diff --git "a/data/dm_maths/full_data_2/1501_11255.jsonl" "b/data/dm_maths/full_data_2/1501_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1501_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let g = -7 - -12. Suppose g*b = -32 + 2052. Let v = -270 + b. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = -2. What is the second derivative of 2*j**5 - 3*j - j**y + j**3 - j**5 wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 14221971.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 14. Let b be p(14). Suppose 4*h - 304 - 24 = b. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millimeter in micrometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - ((-10534)\/4 + 3\/6). Suppose 218*b - f = 215*b. Suppose 3*a + 0*a = b. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10718861 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -2 + 0*c**4 + 0*c**3 + 0*c - 11\/5*c**5 - 9\/2*c**2. What is the second derivative of y(w) wrt w?\nAnswer: -132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*2)\/(2*sqrt(1000)).\nAnswer: 3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 362*q - 32*q + 7 - 9.\nAnswer: -394*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/(-1001)*(-5)\/12 and -83\/1068.\nAnswer: 13884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 3*l**2 + 0*l**2)*(-4 - 1 + 3) + 0*l**2 + 37*l + 2*l**2 + 236 - 234.\nAnswer: 6*l**2 + 37*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, -358, -10 in descending order.\nAnswer: -2, -10, -13, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 17*i + 26. Does 12 divide s(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9100127 minus -1?\nAnswer: 9100128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 6*u - 7. Let l be y(5). Suppose -4*r + 2*f + 76 = 0, -2*r + 4*f - l = -57. What is the second derivative of -x**4 + r*x - 9*x - 8*x wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-12))\/(4\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178535*j*z + 182777*j with respect to z.\nAnswer: 178535*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5560735.\nAnswer: 5, 1112147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 3*u - 30. Let i be g(5). Put 3, -5, i in descending order.\nAnswer: 3, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -3*z. Let y be (1 - z)\/((-10)\/(-180)). Suppose 4*l - 2*l - y = 0. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -8. Let y = g + 4. Suppose -2*r + 24 = 4*f + 2, -3*f + 3*r + 21 = y. Solve 2*s = b + 15, -b + f*b = 5*s - 50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1658554.4 to the nearest 10000.\nAnswer: 1660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 4) to base 15\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-16) + (-20304666)\/(-144) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 36 (b) 0.2 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -4*r - 101. Solve 4*t + 13 = -r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*n**5 - 15*n**5 - 5 + 6*n**4 - 18*n + 4*n**2 - 5 + 20*n**3.\nAnswer: -2*(n - 5)*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114 divided by 2\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nznnnnnzzz. What is prob of sequence nnnn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-721)\/(-8) + 21\/(-168). Suppose t*g = 93*g - 150. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 13456 = -2*r, -17*l + 13*l + 53828 = 4*r. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23362149 to the nearest integer?\nAnswer: 4833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from {f: 6, h: 11, r: 1, c: 1}.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189716?\nAnswer: 2, 43, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 434229 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or 219?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/27)*s**(-4) assuming s is positive.\nAnswer: s**(-106\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2094008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 239*i**3 + 6*i**2 + 5*i + 16. Let y be x(-8). Is 2\/(-7)*-1 - y\/56 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11*b**3 + 7*b**2 + 12*b - 5. Let u(o) = -9*o**3 - 6*o**2 - 11*o + 5. What is 7*u(n) + 6*y(n)?\nAnswer: 3*n**3 - 5*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675 is divided by 230?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x, 2*x + 2*x - 18 = -m. Let g = -63 + 17. Let r = -45 - g. Solve -5*l + 2*f = -r, 8 = 2*f + m*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3\/7 + 64172*g**2\/7 - 3523062*g\/7 - 11146788\/7 = 0.\nAnswer: -3, 58, 32031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -90, -218, -394, -618, -890?\nAnswer: -1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1\/291160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(20) + -4*(sqrt(5) + -1 + sqrt(5)))**2*2*2.\nAnswer: 48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300 divided by -763128.\nAnswer: 25\/63594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from bilimic.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1260975.55 and 1.\nAnswer: 1260975.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -948 or -946?\nAnswer: -948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -394703924187*w**4 + 150167322*w**3 + 394703909904*w**2 - 150167322*w + 14283 = 0.\nAnswer: -1, 69\/362723, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7405 - 3430. Suppose 8*k - 5*k = 4*u + d, 9 = 3*u. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82965193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + x = -15, 21 = k - 5*x + 2. Suppose 0 = 2*g + 3*n + 4, 5*g + k*n + 3 = 7. Solve s + g - 1 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**9*(s*(s**(-1)*s)\/s*s)\/s*s**(-1\/6)*s assuming s is positive.\nAnswer: s**(-103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**4 - 80 - t**3 + 156 - 2*t - 76 - 10*t**2 as d*t + b*t**2 + f + u*t**4 + z*t**3 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2 and -46\/9033.\nAnswer: 18066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/47, -3, -4, -1.1, -0.02, -5 in descending order.\nAnswer: 2\/47, -0.02, -1.1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -666 - 31*a - 59*a + 670 + 23*a. What is h(-2)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/10 (b) 0.091 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 209\/52 <= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 2. Give b(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2618 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 8. Let u be t(-7). Let g(s) = 219*s**2 + 2*s + 1. What are the prime factors of g(u)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 - 1)*(-30*n**2 + 64*n - 64*n) + (-n + 0*n + 5*n)*(-4 - n + 4) in the form h + m*n + v*n**2 and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a week in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 18. Let d(a) = -21*a - 18*a - 22*a + 59*a. Calculate g(d(s)).\nAnswer: 4*s**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 54 + 4*r - 8 + 51.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 29*w - 2. Let j be p(-18). Let q be 63\/j + 3\/(-4). What is the biggest value in q, 1\/8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*b - 2976 = 78*b. What is the least common multiple of 6 and b?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38657272 and 944?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 + 5*b + 5. Let f(d) = -4*d**2 - 4*d - 4. Let z(n) = -3*f(n) - 2*y(n). What is z(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)\/(((((r\/r**1)\/r)\/r)\/r*r)\/r))\/((r\/(r\/(r*r*r**(-15))))\/(r**(3\/23)*r)) assuming r is positive.\nAnswer: r**(187\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -122*2.5\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nineteen quarters of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1788150 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:00 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-21)*6\/(-30)*-5.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3314708 and 17?\nAnswer: 56350036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470015 divided by 5.\nAnswer: 94003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35094629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 + 2*r. Let a(v) = 15*v**2 - 2*v + 7. Let b(g) = -a(g) - 4*j(g). Let n be (4 - 0)*(-3)\/2. Let i = 0 - n. Give b(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24475637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.52 - -2.93. Round b to zero dps.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/28)\/(4\/14). Suppose -4*t - 3*h + 23 = -2*h, 9 = 3*t - m*h. Suppose 0*a - 60 = -t*a. Calculate the least common multiple of a and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9335 <= 9334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2. Let h(x) = -x - 4. Let k(j) = -1. Let f(g) = -h(g) + 4*k(g). Give s(f(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2992605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169 - 130. What is the greatest common divisor of w and 741?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/(-12)*5283\/2348?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*y - 6*y - 30043, x = 5. Let u(s) = 58*s - 2351. Let r be u(-33). Let t = r - y. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53 - 30*n + 53 to the form f*n + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 7:53 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.5, 4, 1413, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, -7 in descending order.\nAnswer: 17, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 2*a. Let i be v(-4). Suppose 65 = 38*b + 4*b + 65. Which is greater: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 + 730*k**2 - 785*k + 54. Give w(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m + 4. Let c(z) = 29*z - 5. Let r(n) = -5*n + 1. Let h(x) = -c(x) - 6*r(x). Suppose -6*f = 3*t - 2*f + 18, t + 16 = 2*f. Give t*h(w) - 2*l(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-2))\/((-1)\/((-2)\/(-4))). What is the highest common factor of g and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/286 and 61\/8736?\nAnswer: 96096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 56, 0.2, -1\/6, -3, 2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rugurrurwwumggmuu. What is prob of sequence urwg?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2661 and 0.2?\nAnswer: 532.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 2:29 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 111299 = -3*j + 95393, -5*h + 137780 = 2*j. Let f = 128300 - j. Round f to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**6\/10 - c**4\/12 + 3*c - 3. Let i(s) be the first derivative of p(s). Find the third derivative of i(b) wrt b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140189 and 586505?\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 + 6 + 13).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521214051?\nAnswer: 3, 43, 4040419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-301)\/(-385)*5*8\/(88\/(-121))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969980?\nAnswer: 2, 5, 11, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49780 divided by -4.\nAnswer: 12445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 57*u**2 + 77*u**2 + 59*u**2. Let q(g) = -2*g**2. What is q(v(h))?\nAnswer: -74498*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -2. Which is the smallest value? (a) 0.02 (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 8:56 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = v + 3*g, -v - 173 = -4*v + 5*g. Suppose -10*q = -7*q - v. What is the remainder when q is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000058491245 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -160*b - 5. Is z(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40375157?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 796 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-3)*(-34)\/(-357). What is the nearest to -0.5 in -6, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + -1 + 2) - (-6 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/12)\/(3\/24). Suppose 654 = 2*u - 2*j, -j - k*j = -4*u + 1310. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -34*p**3 - 17*p**2 + 17*p + 17. Let z(a) = -a**3 - a**2 + a + 1. What is j(u) - 17*z(u)?\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -340*w + 16. What is the hundreds digit of m(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 8*j + 4. Let p be f(-3). Let b(w) = 2*w**2 + 11*w + 21. Let t be b(p). Suppose t*v = 8*v - 290. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100021 (base 3) to base 9.\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -9.7, 2\/21, -13, 1\/5, -50?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 + 384000*a**2 + 73726463976*a - 589836288064.\nAnswer: (a - 8)*(a + 384004)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 12*d**2 - 27*d + 66. Give a(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/15 + 324\/10. Let y = -27 + a. Which is greater: 4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4 + 2)*(-1)\/1)\/2. Let t be 5\/5 + y + (-2 - 399). What are the prime factors of 2\/(-6) - t\/9?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p - 103*p + 83*p - 8*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 17647760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -13*l + 38. Calculate t(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {y: 2, r: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 3*n**4\/8 - 6*n**2 - 76. Let y(k) = 26*k**2. Determine g(y(c)).\nAnswer: 234*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1137 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.67 - 0.33. What is the nearest to n in -2, 5\/2, 2\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243 and 189.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7084784 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 1\/6, -10\/9, 5, 0.2, 0.08?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7116 + 7155. What is the greatest common factor of 462 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 2*t + 2*t)*(-t - t + 0*t) + 723*t**2 + 7 - 721*t**2 + 1 to the form o*t**2 + a*t + s and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 182.235384433 less than -0.04?\nAnswer: -182.275384433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31793217 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1449\/(-1035))\/(7\/(-10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.065 times 50.49\nAnswer: 53.77185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1976 and 71\/2280.\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-195) + 1298\/(-25311)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 + -404?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 5 (c) 124 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 494657 - 935657. What is v rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35298226 or -35298237?\nAnswer: -35298226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*v + 4*u, -3*v + 2*u + 1 = -20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -6\/11 (b) 3\/14 (c) 676\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -17 - ((2 - -1) + 3) - -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/35)\/(-1))\/((4\/28)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-29)\/(v\/(v*v**(-10\/11))))\/(v\/(v*(v*v**(-29)*v)\/v))**(20\/7) assuming v is positive.\nAnswer: v**(-1209\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 4:14 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*p - 11. Suppose -p = -7*n + 96. What is the greatest common factor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.27 - -0.99. Let f = h - 1.3. Let a = -0.96 + f. Which is bigger: a or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from ijyyyjjyyijjcji?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.5, 0.2, -1\/9, 1 in decreasing order.\nAnswer: 2, 1, 0.5, 0.2, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4837728*u**2. Let h(d) = -2*d**2. Calculate h(o(m)).\nAnswer: -46807224403968*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (13 + (-10 - 3)) - -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*z = -1461 + 149. Let p(a) be the third derivative of 0 + 0*a + 0*a**3 + 3\/8*a**4 - z*a**2 + 1\/10*a**5. Factor p(q).\nAnswer: 3*q*(2*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 26 + (1 - (28 + -5))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -547.9 - -547.7. Which is the nearest to 1? (a) z (b) 0.07 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1722 - -1722. Let u(h) be the first derivative of c*h - 5\/6*h**6 + 7\/3*h**3 + 0*h**2 - 1 + 0*h**4 + 0*h**5. What is the third derivative of u(s) wrt s?\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.471588*-5.\nAnswer: 37.35794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -122043354 divided by 6\nAnswer: -20340559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-720)\/210*(-126)\/36\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = 3*x + 2*l, -x + 85 = 5*l - 32. Sort x, 4, -3 in ascending order.\nAnswer: -3, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (3 + -1)) + (47 - 3) + 245 + -255?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 10 = -2*d - 4*z, -2*z = 4*d - 50. What is the greatest common factor of 120 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 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: Let z = -141 + 149. Calculate the common denominator of (-2)\/z - (-6 - (-844)\/112) and 137\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b = 0. Suppose 2*g + b*g + 10 = 2*j, 2*j = -2*g - 2. Suppose p - 21 = -r - 18, 0 = 2*p + 5*r. Sort 3, p, j in ascending order.\nAnswer: j, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 21)*(-3 + 2). Let a be (-2)\/(-1) + 40\/p. Put a, 5, 0.3 in descending order.\nAnswer: 5, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**6\/120 + 3*c**5\/80 + c**4\/24 + 4*c - 6. Let l(b) be the first derivative of j(b). Factor l(z).\nAnswer: z**2*(z + 1)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**2 + 17*g**6 - 26*g**6 - 25*g**2 wrt g.\nAnswer: -1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*t - 8. Suppose -5*f + 20 = -20. What is the least common multiple of t and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rykzzzvvzkkl. What is prob of sequence vyv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 = -14. Let q = -57 - s. Let l = q + 62. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6890.335 weeks?\nAnswer: 4167274608000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 714\/(-1870) + 2\/10 - (-4)\/22. Solve f = 4*s + 14*s - 36 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 3. Let r be v(-5). Let z be (2\/3)\/(r\/12). Let c(f) = -f**2 - 23*f. Let t be c(-23). Solve k + t = -z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c**2 - 40065*c + 13356.\nAnswer: -3*(c + 4452)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**3 + 19 - 7*j**2 + 5*j**3 + 5*j + 4*j**3. Calculate the remainder when 57 is divided by u(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -19. Suppose 0 = 3*g - 50 - y. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 149420 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(1\/10))\/y)*y\/(y**7\/y*y))**17 assuming y is positive.\nAnswer: y**(-867\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4725, -4724, -4723, -4722, -4721, -4720?\n\"Answer: p - 4726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 14*l**2 + 5*l - 1. What is the units digit of v(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 + 78. Let m(f) = -f**3 - 7*f**2 + 12*f + 4. What is the tens digit of m(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 362463760.\nAnswer: -362463762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 2*f + 7)*(7*f - 3 + 3 - 5*f).\nAnswer: -4*f**2 + 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 32. Suppose 0 = 3*g - 7*g + v. Suppose g*x + 5*z = -0 + 9, -4*x - 5*z = -3. Which is bigger: -5\/3 or x?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -105*b + 901. Calculate o(8).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 28*w**2 + 149*w + 1254. What is the smallest common multiple of k(-11) and 3192?\nAnswer: 35112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 703, 1300, 1901, 2506, 3115, 3728?\nAnswer: 4345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 28112 = -5*l, -7*l - 11254 = -9*l + 5*w. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*a - 7698*a**2 + 7699*a**2 - 1538*a in the form n + t*a**2 + v*a and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*4\/4 - 0. What is the second smallest value in -2\/13, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, s: 3}. Give prob of sequence zsz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-3\/4))**(-2\/37))**(3\/38))**(-12) assuming d is positive.