 2*h - 28 = f*k - 6, -k = 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1186893.\nAnswer: 3, 14653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 5*s + 5. Let f(j) = -497*j**2 - 30*j + 2245. Let a(i) = -f(i) - 6*l(i). What is the first derivative of a(t) wrt t?\nAnswer: 1006*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 7*h + 2325 = 0. List the prime factors of h.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b9476 (base 15) in base 11?\nAnswer: 371a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 122 = a - 5*t, -268 = -2*a - 4*t. What is the smallest common multiple of 56 and a?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 11*x**2 + 12*x + 23. Suppose 0 = -4*k + g - 4 + 76, 5*k - 4*g = 101. Is y(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.1, -0.01, 1, 9\/440, -5, 0?\nAnswer: 9\/440","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000335 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 180*t - 288294. What is j(455)?\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10464.2 - 0.042\nAnswer: -10464.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 5. Let x = l + 6. Suppose -3*s + 12 = x*g, 0*s + 2*g = -s + 8. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17 - 2\/(-4)*6. Suppose -o = -3*b + 15, -5*b + a = -3*o - 29. Let r = o + 12. Round r to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 36, -46, -262, -672, -1336, -2314, -3666?\nAnswer: -5452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.7 - -34. Sort l, 4, 1\/4 in decreasing order.\nAnswer: 4, l, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 31 + 5650 = 0. What are the prime factors of x?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1548\/17 (b) -15 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8051486 = -7*c + 53480474. Suppose -b - 3250282 = -5*u - c, 0 = -2*u + b - 2215998. Round u to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143696969?\nAnswer: 13, 11053613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6) - -1)\/((-340140)\/(-5760) - 59)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 654 and 50586.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 17*o - 62. Let h be q(10). Solve n + h = 3*i, 0*n + 5*n - 28 = -2*i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152 by -38.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:58 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203 - -2231203?\nAnswer: 2231000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q**2 - 20*q - 33. Give s(-4).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33349409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 3861.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y - 12 + 7 + 3 + (-18 + 5*y + 5*y - 8*y)*(-8 + 35 + 13).\nAnswer: 84*y - 722","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 3035019.1768 and -74.3.\nAnswer: 3034944.8768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 344898794.\nAnswer: -5\/344898794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/16 and 5\/10 + (-107)\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m = -4*b - 2, m = -3*b + 1. Calculate the least common multiple of b and 12 - (-1 + (-2)\/(-1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = -2*o. Let c be (6 - o) + 1*-2. Suppose -7*q = -3*q + 2*g - 26, -4*q + c*g + 61 = 0. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389357663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/81 + (-76)\/(-18). Suppose -b*z = -5*g - 375, -z - g + 205 = z. Suppose -3*j - 2*j = -z. Calculate the remainder when j is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**2\/2 + 5*o - 2. Let v be l(0). Suppose 2 - 67 = -v*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77361.9958 + -77340. Let s = z - 22. What is s rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 6, 0, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115315718 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009883443 rounded to 6 dps?\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*r - 34*r = -10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1245474278.\nAnswer: 2, 1409, 441971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Suppose 8*i = 6*i - 20. Let u = 22 + i. Let k be (u\/36)\/((-1)\/(-15)). What is f(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-111)\/(1*3\/(-1)). Let k be t + -3 + -3 + 3. Sort k, 5, -1.\nAnswer: -1, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -63 (b) -4 (c) -2\/7 (d) 2 (e) -1.4 (f) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 + 0.34. Let o = 0.05 - i. Put -0.2, o, 1 in decreasing order.\nAnswer: 1, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 13 + 63 = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 - 2*s**2 + 5*s**2 - 4*s**2 + 3*s**4 - 2*s**2 + s as j*s + r + k*s**2 + l*s**4 + i*s**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18464428, -18464423, -18464418, -18464413, -18464408?\nAnswer: -18464403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a - 290 = 0. Let v = a + -23. Calculate the remainder when v is divided by 2\/3*9*3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6*y - 2*f + 10 = 0, y + 3*f + 13 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v**2 + 27*v - 3. Let j be s(-5). Solve -j = 18*b - 21*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114033\/19 + 6004. What is the common denominator of o and -47\/3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152597882.\nAnswer: 2, 17, 151, 29723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23.8 and 33.\nAnswer: -785.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 0*b - 3 + 3*b + 0*b + b. Let k be w(2). Let o(q) = -q**2 + 6*q - 2. What is the least common multiple of 2 and o(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(14)\/(5*(-2*sqrt(7) - sqrt(7))) + -1)**2.\nAnswer: 2*sqrt(2)\/15 + 452\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - ((-52 - -20) + 32).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119 and 210?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6172 - 6171.6. What is the smallest value in -1\/3, c, -1, -209?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071\/(-2142)*7*-14?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37288 and 46136?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 2. Let y = 3 + g. Factor 2\/3*f**4 + 0 + 2\/3*f**5 - 2\/3*f**3 - 2\/3*f**2 + y*f.\nAnswer: 2*f**2*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8\/p)\/(p*p**(-1\/2)) assuming p is positive.\nAnswer: p**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25966773 divided by -8655591\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 591872675491\/28118581 + 15980\/248837. Let v = -21049 + t. Let l = -17531\/2034 + v. What is the common denominator of l and -79\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28610000 to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 292?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 + -5. Let a = 3717 + -3689. Calculate the remainder when x is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882)*2*5)\/(sqrt(99)\/(sqrt(99) - (-1*sqrt(99) + sqrt(99))))*4.\nAnswer: 840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 524 and 9694?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.6806 and 11.993715362.\nAnswer: 8.313115362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -207, -215, -299, -501, -863?\nAnswer: -1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o + 16. What is the first derivative of 4 + o*b**4 - 2 + 4*b**4 - 5 wrt b?\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87668 is divided by 180.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 3*l**2 + 10)*(3 - 3 - 2*l**2) + 2*l**4 - 20*l**2 + 22*l + 20*l**2.\nAnswer: -4*l**4 + 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27168181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37252.5 and -40.40184?\nAnswer: 37292.90184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 2*a + 6. Let q be p(10). What is the smallest common multiple of ((-54)\/(-10))\/(q\/420) and 75?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -1\/6*q**3 - 17\/20*q**5 + 0 + 0*q**4 + 43*q + 0*q**2. Determine k(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-14)*(-9)\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11))**29*j**(-4\/7)\/j**18 assuming j is positive.\nAnswer: j**(-2363\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1051 greater than or equal to -30515\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 58296*x**4 + 106*x**2 + 176*x**2 - 58297*x**4 - x - x**3 as k*x + s*x**3 + o*x**2 + j*x**4 + m and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4373\/2181 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = -3*k + 2*k, -3*h = -k - 13. Solve 0 = h*n + 2 + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1) + 42 + -48 + -5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/3 - 44*o**3\/3 + 234*o**2 + 19*o + 191. Let w(a) = 0. Calculate a.\nAnswer: 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 2. Let r = p + 12. Let m = 325 - 323. Solve -2*c + 12 = -m*g, -r*c + 0 + 2 = 5*g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 smaller than 182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**7*(h*h**(3\/2))\/h)\/(h\/h**2)**(-12\/7))**(-1\/26))**(-1\/7) assuming h is positive.\nAnswer: h**(-87\/2548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011994 to five decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1721*z**2 - 2292*z + 12. Let m(x) = -1723*x**2 - 2293*x + 18. Let u(j) = 3*f(j) - 2*m(j). What is the second derivative of u(d) wrt d?\nAnswer: -3434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.27157899 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 72 = -4*u, -u = 2*u - 3. Let i(j) = j - 10 + 31 - 67*j**2 + w*j**2 - 12*j. Let c be i(9). Solve c*v - 5*v = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m - 5. Let q(x) = 2*x**2 - x - 8. Calculate the remainder when q(-5) is divided by c(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3207 + 1451 + 1602)*(-1 + 2*q + 1) + (26 - 8 - 16 + 14*q)*(4 + 2 - 4).\nAnswer: -280*q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {e: 1, w: 3, r: 4, k: 4, s: 1, l: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 6*g**2 - 3*g - 10. Let n(v) = 2*v**2 + 4*v + 5. Let f(m) = -m**3 - 4*m**2 + 19*m - 16. Let a be f(-7). Let t be n(a). Give u(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 77188142*t**2. Let l(h) = -2*h**2. What is l(a(o))?\nAnswer: -11916018530824328*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w + 4. Calculate m(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.1557829 days?\nAnswer: 13459.64256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1102973166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1090337.598ms?\nAnswer: 0.001802806875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 - i**3 + i**3)*(-6 + 4 + 3).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.012 (b) 2\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 + 0*u**2 - 4*u**2)*(2 + 2 - 2) to the form l*u + t*u**2 + p and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**4 - 135974094*j**2 + 282071062*j wrt j.\nAnswer: -24*j**2 - 271948188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -10 + 32 + (-19 - 1) + 6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*(4216\/2924)\/(-62).\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45\/7 in -2, -30, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 164\/(-8)*8\/30 and 37\/(-185) + 1\/(60\/1022).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -p - 104. Let j = p - 129. Suppose 0 = -3*s + j - 19. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -17*b**2. Suppose 4*w = a + 9, -3*a + 5*w - 15 = -2. What is j(a)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*((-3300)\/40)\/(-55).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*2*sqrt(85)*-6)\/((sqrt(5) - sqrt(800)\/sqrt(10)) + sqrt(5)*-2*-3).\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -95*w**2 + 475*w - 600. Let f(s) = 7*s**2 - 34*s + 43. Let r(x) = -55*f(x) - 4*t(x). Suppose r(p) = 0. What is p?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2. Let b(j) = -2*j - 23. Let i be b(-10). Let h be (0 - i) + (2 - (-5 - -6)). What is the closest to -1 in h, w, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + -1 - ((-13 - (-61 - (0 - 25))) + -14).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -8*p + 39, v + 12 - 18 = -p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.978951806 + -1.201.\nAnswer: -0.222048194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.323855ms to hours.\nAnswer: 0.0000128677375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t + 19. Let a be (-92)\/(-12) - (-1)\/3. Let v be b(a). What is the second smallest value in -1\/10, 2, v?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 82.34707 micrograms?\nAnswer: 0.00008234707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -17, -1 in descending order.\nAnswer: -1, -17, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, k: 1, c: 1, u: 1, r: 1}. Give prob of sequence uky.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-3 - -7) + -12 - 4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/13)*t**(-4\/5))\/(t*t**(-3\/5))**(-8) assuming t is positive.\nAnswer: t**(166\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94274805 and 17685?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2073?\nAnswer: 1\/2073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - h - 1. Let m(v) = -8*v**3 - 3*v - 2. Let u = -17 + 13. Let s(f) = u*p(f) + m(f). Calculate the remainder when 16 is divided by s(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19250912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 286210 and 150?\nAnswer: 4293150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/43909 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*p = 309*p - 21024507. List the prime factors of p.\nAnswer: 3, 7, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -42. Let f = -128\/589 + 10\/31. Which is the third smallest value? (a) -3 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-4*13\/520.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h**2 - 44*h + 636. Is 11 a factor of q(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36853, -41066, -48087, -57916, -70553, -85998?\n\"Answer: -1404*f**2 - f - 35448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10)**(1\/10) assuming a is positive.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 - 245 = 19*d. Let x(r) = 8*r**2 - r + 4. Let h(q) = q**2 + 1. Calculate d*h(l) - x(l).\nAnswer: -3*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g + 10192 = 1502. List the prime factors of g.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67829272 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 31 = 4*w + 5*j, 0 = 5*w + 4*j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 501*o**2. Let p(r) = -141*r. Give t(p(a)).\nAnswer: 9960381*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -88, -91, -94, -97, -100?\n\"Answer: -3*q - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - ((-1 - -5) + -2)) + (77 - 80)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4516597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 = 0, -2*b - 40 = 3*b + 5*g. Suppose -20 = -2*z - 3*z. What is the common denominator of (-194)\/z*b\/(-15) and -19\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, j: 7}. What is prob of sequence hjh?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b + 15. Suppose -123 = -5*u - 56*v + 59*v, 162 = 6*u - 2*v. Solve 5*n + u = 5*h, -4*n - 24 = -b*h - 5*n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let n = 54\/245 + -23159\/3920. What is the common denominator of (-138)\/8 + (1 - q) and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49\/4 + -12. Suppose 0*y - h = 4*y - 2, -2*h - 9 = -5*y. Which is the nearest to -0.1? (a) r (b) y (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4903 + 19615\/4. Which is bigger: -12\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*l + 7. Suppose 90 = l*r + 2*r. What is the common denominator of 29*(-2 - r\/(-8)) and -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 3. Let x(a) = 2*a + 6. Let t = -1 - -3. Suppose 3*z = t*z - 11. Let f(h) = z*y(h) - 6*x(h). Determine f(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*n - 3 + 16*n + 4)*(1730 + 547 - 647) + (3 - 3 - 1)*(-n + n - n) as s*n + p and give s.\nAnswer: 3261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Suppose w*k - 149 = -53. Let t be (-28)\/((-4)\/k*2). Calculate the greatest common divisor of t and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*g + 26. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 30. Let p = y + -29. Let s = p + 28. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 190766063.85063 - 190767765. Let q = 1808.1489 + z. Let i = -107 + q. What is i rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -20*h**2 - 277*h - 1410. Determine g(-5).\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -67, -2, -9376 in increasing order.\nAnswer: -9376, -67, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 132056 - 2?\nAnswer: 132054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 269655 * 0.5.\nAnswer: 134827.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3218766, -6437536, -9656306, -12875076?\nAnswer: -16093846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24548263 divided by -6?\nAnswer: -24548263\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -927007578304*o + 927007578304*o + 31*o**3.\nAnswer: 31*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 11*o - 16)*(-4*o**2 + 8*o**4 + 4*o**2) + o**5 - 2*o**3 + 2*o**3 + (4*o**2 - 6*o**2 - 6*o**2)*(0*o**3 + o**3 - 3*o**3).\nAnswer: -71*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*p = -30*p - 2574 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -1 in decreasing order.\nAnswer: 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**5 - 18*r**4 + 39*r**3 - 36*r**2 + 12*r = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332013102 + -1?\nAnswer: 332013101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**4\/12 + y**3\/3 + 3*y**2 + 3*y. Let f be g(-5). Suppose f = a - 4*d - 0, 3*a - 3*d = 45. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 2:59 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3699 - -3670) + 1 + 43 + (10 - 0)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/6 (b) 0.94 (c) 0 (d) 0.2924\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177788 and 845?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 31*u**2 + 61*u + 721. Let p be v(-12). Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.7, 61, 15, -0.07, -1 in increasing order.\nAnswer: -9.7, -1, -0.07, 15, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -219.2 - 0?\nAnswer: -219.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 354912610\/743721 - 15748\/33. Are 0 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 640 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = -o. Suppose 0*p = 4*p - o. What is the first derivative of 3*x - 1 + p - x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4305, 4424, 4635, 4950, 5381?\n\"Answer: 2*w**3 + 34*w**2 + 3*w + 4266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -976*13\/(-208) + -67\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 173, 291, 433, 605, 813, 1063?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**3 + 10811013*c**2 + 21622017*c + 10811007 = 0.\nAnswer: -3603669, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4085 - -12780?\nAnswer: 16875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110133 - -201323330?\nAnswer: 201213131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 2, c: 6, g: 1, y: 5}. What is prob of sequence cdy?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74904.9g to nanograms.\nAnswer: 74904900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - x**2 - x**2)*(3 - 7 - 4)*(-3*x + 2 - x + 6*x).\nAnswer: 48*x**3 + 48*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*c = 8, -2*c + 5 = 1. Suppose 0*s - 2*s + 4 = i. Suppose 0 = 4*k - o - 321, s*o = -0*k + 4*k - 326. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**4\/3 - 108*h**3 - 326*h**2 + 197444*h\/3 + 66033 = 0.\nAnswer: -319, -27, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1400 divide 313913600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260852 divided by -512.\nAnswer: 65213\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 17*k - 2*m + 11 = 0, 4*k - 3*m - 26 = 0. Solve -5*t - h = -1, -3*h - 7 = k*t - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24512790697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/9)\/(6\/9). Let u = 2 - k. Which is smaller: 5\/7 or u?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5205163 (base 7) in base 8?\nAnswer: 2302064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 106*b**2 + 3984 + 995 + 3884 - 6*b**2 - 1333 wrt b?\nAnswer: 200*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minus 26569035?\nAnswer: -26568358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05367 and 16.\nAnswer: 0.85872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*a - a. Suppose j = a*p - 19, -j - 18 = j - 3*p. Let x be 0\/((-1)\/(-3)*j). Let d(h) = -h**3 + h**2 - h + 10. Give d(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -15. Suppose 12555 = -31*s + 12555. What is the smallest value in w, 1, -12, s?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3322 by -22.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 12. Let q(v) = 5*v - 1557. Let c(j) = 130. Let k(m) = 12*c(m) + q(m). Determine k(i).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 - 327356*a**3 + 13401134954*a**2 - 482122714968*a + 4338150074568.\nAnswer: 2*(a - 81821)**2*(a - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 144 = -148, -2*t - 2*j - 6 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.8 - 14.998. Let l = -0.802 + v. Which is smaller: 2\/203 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 431 + 441 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.351234 hours to minutes.\nAnswer: 321.07404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -67, -8, 2, 4.\nAnswer: -67, -8, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*o - 6*o + 210. Let q be (-2)\/(-9) - o\/(-135). Solve -2*d = -q - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4106, -4117, -4138, -4175, -4234, -4321, -4442, -4603?\nAnswer: -4810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 203, 467, 837, 1313?\nAnswer: 1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/z)**(-1\/25)*z**(5\/4)\/(z**(-2\/3)\/z) assuming z is positive.\nAnswer: z**(887\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 92 = -b - 82, -3*b + 19 = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40699960*g - 34915440 with respect to g.\nAnswer: 40699960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + u - 2*u = -4, -4*t - 4 = -u. Suppose -4*p + b = -16, -7 = 3*p + 4*b - t*b. Determine w so that -2*w**2 - 1\/4*w**4 + 0 + w + 5\/4*w**p = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-64))\/((-1)\/4)*5\/30?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (38\/133)\/((-1)\/7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.09, 369, -0.2, -1\/11, -1, 2\/285?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76064 + 40542095\/533. Find the common denominator of g and 21\/410.\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21944 + 3?\nAnswer: 21947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/10 + (-8)\/5. Suppose -p + 2 = -1. Let x(v) = -v**2 - v - 1 + 5*v**p + v**2. Calculate x(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 67898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 8:14 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/14 - (-36)\/7. Solve 0 = -6*m + m + c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 32*b - 273. Let u be j(7). Solve 5*t + 2*t - 7 = u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 5*f - 8015 = 0, 0 = 5*h + 5*f - 13385. What are the prime factors of h?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(98)\/sqrt(7))\/(-4*(sqrt(7) - (sqrt(28) + sqrt(7)))).\nAnswer: -3 - sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*c - 13752 = -459*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 12142.1 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674 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: Calculate prob of sequence bx when two letters picked without replacement from {c: 1, b: 1, x: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 83552.\nAnswer: 751968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50778 and 34398?\nAnswer: 1066338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2087099858.\nAnswer: 2, 43, 24268603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*o + 19. Let r = -10 - o. Suppose -2*z + j + r + 7 = 0, 0 = -2*z - 3*j + 16. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752)*-2 - 2*sqrt(66)\/sqrt(2))\/(sqrt(27)\/(-1*sqrt(729))).\nAnswer: 234*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3450*o - 335*o + 3725*o**3 - o**2 + 0*o**2 - 3727*o**3 as c*o**2 + m*o + i*o**3 + n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -2364902.\nAnswer: 11824510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-3)*1)\/((-20)\/(-2090)*-11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(-3))\/(-4)*17\/((-1360)\/(-480)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**2 - 217128320*d + 2357235367301120 = 0 for d.\nAnswer: 21712832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 971*h - 14 wrt h.\nAnswer: 971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21435 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27473 - 27469. Calculate the smallest common multiple of y and 102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89004 divided by 3\nAnswer: 29668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24043*d**2*p - 70*d*p - 11*p wrt d?\nAnswer: 48086*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 4*q**2 + 5. Let l be f(-4). Let s = l + 6. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 19*q**2 + 2*q - 17*q**2 + 3*q - 3*q.\nAnswer: 2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 8\/10)\/1. Let w(u) = -2*u - 4. Suppose -3 + 17 = -7*f. Let v be w(f). Which is the nearest to 0.01? (a) z (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14833 + 21422. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -2. Suppose -f*v = 4 - 28. Solve -v = -2*j - 4*h, j = -4*h - h + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1311, -2655, -4073, -5601, -7275, -9131, -11205, -13533?\n\"Answer: -6*k**3 - k**2 - 1299*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(5)*2 - sqrt(288)\/sqrt(8)*-4)\/(4*(sqrt(1452) + (4*(sqrt(1452) - -2*sqrt(1452) - sqrt(1452)) - sqrt(1452)) - sqrt(1452))).\nAnswer: 3*sqrt(3)\/154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2257 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 53*t - 55*t - 15, 3 = w - 2*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaaaaaaa. What is prob of picking 1 v and 2 a?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*d - 166*d + 55 = 0. Let j(m) = m**3 - 8*m**2 + 7*m. Give j(d).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -106*l**2 + 2*l - 4. Let q(k) = -25228*k**2 + 477*k - 954. Give 4*q(p) - 954*y(p).\nAnswer: 212*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5852 by 76.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*m + 4. Suppose -f - 100 = -m*f. Suppose -v + f = -6*v. What is the common denominator of 14\/11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 12*c**2 - 1. Let b be (3 - 2)\/(2\/4). Suppose 0 = 4*o - 3*a - 16, -o - 3 = b*a - a. Let h be n(o). Solve -2*v + h = -v - 2*x, 3*x = v - 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j. Let o(r) = 4*r**2 + 5*r. Let q(w) = 5*m(w) - o(w). Let c(y) = 4*y - 5. Let a(g) = 2*g - 2. Let i(z) = 5*a(z) - 2*c(z). Give q(i(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 62 = -7*b, 17*b - 22*b - 25*b + 70 = l - 21*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 17 + 7. Suppose n + 5*t = j, -3*n = n - 3*t - 9. Suppose -5 = -s - n. Solve w - 5*v = -12, 2*w - v - s*v + 10 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.52 * -5\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2. Let u(i) = -11*i - 11*i + 18*i. Give u(m(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28 to two dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1572620 and -69\/786310.\nAnswer: 1572620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 17*r**2 + 44*r - 232. Determine n(15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 13\/3, 1, -3.967?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -13505?\nAnswer: 13504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7\/3)*p\/p**25)\/(((p**(-18)\/p)\/p*p*p*p*p*p*p)\/(p**(-14\/11)*p*p*p)) assuming p is positive.\nAnswer: p**(-350\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**6\/360 - j**5\/20 - j**4\/8 - 8*j**3\/3 + 4*j. Let d(k) be the second derivative of u(k). Give d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 1799734*i + 20 = -1799732*i, 0 = -4*g + 5*i - 50 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523920474.\nAnswer: 2, 3, 7, 11, 97, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + 0*h**2 - 4*h**2 - 12*h**2.\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12002102000 (base 3) to base 2\nAnswer: 11000011101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397, 784, 1157, 1510, 1837, 2132?\nAnswer: 2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.94 - -0.06. Let f = n - 11. Let j = f + 11. Which is the third biggest value? (a) j (b) 2\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 9 = 0, 3*n - 2579 + 2264 = s. Suppose 37 = l - 3*r, 5*l = -3*r - 53 + 220. What is the greatest common divisor of n and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j - j + 4*j + 2*j + 3*j - 6*j + (-1 + 2 + 1)*(5*j - 3*j - 3*j) + 3 - 3 - j - 3*j + j + 0*j - 12*j - 18*j + 11*j.\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -5. Suppose -12 = y*u - u, 0 = 4*r + u - 97. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 57\/120209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 16, 123, -1.\nAnswer: -1, 16, 106, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/117, 1.3, -5 in decreasing order.\nAnswer: 1.3, 4\/117, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51145 and 530.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022222 (base 5) in base 2?\nAnswer: -1011110100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -2734?\nAnswer: 2742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) -1\/7 (b) -4 (c) -5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*n - 5, -10*p = -11*p + 4*n - 16. Solve 18 = y + 2*y - 4*x, 12 = -p*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*(-4)\/36*-3. Let b(n) = -21 + h*n + 21. Let l(c) = 3*c. Calculate b(l(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -179*u + 1443. Give r(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48486?\nAnswer: 2, 3, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-86)\/(-17) - (-10 - -15))*2\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.292433 minus -468.41?\nAnswer: 474.702433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/300 + i**4\/40 - 2*i**3\/15 + 350*i**2. Factor h(l).\nAnswer: (l - 1)*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.72771 millimeters in kilometers?\nAnswer: 0.00005072771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 759152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363.7699 weeks to minutes.\nAnswer: 3666800.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/5*6\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 31*z**2 + 6*z + 49.\nAnswer: -31*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4316473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-10) - 4\/10. Let f be -1 - (-2 + c) - -1. Suppose -3*a + f = -2*a. What is the highest common factor of a and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1879, -3788, -5779, -7894, -10175?\nAnswer: -12664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2. Let t(x) be the first derivative of 7*x**6\/120 + x**5\/60 + 25*x**3\/3 + 30. Let b(i) be the third derivative of t(i). Calculate b(m(a)).\nAnswer: 84*a**4 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 631 + 3?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from ieokm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 51*s - 226. Let w be i(-46). Find the second derivative of 24*d**2 + 3 + 3*d**4 - 24*d**2 + 8*d**3 - w*d**3 - d - 6*d wrt d.\nAnswer: 36*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5 + 19*h**4 + 75*h**3 - 55*h**2 - 196*h + 156 = 0.\nAnswer: -13, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 205125125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2529 - 7*a**3 + 4*a**3 - 22*a + a**3 - 181*a.\nAnswer: -2*a**3 - 203*a + 2529","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -44\/3 - 2\/3*r**3 - 40\/3*r**2 + 86\/3*r = 0.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17473, -32758, -48043, -63328, -78613, -93898?\nAnswer: -109183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 2209466.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -709 + 709 - 192*j - 2 + j + 2 + (-5*j + j + 3*j)*(-1 - 1 + 0) + j + 0*j + 0*j to the form t + n*j and give n.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + -2*sqrt(2736) + sqrt(2736) + sqrt(2736)*1*-5 + (2*sqrt(2736) + -3)*-1 + 3)**2.\nAnswer: -1536*sqrt(19) + 175168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 12*o**3 - 21*o**2 + 13*o + 11. Let n(u) = 4*u**3 - 10*u**2 + 6*u + 5. Calculate 4*d(x) - 9*n(x).\nAnswer: 12*x**3 + 6*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 9*d**2 + d + 6. Let k = -7 - -16. Calculate the remainder when 42 is divided by y(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -530459692465 from 0.5.\nAnswer: 530459692465.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = r + 4*h + 14, -3*r = -3*h - 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1600 times 233?\nAnswer: -372800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 + w**3 + 79*w**2 + 8*w**2.\nAnswer: -4*w**3 + 87*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 772 and 459726.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgvg when four letters picked without replacement from voogga.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10217177 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13766 - 13736. Suppose 0*t + 240 = t. What is the greatest common divisor of t and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817522919.\nAnswer: 149, 5486731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56374595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 176*n**3 - 3*n**2 - n + 350*n**3 + 1 - 171*n**3 to q + t*n + d*n**3 + u*n**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 25, -1\/3, 2, 2\/9, -8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -256 + 2302\/9. Let v = -3.08 + 2.08. Which is smaller: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1. Let u(g) = 6*g - 6. Let n(w) = 5*k(w) + u(w). Suppose 3*c + 8 = -4*p - c, 5*c + 10 = 4*p. Suppose p = -3*j + 2*j - 1. What is n(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 33*l**2. Let b(s) = 36*s. Give b(m(g)).\nAnswer: 1188*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.98535 - 0.95. What is u rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6 + (-109)\/(-2). Suppose -14 = -4*b + 3*b - 2*y, 5*y - d = -5*b. Let s(p) = -p**3 + 8*p**2 + p - 3. Is s(b) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/840072 and -47\/4686.\nAnswer: 9240792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/8 of a milligram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/17 (b) 96.9 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1562*c - 841*c + 77104 = 1353*c for c.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 258 + -251. Let g(v) be the second derivative of 0 + 0*v**2 - c*v + 1\/3*v**3. Let k(m) = 6*m. What is g(k(f))?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 790691520 to the nearest integer?\nAnswer: 28119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2915 and 82680.\nAnswer: 909480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -47?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402225?\nAnswer: 3, 5, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36752 + 36758. Let g(q) = -2*q**2 + 3*q + 21. Give g(o).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**6\/24 + 5*j**5\/2 + 125*j**4\/2 + 2500*j**3\/3 + 22*j**2 + 2. Factor s(m).\nAnswer: 5*(m + 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, 1, -1 in decreasing order.\nAnswer: 14, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 40, -1, 1, -23.\nAnswer: -23, -1, 1, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39283112 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 126*-10*((-16)\/(-5) - 4) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u + 107 = -b, -4*u - 5*b + 103 = 0. What is the greatest common factor of 55 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5274 and -0.30333.\nAnswer: -1599.76242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 12113?\nAnswer: 12112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0\/w**14)\/(w**(2\/49)*(w**(-1\/3)*w)\/w*w))**(-5\/6) assuming w is positive.\nAnswer: w**(5405\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.349271 and 4.\nAnswer: 3.650729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 56 + 25 + 121 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 14\/3)*(-3 - 0). Calculate the greatest common factor of 160 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:49 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by 1.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 9400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d + 9. What is x(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 1368560108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-14) - -1)*-2. Let p(q) = 2*q - 1. Let y be p(-2). Let x = 2\/9 - -5\/18. What is the closest to x in -2\/9, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2788 and 2777545.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12343*o**2*s - 4*o*s - 3*s - 9 wrt o?\nAnswer: -24686*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**3 - 91*m**2 + 402*m + 4. Let k be x(6). Let h = 10.8 - 10. What is the smallest value in k, h, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(3872).\nAnswer: -88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:33 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, o: 4, b: 2}. Give prob of picking 1 m and 1 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t**3*w - 3073395*t**3 - 4*t**2*w - t*w - 303199*w + 4 wrt w.\nAnswer: 3*t**3 - 4*t**2 - t - 303199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -270 - -472. What is the remainder when n is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (11 + -41 + 23)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(432)*3*-2)**2 + 1.\nAnswer: 15553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + a - 2. Let k(x) = 2*x**2 + 5*x + 506. Let t(g) = k(g) + 3*m(g). What is the tens digit of t(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1535, -3069, -4603?\nAnswer: -6137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173371205 is divided by 240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(14\/(-7) + 9\/6). Suppose 1 = -4*y + 4*f - 7, 0 = y - 5*f - 2. Put y, a, -2 in increasing order.\nAnswer: a, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-33))\/(6\/3)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 69*f**3 - 459*f**2 - 1113*f - 588.\nAnswer: 3*(f - 7)*(f + 1)**2*(f + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9044341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10804987.\nAnswer: 1109, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 17774*o - 17776.\nAnswer: 2*(o - 1)*(o + 8888)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 35 = -21*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1707391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39889\/99720 - 1\/99720. Factor -16\/5 - 12\/5*d**2 + 6*d - i*d**3.\nAnswer: -2*(d - 1)**2*(d + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271615511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 118 - 292 = 0. Let k = -76 - v. Solve -k*t = -t - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136965343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -283, -268, -249, -232, -223, -228?\n\"Answer: -w**3 + 8*w**2 - 2*w - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2574\/462 - 4\/7. Suppose -5*n + 416 = w, 8*n = w + u*n - 424. What are the prime factors of w?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 3*m + 35 = 0, 6*m - 130 = -406*d + 404*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 1. Let t(d) = 4*d**2 - 2*d - 3. Let m be (-3)\/(-9) - -3*16\/(-36). Determine m*t(n) - 5*r(n).\nAnswer: n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 26. Let d be q(0). Let s = 31 + d. Let w = s - -21. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/17))**(1\/36) assuming i is positive.\nAnswer: i**(1\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.005 smaller than 2\/8277633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/10*-5*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 41*y**2 - y + 1. Let q be r(1). Let a = q + -34. What is the remainder when 13 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2153 - 1e9?\nAnswer: 1f6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*f - 75*f + 3*b - 14, -9 = 5*f - b. Which is greater: -4\/183 or f?\nAnswer: -4\/183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 80*w**2 + 35*w**2 - 34*w**2.\nAnswer: -79*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/4 + 5*q**3\/4 - 21*q**2\/4 + 23*q\/4 - 2 = 0. What is q?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198974557.\nAnswer: 198974557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 4*b**2 + 4*b + 4. Let d be y(-3). Suppose -4*h + d = -27. What is the first derivative of 2*j - 2*j + h*j**2 - 1 - 4*j**2 wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-11)\/5)\/(6\/20). Let b be (-4540)\/((-5)\/1 + m). Suppose n + 3*f - 8*f - b = 0, 2*n + 5*f - 9065 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409657515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 9) to base 16.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.79 to 0 dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/7, 0, -0.26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.0452?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1461 is divided by 157?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 586 and 654?\nAnswer: 191622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/2, 0, 7\/137?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(180) + 1 + sqrt(180) + sqrt(180) + sqrt(180).\nAnswer: 3 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**5\/(o**(2\/13)\/o)*o**(2\/9)*o**(-2\/7) assuming o is positive.\nAnswer: o**(4736\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -504 - -349. Let z = i + 154. What is the nearest to -2 in z, 0.3, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 8. Let u be w(-3). Let l be (-9)\/9 + 2 + u. Suppose 5*t - l*t - 9 = -5*d, t - 6 = -3*d. Solve 4*y - 13 = -r, 4*r - d*y + 4 = -5*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/828 and 55\/18.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**5 - 413*m**4 + 823*m**3 - 411*m**2 = 0.\nAnswer: 0, 1, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 55*v + v - 52*v + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2786381 to the power of 1\/2, to the nearest integer?\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1160768840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6)*(0 - 0). Calculate the remainder when 89 is divided by (-15 + -8)*(-2 - m).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 4:01 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -33862?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -7*p**5\/25 + p**4\/10 + 35. Determine i, given that t(i) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*l + 1 - 40*l + 23*l + 1 + 7*l**2 to the form n*l + p*l**2 + x and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15424)\/5824 - (-36)\/14)\/(2\/3).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 897172 by 211.\nAnswer: 4252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aet when three letters picked without replacement from teetetotffat.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -176751288 divided by 2\nAnswer: -88375644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 - 278 = 52*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. List the prime factors of 28*(z\/4 + 0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24886 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/53)*y*y**(3\/5) assuming y is positive.\nAnswer: y**(414\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4618143 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - 1100110011?\nAnswer: -1101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k**2 + 15*k + 15. Let g(m) = -m - 1. Calculate -45*g(h) - 3*q(h).\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14\/3*m**3 + 96*m + 128\/3 - 4*m**4 + 184\/3*m**2 - 2\/3*m**5 = 0. What is m?\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.993 take away -3?\nAnswer: -65.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/(30\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 2*f + 21. Let g = -21 - -29. Let b = -8 + g. Let y be m(b). What is the highest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 4*f**2 - 6*f - 3. Let u be q(-5). Let 21\/5*v**u + 12\/5*v**3 + 0 - 6\/5*v = 0. Calculate v.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q + 81. Give c(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6070, -12103, -18148, -24211, -30298, -36415, -42568, -48763?\n\"Answer: -r**3 - 6026*r - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z**2 - 61*z - 54 = 0. Calculate z.\nAnswer: -54\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 3, 5 in increasing order.\nAnswer: -4, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 183*v**2 - 3*v + 6. What are the prime factors of d(2)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c - 2*c + 0*c + (3 - 4 + 2)*(-2*c + 0*c + c) - 26*c + 14*c - 16*c - 49*c.\nAnswer: -75*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -29*s**3 - 3*s**2 + 7*s - 3. What is x(1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -44, -79?\n\"Answer: -35*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/(-2800) - 134\/280\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3104743 and -32921.21.\nAnswer: -3137664.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, y: 2, t: 2}. Give prob of sequence ytit.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*s - 2)*(-482 + 438*s + 482)*(2*s + 0*s + 2*s) to r*s**2 + m*s**3 + q + a*s and give m.\nAnswer: -3504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (-5715455)\/(-990) - (-4)\/(-18). Let x = m + 5780. Find the common denominator of x and 57\/(-6)*2\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2255144?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1\/36, -29.2, 0, 2\/5, 1.3 in increasing order.\nAnswer: -29.2, -1\/5, 0, 1\/36, 2\/5, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1115 + 6?\nAnswer: -110d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 2*v**4 - 2*v**3 - 2*v**3. Let c = -5 + 8. Let t(b) = 6*b**4 - 8*b**3 + 1. Let z(s) = c*t(s) - 8*y(s). What is the derivative of z(p) wrt p?\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 0.5, 4, -35, 2\/7 in descending order.\nAnswer: 58, 4, 0.5, 2\/7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1517080 to the nearest 10000.\nAnswer: 1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**5\/2 - 670*g**4 - 4605*g**3 - 9820*g**2 - 16985*g\/2 - 2610 = 0?\nAnswer: -261, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 5:15 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10250, 20350, 30450, 40550, 50650, 60750?\n\"Answer: 10100*t + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j - 5*j**2)*(-3 + 2 + 0) + (1 - 5 + 5)*(12*j**2 - 4 + 4).\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001289544 to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 + 83. Suppose -4 = -2*o + 2*g - 18, -2*o + g = 11. Which is the closest to o? (a) -0.5 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-120)\/344) - -8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4493\/24010 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -185\/4 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (9 - 1) + (1 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 25*f + 38. Let k be m(24). Solve 4*s + 6 = -k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16, 31, 48, 61, 64, 51, 16, -47?\n\"Answer: -k**3 + 7*k**2 + k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36900 - -221399\/6. Let p = 340\/7 + -50. What is the third smallest value in -2\/5, 5, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 - u - 3*u**3 - 1 + u**3 + 0*u + 4*u**4 in the form n + s*u**2 + i*u**3 + j*u + f*u**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.2 - 37. Let t = u + 4. Let s = 53.9 - 53.82. Which is smaller: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(52)\/sqrt(4))*5)**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2. Let m(t) = 2698331*t. Determine m(a(h)).\nAnswer: 8094993*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 127 = 5*i, 83 = -4*i + 125*a - 122*a for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -8, -0.7.\nAnswer: -8, -0.7, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 13*r**2 + 15*r - 18. Let a = 39 + -25. Let u be m(a). What is the remainder when (-9 - -13)\/(u\/(-86)) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28.305 + -27.90862. What is u rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2621793 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39078879 to the nearest integer?\nAnswer: 6251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 1669721 divided by -7\nAnswer: -1669721\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**3 - 27*o**3 + 38*o**3 + o**2.\nAnswer: -6*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30448524 is divided by 7612074?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 5:55 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (88\/(-88))\/(3\/(-102)). Which is greater: l or 24?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5345745705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + o**5 + 4 - 2*o**5 + 0 + 0 + (3*o - o + 0*o)*(0 + 2*o**4 + 0) - 298*o**2 - 300*o**2 + 776*o**5 - 8955*o**5 + 598*o**2.\nAnswer: -8176*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 25 = h. Suppose h*g + 4 = -5*j + g, 5*j + 3 = -3*g. Let s = 10 - 7. Solve -s*c + j = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818770.\nAnswer: 2, 5, 41, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 + 55 = -2*a. Suppose -2*q + 5*w - 28 = -a*q, 2*q - 2*w = -4. Solve -q*s = s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/20720 and -143\/10360?\nAnswer: 20720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.66 + -0.14. Is z at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, s: 9, r: 3, o: 5}. What is prob of picking 1 o and 1 s?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.1 - 0.1. Let k = n + -29.1. Let v be 10\/(-8)*3\/(-5). Which is the closest to k? (a) -0.5 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1371856037 + 0.\nAnswer: -1371856037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -4.1. Let a = -17 + 22. Let j be (5 - a)\/(4\/2). Sort j, n, -2 in descending order.\nAnswer: j, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -6, -5 in decreasing order.\nAnswer: 1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120\/11 + -811\/33. Calculate the common denominator of l and 11\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 1:40 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174 - 167.1. Let o = l - 7. What is the closest to -1\/4 in -2\/7, o, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182146 and 37027.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2950 + 2146 = -134*j. Let o(t) = 3*t - 1 + 3 - 5*t. What is the lowest common multiple of o(-6) and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 377*x**3 + x**2 - 4587*x**3 + 0*x**2 - 6279*x**3 as n*x + v*x**3 + j + z*x**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/4 - 603*o**2\/4 + 30015*o\/2 = 0.\nAnswer: -690, 0, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 7 = 2*y, -18*y + 4*x + 179540 = 179542 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1731*p**3 + 23*p**2 - 55*p**2 - 1733*p**3.\nAnswer: -2*p**3 - 32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58400 by -11680.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqe when three letters picked without replacement from {w: 1, q: 2, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/10)*z)\/z*(z**(-10\/9)*z)\/z)**4 assuming z is positive.\nAnswer: z**(-218\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*(-680)\/(-5355)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3673 (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/4 - 3\/8*l - 1\/8*l**2 = 0. What is l?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 20523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*l, 0 = r - 0*l + l + 1. Find the first derivative of 0*m - r - m + 7 wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2621 and 0.05?\nAnswer: 2621.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((a*a**(1\/9)*a*a)\/a)))\/a)\/a**(1\/34)*(a*(a*a**(-8\/7))\/a)\/((a*a**(-10))\/a) assuming a is positive.\nAnswer: a**(23431\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + r**2. Let j = 115 - 113. Suppose x - 5*n - 3 = 0, -7*x - n + 15 = -j*x. Let b(v) = 4*v**3 + 2*v**2. Calculate x*q(m) + b(m).\nAnswer: m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/15235 or 746?\nAnswer: 3\/15235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -458*h**3*j*m**3 - 2*h**3*m**2 - 11*h*j*m - 4*j*m**2 + 2 wrt m?\nAnswer: -2748*h**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51513 is divided by 486.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 m, and 1 e when four letters picked without replacement from eenmcc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2, -0.02, 6\/151?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -112.543?\nAnswer: 112.543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*(-5 + 2*sqrt(1377))*-2 + 2)**2.\nAnswer: -25056*sqrt(17) + 796516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 2)\/(3\/15*5). Suppose b = -2*k - 45 + 13. Let l(p) = -p**3 - 16*p**2 - 7*p + 7. What are the prime factors of l(k)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 2 = 4*d. Differentiate -6 + 6*x**3 - 16*x**3 + d + 1 with respect to x.\nAnswer: -30*x**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: 5, f: 12, k: 1}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5 + 8398*s**4 + 8413910*s**3 - 869023926*s**2 - 34133711040*s - 289754150400 = 0.\nAnswer: -2145, -16, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 79 + -7 - 164.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 134*x**3\/3 - 91*x**2\/2 - 603. Find the second derivative of u(s) wrt s.\nAnswer: 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 517125 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 163552635 to the power of 1\/3, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/22 + 1\/(33\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549, -1067, -1581, -2091, -2597, -3099?\nAnswer: -3597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9170.\nAnswer: 2, 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 7*g**2 - 8*g - 10. Let o be d(-6). Suppose -o*j + 0*h = 5*h - 2, 8 = -4*h. What is the smallest common multiple of j and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + l. Let v(w) be the second derivative of w**4\/2 - w**3\/6 + 9*w. Let p(o) = d(o) + v(o). Let x(j) = -j**2. Calculate x(p(u)).\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14728 times -1.1\nAnswer: -16200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*m - 882 = -95*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 385080, 2, -2.\nAnswer: -2, 2, 385080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37\/4 + 9. Suppose -22 = t - 27. Is t <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -359*j - 2081. What is b(-6)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 8:18 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170118396.\nAnswer: 2, 83, 3524453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 197911 equal to 197911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259478 and 25482.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*r - o, -5*r + 36 + 6 = -3*o. Let k be 0*(r\/(-2) - -4). Solve k*m - m - 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 465532 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-7)\/n))*n)**(2\/57) assuming n is positive.\nAnswer: n**(-14\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c - 77?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 8. Let a be m(6). Let b(q) = 2*q**3 + q**2 - 2*q + 6. Let k be b(a). Suppose v - k - 165 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 71*r + 144. Let t be l(-69). Solve -9*f - t = -7*f, 2*f + 8 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Suppose -4*l = 4*t - 340004, t - l - 3*l - 84996 = p. Let f be (t\/(-12))\/((-1)\/480). Round f to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -4, 5995.\nAnswer: -5, -4, 1, 5995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 79*l**3 + 396*l**2 + 44*l + 174. Determine s(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + b + 222 = 4*k, 2*b = -2*k + 222. Calculate the highest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 5.000208. Round c to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 != 308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 0*n**2 + 1\/4*n**4 - 4\/3*n**3 + 2 - 2*n. What is d(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + -2*sqrt(5) + 1 + sqrt(405) - ((sqrt(5) + sqrt(125))*-3 + 2*sqrt(80)).\nAnswer: -4 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*w + 4*o, -4*o + 1 = w + 21 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -8, 43, 146, 319, 580, 947?\n\"Answer: 3*r**3 - r**2 - r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbnncyybbaaaaabaacay. What is prob of sequence cybb?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/10)\/(7\/(59920\/22)). Let d = 156 - t. Which is the smallest value? (a) d (b) -4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f**2 - 7*f**2 + 17*f**2 - 2 - f**3 + f. Suppose 5*p - 10 = -0*p. Suppose -4*t = 5*r - 7, -r - 2 = -t - p*r. What is o(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192433.72 rounded to the nearest one thousand?\nAnswer: -192000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/22542156 and -63\/52.\nAnswer: 22542156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 578 = -10*x - 4*r, -5*r + 20 = 0. Suppose -x*h = -286*h. Solve 109*w - 104*w + 20 = h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 4:12 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 344\/835 - 2\/167. Suppose 2\/5*i**3 + 2\/5*i**2 - 2\/5*i - l*i**4 + 0 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -28*s - 1451 + 2969 - 1511. Let d(f) = 14*f - 4. Determine -7*d(b) - 4*l(b).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -67. Suppose -4*z + 4*c + 5 = -h, 4*c = 5*z - 15. Factor 36*d**2 + 8 + 15*d**3 + 10*d**3 + 1 + 30*d - 7*d**3 + z*d**4.\nAnswer: 3*(d + 1)**3*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20565.\nAnswer: 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2754 and 1145205?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 18*t**2 + 7*t + 6. Let n be p(-1). What is the third derivative of -n*a**3 - 50*a**2 + 122*a**2 + a**4 - 43*a**2 wrt a?\nAnswer: 24*a - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -349*w**3 + 6*w**2 - 194*w. Let m(j) = -347*j**3 + 5*j**2 - 196*j. Let r(k) = 6*m(k) - 5*t(k). What is the second derivative of r(q) wrt q?\nAnswer: -2022*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - 48*i - 272. Calculate the least common multiple of y(-14) and 868.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (187 - 107)) + (12 - 1) + -2.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxxtuunnntuux. Give prob of sequence nx.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/11 in -2\/7, -553, 3, 2\/15, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 214 or 211?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1141*q**2 + 44*q - 142. Is u(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -33. What is the first derivative of 42 + 5 - d**4 - 2*d**4 + 26*d**m - 3 wrt d?