\nAnswer: d**(9\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 + 14*q)*(0*q**2 - 12*q**2 - q**2)*((-3*q - 4*q + 3*q)*(1 - 2 - 1) - 2*q - 3*q + 2*q).\nAnswer: -910*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2948, 2941, 2958, 3011, 3112, 3273, 3506?\n\"Answer: 2*p**3 - 21*p + 2967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*n**3 - 39*n**3 - 2*n + n + 2*n - n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 30782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 212 and 530.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*h - 4*h + 3*h)*(-2 + 0 - 1) + (-5 + 5 + 1)*(-4*h + 5*h + h))*(-21*h**3 + 5*h**3 - 6*h**3)*(1 - 1 - h).\nAnswer: -88*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 9*x + 11892 - 11777 = 0, -c - 34 = 5*x - x for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.037 - 0.353. Let u = q + 0.11. Let g = -0.2799948 - u. Round g to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9928 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 0 - 3*x**3 - 5\/4*x**4 - 9\/4*x**2 - 1\/2*x = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.1. Let b = 13 - 6. Let h = 7.2 - b. What is the closest to r in -3, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066394728 a multiple of 6728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 16. Let d be k(6). Let n be ((-3)\/(-2))\/(5\/((-80)\/(-2))). Sort 0.4, d, n in decreasing order.\nAnswer: n, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173615067 to the power of 1\/3, to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 36714 = -4*v, 626*v - 45831 = 621*v + 4*r. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26992479 equal to -26992475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4494981.\nAnswer: 3, 1498327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -1, -21825, -0.4, 0, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51866 + 175312 = -3668*p - 30610 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235348886.\nAnswer: 2, 117674443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6496649 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2773\/3 + 925. Find h, given that 0*h + 0 + 2\/3*h**3 - t*h**5 + 2\/3*h**4 - 2\/3*h**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, s: 1, u: 5, q: 4, j: 1}. What is prob of picking 2 q and 2 a?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-52)\/(-12) + 2\/3. Suppose -b*y = 4*q + 9, 4 = -2*q + y - 11. Find the common denominator of (-4)\/q + (-56)\/120 and -59\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2076 divided by 519.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -165 - -338. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (42 - 15 - (137 + -1))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6)*9\/5. Let n = -11 - -12. What is the nearest to n in v, 5, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*o - 66*o + 175*o**2 + 119*o in the form d*o**2 + n*o + x and give d.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2093*u - 2055*u + 684 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10073.1 + -10073. Sort 0.2, a, -0.5, 4, -23 in increasing order.\nAnswer: -23, -0.5, a, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7045 + -4777. Is z a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**4 + 33*j + 69?\nAnswer: 8*j**3 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 1050638226.\nAnswer: 1050638226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -1.2. Which is the closest to n? (a) 2\/5 (b) -1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -21211220201?\nAnswer: 21211220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - y = -4399, 4*n - 60*y = -66*y - 4434. Which is smaller: -1099 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31303348 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*q**2 - 4*q**6 + 3*q**6 - 3*q**6 wrt q.\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5025583041.\nAnswer: 3, 311, 5386477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29359974521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - o**2 + o + 1. Let a(l) = -131*l**3 + 132*l**3 + 2*l + 7*l**2 - 5*l - 4 + 1. Give -a(p) - 3*g(p).\nAnswer: 2*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 60*m - 12*m)*(6 + 0 - 1)*(3*m - 3*m**2 - 3*m) + (-4*m + m + 0*m)*(4*m**2 - 5*m**2 - 2*m**2) to w + f*m + n*m**3 + p*m**2 and give n.\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 113 = -9*b - m, -5*b - 135 = -5*m. Is -22 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 333 times -442\nAnswer: -147186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 9. Let f be y(6). Let w be f\/(-1) + -4 + 1. Solve -l + a - w = 0, 5*l - 4*a = -0*l - 25 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(4*q - 3*q + 2*q) + 573*q + 118 - 237 + 119.\nAnswer: 570*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*t - 6, 3*r - 6*t - 14 = -5*t for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6 + 7*l**2 - 7*l**2 - l - l - 3*l**2. Let s(f) = f**2 + 1. What is -6*s(q) - w(q)?\nAnswer: -3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536487*h + 112 + 176 = 536499*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 + (-11)\/(-3) + -2. Find the second derivative of 66*a + w - 6 - 6 - 22*a**5 - 67*a wrt a.\nAnswer: -440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9278 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -503*u**3 + u**2 + 209*u wrt u.\nAnswer: -3018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 3*o + 206. Let k be c(13). What is the biggest value in -1\/3, -1\/6, k, 3\/5, 2\/11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, x: 2, i: 1, l: 2}. Give prob of picking 4 k.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 3087353.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 17019562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*b + 5, j + 3*b + 2*b = -21. Suppose -v + 30 = -5*n, 3*n = -3*v - 0*v. What is the tens digit of 18 + (v - (-2 + j))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4c5d (base 14) to base 10\nAnswer: 13411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by 29?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -242 + 260. What is the smallest common multiple of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -117*p + 78818 - 27104. What is the remainder when p is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2954\/1477*(4\/(-12))\/((-4)\/(-222))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59443, 118886, 178329?\nAnswer: 237772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50651 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f. Suppose 4*r + 3 = -u - 0*r, u + 3*r = -1. Suppose v = -u*v. Let o(q) = -2*q**2 + q**2 + v*q**2. Calculate k(o(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, -4, -46 in increasing order.\nAnswer: -46, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001010011 (base 2) in base 5?\nAnswer: -32011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5072592 and 0.5?\nAnswer: 0.2536296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12043.69ml?\nAnswer: 12.04369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -13. Suppose -4*p = -3*p - 4*y + 8, 3*p - v*y - 26 = 0. Calculate the highest common divisor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21352686 and 536.\nAnswer: -21352150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367722591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 868035.279 + -867623. Let x = 838 - 425. Let t = m - x. What is t rounded to 2 decimal places?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + -7)*(4 - -15). Let v = 23 - m. Solve 0 = -v*f - 2*i - 2, -2*f + 2 = f + 5*i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (13 - 11 - 180702\/(-28)). Let x = 6455 - o. Calculate the common denominator of x and -73\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m. Let g = 2 - 1. Let x = -0.22 - 0.08. Which is the closest to 0? (a) m (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1452) - (sqrt(1452) - -2*sqrt(1452)))\/(sqrt(33)\/sqrt(176)))\/(sqrt(72)*-5 - (-3*sqrt(20))\/sqrt(10)))**2.\nAnswer: 15488\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11900\/(-8925))\/((56\/10)\/((-12)\/70))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -235 + 265.5. What is i rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617 + 711 + 1717 = -30*g + 615 for g.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*h**2 + 58 + 661*h - 661*h as z*h**2 + f + m*h and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((6\/2)\/(-3))\/((-14)\/42). Suppose n*q = -3*l + 2*l + 54, 5*q = 5*l - 230. Suppose -2*d + 68 = 2*d. Calculate the remainder when l is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 5. Let t = -985430 - -985454. What is the smallest common multiple of t and 32\/j*6\/(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssbvlwlwbovwlvl. Give prob of sequence lolb.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -188, -238, -288?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 9:45 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 29 = -5*n + 5*j, 2 = j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6*k - 36. Let l = -10 + k. Suppose -2*p + 22 = 4*w, 5*p + 16 - 47 = -4*w. Calculate the remainder when w is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31081 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28b + 5?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*c = 42, h + 2*c = 3 + 9. Suppose -2*r - 2*r + 4*g = h, -r = 2*g - 13. Suppose 1 + 8 = r*b. Solve b*d + d = 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -6, -4, 0 in increasing order.\nAnswer: -6, -4, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*c + 3 + 197 = 1352 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x + 15. Let o(y) = -y - 1. Let f(a) = m(a) + 15*o(a). Let g(q) = -4*q. Let i(b) = -2*b. Let d(s) = -2*g(s) + 3*i(s). Determine f(d(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.06895 rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6156)\/(-270))\/(-1 - 83\/(-80)). Let h = -584 + q. Calculate the highest common factor of 30 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/30212130 and -33\/80.\nAnswer: 241697040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226803 - 226907 = 26*p - 4*b, 3*p + p + b + 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 69 + 22*d - 70 - 13*d to p*d**2 + i*d + b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.82 - -5.12. Which is the closest to -1? (a) 4 (b) -63 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 3, v: 2, k: 1}. What is prob of sequence vvk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(sqrt(76)*1 - sqrt(76)) - (sqrt(76) + (sqrt(76) - (1 + sqrt(76) + 0)))).\nAnswer: -3 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + j**2 - 3*j. Let m be q(-3). Let w be (-150)\/m + (-2)\/12. Suppose w = -2*z - 0. Do z and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*54\/(-7)*(-210)\/2. Let n = p - 960. Is n a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 41*p**2. Let h(c) = -5*c - 3*c + c. Let n(x) = -6*x. Let w(i) = 5*h(i) - 6*n(i). What is y(w(u))?\nAnswer: 41*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2296.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -840*x. Let h(v) = v. Give h(p(c)).\nAnswer: -840*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - i + 3, -2*x - 2*x - 5*i = -15. Suppose 15*o - 107 = 14*o - k, x = -o + 5*k + 125. What is the lowest common multiple of o and 60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) 9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b = -45. Suppose u = b + 9. Let s = 33 + -21. Calculate the greatest common factor of s and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*u**3 + u - 159 wrt u?\nAnswer: -60*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*i + 52*i + 92*i + 74*i - 253*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -12) + -21 - -28 - 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 - 4*k**3 + 75*k**2 + 200*k + 125.\nAnswer: -(k - 5)*(k + 1)*(2*k + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66135 + 44441 = -3944*p + 43528 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 - (0 + 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/16 of a hour?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*z - 2 = 0, 5*z - 5 = h + 3*h. Let k = -19 + 27. Solve -3*l + k + 4 = h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 11*p + 180. Calculate the common denominator of p\/(-33)*(-4 - -2) and 5\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1. Let z be (-2)\/(v + (-3 - -8)). Which is the nearest to 1? (a) -5 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14532?\nAnswer: 2, 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c66818 - -1?\nAnswer: 2c66819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/5 (b) 0 (c) 0.2 (d) 0.205 (e) -378\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 + 24*k + 76. What is l(-7)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 3:55 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 6 - (1 - 6)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*r + 23*r - 236. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s - 6. Let h be k(-4). Let f = h + -5. Suppose -4*n + 1 = -l, l - 2*l + 5*n = 2. Solve -f - 14 = -l*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3889228, -3889227, -3889226, -3889225, -3889224?\n\"Answer: j - 3889229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 + 3162*b**2 - 642321*b - 3363360840 = 0. Calculate b.\nAnswer: -840, 2001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + l - 2*l + l. Let s(m) = 2*m**3 + 2*m**2 - m. Let n be s(1). Let c(z) = 3*z + n - 3 + 0. Give c(b(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.21 - 0.2. What is the smallest value in 2\/5, b, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-57)*1368\/(-144)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170114 is divided by 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16 (b) 1\/25 (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -79\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*j + 32 - 8 - 15)*(-2*j**3 - 4*j**3 + j**3).\nAnswer: -70*j**4 - 45*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-368)\/(-14) + (-4)\/14. Let g = 46 - n. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -146\/1083 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 - 3*q**2 - 3*q**2 + (-2 + 2 - 2)*(-28*q**2 - 242*q**2 - 4*q**2).\nAnswer: 546*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 2*q + 1. Suppose -u - 8 = 3*u. Let l be y(u). Is (l + 12\/(-8))*-38 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r - 3. Suppose 3*v + 12 = 27. Let g(x) = -v*x - 4 + 3 - 1. Suppose 27 = -4*p - 5*u, p + 4*u = -13 - 2. Determine p*g(t) + 2*k(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 761833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/6157 - 12304\/30785. Sort 3\/5, -0.1, k, -0.84.\nAnswer: -0.84, k, -0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 29\/2, -5, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*(54\/2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11089*o - 981. List the prime factors of h(-1).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 + 27*p**2 + 25*p - 7. What is i(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -304, -299, -294, -289?\n\"Answer: 5*h - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from slkrryak?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 7*c**2 - c - 21. Let r be z(5). Suppose -3*t + 36 = r. Suppose -15548 = -4*w + t*k, -3*w - 3*k + 11641 = -k. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 12:36 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*y - 24, -6*y = 2*i - 10*y - 14. Solve m = -7*v + 2*v - 17, -m = 4*v + i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(315)\/sqrt(324))\/(sqrt(5) - (sqrt(720)*1 + sqrt(5) + sqrt(5) + sqrt(5))).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*k**2 - 74*k**2 + 162 - 78*k**2.\nAnswer: 2*k**2 + 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-7)*(-3)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252937461 is divided by 50587490?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 6, r: 3, b: 4}. Give prob of picking 2 r and 1 v.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594 a factor of 4377795101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 24 = 10*u. Suppose 0 = 28*p - u*p - 240. What is the smallest common multiple of 90 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**3\/12 - 27*h**2\/4 + 729*h\/4 + 23. Factor b(d).\nAnswer: (d - 27)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.598 - -6.608. Sort t, -39, 4, 0.5, -2.\nAnswer: -39, -2, t, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3\/9 - 6964*h**2\/9 - 2*h\/9 + 6964\/9 = 0.\nAnswer: -1, 1, 3482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = -q - 435. Suppose 2*c - 2*t - 6 = 0, -2*c - t - q = -10. Solve 8*s - c*s + 6 = -2*m, -4*s = 4*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0 - 5893*s + 4 + 1904*s + 2.\nAnswer: -3989*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 4)\/(6\/(-177)*(-11 + 441\/42)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59743898 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -25.4 equal to 1850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -672721*s**3 + 35*s**2 - 127*s wrt s?\nAnswer: -4036326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 + 5470*v**3 - 1719885*v**2 + 115368800*v + 1035844160 = 0. Calculate v.\nAnswer: -8, 104, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7204 - -7234. Solve 18*q - 13*q + r = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-9) + (-21)\/((-6)\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1700) + (sqrt(1700) - sqrt(1700)*-2))*-4)**2 + 4.\nAnswer: 435199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 8*j - 5. Let w(l) = l**3 - 7*l**2 - 10*l + 10. Let h be w(8). Let a = h - -21. What is the least common multiple of y(-7) and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from tbdtdvdvtuv?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9186224?\nAnswer: 2, 89, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -38387528 divided by -9596882?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 191\/((-3820)\/(-100))*(-8)\/(-990)?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (30 - (-9 - -24)) - (3 - 16)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -652 less than -273?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 3*s**2 + 5*s - 5. Let c(v) = -v + 1. Let k(f) = -4*c(f) - y(f). What are the prime factors of k(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2433211 years to centuries.\nAnswer: 0.002433211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2\/9 (c) -24 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**4\/21 - 514*g**3\/3 - 7178*g**2\/21 + 5994*g\/7 + 7188\/7 = 0.\nAnswer: -1797, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 472 (base 12) to base 8.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*6.68.\nAnswer: -60.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 50 = 302. Suppose -g*n + 36*n - 3888 = 0. Is n greater than or equal to 485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 - -0.11. Let z = -11 + 7. What is the nearest to u in z, -5\/2, -7?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.5 + -25.5. Which is bigger: h or -0.47?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 44505, 88971, 133419, 177843, 222237, 266595, 310911?\n\"Answer: -r**3 - 3*r**2 + 44482*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54669?\nAnswer: 3, 18223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 142 = -3*b, 3*k + 54*b - 57*b = 105. Solve a = 5*l + k - 10, -36 = 5*l + 2*a for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431082 is divided by 608?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15869 divided by 6.\nAnswer: -15869\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtt when three letters picked without replacement from wtwtwwww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 21*f - 25 - 375 = 0 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 29*i**3 + 1 - 1.\nAnswer: 29*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 513*g**3 - 8166*g**2 + 32160*g + 2688.\nAnswer: 3*(g - 8)**2*(171*g + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2522*a + 15864 + 122113 = 18114 - 152513 for a.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(91) + -1*sqrt(91)*-3 - sqrt(91))\/sqrt(7))**2 - sqrt(91)\/(sqrt(175) + sqrt(175)*2))*-5.\nAnswer: -1755 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**10\/840 - y**7\/126 - 3*y**4\/4 + 14*y. Let r(v) be the third derivative of p(v). Find the third derivative of r(w) wrt w.\nAnswer: -2160*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from viaavvavavi?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/151 (b) 0.1 (c) 0 (d) -8 (e) 1\/4 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 776*b**3*x**3 - 4*b**3*x**2 + 3*b**3 - 2*b*x**6 + 17182*b*x + 8*x**3 wrt x.