\nAnswer: -12*d**3 + 52*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 12*g + 14. Let c be l(-14). Let v = 44\/3 + c. Put -3\/2, -0.5, v in increasing order.\nAnswer: -3\/2, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5\/13 - 10*i**4\/13 + 24*i**3\/13 + 136*i**2\/13 - 64*i\/13 - 384\/13 = 0.\nAnswer: -4, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99 - 62. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58852, 117756, 176660, 235564, 294468, 353372?\nAnswer: 412276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 1:56 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45738589.\nAnswer: 13, 3518353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1016\/3 - -339. What is the third smallest value in k, -98, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**3 - w**2 + w - 6. Determine g(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 841*d - 859*d + 90 = 0. Solve -6*t + d*t - 4 = 0, 5*t = 3*z - 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20650183 + -56250183. Let l(p) = -p**2 - 6*p - 10. Let r be l(-4). Let u be (m\/(-12))\/(r\/(-6)). What is u rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 greater than or equal to 216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 1. Let v be y(-2). Let h = 107 - 99. Suppose 51*d - 49*d = -h. Sort -1, v, d in increasing order.\nAnswer: d, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6887175 divided by -3435.\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 114*z + 290. Let w(l) = 53*l + 138. Let h(j) = -13*w(j) + 6*x(j). Determine h(11).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 486 = -7*x - d, -5*d = 5*x - 490. Let i = -87 + x. Let a be ((-168)\/105)\/(-1 + 9\/i). What is the greatest common divisor of a and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 4*i**2 - 2*i - 1. Let g be f(2). Suppose -3 = -n - 0. Suppose 3*y + n*q = 24, 0*y + g*q = -y + 2. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 10 = 2*h - 22, 2*h = 0. Solve 4 + g = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2197197128?\nAnswer: 2, 7, 1231, 31873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 45*u + 750.\nAnswer: -3*(u - 10)*(u + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(2 + 58*k**5 - 28*k**5 - 3).\nAnswer: 60*k**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -35*(-1 + 12\/(-20)). Let i = u - 0. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11181 - 7902. What are the prime factors of l?\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/16)*t)**14*t**(1\/31)\/(t**(-9\/4)\/t) assuming t is positive.\nAnswer: t**(4503\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 79?\nAnswer: 17\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*(-1 + sqrt(245)) + (sqrt(245) + 0)*-2) - (4 + -6*(4 + -1 + sqrt(405) - sqrt(405))))**2.\nAnswer: 770*sqrt(5) + 6246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 4*y**2 + y + 4. Suppose 2*f - 14 = 2*u, 3*f = -9*u - 80 + 113. What is the least common multiple of u and x(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 25 = 3*x + 4, -3*b - 13 = x. Let f(o) = -2 - 2*o**2 + 2 + 0*o**x. Let r(p) = 7*p. Give f(r(n)).\nAnswer: -98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34011\/169 or 200?\nAnswer: 34011\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6515653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 461611 to the power of 1\/2, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4763260?\nAnswer: 2, 5, 238163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.132 and 38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 535568 and 43384.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 411 + -176. Let n be -4*(-1)\/(-2)*v. What is n rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22022, 44046, 66070, 88094, 110118, 132142?\nAnswer: 154166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(1\/16)))\/(k*k*k**(-26)*k*k) assuming k is positive.\nAnswer: k**(353\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from kanaaankk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -196 (b) -12 (c) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11869 (b) -0.02 (c) -0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3 = 1. Is b greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/((-966)\/(-56)))\/(-102).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5388*s + 5393*s = 2*u + 33, -17 = -3*u - 2*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*r - 14*r - 10*r**2)*(-r**2 + r**2 - 2*r**2).\nAnswer: 20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 1) + (4 + -1)*503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 6*t + 1. Let h be a(-7). Let y = h + -3. Let v = 3 - 0. Solve -y*o + 3 = s, -4*o - 9 = -v*s + o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4780 and 670?\nAnswer: 320260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246944 by -61736.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*t**2 + 4*t**4 - 6*t**2 + 12*t**3 - 6*t**2 - 12*t.\nAnswer: 4*t*(t - 1)*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*h - 4 = 0, 0 = 4*v - 10*h + 11*h - 2. Let o(w) = 4 + 2*w**2 - 1261*w + 1254*w + v. Let r be 3\/(-12) - (-17)\/4. Give o(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a kilogram in grams?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 896043733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 9:37 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589*i - 14*i**2 + 1 - 246*i + 45*i**2 - 26*i**2 - 344*i.\nAnswer: 5*i**2 - 1179*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. What is the nearest to 0 in -0.2, z, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 1, -4, -2\/179, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29846745 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 145*w + 9 + 2 - 1 + 137*w**2 - 2*w**2.\nAnswer: 5*(w + 1)*(27*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24522 divided by 402?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 8. Let r = 0 - a. Let j = -0.18 + -0.12. What is the second smallest value in r, -5, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/18 and -67\/3849?\nAnswer: 23094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680240?\nAnswer: 2, 5, 11, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v - 187. Let g be k(21). Suppose g*l**2 + 36 + 60 + 44*l + l**2 + 3*l**2 - 8*l**2 = 0. Calculate l.\nAnswer: -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.291 + 97.709. Which is the nearest to -2\/3? (a) u (b) 2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -186.94 - -189. Let d = -2 + o. Let l = -0.04 - d. Round l to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**3\/3 + 3*b**2\/2 + 13*b - 2. Let t = 926 + -930. Let z be p(t). Solve -4*u = -3*s - z, 2 = u - 3*s - 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 901793*h**2 - 898175*h**2 in the form z*h + p + q*h**2 and give q.\nAnswer: 3618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 9, 4.\nAnswer: -11, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 48 = -0*s. Calculate the remainder when 29 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(117) + 1 + 5)*-5 - (-4 + -3*(-1*sqrt(117) - sqrt(117) - sqrt(117)))*-2) + -3)**2.\nAnswer: 1572*sqrt(13) + 17629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23 greater than or equal to -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 26235.\nAnswer: 209880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1)*2\/3. Let y = -269.2 + 271.2. Which is the nearest to -3? (a) y (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(64)\/sqrt(72) + ((sqrt(64) - (sqrt(64) + (sqrt(64) - sqrt(64)*2)*3)) + sqrt(64))\/sqrt(2).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 f, and 1 y when three letters picked without replacement from {l: 2, f: 1, y: 1, h: 5, m: 3, p: 8}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 181. Let o = 68.69 - p. What is o rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaaaraaaaaaaaaaaa?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 5. Suppose -1 = 8*p - 1. Determine b(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p*w**2*x*y - 61*p*w*x**3*y - 2*p*y + 14614*w**2*x**3 - 313*w**2*x + 9*w*x**2 - 2*x**3*y - 2*x**2 - 57 wrt x?\nAnswer: -366*p*w*y + 87684*w**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -113*g + 88. Give f(4).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*c + 4. Let y = 16 + c. Let n be 35\/28*y\/(-10). Is -1 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42.8*0.43\nAnswer: -18.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*s + 36*s - 158*s - 132*s**2 + 33*s + 56*s.\nAnswer: -132*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 48.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g + 6. Suppose n + 7 = 6. Let c(v) = -1. Calculate n*u(a) - 4*c(a).\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 579 - 3467*j - 2053 - 1365 - 885 - 34 wrt j.\nAnswer: -3467","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 11*d**9\/6 + 6353*d**5\/60 - 106*d**2 - d + 4. Find the third derivative of c(t) wrt t.\nAnswer: 110880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6098 or 6104?\nAnswer: 6098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*d**5*m - 10*d**3*m**3 + 16*d*m**3 - m**3 wrt d?\nAnswer: -840*d**3*m - 60*d*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186.3 + -186.3. Which is the nearest to -0.5? (a) 0.5 (b) -0.4 (c) 3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 452*g. Let b(z) = -454860*z - 2. Determine q(b(o)).\nAnswer: -205596720*o - 904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3585*q + 5189 + 17648 = a + 4906, -a - 8 = q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 34*l**2 + 36*l - 93. Determine s(33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 40 - 8. Let t be ((-30)\/(-24))\/(3\/y). What is the greatest common factor of 4 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + 21*k**2 - 6*k - 35. Let j be m(10). What is the second biggest value in 0, -2.6, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -27*s - 818. Give v(-29).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 26 = -148. Let x be 3 - 8\/(8\/(-3)). Is t smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 - -12)*(-1)\/(-1). Find the third derivative of -g**2 - 4*g**d - 13*g**4 + 0*g**2 wrt g.\nAnswer: -312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8*n**2. Let y be 8\/10*(-10)\/(-4). Let j(z) = y*z - 4*z + z. Calculate j(i(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3149712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -57*t**2 + 96*t + 21. Suppose 0 = c + j - 20, 2*j = -2*j - 4. Let g(b) = 11*b**2 - 19*b - 4. Let p(m) = c*g(m) + 4*l(m). Factor p(w).\nAnswer: 3*w*(w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 13*w - 25. Calculate s(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -198 + 2972\/15. What is the third biggest value in 4\/9, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278695 minus 2723?\nAnswer: 275972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 6:26 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109.41 + 33.49. Let y = v + -143. What is the nearest to -1\/2 in y, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**28\/(i*i\/i**22))**33 assuming i is positive.\nAnswer: i**1584","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 3*s - 447*s**3 + 851*s**3 - 433*s**3.\nAnswer: -29*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1302369256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000064 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4259 - 41661 = -1640*b for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b9d - -ac7?\nAnswer: -40b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + (sqrt(98) + 1 - sqrt(98))))**2 + 5.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-3))\/21 - (-353)\/273. Let u = g - 10\/13. Which is smaller: u or -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105361951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 695399 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -1784.\nAnswer: -1784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-180))\/((-2)\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbrrrbyr. Give prob of sequence yr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-444)\/(-14) + (-2)\/(-35)*5. Suppose -2*f + t = 2*i, -i - 11*f = -7*f - 28. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2 + 10. Let b be v(-7). Let z = b - -255. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**2 + 30*r + 13. Let s be y(8). Let f = 27\/2 - s. Which is the second biggest value? (a) 8 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - q + 3*q**4 - 1 + 2*q**4 + q**3 to the form b*q**3 + d*q**4 + j*q**2 + g*q + l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -205880, 1, 8, -6.\nAnswer: -205880, -6, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 4:57 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 divided by -3673.\nAnswer: 121\/3673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**8\/1680 + t**7\/420 - t**6\/360 + 7*t**3\/3 + 18*t. Let o(w) be the second derivative of b(w). Factor o(a).\nAnswer: -a**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 438*x**2 - 943*x**2 + 805*x**2 - 2*x**3)*(2*x**2 + 0*x**2 - 3*x**2).\nAnswer: 2*x**5 - 300*x**4 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 257, 267, 311, 407, 573, 827?\n\"Answer: 3*h**3 - h**2 - 8*h + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from ollooooo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -14*z**2 - 10*z - 1. Let h be p(-1). Let i(m) = 4*m**2 + 21*m - 2. Let b be i(h). Sort -2, 1\/4, b in descending order.\nAnswer: 1\/4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4938)\/(-9))\/((-4)\/6). Let z = k + 343. Let q = z - -757. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4))**(-34)*p**(-1\/6)\/p**(-2\/11)*(p**1\/p**(4\/9))**49 assuming p is positive.\nAnswer: p**(3538\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*604549.\nAnswer: -12090.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 877766649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1077 - -1073. What is the closest to -2 in -2, -2\/23, 9, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 11*f**2 - 60*f - 685. Determine v(-11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -2\/5*r**2 - 2\/15*r**3 + 6\/5*r + 5. Suppose l(n) = 0. Calculate n.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((296\/(-24))\/((-4)\/(-3)))\/((-54)\/9504). Which is smaller: 1630 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 8*a**2 - 10*a + 8. Let k be r(9). What is the units digit of 4404*20\/12*k\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + (-4 + (1 + sqrt(76) + sqrt(76)*-1 - (1 + sqrt(76) + 1 + sqrt(76))))**2)*-6.\nAnswer: -1974 - 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 21*n**2 - 38*n + 12. Let y be z(-19). Solve -4*a = -a - y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Let a(q) = 4*q + 9. Let h(g) = a(g) - 2*j(g). What is the units digit of h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -25 + 16 - 9 - 42 + 3*g - 5. Determine z(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 499*j**2. Let i(s) = -s**2. Calculate m(i(o)).\nAnswer: 499*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**2 - 5*u - 4. Let m(b) be the first derivative of b**3 + 2*b**2 + 5*b + 8232. Give 2*j(k) + 3*m(k).\nAnswer: k**2 + 2*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.5? (a) -0.5 (b) -5 (c) -207.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -7*v**6\/30 - v**4\/2 + 3*v. Find the third derivative of f(m) wrt m.\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**3 - 60*q**2 - 24*q + 322. Calculate a(15).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117349470 and 1190?\nAnswer: 117349470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**2\/2 - 4. Let g(z) be the first derivative of z**4\/2 + 3*z**2 - 1. Calculate g(x) - 6*h(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 181, 327, 477, 631?\n\"Answer: 2*z**2 + 140*z + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**6\/27 - 14*q**5\/45 - 4*q**4\/9 + 32*q**3\/27 - 97. Factor s(m).\nAnswer: -2*m**2*(m - 1)*(m + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 n, and 1 z when three letters picked without replacement from andjzam?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -770, -783, -812, -863, -942, -1055, -1208?\nAnswer: -1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-21) - -2)\/(14168\/(-46046))?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648\/40 - 2\/10 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.059 + -3.041. Let n = -2.6 - t. Which is the second biggest value? (a) 2 (b) n (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*l = 10, g + 0*g + l = -2. Suppose -2*p + 0*c + 5*c + 27 = g, 67 = 4*p + 3*c. Calculate the highest common factor of 176 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335 a factor of 93541279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, 4, -1 in decreasing order.\nAnswer: 5, 4, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 7 + -4 + 2 + 17 + 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**8\/3360 + t**7\/360 + t**4\/6 - 9*t. Let b(d) be the third derivative of s(d). What is the third derivative of b(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 12 + 1 + c**2 + 2*c - 3 - 7. Determine n(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:43 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -24106299 smaller than -24106307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.35? (a) 0.2 (b) 32.8 (c) 2\/7 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 + 2. Let m = 821\/180 + -13\/36. Let d = m - 68\/15. Which is the closest to x? (a) d (b) 8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -34, -9, 7 in descending order.\nAnswer: 7, 0, -9, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410580.\nAnswer: 2, 3, 5, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1434 is divided by 294.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*m = 8*m - 180, -3*u + 145 = m. Suppose 5*s + u = -0*s. Calculate the common denominator of -2\/3 and (9\/s)\/((-30)\/110).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, 0.4, 2\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1716 is divided by 52?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7683408 is divided by 1333?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -27*y - 57. Let o(t) = 32776*t**2 - 11*t - 17. Let k be o(y). What is k rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 28. Let w = z - 15. Suppose -3*o + 1 = 4*k, 0 = -3*o - 3*k + 4 - w. Solve -h + 1 - 4 = -3*u, -11 = -u - o*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + 5*-5*sqrt(68))\/sqrt(4) + (sqrt(204) - 5*(sqrt(204)*2 + sqrt(204)))\/sqrt(12).\nAnswer: -37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*x + 535*x + 1120*x.\nAnswer: 1213*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) 0 (c) 3 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 - c. What is y(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4\/7 - 1305*m**3\/7 + 11678*m**2\/7 - 2592*m = 0.\nAnswer: 0, 2, 7, 1296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.99 (c) -14.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 165*a + 17758. What is k(-113)?\nAnswer: -887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357 (base 15) to base 6.\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, 0.07, -475, 2\/21, 0.3 in descending order.\nAnswer: 0.3, 2\/21, 0.07, -2, -19, -475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303 + -301 + 37\/(-19).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 4\/11921, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzt when three letters picked without replacement from {t: 11, z: 5}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -876*d**2 + 876*d**2 + 107*d**3 - 31 wrt d.\nAnswer: 321*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219909917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -5, 0.4, -30 in ascending order.\nAnswer: -30, -5, 0.4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -23238519129 - -24\nAnswer: -23238519105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -1. Let t = 8 - a. Solve 0 = t*r + 3*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31401 (base 11) in base 7?\nAnswer: 250231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6*l - 56 = 0. Suppose -140 = -l*k + 28. What is the smallest common multiple of 30 and k?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 10*d - 175, 0 = 3*x + 4*d - 8*d + 53 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23013302 (base 5) to base 12.\nAnswer: -9a20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -22\/17, 0.3, 196, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g - x = 1, 2*g = -5*x - 2. Sort g, 5, 7 in decreasing order.\nAnswer: 7, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from tiwtwwtwtttttitttwtt.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 182 - 182. Suppose -5 = -2*f - z*f - 3*y, -f - 4*y = 0. Solve o + 15 = -2*o + 4*t, f*t + 15 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 351\/45 + ((-12)\/5)\/3. Solve -9*k + 5*k - q - 7 = 0, 2*k - z*q = 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/45*1)\/(134\/5494)?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 189617*h**2 + 293032 wrt h.\nAnswer: 379234*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112.3634443 + -194.3634394. Let p = z - -82. What is p rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 2*f**4 + 25*f**3 - 3*f**4 - 24*f**3 + 3*f in the form j*f**4 + u*f**3 + d + b*f + p*f**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 452 - 446. Let n(u) = u - 2. Let r(p) = -p + 2. Let i(o) = o**3 - 12*o**2 - o + 17. Let q be i(12). What is c*r(t) + q*n(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 k, and 1 v when three letters picked without replacement from hhwwhkwvmhm.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**2\/2 - 27*b = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 633*i**2\/2 - 6*i + 7. Let k(h) = 950*h - 9. Let x(v) = 5*k(v) - 8*y(v). Is x(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1849*z - 1853*z = -2*w, -3*w - 4*z = -20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*i**2 - 49*i + 5573?\nAnswer: 22*i - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 0 + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1090 - -2120. Let f be (b\/7 - -6) + (-1)\/7. Solve -k + 148 = f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-8))\/j*j)\/j*j**10)\/(j**(-7)*j**(-1\/18)\/j) assuming j is positive.\nAnswer: j**(469\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 40, -43 in ascending order.\nAnswer: -43, 6, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106*0.0664.\nAnswer: 7.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/895 and 82\/2745?\nAnswer: 491355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 4:39 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2051 is divided by 1015.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/7, 67, 5\/9, -10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60.43 * -77.\nAnswer: -4653.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220 (base 5) in base 10?\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -2955121?\nAnswer: 2955123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(603\/(-30) + 20). Let z = 6 - 5.1. Let p = 1.6 - z. Which is the second smallest value? (a) w (b) 1\/3 (c) 1\/5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:04 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -383 + 403. Suppose 24*r - w = 14*r. Solve r*o + 3*t = -o - 15, t = -5*o - 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2603815 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 13*s - 5. Let i be p(-3). Let d be 2\/(-11) - 756\/i. Let l = d + 5. What is the greatest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (4 + -12 + 1 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (5 - (5 - 2)) - -5. Let y be -3 + b - -5*(5 + -2). What is the second derivative of 5*a - 11*a - 7*a**2 - 7*a - y*a wrt a?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3020 + -3019. Which is the nearest to 1? (a) 10 (b) -2\/3 (c) k (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - 1 + 1)*(2*i**2 - 26*i**2 + 10*i**2)*(i - 4*i + i) to the form h + v*i**4 + r*i + n*i**2 + o*i**3 and give v.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u. Let z(o) = -99*o**2. Determine z(l(x)).\nAnswer: -891*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7 = 3*a. Let v be 7 + a - (-12)\/22. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let y = n - -3. Suppose -h + 39 = y*h. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w - 17*w - 2*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*r + 9*r = -4, r + 4 = 0. Let w be (o\/(-1) - -7)*0. Solve -4*f + 20 - 4 = w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -39 + 7*l**2 + 4\/3*l**3 - 14*l. Let m(b) = -4*b**2 - 13*b + 15. Let y(d) = 5*f(d) + 4*m(d). Solve y(q) = 0 for q.\nAnswer: -5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7677 and 74211?\nAnswer: 222633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.35 + 0.35. Which is the second biggest value? (a) 0.2 (b) 0.6 (c) -0.1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2 + 2)*(2*g + 1 - 1) - 2 + 2 - g**2 - 5*g**2 - 2*g**2 + 0*g**2 + (-1 + 0 - 1)*(1 - 1 - 2*g**2).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -539*i - 1550*i**2 + 464*i - 298*i**2.\nAnswer: -1848*i**2 - 75*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*(3 + 1). Let i = -8 - -7. Let j = -335 + 330. Put v, j, i in descending order.\nAnswer: i, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 64*x**2 + 2*x - 124. Let r be i(64). Determine s, given that -8*s**3 - 4\/3*s**2 + 22\/3*s + r + 2\/3*s**5 - 8\/3*s**4 = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 578*p**3 - 26971*p - 103396838.\nAnswer: 1734*p**2 - 26971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11777793, 11777862, 11777931, 11778000, 11778069, 11778138?\n\"Answer: 69*n + 11777724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x - 3*x + 2*x + (0*x - x + 2*x)*(5 - 2 - 5) - 138*x + 54*x + 56*x to z + q*x and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 - 14 = -2*z, -o - 3 = -z. Which is the biggest value? (a) 0.4 (b) -0.5 (c) o (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4824622?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2\/23*t**4 - 304\/23*t**3 + 302\/23 - 300\/23*t**2 + 304\/23*t = 0?\nAnswer: -151, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-2*sqrt(143)*-3 - sqrt(143)) + 1*sqrt(143)*1))\/(2*(sqrt(110) + (sqrt(110) - -1*2*sqrt(110)))\/sqrt(10)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 6*v + 50 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y*y**(2\/19))\/y*y*y*(y\/(y\/(y*y*y**(-4))))\/y*(y\/(y*y**0))\/(y\/(y**(-1\/4)\/y*y))*((y*y**3*y)\/(y\/y**3*y))**(-14) assuming y is positive.\nAnswer: y**(-6471\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 + -a98486?\nAnswer: -a98460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**7\/2100 - h**6\/900 - h**5\/150 - h**3 + 10. Let u(n) be the third derivative of p(n). Find s such that u(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132541370*x + 158273193 wrt x.\nAnswer: 132541370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 103260882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 5)*(0 + 1). Suppose -3*v + 3*p = -1746, -z*v + 1184 = 7*p - 4*p. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 7070*n**2 + 42474*n + 63738.\nAnswer: -2*(n - 3541)*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-774)\/(-10) + (-4)\/10. Let b = w + -54. Suppose -5*n = t - 39, -5*n + 0*n + 3*t + b = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03815982 + 5?\nAnswer: 5.03815982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -39\/994?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2472? (a) 0 (b) -14 (c) -1.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**4\/4 - 22*j**3\/3 - 159*j**2\/2 - 252*j - 934. Factor r(g).\nAnswer: (g - 28)*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1505245*b. Let m(f) = -11*f. Determine m(t(j)).\nAnswer: 16557695*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 6*a**2 + 7*a - 15. What are the prime factors of t(4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in 67.6, 0.5, 156?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -256, -1047, -2366, -4213?\n\"Answer: -264*i**2 + i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/(-56))\/(515\/(-105) - -5). Solve -3*g - 19 = -2*x, 4*x + 11 = -5*g - j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -674\/1497 - 13476739\/14970. Let j = 913 + y. Find the common denominator of -53\/44 and j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189 + -185. Solve p - 8 = -5*w, -4*w - f*p - 2 = p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 124918474 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/35 in -0.1, 21, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*f + 4*f. Let z = 7 + f. Which is greater: -6\/19 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from bwebv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7648 divided by 478.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**(5\/9)*q*q\/(q**(-3\/5)\/q)*(q*q**(4\/5))**(-22) assuming q is positive.\nAnswer: q**(-311\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 2*z. Let a(p) = -4*p. Give s(a(b)).\nAnswer: 32*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 53, 0.4, 0, -1, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 6.7. Let p = 16.4 - 18. Let c = 2 + p. Put 2\/7, c, x in descending order.\nAnswer: c, x, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c - 2. Let a(s) = s. Let j(p) = -3*a(p) + v(p). Is 3 a factor of j(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*l**2 - 12\/5*l - 18\/5 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602039 is divided by 4737?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196 - -148. Which is the second biggest value? (a) -3\/7 (b) 1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/6 - 0)*14. Let v(s) = -2*s**3 - 4*s**2 - 2*s - 13. Is v(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*h**2\/4 - 30*h - 36.\nAnswer: 3*(h - 4)*(13*h + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 82. Let g = h - 54. Suppose 3*n - 4*c + g = -0*n, 3*n + 4*c - 20 = 0. Solve n = -3*u - 3*m + 6, 4*u - m = -6*m + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rror when four letters picked without replacement from {r: 2, y: 2, o: 1, v: 8, x: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1660496*1.\nAnswer: -1660496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2\/21 + 568*s\/21 + 29230\/7 = 0.\nAnswer: -111, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -749, -2991, -6735, -11987, -18753, -27039, -36851?\n\"Answer: -a**3 - 745*a**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 9) in base 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 1006\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/4, 34, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.501 - -3.\nAnswer: -23.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1008 divided by 175447.\nAnswer: 1008\/175447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/2 (b) 10 (c) -1 (d) -1\/1144 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004039408676 rounded to 6 decimal places?\nAnswer: -0.004039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8 = 5*f, 2*f = 3*r - f + 3. Suppose 3*q - 9 = -3*y, 2*y - 5*y = 0. Let x be (-2)\/(q - r)*5. Let g(c) = -c**2 - 4*c + 2. Give g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*q = z - 24, -3*z = -4*q - 18. Let a(r) = -r - 12. Let o be a(z). Is -18 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591671 is divided by 197023?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 86*u = -87*u - 4691, -2*w = 5*u - 1871. Calculate the least common multiple of 4556 and w.\nAnswer: 31892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 46287450.\nAnswer: 9257490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 11*s + 12*s - 4, 4*i - 1325 = -5*s - 1303 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2686949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 176291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1425)\/39 - (-246)\/820*130.\nAnswer: 32\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-540)*27\/(-36)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6449295 to the power of 1\/2, to the nearest integer?\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*y**3 + 3386094*a**3*y**2 - 2*a*y**3 - 2779*a*y**2 + 14*y**3 - 18 wrt a?\nAnswer: 12*a*y**3 + 20316564*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -124, -111, -76, -7, 108, 281, 524?\n\"Answer: 2*o**3 - o**2 + 2*o - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 52*i**2 - 15440*i + 14208 = 0.\nAnswer: 12\/13, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 h when three letters picked without replacement from vtotthtot.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 450 - 1165. Is (d\/38)\/(1\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 9. Let v be f(-7). Let p = v - -1. Solve 0 = -0*n + p*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-1))\/(3 + -4 + 2). Let k be (r + (-14)\/(-10))\/((-12)\/(-180)). Let o(v) = -v + 3. What is o(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5504844281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325 divided by -19952.\nAnswer: -325\/19952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6 + -3.3. Suppose -c + 3*n = -13, -c - 3 = 2*n - 1. Suppose c*r = 4*t - 40, 2*t = -0*t + 5*r + 20. Put 2\/5, l, t in descending order.\nAnswer: t, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 321*h**3*u**2 - 2*h**3*z - 3*h**3 - h**2 - h*u + 1150*u**2*z + 18*u*z - z wrt u?\nAnswer: 642*h**3 + 2300*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**5\/20 - 5*s**4\/6 - s**3 - s**2 - s. Is h(11) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*a - 13*a + 12*a)*(4*a**3 - 5*a**3 + 2*a**3).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f + 9. Let d(z) = 10*z + 19. Let x(w) = -5*a(w) + 2*d(w). Let c(y) = -2*y - 3. Suppose 134*u = 117*u + 102. What is u*x(i) - 14*c(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 2 - 6\/(-1). Suppose -c*b + 23 = -63. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-189) - (12\/28)\/1. Is 1 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4639.\nAnswer: 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + b**2. Let j(u) = -8*u**3 + 6*u**2 - 2*u. Let c(a) = -j(a) + 6*s(a). Find the second derivative of c(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 65 - 20. Solve u*y - 5 = z, -5*z + 4 + 15 = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -10*i**2 - 123*i + 395. Determine v(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 10:20 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 439005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5546 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22233 (base 9) to base 16\nAnswer: -39b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w - 2. Let t(n) = -11*n + 2. Let c(g) = 5*r(g) + 4*t(g). What is the remainder when 19 is divided by c(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**3 - 6*g**3 + 3*g**3 + (-2 - 2*g + 2)*(3*g - 2*g**2 - 3*g) as o*g**3 + f + k*g + s*g**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(-11)))**0)**(1\/36) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 5*i - 3. Let c be u(5). Let a = c - -8. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -5\/24, -8, -104.98?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -884, -863, -832, -785, -716, -619?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0801 - -496.9199. Which is smaller: 0.1 or k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*o + 62. Let l = -12 - o. Suppose -2*r = -2*w + 2*r + 24, 2*w - r = l. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28\/3 - -134\/15. Put -14\/9, -2, r, 1\/8 in increasing order.\nAnswer: -2, -14\/9, r, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -19 - (-148 - -39 - -46)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 27*n + 20. What is s(1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/2 - 218\/(-4) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 1.413?\nAnswer: -1.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7191683 a multiple of 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -2)\/((-3)\/16). Solve 0 = 3*l + 4*u - 1, -u = 4*l - 0*u + q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10572 and 2843868?\nAnswer: 2843868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29683110 and 920?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, -1, -5 in increasing order.\nAnswer: -115, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -10122?\nAnswer: -10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48 - -8646?\nAnswer: 8694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8749295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 - 4*n**4 - 4*n**3.\nAnswer: -n**3*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 6 (c) -10\/7 (d) 2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 221112681 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 5 - (-17 - (5 + -1 - 9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015 - -1025307.974?\nAnswer: 1025307.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 456 divided by 336939\nAnswer: 152\/112313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25989505262517 and -12.\nAnswer: 25989505262505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43188*c**3*q**2 + 244*c**3*q - 126370*c*q + 528*q**4 wrt q.\nAnswer: 86376*c**3 + 6336*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 77 + -62 - (-27 + 0 - 1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/49)\/(((-20)\/(-5))\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.266 - 1588.\nAnswer: -1587.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z**2 - 56*z - 5. Determine k(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**5 - 8*j**4 - 108*j**3 - 208*j**2 - 112*j = 0.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggt when three letters picked without replacement from {g: 17, t: 3}.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**5\/60 - 7*n**4\/24 - 7*n**3\/6 - 39*n**2 - 2. Give q(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-5))\/(2\/(-15)). Let z be (-3)\/y + 66\/8. Let b be (1 - 0)*1 + z. Solve -b = -3*h - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -32900?\nAnswer: -32900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 + 2*x + 2. Let n be r(-1). Let y = 138 - 127. Suppose 0 = -2*i - y*i + 221. Solve 0 = -n*m - 16, l - 4*m = -0*l + i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1\/3, 24253623, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -28.5. Let z = b + 27.5. Let f = z + -27.79. What is f rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089 minus -0.15?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -225169\/46 - -4896. Calculate the common denominator of n and 5\/22.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 2. Let l be o(5). Find the second derivative of 2 + 2*a**2 + 2*a**2 + l*a - 2 wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38967797?\nAnswer: 11, 613, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*p**4\/3 - 386*p**3 + 2348*p**2\/3.\nAnswer: -2*p**2*(p - 2)*(4*p + 587)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -38\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p - 22*p - 28*p + p. Suppose 5*r + 3 = 4*k - 13, 0 = 2*k + r + 6. Is c(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -19, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1103) + 18\/(-18). Let f(l) = -1104*l + 1 - m*l + 2207*l. Let t = -9 - -4. Give f(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-189) + (-140)\/(-126)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4343, 34959, 118069, 279923, 546771, 944863, 1500449, 2239779?\nAnswer: 3189103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(5*(-8)\/520)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 0*t + 249 + 131 + 0*t to the form x + l*t and give x.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110110101100101 (base 2) in base 11?\nAnswer: -41729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4262, -1\/8, 3\/5, -0.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 310299 and 0.011.\nAnswer: 310299.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/150 and 59\/950.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, -1, 2, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30441 - 0?\nAnswer: -30441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 222 = -a - a, 0 = -2*a - 4*z + 220. Suppose 3*b = 7*b - 5*v - a, 3*v + 21 = b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 7. Calculate the remainder when 0 - (-398 - (-30 + 10)) - 17 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513 and 192546?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110 (base 2) to base 8.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 6*g**2 - 12*g + 18. Let s = -11240 - -11247. Give v(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**21\/(t**(-7)\/(t**(-4)\/t)) assuming t is positive.\nAnswer: t**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 510950 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 187 = -3*c, 44*k = 5*c + 190 + 81 for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 499 + -481. Suppose 117171 = -m*g + 27*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 2*w - 685. Suppose -3 - w = -5*t. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (2 + (-52 + 4)\/(-8)). Suppose 3*k + k + 24 = 0. Sort q, 4, 0, k in increasing order.\nAnswer: k, q, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18201 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (0 - -5 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*n - 4*w + 3*w, -2*n = -3*w - 19 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 6376021?\nAnswer: 6376022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4652 rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 91250.92 days?\nAnswer: 7884079488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 744 (c) -4\/7 (d) 8 (e) 7 (f) -0.4 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*f**2*r**3 - 77*f**2*r**2*v**3 - f*v - 2*r**3*v**2 - r**3*v wrt v.\nAnswer: -462*f**2*r**2*v - 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2\/4 + 52656*y + 924218112 = 0. What is y?\nAnswer: -35104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*n + 184 = 0, -2*p - 3*p = 4*n - 194. Suppose -3*o + 5*o - 5*r - 40 = 0, 3*r - p = -o. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 93 = -35. Suppose 5*a - w = r, -3*w = -a + 2*w + 32. Suppose -5*j - 55 = -225. Calculate the remainder when j is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, i: 4, c: 1, d: 7, b: 2}. What is prob of picking 1 b, 1 s, 1 d, and 1 i?\nAnswer: 56\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8873*g**4*t**2 + 19*g**2*t + 22*t**2 wrt g.\nAnswer: 212952*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 r, and 1 z when three letters picked without replacement from krrzcgh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 64, 170, 350, 622, 1004?\nAnswer: 1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 4 - 19\/(-1)) + -1. Suppose -14*t = 2*t - l. Let s be (-20)\/(-20) - (5*-2 + t). Solve 2*m + 12 = -2*y, -5*m - s = -6*y + y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/9)\/c**(-3\/2) assuming c is positive.\nAnswer: c**(31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-39 + 39 + 2*g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.02, 5, -4, 4567, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2393521 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -126 - -62?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -239*y - 210. Let a be z(-6). What is the highest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 + s. Let t(q) = -q + 1. Let n be t(-4). Suppose -c - n*f = -3, 2*c + 0*f = -4*f + 12. Calculate the smallest common multiple of c and o(2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -110101202120000021?\nAnswer: -110101202120000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 48927?\nAnswer: 489270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 3:05 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108 - -105) + -16 + -22.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16336 - 8173 - 70*p**2 - 8163.\nAnswer: -70*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 841*p = -2*i - 845*p - 3, 2*p = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22640)\/2264*(261\/(-75))\/(-3)?\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*u + 46*u + 1984 = 53*u for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6514 = 868*w + 21270 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 2 + 6 + (-10 - (-14 + 10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 390*x. Let u(j) = -j**2 + j + 2. Let o(k) = 3*k + 6. Let v(d) = -o(d) + 3*u(d). Determine v(s(l)).\nAnswer: -456300*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1252 - 5003\/4. Determine l, given that 2 + 3*l**4 - g*l**5 - 13\/2*l**2 + 11\/4*l**3 - 3*l = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 30 = -36. Let h(d) = -q - 4 + d - d**2 + 12. What is h(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/6 - (-50)\/(-40)*-4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 14 = -9*v + 7*v, 0 = -5*v + j - 8. Suppose 0 = -3*s - 2*n + 5, -4*n - 4 - 31 = -3*s. Let r = s + -8. Which is greater: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7) - (sqrt(175) - sqrt(7))) + -4*sqrt(57)\/sqrt(3).\nAnswer: -13*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (32 - (-6808)\/(-322)) + 1*-11\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69254636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*l + 10*l - 1225. Let f = -0.5 + 0. Put l, f, -0.2 in descending order.\nAnswer: -0.2, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 441, -80, -1501, -4266, -8819?\nAnswer: -15604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x = -5. Suppose -q - 3*v = -9, -v + 19 = x*q + v. Let u(l) = l**3 + 4*l**2 - 5*l + 2. Calculate the remainder when q is divided by u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706977501 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**4\/24 - 14*g**2 + 47*g. Let b(u) be the first derivative of w(u). Let s(c) = -9*c**2. Give s(b(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 4*g + 5*q = 5, 0 = 11159471*g - 11159469*g + q - 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3 - (1 - 3)). Let p = -44 - -59. Let g be (6\/8)\/(p\/6). Is g less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*b**4\/8 + 15*b**3\/8 - 3*b**2\/8 - 3*b\/8 = 0. Calculate b.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -10881 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = -5*y + 4, -h - y = -3. Let w = -0.5 + 0. Let q = 455.8 + -455.7. Which is the nearest to -1\/2? (a) q (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.020158 - 0.02. What is j rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 51*a**2 - 52*a**2 + 4 - 1 + a**3 - 4. Determine i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9}. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88240160?\nAnswer: 2, 5, 61, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 2*f**3 + 7*f**2 + 328*f - 1. Give g(-10).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1448040 + 242?\nAnswer: 1448282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 53*x = -3*r + 1113 + 414, -102 = -3*r - 3*x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 19*u**2 + 99*u - 81.\nAnswer: (u - 9)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2\/7 - 1011366*x\/7 - 85238432163\/7 = 0. Calculate x.\nAnswer: -168561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2\/7*r**2 + 0 + 0*r = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 330429443 to the nearest integer?\nAnswer: 18178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 5*m + 5. Let f be r(4). Let o = 15 - f. Let i = 55 + -29. What is the remainder when i is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 3\/4)*(215 - 207). Let r be 1 + 0 + -2 + 1. Suppose r = 4*c - 0*c - 28. Solve 0 = 3*n - 3*w, -c*n + 3*n = o*w + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626883 at most 5641958\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/9352 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32884933 is divided by 131.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 37 = 45. Let x be t - ((-95)\/(-16) + -8). Which is bigger: x or -0.08?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = p - 173, 22*p = 18*p - 12. Calculate the remainder when a is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztz when three letters picked without replacement from {z: 2, v: 1, t: 1, u: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11 (b) -4 (c) 1 (d) -0.2 (e) 214\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41783992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1927713*p**4 + 230697*p + 3 wrt p?\nAnswer: 23132556*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 + 3*o. Determine k(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 79962020764 and -0.7.\nAnswer: 79962020763.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2356.7 + -2637. Let z = 280 + n. Which is the nearest to 2\/3? (a) 4 (b) -1.7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 38. Let c be j\/(-48) - 2\/16. Solve c = -2*l - 2*l - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(3\/5))\/u)\/(u*u**2)*u**(-4)\/(u\/u**(-5\/4)) assuming u is positive.\nAnswer: u**(-197\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1508, -4300, -8950, -15452, -23800, -33988, -46010, -59860?\n\"Answer: j**3 - 935*j**2 + 6*j - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10583 plus -0.0650085?\nAnswer: 10582.9349915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689*t = 39314 - 8309 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -256 + 258.86. Let b = l - 2.85539. Round b to four dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205906 divided by -32?\nAnswer: -102953\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1, 0, 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12864 = -3*j, 5*j - 21452 = -b - 0*b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9472)\/15392*(-13)\/(-14)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/56 and (39\/3822)\/((-12)\/182)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272710866344 minus 140?\nAnswer: 272710866204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4431 - -441?\nAnswer: -3440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(1 - 0)*16\/(-16). Let v(r) = 12*r - n - 9*r + 4. Let i(a) = 14*a. Calculate v(i(y)).\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 236\/5 (b) 1 (c) -3\/11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by 146960.\nAnswer: 5\/14696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -70 + 346. Let f = 38 + g. List the prime factors of f.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -28, 0.\nAnswer: -28, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 6*y**2 - 6*y - 1. Let i be p(5). Let j = -2 - i. What is the first derivative of -2 - 3 - j*c + 4*c - 4*c wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 251*s + 70. Let o(t) = 121*t - 10. Determine d(o(l)).\nAnswer: 30371*l - 2440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieue when four letters picked without replacement from ujiijiiieeiiujiujoui.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1160000 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 37 = -5*m + 1283, -3*m + 2*v + 792 = 0. What is the highest common divisor of m and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z - 17. Calculate a(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w - 2. Let v be 1 + (5 - (0 - w)). Suppose -p + v = -19. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5253 divided by 380\nAnswer: -5253\/380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o + o + 4*o - 6*o as u + a*o and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4432, 4425, 4430, 4453, 4500, 4577?\n\"Answer: n**3 - 14*n + 4445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 - -54. Suppose 0 = 3*n + 2*s + 7, 4*n - 4*s = 3*n + 21. Calculate the remainder when y is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, n: 2, z: 2}. What is prob of sequence nnz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*w = -83*w - 98*w - 128 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2. Let n(t) = -29*t + 4. Let j(q) = -29*q + 5. Let l(x) = 4*j(x) - 5*n(x). Let p(g) = 15*g. Let v(i) = -4*l(i) + 7*p(i). Determine v(a(f)).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Solve -p - 1 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = -41*r. What is the nearest to -1 in r, 4\/7, 0.1, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9731 + 51160. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 0.0157.\nAnswer: -0.1099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-12) + 125\/300)*164\/410.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(24)\/sqrt(2)*3 + sqrt(12) - ((sqrt(30) - sqrt(480))*-4)\/((sqrt(70)*-2)\/sqrt(7)).\nAnswer: 1 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 9) to base 15\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0079698 rounded to 4 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 5 - 6)*(0 + c + 0)*(-8 + 35 - 3) to the form g + j*c and give j.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 403, 594, 767, 916, 1035, 1118, 1159?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 3 = -b. Let n = -0.8 + 0.4. Sort n, 5\/3, b.\nAnswer: b, n, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*w + 2 - 2)*(19*w - 12*w**2 - 19*w) + 4 - 4 + 4*w**3)*(3*w + 2*w - 4*w) as m*w**4 + o*w + q*w**2 + n*w**3 + h and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f**2\/8 + 27*f\/8 + 5 = 0. Calculate f.\nAnswer: -1, 40\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from jgagujljjugvjgj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sccs when four letters picked without replacement from {c: 4, s: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + o + 2. Suppose 0 = -3*s - 2*z - 19, 6*z = 4*z - 10. Determine g(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -2*w. Let x(h) = -h**3 + 8*h**2 + 4*h + 8. Let d be x(w). What is the common denominator of -17\/10 and (-6)\/d*(-678)\/(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101010110101110001111 (base 2) in base 14?\nAnswer: -671bd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2 + (-2 + 3 + 0)*(2 + 1 - 2))*(-3*v - 6*v - 9*v) to s + u*v and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*h - 146*h = 0, -5*v + 3*h = -765. Calculate the smallest common multiple of 81 and v.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l - 5. Let a(o) be the third derivative of o**4\/8 - 34*o**2. What is z(a(y))?\nAnswer: 18*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 3039\nAnswer: -3034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -445 - -28. Let g = c - -416.687. Round g to 2 dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, -29, -121, -263, -455, -697, -989?\n\"Answer: -25*m**2 + 33*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -2\/79, 0.3 in decreasing order.\nAnswer: 4, 0.3, 0, -2\/79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4863?\nAnswer: 3, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/39, -9.1, 1\/4 in descending order.\nAnswer: 4, 1\/4, -2\/39, -9.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749*x + 23335 = -11346 + 10713 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (768\/56 + -14)\/(11\/55)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*z + 19 = 5*n, 4*n + 2*z = 26. Calculate the smallest common multiple of n and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*z + 32, -4*v - z - 45 + 10 = 0. Let m = -8 - v. What is the tens digit of m*20 - (-4 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a, 2 + 0 = -3*l - a. What is the remainder when 9 is divided by (10 + (-116)\/10)\/(l\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12131332331 (base 4) to base 11\nAnswer: -a58a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x - 8. Let j be t(5). Suppose -j*l + 13*l - 5 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9446 is divided by 8054.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -2*n, 0 = -l + 4*n. Let v(z) = 216*z**2 + l - 215*z**2 + 2 - 3. Determine v(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 3*sqrt(80))\/(sqrt(70)\/sqrt(28)) + ((2 + sqrt(800)*-1)*2)**2.\nAnswer: -304*sqrt(2) + 3216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 1 = 5*n, 0 = 2*z - 4*n - 5*n + 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1577015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-1234)\/(-308) - 4). Let o = 220 - p. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.187 take away 36?\nAnswer: -4.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -71. Let q = a + -63. What is the biggest value in q, 0, -0.08?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c - 53 = 35 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -105*j + 4. Let k be q(-3). Suppose 4*n + 41 + 1239 = 4*m, -m + k = -2*n. Suppose -5*w + 3*v = -392, 5*w + 5*v = w + m. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:16 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*p**4 + 20*p**4 + 20*p**4 + 21*p**4 - 335 + p**3 with respect to p.\nAnswer: 416*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 17*s**2 + 17*s - 18. Let l be n(-18). Factor -1\/4*a**5 + 1\/4*a**3 + 0 + 0*a + l*a**4 + 0*a**2.\nAnswer: -a**3*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 6*x + 5. Give w(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 1:02 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 572026*d. Let n(q) = -17*q. Give n(b(u)).\nAnswer: -9724442*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w + 21. Let t be x(-14). Let c = t - -47. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -220*j**4 + 268*j - 268*j + j**4 - 3*j**4 + 0*j**4 + (2*j**2 + 2*j**2 - 2*j**2)*(3*j**2 - 4*j**2 + 3*j**2) + j**4 + 3*j**4 - 5*j**4.\nAnswer: -219*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(2016) + sqrt(2016)*2 + sqrt(2016))\/(sqrt(72)\/(sqrt(18)\/sqrt(2))).\nAnswer: 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 - 1.100028. Round g to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q + 7 - q + 25 + q - q**2. Let m be w(10). Suppose -3*k + 40 = -2*d, 0*k + 4*d - 16 = -m*k. Solve -4*x - u - 3*u = k, -x + 27 = -5*u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 28 = -4*w, 3*d = 2*d + w - 3. Find the second derivative of 3*i - d*i + 3*i**5 + 0*i**5 + 0*i wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 5*x = 4*p + 3, 4*p - 22 = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -24*5\/(-45)*66\/(-4). Let p = b - -46. What is the closest to -1 in p, 4, -21?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3201857 divided by -3201857?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 46.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 55*q**4\/24 - 10*q**3 - 60*q**2. List the prime factors of n(5).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*10\/40)\/((-12)\/40)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15584.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 364, 381, 400, 421?\n\"Answer: m**2 + 14*m + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-253)\/231 - (-13 - 93\/(-315)). Determine x so that 4*x**4 - 64\/5*x**2 + 192\/5*x - 48\/5*x**3 - b = 0.\nAnswer: -2, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 1, r: 1, g: 2, y: 2, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2*v - 47, -164*v + 35 = -169*v - 5*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*t**2 - 9*t - 189904 wrt t.\nAnswer: -10*t - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 + 193. Let u be 25\/(-100) + 1863\/12. Let b = u - s. What are the prime factors of b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 665*v - 3320. Let f be j(5). Solve f*y - 7 = 3*d, 226*y + 2*d + 4 = 230*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 5*s**2 - 168*s - 1253. Calculate a(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(0*a + 6*a + 2*a)*(144*a - 66*a - 16*a).\nAnswer: 992*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1284 + -1926. What is the remainder when 2\/(-4) - f\/12 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -727 - -728.109. Round z to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77331869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -58*n + 76. Does 9 divide v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16134855 is divided by 768326.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from {i: 2, s: 1, y: 2, t: 1, x: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - i - 7515897 = 17*h, i - 2505303 = h. Round h to the nearest ten thousand.\nAnswer: -2510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 458\/3 - 144. Let x = v + -9. What is the second smallest value in 0.6, 4, x?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 26374608?\nAnswer: 52749216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rskjksukjkru. Give prob of picking 2 k, 1 r, and 1 u.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -11071 at least as big as -6490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - -2*sqrt(117)*3)\/(sqrt(9)*2*3).\nAnswer: 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iijjj. What is prob of picking 2 i and 2 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -51*n + 58 - 56 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**3 - 394*u + 190*u + 204*u + 0*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/(1\/(-26)). Suppose -5*x = -i + 3. Suppose 0 = -x*s + 29 - 11. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 16*m + 15.\nAnswer: (m - 15)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + 0 + sqrt(228)\/sqrt(48) - (sqrt(152)\/(sqrt(40)\/sqrt(45) + sqrt(8)))**2*4.\nAnswer: -171\/4 + 13*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224960 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/5 (b) 1\/22 (c) -5 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*o = 0, 5*r = -7*o + 2*o - 25. Sort r, 2, 0, -0.4 in ascending order.\nAnswer: r, -0.4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**4 + 3715*p**3 - p**2 - p - 12035?\nAnswer: 36*p**2 + 22290*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:59 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8479.2 + 172457.8. Let i = z + -180936.94000025. Let p = i - 0.06. What is p rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (22\/(-8))\/((-2)\/8) is divided by 5\/10 + 65\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -474 (base 11) to base 3\nAnswer: -202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 17*s - 22. What is x(-20)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2. Let g = 4335 + -4335. Let c(d) be the second derivative of g + 3*d + 0*d**2 + 2\/3*d**3. Determine c(z(q)).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4759, -10973, -18641, -27763, -38339, -50369?\n\"Answer: -727*w**2 - 4033*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2. Let b(r) = 4*r + 5. Let g(p) = p + 1. Let d(j) = b(j) - 5*g(j). What is i(d(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75393.\nAnswer: 3, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 0*p + 2*f, -4*f = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125063808 to the power of 1\/3, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 8*i + 4. Let c be z(8). Suppose c*m = 3 + 45. Suppose 10 = k - 2*n - 7, -m = 4*n. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 1. Let k be -5 - (-2 + -1 + 0). Let t be d(k). Suppose 2*h - 2*j = 64, -t*h + 68 = -h - j. Calculate the greatest common factor of h and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 16 = 4*z + 5*h, -139 + 146 = -3*z - 4*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 6 - 5 - (-4 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-67 + 12 + 0)*(3 - 3 - 1) + (3 + 1 - 3)*(12 - 12 - 12))*(4*k - k**4 - 4*k).\nAnswer: -43*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/7644 and 79\/11466?\nAnswer: 22932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -f + 5*d, 8*f + 3*d = 4*f - 3. Suppose -f*s = -s - 6. Solve -2*t + 4*y + 4 = 0, 2*t - s*y - 2 = -0*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -68 (b) -0.5 (c) -2\/9 (d) 0.08 (e) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -10*x + 6*x + 4*v, 4*v + 12 = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135617, 133825, 130851, 126701, 121381, 114897, 107255, 98461?\nAnswer: 88521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, y: 4}. Give prob of sequence kykk.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 553631, 553599, 553509, 553331, 553035, 552591, 551969, 551139?\n\"Answer: -5*c**3 + c**2 + 553635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 228*k**2 - k - 7. Is v(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64237 is divided by 462?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4 - -2) + 39\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1128*v + 7106. Is f(-6) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177*j**4 + 3*j**3 - 2*j**2 + 377*j + 28840949 with respect to j.\nAnswer: -708*j**3 + 9*j**2 - 4*j + 377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*i - 15 = 0. Let v(o) = 2*o**3 - o - 4 + 3*o**3 - 6*o**2 - 4*o**i - 2*o**3. Let r be v(-6). What is the nearest to -1 in 0.5, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 4) to base 14\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 211*a**3*j**3 - 115*a**3*j**2*n**2 - a**3*j - 47*a**2*j**3*n**2 - 4*a**2*j*n + a*j**2*n - 2*a*n wrt j?\nAnswer: 1266*a**3 - 282*a**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.15 or -261?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.320127584 + 0.3202. Round g to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 4*j**2 - 5*j. Let d be l(5). Suppose 3*v + i - 4 = -d*i, -2*v = 5*i + 19. Let f be (-4)\/(-2)*v\/45. Put f, -4, -1\/4 in descending order.\nAnswer: f, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.5, -90, 0.4, 3\/4 in ascending order.\nAnswer: -90, 0.4, 0.5, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - 2*s**3 - s**3 + (18*s + 3125 - 3125)*(4*s - 4*s + 3*s**2).\nAnswer: 51*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 7 + 5. Suppose -k = d*k - 5. Solve 3*s - 10 = -k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29028, 58059, 87090?\nAnswer: 116121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/((-504)\/488) + 9. Which is the closest to -2? (a) k (b) -0.2 (c) -0.12 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1252*i**4 + 6*i**3 - 321*i**2 + 56452866*i wrt i?\nAnswer: 15024*i**2 + 36*i - 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 32 - 59*w - 63*w + 124*w. Let d be k(-8). Solve 5*l - z = -17, 0*z = -4*l + 2*z - d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.03366166756 + 3.\nAnswer: -27.03366166756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 27. Calculate the remainder when (7 + 116\/(-20))\/((-2)\/(-50)) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2 + 2156*k + 2158 = 0 for k.\nAnswer: -1, 1079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 - 0 - (-19 + (18 - 25 - -38)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14*36\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 1 - 3*u**2 + 3*u**2. Let y(g) = 1. Let j(f) = f**3 - 4*f**2 + 4. Let v be j(4). Suppose d - 5 = -v*d. What is d*z(p) - y(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -57*m**3 - 10*m**2 + 3*m - 7. Let u(c) = 19*c**3 + 3*c**2 - c + 2. Let d(x) = 2*r(x) + 7*u(x). Is d(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -84*s + 12345. Determine f(147).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.3 (c) -317 (d) -0.9 (e) -207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 438*o**2 + 5576*o - 141. What is w(-13)?\nAnswer: 1393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2253 divide 244614969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5027 - 4982. Suppose 13 = 5*o - 62. What is the highest common factor of o and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**4\/4 + 5*m**3\/3 - m**2\/2 - 2*m + 1. What are the prime factors of y(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 + 11*x**4 + 90*x**3 + 194*x**2 + 167*x + 51.\nAnswer: -(x - 17)*(x + 1)**3*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from wkkwebuwwkckk.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41046.\nAnswer: 2, 3, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5007316265 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 1, p: 2, n: 1, g: 2}. What is prob of picking 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168880?\nAnswer: 2, 5, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p - 4 - 3*p + p - 9. Let g be n(5). Suppose -3*b = -3*m - 3, b - g*m - m - 1 = 0. Solve 1 = z - b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5364\/1657549 - -49998190296381\/16575490. Let q = -3020158 + z. Let n = -3769 - q. Calculate the common denominator of n and 43\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*s = -113*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 17. Let v be j(-7). Suppose -v*g - 38 = 55. Let l = g + 61. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -201.8 + 195.8. Suppose 4 = -4*z, 5*j + z + 527 + 749 = 0. Let r be (-1)\/(-5) - (-81)\/j. Which is the nearest to 0? (a) r (b) v (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -251.9 + 252.711. What is c rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/12*((-6147)\/(-1215) + -5).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11339806*j**2 - 53265821*j.\nAnswer: -22679612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2215 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2631 + -675?\nAnswer: 1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 7 + 13*q - 24.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-6)*m)*m)\/m*(m**5\/m)\/m*(m\/(m**(-5)\/m))\/(m\/(m*m**(2\/27)*m*m)))**(7\/10))**11 assuming m is positive.\nAnswer: m**(18788\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.32030586 rounded to 2 decimal places?\nAnswer: -140.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -137713 and -438.\nAnswer: 60318294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7415, 14831, 22247, 29663, 37079?\nAnswer: 44495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2*3\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.3 + 0.7. Let t = 1355.11 + -1356.11. Put -4, -3, n, t in decreasing order.\nAnswer: n, t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d + 2. Let r(m) = 2*m - 1. Let j be r(3). Let g be y(j). Suppose 5*s - 146 = a - g, -4*s - 4*a + 56 = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 4551a?\nAnswer: -45514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*t - 2. What are the prime factors of (-26)\/(-4)*(t + 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*a - 2*a + 30, -3*n - 2*a + 12 = 0. Solve -3*r + 27 = n*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 1941\nAnswer: -194.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/5 + 11\/15. Let j = 11 - 10.4. Let l = -0.58 + j. Are l and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135762840.\nAnswer: 2, 3, 5, 149, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2274 times 0.028?\nAnswer: -63.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43*h + 4*h**3 + 26*h + 11*h**2 + 17*h + 13*h**2.\nAnswer: 4*h**2*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14258934 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 19*g**6\/30 - g**4\/12 - 6*g. Find the third derivative of x(c) wrt c.\nAnswer: 456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 2*z**5\/5 - 7*z**4\/12 + 8*z. Find the third derivative of x(g) wrt g.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3766 or 3763?\nAnswer: 3766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31653*w**3 - 31154*w**3 + 62809*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1236 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k*k**(-22))*k*k*k**(-17) assuming k is positive.\nAnswer: k**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 17206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4964021.53 and 0.0311.\nAnswer: -4964021.4989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 961 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 98. Let v be u(0). Let g = v + 144. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + -1. Let h = k - -7. Let y - 1\/2*y**2 + h = 0. Calculate y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 778888492.52 and -1.5?\nAnswer: 778888494.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 721*h**2 - 168*h + 168*h + 908*h**2 + 539*h**2 + (-h - 5*h + 3*h)*(2*h + 4*h - 5*h) in the form i*h**2 + n + s*h and give i.\nAnswer: 2165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 499263851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 6*j - 55 = 33*a - j, 4 - 20 = 5*a - j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41, 83, 129, 179, 233, 291, 353?\n\"Answer: 2*j**2 + 36*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (5 - -41 - 56).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*h - 60, 5*h + 22 = 5*i - 8. Let s be (i\/(-3))\/(4\/6). Sort s, 4, -1.\nAnswer: s, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 35152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 23*q**3 - 4*q**2 + q + 5. Let h(r) = -r**2 - r + 1. Let i(f) = -5*h(f) + t(f). Find the third derivative of i(a) wrt a.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/7*p - 3\/7*p**2 + 1\/7*p**3 - 1\/7 = 0. What is p?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3930950 and 5800.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**5\/480 + r**3\/48 - 10*r**2. Find d such that t(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - -2)*(-2)\/3. Let a(y) be the third derivative of 3*y**2 + 0*y + 0*y**p - 1\/6*y**3 + 0 - 1\/30*y**5. What is the derivative of a(h) wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3775.00028075 - 3775. What is u rounded to five dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyamm. What is prob of sequence mma?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tll when three letters picked without replacement from {e: 7, t: 1, l: 10}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13285259?\nAnswer: 13, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 - 4*f**2 + 3*f**2)*(f - 4*f + f) + f**3 + 5*f**2 - 5*f**2 + (-5 + 5 + f**2)*(-f + 4 - 4) to p + m*f**3 + o*f**2 + z*f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {m: 1, r: 1, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-12)*k*(k\/(k\/k**(-12)*k)*k)\/k*k assuming k is positive.\nAnswer: k**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48 - 7?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 578478 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 5*i**2 + i - 1. Give n(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1949 = -103*f + 137*f - 79 for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110946 and 28358.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1764*a**3 - 1139*a?\nAnswer: -10584*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1074*a**2 - 700*a**2 + 314*a**2.\nAnswer: -1460*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/5 - 474*l\/5 + 473\/5.\nAnswer: (l - 473)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 6825?\nAnswer: 20475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 6:22 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**3 - 10*p**2 - 15*p = 0. Calculate p.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = 11*a + 101 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17)\/((-136)\/15200) - -6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 43*t - 102 = 78 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 273410 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - -138. Let h = w - 90. Suppose 2*g + 2*r = 48, -2*r = -3*g + r + h. Solve 5*u + 19 = 2*m, u - 5*u - 2*m - g = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t - 30. Let x be m(-6). Let u(a) = 4*a - 2*a + 20*a**2 + 19 - x. Let c be u(-3). Calculate the greatest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -148 + 4*i + 11 + 27 + 42 in the form n*i + x and give x.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-53 - 3)\/(4\/(-126)). Suppose 2*r - 2*h - d = 0, 4*h = 8 + 12. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.96 and 0.02.\nAnswer: 0.0592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.43 - -1.57. Let d = -24 + 27. What is the fourth smallest value in n, d, 0, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(5)*-1)**2 - (sqrt(320) + 0)) + (sqrt(80) - (-1*sqrt(80))**2) + 5.\nAnswer: -70 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 25*m - 159. Calculate q(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 51\/4 of a micrometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86406.\nAnswer: 2, 3, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 7*n + 1. Let l be p(3). Suppose l*q - 3*r - 33 = 0, -q - 4*r + 49 = 4*q. Suppose 4*c + 285 = q*c. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/1753, -4, 1, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 + -40. Let d = -59.1 + m. Let b = 47 + -47.1. What is the nearest to b in 1\/3, -0.17, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17 - (2 - 9\/4) and 59\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -20*o + 317. Let a be d(16). What is the nearest to -6 in a, 4, 15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54339354 plus -1.5?\nAnswer: 54339352.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 51*k**2 + 99*k + 53. Let g be i(-49). Let s(o) be the second derivative of 5\/2*o**3 - 5\/12*o**g + 0 - 6*o + 10*o**2. Factor s(v).\nAnswer: -5*(v - 4)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19995 and 650?\nAnswer: 2599350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10984.6 rounded to the nearest one hundred?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 14. Suppose 6*x = m*x - 45. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 12. Let l be v + (-270)\/93 + 2 + -2. Let u(o) = o**3 - 12*o**2 + o - 11. Let c be u(12). Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50876\/3 + -16958. Factor -1\/3*o**4 + 5\/3*o**3 + 7\/3*o - j - 3*o**2.\nAnswer: -(o - 2)*(o - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -7*d + 6. Let p(n) = 9*n**2 - 5*n + 7. What is the units digit of p(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 330798961?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6970*h - 370. Let p be r(7). What is p rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 192 = -292. Calculate the greatest common divisor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 0 + 33 - (19 - 2) - -60?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 16 = -4*z, -4*u + u - 16 = 4*z. Suppose k + 2*b + 2 = u, b - 4 + 10 = 2*k. Calculate the remainder when 29 is divided by k\/8 - 86\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8387664 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2310 divided by -6?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43.2 and -2.\nAnswer: -86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 221465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/27)\/p)\/(p*p*p**2)*(p\/p**(3\/2))**(-10) assuming p is positive.\nAnswer: p**(2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158*123.\nAnswer: 19434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 7233.\nAnswer: -3616.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 490711*k**5 - 171*k**2 - k + 939 wrt k?\nAnswer: 29442660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 10. Let f = -5 + 3. Let c = 5 + f. What is the remainder when r is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 6 + 1 + 0. Let l(h) = 0*h**2 + 2*h + 11*h**3 + 2 - 12*h**3 - h**n. What is the remainder when l(0) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9102 and 57312?\nAnswer: 86942304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 25*x**3 - 6*x**2 - 3*x + 23. Let l be o(4). Is l + 36\/27*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 167, 298, 429?\n\"Answer: 131*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:09 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 93302126, 93302129, 93302132?\n\"Answer: 3*f + 93302123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtnjlqf. Give prob of sequence lqjt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 + 2. Let w = -6\/371 - 676\/4081. Put a, -4, 2, w in increasing order.\nAnswer: -4, w, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*k**3*m**2*w*x**3 - 2*k**3*w*x + k**3*x**3 - 2*k**2*m**2*w*x**2 + 3*k*m**2*w*x**2 - 2*k*m**2*w*x wrt x?\nAnswer: 426*k**3*m**2*w + 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 3)*((2*o + 0 + 0)*(4 + 1 - 2) + 4 - 5*o - 4) as b*o + a and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*u = -11, -2*l - 349 = -7*u - 380 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6617174094 to the power of 1\/4, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*x + 311 + 254 - 37 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (278 + 284 - 583)*(-s + s + 2*s)*(2 - 19*s + 3 + 17*s) as y*s**2 + o + k*s and give y.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6695216 litres?\nAnswer: 669.5216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.81 and -3.90662791.\nAnswer: -4.71662791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + y - 5*z - 8, -5*y = 5*z - 10. Let r(p) = p**2 - 2. Let n be r(y). Suppose -x - n = -2*x. What is the least common multiple of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110210212200110 (base 3) in base 2?\nAnswer: 11001111110000101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 267.3 - 267. Sort j, -1, -29, -1\/6 in decreasing order.\nAnswer: j, -1\/6, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174253, 174226, 174173, 174088, 173965, 173798, 173581?\nAnswer: 173308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*i = 40 - 0, -2*i - 26 = 4*y. Let a be (60\/8)\/((-2)\/y). Suppose -6*w + 11*w - 15 = 0. What is the greatest common factor of w and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510\/2720 - (-939927)\/48 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + -5.02. Let r = -2 - j. Let o = -1 - r. What is the nearest to 1 in -1, o, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*x + 61*x + x**2 + 51*x + 59*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.3, -385\/8, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 23*u**2 - 2*u - 1. Suppose 0 = -5*m + 2*o + 160, -70 + 6 = -2*m + 2*o. What is the remainder when k(-2) is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2125 (base 6) in base 14?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 - 4088*g\/3 + 4177936\/3.\nAnswer: (g - 2044)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50117 is divided by 884.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-3))\/h)**(-4\/13)*h**(-2)\/(h\/(h*h**4)) assuming h is positive.\nAnswer: h**(34\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 + -3.3. What is the closest to 0.1 in c, 0.07, -0.1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-99)*(-2)\/(-1)*3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:36 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 75661?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 482740087 to the nearest integer?\nAnswer: 21971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 12:08 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = -3*h + 6, s = 3. Is 1689*(-4)\/12*h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + c - 15 = 0, 69*s + 4*c - 4 = 27*s + 44*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 25*r + 13. Let l be v(-15). Which is smaller: l or -61?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1117 - (-4)\/(-1 + 5). Is 20 a factor of 6\/42 + h\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10023?\nAnswer: 3, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8435 + -5983. What is l rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/(214\/4280)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 239.18 + -238.18. Which is the nearest to s? (a) -3 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 16*p**2 - 6*p. Let f be s(7). Let z = f - 242. Round z to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 159\/(1*(-3)\/4). Let j = d - -498. Suppose -3*l - 58 + j = 0. Calculate the highest common factor of 38 and l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5 = -1. What is the greatest common divisor of i and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -0.3 (c) -1\/2 (d) 2695\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49345?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7294, -7117, -6926, -6721, -6502, -6269, -6022?\n\"Answer: 7*k**2 + 156*k - 7457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3430455 (base 8) to base 14\nAnswer: -1a2d53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 905 divided by 5?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 51. Let n(r) = 3*r + 21. Let j be n(o). Which is bigger: 1\/12 or j?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4762 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o = 30*o - 6. Does -2\/17 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18343?\nAnswer: 13, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3281*p**3 - 6*p**2 + 6*p - 5. Let a(w) = w**3 - 3*w**2 + w + 2. Let y be a(3). Let m be z(y). What is m rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hthhtjnnhtthh. Give prob of sequence htj.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -76*z**2 + 13*z - 3. Let i(o) = -226*o**2 + 35*o - 9. What is 11*h(v) - 4*i(v)?\nAnswer: 68*v**2 + 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -148 - 13532*(-246)\/23001?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 3:46 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 8 + 7. Suppose -s = -2*n - 0*b - b, n - 3*b = 13. Let l be -81 - -81 - (2\/2 + -1). Solve -n*p + 2*p = l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -400*g + 406*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 3 - 2)*(-27*r + r - r)*(2 + 1 - 1) to s + t*r and give t.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + 4 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49812 is divided by 24120?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khqdhddkkkdhqqdjjdko. Give prob of sequence od.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16877355 to the nearest integer?\nAnswer: 4108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 29*y + 3077 + 2971 = -51*y for y.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 959939.5 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2462 = -26*s + 8624. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 24. Let u(s) = -s**2 + 2*s - 4*s + 9*s - x + 19. Determine u(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -26*d**3 - 4*d**2 + 25836*d + 25842. Determine j(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2202 + 26443\/12. Suppose 0 = 3*i - 10*i - 336. Find the common denominator of 191\/12 - i\/(-12) and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/21)\/(8\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -12*f - 1. Let z be a(-1). Suppose -3*o = -5*x - 40, 20*o - 22*o - 3*x = 5. Solve -3*h = -o*d - 23, h + z = -4*d - 4*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 841)*(-2 - 78\/(-21)). Round y to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5 = -5*j, -4*j = -4*h + 3*h - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42835 divided by 8567?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 2 - 4*b + 0*b**2 + 1\/3*b**3. Is 3 a factor of y(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -106, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w. Let k = -26 - -18. Let l(g) = g**3 + 8*g**2 - 4*g - 8. Let c be l(k). Let f(j) = c*j**2 + 1 - 1 - 26*j**2. Calculate f(p(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*n - 1, 0 = -2*f - 0*f + 2*n. Suppose -5 = -h + f. Solve 0 = h*p - 2*p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45.2 - 45. Suppose -2*r - 1 + 3 = 0. What is the smallest value in r, 9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 22*q**2 - 39*q + 6. Determine k(20).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 1:42 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s - 5 + 7*s**2 + 4*s**3 - 3*s**3 - 2*s**3. Let j = -15 - -21. Give q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.48*0.4.\nAnswer: -4.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 137 = -3*g - 3*v, 4*v + 20 = 0. Let f(k) = k**3 + 3*k**2 - 2*k**3 - g*k + 74*k + 3. Determine f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -30. Let w = d + -23. Sort w, -1, -4 in descending order.\nAnswer: -1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000602 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 158e9 (base 15) to base 11\nAnswer: 4825a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-21172))\/(2324\/(-212) + 11). Let d = u - 1\/158. Is d equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1351*u + 2*u**4 + 2*u**2 + 3*u**3 + 1342*u - 2 + 0*u**4 to the form j*u**3 + k*u**2 + h*u**4 + s + z*u and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1097418\/(-477))\/493)\/((-28)\/246)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlk when three letters picked without replacement from zkzkzzzkkzlkzzk?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -309 + 326.3. Let c = 7 - 24. Let h = y + c. What is the smallest value in h, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41714046?\nAnswer: 2, 3, 11, 457, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/5 - ((-15)\/3 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769339?\nAnswer: 769339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 92. Let p = 110 - 168. Let d = p - m. Solve s - 1 = -d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 148.2 - 135. Let c = m - 13. Let f = 6 + -5. Put f, c, 0.1 in ascending order.\nAnswer: 0.1, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 30*q = -57 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k - 2. Let u(z) = 5*z - 3. Let l(b) = 4*s(b) - 3*u(b). Let x(n) = -3*n**3 + 2*n**2 - 8*n - 9. Let o(c) = 18*l(c) + 2*x(c). What is y in o(y) = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.9, 40\/31, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(5\/14)*w**30 assuming w is positive.\nAnswer: w**(425\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2 = -5*v + 7*r, 4*v - 12 = 5*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 72\/(-21) - 0. Let x = 2 + -4. Which is the second smallest value? (a) r (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w. Let u = 2 - w. Let b(g) be the second derivative of -g**5\/10 + g**4\/4 - 2*g**3\/3 + 3*g**2\/2 + 5*g. What is b(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2*210\/(-63). Suppose -q*m + 0*m = -x + 40, 3*x - 3*m = 96. Calculate the greatest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**2 + 2*c**2 + 8*c**2)*(-47*c - 31*c + 17*c) + c**2 + 2*c**3 - c**2.\nAnswer: -1035*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h = -24*h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - ((-20)\/((-120)\/114) + -14)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 3*d**2 + 3*d**2)*(169*d**2 + 35*d**2 + 24*d - 23*d).\nAnswer: 408*d**4 + 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1\/((-12)\/268))*3. Suppose -4*c = -2*v + 5*v - 283, -c + 4*v + 47 = 0. Let q = l + c. What is the third biggest value in q, 19, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8611344810 rounded to the nearest one million?\nAnswer: -8611000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 10:58 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*s**2 - 349 + 349.\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = m + x, 2*m + 7*x + 4 = 2*x. Let t(c) = 6*c - 9. Let a be t(4). Let v = -16 + a. Put 4, m, v in descending order.\nAnswer: 4, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000597457966 rounded to six dps?\nAnswer: -0.000597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1531 - -1556. Does 25 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -24, -38, -52?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34130 (base 5) to base 4.\nAnswer: -211233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 7*p + 10. Let y be u(-8). Differentiate 6 - 9*o + 2*o + y*o with respect to o.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22889*a**3 - 8*a + 186767*a**3 + 4*a + 4*a.\nAnswer: 163878*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*t - 66 = 0, -4*p + 2*t = -13 - 39. Let g(i) = i**3 - 14*i**2 + 2*i - 19. Let a be g(p). What is the highest common divisor of a and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*z = -1 + 7, -3*z = -3*q + 6. Let j = 8 + q. 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: Let h = 221 + -212. Let s(m) = 4*m - m - 3*m**2 + 2*m**2 + h + 13*m**2 + 6*m. Let z(l) = 3*l**2 + 2*l + 2. Determine -2*s(o) + 9*z(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j = -81. Find the second derivative of -2 + 2 + j*q - 30*q + 6*q**3 wrt q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + b - 4. Let m be z(-3). What is the units digit of -24*((-8)\/(-6) - m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 799518?\nAnswer: 799517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*y + 8, i + 4*y = 6. Let r(k) = -k**2 - 2*k + 2. Let w(u) = u**2 + u - 1. Let x(f) = i*r(f) - 3*w(f). Calculate x(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c - 9. What is b(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 take away 129137?\nAnswer: -129137.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -18.55. Let w = -0.25 - h. Let x = w + -2.3. What is the fourth smallest value in -1, 3, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5 - 22175*d**4 - 88915*d**3 + 599455*d**2 - 843490*d + 355120 = 0. What is d?\nAnswer: -8, 1, 2, 4439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (2 + -9))*2. List the prime factors of -8*(-9)\/z*1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 121 - 97. Solve -l + c = -0*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 19 + 18 + 8*b - 18*b - 5*b**3.\nAnswer: -5*b**3 - 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5338?\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4711*c**3*n + 2*c**3 + 13*c - 49 wrt n.\nAnswer: -4711*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42579214*u**3 + 2466*u**2 - 166495 wrt u.\nAnswer: -255475284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192689833 to the nearest integer?\nAnswer: 13881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - g = 5 - 0, 4*g + 20 = -o. Let n be 2\/(-2)*o\/(-3). Suppose -j + n*j + 8 = 0. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5375736 by -1.\nAnswer: -5375736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**26\/(x**15\/x) assuming x is positive.\nAnswer: x**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:27 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3309, -6205, -8711, -10845, -12625, -14069, -15195?\nAnswer: -16021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 435 + -772. Let o = -336.9577 - m. Round o to 3 decimal places.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0, 4026\/37, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 3\/20, 6, -0.2, 0.1 in descending order.\nAnswer: 6, 3\/20, 0.1, -0.2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 938 and 1146102?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -9900*a**2 - 121*a + 2761. Let t(n) = -165*n**2 - 2*n + 46. Let o(g) = -2*h(g) + 121*t(g). Let l(m) = 11*m**2 - 3. Determine -44*l(d) - 3*o(d).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1553\/2?\nAnswer: 1553\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 38*x**2 - 43*x + 55. Let u be a(20). Is u at least -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 44 and 15952462.91765.\nAnswer: 15952506.91765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4081478 hours?\nAnswer: 24.488868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1406, 2658, 3904, 5144, 6378, 7606, 8828?\n\"Answer: -3*d**2 + 1261*d + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1152840 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w - 14. Let v be y(7). Suppose 5*q - 7 + 1 = -3*l, 0 = q + l. Let z(a) = a + 1. Let h be z(q). Put -4, v, h in decreasing order.\nAnswer: h, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36930?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((2 + 1 + 17 - 14 - -2) + 31)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxcxt. What is prob of sequence wtx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((82\/8)\/(6\/16))\/((-128)\/(-65472))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*u + 117. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 12. Let f = 3 - -1. What is the third smallest value in y, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6585 and -83\/21950?\nAnswer: 65850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10255 and 13173573.\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.019 in -5, 1\/27, -99, 2, 4?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from lttttlulttbltblttl.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -1144204131340?\nAnswer: -1144204131334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0362 to 3 dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l = 62321 - 62117 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-2\/3)*g*g*g)\/(g*(g\/(g**(1\/9)*g))\/g)*(g\/(g\/g**(-13)))\/g*g*g**(-5\/3)\/g*g)**(-7\/4) assuming g is positive.\nAnswer: g**(161\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -23*w**2 - 9*w + 4. Let l(j) = -11*j**2 - 5*j + 1. Let r(s) = 6*k(s) - 13*l(s). Suppose -c = 2*c + 21. Is r(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3270345 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 34\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 1a2?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1069\/(-30))\/(-11 - -13). Let a = q - -12767\/780. Calculate the common denominator of 17\/30 and a.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/16*(-37 - (-31 + -2)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 0, 35, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -41856?\nAnswer: 41858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-8)\/6)\/(8\/(-54)))\/3. Suppose 2*o - 200 = -4*i, 4*o - 417 = -k*i - 37. What is the remainder when 173 is divided by o?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/5 - 3\/10. Let m = 5.4 - 5. Let t = m - 0.6. Which is greater: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20931 is divided by 1317?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - h**2 + 1. Let l be z(-1). Find the second derivative of 8*i + 2*i**2 + 14*i**2 - 2*i**l - 2*i**2 wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 12819640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -167*x**4\/4 - 28*x**3\/3 - x**2 - 57. Find the third derivative of r(f) wrt f.\nAnswer: -1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-446)\/(1*(-8)\/128)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1, 0.1, -2\/7, 313.046, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 minus -51.31?\nAnswer: 18.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13350*n**4 + 23040.\nAnswer: 53400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:54 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 162 = 54. Suppose -14*y + 20*y = -f. Let k be 0*2\/y*14\/(-21). Solve -3*v = -12 - k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -785 - -782. Which is bigger: -14 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4)*(88\/(-21) + 4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.33928376 to two dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(((-136)\/60)\/17). Solve 9*w - 12*w = -s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 5)*(4*a - 4*a + 2*a) + 2*a - 4*a + 0*a + 2 - a - 2 - 1 + 1 + 3*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 139964.8075 and 71271.\nAnswer: 211235.8075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/4 - 987*s\/4 + 2022.\nAnswer: -3*(s - 8)*(s + 337)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 4*s**2 - 14*s**2)*(0*s**2 + 2*s**2 - 3*s**2 + (2 - 2 + 2*s)*(1 - 1 - s)) + 2*s**4 + 3*s**4 - 2*s**4.\nAnswer: 42*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11)\/((-220)\/16))\/(-5 + 189\/35). Solve 20 = d + d - x*g, 0 = 5*d - 4*g - 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1803 (base 11) to base 12\nAnswer: -13ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 310*a**2*b*q**3 - 9*a*b*q**2 + a*q**3 - 18*q wrt a.\nAnswer: 620*b*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*v - 5*v + 54 = 0, 0 = 2*c - 5*v - 55. Suppose 5*f + 12*f = 3026. What is the remainder when f is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8479.9 * -0.8.\nAnswer: 6783.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 2*i + 1. Let o(u) = -2*u**3 + 4*u**2 + 4*u - 37. Give -o(f) + 2*z(f).\nAnswer: 2*f**3 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 222, 1947, 6698, 15969, 31254, 54047?\n\"Answer: 249*l**3 + 19*l**2 - 75*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/6)\/(48\/512*40))\/(-4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 395, 483, 617, 797, 1023, 1295?\n\"Answer: 23*o**2 + 19*o + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*f**3*s**3*x - 2*f**3*x**3 + 5*f**2*s**3*x**3 + 3*f*s*x**3 + 4*s*x wrt s.\nAnswer: 96*f**3*s*x + 30*f**2*s*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 494134020*h**6 - 3*h**2 - 22140*h - 44?\nAnswer: 59296082400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 3. Suppose 5*a = 3*t + 3, 2*t + 14 = 2*a + 4*t. Determine r(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.7? (a) -2\/11 (b) 1 (c) 195 (d) 2\/5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u + 2 = -82 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (372\/24 - 13)\/((-155)\/(-3596))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjitijjjigitgjjjg. What is prob of sequence ig?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 0*l**2 + 11*l - 1\/20*l**5 + 0 + 1\/6*l**4 + 1\/6*l**3. Suppose -46*j + 20 = -36*j. What is d(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8474, -32769, -72888, -128831?\n\"Answer: -7912*b**2 - 559*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/80 and 23506\/2340 - (186 - 176).\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4047 is divided by 3120.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 15 + 9 + 12*n**2 - 8*n**2 + 4 - n. Determine f(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -13\/7 (b) -4\/7 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -100\/3. Suppose 0 = -3*r + 5*k + 121, 0*r = -5*r - 3*k + 213. Let d = 42 - r. Which is the closest to d? (a) i (b) 0.3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jedjohd. Give prob of picking 1 h and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*n - 83*n - 34*n + 4275 = 0 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44622 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 41422.5 and 18.748?\nAnswer: 41403.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (1 - 7) - (5 - (-5 - -48)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**2 + 209*g**2 + 432*g**2 - 3091*g wrt g.\nAnswer: 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 0. Let q = 0.26 + 0.04. Which is the third smallest value? (a) q (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (0 + sqrt(15)\/sqrt(3))**2 + ((sqrt(5) + -1 + -3)*-1)**2).\nAnswer: -46 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 18. What is the smallest common multiple of 4 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 28*d**3 - 4*d - 4. Let q be v(-2). Let o = -154 - q. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(88) - 1*sqrt(88)*-3)\/(sqrt(648) - 5*sqrt(648)*-3))**2.\nAnswer: 11\/20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 18628099 = -5124475. Suppose s = 5*x - 7198792. Round x to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*y**2 + 18 - 10 - 3 + 2*y - 5 as q*y**2 + g*y + l and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**4 - 15*g**3 + 10*g**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 399 + -363. Calculate the smallest common multiple of v and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2127, 4253, 6379?\nAnswer: 8505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 10*s**2 - 8*s - 9. Let d be n(9). Sort d, 4, -1 in increasing order.\nAnswer: -1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/21*12\/2 and 44\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4221, 7888, 11607, 15402, 19297, 23316, 27483, 31822?\nAnswer: 36357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-4 - (-69 + 1))) + (-84 - -90)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 + k**2 + 4*k + 4. Let m be l(-2). Suppose -5*w**2 + w - 8 + m*w**4 + 36*w**3 + 2*w**2 - 37*w - 5*w**2 = 0. What is w?\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -8. Let i = o - -8.76. Let r = 0.04 + i. Which is the closest to 0? (a) r (b) 4\/7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10725, 42907, 96545, 171639, 268189, 386195?\nAnswer: 525657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 80, 78, 76, 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*p - 1)*(5*p**2 + 10*p**2 - 4*p**2).\nAnswer: 33*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by 822?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354849596?\nAnswer: 2, 88712399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-2340)\/(-8)) - (-26 + 133371\/(-2835))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/81)\/((-2)\/(-72))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -752 = 3*c - 7*c. Suppose 0 = 4*o - 2*o - c. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + y - 2760. Suppose 3*i = f + 415, -4*i = -2*f - 0*f - y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 6:46 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 13. Let i be 3\/(8\/(-12) + 26\/12). What is the tens digit of k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93922 and 1208.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6407930 divided by 13?\nAnswer: 6407930\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - 6*(sqrt(187) - sqrt(187)*-1))\/sqrt(11)*3*6.\nAnswer: -198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/18 + (-4)\/(-18). Suppose 2*v + 22 = y, i*y - 11 - 28 = 3*v. What is the units digit of (-5 - 1)*(-18)\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 34 + 11 + 3 - 11. What is d(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8835921\/11 + -803241. Determine a so that -184\/11*a + o*a**3 - 1458\/11*a**5 + 556\/11*a**2 + 16\/11 - 1944\/11*a**4 = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 3:38 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5929 is divided by 193?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 6. Calculate k(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003345971 to 7 dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 2\/5*u**5 + 2\/15*u**6 + 2\/105*u**7 + u**2 + 0*u + 2\/3*u**3 + 2\/3*u**4 + 0. Find r such that t(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/1013 (b) -5 (c) 0 (d) 19 (e) -1 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.19 - -26.06. What is y rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177924.12 take away -1.5?\nAnswer: -177922.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 10. Let l be (-4)\/g*(-63)\/(-14). Solve h - l = -8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q - 3400*q**2 - 19*q + 10*q + 203 - 203 as z + s*q**2 + m*q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 0. Let b = -1 - r. Suppose -h - 137997 = b*i, -2*i - 68997 = -i + h. Round i to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(3*sqrt(4)) + sqrt(1872)*-2 - 4*((sqrt(39) + sqrt(351)*-1)\/sqrt(3))**2)*5.\nAnswer: -1040 - 355*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/9 + 8285*b**3\/9 + 7625882*b**2\/3 + 21047428796*b\/9 - 21070314728\/9 = 0.\nAnswer: -2762, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z + 16. Let p be 5 - (4\/4 + 0). Let w be y(p). Let k = w + 24. Solve l = x + k*x + 13, 0 = 2*x + 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 156888960 and 257672.\nAnswer: 157146632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33641 is divided by 33635.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/2 + (-3 - 1). Let z = -5 - l. Let q = 2.03 + -0.03. What is the smallest value in z, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 - -100 - (7 - 3 - (3 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1840*p - 1802. Let i(m) = 1840*m - 1815. Let a(f) = -9*b(f) + 12*i(f). Differentiate a(v) wrt v.\nAnswer: 5520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2898 and 8064.\nAnswer: 185472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 take away -0.0466275?\nAnswer: -38.9533725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -628, -1, -2, 28 in decreasing order.\nAnswer: 28, -1, -2, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -140 - (-45 + 39) - -89\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/559 - 137\/2236. Let j = 645\/364 + x. Solve 4\/7*i - 4\/7*i**3 - j*i**4 + 0 + 12\/7*i**2 = 0 for i.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07977494 < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 10, -4*p + 0*p = -5*n + 10. Suppose p = 2*d - 2*y - 74, 5*y - 10 + 3 = -d. Let f = -3 - -14. Calculate the remainder when d is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 4 + 0)*(2 + 1 - 2) - 7 + 3 + 1)*(s + 5*s - 11*s)*((1 - 1 + 2*s)*(2 + 1 - 5) - 4 - 3*s + 4) to the form a*s + c + u*s**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 21*i + 47. Give u(22).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/18 - 68\/(-153)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 - 16*i - 13. Let b(r) = -26*r**2 - 21*r - 7. Let z(n) = -11*n**2 - 10*n - 4. Let c(x) = 2*b(x) - 5*z(x). Determine -4*a(u) - 9*c(u).\nAnswer: u**2 - 8*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {d: 2, w: 2, z: 9, t: 3, y: 1, i: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 7737*p**3 + 184536*p**2 - 1473216*p + 3924480.\nAnswer: 3*(p - 2555)*(p - 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262472.\nAnswer: 2, 7, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/9 and 161\/2706?\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22, -49, -76, -103, -130, -157?\n\"Answer: -27*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 68 + 192455*l**3 + 2*l**2 + 96.\nAnswer: 192455*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*g - 4*i, 2*g = -g - 5*i + 31. Suppose 2 = -g*d - 2*d - 3*b, 3*d + 7 = -5*b. Calculate the greatest common factor of d and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46228 + 47060. Calculate the highest common divisor of w and 702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/5)\/(2\/272). Let o = q - -941. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 93. Let z be c(0). Suppose -4*g - z = -445. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/((a*a\/(a**(2\/11)\/a))\/a))\/a*a)**(-15)\/((a*a\/a**5)\/(a*a\/(a*a\/a**(-4)*a)*a*a)) assuming a is positive.\nAnswer: a**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 967662 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**4\/24 + 11*h**3\/3 - 9*h**2. Let b be w(17). Suppose j - b*j = -20. Sort 1, j, 2, -8.\nAnswer: -8, 1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42720756?\nAnswer: 2, 3, 13, 53, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 211*g**6\/30 - g**3\/6 - 37*g**2 - 413*g. What is the second derivative of o(j) wrt j?\nAnswer: 2532*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 260*w + 350 - 1546*w - 88 - 87 - 84.\nAnswer: -1286*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(126) - (-6*sqrt(126)*-1 + sqrt(126))) + sqrt(126))\/sqrt(3)*-5)\/(-3*sqrt(96) - 2*sqrt(12)\/sqrt(2))*-2.\nAnswer: -5 + 25*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2190783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.63 - -728.37. Let t = f + -295. Let b = t - 460.15. Round b to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*-2*2\/(-12). Let x be (-24)\/10 + (4 - 2). Let j be (-1)\/(17\/(119\/49) - 4). What is the nearest to u in x, -0.2, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/13, 33820, 1, 0.5, 2\/175?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53135657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, 207, 230?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 167*g**3 - 180?\nAnswer: 501*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.87 + 2.83. Let p = 3.6 - t. What is the biggest value in -1, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/9 in -46, -2, -119, 5, 15.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 12*u + 2. Let g(h) = 1. Let f(v) = 6*v - 1. Let d(y) = f(y) + 2*g(y). What is 4*a(p) - 9*d(p)?\nAnswer: -6*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -1\/4*m**4 - 2*m**2 + 35*m - 5\/6*m**3 + 0. Let d(c) = -7*c**2 - 11*c - 9. What is 2*d(p) - 5*o(p)?\nAnswer: p**2 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is -1*(30\/12)\/(50\/20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 17, 34, 67, 122, 205, 322?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -g - 9, -d = g + 19 - 4. Let k = -4 - g. What is the highest common divisor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1190 and 1750.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4094 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: Let s = 272 - 272. Let h(n) = -2*n + n**2 + 0*n + 3*n + 4 - n**3 + s*n. Suppose 4*x - 4*r = 24, 3*x - 24 = r + 4*r. Give h(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174182 is divided by 21771?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*(-13 + 16\/64*52). Factor w*d**2 + 4\/13*d**3 + 0*d - 6\/13*d**4 + 0.\nAnswer: -2*d**3*(3*d - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13049\/44 - 3265\/11. Let i be (-1)\/(-2) + 7\/(-10). Which is the second smallest value? (a) 0.038 (b) 2\/7 (c) i (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 5, 24, 2\/5, -5\/4 in decreasing order.\nAnswer: 24, 5, 2\/5, -2\/19, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137.99 + -138.39. Sort 4, -0.199, n, -5 in increasing order.\nAnswer: -5, n, -0.199, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6, -22, -38, -54, -70, -86?\n\"Answer: -16*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**3\/6 - 149*x**2 + 44402*x - 3088. Solve d(c) = 0.\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o**2. Let q(r) = -4*r + 67. Calculate l(q(f)).\nAnswer: 208*f**2 - 6968*f + 58357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/474 and 85\/1827?\nAnswer: 288666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + 5. Suppose 0 = -h - h + 4. Suppose -3*r + h*u + 33 = -u, -2*r + 37 = -5*u. Calculate the highest common factor of r and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 - 48*t + 25. Let s be f(15). Suppose 200*m - s*m = -3945. What are the prime factors of m?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 45 = -3*d, 0 = 4*d + 14 - 34. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 228, 343, 458, 573, 688?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/2 - 39*m - 1521\/2 = 0. Calculate m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (455\/(-2730))\/(((-20)\/(-4))\/110).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3895485\/362 + -10761. Put s, -0.2, -4 in descending order.\nAnswer: s, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114516*z - 103805*z - 70822*z - 707491*z.\nAnswer: -767602*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565525.\nAnswer: 5, 22621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6103867 to the power of 1\/2, to the nearest integer?\nAnswer: 2471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880776.\nAnswer: 2, 3, 13, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h**2 + 0*h**2 - h**2)*(-h**2 + 0*h**2 + 2 + 3*h**2) - 219*h**4 - 108*h**4 - 275*h**4)*(-h - 2*h + 4*h).\nAnswer: -606*h**5 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/61623 and -11\/7515?\nAnswer: 308115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 228\/(-20) + (-2)\/(-5). Let a = d - -15. What is the second derivative of -2*t**4 + 2*t**a - t**4 - t wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -3*s**5\/20 - 5*s**4\/6 - 5*s. Find the third derivative of m(u) wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 5}. Give prob of sequence qcc.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5315 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 291 = -5*r + 251, 2*p - 19 = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 191114 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6325.713cm?\nAnswer: 63.25713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132 - 94. Suppose 92 = l - 4*k - a, 0 = -2*l + 5*k + 272. Suppose 5*v = -l + 606. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1. Let c(z) = z**2 - 6. Let b(w) = c(w) + 6*y(w). Let s(f) be the third derivative of -1\/24*f**4 + 0 + 0*f**3 - f**2 + 0*f. Calculate b(s(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1566 + 4908 + 2023 = 185*x for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7877284 = 3*t + 206*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2964 * 0.03\nAnswer: 0.008892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**6\/120 - c**5\/12 + 5*c**4\/24 + 8*c**2. Give w(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*j - 29 = 229*j + 4*u, 5*j + u = -23 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r)\/r)**(1\/48)*r**(-1)\/(r**(-3\/4)*r) assuming r is positive.\nAnswer: r**(-61\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -127.06. Let u = g - -2.4. Let d = 3.16 + u. What is d rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300 + 300.01. Let w = 7 + -4. Let q = -3.1 + w. Is q >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -49*i**3\/15 + 14*i**2\/5 - 4*i\/5 - 93. Factor a(y).\nAnswer: -(7*y - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, -3, 5, -19 in decreasing order.\nAnswer: 5, 2, -3, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 102\/(-1350)*18*-50\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1220883?\nAnswer: -1\/406961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 56 = -y. Let n be (-102)\/(1 - (2 + 1)). Suppose -z - 3*i + n = -8*i, -203 = -5*z - i. Calculate the remainder when z is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 7*p**6\/240 + p**5\/16 - p**4\/8 + p**3\/3 - 5*p**2. Let j(t) be the first derivative of a(t). Factor j(n).\nAnswer: 3*(n + 1)*(7*n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 5*l**2 - l. Let j be o(-5). Calculate the remainder when 50 is divided by (-16)\/(-40) - (-83)\/j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + (-10)\/22 + (-324)\/594. Solve 0 = 26*x - c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3074 * 5\nAnswer: -15370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 13. Let o be (-4)\/h*3\/6. Let j(d) = 2*d**2 - 2*d + 3. What is j(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*c + 7, -5*h + c - 6*c = -30. Let b be (1 + -3 + h)\/1. Solve -3*i + b = -3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7227, -9510, -11793, -14076?\n\"Answer: -2283*u - 4944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 7*t - 2. Let k be o(-4). Let p be 1428\/108 + k\/(-9). Find the second derivative of 14*g - 3*g**2 - p*g + 3*g**2 + 3*g**3 wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1249 - 1248.9. What is the nearest to -1\/4 in 3, -1, 31, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*m + 2*m = 316, 0 = 4*m + 8. Let d = 0 - k. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*p + 4*k, 1158*p - 1161*p + 8 = k. Let l be ((-1)\/(-4))\/(7\/4). Which is the biggest value? (a) 3 (b) 0.5 (c) p (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1963*s - 72 = 1955*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 296614 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4014, -4035, -4058, -4083?\n\"Answer: -z**2 - 18*z - 3995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10952*b = -10930*b - 132 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44\/425? (a) -3\/7 (b) -3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - x + 6. Suppose 13*r - 14*r + 2 = 0. Let d be n(r). Solve 0 = -4*o - d*o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 2 - 2 + (3*q - 13 + 13)*(-3*q**2 + 4*q**2 + 0*q**2)*(0*q - q + 4*q).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*2784\/17400.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(1300)*3.\nAnswer: 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w + 5*w + w + 2*w. Let h(b) = 2*b**2 - 4*b**2 + 4*b**2 - b**2. What is h(u(d))?