\nAnswer: 4656*b**3 - 240*b*x**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 7*x**2 + 8*x - 9. Let s be h(6). Let z(a) = 6*a**2 - s*a**2 - 2*a**2 - 2*a**2. Let d(i) = -13*i**2. Calculate z(d(c)).\nAnswer: -169*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34.41 - -35. Let z = -0.01 - s. Let k = z + 0.8. What is the second biggest value in 2\/11, k, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r = -6. Suppose r*a = 4*a + 2, -3*o = 3*a + 102. Let m = -28 - o. Solve z + 17 = -4*c + m, -2*z + 7 = -3*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 5*p - 139. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -1. Let l(j) = -j**2 + 2*j + 3. Let c be l(3). What are the prime factors of (c - y\/(-2))*-6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 53 = 3*u, -4*u - 4*k + 4189 = 4081 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7516*h + 3794*h + 424308 for h.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**4\/3 + 3*h - 7. Let y(n) = -7*n - 1. Determine y(f(w)).\nAnswer: -28*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 317386763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -82*l - 1. Let x(y) = -2923*y**2 + 323*y + 216. Let k(m) = 4*h(m) + x(m). Find the second derivative of k(o) wrt o.\nAnswer: -5846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -12, 2\/11, 15, 5, 0.3, 1 in ascending order.\nAnswer: -12, 2\/11, 0.3, 1, 5, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1742\/(-201) - (-9)\/1. Which is the fourth smallest value? (a) 0.08 (b) i (c) -3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 79 = -41. Suppose -10*f + l = -15. Factor 0 - 8\/5*g**f - 2\/5*g**3 + 0*g.\nAnswer: -2*g**2*(g + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*v**3 - 1)*(-4*v + 3*v + 2*v - v + 6*v - 3*v + (6*v - 2*v - 2*v)*(1 + 1 + 0)).\nAnswer: -21*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -6. Suppose 7*j = 3*j + 12. Let x(f) = -j - 2*f + s. Let n(q) = -2*q**2. Determine x(n(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2\/2 - 82165050*t + 1125182573583750 = 0. What is t?\nAnswer: 27388350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -24*i - 8. Let m = -74 - -72. Let k(v) = -6*v - 2. Let l(y) = m*o(y) + 9*k(y). What is the derivative of l(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x - x + 3*x + 3*x. Suppose -3*f = f - 8. Let n(i) = i - i + f*i. Determine n(y(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1377)\/16065*((-1205)\/50 - (-16)\/(-40))?\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 220882841*l**3 + 1143767*l**2 + 13*l + 1.\nAnswer: 1325297046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*y + 15, -43 = -u - 4*y - 56. Calculate the remainder when 782 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2602 and 153629.\nAnswer: 151027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*x - 17*x - 64. Calculate the greatest common divisor of 80 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411563140.\nAnswer: 2, 5, 79, 260483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0*t - 9, -t - 62 = -5*q. Let b = q + -8. Suppose b*p = -5*x + 50, 4*p - x - 35 = -4*x. Solve p*u - 14 + 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71\/93 + 3\/31. Let q = -20827.5 - -20828. Which is the second smallest value? (a) 1 (b) t (c) 7 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 170239.5765 milliseconds?\nAnswer: 0.00028148078125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 4 - ((-1 - 0) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - 0.43. Let y = 1070 + -1065. What is the third biggest value in y, -1.8, -4, s?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/249 and 109\/360.\nAnswer: 29880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/1 - 540\/(-10) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 25*c**2 - 6*c - 145. Let g be d(-25). Solve 0 = g*w - 4*f - 29, -6*w + 7*w - f - 6 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 523.7 + -716. Let m = 192 + x. Let o = 1.12 + -0.12. What is the closest to o in m, -3\/8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 613076739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 1:52 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*c = -4*d + 337, -4*d + 1263 = 3*c. Let o = 338 - d. What is the greatest common divisor of o and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4 = -2*i, 4*s + 494*i - 499*i + 35 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2 - -9) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5113 (base 6) in base 11?\nAnswer: -933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 47 + 312. Let m = 33 + d. Let a = m - -28. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1214230 - 1013423?\nAnswer: -2233203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, -1 in descending order.\nAnswer: -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26872 - 21911. Calculate the highest common divisor of m and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7871 + -7807. Solve -56*l + n*l = 48 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.7 from 2101342.\nAnswer: 2101352.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 714.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28627 not equal to 28618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) - (-33)\/9. Suppose -35 = -l*c - o, -4*o - 22 = -c - c. Solve -4*x + c*x + 25 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*m - 134*m - 128*m = 3*f - 16, -19*m - 361 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -4, 8, -6.\nAnswer: -71, -6, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**4\/120 + v**3\/60 - v**2\/10 + 50*v. Factor d(z).\nAnswer: (z - 1)*(z + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let t(c) = -98949423*c. Calculate s(t(k)).\nAnswer: 98949423*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 17*c**2 + 462*c + 3550. Calculate w(-8).\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13562 divided by 6781\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782 is divided by 236?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3080.\nAnswer: 3077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 133*d**2 + 135*d - 365. What is x(-132)?\nAnswer: -761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2.76. Let t = -0.76 - r. Which is the third biggest value? (a) t (b) 0.4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 11*z - 5. Let v be i(4). Find the second derivative of -2*l + 11 + 0*l - 9*l**2 - v*l**2 wrt l.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10323342111 (base 5) to base 2.\nAnswer: 101010100010110110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6133.585 tonnes?\nAnswer: 6133585000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**4\/24 - 6*i**2. Let z(u) = 3*u - 1. Suppose 0 = c - 1. What is c*z(q) - m(q)?\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6169 and 1457.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.84 - 20.16. Let l = u + 6. Let o = -0.9 - -1. Is l >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47973227?\nAnswer: 47973227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38636628 is divided by 39225.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1116 - -1113. Let p be -2 + -2 + 25\/6. Which is the fourth smallest value? (a) -1\/5 (b) 0 (c) p (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4055 and 302503?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17073 - -62306. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 768260, -1\/3 in ascending order.\nAnswer: -1\/3, 1, 2, 768260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(8\/3)*f)**38\/((f*f**(-6))\/((f**9*f)\/f)) assuming f is positive.\nAnswer: f**(460\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2\/9, -1\/4, 86.\nAnswer: -1\/3, -1\/4, -2\/9, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68401 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/29))\/((l*l**(-2\/25)*l)\/l) assuming l is positive.\nAnswer: l**(8\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 153774058 and -3?\nAnswer: 153774061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 83*z**2 - 5*z + 406. Let r be s(83). Sort -10, 1, 9, r, -1 in increasing order.\nAnswer: -10, r, -1, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okg. What is prob of sequence ok?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7394057 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10100101011001?\nAnswer: 10100101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*x + 382*x - 24*x + 40635 = -8*x for x.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -307 - -293. Let u = -90 - -63. Let l be (2\/(-6))\/(36\/u). Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 505*y - 81 = -502*y, 5*o = 4*y + 102 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30114 divided by 1?\nAnswer: 30114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 n when four letters picked without replacement from xnxnnxnxxnxxxxnnnnnn.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 23*k - 385. What is u(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h - 4 = 0. Let f = 27 - 15. Suppose f = 4*k - h. Solve -2*r + 3*r - v = -1, 0 = -v + k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -207.4163 + 207.3. Round g to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4488 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: What is the square root of 78825605 to the nearest integer?\nAnswer: 8878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-24)\/(-14))\/((-180)\/(-126)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, -87, -184, -317, -486, -691, -932?\n\"Answer: -18*q**2 - 7*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4 + (-5 + 0 + 2)*(0 - 1 + 2))*(-4*k**4 + 0*k**4 - 2*k**4).\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1421 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 10. Let g(s) = s**2 - 8*s - 13. Calculate the least common multiple of g(-3) and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 11:16 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 962719 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 33*z + 18. Let k be b(-25). Let d = k - 1608. Round d to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95669070 and 58890?\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -47731 less than or equal to -47618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*i - 15. Let q be (0 + 2 + i)\/(-2). Does 2\/3 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355637955 to the power of 1\/2, to the nearest integer?\nAnswer: 18858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 4*a**2 + 13*a**2 - 2*a - 3*a - a**2 + 3*a + (-a**2 - a**2 + 0*a**2)*(3 + 2 - 4) + (-4*a + 4*a + a)*(-17 + 17 - 98*a).\nAnswer: -92*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4752*u - 4629*u - 540 + 867 + 6192 = 0 for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100101101111111 (base 2) in base 15?\nAnswer: -2e869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*v + 38. Suppose -l - v = -2*l. Suppose 2*k = -l*k + 892. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(4\/9))\/x*x**(-10))\/(x**1)**(-43) assuming x is positive.\nAnswer: x**(293\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14917406561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -8\/15*k**3 - 2\/5*k**2 + 0*k - 3 - 1\/25*k**5 - 1\/4*k**4. Determine i, given that m(i) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c**(-2)\/c))**(-15) assuming c is positive.\nAnswer: c**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-3))\/(345\/(-115)))\/((-14)\/(924\/(-22)))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/9))**(6\/17)\/((y*y*y**(1\/5))\/y*y**(-20)) assuming y is positive.\nAnswer: y**(4864\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 - 339968*x\/3 - 14447280128.\nAnswer: -2*(x + 254976)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z + 56. Let d be y(14). Suppose d = -18*i + 17*i + 175. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 5*a + 18. Let o be j(-3). Let x be (-31)\/3*(-27)\/9. Let s = 91 - x. Calculate the highest common factor of o and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 19. Suppose 129 = u*k + 19. Suppose -166 = -8*t + 98. Calculate the highest common divisor of t and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - j + 4*v - 21 = 0, -2*j + 2*v = 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + (2\/6)\/((-2)\/(-516))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a century in decades?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -7*w**4\/24 + 13*w**2. Let g(q) = 4*q. Calculate t(g(o)).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2 - 3 - 4 + 2*c - c. Suppose 9*k + 10 = 64. Suppose 5*u - o = 29, -2*u = -k*o + 2*o - 8. Give v(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:58 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 1. Let f be p(2). Suppose 0*b = -b + f. Let i be 1 + b*-34 + -1. Round i to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4004418)\/(-72))\/11 + (-2)\/24.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2341408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 181926351 + -181926321.6999742. Let p = -29.3 + m. What is p rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/130 and -5 - 156\/(-24) - (-29)\/(-40).\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z + 79. Calculate h(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from unhot?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -552 + 2244?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -83*f**2 - 663*f - 4. Determine k(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -676*-0.5\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 17 = -3*d + 13, -2*v = d + 5. Let b(t) = 3*t**2 - 8*t + 5. Let s be b(5). Calculate the highest common divisor of s and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*t = 43, 2*j + t = 29 - 12. What is the smallest common multiple of j and 185?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31\/2 (b) -5\/4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 36*m**2 - 125*m - 922. Give d(31).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99342.6 months to millennia.\nAnswer: 8.27855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e88 + 6?\nAnswer: -e82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -16. Calculate the greatest common factor of 20 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14579 is divided by 5419?\nAnswer: 3741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 3*y**3 - 3*y**2 - 11*y - 6.\nAnswer: (y - 2)*(y + 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1400 and 1\/280?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9856 and -0.1?\nAnswer: -985.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -4, 163, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 636, 12, 3, -3.\nAnswer: -3, 3, 12, 636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, h: 7, e: 1, x: 4}. What is prob of picking 4 x?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 6\/23 (c) -0.15 (d) 0 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2838967.5 minutes in hours?\nAnswer: 47316.125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {k: 4, o: 1, e: 11, a: 1, i: 1}?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685186237?\nAnswer: 685186237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 11474180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -590\/3 in -0.06, 4, -7, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -140036331.4 + 0.2\nAnswer: -140036331.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*c + 189*c - 67*c - 2*l = 59*c - 7*l - 56, -3*c + 2*l = 42 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 6:05 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvbrc. What is prob of picking 1 d and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -191, -406, -717, -1130, -1651, -2286?\nAnswer: -3041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14463 and -330.4?\nAnswer: 14793.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -38\/9 (b) -2 (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -142?\nAnswer: -42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -183903.3 rounded to the nearest 1000?\nAnswer: -184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2*m - 4 = 5*f, 16 = -4*m + 5*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 1164 (b) -4 (c) -6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 2*z**6 - z**5\/5 - 76*z**3\/3 - 130. Find the third derivative of d(c) wrt c.\nAnswer: 720*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 192*(-96)\/30*(-6 - -1). Let d = -1689 + n. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f - 1614 = -31*f + 1911 for f.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 35. Sort -1, l, 4.\nAnswer: -1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43417*v**3 - 130255*v**3 + 43471*v**3 + 43446*v**3.\nAnswer: 79*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (429\/(-6))\/(13\/(-26)). Let h be (-9)\/(-3)*(-4)\/(-6). Suppose u + 1 = 0, h*u = -3*y - y + 42. What is the greatest common divisor of n and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*-3)\/(sqrt(64) + -3*sqrt(64) + sqrt(64) - sqrt(64)) + 5)**2 + 1.\nAnswer: 45*sqrt(3)\/2 + 659\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*h, 24 = -2*s - 2*h + 26. What is the highest common divisor of s and 1446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + 3 + (sqrt(19) - (3*sqrt(152))\/sqrt(8))**2.\nAnswer: 7*sqrt(19) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/9 + (-3)\/(9\/2). Let v(m) = 18*m - m**o - 11*m + 14*m**3 - 6*m - 1. Give v(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 18 = 4*b. Let z(x) = 3*x. Let c(a) = -4*a. Calculate b*z(i) + 5*c(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-6)*5\/(-15)*-4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 21.6, -2\/15.\nAnswer: -2\/15, 0.3, 21.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 e, and 1 y when three letters picked without replacement from ygoeejz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/36 and 73\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1653917990 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 0*d - 1 + 2*d + 4*d. Suppose 4*m - 5*z = 34, 0 = 3*m + z + 5 - 21. Let s(i) = 5*i - 1. Give m*b(q) - 7*s(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + -64 - (-27 - -2) - (42 - -1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -18. Suppose 9*y - 336 = -a*y. Calculate the highest common divisor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 6\/5*j**5 + 0 - 1\/2*j**2 + 0*j**3 + 3*j + 0*j**4. Does 12 divide w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2345685463.\nAnswer: 11, 31, 6878843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1171\/2 + 601. What is the common denominator of -11\/4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (742\/(-161))\/((-643)\/(-14789))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986026.\nAnswer: 2, 493013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/87237363 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2753*c**3*r**2 - 21*c**2*r**3 + 21*r**3 + 55*r**2 + 7 wrt c.\nAnswer: -8259*c**2*r**2 - 42*c*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 13*y**2 - 14*y + 5. Let m be z(14). Suppose -m*r + 2*r = -6, 5*l - 2*r = 116. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10, -2\/5, -0.3, 2\/13, -1\/876?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1140 + 1145. Suppose p + 2 = -p. Let t be p + (4\/(-6))\/(-2). What is the biggest value in o, t, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-88)\/12*-3 + 2. Let f be (-314)\/(-8) + (-2)\/t*3. Suppose m = 3*o + f + 21, 2*o - 184 = -4*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*l + 5*f + 510, 0 = l + 2*f - 162. Suppose -95*w + 97*w = l. Calculate the remainder when w is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4 - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w - w)*(-16*w**3 + 16*w**3 - 5*w**4).\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1903335 divided by 6.\nAnswer: -634445\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.064 - -122.936. Let i = -122.931 + k. What is i rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 14*u**2 - 2*u - 29. Let t be v(-14). Let r be t*((-60)\/75)\/(2\/5). Which is smaller: r or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 68\/8*-2. Let y = d - -67. 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: Let q(b) = b**3 - 2*b**2 + 3*b - 2. Let u be q(2). Suppose -y = y - u. Suppose y*z - 98112 = -538112. What is z rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o + 2 = 0, 2*q = 2*o + 6. Suppose 0*u - 48 = -2*u - q*k, 0 = -4*u + k + 86. Let a = -25 - -27. Calculate the lowest common multiple of a and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-235872)\/(-4576) - (0 + (-12)\/(-22)). Which is bigger: i or 50?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1727570886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from bbbbfbbbbbbbbfbbbwbf?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130208.\nAnswer: 2, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h. Suppose 42*x + 12 = -30. Let m(b) = -97*b - 1. Let c(t) = t. Let l(f) = x*m(f) + 2*c(f). Determine l(n(s)).\nAnswer: 198*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t**3 + t**2 + t - 1. Let d be a(1). Let g = d + 1. Let z(q) = -q**2 - 7*q + 9. Let s be z(g). Is -1\/9 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1434.2?\nAnswer: -5736.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/5 - 1281\/45. Let f = x - -29. Factor -a + a**2 - 1\/3*a**3 + f.\nAnswer: -(a - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000363853 to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 2*b - b)*(-6 + 2 + 2)*(5*b**2 - 3*b**2 + 0*b**2) + 6*b**3 - 5*b**3 + 3*b**3.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2396 and 1005122?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1428561*m + 7 - 1428571*m.\nAnswer: -10*m + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**5 - 33060*y**4 - 330280*y**3 - 1188640*y**2 - 1848720*y - 1056320 = 0. Calculate y.\nAnswer: -6602, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 at least as big as -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 3. Let u be b(1). Let m be (0 + 0 - -6)*(u + 7). What is the third derivative of f**2 + 5*f**2 - 8*f**2 - 22*f**m + 3*f**6 wrt f?\nAnswer: -2280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 2*m**2 + 2*m - 7. Let g be ((-6625)\/(-50))\/53*(1 + -3). What is q(g)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 3*k**3 + (-2*k - 2*k + 2*k)*(k - 2*k**2 - k) + 2222*k**2 + 2222*k**2 - 9*k**3 - 4450*k**2 + 3.\nAnswer: -8*k**3 - 6*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269856*k**6 + 8*k**4*s**2 - 15*k**2*s**2 - 3*k**2 + 32*k*s**2 - 17*k + 27*s**2 wrt k.\nAnswer: -32382720*k**3 + 192*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -4 (b) -0.2 (c) 0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from zkkddddddoddkndzodd?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/46188 and -93\/1236812.\nAnswer: 11131308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/3*71391957\/(-65) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 21 = -z, 14*j = -6671*z + 6674*z - 127 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 2*a**2 + 2*a + 3. Let x be m(3). Suppose -5*h + 4*j - 10 = 0, h - j - 3*j + 2 = x. Is 12 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 - o + 1. Calculate n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*m - 244 = 2*m, -5*l + 604 = -4*m. Let i = l + -71. Calculate the greatest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 23*a = 56. Suppose -2*u + 21 = -3*t, 0 = -u - 2*t + 7*t + a. Which is smaller: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - k - 15, 5*k + 38 = 13. Suppose 3*a = -w + 36, -57 = -t*w - 0*a - a. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/13 + 4476*x - 58190\/13 = 0. Calculate x.\nAnswer: -29095, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 6, -21, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**4\/24 + t**3\/3 - 52749*t**2. Suppose 0 = 2*l - 6*h + h - 28, 4*l - 30 = -3*h. Determine q(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w - 16. Determine c(11).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -10*o + 87. Let f = -83 + o. Solve 5 + 3 = f*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 5:43 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11103468 and 20304?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23261940 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 4)*(0 - 1 - 2)*(1 + 1 + 0)*(6*h - 4*h - 3*h) to k*h + w and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -3\/17, 3\/733 in increasing order.\nAnswer: -5, -3\/17, 0, 3\/733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 3 - 4*s - s**2 + 3*s - s**2 to the form a + i*s**2 + h*s and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272763 a multiple of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(2 + 1 + sqrt(176) + sqrt(176)) - (sqrt(891) + -4 - (sqrt(33)*1)\/sqrt(3))**2).\nAnswer: -2106 + 336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 608.85499 rounded to zero decimal places?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26*3*10\/30. Let i = y + -15. What is the remainder when i is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 5:04 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*d - 3*y + 61, -5*d + 0*y - 85 = -7*y - 5*y + 7*y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 760658046515 + -760666930075.00009. Let a = 8883604 + n. Let o = a - 44. What is o rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5142 + -2988. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3 - 1235*z**2 + 2473*z - 1237 = 0. Calculate z.\nAnswer: -1237, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/14 and -127\/4272156?\nAnswer: 4272156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -388 (base 9) to base 4.\nAnswer: -11003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 14*f. Let o be m(-1). Let b be 3 + (-69)\/21 - 116\/o. Solve -3*n - n = -b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 + 523*q - 5106. What is k(10)?\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 0, -84, -5, 1, 4, 2 in increasing order.\nAnswer: -84, -5, 0, 1, 2, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -3032.4773.\nAnswer: -3032.8773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8080)\/38380)\/(10\/(-171)). Determine j so that 4\/5*j**3 + 4*j + 0 - h*j**2 = 0.\nAnswer: 0, 2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26928893 is divided by 154.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2865396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*c + 5 - 2*c**2 - 4*c + 1 as q*c + p + i*c**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49266 and 10626?\nAnswer: 541926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152)*3)\/((sqrt(360)\/sqrt(9) - sqrt(40))\/sqrt(5) - sqrt(8)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/18 + 86\/(-18). Let h = 11 + a. What is the highest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2766 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.6082 + 0.1082. Which is the biggest value? (a) -3 (b) -1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 7:56 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88.01 + -90. Let y = m - 0.01. Let d(w) = -w - 13. Let s be d(-10). Which is the closest to s? (a) 5 (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6979 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15249 - 203*l + 15249)*(0 + 3 + 0).\nAnswer: -609*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71552.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 20*d**2 + 3 - 3. Let h(k) be the second derivative of -k**4\/24 + 447*k**2\/2 + 87*k. Let v(u) be the first derivative of h(u). What is w(v(z))?\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 71049024.\nAnswer: 71049024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*i = 208*i + 4*c - 7, 2*i - 3*c = 3*i + 24 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1140)\/(-133)*(-70)\/30. Let t(w) = -w**2 - 14*w + 110. What is t(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*u**3 - 2*u - u**4 - 59*u**3 + 21*u**3 + 4*u - u + 2 - 12*u**2 to the form m*u**2 + n*u**3 + g + f*u**4 + q*u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.0673 + 0.0673. Let x = -194240\/109 - -1782. What is the third smallest value in 3, x, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312 - 154 - 4*b - 158.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (-25 + (11 - 13) - -19)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.96 - 3. Let d = 7.8 + 3.2. Let l = d + -12. Which is the closest to -2\/7? (a) 4 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 421, 843, 1265?\n\"Answer: 422*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:36 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**3\/5 + 1008*j**2\/5 - 8988*j\/5 - 258192\/5 = 0.\nAnswer: -12, 22, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-2870)*4)\/((-6)\/30). Sort -2\/3, 0.4, a in descending order.\nAnswer: 0.4, a, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.202269093 to 2 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210010 (base 3) to base 2.\nAnswer: 10100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) 10 (c) 2\/15 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -60*v - 16. What is the tens digit of n(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**6\/3 + 56*r**5\/5 + 257*r**4\/2 + 1876*r**3\/3 + 1212*r**2 + 1008*r + 9014. What is u in w(u) = 0?\nAnswer: -14, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**6\/120 - b**5\/10 + b**4\/8 + b**3\/6 + 17*b**2. What is m(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*b**2 + 72*b + 73*b - 145*b.\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeuvvrun. What is prob of sequence uv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2 + 7*t + t**3 + 2 + 5 - 7*t**2. What are the prime factors of j(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69737501 to the power of 1\/3, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 18*j. Let k(y) = -8*y**2 + 16*y**2 - 3*y**2. Calculate s(k(x)).\nAnswer: 90*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by -3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 3 + 3 + (55 - 20 + 240*d - 35)*(-5*d - 17*d + 0*d) in the form q*d + o*d**2 + i and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -17. What is the nearest to 0.1 in -1\/4, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/2*240\/(-520)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22 + -24)\/(1\/(-224)). Let u = k - -196. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -888024 and -14.\nAnswer: -888038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2183 = v, -2*u - 1636 = -5*u - v. Suppose 4*i = -a + 226, -20*a + 23*a = 2*i - 92. Calculate the remainder when u is divided by i.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*o + 15 = 0, 0*o + 3*o = 15. Let x(h) = h**2 + 9. Give x(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 533*p**2 + 87*p - 329297. What is t(532)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -48949, -6, 8 in increasing order.\nAnswer: -48949, -6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2776)\/(-14) - 14\/49. Suppose 5*o - 95 = -5*m, -3*o - m = o - 85. Calculate the highest common factor of o and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by -8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -27*h + 7. Let n(k) = -55*k + 13. Let y(g) = 5*m(g) - 2*n(g). Let b be y(13). Let q = 539 + b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 18*z - 15. Let g be p(11). Let m be g\/((135\/(-10))\/9). Let c = 190 + m. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 d when three letters picked without replacement from vvvvkdkxx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s = 35*s - 1, 0 = 3*a + 3*s + 3. Solve 3*x - 2*b = 16 - 7, -3*x + b + 6 = a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**5\/20 - a**4\/4 + a**3\/2 + 2*a**2 - 2*a. Let t be f(-4). Let i(s) = s**2 - 6*s + 7. List the prime factors of i(t).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 - 33*q - 108. Let d(n) = -n. Let i(s) = a(s) + 3*d(s). Factor i(o).\nAnswer: -3*(o + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - 8. Let g be o\/((3 + -7)*1\/(-4)). Let t = g + 39. Solve p + 3 = -t*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 0 - 1)*(5*c + 4*c - 3*c).\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23688 (base 10) to base 7\nAnswer: 126030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -58*b - 7405. Let v(x) = -x**3 + 5*x**2 + 7*x - 1. Calculate the remainder when v(5) is divided by n(-128).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -47.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/187 greater than or equal to 124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*p + 261 = 0, 0*p - 8 = 2*p. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 6:29 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/12 + 2\/6. Suppose 0 = 2*x - 6*x + 12. Suppose -2*d = -x*d. Which is greater: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3785443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) -3\/4 (b) 0.3 (c) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1437096 - 1437393.00521. Let f = 297 + n. What is f rounded to 4 dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -28?\nAnswer: -23\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**3 - n**2 + 4*n. Let v(w) = -6*w**3 - w**2 + 3*w. Suppose 9*u = 12*u - 3. Let c be ((-20)\/15)\/(u\/3). Calculate c*v(g) + 3*z(g).\nAnswer: 6*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*m - 979 - 729 = 81*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/54 + 8\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22692\/24 + -1*1\/2. What is the tens digit of (4 + q\/(-28))*-16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -12111*k**2 + 16*k + 76. Let c be h(-12). What is c rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 10 = -22, 20 = 2*c - 3*a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 8*i**2 + 260*i + 29. Let r be o(-21). Which is the smallest value? (a) r (b) -7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 8*r**3 + 17*r**3 + 7*r**3 + 12*r**3.\nAnswer: 28*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1539, -1541, -1543?\nAnswer: -1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -563, -2860, -6893, -12662, -20167, -29408?\nAnswer: -40385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 9:51 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Let r = a + 6. Calculate the remainder when (-2 - (2 - 25)) + 1 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q + 31*q + 2*w = -56, 0 = -2*w - 6. Solve -6 = 8*j + q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1 + sqrt(1539) - sqrt(1539)) + 4 - -5*(0 + sqrt(1539)))**2.\nAnswer: 450*sqrt(19) + 38505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-14) - (-94)\/14. Suppose -5*d + 4*o + 8 - 2 = 0, 5*o - g = -d. Suppose 5*z = -2*v - 0*z + 1, -2*z = d. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17927082 is divided by 4481768?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-9) + 936\/54. Suppose -16*n = -s*n + 8. Solve -n*j = 19 + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 + 0.09. Let d = 0.92 - w. Which is the second biggest value? (a) d (b) 5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-7*c**2 + 13 - 13) + 2*c - 2*c + 4*c**2 + 2*c**2 - 5*c**2 + c**2 + (6*c - 5*c - 2*c)*(0 + 0 - c).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*l*o**3 + 75389*l + 225*o**3 + 31*o**2 - 146*o + 1 wrt l.\nAnswer: 8*o**3 + 75389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 16. Let o(j) be the third derivative of -j**7\/1680 + j**6\/120 - j**5\/60 - j**2. Let g(u) be the third derivative of o(u). Determine g(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m + 13. Let x(r) = -3*r - 12. Let t(l) = -2*h(l) - 3*x(l). Let c be t(7). Let g be 2\/(-8) + 15\/(-4). Sort 2, g, c in decreasing order.\nAnswer: c, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-9))\/(15\/36).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624)*2)\/sqrt(12))\/(1*sqrt(36) + sqrt(36) + sqrt(36) - sqrt(36)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3196*s**2 + 46*s**3 - 7 + 0 + 1 + 3193*s**2 to the form i + z*s + t*s**2 + v*s**3 and give v.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2690232, 2690255, 2690278, 2690301, 2690324, 2690347?\n\"Answer: 23*n + 2690209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 433*h**2 + 2*h. Does 9 divide v(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (-9)\/(-12))\/1. Which is the smallest value? (a) o (b) 2\/11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 117, 32, -101, -282, -511?\n\"Answer: -24*t**2 - 13*t + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.36 minus 44822443730?\nAnswer: -44822443728.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-104)\/(-16) - 6)*(7 - 3). Let t(r) = -14*r**2 + 28*r + 4. Let x be t(o). Solve -4 = 4*p, x*j = -0*p + 2*p + 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 20, -b - 16 = -3*p - 0. Suppose 10 = -40*j + 42*j. Solve -j*w = -w - p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - 2 + 12 - 4 + 3*r - 8. Let v(x) = -4*x**2 - 3*x + 3. What is -3*n(j) - 2*v(j)?\nAnswer: -j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - w + 2. What are the prime factors of y(4)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 + 83.4. What is q rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 11668, -0.0593 in descending order.\nAnswer: 11668, 3\/8, -0.0593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-20)*(-75)\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 887 + 570 = 41*h + 22. What is the lowest common multiple of h and 680?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 23. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 12565*g + 603122. What is i(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11)\/(g\/(g*g**(2\/31))))\/(g*g**(-26))**41 assuming g is positive.\nAnswer: g**(31436\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2582 is divided by 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1 - 1914\/(-116)*(-8)\/22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/7 in -0.2, -6, 2\/9, -2, -21.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 555*f - 1953. Let z be w(-5). Is -4727 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -r + 4*r. Let n be (-403)\/(-5) - (-42)\/105. Factor -2 - 78*y**3 + 9*y + 9*y**2 + n*y**r + 5.\nAnswer: 3*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -36, 7, -2, 5 in increasing order.\nAnswer: -36, -2, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -459*a - 539. What are the prime factors of i(-10)?\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3841 + 4029. What is the remainder when 189 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4206 and -20.\nAnswer: -84120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 5, -10 in descending order.\nAnswer: 6, 5, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.0903\nAnswer: 0.2709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552 - 1152 = 136*x + 148*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 3*s**2 - s - 2. Let l(y) = 3*y + 33. Let w be l(-10). Determine a(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318400 rounded to the nearest 1000?\nAnswer: 318000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 21 = -p + 4*p, 0 = -5*u + p - 47. Let h(y) = -198*y - 133. Is h(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i + 15*i + 35*i)*(-3 - 3 + 3)*(-2*i + 3*i - 2*i).\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 5, z: 11}. What is prob of picking 3 d?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101100 (base 2) to base 14.\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**4\/20 - 4*f**3\/15 - f**2\/2 - 2*f\/5 - 220. Suppose a(k) = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-157 - (83 + -218)) + 171\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -14*r + 376. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11937639\/3868 + -12345\/4. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 n, and 1 w when three letters picked without replacement from {n: 1, e: 1, w: 1, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389776028, 389776024, 389776020, 389776016, 389776012, 389776008?\nAnswer: 389776004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 19*k**2 + 17*k + 13. Let n be u(-16). Let f(j) = 3 - n*j + 1 + 506*j. Determine f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 - 72. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45131 (base 6) in base 15?\nAnswer: 1d14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*k**3 + 141*k**3 - 3*k + 3*k - 142*k**3.\nAnswer: -351*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 31 = 4*j + 15, 0 = -4*j + 3*i + 16. Sort 3, j, 2, 5.\nAnswer: 2, 3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w**5 + 2646*w**4 - 50310*w**3 - 109740*w**2 + 187623*w - 30186 = 0. Calculate w.\nAnswer: -3, 2\/11, 1, 39, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -606*s - 4. Let z = -89 - -88. What are the prime factors of a(z)?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -20*f - 76 - 67 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 7*b**2 - 6*b. Let w be u(-6). Suppose w*d = -3*d + 6. Suppose -2*q + 14 - d = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372895249 is divided by 4810.\nAnswer: 4809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b*d*j - 45*b*j - 2*b - 67531*d*j - 2*j - 10 wrt d?\nAnswer: -b*j - 67531*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 219 + -131. What is the highest common factor of s and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppz when three letters picked without replacement from {z: 1, p: 3, v: 1, b: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142 and 35493397?