\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + r + 28 = 0, 4*r + 6 + 22 = t. Suppose -5*s - 18*c + 20*c = -7, 3*c = -2*s + 18. Solve t = s*v + v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**6\/120 - d**5\/12 + d**4\/8 - d**3 + 6*d**2 + 8. Calculate n(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 213025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/638)\/((-24)\/(-3168)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q - 6. Let f be (0*q\/4)\/2. Let h(m) = 4*m**2 - 76*m + 78. Let y be h(18). Solve o - y*o - 25 = f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3518 is divided by 1701?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 11*z**2 - 3*z - 2. Let c(n) = -18*n**2 + 22*n**2 - 2 + 1 - n. Suppose -2*v + 3*v = -8. Give v*c(i) + 3*b(i).\nAnswer: i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*s**4 + s**4 - 3*s - s**3 + 0 + 2*s**3 as u*s**4 + k + o*s + f*s**3 + w*s**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 33508608 divided by -30912\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -3, 1\/4, -7\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19296491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1017 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-15 - 5 - -8 - (0 - 4)) - -52\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 230*l - 243. What is t(-78)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46400 and 1180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x + 10. Let m(f) = 8*f - 12. Let k(b) = -6*m(b) - 7*n(b). What is k(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421534 (base 6) to base 3.\nAnswer: -1201210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 - 96 - (24 - -2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 12 + 345*m + 343*m - 678*m. Suppose -4*l + 20 = l. Does 26 divide f(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1378 + 1478 + 306*b - 876 + 148*b + 191*b - 5*b**2.\nAnswer: -5*(b - 132)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 448 divided by -64\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1456050.\nAnswer: 2, 3, 5, 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 6. Suppose -n - 3*c + 112 = -c, 3*c + 459 = u*n. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p = -t + 33, 13 = t - p. Suppose 4*d - t - 3 = 0. Calculate the remainder when 55 is divided by 3*(10 - d) + 1 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2.2, 25, -0.01, 1\/2 in decreasing order.\nAnswer: 25, 2.2, 1\/2, -0.01, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 121172 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 487*w**6\/60 - 751*w**3\/3 + 1384*w**2. Differentiate g(y) with respect to y.\nAnswer: 2922*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 55 - -69 - 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = z - 3*v - 6, 0 = 4*z + 5*v + 2. Let d(x) be the first derivative of z*x**4 + 2 + 2\/5*x**5 + 4*x**3 + 4*x**2 + 2*x. Factor d(w).\nAnswer: 2*(w + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (2*sqrt(2736))**2).\nAnswer: 10940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 789, 1575, 2361, 3147, 3933, 4719?\nAnswer: 5505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44.19484km?\nAnswer: 44194840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14896884.46 rounded to the nearest one thousand?\nAnswer: -14897000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3\/9 + 6454*i**2\/9 + 133672*i\/9 - 3141880\/9 = 0.\nAnswer: -3206, -35, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-3)*28581\/(-14). Suppose -2*c - 5395 = j. What is c rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1548 in 49, -2\/9, 2\/7, 8, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4)*(-2 + (-16)\/4). Let j = d + 0. Calculate the highest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 102230, -1, 5 in descending order.\nAnswer: 102230, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**7\/42 + 5*i**6\/24 - 2*i**5\/3 + 5*i**4\/6 + 50*i**2. Factor a(y).\nAnswer: -5*y*(y - 2)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2821787, 5643572, 8465355, 11287136, 14108915, 16930692?\n\"Answer: -i**2 + 2821788*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -330*i + 1403*i - 11803 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + (-1*sqrt(325) + 4 - (sqrt(325) + (-5 + (sqrt(325)*2 + sqrt(325) - sqrt(325) - sqrt(325)) - sqrt(325)))) + (5 + sqrt(325) + 0)*1)**2.\nAnswer: -120*sqrt(13) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1)*2\/4)\/((-690)\/4600).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7 = -4*q, -4*q + 13 - 3 = 2*m. Let s = 380 - 376. Suppose q*c + 5*a = 146 + 175, 0 = s*c + 4*a - 316. List the prime factors of c.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1994.9998212 + -1995. Round a to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1721*d + 3*z - 45 = -1716*d, -z = d + 9 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 119, 240, 373, 524, 699, 904, 1145, 1428?\n\"Answer: a**3 + 114*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b - 4*b - 1062*b**2 - 5*b - b)*(-6 + 2 + 6).\nAnswer: -2124*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*(m - 3*m + 3*m + (3 - 3 + 2*m)*(4 - 1 - 2)) in the form n*m + x and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 132, 5, -382.\nAnswer: -382, 5, 18, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s\/(s*s**(-7)))\/s)*s)\/(s\/((s**(5\/4)*s)\/s))*(s**0\/s)**12 assuming s is positive.\nAnswer: s**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 18 = 3*l. Suppose 0 = l*n - 12*n. Suppose 2*i - 185 = -279. Put -3, n, i in decreasing order.\nAnswer: n, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 2:53 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 289 + 290 + 3*c - 5*c - 47 + 235*c**2 wrt c?\nAnswer: 470*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.994 + -0.044. Let u = x + -3. Let m = u - -0.53. What is m rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 273 (b) 4 (c) -1\/10 (d) 0.5 (e) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -871*x = 44*x - 21960 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*n + 4*n - 208 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (920\/(-16))\/23*(-4)\/40?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 4*v - 4*v)*(2 + 2 - 6)*(4 - 3 + 0)*(-2*v**2 + 36 - 36).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 131 = 3*t. Suppose -2*x = -3*h - t, 0*x + 5*h - 295 = -4*x. What is the greatest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 495, -0.05?\nAnswer: 495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w + 16. Let b be l(-3). Calculate the remainder when 33 is divided by (b*(-24)\/15)\/(4\/(-30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136003 divided by -4.\nAnswer: 136003\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -26 (b) 4\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k. Let n(c) be the third derivative of -7*c**5\/60 - 108*c**2. Give w(n(u)).\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 - 2. Let u = 1289\/5 - 257. What is the second biggest value in n, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/21)\/((-4)\/(-9)))\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -42. Let s be a - -1 - (13 - 15). Solve 0 = 2*o - 4*o + 3*c + 13, 0 = -s*o - 5*c + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*q - h, 18 + 19 = 3*q - 5*h. Suppose 0 = -q*t - j - 2, -4*t - 6 = 3*j. Solve -4*g - 14 = -2*n, 0 = -n - t*n - 2*g - 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7472043296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*v - 669475 - 1366136 = -240493. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13663, -13, -2 in ascending order.\nAnswer: -13, -2, 13663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 15. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -84, -185, -324?\n\"Answer: -19*p**2 - 6*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -39933 at most as big as -758724\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1782 - 5091 = -n, -z - 5*n + 3414 = 0. Is z a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -74, -112, -150, -188, -226?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 770\/140 + 21\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 98*b**2 + 50*b - 8. Let h(y) = -19*y**2 - 10*y + 2. Let s = 943 - 940. Let n(i) = s*x(i) + 16*h(i). Let a(r) = -r**2 - r + 1. Give -18*a(g) + 2*n(g).\nAnswer: -2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:50 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijji when four letters picked without replacement from {j: 4, i: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wywt when four letters picked without replacement from wwiyzziitzzmmti.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-209)\/(-39) + -3 + (-400)\/150?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 104 - 108 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 922 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 546\/455 - 1\/5. Let n be (-1)\/(-4) + -1 - (-2)\/(-8). Suppose 3*t + 0*t + 12 = 0. Sort t, i, n.\nAnswer: t, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 55*k - 24*k + 2*k + 71*k as y*k + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f - 12 = 0. Which is the nearest to -2? (a) f (b) -7 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - g - 2*g + 2, 0 = 4*x - 3*g + 22. What is the tens digit of 3\/x - 1413\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 4, -0.4, -4.166, 1\/7 in decreasing order.\nAnswer: 4, 1\/7, -0.4, -1\/2, -4.166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13 + -1)\/((-5)\/(2 - -3)). Suppose d - 3*t + 3 + 5 = 0, 5*d + 3*t = w. Is 3 a factor of -1*(-2 + d) + 9 + 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6330, 12633, 18936, 25239?\n\"Answer: 6303*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 263.3 + -0.3. Let t = w + -159. Let y = 104.0000049 - t. What is y rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 26 = k - 7*q, 4*q = 2*k - 22. Let d be 5\/(-10)*k*(-4)\/6. Let d*p**4 + p**3 + 0 + p**2 + 1\/3*p = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 9*k = 3. Suppose -1 = 3*g + 2*h, k*g + 7 = -0*h + 4*h. Is g less than -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 6*z - 32. Suppose 3*j - z + 1 = 0, 5*m = j + 807. Calculate the greatest common divisor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - -0.7. Let s = 1 + 0. Is s >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k + 151*k - 509*k - 53*k + 86*k as f + y*k and give y.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 - 0.09. Let f = h - -0.1. Let p = 19\/32 + -261\/224. Which is the fourth biggest value? (a) 0.3 (b) p (c) -2\/9 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 3*g - 4*g + 1 + g - 1 + (-3 - 2 + 4)*(g - 2*g + 3*g) - 2 + 2 - 2*g + (-2*g - g + g)*(-1 + 0 + 3).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f + 10*f + f + 2*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w - 26*w + 70*w - 24*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tyyytytyyy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17681724811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 538, 542, 558, 592, 650, 738, 862?\n\"Answer: x**3 - 3*x + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 11*a = -720. Let s = 288 - a. Suppose -f + s = 3*f. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 7. Let g be k(5). Let m(x) = x + 22. Let t be m(-21). Sort t, 0, g in decreasing order.\nAnswer: t, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 383*w**2 - 8*w - 3. Let o(l) = -382*l**2 + 6*l + 2. Calculate -4*h(j) - 5*o(j).\nAnswer: 378*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -1.3. Let s = -4 + 3.9. Let z = -0.1 - s. Which is the nearest to r? (a) 0.1 (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -133. Let l = -124.0000153 + c. What is l rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7*o - 10. Let f(k) = 2 + 0*k - o*k + 1. Let r(j) = -j. Let p(h) = -f(h) - 2*r(h). Find the first derivative of p(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, q: 7, v: 3}. Give prob of sequence qaq.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*r = 4, k - 15 = -3*r. Put -5, 1, 4, k in increasing order.\nAnswer: -5, 1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 78*g - 10557 = -151*g for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133 + 25 - g - g)*(0*g - 2*g + 3*g).\nAnswer: -2*g**2 - 108*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 16) to base 9\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1\/2 (c) 5 (d) -0.28 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1135 - 4*i + 6*i + 476 + 298.\nAnswer: 2*i + 1909","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -5*m**4\/12 + 585*m. Let n(g) be the third derivative of -29*g**5\/60 - 11*g**2. Calculate n(l(p)).\nAnswer: -725*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42.0000038 - 42. Round t to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2*j + 41 = 0, 12*k + j = 4*k - 224 + 241 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 - -48. Let x be 6\/b*(-2)\/(-3). Let n = 2.06 + -0.06. What is the nearest to n in 1, 1\/5, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149844*m - 7*m**2 + 6*m**2 + 3*m**2.\nAnswer: 2*m**2 - 149844*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 4*v - 3*v)*(-4*v - 3*v + 5*v + 4*v + 0*v + 0*v + (-v + 3 - 3)*(5 - 3 - 1) - 4*v + 2*v + 4*v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*m + 52010 = 78*m. What are the prime factors of m?\nAnswer: 2, 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 221? (a) -14 (b) 0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 306270 and 600?\nAnswer: 6125400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -122212220201001?\nAnswer: -122212220201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 5 + 5)*(-197*m - 4490 + 603*m - 201*m - 202*m).\nAnswer: -3*m**3 + 4490*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -514, -1196, -1878?\n\"Answer: -682*i + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-16))\/(9\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 293445 to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -135. Suppose 2*m = i + 16, i + 8 = -5*m + 3*m. Let x be 2\/i + 17\/y. Solve x = -2*t + 3*t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 9:23 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 924808 divided by -48.\nAnswer: -115601\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32050374, -32050373, -32050372, -32050371, -32050370?\nAnswer: -32050369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 19132*g**2 + 4727*g + 7. Let t(y) = -6377*y**2 - 1578*y - 2. Let o(r) = 2*l(r) + 7*t(r). What is the second derivative of o(w) wrt w?\nAnswer: -12750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/2, -5\/6, 81, -10153 in descending order.\nAnswer: 81, 1\/2, -0.3, -5\/6, -10153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -9. Suppose -g*a + 411 = -317. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12 = -2*i + 2*n, 0 = 5*n - 25. Suppose -4*d + 0*s = 4*s, 5*d = i*s - 14. Does 7 divide d + (-24 - 2)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 143918270*s**3 - 62509669.\nAnswer: 431754810*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 7 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 13. Let z be (19\/3)\/((-2)\/(-6)). Suppose -o*b - 8 = -4*d, b - 5*d = -b - z. Solve -3*i - 23 = 5*x, 5*i - 5*x + 3*x = b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -1639?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - 3 + 3)*(-55 - 11*h + 7*h + 5*h).\nAnswer: -2*h**4 + 110*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5 = 0, 244*s = w - 240*s + 480*s - 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 5. Suppose 11*u - 32 = q*u. Solve 5*v - u*v = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.5. Let m(d) = d**2 - 3*d + 1. Let a be m(3). Let u be 1\/(-4) + a\/4. Is g greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 8:50 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:52 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4116)\/(-1470) + 1 + -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12768)\/112*3\/9?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/15)*c)\/c)\/(c*c\/c**13))\/(c**(-9\/5)*c*c**(2\/13)\/c) assuming c is positive.\nAnswer: c**(2492\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.34 + -9.2961. Round o to one dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + sqrt(405) + 1 + 4.\nAnswer: 5 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 453916?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2235*a - 354. What are the prime factors of r(-5)?\nAnswer: 3, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -87*j**2*o + 59*j**2*y - 2*j**2 - 22564*j*o*y**2 - j*y**2 + 3*j*y - 341*j + 4*o wrt o?\nAnswer: -87*j**2 - 22564*j*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1589*a**3 + 4*a**2 + 3325*a**3 - 5342*a**3 to the form m*a**3 + c*a**2 + u + x*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 3 - -2) + 23. Suppose -3*f = -f - a. Calculate the remainder when 20 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 12:32 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, y: 4, e: 5}. Give prob of sequence eyyd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4285591 to the power of 1\/2, to the nearest integer?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2757 + 3061. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*i + 5*a, i + 2 = -3*a - 10. Let h(z) = 31*z + 2. Let f be h(i). Does 19 divide f\/2 - 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391787 is divided by 2084?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(150\/(-4))*(-138)\/(-184)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + o - 9. Suppose -5*k = d + 25, -6*k - 3*d = -3*k + 27. Let a be z(k). What is the remainder when 12 is divided by -2 + -4 + a + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 0*m**2 - 3*m**2)*(-2 + 2 + 7*m) + 17*m**2 - 17*m**2 + 3*m**3.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*a + 2167295, -3*h + 3*a = 5*a + 1300393. Let y = h + 656861. Round y to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 124.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79721 is divided by 7233.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*f**2*y**3 - 3*f**2 + y**3 wrt y.\nAnswer: -75*f**2*y**2 + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 691, 666, 617, 538, 423, 266?\n\"Answer: -o**3 - 6*o**2 + 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - 3*sqrt(8)\/sqrt(2) - (sqrt(4) + 5*(sqrt(4) - sqrt(16))))\/((sqrt(22)*6)\/sqrt(11)*6))**2.\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 36626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*v + 15 = 0, -7*y + 15 = -7*v + 2*v. Solve -14*b = -18*b - h + 9, y = -b + h - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*w)\/(w\/(w\/w**6))*(w*w*w\/(w*w*w\/w**(1\/2)*w*w*w*w*w)*w)**37*((w**8\/w*w)\/w*w*w**(-1\/5))**(2\/3) assuming w is positive.\nAnswer: w**(-1243\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 625748 * -16.7\nAnswer: -10449991.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 87796 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/90*2*5*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k + k**2 + 14*k**3 + 51*k**3 - 68*k**3 - 4*k in the form x + m*k + l*k**2 + d*k**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q + 5. Give l(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (168 - 168) + 9 + 2. Let q(o) = o**2 - 6*o + 3. Let z be q(6). Let r = z - 5. Sort 1, 5, r, u.\nAnswer: r, 1, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 7\/(-2) + (-14)\/(-22). Let u = 39\/10 - 883\/220. Let v = u - h. What is the nearest to 0.1 in v, -1, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.08421 years in months?\nAnswer: 937.01052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 321 - 310. What is the nearest to -2\/7 in s, 0.13, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 6*p - 5*a + 43, 3*a + 12 = -3*p. Let m(x) = -x**3 - 9*x**2 + 5*x + 45. Let j be m(p). Solve 0*c + 3*c = j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -637.824?\nAnswer: 3189.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1))**(8\/11))**(-27) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1\/233, 9.8, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 413*r - 33. Let x be l(2). What is the second derivative of 16*s**2 + 94*s + x*s**4 - 792*s**4 + 11*s**2 - 5*s**2 wrt s?\nAnswer: 12*s**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -507489, -507490, -507491, -507492, -507493?\nAnswer: -507494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*z**3 + 8*c**4*z + 2*c**3 + 2*c**2*z + 64*z**3 wrt c?\nAnswer: 24*c*z**3 + 192*c*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 6. Let i be w(4). Suppose 0 = -2*f + 5*s - 18, -4*f = -4*s - 3 + 15. Put i, -3, 4, f in descending order.\nAnswer: 4, f, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1677 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 4*p - 110 = 0. Let t be (-4)\/p - 96\/(-10). Find the second derivative of t*f**3 + 3*f**3 - 2*f**3 - 5*f wrt f.\nAnswer: 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 12*a**2 - 14*a - 42. Give p(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 3 = -j - 4*q, -3*j - 2*q = 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 + 3*v**3 - 3*v**3)*(423 - 161 + 254 + 549).\nAnswer: 2130*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 315*x**3 + x**2 - 26.\nAnswer: 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15883 a factor of 2428018327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*m + 10, -3*l + 3*m + 39 = 0. Let s(p) = -p. Let h be s(-3). Let c = -1 - -16. Solve 4*y + u = -h + l, 0 = 5*u - c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102212 (base 3) to base 11.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 956 less than 956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/15422 and 21\/14020.\nAnswer: 154220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, q: 7}. Give prob of picking 4 r.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyoyyoyygyoyyy. What is prob of picking 2 y and 2 o?\nAnswer: 135\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l = -6*l. Suppose 2*s = -x + 1, l = 5*s + 2*x + 3 - 7. Let o(i) = -5*i**2 + s*i + 2*i + 3*i - 8*i - i**3. Determine o(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22100615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 4487. Let c(t) = 182*t**2 - 2*t + 6. Determine i(c(v)).\nAnswer: 546*v**2 - 6*v + 4505","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6433.9845 to 0 decimal places.\nAnswer: -6434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w + 384 = 0. Suppose -o = 3*o - w. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - -37 - -26*(2\/(-2))\/2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 24 = -j + 22, 4*u - j = 12. Let v(p) = -3*p**3 + p**2 + 2*p - 1. Determine v(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 15. Suppose -7*f + 99 = -x*f. Let u = -31 + f. What is the greatest common factor of 22 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 0, -2, 110, 82.\nAnswer: -2, 0, 3, 4, 82, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/2 (c) -4 (d) -4102 (e) 4 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -25*y**3\/6 - 4*y**2 - y. Let u be (-15)\/((-75)\/(-5)) + (-1 - 0). Is 21 a factor of t(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -5227041.\nAnswer: -4\/5227041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2341*h**2 - 838079*h + 353. Determine b(358).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 645*m**2 + 14307*m - 6. Determine q(-23).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -19*l**2 + 25*l. Let q(d) = 10*d**2 - 12*d. Let w(m) = -3*p(m) - 7*q(m). Find the second derivative of w(t) wrt t.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 1. Let d(u) = -3*u**4 - 6*u**3 - 19. Let a(x) = -d(x) - 6*v(x). Differentiate a(b) wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(-1*sqrt(600)))**2 + sqrt(110)\/(1*sqrt(10)*-2) + -1.\nAnswer: -sqrt(11)\/2 - 89\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cjjjccjccaccc?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - 62. Suppose 14 = -0*j + 3*j - f*q, 3*q = -2*j + 18. Let h(w) = -2*w**2 + 13*w + 11. Calculate the remainder when h(j) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*h**2 - h + 1\/2.\nAnswer: (h - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 0 - (0 + 0). Solve u = 3*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-24))\/(2\/(-8)). Suppose 4*r = z*t - 2, t + 8 = -2*r + 6*t. Let g = -8 - -13. Solve -2 = 4*m + l - r, -g*m - l = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 + 93.1. Let k = -4 - a. Let q = -0.3 - k. What is the second smallest value in 0.1, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6754 + 41064 = a, 0 = 2*n. Round a to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -13*b. Let w(o) = 24*o. Let v(c) = -5*m(c) - 2*w(c). Let d(t) = 3*t. Calculate d(v(r)).\nAnswer: 51*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 15 - l - 19 + 14.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s**2 - 11310*s + 265965. Give g(23).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzewcwxwzcz. What is prob of picking 1 x and 2 w?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31730988 to the nearest integer?\nAnswer: 5633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.8 - 0.2. Let v = n - -38. Let a = -36.0123 + v. What is a rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhft when four letters picked without replacement from {t: 1, h: 2, y: 2, f: 4, l: 1}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230618?\nAnswer: 2, 3, 205103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/h**(-6\/11)*h*h)\/(h**(1\/3)*h))\/((h**4\/h)\/h**(-4)) assuming h is positive.\nAnswer: h**(-92\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -17298889 less than -17298891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17804022*r - 17804022*r + 5466*r**2)*(3*r - 3*r - 2*r**2).\nAnswer: -10932*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4803300090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -837 > -124803\/149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 12:53 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -234893 - -234658.774. Let b = d + 234. Let u = 0.428 + b. Round u to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z + 6. Let t(c) = -17*c - 11. Calculate 11*j(f) + 6*t(f).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213*(-9)\/(-81)*57?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**2 - 419775*t = 0.\nAnswer: 0, 139925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13816 and 4082.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2 = 2*h, -5 - 4 = -3*k. Suppose 0 = 5*m - 3*x + 26, -2*x = 3 + 3. Let d = -15 - m. Is h greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417556379.\nAnswer: 417556379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4155 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/3? (a) 0.3 (b) -20 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/7293 and -49\/361335.\nAnswer: 3974685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 6:22 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33267 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 - (249 - 240)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173886 divided by -2?\nAnswer: 86943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1004)\/12 - 1)\/((-4)\/24). Is 8 a factor of (-1)\/(-3)*-2 + q\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 318 (base 15) to base 11\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 5. Let a = l - -28. Suppose 5*o + a = -3*s + 71, 0 = -5*s + o + 35. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*m = -31 + 2, 20 = -4*m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*h - 298*h**2 + 24*h**2 + 264*h**2.\nAnswer: -10*h**2 + 44*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 14*s + 33. Give w(-18).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1168676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/(-1 + -7)*5899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 11:46 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 2*h**5 - 7*h**5 + (-h + 2*h - 3*h)*(-2*h**3 - 2 + 2)*(-59 + 59 - 18*h).\nAnswer: -78*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5 - 2*d**4 + 11*d**3 + 40*d**2 + 44*d + 16 = 0. Calculate d.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 1, n: 1, f: 3, z: 1}. What is prob of picking 1 n and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2535057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.06387 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/150)\/((-1)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5193844 divided by -3.\nAnswer: -5193844\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 c when four letters picked without replacement from qqqcb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/7 - 239*z**2\/7 + 474*z\/7.\nAnswer: z*(z - 237)*(z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (94\/141)\/(1\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530*o - 527*o - 17 + 2 = 0. Solve -354 = o*z - 319 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2646 and 882.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1011, 1569, 2127?\n\"Answer: 558*b + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-260 + 256 - (1 - -14)) + 0 + 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or 14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n. Let i be f(-2). What are the prime factors of ((-40)\/i)\/((-1)\/(-3))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126718 is divided by 1666.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 20*k**2 - 31*k - 590. Calculate t(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -3879, 4, -29.\nAnswer: -3879, -29, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43059 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4, 1754, 4\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -5*y. Suppose y*h + 12*h = 24. Suppose 2 - 5 = k, h*d - 119 = 3*k. Calculate the highest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19484 + 8398 = 6*o. What are the prime factors of o?\nAnswer: 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -14*v**2 + 1. Let c be g(1). Suppose 5*b - 12 = 2*d, -4*b = -5*d - b - 11. Let n = d - c. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 96055*z - 3426. Is w(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -865 - -16433\/19. Let j = 144 + -138.3. Let r = j - 6. What is the biggest value in -0.4, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(247\/(-1001)) + 4 + 36.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 16*o - 27. Determine a(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -1584318?\nAnswer: -1584335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 >= 0.056426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i - 15 = 25*i. Let o(m) = 6*m**3 - 5*m**i - 3*m**3 + 3*m. Let f(n) = -11*n**3 + 17*n. Give 6*f(k) - 34*o(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 2 (c) 10 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 + -83. Suppose 3*x - 10 = x. Put u, 0, x in decreasing order.\nAnswer: x, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 + 11*c + 16. Let s(i) = -4*i**2 + 12*i + 17. Let g(k) = -2*s(k) + 3*x(k). Let r be g(10). Solve -q + r*f = 10, 2*q + 5*f - 30 = -11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -906, -914, -926, -942, -962, -986, -1014?\n\"Answer: -2*f**2 - 2*f - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001692 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2233 divided by -203?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14498.\nAnswer: 2, 11, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m + m)*(1 - 1 - m)*(-16 - 21 + 12).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a tonne in kilograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from {v: 2, m: 2, y: 2, j: 1, t: 2, q: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 + 56. Let q(z) = 3*z - 2 + 0 - 2*z - 3*z. Give q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -135*n**5\/2 - 63*n**4\/2 + 192*n**3 + 236*n**2 + 88*n + 8 = 0. What is n?\nAnswer: -1, -2\/3, -2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -202*x**3*y**3 - 14956*x**3*y + 6*x**3 - 3*x**2*y**3 + 1711*x*y**3 + 6*x + y**2 wrt y.\nAnswer: -1212*x**3 - 18*x**2 + 10266*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -1333?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1204 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 563808593?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 437.0000249 - 437. Round q to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*x - 174, 4*p - 3*x = x + 172. List the prime factors of p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 617098.9+0.9\nAnswer: 617099.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**3 + 15830*h**2 + 578817*h.\nAnswer: -18*h + 31660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -449 or -317?\nAnswer: -317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 23.08. Which is the closest to 1\/4? (a) 5\/3 (b) -4\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-15)\/4)*4. Let f = -14 + o. Let x(v) = -2*v**2 + 7*v + 5. Let d be x(4). Solve -d + f = n + 4*p, 12 = 3*n + 2*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -9. Let f be 1\/(3\/(-9)*d). Let c = f + 21. What is the greatest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 26*n - 5060. Let b = -253 - n. Are b and 7\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*3*-4.\nAnswer: -132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**3 + 48*w**2 + 37*w - 6. Give b(8).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 + -123.21. Let z = 0.51 + w. Suppose 2*s - 19221 + 19215 = 0. Which is the nearest to z? (a) -2\/11 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -565 - -563. Sort -51, a, 1, 4, 2 in descending order.\nAnswer: 4, 2, 1, a, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-23 - 7) - (36 + -7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 698 and 3490?\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -314*y + 4807. Let v(z) = -158*z + 2406. Let r(a) = -4*f(a) + 9*v(a). Differentiate r(t) with respect to t.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 6*c**2 - 5*c + 4. Let p be t(5). Let l(g) = g**2 + 9*g + 3. Let y be l(-8). What is the units digit of p\/(-2) - y - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*h - 5, -f + 13 = 2*h - 0*h. Suppose -t - 1 = 3. Let j(m) = -m. Let i(w) = w**2 - 10*w + 2. Let q(o) = t*j(o) + i(o). What is q(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(sqrt(99)*-2*-4 + -4*(sqrt(99) - -2*sqrt(99) - sqrt(99))))\/(sqrt(576)*-2 - -5*sqrt(9)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1544103*h. Let b(c) = c**2. Determine b(a(p)).\nAnswer: 2384254074609*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (48961*42)\/2. Suppose -3*k + 2*f = -14, -5*k + 1 + 17 = 2*f. Suppose 3708183 = k*q + b. What is q rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/4 + 2*y**3 + 31*y**2\/4 + 11*y\/2.\nAnswer: -y*(y - 11)*(y + 1)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**5 - 5266759*h**3 + 2*h**2*y - 3*h*y + 179002*h + y wrt h?\nAnswer: -20*h**3 - 31600554*h + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2. Let g(s) = -3*s - 1. Let o = 396 - 381. Let n(h) = -16*h - 3. Let t(d) = o*g(d) - 5*n(d). What is t(m(q))?\nAnswer: 70*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/6)\/((y\/(y*y**2*y))\/y*y*y)*(y\/y**(-1\/3))**(-2\/17))**(-3\/13) assuming y is positive.\nAnswer: y**(-205\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)\/n*n**(-20))**(6\/7) assuming n is positive.\nAnswer: n**(-162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69? (a) -1\/2 (b) -4 (c) 0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5*3493\nAnswer: -17465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -29*y**6\/30 + 63*y**2\/2 - 49*y + 17. Let b(l) be the first derivative of n(l). What is the derivative of b(a) wrt a?\nAnswer: -116*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 7 - (4 - (-6 + 24)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(1\/4)*x)*x**(-5)*(x\/x**(2\/3))\/x*x*x**5*x assuming x is positive.\nAnswer: x**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 54074*t**3 - t**2 - 4*t - 5. Let j be q(-3). Round j to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a5b (base 16) in base 5?\nAnswer: 203442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-1 + -6 + 13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - j**2 + 3432*j**3 + j + 0 - 6*j.\nAnswer: 3432*j**3 - j**2 - 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 2)*(4*j + 2*j + j) - 5*j + 3*j + 3*j + (2 - 2 + j)*(6 - 2 - 2) + (2*j + 4 - 4)*(-1 + 2 + 1).\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -74.\nAnswer: 20\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 676*f**3 + 12*f**2 - 30*f + 6. Let g(y) = 102754*y**3 + 1826*y**2 - 4565*y + 913. Calculate -6*g(v) + 913*q(v).\nAnswer: 664*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 8*d**2 - 31*d + 56. Give q(11).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 397*u**3 + 1212303*u - 3202*u**3 - 1212301*u in the form a*u**3 + n*u**2 + s*u + f and give a.\nAnswer: -2805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2226036 (base 10) to base 5.\nAnswer: 1032213121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -284*r**2 - 95*r**2 - 227*r**2 as b + g*r + q*r**2 and give q.\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5707 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*h, 2*h - 8 = -0*h. Let k be (-6 - l - -3)*(-12)\/(-1). Solve -a + 4 = 0, -o - 4*a + k = -0*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/4 + 24\/(-16). Let d(s) = 34*s - 4. Let a(j) = -7*j + 1. Let g(y) = -14*a(y) - 3*d(y). What is g(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 16.74686793?\nAnswer: -20.74686793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -33, -1.9324?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*c + 20, w - 2*c = -3*c - 10. Let h be (-85)\/w + 6\/(-9). Solve 3*z + 18 = -h*i, 3*i = 2*z - 2 - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 3, -215 in descending order.\nAnswer: 3, 1, -5, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**2 + 21*g**2 + 24*g**2 to s + o*g**2 + d*g and give o.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 + 81. Let p = g + 57. Suppose 0 = k + 9 - p. Let u(r) = -7*r**2 + r - 1. Give u(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q + 1757 - 1739 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -4. Let l = -8 - -7. Sort k, 2, l in descending order.\nAnswer: 2, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1518*f**3*l**2 + 11*f**3*l - f**3 - 15*f**2*l**2 + 5*f**2*l - 2*f*l**2 wrt l?\nAnswer: -3036*f**3 - 30*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*s*u*w**3 - s*w**3*z + 3*s*w - 4*u*w**3*z - u*w*z - u*w + 24*w**3*z + w**2 wrt u?\nAnswer: -2*s*w**3 - 4*w**3*z - w*z - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 18*b**2 - 3*b - 7. Suppose 5*s = x - 16, -2*s - 1 = 7. Is p(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 12:39 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - -13 - (-1362)\/57.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146628 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2031 = 4995. Let o = c - 2412. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -741040, 3 in decreasing order.\nAnswer: 3, -22, -741040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36*14\/(7\/7). Calculate the greatest common factor of 108 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65169, -65196, -65215, -65226, -65229, -65224, -65211?\nAnswer: -65190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i**3 - 10*i**2 + 26*i**2 - 25*i**3 + 4*i**2.\nAnswer: -i**3 + 20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9477478.\nAnswer: 2, 41, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2200 divided by -11.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -11. Suppose 0 = u*t + 45 - 240. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-14)\/28)\/(((-910)\/(-28))\/(-13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25398, -50749, -76102, -101457, -126814?\n\"Answer: -l**2 - 25348*l - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9608*x - 5012*x - 3257*x. Let r(y) = -7*y. Calculate r(c(m)).\nAnswer: -9373*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**5\/20 + 5*w**4\/12 - 3*w**3\/2 - 4*w**2 + w. Is 5 a factor of a(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 39*f + 1480. Determine d(37).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123 + 18*k + 123)*(4*k**2 - 2*k**2 - 4*k**2 + (-1 + 5 - 6)*(0*k**2 + k**2 + k**2)).\nAnswer: -108*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 + 1133597*t\/3 - 4534436.\nAnswer: (t - 12)*(t + 1133609)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 9*v + 81. Let c be t(-64). Which is greater: c or -493?\nAnswer: -493","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 8 = 2*d, 5*d + 2*w - 20 = 0. Let m(b) = -5*b + 135. Let l be m(23). Calculate the highest common factor of d and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 - 5*t**2 - 2*t + 3. Let j be (117\/156)\/((-1)\/(-4)). Give c(j).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(112) - (sqrt(112)*-5 + 3)) + sqrt(112) - sqrt(112)) + sqrt(112) - sqrt(112)).\nAnswer: -5 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/(-35))\/(2\/(-300)). Suppose 0 = -3*v + 69 + l. What is the highest common divisor of v and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 20118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*q + 20 - 20 as a + u*q and give u.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 8*l - 4. What is p(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 9*w**2 + 3*w - 3. Let c be (-2)\/(-9) + 20\/(-9). Let v be 7 - (0\/(-2) + c). Does 6 divide b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*z - 4*j - 16, -3*z - 3*j + 6 = 0. Suppose -z*t = -1332 + 488. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - 22 - (6 - 1) - -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 1:00 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305541 is divided by 152762.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -177, 8, -1, 206, 1 in descending order.\nAnswer: 206, 8, 1, -1, -3, -5, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63048091.58 - -63048152.57999966. Let w = m - 61. What is w rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcyc when four letters picked without replacement from ggggyrycaykcrya.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 8. Suppose 0*o - 3 = o. Let q(h) = 2*h + 8. Let p(i) = o*a(i) + 2*q(i). Let c be p(-6). Solve -4*r = -0 - c, -b + 4*r - 6 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j*j\/(j\/j**2)*j)\/j))\/j)\/j**(2\/5)*j\/(j**(2\/11)*j*j)*j**(-2\/5)\/j assuming j is positive.\nAnswer: j**(-384\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*y - 87, -2*y + 2*r = -59 + 5. Let w be ((-168)\/y)\/(2\/(-10)). Let b be ((-8)\/10)\/((-2)\/105). Calculate the greatest common factor of b and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24670 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94\/9 or 10?\nAnswer: 94\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5033 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (3 + (5 - -4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16*b - 3. Is 2 a factor of w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 3*d - 39, 15*x - 2*d - 34 = 11*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4534 greater than or equal to -4528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w - 1. Let s(y) = y**2 + 23*y + 27. Let l be s(-22). Give j(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -12*y**2 - 27*y + 27. Let s(m) = m**2 + 2*m - 2. Let h be 12\/18 + 24\/(-9). Let a(t) = h*x(t) - 27*s(t). Let k(p) = 3*p. Determine a(k(g)).\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/333*3\/(-11).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 9) to base 5\nAnswer: -1143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*l + 20 + 9, -102 = -5*s - l. Let d(r) be the second derivative of 0*r**3 + 1\/20*r**5 + s*r + 11\/2*r**2 + 1\/12*r**4 + 0. What is d(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.66 times -0.0571\nAnswer: -0.037686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 + 103*y**2 - 209*y**2 - y**4 + 104*y**2 - 6*y to g + n*y + z*y**2 + p*y**4 + m*y**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5\/7 + 904*x**4\/7 + 18964*x**3\/7 - 12272*x**2 + 111280*x\/7 - 6464 = 0. What is x?\nAnswer: -202, -28, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 190 - 187. What is the second derivative of 99*d - 16*d + 12*d**2 - 3 + v wrt d?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 971, 1504, 2037?\nAnswer: 2570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -329 - -744. Let w = -703 - f. Round w to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5684 and 5201644?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i. Let a(n) = 20*n - 2. Determine a(y(r)).\nAnswer: -20*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 - 4*d**3 - 1587*d + 787*d + 800*d - 189.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5\/70*-19 - -1)*(-30)\/(-75)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzj when three letters picked without replacement from {o: 4, z: 2, j: 3, q: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13945 and 79.8?\nAnswer: 14024.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461 divided by -480?\nAnswer: -487\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 110820 * 10.3\nAnswer: 1141446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089391346 a multiple of 2677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29196313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/156 in -2, 1\/9, -0.1, -4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4*x - 38, -4*x = -2*i + 6*i - 28. Let l(v) = 22*v - 317. Calculate the remainder when l(17) is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60308*o - 60308*o + 2 + 317 - 35*o**2 + 6*o**2 in the form k + b*o + f*o**2 and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.45469 + 0.25469. Let c = -65 + 133. Put l, 4, c in ascending order.\nAnswer: l, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2\/7 - 594592*l\/7 = 0.\nAnswer: 0, 297296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(80)*3*1 + sqrt(80) + (sqrt(80) - (sqrt(80) + (sqrt(80) + -4 - sqrt(80))))*5 + sqrt(80) + sqrt(80))*-5*-6)**2.\nAnswer: -5904000 - 1728000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16 + 15)\/(-1*(-2)\/(-4)). Find the second derivative of -8*v - 36*v**z + 18*v - 21*v wrt v.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) - 30\/(-42). Sort 5, 6\/5, w in decreasing order.\nAnswer: 5, 6\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**4\/8 - j**3\/2 - 3*j - 3. Let y(t) be the first derivative of q(t). Determine c, given that y(c) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/512*4 - (-4323454)\/3177152\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -329 - -2593\/8. Find the common denominator of (504\/225)\/((-2)\/(-10)) and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*g = 328*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2. Let y(z) be the first derivative of -8*z**3 - 30. What is j(y(c))?\nAnswer: -576*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45516 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 17*g + 449889 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 5:54 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q**3 - 6*q**2 + 5*q - 6. Let x(a) = -8*a**3 - 5*a**2 + 4*a - 5. Determine -6*x(l) + 5*z(l).\nAnswer: 8*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + n. Let i(o) = o**3 + 13*o**2 - 6*o - 11. Let a(b) = i(b) - 5*p(b). Calculate the remainder when 26 is divided by a(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*x**2 + 109*x - 109*x to p + c*x**2 + g*x and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123952 is divided by 2027?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, 4\/5, -2, -0.7 in increasing order.\nAnswer: -2, -0.7, 0.1, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*j - 3. Suppose 57*t - 61*t = -1596. What is the common denominator of 71\/21 and t\/(-9)*j\/(-35)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/16*0*4\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 87*z + 980. Calculate the remainder when 8381 is divided by f(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8156 by -40343.\nAnswer: -8156\/40343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + c**5 + 1)*(-3 + 2 + 10) - 3*c**5 + 2*c**5 + 3*c**5 + (-c**5 - 3*c**5 + 5*c**5)*(0 - 1 + 2) + c**5 - c**3 + c**3 + 0*c**5 - 2*c**5 - c**5.\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23157 and 10047565.\nAnswer: 2573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + r + 125. Let k be ((-30)\/r)\/(8\/20). Solve 6*g - k*g + 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -16921336751905.\nAnswer: 16921336751916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c**2 - 16*c - 1. Determine g(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3817, 7311, 10851, 14437, 18069?\n\"Answer: 23*n**2 + 3425*n + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 1.127 (b) -3 (c) -5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 74.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17303*i**4 - 6*i**2 + 171229.\nAnswer: -69212*i**3 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 divided by -33?\nAnswer: -89\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - f + 40. List the prime factors of h(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 5 - 31 + 9 to the form v + r*a and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**5 - c**5 + 2*c**5 - c**5 + 0*c**5 + 2*c**5 + (-c**2 + c**2 - c**2)*(c**3 + c**2 - c**2) - 5*c**5 + 4*c**5 + 0*c**5)*(-1 - 17 - 2).\nAnswer: 40*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*p - 8953 = 204*p - 3097 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 23 + (7 - 29) + 42?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c7 - 0?\nAnswer: 6c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*i - 1 = -27, -20 = 5*f - 5*i for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 - 4*b**3 + 7*b**3 + 10*b**3.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1831726.616 - -140.93\nAnswer: -1831585.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -302, -672, -1190, -1856, -2670, -3632?\nAnswer: -4742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10719 = -162*y + 56727. Suppose -j + 5*d + 1612 = 3*j, -4*j + 4*d + 1612 = 0. Let x = j - y. List the prime factors of x.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x**4 + 180188*x**3 - 450420*x**2 = 0. Calculate x.\nAnswer: 0, 5\/2, 22521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -434, 0.3, 0.028?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.03 or 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 44. What is the smallest common multiple of c and (-2)\/(-2)*6*(-420)\/(-315)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-1)*(-3)\/156.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1612 = -d + 4*p - 2*p + 1590, -25*p = 4*d - 44 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674 = 3*s - 4*n, -18*n = -5*s - 14*n + 1134. Suppose -218 + s = 6*t. Solve 4*x + 3*a = -14, 5*a + 12 - t = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-7 - -3 - (0 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -65. Suppose -3*f = 2*a - 4 - z, -5*f = -a + 20. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -5. Suppose 0 = 3*v - b - 10. Suppose 3*q = t + 41, 0 = 3*q + v*t - 30 - 35. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 + 162 + (2 - 6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 + 4?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(77) + -1*sqrt(77))\/sqrt(7) + -4*sqrt(44)\/sqrt(4).\nAnswer: -4*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 8. Is g greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9*r**24)**(-2\/125) assuming r is positive.\nAnswer: r**(-66\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -4, -11\/443, 2, 0.7?\nAnswer: -11\/443","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1110100111110011101011010?\nAnswer: -1110100111110011101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 7*x. Let p be 11\/(-1) - (-3)\/(-1). Let b be 16\/5 - p\/(-70). Suppose -4*v - 7 = 2*n + 7, b*n = 15. Determine w(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 4)\/((-1)\/(-6)). Let l(c) = -c**3 + 6*c**2 + 6*c + 4. Let s be l(w). Calculate the highest common divisor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 120, 191, 262, 333?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1257425 and 1868800.\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126553 by -7.\nAnswer: 18079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t**2 + 20*t + 3. Give k(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13*y - 26. Let u(j) = 39*j + 78. Give -13*f(w) - 4*u(w).\nAnswer: 13*w + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 224923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/42*26*-2)\/((-184)\/(-828))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, -1, 2, -63, -4 in decreasing order.\nAnswer: 5, 2, -1, -4, -10, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31205*s**3 - 10847511725*s**2 - 549241160*s - 6952420.\nAnswer: 5*(s - 347621)*(79*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 182 + -183. Let k be ((-1)\/(-4))\/(d\/(-2)). Let q = 0.7 + 0.3. What is the nearest to 1 in k, -2\/11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 3. Let u be l(-2). Is u > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 177996 and 8?\nAnswer: 355992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*x - 78, -n - x - 33 = -0*x. Let l be n\/(-195) + 1816\/26. What is l rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**3 - 14*r**3 + 21*r**3.\nAnswer: 25*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -109, -199, -289, -379, -469?\n\"Answer: -90*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = 9. Suppose -4*b + 9*u - d*u + 4 = 0, b = -4*u + 1. Let s(f) = f - 1. Let i(c) = -6*c + 3. Give b*i(l) + s(l).\nAnswer: -5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1152) + sqrt(18))\/(sqrt(6)*2*3).\nAnswer: 17*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74297689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197076 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9918554 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125.4 + -123.4. Let d = 0.1 - 0.3. What is the nearest to -1 in d, 7, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - q + 721 = x, 2*q - 717 = -5*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 121 - 18 = 0. Let c = -367816\/7 + 52648. Let m = t + c. Is m bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*z**5 + z**4 - 813*z**2 - 46211*z wrt z?\nAnswer: -120*z**3 + 12*z**2 - 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 5*o**2 + 2. Let u be k(5). Let r = -337 + 339. Let l(t) = 0*t**2 - t**r - u*t**2 + 8*t**2. Let y(f) = -2*f**2. What is l(y(v))?\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60214\/(-11)*(52\/(-8) + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02 and -0.2976.\nAnswer: -0.2776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from {a: 1, f: 1, v: 4, p: 4, r: 9}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 871740402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*a = -5*h - 920189, 2*a = -10. Let z be (-6)\/8 + h\/20. Let k = z + 11491. What is the common denominator of -1\/6 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c + 1c?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*k - 33 = 0, 3*k = 6*k. Let g = 15 - u. Calculate the lowest common multiple of g and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 + 12 = -4*q, 4*i + 2*q = 8. Suppose -3*u - i*t = -27, 5*t + 43 = 6*u - 3*u. What is the remainder when 30 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*o + 26*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 105 in 1\/9, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64512 and 97664?\nAnswer: 7031808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/m**(2\/9))\/m*m)\/m**5)**(19\/5) assuming m is positive.\nAnswer: m**(-551\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -5*s**2\/2 + 2*s - 2. Let r(c) = c**2 + c + 1. Let f(b) = j(b) + r(b). What is f(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 0*s + 3*s**2 - 1 - 2*s**2 - s - s. Let f be b(2). Let j be -2*2\/4 - f. Solve -r + 2*r - 5 = g, j = 3*g - r + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53189, -106376, -159563, -212750, -265937?\nAnswer: -319124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmm. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 0.4 (c) 4\/21 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1272, 2608, 3936, 5256, 6568, 7872, 9168?\n\"Answer: -4*y**2 + 1348*y - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -2369*w**6\/120 - 1273*w**4\/12 + 4*w**2 - 35*w. What is the second derivative of z(n) wrt n?\nAnswer: -14214*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-227*h**4 + 149*h**4 + 0 - 1)*(-3 + 4 - 12).\nAnswer: 858*h**4 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26669.23 kilograms in nanograms?\nAnswer: 26669230000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6058.57324 to the nearest integer.\nAnswer: -6059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439 + 1442 = 209*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -40, -55, -72, -91, -112, -135?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5*(4\/9 + 544\/612)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31010 + -154498\/5. Let u = m + -111. Which is the closest to 5? (a) 0.02 (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 0 + -2 - (-2252 + 2255)) + 6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320337, 640670, 961003, 1281336?\nAnswer: 1601669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + -1. Let s = f + 8. Let y(m) = -m**3 - 7*m**2 - 6*m + 3. List the prime factors of y(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 196406 + 196316 = 0 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z - 5*o = 20*z - 6, 2*o = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -1, -7748, 5, -4 in increasing order.\nAnswer: -7748, -4, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 57b5 - -50?\nAnswer: 5845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 14*c + 5. Let l(n) = 63*n + 93. Let t(j) = -5*j - 7. Let s(o) = -2*l(o) - 27*t(o). Calculate 5*r(w) - 8*s(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -1.53 (c) 2\/15 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9337.7772 to the nearest 100.\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2358117 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4 + 2*sqrt(175) + sqrt(175))**2)*3.\nAnswer: -360*sqrt(7) + 4758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -239300 by 1.\nAnswer: -239300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s - m + 137, 3*s + 3*m + 183 = 0. Is 6 a factor of (0 - 3\/9)*s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96268345 to the power of 1\/3, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154 + 223. What is the remainder when 99 is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-84)*(-3)\/(-15)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1053, 980, 871, 732, 569?\n\"Answer: g**3 - 24*g**2 - 8*g + 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-90)\/(-80) + (-1520046)\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -757\/2361 + -10\/787. What is the closest to 21 in 2\/7, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -18*x**3 - x**2 - x - 1. Let s = -588 + 587. Give n(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -3 + d**2 - 1 + 6*d - 1. What is x(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662.2567 weeks to hours.\nAnswer: 111259.1256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18288 by 32.\nAnswer: -1143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13949 or -13947?\nAnswer: -13947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9203356121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10173*y**2 - 2 + 2*y - 4931*y**2 - 5027*y**2 + 2*y**3 to the form b*y + l + v*y**2 + u*y**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 e when four letters picked without replacement from {i: 11, e: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3795189803?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**3\/3 - 5*n**2\/2 + 2*n. Let v be u(5). Suppose 0 = v*s - 3*s. Which is the nearest to s? (a) 0.3 (b) 2\/9 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 1. Let a(x) = 5*x + 6. Suppose -2 = 2*c + 10. Let m(n) = c*q(n) + a(n). Let o(l) be the second derivative of -l**3\/3 + 4*l. Calculate o(m(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 112122 (c) -4\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 2:11 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**2 - 5*n**2 + 15*n**2 - n**2 - 25365 + 25365.\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3*o**2*t + n**3*o**2 + n**3*o*t + 3*n**3 + 110*n*o**3 + t wrt o.\nAnswer: 2*n**3*t + 2*n**3 + 660*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(98) + 1 + sqrt(98) - sqrt(98))*2 + -2 + sqrt(98)*1)**2 - (1*(sqrt(72)*-1 + 1) + -2).\nAnswer: 6*sqrt(2) + 1765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 9 + 42516*t - 42421*t - t + 1 - 1 + 3 + 2*t - 3 + (-5 + 1 + 2)*(2 - 2 - t) + 4*t - 2*t - 3*t to the form f*t + b and give f.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**3 - s**2 + 2*s + 3. Let u(r) = 5*r**3 - 3*r**2 + 5*r + 5. Let x(c) = 7*d(c) - 4*u(c). What is x(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -308 - -726. Does 38 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4381296 a multiple of 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2892263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -629.69 - 665026723?\nAnswer: -665027352.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.42 * -0.35.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let o = 17 - 15. Let t be ((-44)\/112 + (-6)\/(-24))*7. Which is the nearest to -5? (a) o (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (0 - -1) - -9. Suppose 4*y = s + 2783, -3*y - 110*s + 108*s = -2090. Let f = y + -694. What is the greatest common factor of c and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u + 21 = -5*v, 2*u = -4*v - 6. Suppose -6*x + 5 = -x - 4*i, 0 = u*x - 3*i - 3. Solve -q - 4 = -x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + g - 29 = 680, -4*y = -4*g - 972. Suppose 118 = -3*k + y. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124204.1576 rounded to the nearest 10?\nAnswer: 124200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22571964 to the nearest integer?\nAnswer: 4751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 549261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 + 186 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63.38 - -63.375379. What is n rounded to four decimal places?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjapbjbpbbbvojbobbb. What is prob of picking 1 b and 1 v?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -8492982 equal to -8492982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4932*a + 515*a - 294*a + 1316*a + 1621*a.\nAnswer: 8090*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78730?\nAnswer: 2, 5, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.26 - -0.06. Let g = -1.2 - w. Are -3 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29016 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**8\/336 - 219*h**6\/40 - 5*h**4\/12 + 5*h**3\/3 + 695*h**2. What is the second derivative of b(g) wrt g?\nAnswer: 20*g**3 - 3942*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*u**5 + 12*u**4 - 298*u**3 - 475023*u**2.\nAnswer: 240*u**2 + 288*u - 1788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/(517\/264)*((-2)\/(-1))\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21231, -167080, -562951, -1333854, -2604799, -4500796, -7146855, -10667986?\nAnswer: -15189199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 19*b**2 - 18*b**2 + 2*b**3. Let y(o) = o**4 - 3*o**3 - 3*o**2. Let q(g) = 3*a(g) + y(g). Solve q(v) = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/1*(-2005)\/60150.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b - 8 = 0. Let v be 3\/b*(-24)\/(-9). Suppose 5*o - 40 = n, 2*o + 2 = -v*n - 4. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 1:45 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(33)\/sqrt(11) + (sqrt(144)\/sqrt(4))\/sqrt(12))*-4)**2.\nAnswer: 256*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -133*z + 2198. Give u(12).\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**(-13))\/u)\/((u**(3\/23)\/u)\/u))**(1\/9) assuming u is positive.\nAnswer: u**(-233\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -5. Let p = 3.1 + q. Suppose 3*m + 0*m - 9 = 0. Which is the second smallest value? (a) 2\/3 (b) m (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*l**2 + 3176*l - 3176*l + 219*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11950, 47843, 107676, 191455, 299186?\nAnswer: 430875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/6 - 1\/(-3). Suppose -4*j = 5*v - 4, v + 2 = s*j - 1. Which is the nearest to -0.1? (a) -1\/4 (b) -0.03 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97421 is divided by 76?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r + 72 = 0. Calculate the remainder when 67 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24422, 24428, 24440, 24458, 24482, 24512, 24548?\n\"Answer: 3*u**2 - 3*u + 24422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013214216 to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*3*(4 + 0 + sqrt(475))**2*6.\nAnswer: -53026 - 4320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 34 + 51. Let t = -5 - o. Suppose 5*w = -3*b - 0*w + t, 4*w + 16 = 4*b. Solve 3*r + r = -3*p + 19, 0 = -r + b*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 290, 270, 228, 164, 78, -30?\n\"Answer: -11*p**2 + 13*p + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3 = -z, -z - 462 + 465 = 3*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011 (base 3) in base 6?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 24*r + 27. Let b be s(23). Solve -2*m - b*l + 14 - 6 = 0, 0 = -5*m - 2*l - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3544a (base 16) in base 4?\nAnswer: -311101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t + 48. What is d(18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1022*a**2 + 19*a - 82?\nAnswer: -2044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(1900) + 0 + -5 + -4)*-5 + 4.\nAnswer: -50*sqrt(19) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(220) + 6*(sqrt(220) + sqrt(220)*-1) - sqrt(220))\/sqrt(10))\/(sqrt(44)\/sqrt(4)*-2 - sqrt(11) - (sqrt(99) - sqrt(99)*1)\/sqrt(9)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 388558769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 100*a + 233*a - 14518114 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 595*p**6 + 154*p**2 + 12*p - 10178. What is the second derivative of h(k) wrt k?\nAnswer: 71400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5 - (-58)\/(-145)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19437515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1011, -4150, -9379, -16686, -26059?\nAnswer: -37486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-86656035585\nAnswer: -86656035585.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**5 + 2*w**5 + 2*w**5)*(3 + 5 - 4)*(4 - 2 - 1).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i**2 + 11*i**2 + 19*i + 105*i to the form w*i**2 + r*i + s and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0.1754, 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**6\/120 - a**3\/6 - 4*a**2. Let k(c) = -c**4 + 3*c**3. Let j(z) = -k(z) - 3*s(z). Differentiate j(n) wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**4\/12 - 503*y + 2. Let b(k) = -19*k**2 - 53*k**2 - 7*k**2. Calculate s(b(x)).\nAnswer: -6241*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-133)*(-116)\/(-928)*2*-4.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.5 - 4. Suppose -3*k - 5 = -2*k - 2*i, 1 = 5*k + 3*i. Let c be 81\/36 + -1 + k. What is the third biggest value in c, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10 + (-3 - (-101)\/35).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wswwwwwwwwwwwwwwwww. Give prob of picking 2 s and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 98*l - 5. Let d be f(4). Let n = -234 + d. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.1016 and -18?\nAnswer: -127.8288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - (111 - 35)) + 7.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*f**2*u**3 - f**2*u**2 + 7*f**2*z**2 - 8*f*u**3*z**2 - 12*f*u**2*z**2 + 25*u**2*z**2 wrt u.\nAnswer: 126*f**2 - 48*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 341*v**6\/60 - 217*v**4\/24 + 768*v**2. What is the second derivative of w(o) wrt o?\nAnswer: 4092*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**4 + j**4 - 3*j**4 + (-3*j + 3*j + j)*(-4*j**3 + 2*j**3 + 0*j**3) + 10*j**4 + 881*j**2 - 881*j**2 + (-4*j**2 - 7 + 7)*(-3*j**2 - 3*j**2 + 4*j**2).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 130071 = v, -5*i + 130083 = 146*v - 149*v. Is i a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -198 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -828 - -830. Suppose -8*b - c*b = -70. Let t(s) = -3*s + 10. What is t(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.78, -15\/34, -0.4 in decreasing order.\nAnswer: 3, 0.78, -0.4, -15\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/((-6321)\/(-86)))\/(-1*1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301*q = -313*q + 24132. Is 27 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*z + 4*z - 824, 5*k - 1033 = 2*z. What is the smallest common multiple of 287 and k?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 10 = -5*o. Suppose 0*d - 5*d + o = 0. Solve -r + d = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 615 in descending order.\nAnswer: 615, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.23 - 2.2481. Let k = -102.5181 - v. Let i = -103 - k. Which is the smallest value? (a) -0.9 (b) i (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-145 - 38 - 5 - 18)*(3*p - 3*p - 2*p)*(-2077*p + 2077*p - 69*p**2) to y*p**3 + c*p + n*p**2 + a and give y.\nAnswer: -28428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26936)\/(-65) + (-4)\/10. Let i = m + -6621\/16. Is i < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*m + 3, -334 = -p + 2*m - 335 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -156356 divided by -65?\nAnswer: 156356\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i + i - 2*i + 4*i. Let v(w) be the third derivative of -w**5\/60 - 2*w**2. What is v(n(s))?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166\/3 - -824\/15. Is u not equal to 9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182 + 177. What is the tens digit of -286*(-6)\/12 + d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 6:42 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6164525?\nAnswer: 5, 191, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304731.7ms in hours?\nAnswer: 0.64020325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722 is divided by 99?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(2\/3)*g*g)\/g)\/(g\/g**46*g) assuming g is positive.\nAnswer: g**(143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 + 2 - (-6 + -1 + 4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 76, 137, 200, 259, 308?\n\"Answer: -q**3 + 7*q**2 + 47*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 11*f**4\/4 - 21*f**2 + 40*f. Differentiate o(a) wrt a.\nAnswer: 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a day in seconds?\nAnswer: 27648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 30. Let c(j) = -j + 1. Let m(s) = 2*c(s) - l(s). Let i be m(9). Suppose -5*k + 1895 - 366 = -2*u, 3*u = i*k - 1526. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -290)*((-125712)\/(-1656) - 76)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1311 - -1311.6622. Let i = -0.0222 + y. What is the closest to i in 4, 5, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17936, 17943, 17938, 17915, 17868?\nAnswer: 17791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 1:25 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/5))\/v)**(-4\/15)\/(v**(-13\/4)\/v**(5\/3)) assuming v is positive.\nAnswer: v**(1507\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/((-1*sqrt(144))\/sqrt(12)))**2 + sqrt(10)\/(sqrt(5) - (sqrt(245)*-2 + sqrt(245))).\nAnswer: sqrt(2)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 9 + 15)*(-4*c**2 - c**3 + 4*c**2) to k*c + a + r*c**3 + z*c**2 and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2473 is divided by 774.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2 - 50. Let o = 7 - i. Let v = 53.1 + -53. Put o, v, 1\/3 in decreasing order.\nAnswer: 1\/3, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/(-6))\/(((-6)\/2)\/(-1)))\/(3093\/402090).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -662\/7 + 94. Let u = -52747 - -52744. What is the third biggest value in 2.5, 0.1, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5701 - 5706 - 7456*f**3 + 11407 + (0*f**3 - f**3 + 2*f**3)*(1 + 2 - 2).\nAnswer: -7455*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, 5, 8698, -101, -5 in increasing order.\nAnswer: -101, -5, -2, 5, 11, 8698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69550 and 90910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 405600 divided by 150?\nAnswer: 2704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 100230 (base 5) in base 15?\nAnswer: e2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -21, 4 in increasing order.\nAnswer: -21, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -13*n + 8. Let m(f) = -3*f + 2. Give 2*b(p) - 9*m(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {n: 2, c: 2, p: 3, o: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -40\/521?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5300, 5594, 5836, 6032, 6188?\n\"Answer: a**3 - 32*a**2 + 383*a + 4948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -61c4 - 38b?\nAnswer: -654f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 less than or equal to 504\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8430702 + 2560817 = -35*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2 + 6109403*c + 16402614 wrt c.\nAnswer: 2*c + 6109403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 44364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, j: 4, c: 7}. Give prob of picking 1 j and 1 c.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4868 < -4868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4 - 14055*j**3 + 16299024*j**2 + 382689780*j - 398974752 = 0.\nAnswer: -24, 1, 2354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -254+113952619\nAnswer: 113952365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*n - 72*n + 19*n + (4 - 4 + 2)*(n + 2*n - 4*n) to q*n + z and give q.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 4*w + 3682. Is 119 a factor of i(104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689*y - 4051 = -25410 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -24*f + 4. Let t(v) = 12*v - 2. Let x(y) = -6*j(y) - 13*t(y). Let i be x(-4). Calculate the greatest common factor of 80 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 16*f**2 + 13*f - 25. Is m(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6*r - 4*h + 12, 13 = 3*r + h. Suppose -3*g + r = -2*y + y, -7 = -g + 3*y. Solve -3*z + 5 = -g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7242*u = -1677*u - 454869 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 351083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -7*x + 762. Let y = x - 119. Suppose 9*p = y*p + 85. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2 + sqrt(637) - sqrt(637)) + sqrt(637) + sqrt(637) + -3*sqrt(637)*3 + -4*((sqrt(637) - (sqrt(637) - (0 + sqrt(637) + 4))) + -2))**2.\nAnswer: 1232*sqrt(13) + 77141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174376692 and 686?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.192 rounded to zero dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 101511993.42 and 0.1023?\nAnswer: 101511993.3177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27889 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {n: 7, w: 7, j: 1, f: 2}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5189 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 6, q: 12}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 144 times 8\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*73.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7415869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2 - 114*y + 112 = 0 for y.\nAnswer: 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2012906087?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 12*p - p**3 + 2*p**2 - 7*p**2 - 1 - 16*p. Let i(f) = -2*f**2 - 2*f. Let j be i(-2). Determine r(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 0 + 0*h**2 + 0*h**5 + 7\/6*h**4 + 4*h + 5\/14*h**7 + 0*h**3 + 0*h**6. What is the third derivative of t(x) wrt x?\nAnswer: 900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 10. Let y(n) = -n**2 + 4. Let k be y(p). Let s(v) = -v**3 - 4*v**2 + 3*v - 7. What is s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 3:22 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -110442.87 rounded to the nearest 100?\nAnswer: -110400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 10?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-222)\/(-1554))\/(((-4)\/(-70))\/2). Put -5, w, -23 in decreasing order.\nAnswer: w, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 0*v**2 - 2*v**2 + (-1 + 1 - v)*(-3*v - 3*v + 4*v) - v**2 + 2*v**2 - 4*v**2 + 5 + v**2 - 5 + (21 - 5*v - 21)*(0*v - v + 2*v).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-18)*(0 - (-6)\/11).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4742 (base 13) to base 3\nAnswer: -111202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1033488*u**5*y + 6*u**4*y - 2*u**3 - 11*u**2 + 11*u*y + 6*y + 234 wrt u.\nAnswer: 62009280*u**2*y + 144*u*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-4)*1*-1. Suppose 3*m + 9 = 0, -5*m + f = l - 0*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-3)\/2 - 3\/(-2). Solve m + a*y - 2 = -3, -m + 3*y - 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((43 - 7 - 19)*(-6 + 5 + 2) + 1 + 3 - 3)*(b**3 - 3*b**3 + b**3).\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*o - 18 = 0, 4*o = -5*f - 10 + 73. What is the lowest common multiple of f and 11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 0 - 10)*(-2*q - 4 + 4 + 1 - 1 - 2*q + 2*q - q + q + (0 + 1 - 2)*(2*q + 3*q - 4*q) + 2*q + 0 + 0) in the form s*q + j and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) -0.25 (c) 1 (d) 0.0249 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 8*j - 4*j - 21, 5*j = 4*b + 18. What is the highest common factor of 42 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 3*y**3 - 45*y**3 + 6*y**3 + 30*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 12. Suppose 0 = 5*q - m*p + 510012, -415243 + 7258 = 4*q + 5*p. Round q to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = -4*s + 984. What is the greatest common factor of s and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 + 227 - (4 + -2 - (-13 - -88))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**4\/24 - t**2. Suppose 0 = -w - 1 + 3. Let c(j) = -w*j - 11 + 11. Give s(c(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**8\/168 - 11*u**4\/24 - 3*u**2. What is the second derivative of q(s) wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -373859, -373876, -373893?\n\"Answer: -17*i - 373842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 1*(6 - 3). What is the units digit of ((-5)\/10)\/(b\/26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ef (base 16) in base 9?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/94042 and -13\/2991259.\nAnswer: 77772734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.79348 to 2 decimal places.\nAnswer: 32.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - 17. Let y = 43 + k. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491212 is divided by 3749.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/297)\/(8\/24)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z + 2176 = 0. Suppose -13*r + z = -9*r. Suppose -6*w + 2*w - r = -2*v, -w + 384 = 5*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t - 1. Let k be i(2). Let d = k + -19. Does 7 divide d\/2*(-14)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69171 + 484199\/7. Solve 2\/7*n + 0 - 4\/7*n**2 + i*n**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 324998?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16659 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31536 and 1623520.\nAnswer: 43835040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e6 - -72b?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-19)\/95)\/(8\/30).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 3)*(-g**3 - 2*g + 2*g)*(-3*g + g + 4*g + (g - 7*g + 3*g)*(2 - 2 + 2)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 349978, 349980, 349982, 349984?\n\"Answer: 2*x + 349976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 5, 12, 442?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -5*q**5 - 23*q**3 - 149*q - 59. Let t(w) be the first derivative of c(w). What is the second derivative of t(u) wrt u?\nAnswer: -600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -36*i. Let c(j) = -9*j. Let u(d) = -26*c(d) + 6*w(d). Let a(h) = 2*h**2. Give u(a(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2. Let m(a) = -267*a. Calculate l(m(u)).\nAnswer: 285156*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 8*c + 6. Let j be y(8). Let r be (j\/(-4))\/(1\/(-2)). Suppose -5*w + 6*q = r*q - 51, 0 = w - q - 11. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 29 = 4*q, -3449*q + 3454*q = 3*w - 64 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - g**2 + g**2)*(7 + 7 - 24)*(3 + 3 - 7).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 13*m + 16. Let j be u(7). Let l = j + -106. Sort 4, l, 0.\nAnswer: 0, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06296 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 + (15 - 12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 10:33 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 36*s**2 - 543*s - 5413. What is y(-23)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {d: 4, t: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -142 - -82023?\nAnswer: 81771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88 - (120 + -38 - 44 - 27).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3368561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12281115 by -159495.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 5*s**3 + 10. Let k(q) = 35*q + 30. Let b(l) = -9*l - 8. Let z(r) = 15*b(r) + 4*k(r). Calculate h(z(m)).\nAnswer: 375*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138874*l - 69450*l - 69431*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 w when three letters picked without replacement from {v: 14, w: 4}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 9:22 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.23 + 0.23. Let j = 13 + m. Which is the nearest to -2\/7? (a) 1 (b) -2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**6\/120 - a**5\/20 - 3*a**4\/8 - 4*a**3\/3 - 21. Let u(w) be the third derivative of y(w). What is k in u(k) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5920 (b) 1 (c) -600\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1\/(-1)) + 0. Let c(w) = 87*w**3 + w - 1 - 296*w**3 - 2*w. Let g be c(t). What is the greatest common factor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b*m**2 + 27415*b*m - 2804*b - 70727742*m**2 wrt b?\nAnswer: m**2 + 27415*m - 2804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 17*v - 3. Calculate o(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from jjqjdjyqdjyjqjjjjjjq?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m + 40. Let k(p) = 4*p + 60. Give 5*k(x) - 7*n(x).\nAnswer: -x + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12010123 + -20213?\nAnswer: -12031002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 10 - 23)*(v + 3792 - 3797 + 10*v).\nAnswer: -264*v + 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - 1 - 3*i**2 + (-i + 3*i + 0*i)*(0*i + 6*i - 4*i).\nAnswer: i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 2\/(-1)) + 4. Suppose -6*n = 2*m - 2*n + 10, v*m + n = -34. Let s be (m\/(-2))\/((-3)\/(-4)). What is the greatest common divisor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x = -30*x. What is the second smallest value in -0.5, 30, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kamo when four letters picked without replacement from oooommoaakomooookhk?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9649068193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -145, -146, -147?\n\"Answer: -c - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540211.\nAnswer: 7, 229, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 13. Suppose 3*s - 4*g = -15, 7 - 24 = 2*s - i*g. Let j = s + 11. Solve 2*l + 2*l - o + j = 0, 17 = -5*l - o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1175, 431, -313?\n\"Answer: -744*t + 1919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001010 (base 2) to base 3.\nAnswer: 112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*t + 11. Let h = 212 + -206. Let w = t - h. Which is smaller: -1\/17 or w?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -18*m + m**3 + 5*m + 6*m + 8*m - 3 - 5*m**2. Let f be c(5). Solve f*v = 3*i + 2 + 2, -11 = 5*i + v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4629 - -7410. What are the prime factors of b?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/3 - 4*d**4\/3 + 4*d**3.\nAnswer: -d**3*(d - 2)*(d + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 7*p + 12*p + 55 = 0, 25 = 5*r + 5*p for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9 - 1 = 0. Suppose -w = m*w. Let t = w + 2. Solve q = t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000707048 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiiimdsivsvsi. Give prob of sequence isdv.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 0.5 (c) -6 (d) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 plus -2.4?\nAnswer: -287.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -4. Suppose -t*h + 66 + 49 = 0. Let k = -16 + h. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 + -51. Solve -5*k + 3*w = w + r, -k - 5*w = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(-11*m - 9*m + 3*m)*(4 + 0 - 3)*(13*m - 18*m - 25*m)*(-1 + 8 - 2).\nAnswer: 2550*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5494\/(-402) + 30\/18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 12. Let f = -6 - d. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 8 + 14. Is 21 a factor of ((-14)\/z)\/(6\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123433340 + 32?\nAnswer: -123433303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 90\/27 - (8\/12)\/(-1). Let l be 25*1 + (-2 - -2). Suppose q*b = -b + l. Solve -4*y + 9*y - b = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-34)*j**(-6) assuming j is positive.\nAnswer: j**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*k - j, 0 = 4*j - j - 6. Let n = -16.9 + -4.1. Let u = 25 + n. What is the closest to 0.2 in u, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1282833339729927\/46354 + 27674706381. Let d = k + -15\/2107. Calculate the common denominator of d and -65\/86.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - x. Let t = -1 - x. Let b(n) = 1. Let k(p) be the third derivative of p**4\/24 + p**3\/3 + 16*p**2. What is t*k(o) + 2*b(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -305587 + -20a?\nAnswer: -305796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*n - 9. What is the units digit of 10\/n + (-75)\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - d - 645 + 649 in the form b*d + h and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118373?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*b = 5*m - 157*b - 85, -2*b - 51 = -3*m. Calculate the remainder when m is divided by (-440)\/(-77) + 2\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**3 - 11*u**2 - 11*u**2 + 43*u**2 - 9*u**2 - 13*u**2.\nAnswer: -16*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -435305*b**5 - 13*b**2 - 16*b + 443.\nAnswer: -26118300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21216 (base 9) in base 10?\nAnswer: 14028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2461367.\nAnswer: 1303, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9091\/30 - 303. Let x = n + -7\/10. Let y = -2 - -1.9. What is the third smallest value in y, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/190 + 2\/(-10)*1. Suppose 4*y + 74 - 82 = b. What is p in 75\/4*p**3 + 3\/4 - 27\/4*p + 45\/4*p**y = 0?\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1892? (a) 1\/4 (b) -16 (c) 2\/9 (d) 0.1 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-323)\/(-95) + -7)\/((-1981)\/(-280) - 7)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u = 58 + 38 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19321610 - -0.3\nAnswer: 19321610.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2172304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -30*40\/(-16) - -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a minute in seconds?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + -12001033132?\nAnswer: -12001033300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*d + 7, -3*d + 3*z + 6 + 6 = 0. Suppose 3*q - 4 = -2*h, 4 = -3*h + d. Differentiate -q*l + 7*l + 5 + l + 10 wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -0.5 (c) 1.7 (d) 0.66 (e) 8241 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -4, 0.\nAnswer: -24, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znbbnfnfnm. What is prob of picking 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, 21, 47, 85, 135, 197?\n\"Answer: 6*t**2 - 4*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h - 75. Suppose b - h = 2*i, 2*b = 4*i - i + 25. Suppose 5*z - 1152 = -3*x + 6*x, x - 1136 = -b*z. List the prime factors of z.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 2*a + 9. Give b(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-265)\/(-10))\/((-78)\/156))\/(-8*(-8)\/128)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -6, -55 in increasing order.\nAnswer: -55, -6, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, m: 3, k: 2, t: 3, i: 2, l: 1}. Give prob of picking 1 n, 1 m, 1 l, and 1 i.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**5 - 14954*m**2 + 100*m + 264*m**3 - 12 + 14706*m**2 - 124*m**4 + 23*m**5 = 0. What is m?\nAnswer: 1\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/4)\/((a*a**(-13))\/a))\/(((a*a**(-23)\/a*a)\/a)\/a**(-27)) assuming a is positive.\nAnswer: a**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393996.\nAnswer: 2, 3, 32833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -9. Let z = -14.8 + y. Let q = z - 1.20000027. What is q rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 3*c + 3. Let a(t) = 2*t + 0*t**2 + 3*t**2 + 40 - 45 + 3*t. Let g be -4 + (1\/(-1))\/(-1). Give g*a(h) - 5*f(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 80487 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*g**2 - 4*g**2 + 16*g**2.\nAnswer: -189*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -120*j - 940. Let d be o(-8). Which is smaller: -1\/2 or d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9951048*c**2 + 4474910*c?\nAnswer: 19902096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -298628 divided by -121.\nAnswer: 2468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -788 = -4*b + 3*m, 2*b + m + 67 - 461 = 0. Calculate the remainder when b is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -17. Let g be (7 - z)*3\/(-2). Let f be (4 + g)\/(2\/6). Solve 5*r = 10, 2*i - 2*r = -1 + f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16866?\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-13)\/(-12) + (-43)\/86.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*a - 899 + 1046 - 4557 = 0 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 487322.5 hours in nanoseconds?\nAnswer: 1754361000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*w - 2, w = 3*r - 146. Calculate the remainder when 119 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*21*(-1)\/1. Let k(n) = 5*n**2 - 15*n + 41. Let w be k(8). Suppose 4*i + 97 = b + v, -3*b - i = -w. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 28. Let x(v) = 0*v**2 - 10 + 2*v**2 - 4*v**2 - 10*v + v**2. What is the remainder when h is divided by x(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**4 - 3*x**4 + 5*x**4 + (0 - 4 + 6)*(-x**4 - x**4 + x**4).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.84 - -0.44. Let o = 3.9 + -0.9. What is the nearest to -2 in l, o, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -12. Is 18 a factor of 54*(-1)\/a*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 7 = j, 0*s + 5 = j - 3*s. Let m be j\/14 + (-23)\/(-7). Let g(c) = -5*c**2 + 6*c**2 + m*c**2. Let x(w) = -2*w**2. Give x(g(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*x**4\/3 - 72*x**3 - 158*x**2\/3 - 4*x = 0. What is x?\nAnswer: -2, -1, -3\/35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**2 - 7*h - 2*h**2 + 6*h - 3. Let b(y) = -4*y**2 - y - 2. Let d(z) = -4*b(z) + 3*u(z). Calculate d(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*k**5 + 74*k**4 + 9756*k**3 - 5421*k + 71 wrt k?\nAnswer: -560*k**3 + 888*k**2 + 58536*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24089*i**3*s**2 - i**3 + i**2*s**2 - 2*i**2*s - 2*s**2 + 5*s - 7826 wrt s?\nAnswer: 48178*i**3 + 2*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11334 (base 5) to base 15.\nAnswer: -3b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/13 - -31\/78. Let a(d) be the third derivative of 0*d - 7\/24*d**4 + v*d**3 + 0 + 3*d**2. Calculate a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 7*v + 22. Is 8 a factor of c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 438641*i**3*m**6 + 9*i**3*m**3 + i**3*m**2 - 2*i**2*m**2 + 535*i - 9492*m wrt m?\nAnswer: 52636920*i**3*m**3 + 54*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/6 - (-22)\/4. Suppose 2*y + j*u + 30 = -18, -u + 74 = -4*y. What is the tens digit of ((-4)\/1)\/(2\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:27 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + 65. Suppose a = -p + 103 + 57. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12813 divided by -3?\nAnswer: 4271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 46\/(-40) - 8\/(-20). Suppose q + 5 + 8 = -3*v, 0 = 3*q + 3. Let i(a) = -a**3 - 5*a**2 - 4*a. Let d be i(v). Which is greater: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3681*f + 17*f**3 - 7 + 92*f**2 - 3681*f wrt f?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-72)\/540 - (-32)\/15. Suppose 3*t + d*i = 63 - 16, 0 = 2*t + 2*i - 32. Solve 4 + 17 = -2*a + 5*m, 0 = a - 4*m + t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(425) + (sqrt(425) + (sqrt(425) - sqrt(425)*2) - sqrt(425)) + sqrt(425)) + 2 + 4 + 3)**2.\nAnswer: -200*sqrt(17) + 10641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x**2 + 320*x - 194. Let t be p(26). Is t bigger than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72*-2\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466101*a**3 - 155369*a**3 - 155376*a**3 - 155363*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002593 rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9316 and 16440?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*d + 6 = j, 78 = 5*j - d. Let s = 16 - 7. Calculate the remainder when j is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 232.3416 seconds?\nAnswer: 3.87236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 8:55 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 3*i + 3. Let d(z) = -z - 1. Let a(j) = -6 + 9*j**2 - 2*j + 0*j + 4*j - j - j**3. Let s be a(9). What is s*d(l) + v(l)?\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2\/6 + 90602516*b\/3 + 4104407952765128\/3 = 0.\nAnswer: -90602516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*p + 2*p**3 + p**4 - 2 + 101*p - 5*p**3 - p**2 + 3 + 2*p**3 in the form u*p + g*p**3 + c*p**4 + n*p**2 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -17*l**2. Let s(x) = -1412771*x**2. What is a(s(c))?\nAnswer: -33930672273497*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 116573*j. Let o(l) = 2*l**2. Determine c(o(b)).\nAnswer: 233146*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319393*a + 319589*a + 5899 = -3313 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 477 and -28.\nAnswer: -13356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001249452449 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -167 * -1\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:41 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 52*t**2 + 421*t - 81. Determine k(42).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + 4 - 34\/(-1). Suppose 3*u = u + m. Suppose -6 = 5*h - 26. Solve -x = -5*x + 3*l + 13, -5*x + h*l = -u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2520, 1 in decreasing order.\nAnswer: 2520, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 45643, 1, 0.602 in decreasing order.\nAnswer: 45643, 1, 0.602, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-167)\/4 - (-2)\/(-8). Let x be 2\/7 + (-114)\/o. Solve -3 = -5*m + x*r - 0*r, 5 = -5*r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 4*d**2 - d + 4. Let y be j(-3). Sort 4, y, 2.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:11 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*b + 3*b - 58 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 917831335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2123*q = 1076*q - 1809*q + 68544 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 4 + 5 + l**3 + 0.\nAnswer: 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/21 + -2 + 0. Which is the closest to d? (a) 1 (b) -4\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2. Let n(x) = -10*x - 45. Determine d(n(o)).\nAnswer: -100*o**2 - 900*o - 2025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72.084 + 0.084. Let k = -61 - m. Which is the second biggest value? (a) k (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*j + 19 = k, -15 = -3*j. What is the nearest to k in -16, 5, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-325) + 1\/(13\/(-67))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**8\/2016 - s**7\/420 + s**6\/720 + s**5\/120 - s**4\/72 + 25*s**2. Determine y so that x(y) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 110, 213, 316, 419?\n\"Answer: 103*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/3 + (-1)\/(-3). Find the common denominator of (0 - (-6)\/11)*(-39)\/12 and 1\/(-27)*(-183)\/s.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 133.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9497275 greater than or equal to 9497275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*t = -29 + 5, 0 = -5*j + t + 34. Let p(d) = 2 + 9*d - j - 8*d. What is p(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5\/2 + 287*s**4\/2 - 4939*s**3\/2 + 26237*s**2\/2 - 19400*s + 8608 = 0.\nAnswer: 1, 8, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 135\/8 + ((-93)\/24 - -4). Let d be ((-14)\/18 - -1) + (-1681)\/(-9). Calculate the highest common divisor of d and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52811720 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23955 to 4 dps.\nAnswer: 0.2396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1752053 (base 8) in base 6?\nAnswer: -14555151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -7. Let f be (1 - 3)*j\/2. Suppose 2*k + k = -f*i + 120, -183 = -4*k + i. Calculate the greatest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 51709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 213*b - 736*b = -17028 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/10 - 497*u\/10 - 26781\/5.\nAnswer: -(u + 158)*(u + 339)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 13, p: 5}.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -12*m**3 - 4*m**2 - m + 2. Is l(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2399 - 2359. Solve 30 = -30*f + c*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312720 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 17 = -3*d, 5*d = -206*y + 211*y - 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1063, 4137, 9251, 16399, 25575, 36773?\n\"Answer: -w**3 + 1026*w**2 + 3*w + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -22. Suppose -4*g = 16, -4*z + 3*g - 3 = -y*z. Suppose -2*n + 4 = -z*a - a, a = 2*n - 13. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7438021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/78)\/((-3)\/(-18)). Let r = 0.03 + -3.03. Which is the second biggest value? (a) -3\/7 (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433026 is divided by 2092?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -19*i**2 - 15*i + 39. Let b be w(10). Let q = -1180 - b. What are the prime factors of q?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -2\/27 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 630, -0.2, -0.5, 94, -0.1.\nAnswer: -0.5, -0.2, -0.1, 28, 94, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/(-12) - 4\/6. Suppose u + 59 = 4*v - 2*v, -u = -5*v + 155. Suppose o - v = -w*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 28. Suppose -f*w = 2 - 14. Suppose -2*u - 7 = -v, 0*v = 3*v - w*u - 36. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 104.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 369792630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.552113 millimeters?\nAnswer: 0.000005552113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4)*0\/4)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (53\/(-1) - 0)*(-27 + 26). Let d = -48 + o. Sort d, 0, -0.4, 1\/7 in decreasing order.\nAnswer: d, 1\/7, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 5*(sqrt(637) + (sqrt(637)*1)**2) - 1*1*sqrt(13)*-2) + 2 + 5.\nAnswer: 44*sqrt(13) + 3192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620814 is divided by 124160.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -41. Suppose -b*l + 4*q = 18 + 2, -4*l - 2*q = -10. Let y be (2\/(-10))\/((-6)\/10). Which is bigger: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 6:22 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5560336 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 199*l**2 - 199*l**2 + 86*l**3 + (-1 + 9 + 1 - 6*l)*(-2*l - 2*l**2 + 2*l).\nAnswer: 98*l**3 - 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**5\/60 + 4*g**2. Let j(u) = -70*u + 20*u + 28*u + 28*u. Determine j(b(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 34. Let d be (-1)\/(-1)*b\/(5\/3). Solve -d*c - 6 = -0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7181323 to the power of 1\/2, to the nearest integer?\nAnswer: 2680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -2.8. Let w = 2.2 + u. Sort -2\/7, w, -0.5 in descending order.\nAnswer: w, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 22*o = -336. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10033 + 10038. Suppose -6 = 5*t - 26. Suppose l*w = -t*z + 69, 0 = 4*z - z + 12. What is the remainder when 65 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367 + -21*(-2)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/316, -32\/5 in ascending order.\nAnswer: -32\/5, -2, 3\/316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1265.\nAnswer: -2\/1265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 21499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 163453 in increasing order.\nAnswer: -1, 2, 163453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -57. Which is the closest to -2? (a) x (b) -8 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -653628125 - -653628129.38999371. Let m = -4.39 + a. What is m rounded to seven decimal places?\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8502 rounded to 2 dps?\nAnswer: 5.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 + (-3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 41 = -157. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-12\/5)\/b)\/(b*((b\/(b*b\/(b\/(b\/(b\/(b\/(b\/(b\/(b\/(b*b**21)))))))))*b)\/b*b)\/b) assuming b is positive.\nAnswer: b**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6398 and 411658288?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 - 3*i**3 - i**3)*(-3 - i + 3) - 6*i**4 - 8*i**3 + 8*i**3.\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**9*a\/(((a**(-6\/5)*a)\/a)\/a)*a*a)**(-26\/3)*(a**(-2\/13)*a*a*a*a**(-2)*a*a*a)**15 assuming a is positive.\nAnswer: a**(-14438\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8967 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000202259 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235211 = -4129*p + 121682 - 113282 for p.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 6*x**2 - x + 2. Give i(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 28*u + 3. Let w be c(-14). Suppose -h - 216 = -w*h. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -466*z**2 - 241*z**2 - 741*z**2 - 164 - 863 with respect to z.\nAnswer: -2896*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-21)\/(-24))\/((-1)\/4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1016, 833, 650, 467, 284, 101?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -29. Let n(p) = 6*p**2 - 5*p + 4. Let m(r) = 5*r**2 - 4*r + 3. Let t(j) = c*n(j) - 4*m(j). Give t(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -182*o**2. Let n(g) = 5*g. Determine a(n(f)).\nAnswer: -4550*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + d**2 - 5*d**2)*(-2*d**2 - 2*d**2 - 3*d**2) + 2*d + d**4 - 2*d + (-5*d + d - 4*d)*(4*d**3 - d**3 - d**3).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2970657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5654 + 5691. Solve 20 = 5*o, -3*o + d = 25*w - 20*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5563 = 128*s + 163*s - 2071 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1003856 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550.9071 decades to millennia.\nAnswer: 5.509071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.124 and 975385?\nAnswer: 120947.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 + u + 26*u - 18*u - 6 - 4*u**3 - 5*u to the form s*u**2 + i*u + o*u**3 + g and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z. Let o = 0 + 12. Suppose -o = -4*n - 32. Let b(d) = -2*d. Let m(f) = f**2 - 5*f. Let p(v) = n*b(v) + 2*m(v). Determine p(w(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65546688 by 2.\nAnswer: 32773344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from hrkhkrrhkg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 10*g**2 - 11*g + 4. Let b be y(11). Let j be b\/(-10) - (-14004)\/10. Round j to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10461133 less than -0.41?\nAnswer: -10461133.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2. Let f = 0 - -2. Let q(c) = -f*c**2 - c**2 + 3*c**2 - 2*c**2. What is q(i(g))?\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r = -304 - 236 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8705.725 nanometers?\nAnswer: 0.0008705725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1813 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18580\/3141 + -48\/349. Let v = -14257\/714 - -265\/14. What is the common denominator of v and z?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -68 - (-40 - (4 + -15))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121 + 1088\/9. Let w = -2 - -5. Which is the biggest value? (a) i (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 6.2. Let f = 16.1 - 16. Which is the second biggest value? (a) -2\/11 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 4*w + 15, 0 = -5*v + 6*v - 5*w - 5. Let t = 564 - 1001. Let l = t + 442. Solve -3*h + l*j - 20 = 0, -18 + v = 2*h - 3*j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24832641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 910 divide 79170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97.0357 + 97. Let n = 0.0356861 + x. Round n to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10*u**2 + 179*u + 83. Let i(a) = 44*a**2 + 717*a + 333. Let l(x) = 9*d(x) - 2*i(x). Calculate l(-88).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -428.505 - 0.495. Let h = -429.0401 - d. Round h to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + -0.7. Let r = w + 2. Let u = -26 + 25. What is the closest to r in u, 2\/21, 5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d + 6*d + 2 - 5*d - 4*d + 0*d + 3*d + (-4*d + 5*d - 2*d)*(1 + 0 + 0) in the form t*d + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*i + 618305, -3*f + i = -115116 - 255867. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0610081442 to six dps.\nAnswer: -0.061008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000011010 - -10001100?\nAnswer: -1100110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/30 + 58\/5. Is 13 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1 - 3) + (-2 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.7815 and -43227?\nAnswer: 43227.7815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -607, -1271, -2119?\nAnswer: -3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i - 1 - 27*i**2 + 7*i**3 + 29*i**2 - 4*i**3 + 3*i**4 + 0*i**3 - 5*i**3 as m*i**4 + n*i**3 + u*i + b*i**2 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yty when three letters picked without replacement from yyytt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47873718 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -62343 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 15*o**3 - 15*o**3 - 4 + (3 + 2*o - 3)*(-13 + 13 - 6*o**4).\nAnswer: -13*o**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43417 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1037 + 3*s**3 + 1037.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71\/33 - 629\/132. Calculate the common denominator of l and -97\/4422.\nAnswer: 8844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 549\/(-45))\/(-11 - 58\/(-5)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 45882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 - 7)\/9*(-5)\/2. Suppose 5*i - l*g = 679 + 3496, 0 = 2*i + 3*g - 1685. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.9 - 11.8. Let i = -0.2 + -0.3. What is the closest to p in 1, 2\/7, i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 3*v**2 + v + 1. Let o be h(-3). Let u = 4 + o. Suppose 0 = u*d - 0*d - 22. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -11. Solve 8*f - 3*x = 3*f + 2, 12 = -i*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -79*t**4\/12 + 997*t**3\/6 - 29*t - 43. What is the second derivative of d(m) wrt m?\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7418 divided by -2?\nAnswer: 3709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**3 + 15058*s**2 - 749150*s + 9348750 = 0?\nAnswer: 25, 7479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 162 (b) -9\/2 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 m when three letters picked without replacement from mgmmmmmmmgmgmmgmgm.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/12)\/((-8)\/84). What is the highest common divisor of f and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*n**2*o**3*r + n**2*o - n*o - 28*o**3*r + 18*o**3 - 52*o**2*r + 2*o**2 - o*r wrt o.\nAnswer: 42*n**2*r - 168*r + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*n + 30 = -w, 16 = w + 5*n. Let x = 0 + 1. Let k = w + x. What is the remainder when 13 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45.96 + 49. Let m = 3.0269 - r. What is m rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*d + 464. Suppose 4*a = 3*w + d, 2*w + 145 = 3*a - 28. Suppose 56*b + 112 - 724 = 4. What is the highest common factor of a and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*z - 68 = 143*z. Let a be 2 + 0 - 8\/(-16)*z. Let v = 1 - 1. Sort 5, a, -2, v in ascending order.\nAnswer: -2, v, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 - (-75)\/(-30). Let v be g*(-15)\/9 - 1. Suppose x = -v*j - 10 - 12, 3*x - 4*j = 14. Sort 0.2, 1, x in increasing order.\nAnswer: x, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n + 12. Let w be (19 - -1)\/((-3)\/n). Suppose 5*j = -0*j + w. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 7*o - 11. Suppose -3*c = -5*w - 43, 61 = 4*c - 4*w + 17. Let i be v(c). Let u = -11 + 11.5. What is the fourth smallest value in u, i, 0, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3730537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -4, 7, 4, 164 in decreasing order.\nAnswer: 164, 7, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*h - 74, -2*a + 5*h = -6*a + 270. Suppose 66 = 5*z - 4*k, -z + 0*k = -k - 14. What is the highest common factor of z and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/1209 and 79\/819.\nAnswer: 25389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/48*6768\/1974?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17061*r + 193*r**3 - 17065*r + 51186*r - 17060*r - 99*r**3 - 78*r**3.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/h**2)\/h)**(-27)*(h*h**(2\/7)*h)**(28\/3) assuming h is positive.\nAnswer: h**(145\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((24\/4)\/(-6)*12\/28)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2715 + 318 = 3*c. Suppose -c = 2*g - 4997. Suppose 233 - g = -4*k. What is k rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -245 in 5, 0.04, 30.923, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12112 and 1102839992?\nAnswer: 6056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o - 6 = 0. Suppose -5*j - 2*t + 21 = 0, j + o*t + 3*t - 18 = 0. Suppose -2*b = -2*q - 2*q - 6, 0 = j*b - 5*q - 14. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -4*v**3\/3 + 5*v**2\/2 - 5*v + 1. Let z(p) = 2*p**2 - 2*p + 2. Suppose 0 = -h - i - 2, -h + 4*i + 3 = 5. Give h*t(j) - 5*z(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - -17. Suppose -4*j + 0*a + 59 = a, -3*j = 4*a - p. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 138? (a) 33 (b) 1 (c) -107 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 35160*i + 35165.\nAnswer: -5*(i - 1)*(i + 7033)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6715 and 425?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*g - 454*g - 484*g - 46 - 226*g.\nAnswer: -880*g - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1426628 - -1350.\nAnswer: -1425278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 640*u**2 - 1283*u**2 - 6469*u + 644*u**2 as h*u + t + g*u**2 and give h.\nAnswer: -6469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 8*q + 848. Calculate the smallest common multiple of 32 and m(13).\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 902274009?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 13 = 4*m. Suppose 0 = 5*f - 59 + m. What is the second derivative of -f*o + 0*o**5 - 8*o - 3*o**5 wrt o?\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 4. Let v = 68 - 71. What is the smallest value in y, -1\/3, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11537, 23069, 34601, 46133?\n\"Answer: 11532*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 10 - 5 + 0*w - w**3. Let x be k(0). Let q(o) = o**2 - 5*o + x*o. Let g(c) = -2*c**2. Determine g(q(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 2878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 64*v**2 + 54*v + 410. What is k(63)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 23 = -w - 3*w, w + 2*c - 11 = 0. Suppose w*t = 132 + 38. Suppose -2*n - 4*h + 22 = 0, 3*n - t = -2*n - 3*h. Solve 0 = -n*d + 2*d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - -3)\/(-8) + 200\/2. Let u = p + -95. Let r be -3*(-20)\/(-12) + u. What is the biggest value in 2, 7, r?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 511, 697, 1205, 2197, 3835, 6281, 9697, 14245?\n\"Answer: 27*j**3 - j**2 + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1034301040 and -4.\nAnswer: -4137204160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 826 divided by -2?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1339 and 7709.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 5*z - 5. Let t be h(-4). Let a be 4 - t\/((-5)\/5). Solve 0 = -u + a*u + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 9 + -22 - 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4 - 46*z**3 + 42*z**2 + 846*z + 756 = 0.\nAnswer: -3, -1, 6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 20*b - 4. Determine t(4).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 6. Let h(c) = c + 1. Let x be h(4). Suppose 0 = -x*w - 0*w + 70. Solve 0 = k*t - w - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120022 (base 3) to base 15\nAnswer: -1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 157597.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 108\/(-154) - (-3)\/7. Let p = i - -23\/44. Let f = -1.018 - -0.118. Which is the nearest to -1? (a) p (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -9 - (0 + 5 + -21 + 20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, 95, -0.1, -4\/7, 0.0219?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*x + 873*x - 607 + 608.\nAnswer: 1019*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 10*r**2 + 53*r + 912. Calculate u(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -8. Let p be 16\/(-32) + -1 + 7\/3. Which is the third biggest value? (a) 0.3 (b) w (c) p (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - s + 61*l + 1444 = 529, 4*l + 52 = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/504 and -71\/4435473?\nAnswer: 106451352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/28 and -17\/49?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2 - 114*v\/5 + 44\/5 = 0.\nAnswer: 2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2028 divide 193878828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 350197643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f + 166 = -219 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21480533*l**3 + 3670923*l**2 + 1?\nAnswer: 128883198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4342228854?\nAnswer: 2, 3, 723704809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2781, 5554, 8321, 11082, 13837, 16586, 19329?\n\"Answer: -3*g**2 + 2782*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 9*x**2 - 6*x - 14. Let n be u(10). Suppose 0 = -n*s + 27 + 103. Solve -i = -s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k**3 + 2*k**2 + 1. Let g be z(-2). Let p = 89 + g. What is the remainder when p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -870681 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 2*b + 3. Let z(t) = 2*t**3 + 2*t + 2. Let o = 42 + -34. Suppose 3*m - 5*m - 40 = 0. Let n be (-24)\/m*20\/o. Calculate n*z(g) - 2*v(g).\nAnswer: 2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 119 = 755. List the prime factors of i.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - 61 - -17 - (-16 - (-3 + 1))) + -60.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22530201 (base 8) to base 14.\nAnswer: -915ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3. Let r(g) be the third derivative of 12*g**2 + 0 + 0*g + 1\/3*g**3 + 1\/24*g**4. Give 2*m(d) - 3*r(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-51))\/((-2)\/(-3)). Let x = 9\/68 - n. Let i = -24 + 24. Which is the closest to x? (a) 0.2 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 224*b**2 + 12534*b - 134. Calculate i(-115).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -196*g**5 + 445*g**4 - 445*g**4 + (4 - 4 - g)*(g**4 - g**4 + 2*g**4).\nAnswer: -198*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 6*c**2 - 4*c**2)*(2*c + c - 5*c)*(-1 + 35 + 15)*(3 + 2 + 0) + 40 - 40 - 3*c**3 + 5 - 5 + c**3.\nAnswer: 488*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249957\/3 less than or equal to 749985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gljldljlllg. Give prob of picking 1 j and 1 l.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24019 or -192145\/8?\nAnswer: -192145\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 228550 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -130576 - -107?\nAnswer: -130469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 144*z - 439. Let n(x) = -37*x + 110. Give 23*n(r) + 6*y(r).\nAnswer: 13*r - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 36*z**2 + 2*z - 1. Suppose 2*q - 2*k + 5 = 1, 7 = -5*q + 4*k. Does 12 divide b(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(3)*2*2 - (sqrt(48)*-3 + (sqrt(3) + -1*sqrt(432))**2).\nAnswer: -363 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 993469 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12e5 - -2c?