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = u - 0*u - 40, -u = s - 10. Let q be (12\/u)\/4 - (-14)\/280. Factor -q - 1\/4*p**2 - 1\/2*p.\nAnswer: -(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**9\/22680 + w**8\/10080 - w**7\/3780 - w**6\/1080 - w**4\/12 + 3*w**2. Let b(r) be the second derivative of u(r). Factor b(d).\nAnswer: 2*d*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 294.\nAnswer: -29\/294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 120109.2 * 7\nAnswer: 840764.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2328680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 816*n - 815*n - 14553, 3*k - n - 21822 = 0. Calculate the remainder when k is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -10) + -2 - -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29.2 - -162. Let c = -75 + 188. Let w = a - c. What is w rounded to 0 dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g - 9. Let w be f(4). What is the closest to 5 in 0.3, w, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 475 + 455 = 0. Suppose 4*a - 10 = -a. Suppose b*g = y + 19 - 1, 10 = a*g. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-25)*(4 + -6 + -23).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v + v - 2*v + (-11*v - 16*v - 4*v)*(-6 + 0 + 4) in the form j + g*v and give g.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f = -27*f + k - 4, 2*k - 17 = -5*f. Calculate the highest common factor of 37 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7458735 is divided by 8081?\nAnswer: 8053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 + 173. Calculate the remainder when 196 is divided by p.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2588, 2553, 2542, 2567, 2640, 2773?\nAnswer: 2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 4*d - 5*z + 2*z, -d = 5*z - 23 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -54222 divided by 2582?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.96 + -0.04. Let c = x + 7.5. Let l = c - -0.5. What is the closest to 1 in 3, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuunubnzrznbzu. Give prob of picking 2 z, 1 b, and 1 u.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -109 + 236 + -47 + -174\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33549547 rounded to 3 dps?\nAnswer: 0.335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7158128227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**4 - v + 2. Let c(k) = 922*k**5 + 4*k**4 + 12*k - 60. Let a(w) = c(w) + 4*m(w). Find the second derivative of a(f) wrt f.\nAnswer: 18440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aahaatgzzoahatag. Give prob of picking 1 g and 2 t.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -38*f**2 + f + 22. Let v(m) = -41*m**2 + 28. Determine -5*d(u) + 4*v(u).\nAnswer: 26*u**2 - 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 + -114. Calculate the common denominator of (492\/16)\/(5*4\/p) and -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-711*i + 404*i + 7 - 7)*(27*i**2 + 82*i**2 - 14*i**2) to the form l*i**2 + d*i + f*i**3 + j and give f.\nAnswer: -29165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 438 + -197. List the prime factors of o.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.278654 litres in millilitres?\nAnswer: 9278.654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -262, -543, -844, -1171, -1530?\n\"Answer: -m**3 - 4*m**2 - 262*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1857a1 (base 12) to base 2.\nAnswer: 1100111101000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2980, -5960, -8940, -11920, -14900, -17880?\nAnswer: -20860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**3 - 5*l**2 + l + 6. Let v(g) = -g**3 - 7*g**2 + 14*g + 3. Let i be v(0). Determine y(i).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u**4 - 2*u**2 - 2*u + 28. Let m(k) = 24*k**4 - 9*k**2 - 9*k + 112. Let l(i) = -2*m(i) + 9*x(i). Differentiate l(s) with respect to s.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -53*f + 108. Let u be z(2). Suppose 2*l + 0 = -8. Let d be ((-2)\/4)\/((-1)\/l). Which is the closest to u? (a) -1 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 3578?\nAnswer: 17890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b. Let z = 2 - -1. Suppose 3*k - 4*n - 35 = 6, b = -z*n - 15. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2224*r - 3 = 5*q - 2223*r, -r + 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 7*z + 6. Let v(a) = 1. Let w(u) = -3*v(u) - y(u). Let d be ((-9)\/(-12))\/((-776)\/160 - -5). Let p be w(d). Solve 3 = m + p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16418 or -1.13?\nAnswer: -1.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 217*i + 6457. Calculate b(33).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 + 2280*p**2 + 16132*p + 13848 = 0.\nAnswer: -6, -1, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1360260 and 1995.\nAnswer: 180914580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 111222844255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**5 + 0*u**5 - 2*u**5 + (178*u**2 - 178*u**2 + 28*u**4)*(-127*u - 3 - 126*u + 244*u).\nAnswer: -250*u**5 - 84*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-153))\/((1*-1)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -950, -3815, -8592, -15281, -23882?\nAnswer: -34395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(7623) - (sqrt(7623) + 0)**2))*5*-4.\nAnswer: -660*sqrt(7) + 152500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2171 or 2172?\nAnswer: 2172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*h + w = 91*h + 10298, -3*w + 10306 = h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 3. Let l(g) = -4*g - 9. Let m(a) = 2*l(a) + 7*s(a). Let t be (6\/5)\/(4\/(-10)). Give m(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21961 - 11406. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*i = 62*i + 28 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14234 divided by -2\nAnswer: 7117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30613898*s - 30613596*s = -31710 for s.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5528400, -11056800, -16585198, -22113594?\nAnswer: -27641988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 935\/(-44) - (-121272)\/4960.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, -70, -0.7, 13\/2, -5.\nAnswer: -70, -5, -0.7, 1, 13\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 566 - 566. What is the nearest to 1 in l, -4, 5, 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359636584788 + 359636584788 + 4*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*u + 440 + 1132 = -60 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007015909 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -198*z + 55*z + 60*z + 57*z in the form f + p*z and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314*0.8.\nAnswer: -251.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 5*q = 16. Suppose -15 = -q*x + 177. What is the smallest common multiple of x and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8016?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 15. What is the greatest common factor of i and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*u**6 - 33 + 3*u**2 - 455*u**6 + 45 + 90 wrt u.\nAnswer: -61080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 + -1)*(-15 - -14). Let o = 8 + h. Let b be (-32)\/182 - 16\/56. Which is bigger: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 45\/(-10))\/((-2)\/(-204)). Let m(d) = 5*d**2 + 2*d + 2. Let n be m(3). Let a = s + n. Calculate the highest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9546.6+2.7\nAnswer: 9549.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 + 8*l**2 - 7*l - 3. Let j(c) = -c**3 - c. Let s(d) = -j(d) - q(d). Is s(-9) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/4 - 1101*l\/2 - 8311195\/4 = 0.\nAnswer: -1985, 4187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, 7, 0.3, -3, 34, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2114, 8441, 18980, 33731?\n\"Answer: 2106*w**2 + 9*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + -2*3*sqrt(152))\/(4*sqrt(1152) - sqrt(1152)).\nAnswer: -5*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (96\/10)\/4*-5. List the prime factors of 3 + ((-1065)\/c)\/(-5)*-4.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -3*t**4\/4 - t**3\/3 + 6. Let h(y) = 2*y**3 + y**2. Give -6*h(l) - 5*v(l).\nAnswer: 3*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from dddoooovdoovood?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -5 (c) -4 (d) 7 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 13*j = 28. Solve 0 = 5*k + 25, -j*s + 3*s - 37 = 5*k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1124, -4571, -10342, -18437, -28856, -41599, -56666?\nAnswer: -74057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0495 + 67.3505. Let k = -61 + w. What is k rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 e when three letters picked without replacement from eiimifsefi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1631*a*d*l**2 - 1840*a*d*l - 7782*a*l**2 + 111*a*l + d*l**2 - 2*d*l - 2*d + 2*l**2 + 4*l wrt l?\nAnswer: 3262*a*d - 15564*a + 2*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3690.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -562 + 268. Let n = x - -304. Suppose -5*z = 0, -4*z = -4*a - 3*z + 24. Solve i = n - a, 0 = 2*w + 5*i - 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(605) + sqrt(5) + sqrt(80) + 2.\nAnswer: -2 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -411 + -3?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17835471659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1091965 = -16*h + 1082899. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -197*a + 38*a + 125*a + 35*a. Let c(q) = 86*q**2. Give d(c(j)).\nAnswer: 86*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/17)*l\/(l\/l**(-1\/16)) assuming l is positive.\nAnswer: l**(15\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 11*l = 121568. Let u = l - 39216. What is u rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -12*q. Let a be (-6)\/15*4\/4*-5. Let s(i) = 0*i + i - a*i - 2*i. Give o(s(p)).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14b2 (base 16) in base 4?\nAnswer: -1102302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -3 - (-460 + 490)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 56254.69 years?\nAnswer: 562.5469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 - 257. Let g = f - -166.8. Sort g, 7, -2, 6.\nAnswer: -2, g, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 12:27 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 2*c - 9*n - 13263, n + 33125 = 5*c. What are the prime factors of c?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, p: 7}. Give prob of picking 3 p.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -912 - -888. What is the smallest common multiple of (1 + -7 - q)*1 and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 336 - 348 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 0.2 (c) -0.3 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27749939621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2072441 + 570456 = 212*h - 2380655. What is the ten thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 0)*(-4 + 1 + 4) + (-1 - 3 + 3)*(-2 + 2 - 2) + 4 + 0 + 10)*(-7*x + 32 - 32).\nAnswer: -105*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 873490.8 hours in milliseconds?\nAnswer: 3144566880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16374 - (-4 - 3 - -3). Suppose -v - 1710 = 4*x. Let r = -45307\/10 - x. Find the common denominator of 111\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -9. Let n(l) = -l**3 - 2*l**2 + 9. Let p be n(-4). Let d = -31 + p. Calculate the highest common divisor of k and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -569475, -4556308, -15377715, -36450984, -71193403?\n\"Answer: -569548*z**3 + z**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 3\/8774, 3, -2?\nAnswer: 3\/8774","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + s**3)*(-7*s - s + 7*s) - 2 - 2*s**4 + 2.\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10796 and 14852597?\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 177272.7 decades in centuries?\nAnswer: 17727.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 128 and 0.5.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88867?\nAnswer: 88867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38, 46, 54, 62?\n\"Answer: 8*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.190086 to 2 decimal places.\nAnswer: -38.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29122 (base 10) in base 4?\nAnswer: 13013002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 604320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -1. Let o(m) = -m**3 + 5*m**2 - 9*m + 9. Let x be o(2). Let v(i) = -4*i + 29. Let f be v(7). What is the closest to -41 in x, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5049141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1663 + l - l + 1663 + 3*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2398884239.\nAnswer: 2398884239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grgr. What is prob of sequence rr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1594\/165 - 48\/5. Let r(v) = v**2 + 59*v - 120. Let u be r(-61). Is u greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13322*k + 26658*k - 13330*k + 127*k**2.\nAnswer: 127*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16905 is divided by 3550.\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90607 - 132173. Let m be z\/(-32) + (-1 - -2). Let n = 1301 - m. Calculate the common denominator of n and -83\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:38 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (145 + -84)\/(0\/(-2) + -48) and -29\/88?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 8, -j + 883*l - 880*l = -12. Sort 4, j, -18 in decreasing order.\nAnswer: 4, j, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + y - 14 = 0, 5*y = -199 + 219 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 4*g - 2. Let p = -110 - -114. Calculate the smallest common multiple of k(-3) and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w. Let y(n) = n - 1. Let c(p) = -12*p + 27. Let f = 67 + -13. Let s(u) = f*y(u) + 2*c(u). Calculate s(x(m)).\nAnswer: -120*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27260 is divided by 5359.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 10*a**2 - 4*a**2 - 7*a**2 - a + 3 - 4. What is r(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppp. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -4. Suppose 4*l - l = n. Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15 - -1)*((-35)\/(-5))\/14. Let i(m) = 175158*m + 106. Let k be i(n). Round k to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127140 is divided by 295?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 4*w - 14 = 11*x, -2*w = -2*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - -0.15. Is k < -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 313542.73\nAnswer: -1567713.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 758629467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g - 33*g + 90*g - 33*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120991301?\nAnswer: 47, 97, 26539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 17 + 3 = 0. Let c(d) = -6*d**3 - 7*d**2 + 6. Let p(y) = -y**3 + y + 1. Let l(t) = n*p(t) - c(t). Calculate l(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115*z**3 - 27645*z**2 - 6069806*z - 1 wrt z?\nAnswer: -690*z - 55290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*i - 40, -16790 = -2*i - 5*s - 16682 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -96 (base 13) to base 9\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**4\/12 + 8*u**3\/3 + 57*u**2\/2 + 468*u + 2. Determine s(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.224395ng in tonnes?\nAnswer: 0.000000000000002224395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/9 + 3664*o**3\/3 - 2517168*o**2 + 2305725888*o - 792016842528 = 0. What is o?\nAnswer: 1374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/11 + 67016*p**2\/11 - 59999530*p\/11 + 13614448612\/11 = 0. Calculate p.\nAnswer: 457, 32594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*d - 2177*d + 47475 = -32513 + 9750 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*l - 20519 + 75599. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -294193 and -294197 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -625.\nAnswer: -4\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-11))\/((-222)\/407)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3451.696 millennia?\nAnswer: 3451696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 243*h**2 + 3*h - 4. Let x be c(-1). What is x rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -4*r + 4*p, 24 = r - 2*r + 5*p. Let k(h) = -h - 1. Let d be k(r). Let a = -90\/11 + d. Sort a, 2\/19, 1\/3 in decreasing order.\nAnswer: 1\/3, 2\/19, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7 + d**2 + 7 - 9 + 3*d + 15*d**2 + 2*d**3. What is the tens digit of c(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -339*l - 4990. Let i be r(-15). Solve 102*u - i*u - 14 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2646*u - 29105. Let j be v(11). Let x = 5 + -8. Suppose -2 = -2*p - 10. Which is the closest to x? (a) p (b) j (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -8*b + 3*b - 44635, 0 = 3*i. Let s = -275082169\/20 + 13763040. Let v = b + s. Calculate the common denominator of 53\/10 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2627086 and 5929.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6309*g - 494. Is x(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 1\/10, 5 in increasing order.\nAnswer: 0.08, 1\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2. Let c(o) = -12206549*o. Give m(c(j)).\nAnswer: -297999676978802*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 t when three letters picked without replacement from {t: 4, i: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18122 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 13*l. Suppose -6*u + 7 = -5*u. Let z(j) = -j**2 + 6*j - 2. Let f be z(u). List the prime factors of x(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -3, -5422, -202 in decreasing order.\nAnswer: 5, -3, -5, -202, -5422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/73212795 and 52\/161068149.\nAnswer: 805340745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 118*d - 70. Let m be r(14). What is the greatest common factor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 1 - (60 - 66).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15962 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u + 448 - 77 + 921 = 0 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + r - 2, -f + 4*f - 3*r + 12 = 0. Suppose 6*c - f = -1. Solve g = -2*g + 4*d - 10, -4*d + 4 = c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 34657 - 3056 = 4*p, 4*b - 15814 = -2*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -14, -1.\nAnswer: -14, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 329495*b**2*q**2*v**2 - 26*b**2*q**2 - b**2*q*v - b*q**2 + 38*b*q*v - q wrt v?\nAnswer: 658990*b**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, -0.9, -1\/3, 3\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + ((5 - 15) + 6 - -18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -2\/5, 2\/57 in decreasing order.\nAnswer: 16, 2\/57, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 + -1344?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7698 + 14284. What is the highest common divisor of q and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five eighths of a day?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1709 + 1709 + 70*k + (2 + 0 + 0)*(k - 4 + 4) + k - 3*k + 3*k.\nAnswer: 73*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i + 118 = 2. Let x be (-2)\/5*10\/2. Sort -4, i, 3, x in decreasing order.\nAnswer: i, 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1770)\/(-120) - (1\/(-4))\/1. What is the highest common factor of 120 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -18, -2, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*s + 43*s + 15*s**2)*(4*s**3 - s**3 - 4*s**3 + 4*s).\nAnswer: -15*s**5 + 60*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(-5*z**2 + z**2 + z**2) - 34*z**2 + 25*z**2 + 75*z**2 + 0*z**2 + z**2 - 3*z**2.