\nAnswer: -12b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*l + 49560000, 10*n - 61950000 = 5*n - 3*l. Round n to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnv when four letters picked without replacement from nvnnvvnnnvnnnvvvvvv?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (13 + -21)) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtcb when four letters picked without replacement from mbbccbtbccmbcmbm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**3*t**3 - 2*k*t**3 + 18*k - 105*t**3 wrt k.\nAnswer: -3*k**2*t**3 - 2*t**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 133163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 6126 + 67764 - 1468. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 738*l - 742*l - 9916 = 0. Let u = l - -4395. What are the prime factors of u?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 526.865 + 1.135. Let a = 530 - u. Sort -0.01, a, 3\/5.\nAnswer: -0.01, 3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3 - 13628*d**2 + 929578*d + 8309840 = 0 for d.\nAnswer: -8, 77, 6745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 42*q - 162. Let w(l) = -23*l + 92. Let i(j) = 5*t(j) + 9*w(j). Let r = -12 - -2. Let p be i(r). Let y(v) = -v**2 - 11*v + 17. Give y(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 10:25 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7917 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -1\/5, 0, 18\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/3? (a) -0.06 (b) 0 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1, -0.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27 and -73.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 1062595?\nAnswer: 8500760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5404?\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6320 divided by -1580\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**3 + x**2 + 3*x - 2. Let w(o) = -4*o + 3*o + 2 - o + o. Let g be w(-6). Let y(v) = -14*v**3 + 2*v**2 + 8*v - 5. What is g*n(j) - 3*y(j)?\nAnswer: 2*j**3 + 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 29*d**2 - 16*d + 21. Determine o(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p**3 - 46\/5*p**4 + 6\/5*p**5 + 16\/5 + 4\/5*p - 18*p**2 = 0.\nAnswer: -1\/3, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000248587994 rounded to 6 dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from ususuusuuuu?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 7. Let c be r(7). Let o(q) = q**2 - 6*q + 6. What is the tens digit of o(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciiraigcrcrcaib. Give prob of sequence cci.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + (4 - (1 - -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 261498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = z. Suppose -24 - 32 = -z*g. Solve -3*j - 20 = -g*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 391650 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/287701 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -9. Let j be u\/6*12\/10. Suppose j*h - 22 = h. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761192*w - 380587*w - 380595*w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 16380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4\/3 + 90*l**3 - 908*l**2\/3 - 3680*l = 0.\nAnswer: -138, -5, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -565 + 377. Let h = -207 - u. Which is smaller: h or -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3240) - sqrt(3240)*-1)\/(sqrt(512)*2).\nAnswer: 9*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*c**3 - 54*c**3 - c + c.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/7 + -2 - -6*(-1479)\/(-17136). Let x(w) be the second derivative of o*w**5 + 0*w**2 + 0 + 0*w**3 + 35*w - 5\/12*w**4 - 1\/12*w**6. Factor x(j).\nAnswer: -5*j**2*(j - 2)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + u - 17 = 3*v, -3*u + 10 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2971698?\nAnswer: 2, 3, 223, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 2. Let r(c) = 7*c**2 + c + 3. What is -2*n(u) + r(u)?\nAnswer: 9*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 10*j + 73404 = 2*g, 0 = -3*g. Suppose 74*x - 70*x = j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-495)\/18*88\/(-121). Solve 5*m - 40 = -5*h, h - 5*h = m - k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10933540.\nAnswer: 2, 5, 546677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.86 times 0.58?\nAnswer: -0.4988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 290*h**4 - 1 + 272*h**4 + 259*h**4 - 5*h**2 as i + c*h**3 + r*h + u*h**2 + s*h**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 433 = -3*z + 344, 4*z = m - 199. Let o = m + -43. Is 38 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 396*h**2*z + 2*h**2 - 11*h*z**2 - 492 wrt z?\nAnswer: 396*h**2 - 22*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 76.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6165169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19187948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 262722934 to the power of 1\/2, to the nearest integer?\nAnswer: 16209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 7. Let a(s) = -s**2 + 128*s - 89. Let m(y) = -43*y + 30. Let n(g) = 2*a(g) + 7*m(g). Let i be n(-23). Give d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -5. Let z = -0.1 + p. Let m = 4 - z. Which is the second smallest value? (a) m (b) -1 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-3)\/6)*7826\/5031?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187574?\nAnswer: 2, 93787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 961.97 + 31.\nAnswer: 992.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.5 (b) 0 (c) -0.3 (d) 34.1 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427788 - 3*d**3 + 427788.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 106192396*q + 1409603121027602.\nAnswer: 2*(q - 26548099)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 74 + 3*n - 54 + 3*n**2. What is the hundreds digit of c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 137522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.99846 - 0.07454. What is c rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 356?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32202100 - 3?\nAnswer: 32202042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five eighths of a century?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/17))**(3\/40) assuming x is positive.\nAnswer: x**(9\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpkpbbkkbpkpppb. What is prob of sequence ppb?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Let w = 0.162 - -9.048. Let v = w + -9.71. Put 29, v, b in ascending order.\nAnswer: v, b, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 8*j - 2 - 190 = 204*r, j = -3*r + 2*j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/49)\/v*v**(-1\/9)*(((v\/(v*(v*(v\/v**1)\/v)\/v))\/v*v)\/v)\/v**(-2\/35))**16 assuming v is positive.\nAnswer: v**(-38624\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6902173.\nAnswer: 349, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 197 and 5576479?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, n: 3, t: 3, o: 1, i: 2, r: 4}. What is prob of sequence igt?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 - 37*d**3 + 3*d - 35*d**3 + 111*d**3 - 27*d**3 - d**2. Let g(p) = -25*p**3 + 7*p**2 - 5*p. Determine -4*g(l) - 7*s(l).\nAnswer: 16*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932886153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*x - 220 = 108, 3*m + 3*x = -222. Let d = -54 - m. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**2 + 11*y + 10. Let f be h(5). Which is the closest to f? (a) 1 (b) -0.3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -181 + 195. Let r be (-8)\/(-28)*c\/16. Factor -1\/4*y + 1\/2 - r*y**2.\nAnswer: -(y - 1)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6166200 and 382400.\nAnswer: 49329600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.562 * 64396.\nAnswer: -36190.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001330624 rounded to five dps?\nAnswer: -0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 155911891 and 959?\nAnswer: 1091383237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) + (-4)\/6. Suppose m = 3*d - r*d - 288, -500 = -5*d - 5*m. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 10:14 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2197 = -4*i + 21318, -12 = 3*i. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312 and 386696.\nAnswer: 15081144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 75 = 2*h. Let o = h - -156. Suppose -3*c + 12 = -o. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h. Suppose 0*n + 47 = 3*n + l, 4*l + 20 = n. Let i(x) = -x**2 + 16 - n. What is p(i(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3740 = -5*i, 5*i - 4*u - 3710 = -u. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 13. Let o be r(-7). Let g = 857\/4 + -216. What is the common denominator of (-99)\/o*14\/(-30) and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28919\/4 + 7229. Sort -599, x, 0.2 in ascending order.\nAnswer: -599, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 238, 525, 802, 1063, 1302, 1513, 1690, 1827?\n\"Answer: -m**3 + m**2 + 291*m - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/264108 and 53\/4?\nAnswer: 264108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {b: 3, j: 15}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 25 = 0, w = -p - 2*p - 10. Solve -10 = -2*y, -16 = 3*h - 3*y + w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-9) - 16\/(-24). Solve -u - 2 - 1 = t, n = -4*u + 2*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6487282?\nAnswer: 2, 167, 19423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 5*y + 8. Let l be 2 - ((-5)\/15 + (-16)\/6). Let a be v(l). Calculate the highest common factor of 408 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 6)\/((-30)\/(-12)) - 1. Which is the closest to -7? (a) -2 (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lddllsyyjd. Give prob of picking 1 y and 2 d.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336359223?\nAnswer: 3, 19, 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/17 and -44\/93?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.49 less than -427.93?\nAnswer: -415.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*u + 2*u - 15 = 0, -4*j - 5*u - 5 = 0. Let t(g) = -7*g**3 + j + 0 + 5*g**3. Let w(i) = -i**3 + 3. Give 3*t(f) - 5*w(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 207922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/6300 and -11\/1740.\nAnswer: 182700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - q = 427, 3*q + 123 + 212 = 4*f. Suppose 4*r - 18 = -2. Suppose 0 = -r*y + f - 10. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552765420 to the power of 1\/3, to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55 - 8c2?\nAnswer: -937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 453\/700?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3 = 4*f, -f - 2*f - 34 = -5*m. Let o = 27\/5 - m. Let i = 750\/11 - 68. What is the nearest to -1\/2 in o, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**3 + 3*m**2 - 1. Let a be b(1). What is the third smallest value in -1\/6, a, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, n: 7}. Give prob of sequence qnqq.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 148869 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122460 is divided by 3658.\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -3\/80*h**5 - 1\/24*h**3 + 2*h + 1\/16*h**4 + 1\/120*h**6 + 0 + 0*h**2. Factor f(s).\nAnswer: s*(s - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*h**3 + a*h + 459557*a + 7394379*h**2 - 2*h + 1 wrt h.\nAnswer: -6*a*h + 14788758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9526 + -9365. Calculate the remainder when y is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 - 1 - (1 - 2). Let n be 9\/21 - (-2293)\/7. Let h = n - 258. Calculate the highest common factor of v and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/59544078 and 31\/6?\nAnswer: 59544078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 81943.51ng?\nAnswer: 0.00000008194351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132 is divided by 377.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -5, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 0.34, 68?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 17 - 50 + 16 + 2*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 706*v**4 - 703*v**4 + 3*v**2 - 365*v - v**3 - 1 + 364*v as c + y*v**3 + b*v**4 + z*v**2 + f*v and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -15*z**2 + 27*z**2 - 16*z**2. Let k(y) = y - 150. Let x(t) = 3*t - 400. Let l(s) = 8*k(s) - 3*x(s). What is d(l(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(147) - (1*sqrt(75))**2.\nAnswer: -74 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 5*t**2 - 17. What is o(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5\/6, 0.2, -56, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*a + 18 = 0, 7 + 5 = 2*j - 5*a. Let p(q) = -j*q + 4*q - 6 + 6*q. Let s = -1 + 5. Calculate p(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2122344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:11 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = q + 20, 42*q - 20 = 46*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0 - ((7 - 7) + 13)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/9 - 346*l**3\/9 - 6490*l**2\/3 - 327214*l\/9 + 1643032\/9.\nAnswer: -2*(l - 4)*(l + 59)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 5. Let v(d) = d**2 - 4*d - 7. Let k be v(6). Let g be 4\/((-5)\/(k\/f)). Solve g*u + u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -180*h - 2695. Let c be f(-15). Solve c*b = 21*b - 80 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-six sevenths of a week?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 668103 in ascending order.\nAnswer: -5, 4, 668103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -331*p - 1 + 331*p - 1201*p**2 + 2 as c + k*p + s*p**2 and give s.\nAnswer: -1201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-741)\/(-2)*(87 + -85). Calculate the highest common divisor of n and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2\/3, -45\/17, -131, -3\/8 in ascending order.\nAnswer: -131, -45\/17, -3\/8, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = 13*y. Factor y + 1\/3*a - 1\/3*a**2.\nAnswer: -a*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4887\/49 and -101 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 2. Let g = t - -3. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**3\/6 + 3*r**2\/2 - 5*r - 6. Let n(w) be the first derivative of y(w). What is n(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38684.\nAnswer: 2, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64232339 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33203 + 11101?\nAnswer: 110310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 126 + 3?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*q**2 - 169*q + 1 + 169*q.\nAnswer: 55*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216405 is divided by 261?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 73892.\nAnswer: 3\/73892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965680?\nAnswer: 2, 5, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*u**2 + 3217*u**3 + 1 + 46*u**2 - 6433*u**3 + 3218*u**3 to x*u**2 + o + v*u + t*u**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8321*k + 374592. Calculate w(-45).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4031, 12941, 27797, 48599?\nAnswer: 75347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 43 = -h, -5*h + n + 3*n - 278 = 0. What is the third smallest value in h, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = 4*h, 5*b + 17 = h - 0*h. Suppose 3*i - 4*p = 14 + 14, 0 = -2*i - 2*p. Solve -4 - i = h*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 615 and 420?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + ((2 + sqrt(931) + sqrt(931) + -3)*3 + -5)*-3 + 3)**2.\nAnswer: -6048*sqrt(19) + 302217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 443*j**2 - 7*j - 1. What is the units digit of n(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*l - 3. Let d be (1\/3)\/(l\/(-9)). Which is smaller: d or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 315 and 0.02.\nAnswer: 315.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 381916961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 8319384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/(-56))\/((-1)\/(-528)*-2). Let v = n + -195. Calculate the least common multiple of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 5*o**2 - 5*o - 2. Let z be q(-4). Suppose 0 = z*a - a. Solve 6*l - l - 5 = a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 724*q**4 - 173716*q**2 + 60477740 wrt q.\nAnswer: 2896*q**3 - 347432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 5*b - 6. Let y be u(-7). Suppose -3*j + y*j = 25. Suppose r = j*x - 372, r = x - 86 + 10. What is the remainder when x is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167670668, -167670667, -167670666, -167670665, -167670664?\nAnswer: -167670663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 7) in base 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 + 17*z**3 - 90*z**2 + 108*z + 216.\nAnswer: -(z - 6)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(220\/(-8190)*-7 + (-2)\/18).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17089, -24398, -31707?\n\"Answer: -7309*l - 9780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2705 - 1?\nAnswer: -2706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*f**2 + 1 - 3)*(-18*f**3 + 6*f**3 + 8*f**3 + (0 + 0 - 2)*(-2*f**3 - f**3 + 4*f**3) + f**3 - 4*f**3 + 2*f**3).\nAnswer: 14*f**5 + 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*d**2 - 19 - 53*d**2 - 37*d**2 + 11*d**2 wrt d.\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6277, -12549, -18809, -25051, -31269, -37457?\nAnswer: -43609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 859 divide 23040957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 9:40 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1022718, 2045332, 3067944, 4090554, 5113162, 6135768?\n\"Answer: -r**2 + 1022617*r + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 123703028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k**3 + 3*k**2 + 48*k - 4. Let f(q) = 4*q**3 - 2*q**2 - 24*q + 2. Determine -5*f(b) - 3*m(b).\nAnswer: b**3 + b**2 - 24*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o + 3. Let u be a(0). Suppose 0*r + r + 13 = -5*j, 5*r + j - 7 = 0. Let s(z) = -2*z**2 - u*z**r + 0*z**2. Let v(m) = -m. Give s(v(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 23 = -5*m. Let w(d) = 2*d**2 - 9*d + 4. Let y be w(m). Suppose -2*p + y = 4*x, 5*x + 25 = p - 0*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -245042 * -2.\nAnswer: 490084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-23)\/(-4) + (-3)\/(-12) and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 10*g**2 + 13*g + 16. Suppose 0 = 2345*b - 2327*b + 198. Give w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36927.2288 - 37264.8. Let u = -401.57262 - q. Let m = 64 + u. What is m rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1014107382 to the nearest integer?\nAnswer: 31845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 17*l**4\/4 - l**3\/2 + 4*l**2 + 33*l - 1. What is the second derivative of z(h) wrt h?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 - 3*v**4 + 2*v**4)*(-3 + 4 - 32)*(-56 + 124 - 39).\nAnswer: -899*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (sqrt(209) - (sqrt(209) + (sqrt(209) - -1*sqrt(209))*-4)))\/(sqrt(11) + 2*sqrt(1331)).\nAnswer: 9*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 7*v + 4. Suppose 2 = 2*w + 16. Calculate k(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u = 0. Suppose 2*m + u + 2 = 0. Is m bigger than 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*g**2 - 46*g**2 - 28*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*q, 0 = -w + 5*q - 10 - 5. Suppose 2*k - 3*m = 224, -2*m + w*m - 111 = -k. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l - 7 + 23*l - 7.\nAnswer: 4*l - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1. Let n(x) = 2*x - 1. Suppose -5*y = -3*y - 6. Let a = y - 5. Give a*m(q) - n(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 + 2578*r**2 - 2577*r = 0.\nAnswer: 0, 1, 2577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**4\/6 + 4*s**3\/3 + 3*s**2\/2 + 8*s. Let t be o(-4). Let a be 2*(t\/2)\/1. Sort a, -3, 0 in descending order.\nAnswer: a, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9792505 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {g: 1, f: 1, x: 1, h: 2, e: 2, y: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1201222202202 (base 3) to base 11\nAnswer: -581a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 2*r - 5*r**2)*(-2*r + r + 0*r)*(197*r - 5440 + 5440) to the form d*r + t + o*r**2 + p*r**3 + g*r**4 and give g.\nAnswer: 985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.590417 litres?\nAnswer: 2590.417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 3 = 0, 2*j - 38 = 3*o - 33 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2253*z - 1120*z - 1121*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7317637 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: Round -3322165.59 to the nearest one thousand.\nAnswer: -3322000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - t = -3*t + 66, 5*t + 15 = 0. Let o(c) = 4*c - 8. Let x be o(6). Let p = x + -3. Calculate the remainder when s is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q + i = 4, q - 4*i - 17 = 0. Let f be -1 + 8 + 9\/q. Suppose 3 = -5*r + f*s + 72, -s - 14 = -r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*l = 33, -4*l - 9 = -l. Let i = -10 - b. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 55019610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p*p**(-3))\/p)))\/p)**(4\/3)\/((p**2\/p*p)\/p)**(-18) assuming p is positive.\nAnswer: p**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*v = 0, 4*v = -0*s + 2*s + 6. Sort -7, s, 2 in descending order.\nAnswer: 2, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149 is divided by 132?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/29? (a) -635\/2 (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 1\/3*d**3 + 25*d + 3*d**2 - 1\/12*d**4 + 0. Let o(k) = -k + 1. Let v be o(-4). Determine h(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2418\/(-21)*(9 - 16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - 10*q**2 - 13*q + 8. Let m be s(6). What is the units digit of 111\/m*(26\/6 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44376 + -44376.3. Let x = 2235\/11 + -203. What is the closest to -7 in x, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2374 + 2377. Solve -3*i - 13 = 5*a - 2*i, 0 = -p*a + i - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 + -131252?\nAnswer: -131330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 + 0*s**3 - s**3 + (s - s - 2*s**2)*(12*s + 2*s + 57*s) + (-2*s**3 + 4*s**3 + 0*s**3)*(-1 + 3 - 5) to y*s + v + a*s**3 + c*s**2 and give a.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*i - i - 10, -t + 5*i - 11 = 0. Suppose -w - 54 = -t*w. Let g = 17 - w. Which is the closest to 2\/7? (a) -2\/9 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85 or 755\/9?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4960\/18837 + -2\/819. Suppose -45 = -814*n + 809*n. Suppose -n = r - 10. Is a > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x**3 - x)*(4 - 5 + 5)*(2*x + x - 5*x)*(-5 + 4 - 8).\nAnswer: -144*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -20002001220110202?\nAnswer: -20002001220111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 j, and 2 u when four letters picked without replacement from ujgggygu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**3 + 5*n**3 + 8*n**3.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5700)\/5040 + 10\/(-315)*-36)\/((-2)\/(-3))?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 11154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*o - 425, -6 = 2*b - 4. Let t = -138 + o. Let p(m) = -2*m + 3. Calculate p(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7831510 (base 9) to base 4.\nAnswer: -100010220321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0)**(-2\/23)*((a*a*a**(2\/3))\/a)\/(a\/(a**1*a)*a*a))\/((a**(2\/7)\/a**(-2))\/(a\/(a**(-2\/5)\/a)*a*a**5)) assuming a is positive.\nAnswer: a**(16166\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 542567*g**2 + 91*g - 316608137 wrt g?\nAnswer: 1085134*g + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p**3 - 5*p**2 - 14*p - 34. Let h be v(-7). Let w = -1499 - h. Is -2*3\/(-2) + w + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -5*d - 9, -3*d = -1314*f + 657*f + 659*f + 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1000000011000010 (base 2) to base 16\nAnswer: 80c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 7*m - 1. Suppose -2*j - 12*s = -17*s - 48, 3*j = s + 72. What is the remainder when j is divided by c(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -0.3. Sort b, -0.1, -3 in decreasing order.\nAnswer: b, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.38 - -3.7. Let z = u - -13.98. Let p = z + -11. Which is the second biggest value? (a) p (b) 3\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2012, -1877, -1588, -1091, -332, 743, 2188, 4057?\n\"Answer: 9*s**3 + 23*s**2 + 3*s - 2047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 11b8?\nAnswer: -11b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8406390 divided by 1681278?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23079969 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 21*g**2 + 51*g - 128. Calculate t(23).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2660\/11 + 8035\/33. Let m(i) be the second derivative of 0 - x*i**3 + 0*i**2 + 5*i. What is m(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.85542695 to four dps.\nAnswer: -11.8554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhohqoohhuhyoqyhhhou. What is prob of picking 1 u and 2 h?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10913\/11 + 990. What is the common denominator of c and -11\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122110011110102 (base 3) in base 4?\nAnswer: 203120021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.44 + 1.3. Let r = y - -0.14. Is 13 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1965 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 1. Let o(g) = -16*g - 14. Let n(p) = 2*i(p) - o(p). Suppose 17 = 5*a + 3*m, 5*a + 6*m = m + 15. Does 21 divide n(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/165 or 0?\nAnswer: -14\/165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 + 11?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1131429 by -67.\nAnswer: 16887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(99)*4*-4)\/(-5*2*sqrt(9) + 1*sqrt(441) + sqrt(9)).\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7208885 and 0.4.\nAnswer: 7208885.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 0.3239.\nAnswer: 8.0975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 4 - (1 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2 - 6. Let j(d) = 10*d**2 - d + 13. Let x(u) = 6*j(u) + 13*o(u). What is the second derivative of x(m) wrt m?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 10 = -3*i, 0*i + 2*i = 3*p + 10. Solve -f = -2*f - 5*r - 17, i*r = f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648554783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {e: 1, t: 4, x: 5}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*5\/80 - (-2)\/8. Suppose p = 321*b - 323*b + 3242. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -26. Let t = 11 + -10. What is the remainder when g is divided by t*(4 - 8)*-4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 54*j + 2502. Is 9 a factor of c(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 164*z = -2*b - 15, 3*b - 19*z + 17*z = -9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - 9*i**2 - 12*i - 17. Let a be o(-9). What is a rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 5*v**2 + 1. Let q(z) = -5*z. Suppose 6*i = i + 25. Let k(w) = 6*w. Let h(a) = i*q(a) + 4*k(a). Let d be h(5). Give x(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -9*k**3 + 5*k**2 - 9*k + 5. Let c(q) = -91*q**3 + 55*q**2 - 91*q + 51. Give 2*c(a) - 21*s(a).\nAnswer: 7*a**3 + 5*a**2 + 7*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16909 is divided by 587.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3001927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.08557 to two decimal places.\nAnswer: 71.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42516452557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 4:58 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69 + 0*k - 140*k**2 + 228*k**2 + 257*k**2 + 219 + 2*k wrt k.\nAnswer: 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3133 - -3184. What is the remainder when 229 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - h + 8. Let j be u(-3). Suppose -35*x + 18 = -j*x. What are the prime factors of (-740)\/15*9\/x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+-7770878.831\nAnswer: -7770873.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24240 + -24237. Solve -4*g + 7 = m, -2*m + 5 = 2*g + v*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27914 - 23883 + 98267)*(k + k - 3*k) in the form z + p*k and give p.\nAnswer: -102298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*g - 1479, g + 0*g - 296 = f. Suppose -5*n + g - 52 = 2*p, -3*p = -12. Calculate the remainder when 185 is divided by n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 * -7385\nAnswer: 147700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211.3 take away 690848.87?\nAnswer: -692060.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -641.71 - -0.38?\nAnswer: -641.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00058476 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -485*s - 15588. Calculate c(-32).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(2880) + -3*sqrt(1872)*1 + -2 + 0)**2.\nAnswer: 863*sqrt(13)\/6 + 9684301\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164904.\nAnswer: 2, 3, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) -0.04 (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxxxxrrxxxryxxbyr. Give prob of picking 1 x and 1 o.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4 - 3561*h**3 - 323424*h**2 - 10152960*h - 107249664 = 0. Calculate h.\nAnswer: -1091, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-3)*q))\/(q*q\/(q*q\/(q**(2\/13)\/q*q))))\/(q**(-1\/6)\/q**(-2)) assuming q is positive.\nAnswer: q**(79\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*3*(9 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1104 - -1090.81. What is a rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 - 8*n**2 - 9*n. Calculate k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (0 - 13128\/(-40))\/((-12)\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194036 is divided by 231.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 9. Let w = -2726.6 - -2726.8. What is the second biggest value in w, 3\/5, -2\/17, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 2*m - 258036, 20*v + 154858 = 23*v - 4*m. What is the ten thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 410 + 12605?\nAnswer: 13215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + m - 6*m**2 + 418 - 138.\nAnswer: -6*m**2 + m + 280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, and 1 w when three letters picked without replacement from cfxmcxofccxwc?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1091 - 609\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 75.3?\nAnswer: 37.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 94 + 137. Suppose -5*k - 4*d = -581, -2*k + 0*k - 3*d = -t. Calculate the remainder when k is divided by -2 + 36 - 5\/(35\/28).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3*j**2 - j)*(28205*j**2 - 28205*j**2 - 1 + 29*j**3).\nAnswer: -87*j**5 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 18*j**2 - 8*j + 2. Let f(s) = -36*s**2 + 13*s - 4. Determine 3*f(y) + 5*z(y).\nAnswer: -18*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and -2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120745368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -41.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 43 - 39 + 86 + 2*h - 2*h.\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*o**6 - 2696*o**5 - o**2 + 45*o - 2 wrt o?\nAnswer: -840*o**3 - 161760*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (34\/2)\/(2\/4). Find the first derivative of -4*f**4 + 0*f**4 + 38 - c - 9*f**4 wrt f.\nAnswer: -52*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqslmem. What is prob of picking 1 m, 1 s, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -430 + 808. Calculate the greatest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42*s**2 - 22*s + 10830 wrt s?\nAnswer: 84*s - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + 4*c = -22*a - 20, -5*a = -2*c - 64. Solve 0 = 2*y + a - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218992618?\nAnswer: 2, 13, 31, 271703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23c42 (base 15) in base 7?\nAnswer: -653522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/12)\/(-13) - 391\/276\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4522421 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 491*g**4 - 5*g**3 - 4*g**2 + 2*g - 4788 wrt g?\nAnswer: 5892*g**2 - 30*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480*3.\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3 = -n. Let x(t) = -3*t - 4. Let c be x(n). Let f(s) = 10*s + 3. Is f(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 155 + 0 + (3 - -1). Let q = t - 93. Let z be 0\/(-1) - -5 - -1. What is the highest common factor of q and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-20))\/(104\/(-20))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 209\/4, 1, -3, -15, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 26 - 4*z + 14 - 4*z - z + 11*z**2 - 23. Let n(m) = 5*m**2 - 4*m + 9. Give -9*n(j) + 4*x(j).\nAnswer: -j**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 17) + (-34 + 4 - -37).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -2*f**3\/3 + 1. Let c = 2 - -1. Let u(z) = 106 - 106 + c*z. Give u(q(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -12*i - 5. Let c be t(-1). Is c bigger than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 5*m**2 - 3*m**2 + (4 - 1 - 1)*(-75*m + 75*m + 6*m**2) - m + 7*m**2 + m.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5535?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/5)*t)\/(t*t**8))\/(t*t\/t**(-4\/13)*t**(9\/4)) assuming t is positive.\nAnswer: t**(-3317\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*y - 28867 + 28828 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 49 - 17 - 29 - 25\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.16903 + 0.158. What is i rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 - 41232262?\nAnswer: -41232263.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3378, -6756, -10136, -13518, -16902, -20288, -23676?\n\"Answer: -t**2 - 3375*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, w: 1, v: 2, f: 1}. Give prob of sequence vqvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621*d**3 + 2492*d**3 - 621*d**3 - 622*d**3 - 627*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, r: 7}. Give prob of sequence rrzr.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 9*u + 17. Let z be j(-7). Solve 3*q - z = -0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -748 * 5.535.\nAnswer: -4140.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -347 - -556.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3719625 divided by -1\nAnswer: 3719625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124504.\nAnswer: 2, 79, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6053 - -0.7053. Let g be (-16)\/4*(-1)\/50. Which is smaller: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u. Suppose 2*i - 56 + 12 = u. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1032512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/3*(-1668)\/(-38920)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -4 (c) -3 (d) -83 (e) 7.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 19 = 4*g. Let l(r) = -r**3 - 3*r**3 + 5*r**g + r + 4*r. Let u(x) = -2*x. Let w be ((-2)\/(-1))\/((-2)\/5). Calculate w*u(m) - 2*l(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**7\/2940 - f**6\/840 - 107*f**4\/24 + 48*f**2. Let n(p) be the second derivative of t(p). Suppose n(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 10 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153 (base 11) to base 5.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 193, 401, 585, 733, 833, 873?\n\"Answer: -2*r**3 + 222*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 32302*x - 193781. Give p(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -116, -173, -230?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 52?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-12)\/16 - (2 + 140). Let c = 20 + k. Calculate the common denominator of (8\/(-74))\/((-7)\/(c\/2)) and 103\/6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332570 is divided by 76?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1\/6, -2\/5, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -17. Let u be 10\/35 - (-30)\/v. Sort 3, 4, u in increasing order.\nAnswer: u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8*g**3 - 454*g**2 - 116*g + 113. Give w(57).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x + 57*x - 3*x**3 - 24*x - 19*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (266\/35 - 8)\/((-1)\/(-5)). What is the closest to -3 in v, -6\/5, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -15*u + 75. Let r be c(5). Let 0 + 1\/2*q**2 + r*q = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 3 + 3)*(2*g**2 + g**2 - 2*g**2) + (33*g**5 - 118*g**5 - 67*g**5)*(-2 + 4 + 3) + 2*g**5 + g**5 - g**5 - g**5 + g**3 - g**3.\nAnswer: -760*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5\/8 - 121*t**4\/4 - t**3\/4 + 121*t**2\/2 + t\/8 - 121\/4 = 0. What is t?\nAnswer: -1, 1, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*r - 4*b, 5*b + 31 = 4*r + 2*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1775734?\nAnswer: 2, 887867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -14*h**2 + 25*h + 17. Let j = -355 + 353. Let y(s) = 3*s**2 - 6*s - 4. Let l(d) = j*z(d) - 9*y(d). Calculate l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0*u**2 + 95 + 2*u**2 + 98 - 193. Let c(j) = -16*j**2 - 1. Calculate r(c(t)).\nAnswer: 512*t**4 + 64*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + b - 1. Let d be v(1). Let a = d + 1. What is the least common multiple of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrccrrrrrc. Give prob of sequence cr.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(3)*-3))\/(sqrt(11) - ((sqrt(55)*3)\/sqrt(5) - sqrt(11))).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 6) + 4 - -3 - 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -44347090 to the nearest one hundred thousand.\nAnswer: -44300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 4)*(17 + 2 - 10)*(-117*k - 3*k - 6*k) in the form w + p*k and give p.\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1 - (-1)\/1. Let y(d) = d + 1 + 3 - 3 + n*d. What is y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-13)\/((-364)\/98)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2484678 and 2954.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 3 - 5 - 3)*(q - 6*q + 0*q).\nAnswer: 70*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1879367 or 1879368?\nAnswer: 1879368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*r + 3*d, -5*r = d - 0*d + 46. Let z = r + 6. Let t be (z - -4) + -2 + 3. Which is smaller: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -47. Let h = x + 33. What is the remainder when 33 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(176) + 4 + sqrt(176) + -2*sqrt(176) + 1 + -4 + 0)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(320))\/(sqrt(490) + (-2*sqrt(490) - sqrt(490))) + -2 + 5.\nAnswer: -4*sqrt(2)\/7 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.2, -2\/129, -17, -2.2, 4?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + -2 + -6*(1 + 3 + -2*sqrt(2299) + -1 + -5).\nAnswer: 6 + 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1307*k**3*w - 280*k**2*w**2 - 2759*k*w**2 + k*w + 3*w**2 + 9*w wrt k.\nAnswer: -7842*k*w - 560*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 93*q**2 - 7226*q + 672014. Calculate f(93).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7434\/(-882) + 6\/14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/43))**6)**(1\/8) assuming f is positive.\nAnswer: f**(3\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 less than 7.3?\nAnswer: -87.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 657576, 2631245, 5920692, 10525917, 16446920, 23683701, 32236260?\n\"Answer: 657889*h**2 + 2*h - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + -48508\nAnswer: -48507.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4 + sqrt(112) + -3 + sqrt(112))**2 + sqrt(112)) - ((sqrt(112) + -1*sqrt(112))*4 - (2 + sqrt(112) + sqrt(112) + -4)**2).\nAnswer: 48*sqrt(7) + 2248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q**2 + 4297276*q**3 - 4297287*q**3 - 24*q**2.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 14139007*o**2 - 49977985778896*o - 749666605410240.\nAnswer: -(o + 15)*(o + 7069496)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -28*t + 26. Give k(3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22240 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -33*d + 13. Is k(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1380 and 103525185?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 + -83.9. Which is the nearest to n? (a) -0.3 (b) -3\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 + 5. Let u(o) = 9*o**2 - 8296 + 8290 - 3*o**2 + 2*o - 2*o. Give 4*u(f) + 5*z(f).\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -902 - -903. Let w = 5 + 0. Let s = 1.4 + -1.5. Which is the biggest value? (a) q (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 6.49?\nAnswer: 1.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l*o**2*s - 6*l*o*s - 8*l*o + 8*o**2*s - 2*s + 81 wrt l?\nAnswer: 2*o**2*s - 6*o*s - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 340 - 340. Let v(t) = -7*t**3 + t**2. Let h be v(1). What is the closest to 1 in h, 2\/23, u?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + (26 - 88) + (-17 - -5 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 230\/(-55) - -4 - 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thz when three letters picked without replacement from {t: 4, z: 2, h: 1, a: 4}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 3*c**2 + 0*c**2)*(3 - 5 - 6) + (-19 - 5*c**2 + 19)*(0 + 1 - 3).\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 866895 and 1305.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 3:09 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -1 - -10)\/2. Suppose 9*x = 11*x - 4. Solve -6*j + x*r + 30 = -2*j, 2*j + y = -3*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4*c - c)*(-5*c**2 + 3*c**2 + 4*c**2) - 111*c**3 + 160*c**3 - 129*c**3.\nAnswer: -84*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.8112 - 0.4?\nAnswer: -24.2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*210\/15. Suppose -4*c + s*c + k - 32 = 0, 5*k = -3*c + 52. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-282)\/4)\/((8424\/(-156))\/108)\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-240)\/(-208) + (-3)\/(117\/6). Let i = -704.8 - -705. Which is the nearest to n? (a) -9 (b) 3\/2 (c) 0 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217274262?\nAnswer: 2, 3, 36212377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129468872 by 4.\nAnswer: -32367218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n**3 - n**2 + n + 2. Let j(i) = 844*i**3 + 5*i**2 - 5*i + 458. Let w(m) = -j(m) - 5*o(m). Find the first derivative of w(v) wrt v.\nAnswer: -2442*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5089.9895 - 5090. Is -13 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -49.99976. What is v rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -16630?\nAnswer: 16615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/18108990 and 32\/7.\nAnswer: 126762930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26910.8000178551 - 0.2.\nAnswer: -26911.0000178551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147 + 287. Let s = 117.9 - p. Let q = 23 + s. Round q to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.3 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (126 - -18434)\/145 - 137\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 15 = -3*r. Suppose -p - 31 = 5*l - 3*p, r*p = 2*l + 25. Sort 2, -2, l in decreasing order.\nAnswer: 2, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**6\/24 - 7*y**5\/2 - 175*y**4\/24 + 205*y**3 - 1875*y**2 - 3. Factor j(x).\nAnswer: -5*(x - 2)*(x + 3)*(x + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 7:34 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-63)\/6*(-8)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.5989 to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5\/4 - 5247*b**4\/2 + 295959*b**3\/4 - 396675*b**2\/2 = 0. What is b?\nAnswer: -3526, 0, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3102545616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*m, -4*m = -5*b - 3*m + 62. Solve -b = -3*p + 3*g + g, -2*p + 12 = -4*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/(-14) + -5 + 8)\/((-6)\/(-360)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -37. Let h(p) = -p**2 + 11*p + 17. Let a be h(r). Sort -8, 0.3, a.\nAnswer: -8, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2\/551, 1?\nAnswer: -2\/551","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4931 is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-459405)\/112299*(-44)\/78?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*p - 151295 = -151295 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z + 103. What is q(-14)?\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2081 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10101*m - 5060*m = 5348*m - 25174 for m.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000101 - -11100101?\nAnswer: 10000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**2 - 110*b - 115 = 0. Calculate b.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dft when three letters picked without replacement from {t: 1, d: 1, i: 1, f: 1, a: 4}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v - v)*(-2*v**2 - 3*v**2 + 0*v**2) + (6*v - 2*v + 0*v)*(-14*v**2 - 54*v + 54*v).\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 5*g**2 - g + 6. Let u be -3 - (0 + (-7 - -1)). Suppose 12 = u*d - 6*d. Let z be y(d). Which is bigger: -24\/5 or z?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.1, 18, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156.979l to millilitres.\nAnswer: 156979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 636.\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25517.8859 + 25521. What is f rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2 - 17*r - 6. Let n(g) = -10*g**2 - 34*g - 14. Give 3*n(f) - 7*x(f).\nAnswer: 5*f**2 + 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, 0.2, 5, 3\/7, -3\/2098?\nAnswer: -3\/2098","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 14844.8469?\nAnswer: 14849.8469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, b: 4, i: 2}. What is prob of sequence bv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 566 = -431 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 10*c - 5. Determine l(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.73 - 0. Round t to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 95*p + 1743*p**2 - 117*p + 22*p + (-4*p**2 + 2*p**2 + 0*p**2)*(-2 + 7 - 3) - 6*p**2 - 31 + 31.\nAnswer: 1733*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + 0.02. What is the nearest to -2 in -4, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -40*r + 92. What is the greatest common divisor of r and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1781*m + 16 - 16 - 301*m)*(-1 - 2 + 6).\nAnswer: 4440*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*s + 5*y, -5*s + 69 = 5*y - 1. Calculate the remainder when 49 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -6 (c) -293850 (d) 0.5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3594, 3474, 3150, 2520, 1482, -66?\n\"Answer: -17*u**3 - u + 3612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.5 + 515.\nAnswer: 520.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 6:11 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1445*t**2 + 725*t**2 + 962*t**2)*(1 - 14 - 2).\nAnswer: -3630*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 165264836 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 763*w - 63. Is l(34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*d + 52*d = -5056. Calculate the greatest common factor of 17408 and d.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 322 + -322.4. What is the third biggest value in o, -0.036, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjww when four letters picked without replacement from {f: 2, b: 2, e: 5, w: 3, j: 6}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1456*y. Let k(i) = -i. What is k(q(c))?\nAnswer: -1456*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 99 = 5*g. Let r(z) = 2*z**2 - 14*z + 16. Let n be (1 + 7)*(0 - -1). Calculate the remainder when r(n) is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.3599 rounded to one dp?\nAnswer: -173.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -27 + 8 + (10 - 20)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*((-32)\/10)\/2. Let n(g) be the third derivative of -g**5\/30 + 11*g**4\/24 + g**3\/2 + 74*g**2. Determine n(s).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47142 and 1916298?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 35264.\nAnswer: 3\/35264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 3:18 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a millennium?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 0.0677 (c) -4 (d) -0.1 (e) 1\/4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 3*a + 3. Let v be w(-2). Let c be 3\/v*(-6)\/12. Sort c, -1, 2 in ascending order.\nAnswer: c, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 4*i - 30. Let h be z(-8). Let a(l) = l**2 + 6*l + 3. Let j be a(-7). Solve 11*f = j*f + h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 38. Let w(a) = a - 3. Let m = 11 - 8. Let p be w(m). Solve 7 - i = -b - s, p = s - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 457 = 121. Let b be 210\/224*(q\/9 - 3). Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -16 + 7 + 4 + -5. Suppose -i = -2, 3*s - s - 54 = 4*i. Let b = u + s. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 2*1497\/6. Suppose -5*j + q = -1592. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -2.07 (b) -0.5 (c) 1\/5 (d) 0 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 4*u + 1. Let k be o(-3). Suppose 3*y + 12 = 15. Let l be ((2\/y)\/k)\/1. Which is smaller: l or 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -13 - (3 - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4268 + 31328 = 1230*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 346895 (b) 0 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 308\/8)*(-1)\/(-3)*530082\/(-63105).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7982788 - -9.93116.\nAnswer: 7982797.93116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + ((sqrt(133)*-1 - sqrt(133) - sqrt(133))*2 + sqrt(133) - sqrt(133)))\/(sqrt(7)*3*-1).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.4 + 0.6. Let k = 5490.5 - 5491. Which is the biggest value? (a) j (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6041 to 2 dps.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4905 + -4912. Let m = 1614\/7 - 230. What is the smallest value in -0.6, q, 2\/9, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000001100000000 (base 2) to base 11.\nAnswer: 23218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -13*x - 24 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**3 - 5*q**2 - 7*q + 5. Let f(p) = -p**3 - p. Let z(g) = 5*f(g) - y(g). Let x be z(-4). Solve -2*s = -x*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 18 = 3*j. Calculate the common denominator of 6\/11*(-39)\/j and 2\/(-1) - 326\/(-12).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84424 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -31560 divided by 6\nAnswer: -5260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 87531 in decreasing order.\nAnswer: 87531, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 65436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123140 and 60.\nAnswer: 369420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 72.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 969.0605 to the nearest ten.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 0.1 (b) -1\/6 (c) -4\/7 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.85 - 6?\nAnswer: -101.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*v = 39131 - 123656, -4*r = -3*v - 67627. List the prime factors of r.\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (6 - (3 + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 152947\/31416 + -749\/187. What is the common denominator of k and 53\/84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 328.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 9 = -11, -4*h = -5*k + 12. Factor 7\/3*t**4 - 2\/3*t + 11\/3*t**h + 0 - 16\/3*t**3.\nAnswer: t*(t - 1)**2*(7*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -22, -19, -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5789.646nm to millimeters.\nAnswer: 0.005789646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1961, -1957, -1953, -1949, -1945, -1941?\nAnswer: -1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05, -438\/13, 1228, 1\/4, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 2:04 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.1. Let u = -0.1 + 0. Let k = -2.1 - -3.1. What is the nearest to k in 3\/7, p, u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 7 + -4 + 2 + 14. Suppose -71 - 89 = -w*h. Solve -5*f = -2*p + 33, 0*f = 2*f + h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 1. Let k(d) = -17*d + 2. Let z(p) = 5*a(p) - k(p). Let g be z(1). Solve 2*l = 4*s - 20, 5*s - 5*l = -4*l + g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**3 + 1184*l**2 + 1587*l - 2178. Determine j(396).\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 919888 by -57493.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*p - 10. Suppose v + p*v - 9 = 0. Suppose q + v*q - 92 = 0. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11594 - 3?\nAnswer: 11591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39815, -79530, -119245, -158960?\nAnswer: -198675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 1, l: 1, s: 2, t: 2}. What is prob of sequence tt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 55) + 58 - 48?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0 + 1\/2*m**4 + 1\/20*m**5 + m - 3\/2*m**3 + 7\/2*m**2. Let g be j(-7). What is the highest common divisor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2667843762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85246374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -25, 305, 943, 1991, 3551, 5725, 8615?\nAnswer: 12323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**6)\/w*w\/((w*w*w**23*w)\/w)*w)\/(w**(-1\/13)\/w)**(-2\/13) assuming w is positive.\nAnswer: w**(-4929\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 + 20*n - 19 = 0. What is n?\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**5\/30 - 3*y**4\/2 + 53*y**3\/6 - 1180*y**2. Calculate d(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 2*f - 4 = -4*d, 0 = -5*d + 4*f - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65547 is divided by 146.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by 7?\nAnswer: -79\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 223400 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144169595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 66*q - 148. Is 46 - 0\/(-4)*q\/8 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5411 - 2?\nAnswer: 5408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10958\/3 + -10957\/3. Sort 4, 3\/2, 1, v, -16 in decreasing order.\nAnswer: 4, 3\/2, 1, v, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5 = 4*z, -3*d - z = z - 5. Suppose d*x - 24 = x. Calculate the greatest common factor of x and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2 + 6970*a - 14129*a + 4 + 6960*a + 1. Let o(m) = 3*m**2. What is o(r(d))?\nAnswer: 118803*d**2 - 3582*d + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -20\/7, -1\/4 in decreasing order.\nAnswer: -1\/4, -1\/3, -20\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 898719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -28088 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*u**2 + 1\/2*u**3 + u + 0.\nAnswer: u*(u - 2)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 63, -3, -1.2, 2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 436 - 2173?\nAnswer: -1535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c - 3. Suppose -29*l + 2104 + 1753 = 0. Let i be (-15)\/21*-3 - 19\/l. What is h(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x = -4*x - 4536. Let s = -154 - x. Suppose 0 = z - 22 - 8. What is the remainder when z is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-868)\/(-155)*(-20)\/(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(15) - sqrt(240))*-3)\/(-3*(sqrt(5) - (sqrt(5) + (sqrt(50)\/sqrt(10) - sqrt(5) - sqrt(5))))))**2 + 5 + 5 + 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t + 12. Calculate d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.36 + -25.36. What is the nearest to -0.2 in 0.2, -3\/4, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-3) + (-15)\/(-5). Calculate the highest common divisor of 143 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -21 + 17 - 2307*2. Let z = 9755 + n. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**7*v)**10\/(v**15*v*v)**(-21\/2) assuming v is positive.\nAnswer: v**(537\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 213833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b. Let t be (-4 + 4)*-1 - 1. Calculate f(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 48, 4*x + 2*i - 80 = i - 64 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-36))\/((2\/16)\/((-288)\/(-5888)))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4522)\/399 + (22\/1)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/28)\/(0 - (-1)\/7). Suppose -3*p - 1686 = -3*d, 1676 = x*d + d - p. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1*2\/(-2))\/7)\/(840\/2205)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 - 2327 - 2469 = 929*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6697*c - 1504*c + 1931*c to q + x*c and give x.\nAnswer: -6270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**3 + 1180*p - 4*p**3 + 3*p**2 + 3*p**3 - 1180*p.\nAnswer: -17*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*a + 4, 0 = -a - 4*a - 4*s + 18. Suppose -4*i - 58 = -x, -a*i + 3*x - 9 = -i. Let t = 34 + i. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 187118380 or 187118378?\nAnswer: 187118378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 7*h**5\/5 - 11*h**2\/2 - 7. What is the second derivative of l(i) wrt i?\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 46\/17 (b) 2\/9 (c) -0.2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 6*u**2 + u + 11. Let i be f(-6). Suppose 3*y - 22 + 1 = 0. Let g = y - i. What is the lowest common multiple of g and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 9*d + 10. Determine z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -n, -2*n - 164 = -3*k + 53. What is the second derivative of 2*q**4 - k*q**5 - 173*q + 241*q - 2*q**4 wrt q?\nAnswer: -1460*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -11\/4 (b) -113 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 24*b**2 - 31*b + 54. Let t = -76 - -98. Is 34 a factor of x(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644372.\nAnswer: 2, 161093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-607 + 43 - 47)*((-1 + 3 - 3)*(-3 - 2*w + 3) - 4*w + w + 5*w) to x + y*w and give y.\nAnswer: -2444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -7. Suppose -6 = 4*q + 3*h, -z*q + 2 = -2*h - 2. Let d = 2 - 3. Which is greater: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - 3*y + 0*y + (y + 0*y - 2*y)*(3 - 1 - 1) + 3*y - 4*y - y + (1 - 2 + 2)*(0 + 0 - 23*y) - 105*y + 61*y + 70*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 8 + 4 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 + (-43234)\/12. Let h be (7370\/(-36))\/(91\/1599). Let r = h - x. Find the common denominator of r and 73\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 134003, 134074, 134145, 134216?\n\"Answer: 71*n + 133932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (8 - (-2 - 1) - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1550 - 5?\nAnswer: -1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6174244 - -17560345. Let d = 7026101 - t. Round d to the nearest 100000.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -191*h**3 + 12*h**2 + 2*h + 13528 with respect to h.\nAnswer: -573*h**2 + 24*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (57\/6)\/(2\/4). Let p be ((y + 0)\/1)\/1. Solve -5*o - 1 = p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 9\/(-2) + (-48)\/32. Let w(c) = -3*c**2 - 13*c + 14. Let l be w(q). Solve -u + 2*x = -6 - 5, -l*u + 24 = -3*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -194556, -389111, -583666, -778221, -972776?\n\"Answer: -194555*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.56 times -11?\nAnswer: 28.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*g - 92*g - 52*g)*(5*g + 0*g - 3*g)*((-2 + 1 + 0)*(4 + 2*g - 4) + 3 - 3 - 3*g - 2*g + 2*g - 2*g).\nAnswer: 2884*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 4*m + 2*m**3 + (-7 + 1 + 3)*(-3*m**3 + 4*m**3 + 0*m**3).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + d. Let l(v) = -v + 4. Let s be l(0). Let o = s - d. Which is bigger: 3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 17 = w, 0 = -4*b + w + 1 + 6. Solve 5*q = -b*i + i + 5, -5 = -4*i - 5*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61694726851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -1125*m + 1118*m - 25, 0 = p - 5*m - 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = 4. Suppose 12 = 3*o - 3*b, -5*b - 18 = 2*o + 2. What is the nearest to o in x, 2\/11, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zadsq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2841, 242, -5 in decreasing order.\nAnswer: 242, -5, -2841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyx when three letters picked without replacement from {i: 1, p: 1, y: 1, x: 1, h: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 13*s**2 + 7*s + 3. Suppose -u = -3*d - 8, -12*u + 3*d = -8*u - 14. What is the units digit of w(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10121 - 425063\/42. What is the common denominator of x and 13\/(-14)*-5 - (4 - 3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 231\/1936 + (-10)\/(-160). What is the closest to 0 in -1\/2, 2\/5, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -197*x**4 + 50*x**4 - 150 - 395*x**4 - 89 - 66 wrt x.\nAnswer: -2168*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 s when three letters picked without replacement from {d: 12, s: 1, b: 1}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/13 - 256*x**3\/13 - 298*x**2\/13 + 5160*x\/13 = 0. What is x?\nAnswer: -5, 0, 4, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j - 528. Let z be m(-58). Sort 9, 4, z.\nAnswer: z, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + 9. Suppose b = 7*n - 48. What is the remainder when 46 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -8?\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 9. Let a = -38 - -63. Suppose 2*q + y = 8, q + 4*y - 12 = -3*q. Solve 0*s = -v*d - q*s - a, 4*d - s - 5 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -24. Let p = -24 - r. Sort -2, p, 3, -1 in ascending order.\nAnswer: -2, -1, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 149394434568 and 0.1?\nAnswer: 149394434567.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*h**2 - 2*h - 61*h**2 + 7*h - 9*h - h.\nAnswer: -159*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -310.53 + 313. Let y = 400 + -399.25. Let b = y + x. What is b rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99198852737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from {y: 2, p: 1, v: 2, q: 2, k: 4, a: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.7. Let n = -11.82 - 0.18. Let v = 12.1 + n. What is the closest to v in -0.4, 5, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 8*l - 10. Let n be i(6). Calculate the remainder when 32 is divided by (-27)\/n*(-6)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Let o = -3\/73288 - 36635\/219864. Let n = 7 - 6.7. Put k, n, o in decreasing order.\nAnswer: k, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*y + 178, 24 = y - 4*d - 26. Suppose 3*m + 4*w - 783 = 342, 1545 = 5*m - 30*w. Calculate the greatest common factor of y and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from rlrkaukllrlarll?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 5*j - 5. Suppose -67*v = -61*v - 168. Calculate the remainder when (1\/j + -335)\/(-2) is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972048 - (-166)\/(-249)*21\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:44 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.942 rounded to 1 decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 99\/(-66)*((-4)\/5)\/((-18)\/255)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1121*x - 1274 wrt x?\nAnswer: 1121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 + 2 + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/6 + 6 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -25, 0, -14 in ascending order.\nAnswer: -25, -14, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t*(t*t**0)\/t)**(2\/29) assuming t is positive.\nAnswer: t**(2\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6374647 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -2285\nAnswer: 11425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epfz when four letters picked without replacement from {f: 4, w: 1, z: 1, p: 1, e: 2}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - 68. Solve 3*q - q + 21 = 3*i, -h = -2*i - q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.645 (b) 166637 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1980810 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 341 - 542. Let z = n + 200.759. Round z to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + j**2 + j + 1. Let r(p) = 5*p**3 - 12*p**2 - p - 9. Let g(f) = 6*l(f) + r(f). List the prime factors of g(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -197, -1835, -6287, -14963, -29273?\n\"Answer: -235*p**3 + 3*p**2 - 2*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16334575.\nAnswer: 5, 37, 17659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g - 3. Let c(t) = 5*t + 4. What is 4*c(i) + 5*j(i)?\nAnswer: -5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -362, -362, -364, -368?\n\"Answer: -c**2 + 3*c - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 o when four letters picked without replacement from {a: 15, o: 4}?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13925*n**3 - 2053050 wrt n?\nAnswer: -41775*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, b: 2, m: 6}. Give prob of picking 3 s and 1 b.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5 + 427*t**4 - 14389*t**3 - 57447*t**2 - 43216*t + 21316 = 0. Calculate t.\nAnswer: -2, 1\/3, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*o - 5*o + 290, -3*y - 4*o = -871. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 369, 1368, 3035, 5370, 8373, 12044?\n\"Answer: 334*r**2 - 3*r + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*((m\/((m*m**(2\/7))\/m*m))\/m*m)\/m)\/m)**(-37)\/(m**4*m**(-3\/5)) assuming m is positive.\nAnswer: m**(251\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 - 51*a + 3. Let m be y(10). Let c(d) = -d**2 - 9*d. Give c(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*j + 468 - 264 = -489 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21669 and 28659.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 2*p - 12. Give v(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/4*(3248\/(-140))\/(-29)*(-528)\/8.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -830 less than -212?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/(-52) + (-918)\/(-1989).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 3, -0.08, -29, 8, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.41 (c) -2\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -4. Let y(i) = i**2 - 5*i. Let z be y(x). Solve -3*t - 2*t = z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098 is divided by 1011.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31421 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1 + 3*z**3 - 9*z**3 + 4*z**3 + z**3 + 4*z**2 + 5. Let f(o) = -3*o**3 + 11*o**2 + 11. What is -4*f(k) + 11*r(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**4 + 3*x**4 - 3*x**4 + (2*x**3 - 5*x**3 + x**3)*(-7*x + 18*x + 10*x) in the form q*x**3 + i*x**4 + c*x**2 + b*x + r and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -19*h**4\/18 + 46*h**3\/27 + 11*h**2\/9 - 10*h\/3 - 10585. Factor n(g).\nAnswer: -2*(g - 1)**2*(19*g + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 4*v**2 - 3*v + 16. What are the prime factors of g(11)?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1.8. Suppose 3*j + 52 = u + 2*j, -2*j + 4 = 0. Let r be 22\/(-30) - (-18)\/u. Which is the smallest value? (a) r (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/6341 + -627779\/63410. Find the common denominator of n and -50\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lklett. What is prob of sequence let?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -158*p + 57*p**2 + 425*p - 2*p**3 - 270*p - 2*p**3 as q*p**2 + n*p**3 + w + o*p and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 33 and -237.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 1. Let o(s) = 12*s - 11. Let a = -33 + 177. Let l be (((-10)\/6)\/5)\/(8\/a). Determine l*o(y) - 66*j(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 < -91\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/(5*(-12)\/(-50)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 12*o**2 + 6*o - 16. Determine m(12).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*6\/(-81)*(-56)\/((-13888)\/93)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41545.1nm in centimeters?\nAnswer: 0.00415451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3 - 1380*s**2 - 36537*s + 78570 = 0.\nAnswer: -27, 2, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -1 - 0. Let h = -1.018 - -0.018. Which is greater: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(209)*1*-5 - sqrt(209))\/(sqrt(33)\/sqrt(3)*-4).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -22) + (-13 - 18).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -532317, -1064638, -1596951, -2129250, -2661529, -3193782, -3726003, -4258186?\nAnswer: -4790325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**23)\/((x\/x**(-2\/75)*x)\/x))\/(x**(-10)*x*x*x**(-15\/7)*x*x))**23 assuming x is positive.\nAnswer: x**(-179722\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199195 is divided by 66194?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.053.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 - 3*u - 6. Let w(h) = 2*h**2 - 2*h - 5. Suppose -6*l = -5*l + 26*l + 135. What is l*b(k) + 6*w(k)?\nAnswer: -3*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*q**2 + 614*q**2 + 90*q**2 + 249*q**2.\nAnswer: 843*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*v - 8*v + 14*v)*(-3 + 0 + 1)*(-37 + 37 - 13*v**2)*(-3*v**2 - 3*v**2 + 4*v**2).\nAnswer: 1768*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-6))\/2*96\/(464\/(-29)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(78075\/18 + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -148.7295 in -3, -0.4, 0.3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17333 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 2. Let f be y(6). Let h be ((-1)\/f)\/((-7)\/(-140)). Suppose h*a + 2*l + 0*l - 76 = 0, -56 = -4*a - 4*l. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*a = -g - 24, 22 = 2*g - 4*a. Let x = g - 2. Calculate the common denominator of -79\/12 and 4\/(24\/119) - x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*c**4 + 2*c**2 - 24*c + 28768.\nAnswer: 88*c**3 + 4*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 6*w + 6. Let v be k(6). Let t(d) = d**2 - d. Let r(o) = 5*o**2 + 6. Let q(u) = r(u) - 6*t(u). Determine q(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*u + 1. Let c be -3*u*(-1)\/2. Differentiate 0*y**3 - 2*y**c - 2 + 3*y**3 wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 7:36 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9 + 2*t**2 + 5*t**2 - 7*t**2 - 2*t**2 wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/67703 and 29\/4.\nAnswer: 270812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 90*i = 85*i - 36, 3*s + 30 = 3*i - 7*i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -99.394 * -0.05\nAnswer: 4.9697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -422\/5 <= -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.00545 - -0.1922. What is p rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 4*p**2 - 209*p + 275. Let b be a(16). Let c = -1 + 6. Solve j + c*w - 12 = -0*j, -8 = -b*j - w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16108\/(-6))\/(228\/(-342)).\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 540403?\nAnswer: -21616.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 5*a**2 - a**2)*(0 - 7 + 2 + (2 + 2 - 2)*(-6 + 2 + 2)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*j**3*r + 376*j**2*r - 4*j**2 + 5*j*r + 5*j - 761 wrt j.\nAnswer: -762*j*r + 752*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/95 (b) -0.3 (c) 0.6 (d) 1 (e) 2\/3 (f) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1801 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*c - 19, 5*o - 6 = -4*c + 25. Suppose -o*u - 16 = -3*p - 88, u - 36 = -2*p. Calculate the greatest common factor of 196 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - c**2 + 3*c**2)*(6859*c**3 + 459 - 936 + 477).\nAnswer: 34295*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*d = -4*y - 50*d + 446, -5*d - 455 = -4*y. Calculate the remainder when 415 is divided by y.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 1 + 11. Suppose -f - f = 3*o + 10, b*o + 16 = 0. Let y be f - (0 + -2 - -1). Solve -x + 2 = -y*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403.7975 grams to nanograms.\nAnswer: 403797500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1143 - 1142.89984. Round j to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 85, -1, 15, -4, -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let n = -2.2 + 2. Let u be 1\/(-3) - (-13)\/3. What is the second smallest value in v, u, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/4 (b) -2 (c) 1 (d) -87 (e) -6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, -2\/7, -0.2 in descending order.\nAnswer: 0.15, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l - 4*l = 0. Suppose l = -492*h + 502*h - 30. What is the second biggest value in 1, h, -16, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -58, 912, 2908, 5930, 9978, 15052, 21152?\n\"Answer: 513*o**2 - 569*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -109*p + 3278. What is t(30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -933 - -343. Let v be (-3)\/(-6)*(w + -1). Let h = 344 + v. What is the common denominator of h and 93\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49432 - 2?\nAnswer: -49434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n - 75. Calculate the greatest common factor of 75 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z\/(z\/(z\/z**1))*z**(1\/2)*z*z**(3\/5))**(-2) assuming z is positive.\nAnswer: z**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3065 + -3062. Put d, 1, -0.07 in descending order.\nAnswer: d, 1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 - 1125673*t - 3377020\/3.\nAnswer: (t - 3377020)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**4\/12 + h**3 + 142*h. Let t be o(-5). Let p(v) = -v**2 - 5*v - 3. Determine p(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192650 is divided by 96307?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -385?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671.\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 46 + 8 + 622*v**2 + 23.\nAnswer: 622*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198582 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-145)\/87)\/(2\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3466251 greater than -3466259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.38 in -389, 2\/17, -173?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228 and 10356?\nAnswer: 196764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4885035, 4885216, 4885517, 4885938, 4886479, 4887140, 4887921?\nAnswer: 4888822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ammama. What is prob of sequence ama?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*x**3 - 19 + 3*x**2 - 7*x**2 - 75 wrt x.\nAnswer: 21*x**2 - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 66*u**3 + 220*u**3 - u**2 - 75*u**3 - 76*u**3 - 10*u - 4*u to y*u + w*u**2 + m*u**3 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 647 + -300. Suppose b + 98 = -n + w, 2*n = -4*b + 506. Let k = -165 + n. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 18*k - 2*k - 5*k - 9*k. Let a(c) = -157*c. Calculate f(a(q)).\nAnswer: -314*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -82*k - 250. Let b be s(-3). Let c(l) = 3*l - 5. Determine c(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7545, -15141, -22771, -30435, -38133, -45865?\n\"Answer: -17*l**2 - 7545*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1711.74 and -1.\nAnswer: 1711.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7 - -1.9. Let m = -0.2 - 0.3. What is the second biggest value in m, h, 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 7771.48?\nAnswer: 7766.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 2*y**4 + 3*y + 2*y**3 + 3*y + 2*y**2 to the form p*y**2 + u*y**4 + f*y + t + s*y**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 3*j. Suppose -3*h - 5 = -2*h. Let u be r(h). Suppose -144 = -3*g + 3*b, -2*b + 7*b = -4*g + 210. What is the highest common factor of u and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*1\/4*0. Let n = 0.52 - 0.12. Let x = 1 + -1. Which is the closest to x? (a) 3 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42533 + 21211 + 21226 + 2*u.\nAnswer: 2*u - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3905 and 3751.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188976 and 114018?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 82. Let b = 82 + -40. Calculate the highest common divisor of b and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 - r + r + (3*r - 6*r + 4*r)*(0*r - 5*r + 23*r**2 - 18*r**2)*(-4*r + r + 4*r).\nAnswer: 4*r**4 - 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q - i + 111, -3*q + 5*i + 365 = 0. Let h be q\/35 + 6\/(-21). Let c be 2 - -2 - (h - 2). Solve 6*u - c*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -730827\/104 - -7027. Let f = t - -4\/13. Let v = -3\/8 - f. Which is greater: v or -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2244 + -8919\/4. Calculate the common denominator of 212\/56 - (-3 - (-39)\/12) and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8547 + 164385 + 93292 = 2377*g for g.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1845666 (base 10) to base 7.\nAnswer: 21454644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 7*l + 3*l + 10, 2*r + 3*l - 6 = 0. Solve 1314 - 1284 = -r*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 3, 4.\nAnswer: -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210757 and 503?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 3198386 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1384.4 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34588056 divided by -6.\nAnswer: 5764676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3090 and 6180?\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, -5, 1.8, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307 or 1.7764?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/9 and 200\/720*(-88)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13117 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6890 + 6915. Let m = 33 - 30. Solve 8*r = m*r + t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2. Suppose 0 = -6*q - 0 + 24. Let w(b) be the third derivative of -17*b**2 + 0 + 0*b**3 + 0*b**q - 1\/15*b**5 + 0*b. Calculate w(p(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**12)**(-15)*v**(-1)\/v*(((v**(-1\/2)\/v*v)\/v)\/v)\/v assuming v is positive.\nAnswer: v**(-371\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1276*f - 1276*f + 8*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18923862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23528 - 86*l + 23368 - 88*l.\nAnswer: -174*l - 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (513\/114)\/((15\/450)\/(1\/(-3)))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l. Let f(a) = 67*a**2 - 17*a**2 - 52*a**2. Calculate f(i(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 2*d**2 - 10*d. Let w be 3\/(30\/(-4)) - -18*602\/(-1935). Give z(w).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7995602?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-33 + -37 + 55).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(91)*3 + sqrt(91)) - sqrt(91)) + sqrt(91) - sqrt(91) - sqrt(91))\/(2*sqrt(7)*1).\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12130 + -12125. Let y be -9 + 13 + 31\/(-7). What is the closest to -0.2 in g, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 14\/(-105) + 124\/30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204972*v**6 + 2*v**5 + 133*v**2 + 354*v wrt v?\nAnswer: -24596640*v**3 + 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012914 to six dps.\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(2448)*-1 + sqrt(2448)))**2 - (-4 + (sqrt(2448) + -1 + sqrt(2448))**2 - sqrt(2448)) - -6*sqrt(2448)*-1*-4)*1 + -3.\nAnswer: -9792 + 348*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*l**3*n + 176*l**3 + 24*l**2 + 32*l*n - 3*l - 10*n + 3 wrt n.\nAnswer: -51*l**3 + 32*l - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-5)\/((-15)\/(-6)). Let w(d) = d**2 - 3*d + 2. Let r be w(m). Solve 0*p = f + p - r, -16 = -2*f - 3*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -20*b - 5 - 201*b + 46*b - 12 + 46*b. Let l(i) = -43*i - 6. What is 4*j(x) - 11*l(x)?\nAnswer: -43*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60316127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5377977073 to the power of 1\/2, to the nearest integer?\nAnswer: 73335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16952446 a multiple of 707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 9) + 3 - (-86 + -6 + 100)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 4023.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 39 + 108 - 2*r**4 + 2*r**3 + r**4 as w*r + g + c*r**2 + f*r**3 + v*r**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a day in hours?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-10) - 12\/(-15). Let w be -1*b - (8 + -54). Calculate the highest common factor of w and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**4\/24 - 5*y**3\/3 - 15*y**2. Let p be i(15). Suppose 4*f + 3*d - 217 = 0, -p*f + 36 = -4*d - 243. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + -2 + (1 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/(-4) - (-11 + 5). What is the closest to -0.5 in -2, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28*-11*(-10)\/440?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 2\/(6\/(-3)). What is the greatest common factor of 2 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2475.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -446056104.18383 - -446051710. Let u = -4394 - r. Let v = u + -0.183. Round v to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.08 - 3. Suppose -542 = -5810*p + 6081*p. What is the closest to p in v, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/3, 9, 304, -1268?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let w = 5 + -1. Let j = u + w. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206 (base 16) to base 10\nAnswer: -518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1792) - (0 + sqrt(1792)))**2 + (-2*(-1 + sqrt(1792)))**2 + (sqrt(1792)*-1 + -4 - (-1 + sqrt(1792) + sqrt(1792) - sqrt(1792))*-3)**2)*-1.\nAnswer: -14385 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.0936359 rounded to 3 decimal places?\nAnswer: -66.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*l + 91*l - 4. Let r = l + -2. Let g = 6 - 3. What is the highest common factor of g and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9018 + -9020. Let m(j) be the first derivative of j**2\/2 + 2*j - 2. Let p(r) be the first derivative of -r**2\/2 - r - 1. Calculate x*m(n) - 5*p(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 7, l: 3, i: 1}. What is prob of sequence eee?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n + 2. What is k(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/28? (a) -3\/2 (b) 0.132 (c) -18 (d) 0 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2112 and 16162752.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*c + 3. Suppose 65 = c*q - 5*k, -2*k = 3 - 1. Solve j - q = -4*v, -2*j = -0*j - 2*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 + -60. Suppose -y*u = -u - 33. Sort 5, u, 0, -3 in decreasing order.\nAnswer: 5, u, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -2a5?\nAnswer: 2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-88)\/33)\/(-4))\/((-7)\/3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 - (34 + -19 + (-7 - (13 - 6)) + -2).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-1)\/6*-1*-2. Let u(x) = r - 102*x + 99*x - 1. Let b(v) = 4*v**2. Calculate b(u(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4455 - 51*f - 4459 - 4451 + 13365.\nAnswer: -51*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14063565 divided by 1?\nAnswer: 14063565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 6036*l - 78299.\nAnswer: -(l + 13)*(l + 6023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, -1\/9, 21, 0.5 in descending order.\nAnswer: 21, 5, 0.5, 0.1, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 155, -11\/15?\nAnswer: -11\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/5 + 577706*j**2\/5 - 8088178*j\/5 + 28308966\/5 = 0. What is j?\nAnswer: -288867, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 333, 6, 48, -8, 4 in decreasing order.\nAnswer: 333, 48, 6, 4, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -195722 times -87.2\nAnswer: 17066958.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-2) - (0 + -1). Suppose -2*c = 4*r + 16, 2*r - 2*c - c - 8 = 0. Sort r, -3, z.\nAnswer: z, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121 and 6071219?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-225)\/180*36\/(-195)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223604191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8930 - 8899. What is the remainder when 405 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.9 + -28.9. Let m(x) = x**2. Let r be m(-2). Put d, r, -1\/4 in descending order.\nAnswer: r, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -11, -4, 150021, 10 in ascending order.\nAnswer: -11, -4, -0.3, 10, 150021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*q - 10*q**3 + 33*q + 4*q**2.\nAnswer: -10*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/627 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 62?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803105 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 180004.\nAnswer: -35\/180004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 3*z**2 + 24*z - 4. Let r be o(-4). Solve w = -2*w - 4*y - 6, -3*w + 2*y + r = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(117) + -1 + (-5 + sqrt(117) + -1 - sqrt(117) - sqrt(117)) - (sqrt(117)*1*5 - (sqrt(117) + 0 + 1)))*-1)**2.\nAnswer: 4320*sqrt(13) + 68292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -4, 22, 68, 140?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 55, -4, 0.33, 4?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 418991129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 5\/6*m**4 + 5\/2*m**3 + 1\/12*m**5 + 19*m + 11*m**2 + 0. Let z(s) be the first derivative of l(s). Let z(h) = 0. Calculate h.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 21 - 35 = -4*o, -4*o + 74 = -2*w. Suppose 0 = -5*g - o*g. Solve g*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 7473.\nAnswer: 5\/7473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -13*r**2\/2 + 5*r - 15. Find the first derivative of m(w) wrt w.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 7*n + 12 + 3 = 9*n + 3, 3*f = -n + 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3144 + 3500. What is the highest common factor of 5162 and k?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -4, 1, 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(3 + (2 - 4)). Suppose x = q, -4*q = -7*q + u. Solve -5*m - 2*h + x = -h, 2*m + 16 = -4*h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 39 - 38 - 5*h + h. Let w(v) = 2 + v - 2*v + 2*v**2 - 7*v + 6*v. Determine 2*a(s) - w(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -380.9999937 + 381. What is f rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62749721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-21) + (-40)\/(-224))\/(27 - 60959\/2256)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o\/o**(-1\/10)))**(-2\/33)*o*o**(1\/34)*o*o*o\/(o**(-8)\/o) assuming o is positive.\nAnswer: o**(24603\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236\/1062*162\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -4 - 194*-1. Let w be (-1)\/(-9) + m\/(-144). What is the closest to 0 in 3, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439349 greater than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z + 2. Let o be (-3 - (-5 - 3)) + 0. Let h(t) be the second derivative of -t**3\/6 + 3*t. Calculate o*h(m) + i(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + c + 3. Let a be r(0). Let m(y) = -2*y**2 + 4 + a*y**2 - 4. Let w(j) = -2*j. Give w(m(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3\/7*s**2 - 6\/7*s + 0 + 9\/7*s**4 + 12\/7*s**3 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -392569, -785182, -1177795, -1570408, -1963021, -2355634?\n\"Answer: -392613*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9a3556 + b?\nAnswer: 9a3564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyhy when four letters picked without replacement from yhhhyyhhyhyyyyhhyhyh?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3013 (base 6) in base 14?\nAnswer: 34d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2, 5, -6, 9.\nAnswer: -6, -1\/2, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*m - 5*f, 0 = m + 2*f + f - 4. Suppose -3*i + 63 = -5*l, i - 2*l + m = 29. Let c be (-6)\/(-8) - 4\/i. What is the closest to c in -2, -1\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4131)\/(-162))\/(85\/34*6\/(-20))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 17*t + 23. Let m be j(21). What are the prime factors of (7 + m)*(-2)\/(-3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - o + 32*o**3 - 30*o**3 - 3*o**2 + o**4 as i*o**4 + h*o**3 + d*o + m*o**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 45 = 27. Let f(n) = -19*n - 35. What is the smallest common multiple of f(-4) and (-6)\/36 + (-134)\/t?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61225396\/464835 - 2\/66405. Suppose -5*w = -3*o + 660, -4*w + 3*w = -o + 132. Let p = w - u. Which is the second smallest value? (a) p (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/4 of a minute?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17298.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-459*8\/792.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i. Let z be (-6)\/(2 + 0) + 3. Let p(v) = -v - v - v - v + z. Determine p(o(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -31*b**2 + 3\/4*b**4 - 55 + 0*b + 2\/3*b**3 - 2\/3*b**6 + 0*b**5. What is the third derivative of i(l) wrt l?\nAnswer: -240*l**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13912 + 13914. Solve 8 = -n*v + 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 312*w - 32. Let p(d) = -313*d + 41. Determine -4*p(a) - 5*z(a).\nAnswer: -308*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -1, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.22709508 to two dps.\nAnswer: 35.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 3 (b) 0 (c) 4\/491 (d) -3 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(531\/(-174) - -3). Suppose -2*v - 8 = -a. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*z = -52*z - 7854. Calculate the lowest common multiple of z and 24.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102204\/((-99)\/(-11)) + 10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - ((-171)\/(-56)*-1 + 2). Which is bigger: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.5 + 23.5. Are 2\/3 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bobb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 44 + (-38 - -60)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9127, -9500, -9889, -10300, -10739, -11212, -11725?\n\"Answer: -u**3 - 2*u**2 - 360*u - 8764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 + 300*r**2 - 929*r - 71. Give g(-103).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - d = 1, 0 = -35*r + 33*r + 3*d - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v + 57. Let i be s(27). Suppose m + 3 = 7. Suppose -t - m*u = 2, -3*u = -i*t + u + 74. Solve 6*b - b + t = 4*z, -5*z = -2*b - 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*b - 32 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 4*a - 4. Let y(i) = 4*i**2 - 21*i + 21. Suppose 51*n - 55 = 56*n. What is n*c(h) - 2*y(h)?\nAnswer: 3*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1.4, -3\/8, -0.34?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4 - 1. Suppose -p = x*p - 48. Suppose -4*w + 28 = 2*u, 2*w - 7 = u - 3*w. What is the greatest common factor of p and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 8*y + 29. Let k be j(9). Calculate the greatest common factor of k and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44.1 + -47. Let u = 3 + h. Let c = 37 + -41. What is the second biggest value in u, c, 4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -9 + 104 + -81\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 25*x - 46, 3729*i = -5*x + 3732*i + 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14035 (base 7) in base 15?\nAnswer: 11d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7\/4, 13 in descending order.\nAnswer: 13, 2, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 8*q**4 - 4*q**4 - 2 - 2*q**4 to the form h*q**2 + m*q**3 + d*q + l + a*q**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-18))\/(98\/144 - (-4)\/(-6)). Solve 29*p = t*p - 35 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4809, 4807, 4805, 4803, 4801?\nAnswer: 4799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2497013.\nAnswer: 2497013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -7. Let d(o) = -7*o - 11. Let j(l) = 4*l + 3. Let r be j(-2). Let h(t) = -t - 1. Let n(u) = r*h(u) + d(u). Give n(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 11:37 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/5 - 10856*i**2\/5 - 141394*i\/5 - 391752\/5 = 0. Calculate i.\nAnswer: -9, -4, 5441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34879 + -d?\nAnswer: 3486a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -331 (b) 0.194 (c) -2 (d) -0.35 (e) -4 (f) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -73, -97, -141, -211?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**5*d**(-6\/11))\/(d*d**(-1\/2))**(11\/7)*(d**(1\/5)\/d**8)\/((d**(-9)\/d)\/d*d*(d**(-7)\/d)\/d*d*d) assuming d is positive.\nAnswer: d**(10679\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -387525498.\nAnswer: -387525502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 714\/11231 + 783198590\/101079. Let w = -7756 + f. Calculate the common denominator of w and -55\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62977728 is divided by 14612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4515590323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 96 (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*m**4 + 285545*m**3 + m - 73394417?\nAnswer: 252*m**2 + 1713270*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 6:57 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 24*l - 18 = -6*l - 3*i, 0 = 2*i - 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jigjiijjjijggii. What is prob of sequence gj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 23442.04.\nAnswer: 23441.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-16 - -3) - (5 + (4 - -2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5\/5 + 9*s**4\/5 + 3*s**3 + 7*s**2\/5 = 0. Calculate s.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7103 - -7103. Which is smaller: m or -0.0746?\nAnswer: -0.0746","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*f - 2 = -q, 2*q - 13 = -3*f. Let j be 8*(0 - 1\/(-2)). Suppose -63 = -j*k + k. What is the remainder when k is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*u + 9*u**3 + 5*u + 8*u wrt u?\nAnswer: 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s + 309 + 27. Let n = s + 171\/4. Let r = 2.5 + -2. What is the third biggest value in n, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -30, -52, -78, -108, -142, -180?\n\"Answer: -2*b**2 - 12*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1182203 = -20*r - 1182183 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 9*i + 3. Let t(w) = -4*w + w**2 - w + 2 + 0*w. Suppose 2*h = 5*k + 5, 4*h + 5 = -0*k + 5*k. Give k*a(p) + 5*t(p).\nAnswer: -p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5529 + -3394. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21176670 divided by -705889.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (10 + -22 - -28) + -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-7 - (7 - (19 + -6)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -352.91 + 4.59.\nAnswer: -348.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2495 is divided by 280?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 77 + 282 = 4*z, 3*j - 217 = -4*z. Suppose 22*m = 18*m + z. Solve 3*a - 4*a + m = 2*y, -y = a - 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1452 + 1452 + 36*j**4 - 3*j**4 + 2*j - 2*j + (-2*j + 4*j - j)*(-3*j**3 + 62 - 62).\nAnswer: 30*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37143 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:35 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + k**3 + 117*k**2 - 95*k**2 - 82*k**2.\nAnswer: -k**3 - 60*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43778423 or -43778422?\nAnswer: -43778422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/2 - 69*t**3\/2 + 465*t**2\/2 - 975*t\/2.\nAnswer: 3*t*(t - 13)*(t - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -179186, -179187, -179188, -179189?\n\"Answer: -h - 179185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o - 6. What is the tens digit of k(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1863 + 1941.7. Let s = 79.4 - o. Which is the biggest value? (a) -0.5 (b) s (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*o + 3*h + 85, -4*o = 3*h - 415. Calculate the smallest common multiple of o and 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 225 and -9.05.\nAnswer: 215.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/425 < 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 522 + -526 + (4 + 6 - (-1 - 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.019 + -0.027. Round a to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 0 + w - 5)*(-11924*w**3 + w + 12335*w**3 - w) to l*w + r*w**2 + b*w**4 + c*w**3 + q and give b.\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17127762 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o**3 + o**2 + o + 1. What is y(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61031?\nAnswer: 61031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 = -5. Let z(n) = 6*n - 1. Let c(w) = 3*w. Calculate m*z(p) - 5*c(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*h - 66*h + 139*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**2 - 4*d + 6. Let n(r) = -7*r**2 + 8*r - 11. Let t(f) = -5*l(f) - 3*n(f). Let q = -428 - -430. Calculate t(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*d - 122*c**2*d**2 - 3*c*d - d**2 wrt c.\nAnswer: -6*c*d - 244*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 15. Let f(a) = -6*a + 68. Let i(d) = -f(d) + 5*o(d). What is i(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 3*p**2 - 17 - 43.\nAnswer: p**2 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 + 120 + (-3 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3766, -7519, -11270, -15019, -18766, -22511, -26254?\nAnswer: -29995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1040 - 1095 = 11*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/3 + 9957*a**4 + 74669400*a**3 + 4675445316*a**2 + 79993344960*a + 199916294400 = 0. What is a?\nAnswer: -14904, -30, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**3 + 7*j**2 + 11*j + 10. Let o = -699 + 694. Does 30 divide p(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0*v - 12*v)*(-3*v - 4*v + 0*v) + 2*v**2 + 3*v**2 - 3*v**2 + v**2 + 0*v**2 - 2*v**2.\nAnswer: 71*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246, -986, -2220, -3948, -6170, -8886?\nAnswer: -12096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*g - 7 = 13, -k - 5*g - 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/32480 and -29\/522592.\nAnswer: 75775840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -8 + 2 + 6 + -3 + 1\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**3*q**5 - 2*h**3*q - 97*h**3 - 38*q**5 wrt q?\nAnswer: -80*h**3*q**3 - 760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 12 + 15 + (105\/819)\/((-1)\/48).\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (2 - 2))*-9. Suppose 4*w - 5*q = 645, w + 4*q = -4*w + 755. Let b be (-8)\/36 + w\/k. What is the highest common factor of b and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {t: 2, k: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 22*n**2 - 503*n - 20212. Calculate k(-21).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 4*c + 101. Let f be 9\/(-7 - 200\/(-32)). Let n be t(f). Solve v + 8 = -2*u, 2*u - n*v - 2 = 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -21.86. Let w = -0.2 - q. Let p = w - 0.3. What is p rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11155767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2055, 2133, 2211?\n\"Answer: 78*c + 1977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.83 rounded to zero decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*n - 3*l - 19, -2*l = -n + 9. Let i(t) = t**2 - 13*t - 9. Let b be i(8). Let d be (-14)\/b - (-31)\/14. Which is smaller: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 14 + 6 = 0. Suppose 750 = d + c*d. Suppose -7*k + 2*k = -d. What is the highest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530306 divided by 6?\nAnswer: 255051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, 40\/11, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlllllmlllllllmmlmll. Give prob of picking 1 l and 3 m.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 483928 to the power of 1\/2, to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(9)*2)\/(sqrt(96)\/sqrt(8)) + -6*(sqrt(756) + (sqrt(756) - (sqrt(756) - (sqrt(756) - sqrt(756)*-2))))\/sqrt(7).\nAnswer: -143*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*r - 30, -32 = w - 5*r + 4*r. What is the thousands digit of (-6)\/w - 60160\/(-55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*s + 2*s**4 + s**2 - s**4 + 68*s - 6*s**3 as z + k*s**3 + y*s**2 + i*s**4 + m*s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, d: 3, r: 5}. Give prob of sequence tddd.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/15*-5 + 909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84318 and 140?\nAnswer: 5902260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048094 - 0.5?\nAnswer: -0.548094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(5\/50)*(-2)\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*v + 8 + 12, 3*v + 15 = 5*d. Let q(y) = -y**3 - y**2 - y + 24. Let p be q(d). Solve -2*l - 2*a = a + 7, 4*l - 4*a = -p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (372\/10)\/(4\/30). Calculate the highest common factor of y and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0, 0.4, -2\/3, -156890?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, and 1 e when three letters picked without replacement from {k: 1, c: 2, v: 1, t: 1, m: 2, e: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3193141 a multiple of 498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4518\/(-189) - (-8)\/(-84). Is ((-1799)\/3)\/(s\/72) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/2550 and -71\/750.\nAnswer: 12750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6160 and 28160.\nAnswer: 197120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 1\/4*q**4 - 3*q - 3\/2*q**2 + 0 + 0*q**3. Find the first derivative of n(f) wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59.6 - 27.6. Let g = x - -86.837. Let s = g - -0.36457. Round s to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11244456 and 1224?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -11 - ((213 - 180) + 16 + -3 - 14)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-2)\/(-7))\/((-4)\/(-3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-448)\/(-44) + 2\/(-11). Let m be (-8)\/(-10)*(-25)\/n. Let h be -3 + 0 + (m - -5). Solve h = 5*w - 4*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*g - 43*g + 88*g.\nAnswer: 109*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 19, -4, 168?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*w - q, 2*w + 2*q - 6 = 8. Let c(g) = -g**3 + g**2 + 3*g + 4. Let b be c(w). Which is greater: -6 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5\/(-2))\/((-4)\/2616)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -7. Let y be (0 - 0) + i\/3. Let r(q) = q + 9. Let d be r(-6). Put d, 0, y in ascending order.\nAnswer: y, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 - 8*f**2 + 12. Determine h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 307, -387, -1081, -1775, -2469?\n\"Answer: -694*k + 1001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**7\/315 + b**6\/180 - b**5\/30 - b**4\/36 + 2*b**3\/9 - 49*b**2 - 7. Factor l(y).\nAnswer: 2*(y - 1)**2*(y + 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3 - 5. Let j(o) = -o**2 + 12*o - 22. Let d be j(9). Solve 2*f = -3*a - d, a + 7 = -0*a - g*f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 57*r + 2182. Let q(h) = -4*h**2 - 56*h - 2184. Let j(n) = -4*g(n) - 3*q(n). Find x, given that j(x) = 0.\nAnswer: -17, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 11*c**2 - c - 8. Let l be (-112)\/10 + 1\/5. Let d be o(l). Suppose -92 = d*y - 7*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1033 <= -1023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b - 2*b**3 + 5*b)*(-3 + 3 + 3*b + (-4*b + b + b)*(4 - 5 + 5)) in the form f + c*b**2 + h*b**3 + z*b**4 + v*b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1584352 - 7008472 = -114*w. List the prime factors of w.\nAnswer: 2, 3, 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -173. Let q = -911 + 928. Calculate the greatest common divisor of q and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18513578?\nAnswer: 2, 17, 544517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 5*t = -2, s - 22 = 7*t - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -95479*-0.114\nAnswer: 10884.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97.8 + 97.8. Sort d, 48\/17, 0.1, 4 in decreasing order.\nAnswer: 4, 48\/17, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1344 divided by 12.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 19 + 82 = 0. Let q(n) = 37*n**2 - 7*n + 7. Let w(j) = 19*j**2 - 3*j + 4. Let r(b) = d*w(b) - 4*q(b). Find the second derivative of r(t) wrt t.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 434 = 344. Let y(u) = -u**2 + 12*u + 51. Let r be y(a). Solve 0 = 4*b + 2 - r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + (-14)\/2 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*4*-4*sqrt(2).\nAnswer: -96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 18 = -30 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*c = -9, -5*a + c = -c - 45. Suppose 3*i = 89 - a. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -373221?\nAnswer: -373214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18020)\/1060 - 3\/3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621531*p - 621532*p + 4*p**2 + 177 - 3*p**2.\nAnswer: p**2 - p + 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 2*z**2 + 2*z**2)*(-4*z**2 + 2*z**2 + z**2) + 2*z**4 + 2*z**4 - 5*z**4 - 36*z**4 - 205*z**4 - 156*z**4 - z**4 + 7*z**4 - 3*z**4.\nAnswer: -393*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 - 2*z**3 + 2*z**3)*(-5 + 5 - 5).\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8189850 and 327594.\nAnswer: 8189850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27882607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w**(-4)*w)\/(w\/(w\/(w*w\/(w*w**(-2\/15)\/w)))*w*w*w**(-4\/5)) assuming w is positive.\nAnswer: w**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 6. Let b be q(-3). Calculate the remainder when 25 is divided by (-2)\/(-7) - ((-495)\/b)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30, 64, 98, 132, 166, 200?\n\"Answer: 34*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**4\/3 + 4768*r**3\/3 - 272440*r**2\/3 + 2364800*r\/3 - 1870500 = 0. What is r?\nAnswer: -1247, 5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*h - 388 + 148 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*m + 85 - 85 - 31*m in the form o*m + f and give o.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2467 is divided by 762?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 624 - -2668468?\nAnswer: 2670203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + 5 + ((sqrt(171) + 0)*3 - (sqrt(171) + (sqrt(171) + 2 - sqrt(171)) + -1))**2 + 4).\nAnswer: -12*sqrt(19) + 695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 207 + -188. Suppose 45 = g*i - 14*i. Solve -2*j + i = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -90099.\nAnswer: 36039.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004734703 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 9:51 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9615a07b - -5?\nAnswer: -9615a076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)*1 + sqrt(504) - sqrt(56)) + sqrt(56))\/(-3*sqrt(200)).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1169 - 230. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 15030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001100111100010 (base 2) in base 16?\nAnswer: -99e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1364\/15 - -1071\/10. Find the common denominator of -45\/8 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 656371579 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*b*j**3*o*y - b*j**3*y - 3*b*j - 7*j**3*o + j*o + 43*o*y - 2*o wrt y?\nAnswer: -4*b*j**3*o - b*j**3 + 43*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12339 divided by -27?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/13)*b**(-2\/25)*b**(2\/7)\/b**(2\/11) assuming b is positive.\nAnswer: b**(-3252\/25025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19056, -76206, -171454, -304800, -476244, -685786?\nAnswer: -933426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6052, 5991, 5932, 5875, 5820, 5767, 5716?\n\"Answer: j**2 - 64*j + 6115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5933205313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21170 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, j: 5, c: 5}. Give prob of picking 2 j.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2864 is divided by 700?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 31 = -11. Let k = -29\/24 - -5\/6. Which is the third biggest value? (a) j (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1584)*3 + sqrt(1584))*1 + -3 + (sqrt(1584) - -1*(sqrt(1584) - (-2 + sqrt(1584))) - (-2*(sqrt(1584) - sqrt(1584)*-3) + sqrt(1584)))**2.\nAnswer: 624*sqrt(11) + 101377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*l + 27 = 85, b = 2*l + 17. Let m be -2 - (-5)\/(b\/12). Suppose -m*c + 5 = -17. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 419, 954, 1691, 2624?\nAnswer: 3747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9668, 15023, 20376, 25727, 31076, 36423?\nAnswer: 41768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 153*h + 180. Is b(15) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546319 is divided by 7188.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10*-56*1275\/(-42000)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 43.842. Let v = b + 0.15. Round v to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*v + 66*v - 2262 = 2442 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, 17, 57, 113, 185, 273?\n\"Answer: 8*b**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**4 - 35*j**3 - 14*j**2 wrt j.\nAnswer: 24*j - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -8*y**2 + 11*y - 2. Let j = -119 - -114. What is the tens digit of t(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -2*x**2 - 5 + 0*x - 1\/2*x**4 - 2*x**3. Factor o(u).\nAnswer: -2*u*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-4)*12\/14. Let g(x) = -x + 2. Let j be g(q). What is the nearest to 0 in 2\/3, j, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*a - 83, 5 = -a + 1. Suppose 17*j = u*j. Let c = 3 + j. Solve 0 = -3*m, 9 = -c*k - 4*m - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)*k)**(12\/7)*(k*(k\/k**(-1\/3)*k*k)\/k*k)**(-12\/5))**(-2\/77) assuming k is positive.\nAnswer: k**(104\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -216411 and -216411 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7764 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24091 times 0.1?\nAnswer: -2409.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*l + 52 = 9*l, -2*l = -4*a + 222. Let x(c) = -98*c**2 - 1. Let m be x(1). Let p be -3 + 1 - m\/a. What is the closest to 0 in -1\/4, 3\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.87 + -3.67. Is b less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -1) + 38 + -15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(-2)\/(-10)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 156*z**2 + 13*z**3 - 156*z**2 - 14*z**3 + 8.\nAnswer: -z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*l - 7 = v - 257*l, -27*l - 13 = v - 22*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/37? (a) 0.3 (b) 3\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -79ed (base 15) to base 10\nAnswer: -25873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89c (base 16) to base 11.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m**2 - 49*m**2 + 31*m**2 + (0*m + m**2 + 0*m)*(4 + 1 - 7) - 2 - 2*m**2 + 2 - 4*m**2 + 4 + 0 - 3 to the form j + t*m + c*m**2 and give c.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.043, -0.1, -22, 2 in decreasing order.\nAnswer: 2, 1, -0.043, -0.1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o - 15 = 161 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 6 - -6410 - 6\/15*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f**2 - 48*f**2 + 22*f**2 + 9 + 21*f**2 + 23*f**3. Let x(t) = -12*t**3 - 3*t**2 - 5. Calculate -3*p(k) - 5*x(k).\nAnswer: -9*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 61*v**7\/14 - 421*v**3\/6 - 614*v**2. What is the derivative of f(r) wrt r?\nAnswer: 3660*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -843 - (14\/2 + -4). Let g be (2\/3)\/((-12)\/z). Suppose 5*k = -3*a + 110, -3*k + 3*a = a - g. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 3\/245 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001630048 rounded to five dps?\nAnswer: 0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 110668 - 2?\nAnswer: 110666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 p, and 1 q when four letters picked without replacement from jjjppjpjpjkqpj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/4 of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 3:00 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -0.052, -0.09245, 5, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 1)*(2*a**2 + 7 - 14 - 6*a**2).\nAnswer: 4*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1489 = -1535. What is the greatest common divisor of a and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 9:03 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 4:44 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -8.668021.\nAnswer: 26.004063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/4 - 594*u**3 + 13113*u**2\/2 - 18494*u + 50127\/4 = 0.\nAnswer: -2387, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 553, 564, 575?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from gggggggglggggglglg.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**5 + 2*y**5 - 5*y**5)*(-3 - 3 + 1)*(47 - 19 - 17) + 0*y**3 + 0*y**3 + 2*y**5.\nAnswer: -53*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + (-43 - 5) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1346290 (base 11) in base 9?\nAnswer: -4327571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**8\/420 + q**4\/6 + q**3\/2 - 3*q**2. Let l(a) be the first derivative of d(a). Differentiate l(z) wrt z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + (sqrt(405) + 1)*-4)**2*6.\nAnswer: 1296*sqrt(5) + 21966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Let p be 96\/24 - (-4 - -1). Let b(m) = 91*m**2 + p*m**3 - 3 - 6*m**3 + 1 - 92*m**2. Calculate b(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, y: 1, k: 1}. Give prob of picking 1 y and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) 0.1 (b) 1\/12 (c) 3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1318*i**2 + 4*i - 10. Let p be q(-8). Suppose 3*h - v + 3*v = -p, 0 = -2*v + 2. Is ((-4)\/(-6))\/((-16)\/h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5 - 1138978458?\nAnswer: -1138978466.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 5*g**4\/12 + 4*g**2 - 15*g. What is the derivative of l(p) wrt p?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 882*f + 9 = 883*f, -27 = -6*u - 5*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8310752 - -8310752.05189637. Let g = k + 0.29408633. Let t = -0.346 + g. What is t rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 12:49 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 v, and 1 z when four letters picked without replacement from {m: 4, b: 3, z: 4, v: 9}.\nAnswer: 144\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 296, 593, 890?\n\"Answer: 297*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -5*b**8\/84 - b**5\/30 - 2*b**2. What is the third derivative of v(o) wrt o?\nAnswer: -1200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 smaller than 273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/7227698 and 4.\nAnswer: 7227698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-3))\/4)\/((-66)\/(-18)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.099 plus -4.76?\nAnswer: -47.