\nAnswer: 73*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 2:48 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 + 188. Calculate the highest common factor of u and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -193*s - 38*s + 1630 + 1373. What is the third biggest value in 14\/9, 9, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 15*a**2 + a + 4. Let g(b) = -12 + 0 + 49*b**2 - 3*b**3 - 4*b - 5*b**2. Let c(k) = 6*g(k) + 17*m(k). List the prime factors of c(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/2 and ((-130)\/(-36))\/(30\/18 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.46 rounded to 0 dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/9)*g)\/g**1*g**13\/g*g*g**(-18) assuming g is positive.\nAnswer: g**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*m + 1841 = 1105 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 936*v**3 - 2108*v**2 - 51120*v + 188800.\nAnswer: 4*(v - 5)**2*(v + 8)*(v + 236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243 - -1183. Suppose -4*i - 5*c + 3233 = -h, -5*i = 4*c - 5835. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -0.8 (b) 0.4 (c) -2\/11 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28 - 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -744, -3274, -7590, -13692, -21580?\nAnswer: -31254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 6*p - 4. Let l be m(4). Suppose -l*f = -3883 - 3993. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 793.4825cm?\nAnswer: 7934825000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 722384078 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3569729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = t + 11, t + 4*i - 8*i + 10 = 0. Does 7 divide (-21)\/(-6)*21*(-4)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 58*b - 56. Suppose 0 = 4*w + 10*l - 9*l - 112, -3*w + 84 = -5*l. Let x be z(w). Solve -2*o - 4 = -4*i, x*i = -2*i - 4*o - 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*w - 88*w = -c + 24, 5*c - 8 = w. Let d(p) = p**2 - 10*p - 7. Give d(w).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/157, -2\/11, -11, 4?\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185 + 314. Suppose 0 = 4*u + h - 117, 0*h + t = 4*u - 3*h. Let l = 8 - 5. Calculate the highest common divisor of l and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*l)*(1 - 1 - 2) - 1 - 3*l + 1 + 5 + 26*l + 15*l - 56*l + 4*l + 0*l - 5*l to f + d*l and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19933?\nAnswer: 31, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58863*c + 340763*c + 1325964*c + 702237*c.\nAnswer: 2427827*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 15*g**2 + 13*g + 6. Let o be h(14). Let q = o + -8. Find the common denominator of ((-7)\/2)\/(44\/q) and 26\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*w = -5*y + 46*w - 25, 6*y + 14 = -2*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + n + 11 = -0*t, -5*t - 4*n = -19. Suppose -5*v = t*q + 133, -2*v - 2*v = -4. Let w = 83 + q. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 - 24 = -2*y, -4*y + 5*i = -52. Let d = 32 - y. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8193882 * 5\nAnswer: 40969410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.24161 in -5\/3, -1\/2, 14?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22398 + -14022. Round w to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*r + 35579790. Suppose 5*s = 4*s + 2. Suppose -23915958 + r = -s*q. Round q to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9309*f - 884768 = -979*f for f.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*x - 72*x - 24*x.\nAnswer: -33*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -3*q. Suppose q = 3*f + 42 + 42. Let t = -11 - f. What is the highest common divisor of t and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 4. Let f be u(4). Suppose -2*c = -3*b - 3*c - 23, -4*c = -b - f. Let h be 2\/(14\/b - -2). Solve 0 = h*o - 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1834\/33 + 625\/11. Let j = 1\/181415 + -17597273\/3265470. Find the common denominator of j and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 958648 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 12, -4*i + 12 + 12 = 2*q. Suppose -8696 = 2*p - z, -z - 10790 - 6614 = q*p. What is p rounded to the nearest 100?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 595, 609, 627, 649, 675, 705, 739?\n\"Answer: 2*c**2 + 8*c + 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3*k = 21, 9*k - 11 = 3*z + 4*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 356*f**2 - 8*f - 30. Let k(p) = -164*p**2 + 4*p + 14. Give 13*k(q) + 6*x(q).\nAnswer: 4*q**2 + 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 14}. What is prob of picking 1 y and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*c = 140*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9469.922l?\nAnswer: 9469922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 60, -19, 54?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -62691992 divided by 4\nAnswer: -15672998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/4 or -68748\/5?\nAnswer: -68748\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/4)\/(1\/(-6)). Let i be 1\/2*(3 - l). Solve -a = 4*a + i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 335 - 0?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -2 - -3 - 16. Let k = -8 - b. Solve -2*t = t - k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n + 6. Let i be (2 - -3) + 6\/n. Solve -j = q - 3, 4*q - 16 = i*j - 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39 - -2e5b?\nAnswer: 2e22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsxv when four letters picked without replacement from snvssxsnvssvvssnsx.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1269 + -4669?\nAnswer: -5938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -20. Suppose u*o - 11 = -7. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3212529026.\nAnswer: 2, 7, 229466359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 2*i + 22. Let o(j) = -7*j**2 + 5*j + 24. Determine -l(p) + o(p).\nAnswer: -8*p**2 + 7*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-12)*4*(-3)\/(-144)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9024 divided by 3008?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - o + 35*o**2 to a + y*o**2 + i*o and give y.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1f89 (base 16) to base 11\nAnswer: 607a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {t: 4, z: 1, o: 1, q: 7}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*w - 23 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m*s**3 - 5*m*s**2*x**2 - m*s*x**2 - 5*s**3*x**2 - 2*s**3*x - 2*s**2*x**2 + 4*s**2 wrt s?\nAnswer: -12*m - 30*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y + 10. Let t(z) = -2*z. Let f(x) = 4*t(x) + w(x). Let u(s) = -1. Give -f(m) - 10*u(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -58*d. Let c(z) = -2*z. Determine q(c(k)).\nAnswer: 116*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000100101100 (base 2) in base 3?\nAnswer: 1021010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134 and 3551.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -105\/166 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 252, 366?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1522\/4 + -3)\/(18\/(-821)). Let z = h + 17216. Calculate the common denominator of z and 15\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.056 (b) -3 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 776930 (base 16) to base 9\nAnswer: 15646765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 10 + 1)*(0 + 0 + 3)*(-c + c + 2*c)*(4*c**2 + 5*c**2 - 5*c**2)*(0*c - 4*c + 2*c).\nAnswer: 432*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50671.8219 + 1.431443.\nAnswer: 50673.253343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/20993 in 0, -2, -344?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 8:41 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1137373 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1853*h**2 - 6*h + 4. Let d(j) = -277952*j**2 + 903*j - 602. Calculate -6*d(z) - 903*s(z).\nAnswer: -5547*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 22 = 2*g, 0 = -3*f + 7*f - g + 25. Let m = 8 + f. Find the third derivative of -n - 42*n**4 + 31*n**4 + n - 10*n**m wrt n.\nAnswer: -264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737970.\nAnswer: 2, 3, 5, 17, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1818 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10268 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 6682*f + 186316. Calculate v(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -7. Calculate the remainder when 57 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 1608. Let k(z) = 15611*z. What is a(k(l))?\nAnswer: -15611*l + 1608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14856411*v**2 - 64140365*v?\nAnswer: -29712822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) - (-1476)\/(-24). Let r = u - -65. Calculate the greatest common divisor of 9 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 302 + -1 + -2. Find the common denominator of 27\/7 and (-558)\/g - 2\/(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14339, -28661, -42967, -57251, -71507?\nAnswer: -85729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -4 (b) -18\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 2*n - 864 = 0. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -14.5243.\nAnswer: 2.90486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**6*x**2 - 760*h**4*x**3 + 608*h**2*x**3 - 2*h**2*x wrt h?\nAnswer: -120*h**3*x**2 - 18240*h*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/102 and -70\/117753?\nAnswer: 4003602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/7, 57, 70\/11, 18, 3\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than or equal to -13895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126 - 83. Suppose -2*c = g - a, 123 = 3*g + 2*c + c. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39720 divided by 3972?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45719936 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 7*c**2 + 3*c - 14. Let i be y(-6). Suppose 180 - 60 = i*x. Let r be (-1)\/(-3) + (-896)\/(-12). Calculate the highest common factor of x and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 426*r*z**4 - 24*r*z - 4*r - 5*z + 1 wrt z?\nAnswer: 5112*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3058753*j**2. Let b(v) = -2*v. Calculate b(m(n)).\nAnswer: 6117506*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((0 - 3) + 3100\/40). Is j smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5967?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.38527484 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b**3 - 3*b**2 - b - 10. Suppose 106*l + 12 = 110*l. Is 36 a factor of i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5\/6 + 79*y**4\/6 - 379*y**3\/6 + 673*y**2\/6 - 260*y\/3 + 74\/3.\nAnswer: -(y - 74)*(y - 2)*(y - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2738472 divided by 41492?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119.07 - 259.95. What is m rounded to 0 decimal places?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/8*-1)\/((-17)\/(-102)). What is the nearest to -2\/5 in -0.1, m, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686*u**2 + 686*u**2 + 71*u**3.\nAnswer: 71*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 1\/4*b**4 + 5*b**3 + 16*b + 11 - 3\/2*b**2. What is the tens digit of h(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295463 is divided by 523?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(5*d**2 - 2*d**2 + 0*d**2)*(-1 + 0 - 1).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 divided by -99.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*n**2*v**2 - 4*n**2*v + n**2 - 7*n*v**2 - 842*n - 4231*v**2 + 2*v - 3 wrt v?\nAnswer: -18*n**2 - 14*n - 8462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*d + 205*d - 530 = 352*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -1285.1 and -1.13.\nAnswer: -1286.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - 2*i + 6*i)*((-135 + 36 + 55)*(0*i + i + 0*i) + 0*i + 2*i + 0*i) to w + b*i**2 + s*i and give b.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*a + 162*a + 13 - 11 + 39*a + 14*a**4 + 74*a + 8*a**3 wrt a.\nAnswer: 168*a**2 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3}. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.997 - 0.003. What is the nearest to h in 4\/5, 4, 1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2739 (b) 139 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -28. Suppose -30 = -6*m + d*m + 3*z, -5*z = 5*m - 125. Let o = 4 + 79. What is the remainder when o is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 2*y - 32. Give m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 13. Suppose -20 = -4*l - 3*p, 2*l - z + 3 = -3*p. Suppose -l*x + 7 = -x. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-146)\/(-219) - 22\/24. Sort 24, -5, -0.07, m.\nAnswer: -5, m, -0.07, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 222 - 114 - 108 + 4583*u to the form d + l*u and give l.\nAnswer: 4583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13258607 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t = 27*t - 6 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8*q + 5*l - 340 = 0, 0 = -2*q + 4*l + 148. Calculate the remainder when 125 is divided by q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*k**2 - 263*k wrt k?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.6? (a) 42 (b) -2\/19 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/3381 and 81\/238280.\nAnswer: 5003880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/18*133\/2 and 4\/6 - (-4460)\/240.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 980272 divided by -61267.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m**3 - 5*m**3 + 4*m**3 + 3*m**4)*(4 - 3 - 3 - 728 - 34 - 719 + (4 - 5 + 3)*(-4 + 0 - 3)) to the form v*m**2 + n*m**3 + x*m + s*m**4 + u and give n.\nAnswer: 1497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -57*w + 54*w. Let n = w - -127. What is the greatest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 + 2*w. What is t(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 o when three letters picked without replacement from omoyoyyomooeyeooeoeo?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/4784 and 41\/460?\nAnswer: 23920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c + 10. Let u be y(4). Let k be (-1 - 0)*(-24 + 21). Suppose 0 = -2*n - 5*r - 0*r + 37, 0 = -3*n - k*r + 69. Is n > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 4. Calculate v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) + sqrt(960) + (sqrt(960) - (sqrt(960) - -2*sqrt(960)*-5)) - sqrt(960)) + sqrt(960))\/(-2*(sqrt(180) + sqrt(180)*-2)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -728 + 737. What is the smallest common multiple of 90 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.4124 and -0.4.\nAnswer: 6.0124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58371068 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/4*(-2)\/(-20)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/11 - -1\/22. Let p = 9.05 + -0.05. Let n = -8.8 + p. Which is the nearest to k? (a) n (b) -3\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -11432024?\nAnswer: -11432026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**4\/12 + 4*j**3 - 26*j**2 - 6*j. Let i be s(21). Solve i = 5*a - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.02 - 15622.\nAnswer: -15614.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 4, s: 6}. Give prob of picking 1 s and 2 a.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321930?\nAnswer: 2, 3, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -121.43 and -34504643.\nAnswer: -34504764.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 248481?\nAnswer: -124240.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 57 + 47*o - o**3 - 47*o + 36*o**2 + 10. Factor x(i).\nAnswer: -3*i*(i - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 + 16*d**3 + d**3 + 0*d**3.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 17*u**3 - 235*u - u**2 + 235*u to the form i + d*u + l*u**3 + r*u**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3\/3 - 7*z**2\/3 - 62*z\/3 - 5 = 0. What is z?\nAnswer: -3, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -0.3, 1\/3, 0.65?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -187? (a) -5 (b) 0.27 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2 - 8778663*p = 0. Calculate p.\nAnswer: 0, 2926221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16441 - -16488. Let u(y) be the first derivative of -11\/30*y**3 - 1\/5*y + o + 13\/50*y**5 - 3\/8*y**4 + 3\/4*y**2. Determine i so that u(i) = 0.\nAnswer: -1, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 10*j**3 - j**2 + 2. Let k be i(1). Suppose -2*s - 8 + 21 = x, 2*x - 21 = -3*s. Solve 0 = 4*q - n - 2 + k, 2*q + s*n + 21 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m*m**(4\/9))\/m)\/m*m))**46\/(m**(-10)*m*m\/(m*m**(-2\/21))) assuming m is positive.\nAnswer: m**(2171\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 11:26 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*h - 1 + 7, 0 = 2*u + h. Let f(v) = v**3 - v**2 - 1. Let l(j) = -6*j**3 + 7*j**2 - j + 4. Let k(x) = u*l(x) - 4*f(x). Determine k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63460410 and 188240?\nAnswer: 507683280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 9. Let w(d) = 2*d + 2. Calculate the lowest common multiple of (-3 - -7)\/(2\/4) and w(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*i + 8 = 0, n - 4*i - 8 = -0*n. Suppose 3*o - 346 = 89*z - 88*z, -n*z + 588 = 5*o. What is the greatest common factor of 58 and o?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47841187 by 1.\nAnswer: 47841187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-78)\/12 + 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = 3*v. Let h = v + 4. Is 17 a factor of 2 + (h - 0) - -15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/73, 2\/5, 2, -0.5 in descending order.\nAnswer: 2, 2\/5, -1\/73, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, e: 17}. What is prob of sequence eoee?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 16, -3*m + 5*m - v - 8 = 0. Let a be 165\/35 + 2\/7. Suppose -4*q + 5*q - a = 0. Which is greater: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 13*b - 5. Let t be j(-13). Let u(m) = -m**2 - 9*m - 2. Let r be u(t). Solve -4*i + 22 = -3*q, 3*q + r = 4*i + 2*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101484443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71446*b**2*i - 145*b*i + b - 15893912*i with respect to b.\nAnswer: 142892*b*i - 145*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5314748.\nAnswer: 2, 23, 41, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 3404?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o. Let v be j(-1). Let t be ((-4)\/v)\/((-2)\/(-12)). Suppose 3*c + 5*q = 44, t = 5*c - 5*q - 17. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13439 is divided by 351.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.917299 centimeters in millimeters?\nAnswer: 9.17299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 4:22 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17321*g**4 + 264*g**2 - 14*g wrt g.\nAnswer: 415704*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*v - 91*v + 4 - 5)*(-2*v**3 + 0*v**3 + 0*v**3).\nAnswer: 84*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 902199120 to the nearest integer?\nAnswer: 30037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17400 by 3480.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 56*a**3 + 25*a**2 + 7*a - 7. Let q(l) = -56*l**3 - 25*l**2 - 6*l + 6. Let j(m) = -7*q(m) - 6*v(m). Find the third derivative of j(t) wrt t.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027000 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*u - 25 = -2*u, -i - u = -19. Suppose -17*c + 64 - 13 = 0. Suppose 3*w + 6 = -m + i, m = c*w - 9. Put -1, 0, -2, m in descending order.\nAnswer: m, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6798066 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y. Let q(t) = -217*t**2 + 16*t + 4. Let i(v) = 4121*v**2 - 312*v - 78. Let c(x) = -2*i(x) - 39*q(x). What is m(c(r))?\nAnswer: -442*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 12:36 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7010.83 rounded to the nearest one hundred?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1208 and -0.1325914.\nAnswer: -160.1704112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 878478 to the power of 1\/2, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 4. Let u(m) = -m**2 + 3*m - 3. Let o be u(3). Let t be y(o). Solve 0 = 3*l + 5*r - 13, 7*r - t = -l + 4*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4.3. Let w = -0.2 + a. Let v(s) = s**3 + 3*s**2 + 3*s + 4. Let p be v(-3). Sort p, 0.4, w in ascending order.\nAnswer: p, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmylmklklmlmullml. Give prob of picking 1 m, 1 l, 1 u, and 1 k.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + h**2 - h**4 - 83 - 20609*h**3 + 20607*h**3 + 0*h**2 + 0*h**4 to a*h + p*h**2 + c*h**3 + y*h**4 + f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002626 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 18 = -2*o + 4*o, 13 = -5*o - 3*i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - i - 2*i)*(-8025*i - 1098*i + 1864*i - 5122*i) to b + l*i**2 + s*i and give l.\nAnswer: 12381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 6878\nAnswer: -1\/3439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -847756*t - 2005043?\nAnswer: -847756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2763)\/15 - (-4)\/20. Let r be (-11)\/(-55) + a\/(-5). Let p = 52 - r. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169 - -403. What is the remainder when v is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45897794 a multiple of 1547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 2*x**2 - 67*x - 144. What is z(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24322 (base 6) to base 7.\nAnswer: 13301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39*1 - (-1710 - -1683)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76478, -152960, -229442, -305924, -382406?\nAnswer: -458888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -85, -10, -4\/3, 5\/3 in increasing order.\nAnswer: -85, -10, -4, -4\/3, 1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2892511314 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000010 + 10?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 18*a**2 + 31*a - 37. Let m be w(20). Let q = 221 + m. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 3246?\nAnswer: 16230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 - 114. Suppose -o = -4*y + 3*o + 4156, u*y = -4*o + 2102. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 166207 + 8*u - 9*u + 5*u.\nAnswer: 4*u - 166207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*a - 59956 = -130*a. Is a less than 2305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92304601919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 - 9347521*r**2\/4.\nAnswer: -r**2*(r + 9347521)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d**(-3\/13))\/d))\/(d\/d**(-1)))**(8\/7) assuming d is positive.\nAnswer: d**(-80\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 15663396*n - 203624486.\nAnswer: 2*(n - 7831711)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/4*44\/55 + 3. Solve -6 = f*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 1 + 1 + -2. Suppose 0 = -5*y - g - 5, -1 = y - 0*g - g. Let s = b - y. Let k(v) = v**3 + 4*v**2 + 2*v - 3. Determine k(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4117437 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/67, 1\/23850, 1 in decreasing order.\nAnswer: 1, 1\/23850, -2\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9232 - -13754. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 8 = -48. What is the least common multiple of y and (-1220)\/(-180) + (-4)\/(-18)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 10 - -23 - 16 - (-1 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*j - 9 + 9)*(j + 0*j + 0*j + 4*j - 5*j + 0*j + (-j + 5*j - 5*j)*(-5 + 0 + 3) + j - 15 + 0*j + 12).\nAnswer: -60*j**2 + 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171 - 115. Let k(y) = y**3 - 2*y**2 - y + 2. Let w be k(3). What is the highest common factor of n and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 270997673840?\nAnswer: -270997673839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/13287 and -41\/185241.\nAnswer: 820432389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 7:31 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from bbaffbbffbbbzzfaaa?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -3 (c) 1 (d) 30.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98784 and 1512.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4940, -4941, -4942?\n\"Answer: -m - 4939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 499 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 32 = 3*g, -4*l = -78*g + 76*g - 48 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 f when three letters picked without replacement from {f: 6, x: 4, r: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0041 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 11 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*a - 3*z - 63, 0 = -2*a + z + 44. Suppose -5*j + t + a = -14, -t - 13 = -2*j. Suppose -10*q = -j*q - 134. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 52\/3, 181, 6 in decreasing order.\nAnswer: 181, 52\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 225373189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -34.9. Let j = 12494\/11 - 1136. Sort -0.08, 0.1, n, j in decreasing order.\nAnswer: 0.1, -0.08, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*(-990)\/220.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8704297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u + 8. Let k be t(-3). Which is bigger: -1\/50 or k?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5845*15.9.\nAnswer: -92935.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*j - 221*j + 11455 - 17 = 0 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1840*g**2 + 3*g - 2. Is c(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 3*h - 78, -2186*v - 99 = -2184*v + 3*h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5\/4 + 31*t**4\/4 = 0?\nAnswer: 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95197.3 and 0.4.\nAnswer: 38078.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.669792 decades?\nAnswer: 6.69792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31790\/748*(399\/195 - 2) and -37\/208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/8 in 4, -11.6, -1176?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/3 - 3*d**4 + 20*d**3\/3 - 4*d**2.\nAnswer: d**2*(d - 6)*(d - 2)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 7)\/(((558\/(-108))\/31)\/(2\/184))\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 109*v**3 + 131*v**3 - 264*v**3.\nAnswer: -24*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40485504 and 45546192.\nAnswer: 364369536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630978 is divided by 78872.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -753, -4395, -10457, -18933, -29817, -43103?\n\"Answer: o**3 - 1216*o**2 - o + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 + 20 = -5*r. Suppose v = 2*v - r. What is the remainder when 34 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = -14*l - 12*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 13 = 8*f - 4*g, -5 = f + 2*g. Suppose 0 = k + 4, f*h - 5*k = 5*h + 52. Is h > -84\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 - 3*p + 4. Let g(i) = -i**2 + i - 1. Suppose -26*m + 39*m - 26 = 0. What is m*g(r) + w(r)?\nAnswer: 3*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 194749979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 2*f - 2*f)*(-3 + 1 + 1) to j + g*f and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -11*h**6\/120 - h**5\/12 - h**4\/4 - h**3\/2 + h**2 + 30*h. What is the tens digit of m(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -18e777?\nAnswer: 18e77c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -15 - (-2575 - -2533)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-27))\/(1\/9). Factor -o**r - 75 - 8*o - o**2 - 2*o**2 + 87 + 2*o**3 + 2*o**2.\nAnswer: (o - 2)**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11215625?\nAnswer: 5, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.2 + 1. Let h = -1.35 + -0.05. Let s = x - h. Which is the nearest to 2\/15? (a) s (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285044812.\nAnswer: 2, 13, 53, 59, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.01 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11748 = -543*g + 531*g. Calculate the smallest common multiple of g and 1513.\nAnswer: 16643","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -13. Suppose -m*b = -3*l + 3110, 2*l - 2088 = -11*b + 10*b. Suppose -l + 326 = -4*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - y**2 - 7*y**2 + (2*y**2 + 5 - 5 + 2*y)*(-2 + 2 + 2))*(-76 - 80*y - 80*y + 158*y).\nAnswer: 6*y**3 + 220*y**2 - 304*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3715*d**2 - 7566*d**2 - 17 + 3740*d**2 in the form t + o*d**2 + b*d and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 612\/(-180) - (-3 - -1 - 1). What is the fourth smallest value in r, 2, -3, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/3, 3, 6, 9, -0.065?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 + 105*b**2 - 3. Let w(f) = 3*f**3 - 210*f**2 + 5. Give -3*w(c) - 5*z(c).\nAnswer: c**3 + 105*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x = -24*x - 18*x + 8360. Calculate the lowest common multiple of 550 and x.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30368446 to the power of 1\/2, to the nearest integer?\nAnswer: 5511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1017\/8 + 127. What is the smallest value in 0.7, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/2073 and 121\/6910.\nAnswer: 20730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*x = -256*x - 495 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 39924*f - 239552\/3.\nAnswer: 2*(f - 2)*(f + 59888)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 7*x + 2*x**2 + 8 - 5*x. Let b be f(-6). List the prime factors of 1\/(-3 + 97\/b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1316 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8418 + 0.3418. Which is the fourth biggest value? (a) 2\/7 (b) 0.3 (c) 0.1897 (d) o (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -94.3.\nAnswer: 1225.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*m + 46*m - 75*m + 43*m.\nAnswer: 78*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x + x + 17 + 0*x + 4*x. Calculate the remainder when 39 is divided by s(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*g = -4*i + 2, -2*i + 2*g + 8 = 0. Suppose 3*s - i*h - 424 = 0, s - 702 = -4*s + h. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3699494, -3699634, -3699772, -3699908, -3700042, -3700174?\nAnswer: -3700304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-50)\/(-15))\/(-5) + 913672\/24 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 0 - 670\/60)*-6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1653220821 and 0.1?\nAnswer: -165322082.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - -0.8. Let d = w + -0.4. What is the second smallest value in 3\/5, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1854 - 20392\/11. What is the closest to -0.4 in 7, v, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40637 is divided by 2737.\nAnswer: 2319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/16? (a) 0 (b) -5 (c) -3 (d) -0.5 (e) 8\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1182 (base 12) to base 5.\nAnswer: -30340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3) + -9 - ((27 - 25) + 27)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n**2 + n + 3. Let v be p(0). Suppose 4*x = -x + 45. Let c be v*(3\/x + 1). Solve -3*m + 3 = -c*g + 4, -5*g + 3 = -2*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvqxxvyyvvuy. What is prob of picking 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 308 or 307?\nAnswer: 308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0*y**2 + 0*y**3 + 1\/6*y**4 + 0 + y. Let p(z) be the first derivative of -z**3 - 6. Give s(p(l)).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let j(s) = -14*s**2 + 59*s. Let z(r) = -j(r) - 6*m(r). What is the second derivative of z(u) wrt u?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, c: 3, o: 3}. Give prob of picking 2 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*(sqrt(96)\/sqrt(3) - (sqrt(88)\/sqrt(4) - sqrt(22))\/sqrt(11)).\nAnswer: 1 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 7, y: 2}. Give prob of sequence oy.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 16*h - 20. What is the units digit of g(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1100)*-2 - (sqrt(1100) - (-4 + 0 + sqrt(1100) - sqrt(1100))))**2 + (sqrt(66)*2)\/sqrt(6) + ((sqrt(99)*-5)\/sqrt(9))**2.\nAnswer: 362*sqrt(11) + 10211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 109, 225, 343, 457, 561, 649, 715?\n\"Answer: -w**3 + 7*w**2 + 102*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -8, 18, 64, 136, 240, 382, 568?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/(sqrt(54)\/sqrt(6)))\/sqrt(3))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 613877 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: What is the third root of 259373465 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*h - 48, 5*p - 30667*h - 110 = -30662*h for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 19*k**3 + 4*k**2 + 17*k - 13. Let w be (-6)\/(((-1)\/1)\/(3\/3)). Let l be f(w). Let y = l + -1558. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3147 + z**2 - 444 - 4*z**2 + z**2.\nAnswer: -2*z**2 - 3591","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 103, -93, -381, -791, -1353?\nAnswer: -2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -a1?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/6)\/((2\/((-16)\/(-60)))\/(-6))\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + x**3 - x**3)*(10*x**2 + 92*x**2 + 59*x**2).\nAnswer: -161*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 28. Suppose 2*z = 5*f - q, -f - 23 = -4*f + z. Solve -3*s + 0 = -f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 35*x - 27 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/7))\/(f*f**(-6)*f))\/((f**(-7)*f)\/f)**22 assuming f is positive.\nAnswer: f**(1111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3453, 3454, 3455, 3456, 3457?\n\"Answer: q + 3452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)*o*o*o)**43)**(-39)\/((o**0)**19*(o**(-1))**(-2\/11)) assuming o is positive.\nAnswer: o**(-67641\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9896 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1020 - 1019.9. Let u = 83\/5 - 82\/5. What is the second biggest value in z, 1.6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g - 2. Let b be q(1). Let o be (214 - 2)*625*b. What is o rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*m + 51, -5*n + 24 = 5*m - 61. Calculate the remainder when ((-8)\/28)\/((-3)\/483) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + d + 7. Let f = -564 + 564. Give w(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*w - 2*g - 8, 0 = 3*g. Suppose -4*v + 4*o + 36 = 0, 0 = w*v - 4*o + 3*o - 27. List the prime factors of (-8)\/(-12) - (-110)\/v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -827 - -1251.6. Let q = -429 + p. Let m = 0.08 - -0.32. Which is the biggest value? (a) q (b) 2\/17 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*z = 4*z + 20, 3*h + 3*z = 9. Suppose 5*d - 7 = 2*d + i, -2*i - 10 = -2*d. Let q = d + 1. Solve 0 = -q*j - h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 598*u**2 - 799*u + 20. Let g(j) = -1791*j**2 + 2397*j - 55. Let i(n) = 11*a(n) + 4*g(n). What is the second derivative of i(r) wrt r?\nAnswer: -1172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -43. Solve v + r = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 3\/(324\/(-70)))*(-165)\/(-110) + -8.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 12 = 2*z. Let f be (z + 0)*64\/24. Solve 2*c + f = -0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12798303 divided by -4.\nAnswer: 12798303\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, r: 6, n: 4}. What is prob of picking 1 r and 1 z?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1322\/9*-21 - 12)*1*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + n + 20. Let t be (-30)\/n - 6\/4. Let g = 6 - t. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*a + 17. Solve 1 + a = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*n - 4794 = 4601 - 305. What is the greatest common factor of n and 324?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 12 = 0, -3*p + 0 - 3 = -2*a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 762 + -445. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3, g + 4*o = -3*g + 4. Suppose g*b = b - 5*f + 20, b + 3*f = 12. Suppose u - 3*m = -u + 308, b = -4*u + m + 626. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 4*j**2 + 3*j + 4. Let p = -22 + 13. Let k = 5 + p. What is c(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*r - 139*r + 420*r - 135*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y = -244 + 4018. Let n(w) = 19*w**2 - 5*w - 6. Let x be n(-4). Suppose 3*b + y = x. Is b a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94.5 - -96.5. What is the third biggest value in 2\/11, -0.25, 1, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 10*h - 38. Determine a(14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1395780 (base 10) in base 8?\nAnswer: -5246104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 16*x**4\/5 - 1888*x**3\/15 - 3598*x**2\/5 - 6468*x\/5 - 2053. Factor i(k).\nAnswer: 4*(k - 33)*(4*k + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -7*h**5\/570 + 2753*h**4\/228 - 262*h**3\/19 - 67*h**2 + h - 4. What is w in k(w) = 0?\nAnswer: 2\/7, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*((0 + (-1 + sqrt(567) + sqrt(567))**2 - sqrt(567)) + sqrt(567)).\nAnswer: -360*sqrt(7) + 22690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1527, -3307, -5087, -6867, -8647, -10427?\n\"Answer: -1780*i + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66*40\/(-150) - 6)\/(117\/(-90)) - -2.\nAnswer: -90\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 6:21 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/4 - -4) + (-4)\/(-40). Sort -1, 4, z, -2\/7 in decreasing order.\nAnswer: 4, z, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(280*q**4 - 10809*q**3 + 10809*q**3)*(10*q - 2*q + 1 + 16*q).\nAnswer: 6720*q**5 + 280*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -2, -3, 21 in ascending order.\nAnswer: -4, -3, -2, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -625.1145 - -0.1145. Let x = a - -625.04. What is the closest to 1 in x, 1, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7564, 1, -3, -5, 4, 3369 in increasing order.\nAnswer: -5, -3, 1, 4, 3369, 7564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -211\/4. Is -1 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 867 or 1733\/2?\nAnswer: 1733\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 5*x + 3*g - 157, 716*x - 358*x = 357*x - 3*g + 135 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 16 = 3*a, 0 = 3*x - a - 3*a + 24. Let i(w) = -3*w - 12. Let z be i(x). Suppose -5*m = 10, -4*u - 4 + z = 4*m. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, y: 2, x: 2, r: 3, d: 5}. Give prob of sequence xd.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 11 + 64. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, e: 1, s: 2, a: 1, t: 1, d: 2}. Give prob of picking 2 d and 1 s.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 59435 (b) 0 (c) 1 (d) 2 (e) 28 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 812820.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(1 + -8))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 + 7500*k**2 - 2260332*k + 4490640 = 0. Calculate k.\nAnswer: -2772, 2, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jij when three letters picked without replacement from jjjjijjjijjijjjijjj.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -207 + 204. Is (-15)\/w + (0 - -303) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from qqqqqqmmqqmq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.6 - 0.1. Let p = 20 - f. Let k = -16.50413 + p. Round k to 4 dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43455 (base 15) to base 9.\nAnswer: -355008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, k: 3, y: 4}. What is prob of sequence yky?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -v + 24, -5 = v + s - 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2107\/8 + -263. Which is the closest to -0.1? (a) -4 (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**8\/840 - f**4\/8 - 5*f**3\/6 + 3*f. Let z(p) be the second derivative of k(p). What is the first derivative of z(a) wrt a?\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16122 (base 10) in base 11?\nAnswer: -11127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**3\/6 + a**2 + 4*a + 4. Calculate i(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200451 (base 6) to base 13.\nAnswer: -22519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 + 449\/5. Let j = -0.04713 - 0.05287. Which is the closest to j? (a) k (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -301434*c**2 - 212*c - 118796506.