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/12597 or 1?\nAnswer: -1\/12597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 15)*(-3*b**2 + 2*b**2 - 13*b**2) + (1 - 1 + 2*b)*(1 - 1 - b).\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*h + 21 - 4 = 0, 5*h = -2*v + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 5 = -4*a. Suppose -a*z - 16 = 2*u, -u + 0*z + 4*z = -16. Suppose 2*x = -u*x + 12. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**3 - 58*r**2 + 310*r + 20. Let y be g(6). Solve -1503*k - 34 = -y*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*b - 21111 + 20814 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 10 = 0, h = n + 3*h + 2. Suppose 89 = -n*t - a, -3*t - t - 169 = 5*a. Let d = t + 69. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 12:52 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51975 and 847.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-324)\/(-21))\/(-1))\/(36\/840). Calculate the common denominator of 456\/108 + -4 - 463\/i and -43\/3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**2 - 4*u - 6. Let h(g) = 10 + g + 0*g**2 - 6 + g**2 - 3. Give -5*h(a) - i(a).\nAnswer: a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.76945l to millilitres.\nAnswer: 72769.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.7888 + 0.2?\nAnswer: 31.9888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqxujqz. What is prob of sequence zqqu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 9*s + 3. Let r = -1719 + 1727. Determine p(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/99*6\/(-10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12295147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34037.\nAnswer: 101, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i = -29*i - 45. What is the smallest common multiple of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 766 - 765.71. What is the closest to -1\/3 in 1\/7, d, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h**2 + h**2 + 3*h**2)*(-88 + 4*h + 61 + 33 - 2*h**2).\nAnswer: -26*h**4 + 52*h**3 + 78*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -40*s**3 + 18*s**2 + 20*s - 15. Let h(t) = -79*t**3 + 41*t**2 + 39*t - 33. Give 9*b(w) - 4*h(w).\nAnswer: -44*w**3 - 2*w**2 + 24*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6265 (base 8) to base 13\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11729.9 - -11730. What is the closest to -4\/7 in 3, -6, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89333 rounded to two decimal places?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8599 - 550321\/64. Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -4. Let d be 2*19*3\/6. Calculate the remainder when -1 + 3 + (d - 2) is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5265291*n + 3*n**3 + 2*n**3 - 5265291*n + 6*n**3 - 9*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - q**3 + 0*q**3 - q**3)*(4*q - 2*q + 0*q) - 4*q**4 - 2*q**4 + 2*q**4.\nAnswer: -8*q**4 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*a + 579*a - 3236 = 232*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20580\/(-24))\/49*(-160)\/(-168)?\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*17\/(204\/(-90)). Let d be 86 - 1\/2*0. Let x = n + d. What is the remainder when x is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3 = -u, 3*u - 25 = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3956531177 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-528)\/60)\/(20\/(-25))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 144.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -2 + 0*i**3 - i**2 - 1\/60*i**5 + 0*i**4 + 0*i. Let n(p) be the second derivative of c(p). Let q(l) = 2*l**2. Give q(n(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68927441.\nAnswer: 11, 193, 32467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14403 is divided by 117.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -5*v**4\/12 + 9*v**2\/2 + 6*v. What is the derivative of i(q) wrt q?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21261 and 144666?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79098 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 267652.47357 - 267651. Round c to two dps.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(243) + 2 - sqrt(243)) + 0))**2 + 1 - (0 + 0 + sqrt(243) + (sqrt(243) - (sqrt(243) + -3)*-2))**2.\nAnswer: -3907 + 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1942848 is divided by 185.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 15.1. Let k = 1 - i. Let s = 1 + -3. Is k less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 5:28 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 2*r**2 - r. Let w(j) = -j**4 + 2*j**3 + 8*j**2 - 2*j. Let z(n) = -2*s(n) + w(n). Solve z(b) = 0 for b.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112\/8*(-2)\/(-7)*(-51)\/(-102)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57\/51154 or 1?\nAnswer: 57\/51154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.165 * -3.\nAnswer: -6.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 + 0 = 0. Suppose 7*g = r*g - 18600. What is g rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 81*b**2 - 19*b + 72. Is v(41) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725.4106 millimeters to centimeters.\nAnswer: 72.54106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1746 + 433 - 1495 + 558 - 8*c**3 + 1262*c**2 + 6*c**3 wrt c?\nAnswer: -6*c**2 + 2524*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(22) - 4*sqrt(1078) - sqrt(22) - (sqrt(22) - (sqrt(352) + -1*sqrt(352) + sqrt(352) + sqrt(352))))\/(5*2*(sqrt(6)\/sqrt(3)*4 + sqrt(2))).\nAnswer: -2 - 21*sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 9*w**2 + 9*w + 8. Determine a(-9).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159840 and 369408?\nAnswer: 16623360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -465487*d**3 - 6790278 wrt d.\nAnswer: -1396461*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -142925908 divided by 8?\nAnswer: -35731477\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - 0.1. Let b = 0.0155 - -22.0845. Let v = 22 - b. Put -0.4, h, v in descending order.\nAnswer: v, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1345*t**2 + 4*t + 4. Let o(x) = -5379*x**2 + 18*x + 18. What is -9*i(z) + 2*o(z)?\nAnswer: 1347*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 6 + 4 + 0*g + 212*g**4 + 3 - 213*g**4 + 684*g**3 to z*g + o + u*g**4 + i*g**3 + y*g**2 and give i.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221571 is divided by 11606?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2 (c) -1\/4 (d) 0 (e) -20\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5199*b**3 + 7450*b + 76983044?\nAnswer: 15597*b**2 + 7450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28287 and 9023.\nAnswer: 36461943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.32016903 + -90?\nAnswer: -88.67983097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**4 - 2103*m + 12*m**2 - 2134*m + 12*m**3 - 3*m**5 + 4237*m = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187135700 rounded to the nearest 1000000?\nAnswer: 187000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 328455 divided by -2.\nAnswer: -328455\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1170 and 4420.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 5*i**2 - 2*i - 12. Let y = -283 + 278. Let m be p(y). Let n be 3\/(-13)*(-4)\/6. Which is the biggest value? (a) n (b) m (c) 5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-11 + 11 + -1 + 86) - -3?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 857245261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.6 + 451.6. Let i = g - 439. Which is the nearest to 1\/4? (a) 0.5 (b) 5 (c) 0.2 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4621245 - -23?\nAnswer: 4621301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4099.90002 - 4100. Let m = -0.1 - n. What is m rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*b - 8*b - 21 - 11*b in the form v + d*b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*q - 26 + 110. Let g be ((-1)\/(7\/3))\/(-1). Sort 0.1, q, g in descending order.\nAnswer: q, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 0 + 3*i**3 + 3 + i**2 + i - 5. Let x be n(1). Solve 4*v = s - 7, v + 18 = -0*v - x*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 78 - -3?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**4\/3 + 32*d**3\/3 + 486*d. Determine o so that l(o) = 0.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5667 + 2830 + 2844 + 96*j.\nAnswer: 96*j + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20475 and 7245.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10 - 2 = 0. Let k = b - 0. Suppose d = -2*p - 1 - 5, k*d - 32 = 4*p. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -14 - 5*v**2 + 18*v**2 - 294183*v + 294161*v + v**3. Calculate p(-14).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13 - -5)\/((-2)\/(-5)). Let j = 20 + m. Suppose 4*l = -j*l + 460. Does 23 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7260)\/(-1155)*28\/((-16)\/(-4))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (sqrt(70) + -1*(sqrt(70)*-1 - sqrt(70))))\/(5*sqrt(10)\/sqrt(2)))\/(1*sqrt(63) + sqrt(7) + (sqrt(84)\/sqrt(3) - sqrt(7))).\nAnswer: -2*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4109515 is divided by 659.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in -14, 3, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (0 + -5) - (13 - 10). Solve 7 = -0*l - 5*l + v*d, -16 = 2*l + 5*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10 and -72 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 1 - ((16 - 37) + 23).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/((-3360)\/(-54))*7\/6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-3)*(12\/(-10))\/(2296\/5740)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7725, -7825, -7927, -8031, -8137?\nAnswer: -8245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 12 - 6 + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeoaqqaroaqyoqq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u - 75. What is the tens digit of 41\/3*45\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2098084234*r + 2098084234*r - 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180246975.3 milliseconds to weeks.\nAnswer: 0.29802740625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-1)\/(-1))*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = s - 17, -x = -0*s - 3*s + 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 12:17 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {r: 2, d: 4, y: 3, z: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*w - w + 5*p, 15 = -3*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1.8, -1\/4, 1628, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 23*u - 54. Calculate s(11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 131 (b) -5 (c) -0.2 (d) -3 (e) -7.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 17*u - 65. What is the smallest common multiple of p(8) and 143?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, v: 2, q: 6}. What is prob of picking 1 j and 1 v?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 + -2.3. Which is the third smallest value? (a) 2\/17 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -10\/7 (b) -2\/3 (c) 0.4 (d) -3\/50 (e) 3\/7 (f) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 2*h**2 + 1. Suppose -3*p + f = -2, -4*f = -2*p + 1 - 3. What is x(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6*2\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijztiwd. What is prob of sequence dz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 4, -2216, -2\/17, -3.4, -0.1, 0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-728)\/280 - (140\/25)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/7)\/((-14)\/69384) - -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -198*z - 206. Is a(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-3 - 1) + (15 - (-6 + 20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 54*d - 7*d**3 + 3*d**3 + 4*d**3.\nAnswer: -2*d**3 - 54*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 577260 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 6*z**2 - z + 23. Let q be f(-5). Solve n + p + p = q, 5*n = 3*p - 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-1)\/(-2)*-2. Let u be (-32)\/(-10) + k\/(-10). Suppose t = u*t + 46600. What is t rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4142.753 nanometers to millimeters.\nAnswer: 0.004142753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + -4 + sqrt(2048) + sqrt(2048)*-1 + sqrt(2048))*-6)**2 + 2 + -1.\nAnswer: -230400*sqrt(2) + 1857601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -436, -809, -1182?\n\"Answer: -373*v - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -1. Let q = -87 + 84. Let l = 237 - 233. Which is the closest to -0.1? (a) q (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -79*n - 7420. What is o(-94)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1378 is divided by 528?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -825790*z + 3650046*z + 2290753*z.\nAnswer: 5115009*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1649 (base 11) to base 7\nAnswer: 6103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47926907749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/657398425?\nAnswer: -1\/657398425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.3 - 14.3. What is the closest to 31 in 3\/7, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(0*c + 5*c + 0*c + (c - 2*c + 3*c)*(-2 + 2 + 2) + 3*c - c - 4*c) + (0 + 3 - 1)*(c + 4 - 4).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1573343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1587457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33 (b) 0 (c) 2\/7 (d) -34 (e) -3.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99355546.\nAnswer: 2, 41, 1211653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i, 3*v = 3*i - 12 + 3. Let u = 5227 + -5225. Which is the closest to 1\/3? (a) u (b) v (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 - -0.3. Let f = 9.81 + -9.8. Sort -0.1, q, f.\nAnswer: q, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 76241.79 seconds?\nAnswer: 0.882428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3577802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/35 in -2\/13, -9020\/9, -5, -3, -6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 130425+-0.1\nAnswer: 130424.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1094109 and 2906.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 309 = -4*h - h, 4*h = -2*f + 248. Let z = -8 + 14. Suppose 0 = z*j - j - 45. What is the highest common divisor of h and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -495492*b*p - 4302*b + 48 wrt p.\nAnswer: -495492*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*((-82)\/(-8) + -9). Which is the third smallest value? (a) 1 (b) 3 (c) 3\/5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55011352\/2227 - 24702. Let g be (1 + (-2)\/(-4))*(-71284)\/33405. Let s = g - k. Is s less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39 - 7)*6\/(-4). Suppose 0 = 3*g - q - 210. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621 and 1454549049?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -32 - (16 - 14 - (-1 - -19))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/5 and 30\/45*(-98)\/(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-91)\/42) + 87\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(2448) - (4 + sqrt(2448) + 0 + sqrt(2448))))**2 - (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + (-5 + sqrt(2448) + -1)**2)))*1)*-2.\nAnswer: -24680 - 456*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1548 and 2023924.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q - 7. Suppose -3*d = -5*k - 66, -3*d + 44 = -d - 4*k. What is the least common multiple of d and c(5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(-1\/19))**13 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*k - 12, -1 = 5*l - 4*k + 3*k. Let j = 765349\/307 - 2493. Is j at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21301 is divided by 7067?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40940659?\nAnswer: 71, 191, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k = 20. Suppose -k*d + 24 + 21 = 0. Calculate the remainder when 34 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*g = 39, -2*v + 5*g = g - 8. Calculate the least common multiple of 20 and (-4 + 7)\/(v\/(-4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 1759 = -17*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1185755 - 1185539 = -8*j for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.897104 years in months?\nAnswer: 106.765248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 7) + (-12)\/(-4 + 0). What is the third smallest value in p, 8, -4\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.01. Suppose 2*o = -2*b - 2*o - 10, 10 = -2*o. Suppose 0 = -b*v + 1 + 4. Which is bigger: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195 + 193. Put l, -1, -20, 3 in increasing order.\nAnswer: -20, l, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-2*v**4 + 2*v**4 + 2*v**4) - 60*v**2 + 60*v**2 - 196*v**4 - 221*v + 221*v - 9*v**4.\nAnswer: -201*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 447 and 1865973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n. Suppose 29*d - 28*d + 1 = 0. Let h(y) = -2*y + 1. Let r(s) = 5*s + 6. Let b(c) = d*r(c) + 6*h(c). Calculate j(b(i)).\nAnswer: 51*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14856.82g in micrograms?\nAnswer: 14856820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5723 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 12:32 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-7) + 1)*(-2 + 186\/86)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6301401 divided by -2100467?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641440 is divided by 160359?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 16497.87 millennia?\nAnswer: 16497870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/1*(11 + 46\/(-4)). Let r = 11 - 11.5. Let m = r - -0.6. What is the third biggest value in m, -26, s?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/744 and -43\/324?\nAnswer: 20088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79749?\nAnswer: 3, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14325 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 + 10*(-20)\/(-125). Suppose 6*c + u - 2077 = s*c, -1553 = -3*c + 4*u. Suppose c + 41 = 8*n. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 13) in base 9?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -38.93.\nAnswer: -35.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h + h**5 + (-1 + 1 + 2*h**3)*(4*h**2 + 4*h**2 - 7*h**2) - 7*h**3 - 9*h**5 + 7*h**3.\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2635 and 9.3?\nAnswer: 2644.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8655*l - 571217. Give p(66).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/80454451 or 1?\nAnswer: -16\/80454451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 310085166*p**4 - 49426104*p wrt p.\nAnswer: 3721021992*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 63.959652?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 8*n + 9. Let f be i(-9). Calculate the greatest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -224*p**2 + p - 5. Let a be w(2). Let r = a + 2696\/3. What is the closest to r in 3, -4\/15, 2\/3?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 207464848*u**2.\nAnswer: -4*u**2*(u + 51866212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 513670068 to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2767*a*r**2*z**3 + 8*a*r**2*z**2 + 3*r**2*z**3 - 4*r*z - 478 wrt a.\nAnswer: 2767*r**2*z**3 + 8*r**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 7*c**2\/2 - 35*c - 145. Let g(t) = -3*t + 17. Determine -2*b(f) - 5*g(f).\nAnswer: f - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -4*h + 23, 5*r - 18 = -5*h + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-49)\/21)\/((-42)\/(-63)))\/(14\/252)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 533, 1063, 1591, 2117, 2641, 3163?\n\"Answer: -s**2 + 533*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 12*n + 59. Let v be t(-5). Which is the second biggest value? (a) 20 (b) 1 (c) 1\/7 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42250 is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -48774.91?\nAnswer: -48774.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21592 divided by -25962.\nAnswer: -10796\/12981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 11*w**2 - w - 13. Suppose 308 = -95*z + 67*z. Let y be t(z). Let l(s) = -5*s**2 + 3*s + 2. What is l(y)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(152)\/(sqrt(200) + sqrt(8)) + -3*sqrt(19) + -1 + -1*(sqrt(19) + -3*sqrt(19))**2.\nAnswer: -77 - 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -231 + 229. Let x be 6\/2 + 6\/r. Solve -4*h + 7 = -3*s + 2, x = 5*s - 2*h - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 11:44 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 0*q + 4 - 3*q + 8*q. Suppose 0 = -0*f - 5*f. Let u(m) = 2 + f + 2 + 1 + 6*m. Calculate 4*u(d) - 5*v(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(250\/(-80)*4).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 1, -0.5, -0.07.\nAnswer: -0.5, -0.07, 2\/21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*(-20)\/1 + (34 - 42)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (9 - 11) + 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -33*f + 56. Let q(p) = p**2 + 809*p + 1. Calculate b(q(g)).\nAnswer: -33*g**2 - 26697*g + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*b - 2*m, 2*m - m = 2*b - 17. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 5*u + 6. Let t be i(-6). Suppose -2*s - 4*x + 28 = t, -3*s - 3*x + 0 = -27. Solve 0 = -s*b + b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 - -6 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**4\/12 + o**3 - 3*o**2\/2 + 1171*o. What is s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18542.916 + -18616. What is f rounded to 1 dp?\nAnswer: -73.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - (-503 + 510) - (0 + -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28632994 and -1.5?\nAnswer: 42949491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5\/5 - 399*o**4\/5.\nAnswer: 3*o**4*(o - 133)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 398663987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269153?\nAnswer: 79, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*f**2*x**2 + 4*b**2*f*x - 16*f**2*x**2 + 5*f*x**2 - 3 wrt f?\nAnswer: -4*b**2*x**2 - 32*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 4*c + 3. Let f be o(2). Suppose -76 = -f*y + 17. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -48*l**2 - 47*l**2 + 143*l**2 - 4 - 2*l - 49*l**2. Calculate g(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554416 (base 10) in base 5?\nAnswer: 344220131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 64. Suppose -5*u + 5*q + 605 = 0, 0 = -b*u - 0*q - 2*q + 222. Suppose u = t + t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*p - w, -4*p + 5*w = -0*p - 7. Let h be (-10)\/(-25) + 23\/5. Put -2, h, p in descending order.\nAnswer: h, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 2375?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzznzznnnzznnznnnnz. Give prob of sequence zznn.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (999*m + 998*m + 1002*m - 10378 + 651 - 2998*m)*(-m + m + m**3).\nAnswer: m**4 - 9727*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 39. Suppose 6*l + 12 + 6 = m. What is the tens digit of (3 + l - 412)*3\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 7*k - 2. Let j be h(-8). Let s = 3350 + -23503\/7. What is the common denominator of (-903)\/(-385) + (-2)\/j and s?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 403.5 - 403. Let f = -0.039 - -0.039. Put r, f, -2\/7 in decreasing order.\nAnswer: r, f, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 28*y**3\/3 - 19*y**2\/2 - 6*y + 9. Let r(o) be the first derivative of w(o). Is r(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-15))\/(4\/105)*1492\/1865?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124495286411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t = 3*u - 236, 0 = t + 5*u + 36. Let o = -81 - t. Let l = o - -40. Solve 0*m + l = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100554 (base 6) in base 13?\nAnswer: -3838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 579600 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(84)*-3 - sqrt(84))\/((sqrt(12) - sqrt(108))*-4) + ((-1 + sqrt(7) - sqrt(7)) + 5 - (sqrt(7) + 4 + 5)) + 1)**2.\nAnswer: 3*sqrt(7) + 1087\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 8*s + 5*f = 29, -5 = -f. Let a(l) be the third derivative of -1\/60*l**5 + 0*l + 0 + 18*l**s + 1\/3*l**4 - 4\/3*l**3. Calculate a(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 30*x - 25. Let d be y(25). Round d to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 5068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgt when three letters picked without replacement from gtgptgtmhttmttphgtb?\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 980785157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9576 + 9576. Let v = 0.6 - 8.6. Sort v, f, -4.\nAnswer: v, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 268\/(5\/5)*3183\/(-12732)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, 0.09, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7047 + -2225. 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 934272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxgxnxxxnx. Give prob of sequence gxnn.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 + n - 1. Suppose -16*w - 52 = -4. Let p(s) = -3*s**2 - s + 1. Let d(a) = w*c(a) - 3*p(a). Let f(r) = 3*r**2 + 15. Give d(f(k)).\nAnswer: -27*k**4 - 270*k**2 - 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a - 10. Suppose -4*i = 5*y - 59, 0*i - 3*i = -3*y + 57. Let v be y\/(-90) - (-107)\/(-6). What is the tens digit of f(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + u**2 + 2. Let n be h(0). Let d be 33\/(-77)*(8 - 13). Factor 0 - 3*w**n - d*w**3 - 6\/7*w.\nAnswer: -3*w*(w + 1)*(5*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12, 41, 102, 201, 344, 537, 786, 1097?\n\"Answer: l**3 + 10*l**2 - 8*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*z + 312, -2*z - z + 4*j = -508. Suppose 276*s + 78 = 289*s. Suppose -s*p = -1342 - z. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -152 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 5:27 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwckggrrrgcgrrkgggkg. What is prob of picking 2 k and 2 g?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 2*q**2 - 115*q - 342. Give c(-9).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44218 * -1.2.\nAnswer: -53061.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28601262?\nAnswer: 2, 3, 176551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {t: 1, s: 7, y: 6, k: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*f + 14. Suppose u - k - 5 + 4 = 0, 5*u = 3*k + 7. Suppose -u*d + 7*d - 25 = 0. Solve -d*w + 9 = -4*s, 3*s - f*w - 5 + 13 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 751*p**3 - 751*p**3 - 149*p**4 - 114*p**4 + (2*p + p**2 - 2*p)*(15*p**2 - 6*p**2 + 16*p**2) to h*p + g*p**2 + c*p**3 + o*p**4 + r and give o.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52a3b (base 12) in base 10?\nAnswer: 108623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -3.46.\nAnswer: 17.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27.50044km?\nAnswer: 27500440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -2. Let o be (-17*(-2)\/(-17))\/(((-3)\/7)\/(-3)). Which is the closest to o? (a) 0.5 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + z + 2*z + (0 - 2 - 11)*(0 - z + 0) + z + 2*z + 0*z)*(-6*z + 3*z + 0*z)*(-31*z - 6*z**2 + 31*z).\nAnswer: 252*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 6. Suppose 0 = 4*c - a + 20, 3*c - 3*a = -8 - 7. Let r be x(c). What is the highest common factor of 48 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10991 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 1246020*g**2 - 129380486700*g.\nAnswer: -3*g*(g - 207670)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4054.\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*u - 30*u + 65*u + 205*u**2.\nAnswer: 205*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -1\/5 - 1\/5*c**2 + 2\/5*c = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - i. Let t(g) = 27*g**2 + 428*g + 120. Let b(x) = -2*r(x) - t(x). Let b(q) = 0. Calculate q.\nAnswer: -20, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24808 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((720\/255)\/(-4))\/((-6)\/15 - (-65)\/(-25))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 600*o + 2415. Let t be j(-4). Which is smaller: 77 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 37 - 43 = 0. Suppose b + 1604 = 5*a, -4 = -3*b - x. Suppose 140 + a = 5*y. What is the remainder when y is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 437504305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -93*u + 2230. Calculate j(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**5 - 28*f**4 - 112*f**3 - 80*f**2 = 0. Calculate f.\nAnswer: -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvovkovkvkodk. Give prob of picking 1 o and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.05, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 - a**5 + a**5 + (-2*a**4 + 0*a**3 + 0*a**3)*(-11832 - 5832*a + 11832).\nAnswer: 11666*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*w - 4 = 0. Let d be (-15)\/(-5) + -4 + (3 - 1). Solve 4*x + 5 = -i - 8, 0 = w*x + 5*i + d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181852, -181854, -181856, -181858?\nAnswer: -181860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -11, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56410.5 rounded to the nearest one thousand?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(98) - (sqrt(98) - sqrt(98)*2)) + sqrt(98) - sqrt(98))**2.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -12. What is the units digit of 559\/n - 2\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 - 12833\/(-164). Suppose -30*m - 240 = -q*m. Solve 0 = -m*z + 2*z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2. Let w(f) = 9*f + 33. Calculate -18*l(a) + w(a).\nAnswer: 9*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 253*i**4\/4 - 509*i**3\/6 - i**2 - 1044*i. What is the second derivative of m(u) wrt u?\nAnswer: 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y**3 - y**2 - y - 6. Suppose -2*k + 10 = -2. What is the lowest common multiple of b(-2) and k?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-1)\/(15\/(-95)))\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-60)*-2*4. Let k(j) = -j**3 - 8*j**2 - 2*j - 10. Let z be k(-8). Let u = -1 + z. Which is the closest to 0.1? (a) -0.3 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - 41. Let a(x) = -24*x**2 - 9*x**2 + 99*x**2 - 21*x**2 - 23*x**2. Give a(k(h)).\nAnswer: 352*h**4 - 7216*h**2 + 36982","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 221311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.452257 weeks to hours.\nAnswer: 579.979176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 107 = -4*r, 105 = 4*b + 5*r + 3. Let f be (-138)\/b*3\/(-6). Solve 3 + 7 = 2*s + z, -f*s + 4*z + 4 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 - 9058*j\/5 + 20511841\/5.\nAnswer: (j - 4529)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2 - 3*m + 4. Let r be d(-3). Let f = r + 68\/3. Is 1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-213)\/1988)\/(3\/(-7)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -7632.\nAnswer: -7632.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 5, x: 12}. Give prob of picking 1 k and 1 x.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.78 and -538.787.\nAnswer: -547.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*19820\/(-33694)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 > 119988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5 (b) -9\/7 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) 0 (c) -221181 (d) -0.4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.108206 + -0.018183. Let k = -0.09 + o. Round k to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i - 5*i**3 + i + 2 + 3*i**2 + i**2 + 4*i**3. Let n be l(2). Let m = 7 - 4. Sort -1, n, m.\nAnswer: -1, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**3\/3 - 5*a**2 + 5*a. Let i be h(6). Solve -3*c - 4*d = 17, 5*c + i*d - 15 = 4*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2 = -221*x + 226*x, 2*u - 81 = -67*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -17\/3*s**3 + 1\/8*s**6 + 0*s + 0 + 0*s**5 + 0*s**4 - 6*s**2. Differentiate t(y) wrt y.\nAnswer: 45*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*s + 7873 - 8103 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822812?\nAnswer: 2, 205703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/3 + 2*d**2\/3 - 43*d\/3 + 40\/3 = 0 for d.\nAnswer: -8, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + t + 3 = 0, -2 = -5*m + t - 8. Which is smaller: m or 8\/71?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3050 (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/7, 64142, -86?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from hbbbxxohboxxbhh?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 199396 + -82948843\/416. Calculate the common denominator of g and -53\/22.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/13912169 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 3, j: 1, r: 1, n: 5}. Give prob of picking 3 z.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3\/2 - 39567*d**2 + 237444*d - 316608 = 0.\nAnswer: -26384, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-115)\/35 - 6\/(-2). Sort -5, -3, q in descending order.\nAnswer: q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, y: 1, k: 5, j: 3}. What is prob of picking 1 y and 3 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*(sqrt(132) - (sqrt(132) - 2*sqrt(132)*2)))\/((sqrt(120)\/(sqrt(2)*2))\/(3*sqrt(45))).\nAnswer: 1728*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 144\/11 or 12?\nAnswer: 144\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 14*k - 10. Give r(-11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 - -11.3. Let c = -104 - -115. Let n = f - c. What is the closest to n in 2, -2\/19, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/(-4) - (-105)\/36 and 55\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 21 = 4*d, -d - 3*r - 2*r = 9. Let w be (2\/d)\/(3\/48). Let x = w + 25. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, -10, -36, -64, -94, -126, -160?\n\"Answer: -k**2 - 21*k + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*4\/(-18).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113\/(-13) - -2 - ((-18)\/5)\/(7976\/19940)?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10*j + 0 - 4*j + 10*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = 13*u - 8*u + 3*s, -6*s = 2*u + 70. Let x be u\/49 - (-2 + 0). Factor -76\/7*l - x*l**3 + 24\/7 + 66\/7*l**2.\nAnswer: -(l - 6)*(3*l - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9 - -1.1. Let h = -6110 - -6109.6. Put 0, h, -0.7, w in descending order.\nAnswer: w, 0, h, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/33)*h**(-4\/19)*h)\/(h**29*(h**8\/h)\/h) assuming h is positive.\nAnswer: h**(-21431\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864 is divided by 863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -17*y - 5. Let z be i(-1). Solve 3*w - z + 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, k: 2, z: 1, c: 3, j: 5}. What is prob of picking 1 j and 1 z?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 + -56 + 86)*(-116)\/8.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -133, -187, -231, -259?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*n**4 - 2*n**2 - 3 - 22*n**4 - 22*n**4 - 19*n**4 to the form q*n**3 + o*n**4 + r + c*n**2 + v*n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*20\/(-15) - -6. Calculate the least common multiple of x\/6 + (-954)\/(-54) and (-618)\/(-39) - (-4)\/26.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 25 (c) -442 (d) -2 (e) -13\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Let m(p) be the second derivative of p**6\/72 - p**4\/4 - p. Let y(v) be the third derivative of m(v). What is s(y(k))?\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 2*u + 12 + 5 + 17 - 26. Let q be h(-4). Calculate the highest common factor of q and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5487289054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6958017 divided by 6.\nAnswer: 2319339\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13088, 2, 5 in decreasing order.\nAnswer: 5, 2, -13088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 123467420 rounded to the nearest ten thousand?\nAnswer: 123470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14811 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/323104 and 75\/38632.\nAnswer: 3554144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j + 5. Which is the second biggest value? (a) 1\/5 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4285 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 657, 658, 659, 660, 661?\n\"Answer: g + 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13378\/21 - 4464\/7. Put -0.5, d, -2\/7 in decreasing order.\nAnswer: -2\/7, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 124*((-1)\/(-6))\/(94\/141). What is the highest common divisor of u and 1829?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttntttttntt. What is prob of sequence ntt?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w**2 - 4*w - 13. Is 38 a factor of g(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y + 4. Suppose -4*d - 28 = -2*d + 5*w, d - 4*w = 12. Let g be b(d). What is the highest common factor of g and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 3?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 6, 9, 12, 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y - 16, -5*r - 3*y = -47. Let b(k) = 122*k**2 - 2*k + 47. Is b(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, -0.2062, 3, 26\/7 in increasing order.\nAnswer: -155, -0.2062, 3, 26\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - 3*f - f)*(1 + 0 + 0)*(-f - 4*f + 4*f) + (4*f + 3*f - 2*f)*(0*f - 3*f + 5*f) to v*f**2 + m + b*f and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 3, w: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 239 + 30. List the prime factors of n.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 12, g: 5}. Give prob of sequence mog.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oozowmy. What is prob of sequence ym?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10737667 - 30.\nAnswer: -10737697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795336 greater than 1795287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(24) - sqrt(96)\/(sqrt(12)\/sqrt(3)) - (sqrt(96)\/(sqrt(8)\/sqrt(2) + sqrt(4)) - sqrt(24) - sqrt(24))))\/(sqrt(96)\/sqrt(48) + 4*sqrt(648)).\nAnswer: -6*sqrt(3)\/73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51268, 102402, 153534, 204664, 255792?\nAnswer: 306918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**3 + 14*a**2 + 11*a**2 - 2 + 11*a**2 + 7*a**2 - 367*a - 45*a**2 to s*a + m + j*a**3 + u*a**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 101, 205, 309, 413, 517?\n\"Answer: 104*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -1, 1\/463?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 11*f**2 + 18*f - 26. Let t be r(-8). Solve -t*q + 23*q + 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1094225\/163 or 6712?\nAnswer: 6712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w + 24. Let x be p(5). Let i = x + -46. Solve -i = 5*v - 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.40105 to two decimal places.\nAnswer: 24.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brl when three letters picked without replacement from {r: 3, v: 2, b: 8, l: 4}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9417753*2\nAnswer: 18835506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-6)\/(-4))\/(18\/10).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a gram in milligrams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, k: 6}. What is prob of sequence kkii?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -286 + 289. Suppose -5*l = -4*f + 27, -3*f = -8*f + t*l + 37. Suppose 0*a = 3*r + 4*a - 26, 5*r = a + 5. Solve 5*u - f - 21 = m, -8 = r*m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 18. Let b be n(6). Let y = 294 - b. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 209\/2693670 and 121\/9697212?\nAnswer: 48486060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 2. Let t = 110 + -106. Suppose 10 = t*c + 2, 4*m + 3*c - 10 = 0. Calculate the highest common divisor of m and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r. Suppose 10 = -5*s + 4*g, 3*s - 5*g + 10*g = 31. Let d(y) = -3*y**2 + 3*y**2 + y**s - 2*y - 3*y**2 + 3*y**2. Calculate m(d(x)).\nAnswer: 3*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0536 - -0.0736. Sort -2, -0.3, t in decreasing order.\nAnswer: t, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p**2 - p - 1. Let g be -8*(3\/6 + -1). Suppose -g*w + 20 = -16. What is the remainder when v(2) is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 + 5)\/(2\/4). Let a = 32 - x. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -333 + -15?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*((4*j - 2*j + 0*j)*(-4 + 0 + 2) - j + j - j + (-2 + 3*j + 2)*(-3 + 0 + 1) + 2*j + j - 2*j).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 25, -66, 0.1, -0.2, -10\/7, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*(-87)\/(-3016)*4*117.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5879 + -5879.5. Let g = 0.04 + 0.26. Let i = 127 + -1019\/8. Which is the closest to g? (a) q (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*q - 1\/6*q**3 + 1\/6*q**2 - 2\/3 = 0. Calculate q.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2118*x**3 + 47*x**2 + 4.\nAnswer: -12708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -793 + 841. Let c be (49\/14 + -4)*b\/(-6). Solve -c*u = -0*u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 0*r**5 - 11\/3*r**6 + 0*r**3 + 11 + 0*r + 3*r**2 + 0*r**4. Find the second derivative of a(n) wrt n.\nAnswer: -440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2084\/25008 + 9\/24*2.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*o + 332 = -12*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**5 + 30*l**5 - 4282*l**2 - 304571 + 304571 + 78*l**4 wrt l?\nAnswer: 1620*l**2 + 1872*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 + 141. Let z = -41 + c. Solve -3*j = -x + 2*j - 23, -3*x + 5*j - 29 = z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oamavqqu. What is prob of sequence ao?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-9) - (-7)\/(-12). Suppose 2*l - 3*l + 3 = 0. Which is the closest to y? (a) 2 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 337165.4.\nAnswer: 303448.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -47426210 divided by 5\nAnswer: -9485242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i + 0*i)*(3*i**2 - 6*i**2 - 7*i**2) - i**2 + i**2 - 5*i**3.\nAnswer: -45*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5108.\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**6\/10 + p**5\/20 - 3*p**4 - 10*p**3 - 8*p**2 - 53*p. Factor h(w).\nAnswer: (w - 4)*(w + 2)**2*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + 1d42306?\nAnswer: 1d422da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.004 * -0.054.\nAnswer: -0.000216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*((-8)\/(-24))\/((-6)\/27). Let q = -6 + 2. Put 4, q, o in ascending order.\nAnswer: q, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)*r\/r**0*r*r**3*r*r\/(r**(-3\/5)*r) assuming r is positive.\nAnswer: r**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -4, 3 in increasing order.\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -32\/19, 5.8, 5\/4, -0.09?\nAnswer: -32\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903260 is divided by 4125.\nAnswer: 4010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**29*f*f*f*f**(-19))\/(f**12*f*f)**(-35) assuming f is positive.\nAnswer: f**503","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**4\/4 + 2*j**3 + j**2\/2 + 8*j + 5. Let k be z(-6). Suppose k*h - 25 - 7 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 2*y + 284. Calculate o(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-8)\/144*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c - 6*c**2 + 9*c)*(-c + 2*c**2 + c)*(5*c - c - 5*c).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 100100111001001?\nAnswer: -100100111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -5. Let z = a + 18. Suppose z = -4*g + 6*g. Solve 0*q - 3*q = g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/12)\/(220\/33).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54588 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 325 - 107. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a - 15ee?\nAnswer: -15c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 >= -226199.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 8*l + 10)*(-1 - 2*l + 1).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3102 + 4266. What is the highest common factor of 36 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.1, -2 in decreasing order.\nAnswer: 0.1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -14 + -3 + 4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -107735883*f**3 - 64451263.\nAnswer: -323207649*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -83*n + 496. Let c be q(6). Which is smaller: c or -16\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 24 = -6. Suppose -4*v + 0 = -o + 6, -r = -5*o - 3*v. What is the second derivative of -2*b - 6*b**2 - b**3 + o*b**2 wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1561390 and -0.34.\nAnswer: -530872.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-4) + 2\/(-8). Suppose -2*m = -r - 17. Let t = m + 25. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(8) - ((sqrt(8) - (sqrt(80)\/sqrt(90) - sqrt(8))) + sqrt(8))))**2.\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x + 29244 = 4*b, -3*b = -3. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1751 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -163*f + 173*f. Solve f*x + 0 + 95 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26, 43, 86, 167, 298, 491, 758, 1111?\n\"Answer: 2*s**3 + s**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44522 = 137*x - 40138 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6*165\/(-330). Sort 0.5, -2\/75, b.\nAnswer: -2\/75, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*41.\nAnswer: 2.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 485141 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 18 = 3*k. Let f be k\/(-15)*25\/(-1). What is f rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 230010 - 14133?\nAnswer: 211433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7952\/(-7))\/(2 - 1 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8476 - -8793. Sort -3, i, 3 in ascending order.\nAnswer: -3, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(80))\/(-1*sqrt(32)))\/(1*(sqrt(72) - -6*(sqrt(72) - sqrt(72)*-2))).\nAnswer: 5*sqrt(5)\/228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2 + 4 - 1 + 6 - 7 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 922*j**3 - 865*j**3 + 5 + 4 + 1785*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -18. Let g be (-17)\/(-4) + (-3)\/m. Suppose g*q - q = 27. Solve 4*k - q = 5*w, 4*k - w - 4 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/9 - 65*t\/3 + 5746\/9.\nAnswer: -(t - 26)*(t + 221)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from {k: 1, q: 2, y: 2, d: 1, n: 2, r: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149464820 to the nearest integer?\nAnswer: 12226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2679*-12160.\nAnswer: -39737.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65 - 77044?\nAnswer: -77131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 - 4 - -5 - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -25*z**7\/42 - 13*z**3\/3 - 13*z + 30. Let s(g) be the first derivative of h(g). Find the second derivative of s(i) wrt i.\nAnswer: -500*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/465 - (-26)\/255)*-1?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 4*v - 3. What are the prime factors of g(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + s**2 - 4*s + 5*s**3 - 2*s + 9*s**3 - 8*s**3 + 4*s to h*s**2 + v*s**3 + d*s + q and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3570\/41 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -13*w**3 - 47*w**2 - 17*w + 11. Let o(p) = 40*p**3 + 140*p**2 + 52*p - 32. Let h(m) = 3*o(m) + 8*z(m). Factor h(l).\nAnswer: 4*(l + 1)*(l + 2)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, -0.1, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, 6, 38, 84?\n\"Answer: 7*j**2 - 3*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*f + 1336 - 366, -4*m - 652 = -2*f. Calculate the highest common divisor of 36 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.69 + 0.79. Let j = -45637\/28 - -15352\/7. Let w = 569 - j. Which is bigger: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/11 - 700\/1320*6. Sort 5, x, -5 in ascending order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4106164, -8212326, -12318488, -16424650, -20530812?\nAnswer: -24636974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17 - -2)*(-2)\/(-30)*-5. Suppose -23 = -3*w + 2*f, 0 = 2*w + m*f - 6 - 3. Let g(r) = 3*r - 16. Calculate g(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Let f(o) = -3895*o - 130. Let l(a) = -487*a - 16. Let c(i) = -8*f(i) + 65*l(i). Calculate c(p(d)).\nAnswer: 495*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, l: 3}. Give prob of sequence lll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*2*sqrt(110) - (sqrt(110) + (6*(-1*sqrt(110) + sqrt(110)) - sqrt(110)))))\/(sqrt(30)\/(sqrt(3)*3) + sqrt(1000)*-2).\nAnswer: 72*sqrt(11)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -135*(-11)\/((-396)\/(-24)). What is the highest common factor of 1710 and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -2\/9599, 4, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285647106 divided by 491.\nAnswer: 581766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t - 276 = 13*t. Suppose -t*l + 1066 = -3698. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*p - 2)*(-12 - 38 + 15) in the form u*p + m and give u.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbdbbdbdpddddp. What is prob of picking 3 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 0)*(-1 - 4 + 4)*(0*a - a + 2*a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177365, -354693, -532023, -709355, -886689, -1064025, -1241363?\nAnswer: -1418703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n + 1, -4*n - 889 = -5*d. Let b be (2 - 0)*(-3)\/d. Which is greater: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from pppppuppupupupppup?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/20 and 11\/642160.\nAnswer: 642160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5353954503.\nAnswer: 3, 433, 1973, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/2 - 0\/(2 + 2). Let x(q) = -q**3 - 4*q**2 + 4*q + 4. Let h be x(w). Solve h = -5*z + 4*c - 0*c, 0 = z + c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 7 + -1 - (0 - 1). Suppose 4*f + g*u = 496, 2*f - 4*u = -0*u + 248. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701595868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3\/(18\/(-42))*(2 - 52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 5*x + 4. Let q be h(-4). Let w(p) = -6*p**2 - 3*p - 2. Let i be w(4). Let k be (-2)\/6 + i\/(-15). Solve q = 3*t - k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-931)\/(-114)))\/(1\/28)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21453 - -21455. Solve -q = -s*a - 3, 17*a + q + 7 = 14*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34826 (base 12) in base 16?\nAnswer: 1129e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -615, -606, -597, -588, -579?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 22 - 43 + 2*y**2)*(3 + 3 - 4 + (-4 + 5 - 3)*(-1 + 4 - 4)).\nAnswer: 8*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 131, 136, 145, 158?\n\"Answer: 2*z**2 - z + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**5 - 106590*d**4 - 946679067*d**3 + 1894104324*d**2 + 2840676804*d = 0. What is d?\nAnswer: -17766, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dud when three letters picked without replacement from ddmu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1))**(-2\/137))**(-50))**31 assuming r is positive.\nAnswer: r**(-3100\/137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 2*a - 16 - 2, -3*f + 10 = 2*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2 - -1) + -2)\/((-3)\/2). Solve 0 = -h*a + 4 + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from uxxaaxaxxueea.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 + 244*a - 7248\/5.\nAnswer: -2*(a - 604)*(a - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 690*x**2 + 32431*x + 67. Determine y(-47).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -68*z. Let c(q) = -487*q - 76. Let v(b) = -c(b) + 7*y(b). What is v(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(3\/18). Suppose 5*x = -s + 14, r*x + 2*s - 7 = -0. Suppose 2*a + x*a = 170. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 7*t**2 + t - 5. Let a be r(7). What is the least common multiple of (3 - a)\/(4 + -3) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4 + v**2 - 13*v**2 + 0. Let r(l) = 304*l**2 - 352*l + 11. Let o(i) = -202*i**2 + 220*i - 11. Let n(k) = 8*o(k) + 5*r(k). Calculate 4*n(j) - 33*u(j).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*n**2*p**3 - 27843*n**2*p + 758*n*p**2 + 3*p**3 wrt p?\nAnswer: 84*n**2*p + 1516*n + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4 - 350*w - 6 + 348*w + 2. Let q(l) be the second derivative of 12*l**3 - l - 2. Give z(q(k)).\nAnswer: -144*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2342929, -9371715, -21086359, -37486861, -58573221?\nAnswer: -84345439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqd when three letters picked without replacement from {c: 2, q: 3, e: 1, y: 2, f: 3, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 21*h - 3. Let m = -7 - 14. Let x be c(m). Let g be ((-3)\/(-2))\/((3\/(-2))\/x). Solve g*p + 0*p = 3*z + 24, -3*p = 4*z + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from biarbinbarbabb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 159 + 171. Suppose -w*c = -3*j - 354, 244 = -6*c + 8*c + 2*j. Calculate the highest common divisor of 150 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-192)\/84 - (-2)\/7. Let l = 0 + k. List the prime factors of 2\/(l + 52\/24).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 605390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose -170 = -5*k - 5*g, 5*k - 5*g - 162 = -c*g. What is the greatest common factor of k and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2177 is divided by 686?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y**(1\/3)\/y))\/(y**(-2\/13)*y))\/(y**(4\/7)*y*y\/y**(-6\/11)))\/(y**(-5)*y**(-6)\/y*y\/(y**(-1\/5)*y)*y*y**(-1\/6)) assuming y is positive.\nAnswer: y**(290399\/30030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-1))\/((-1765)\/10). Let p = 1806\/9913 - -15025677\/13997156. Let q = p + z. Which is the second biggest value? (a) 1\/5 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -34 (b) -5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -523*w - 2 - 683*w + 5522*w + 1676*w + 3579*w.\nAnswer: 9571*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6505545 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9300\/(-510)*1\/2 - (-586)\/4981?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 - -2.74. Let v = -0.34000177 + t. What is v rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(18) + 4 - (sqrt(98)*-4*3 + sqrt(98))) + -2 + -5.\nAnswer: -1 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 692 - 1438. Let g = n + 341. Let h = -404.99999829 - g. What is h rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -15 + 13 + 7 + 38\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -5, 2\/13, 2\/43, 0, -2153, 0.4?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11011717 + 0?\nAnswer: -11011717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94\/3*b - 12*b**2 - 2\/3*b**3 - 20.\nAnswer: -2*(b + 1)*(b + 2)*(b + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 j, 1 m, and 1 c when four letters picked without replacement from {c: 1, m: 1, j: 1, l: 1, h: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 6 - 9. Suppose -2 = z*m - 2*m. Let i = 1 + 1. Which is the third smallest value? (a) -3 (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*b - 19, 0*b = 2*d + 3*b + 9. Let i be 5*d\/3*-1. Solve -4*v - 15 = i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.1259191 rounded to 3 dps?\nAnswer: -114.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -6*c + 3*c + 629, 0 = 5*c + j - 1039. Suppose -c = 12*f - 1936. Calculate the highest common factor of 63 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o - 33*o = -39833. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, j: 7}. What is prob of sequence cjjc?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325.6669 grams to kilograms.\nAnswer: 0.3256669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(18\/1)*(435600\/(-35695))\/(-40).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 0*j**2 + 0*j**3 + 0 - 3*j - 1\/4*j**4. Let v(c) = -5*c - 3*c + 18*c - 9*c. Calculate r(v(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 32907, -0.5, 1\/10, -0.2, -4 in ascending order.\nAnswer: -4, -0.5, -0.2, 1\/10, 32907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7636*y + 53453. Determine f(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*t + 2*t. Suppose -t*b + 16 = -2*b. Let i = b - 10. Let y(s) = -s. Give y(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4896) - (-2*sqrt(4896) + sqrt(4896) - sqrt(4896)) - sqrt(4896) - sqrt(34))\/(-4*2*sqrt(2)).\nAnswer: -23*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1406164?\nAnswer: 2, 419, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5263 = 3*k + 5246, -4*k = -2*r - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, -9, -35, -83, -159, -269, -419?\n\"Answer: -x**3 - 2*x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 871\/(-900)*(-867)\/(-7). Let v = l - -1712\/175. Let y = v + 110. What is the biggest value in -3, -4\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1123, -2244, -3365?\nAnswer: -4486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 206186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - -0.37. Let s be 30\/(-65) + 15\/117. What is the nearest to 0 in s, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6058171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from {m: 1, r: 2, f: 4, b: 2, z: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90 + 114. List the prime factors of (c\/4 - -13)*37.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*r + 0 + 4 = 0, -17 = -3*h - 4*r. Solve 9*w - h*w - 18 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1724656 is divided by 184?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1085459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**3\/3 - 6*w**2 - 11*w - 1. Suppose 22*l + 40*l = -12*l - 888. Give p(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -24*l + 708. Let i be t(30). Let y be ((-92)\/552)\/(14\/i). Factor 10\/7*v - y*v**2 - 25\/7.\nAnswer: -(v - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13 - (-2 + 2 + 2). Let w = 33 + s. Suppose 2*q - 6 - w = 0. Calculate the remainder when 23 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -16*y + 444. Calculate the remainder when y is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 173277670 and 2650?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}