\nAnswer: -602868*c - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.249502 to three dps.\nAnswer: 1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3985, 8338, 12691, 17044?\nAnswer: 21397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3580*q**3 + 346359*q**2 - 346359*q**2)*(5*q - 1 - 4*q + 0*q).\nAnswer: 3580*q**4 - 3580*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 6*a + 11. Let n be f(-2). Solve -b - 12 = n*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/7? (a) -1\/2 (b) -1 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -219.247 rounded to zero dps?\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 - 1 + 1 + 8*z**5 + z**4 + 0*z**4 - z**5 - 93*z**5 + 200*z**5 - 92*z**5 + (1 - 1 + z**5)*(0 - 2 + 1).\nAnswer: 22*z**5 + z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 133*r + 60. Calculate x(-66).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6 - (474\/(-1264))\/(36\/(-4864))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -25*(-3306)\/558250 + -2*(-3)\/(-66)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156 + -156. Suppose 8*p - 23 = 1. Solve x*w - 2 = y - 3*w, p = 4*y - w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -34 (b) 4 (c) 1\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 286080388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = -4*b - 5*w, 0 = -2*w - 8. Suppose b + 1 = -h. Let j(m) = 2*m**2 + 7*m + 3. Calculate the remainder when 53 is divided by j(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -846*d**4 - d**3*w - d**2*w**2 - d*w - 93*w**2 wrt d.\nAnswer: -10152*d**2 - 6*d*w - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237 is divided by 155.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 264 + -205. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -654228 divided by 36?\nAnswer: -18173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 44*k**3 + 4*k**2 - 42*k - 98. Give n(-3).\nAnswer: -1124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7835504 divided by 115228?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011911 rounded to four decimal places?\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4427 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.831054 to 2 decimal places.\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/9 + 228\/(-135)*-5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291 + 4*o + 291 - 5*o - 6*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -2*c**5\/45 + c**4\/6 + 10*c**3\/27 - c**2\/3 - 8*c\/9 + 43. Determine w so that s(w) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38368*j**3 + 9468*j**2 wrt j?\nAnswer: -230208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667109695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*i + 72 = 0, -4*i = x - 16 - 27. Is 23 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*w**3\/3 + 4276*w**2\/3 + 51376*w.\nAnswer: -2*w*(w - 338)*(7*w + 228)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 115337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*h = -146, 4*k - 6*k = -4*h - 236. Let f = 47 - 33. Calculate the greatest common divisor of f and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-15)\/120*4\/(-17)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/10 and 375\/(-36) - 8\/(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 3\/7, -0.2, -1 in descending order.\nAnswer: 8, 1, 3\/7, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, z: 3, b: 4}. Give prob of sequence zh.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2)\/((p**(-2\/5)\/p)\/p))\/(((p*p\/(p\/p**1)*p)\/p*p)\/(p\/(p**0\/p*p))))\/((p*p**(-2\/3)*p*(p\/(p*p**1))\/p)\/(p**5*p**(1\/4))) assuming p is positive.\nAnswer: p**(349\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3 + 6*f**2 - 398*f + 393*f + 9 + 17*f**2 - 3*f**3 + 30*f**2 wrt f?\nAnswer: -6*f + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - l - 4. Let c(u) be the third derivative of -u - 9*u**2 + 1\/6*u**3 + 0. What is 4*c(a) + k(a)?\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 11:44 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -18*s - 2. Determine i(8).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + sqrt(968)*2).\nAnswer: -44*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4, 0.3, 219, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 6, 1, -540, 2 in decreasing order.\nAnswer: 8, 6, 2, 1, -540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2133 - 258. What is the greatest common factor of 250 and d?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -21*z + 252. Calculate the greatest common factor of z and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/3432 and 50\/12441?\nAnswer: 99528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 - 1.8. Which is the nearest to 2\/3? (a) 0.2 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -10) + -4 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 v when three letters picked without replacement from vwvwvbvvvoboboo?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 16 = 3*c + 1, 0 = -c + 10*f + 92. Factor c - 30\/7*a + 18\/7*a**2 - 2\/7*a**3.\nAnswer: -2*(a - 7)*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4113641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*c = -8, -6 = 4*b - 9*b - 3*c. Let h = 1 + b. Let x = -30 - -35. Calculate the highest common factor of h and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14683021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-105)*(-6)\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -338 and 2.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88426)\/(-3458) - (-6)\/14.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/878835 and 1\/257220.\nAnswer: 10546020","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22612)\/18 - ((-264)\/(-27) - 10). Let d = k + -1514. Round d to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93 or 0.1?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 496346*u*v**2 - 2*u*v*y**2 - u*v*y + 2*u*y - v**2*y**2 + v*y**2 - 30*v*y - 1835*v wrt v.\nAnswer: 992692*u - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2060 + -3030258\/1471. Let n = x + -95621\/4413. Find the common denominator of n and 15\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -26*l**2. Let h(a) be the first derivative of -17 + 1\/12*a**4 + 0*a + 0*a**3 + 3*a**2. Let p(q) be the second derivative of h(q). Determine x(p(m)).\nAnswer: -104*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68976650?\nAnswer: 2, 5, 17, 19, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*l + 4*w + 21, 0 = -4*l - w + 82. What is the closest to -1\/3 in -2, 2, l, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114741188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076280555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*s**2 - 113*s**2 - s + 3*s**4 + 58*s**2 + s**3 + 1 to w*s + i*s**4 + p*s**2 + l*s**3 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 98566, 394300, 887190, 1577236, 2464438?\n\"Answer: 98578*t**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159\/9688 + 80669\/1831032. What is the common denominator of v and 145\/162?\nAnswer: 7938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*k**3\/5 + 183*k**2\/5 + 357*k\/5 + 78\/5.\nAnswer: 3*(k + 2)*(k + 13)*(4*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 2 + 8162*d - 8033*d)*(4 + 2*d - 4).\nAnswer: 258*d**2 - 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 266.3 + -322. Let m = r - -52.7. Which is the closest to 1\/2? (a) 2\/15 (b) -1 (c) -7 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -130*2*(-1)\/(-6)*(231 + -234). Solve 142*m + 72 = l*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2 - 5*j - 5. Let l = 16 + -20. Let y be v(l). Calculate the common denominator of ((-78)\/8)\/(y\/154) and 15\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 2*m - 563. Let v be i(0). Let w = v - -383. What is w rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from {q: 3, m: 4, h: 4, i: 7}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(3\/(-84)*12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -0.04, 19 in decreasing order.\nAnswer: 19, 4, -0.04, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(15\/4))**28*p**(-2\/13)\/((p*p**(-4\/21))\/p) assuming p is positive.\nAnswer: p**(28675\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a + 6. Let t(f) = -1. What is -i(c) - 5*t(c)?\nAnswer: 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 7 - 1)*(-77*b + 7*b - 4*b) in the form v*b + s and give v.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 3*r**2 - 2*r**2)*(-3*r**2 + 0*r**2 + 2*r**2)*((-r - 2*r + 0*r)*(-27 - 19 - 18) - 2*r + 5*r + 5*r).\nAnswer: 400*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 578482392 divided by 2051356.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shsgwrs. What is prob of sequence hs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 258733.6m?\nAnswer: 258733600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-16)\/(-48) - (-156)\/(-80) and 83\/105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let i(u) = -2*u**3 + 4*u**2 - 2*u + 2. Give -i(v) + 2*m(v).\nAnswer: 2*v**3 - 4*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by 27.\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7261169 to the nearest integer?\nAnswer: 2695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence balb when four letters picked without replacement from {g: 1, v: 2, l: 1, x: 4, b: 3, a: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -1, 1\/48079?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*a - 4, 0*a = 3*w + 4*a - 34. Suppose -b - w = -3*b. Solve -b*f + 10 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 3*h, 0 = -4*o + 5*h - 7. Suppose -5*t - 3*w + 8*w = -20, -4*t - 3*w + 9 = 0. Solve 0*x - 9 = -o*x + 5*s, 0 = 4*x - t*s - 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6171 = 10*u + 1331. Let x = -475 + u. What is the smallest common multiple of 186 and x?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 16, 3, 1, -3, -12203 in increasing order.\nAnswer: -12203, -5, -3, -2, 1, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 742, 1482, 2222, 2962, 3702, 4442?\n\"Answer: 740*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*j, 19*j - 15*j = -6*k - 64. What is the biggest value in j, -0.1, 58\/3, -1, 1\/3?\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001115 rounded to 7 decimal places?\nAnswer: -0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89209713 to the nearest integer?\nAnswer: 9445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 3*z**2 + z - 12. Suppose 2*a = 4*a + 10. Does 8 divide j(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81316990219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-2025)\/10)*5\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 4.94. Which is the second smallest value? (a) 0.1 (b) w (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z. Suppose 0 = 2*l + 2*l - 3*n + 15, 5*n = -4*l + 25. Let h(r) = -r + l - 3 + 3. Determine d(h(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from ovkfvkzs?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7635 - -7632.4. What is the biggest value in 2\/7, 1\/9, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 = -3*o + p + 4313, 3*p = 5*o - 6485. What is o rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 7. Suppose 4*w = -2*c + 10 + 2, -3*c = -2*w + 22. Let o be h(w). What is the units digit of o\/(-3) - (-3)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*o**2 + 2*o**3 - o + 55*o**2 - 37*o**2 in the form j*o**2 + y + p*o**3 + n*o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1599 - 2366 = -5*v. Suppose -9*h + 2899 = v. Let o = h + -6. Is o a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10 (b) -1\/6 (c) -103\/2 (d) -4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 254444541 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2018 * 1671.\nAnswer: -337.2078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1. Let b(p) = -96*p**2 - 2*p - 17. Give -b(d) + 5*g(d).\nAnswer: 96*d**2 + 2*d + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 951.2413 centuries to years.\nAnswer: 95124.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109 + -108.59. Are -0.1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4491 + 4481. Let l(j) = -2*j + 21. Let s(n) = 6*n - 64. Give h*l(m) - 3*s(m).\nAnswer: 2*m - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - r**2 - 1)*(3*r - 2*r + r) + 27*r**2 - r**3 + 14*r**2 - 27*r**2 + (-1 + 1 - r)*(2*r**2 + 3*r**2 - 4*r**2).\nAnswer: -4*r**3 + 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/3 + 0 - -1. Let i = z - -4. Let -i*g + 8*g**2 - 10\/3*g**3 + 4\/3 = 0. Calculate g.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34094846 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12077\/7 + -1725. Sort u, 1\/4, -1, -12 in decreasing order.\nAnswer: u, 1\/4, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1079.07 + 1078.67. Let x = -0.1 + 1.1. What is the closest to x in d, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200554+303\nAnswer: 200857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3804 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102743 + -102395.524. Let d = g + -348. Round d to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 2*h - 2. Let g(d) = -4*d**2 + 4*d - 5. Let u(x) = 95*x - 1529. Let y be u(16). Calculate y*b(n) + 4*g(n).\nAnswer: 2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 - -124289?\nAnswer: 124251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z - 3. Let n(l) = 28*l + 26. Let o(c) = 6*n(c) + 52*q(c). Let b(u) = 2*u. Give o(b(v)).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -173123795 and -173123794 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3.5. Let o = 9 - 10. Let b = o - 4. What is the third smallest value in n, b, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + 6 + -10 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s. Let n(m) = 7*m**2 + 4*m - 4. Let q(d) = -20*d**2 - 11*d + 11. Let t(k) = 11*n(k) + 4*q(k). Calculate t(i(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 55171 to the nearest one thousand.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2. Let y(b) = 2*b**2 + b - 10. Let p(g) = -3*g - 91. Let u be p(-30). Let s(z) = u*y(z) - q(z). What is s(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x - 7. Let o(d) = 7*d - 8. Suppose 0 = -125*s - 58*s - 162 - 204. What is s*o(m) + 3*i(m)?\nAnswer: 7*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -321 - -641\/2. Put d, 0.11, 0.4, -5 in decreasing order.\nAnswer: 0.4, 0.11, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.069 + -325.069. Sort -5\/7, v, -1.\nAnswer: v, -1, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161004 is divided by 4600.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*z + 5*z. Let k be 1788\/33 - z\/33. Let t be ((-9)\/k)\/(2\/4). What is the third biggest value in t, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/(-168)*((-18)\/(-8))\/(-3)*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h*u**2 - 17370*h*u + 1321*h - u**2 - 2041 with respect to u.\nAnswer: 8*h*u - 17370*h - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*d**(-4))\/(d**(-3)*d**(-2\/15)) assuming d is positive.\nAnswer: d**(-58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 69390670 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -1 + 412)*352\/64. What is a rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 9:37 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.83869 grams in tonnes?\nAnswer: 0.00009283869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/(-48))\/((-4)\/((-320)\/45)). Put 69, 0, 1\/5, s in decreasing order.\nAnswer: 69, s, 1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y**3 - 2*y - 20*y**3 - 191*y**2 - 52*y**2.\nAnswer: -4*y**3 - 243*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42900*d**3 + 2*d**2 - 34*d - 5.\nAnswer: 257400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 2:19 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -166 + 249. Suppose 664 - w = 3*d + 4*o, -2*o = d - 193. Suppose 193*j + 394 = d*j. What are the prime factors of j?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35516 is divided by 41.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -21472*p**2. Let r(o) = 33*o. What is f(r(k))?\nAnswer: -23383008*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 216\/(-360) - (2 + (-126)\/10). Solve 5*s - 21 = 3*f, -f + s - y + 5 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -816146 + 816212. Let x(w) = 2*w - 9. Let q be x(6). Which is the closest to 1\/2? (a) q (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6) - (-6)\/9. Suppose -2*o - 3*o + 60 = l. Let y = 21 - o. Calculate the highest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -65097 and 442699746?\nAnswer: 442764843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 3*m + 10*m**2 - 2*m.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) 4\/5 (b) 0.5 (c) -7\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 214101 (base 9) to base 14\nAnswer: 34745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264541374.\nAnswer: 2, 3, 14696743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, -2, 8, 7\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5*c - 23, 0*c = 4*u - c - 13. Let o(h) = 4*h + 2*h**2 + 10 - h**3 - 8*h**u + 0*h**2. Is 16 a factor of o(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (266\/(-3))\/(-2). Suppose 2*s + 77 = -7. Let t = s - n. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 546 and 31850.\nAnswer: 95550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 305892 and 56.\nAnswer: 4282488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5 + 180*d**4 - 843*d**3 - 79344*d**2 + 314796*d + 393120 = 0.\nAnswer: -56, -26, -1, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*2\/30*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 291548374?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 9516?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25 or -39\/1187?\nAnswer: -39\/1187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/87? (a) 0 (b) -11\/2 (c) 0.35 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14176230478 plus -4?\nAnswer: -4.14176230478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/27 less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 16, y: 2}. Give prob of sequence uy.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16132697885 minus -429?\nAnswer: -16132697456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1784)\/(1 + (-15)\/5). Suppose 0 = 10*g - 3652 + s. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4278, 4, 2, -3 in descending order.\nAnswer: 4278, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/(-11) + (-1 - -7). Suppose -p + 2*y - 953 = 0, w*p - 2*y = -y - 4774. Find the common denominator of -59\/6 and 2\/(-5) - p\/450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -427771\/6 = -71295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2)*(u\/(u*u*u\/(u\/u**(-2))))\/u)**37 assuming u is positive.\nAnswer: u**(111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*q + 87*q - 50396. What are the prime factors of q?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/7)\/t*t*(t\/(t\/t**21))\/t)**6 assuming t is positive.\nAnswer: t**(834\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(91) + -2*2*sqrt(91)))\/(sqrt(252)*-1*3)*4.\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2580 and 54420?\nAnswer: 2340060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 773514 and 1134.\nAnswer: 6961626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102.5203 - -1.4903. What is m rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2765.07542 to one dp.\nAnswer: 2765.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 4)*(-1)\/2. Suppose p = 2*z + z - 612. What is the common denominator of -20\/9 and -1 + (z\/21)\/2?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1\/2) + 79. Suppose 0 = m + j - y, -m - 5*j - 345 = -6*m. Let r = m + -63. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/108 and 0 + 2 + 5\/(2160\/(-956)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/20 + x**4\/12 + 7*x**2. Calculate the smallest common multiple of p(2) and 36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 15*d - 60. Let q = -2 + d. Factor -31*h**3 + 21*h**3 + 15*h**q - 35*h**3 + 5*h**5 + 25*h**2.\nAnswer: 5*h**2*(h - 1)**2*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, q: 4, i: 2, b: 5}. What is prob of picking 2 b, 1 q, and 1 i?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -5*h + 30 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 21) + (290 - (-108 - -290))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/1 + 162929\/8632.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -2. Let l(f) = -4*f**2 + 9. Let w(d) = -4 + 2927*d + 3*d**2 - d**2 - 1460*d - 1467*d. What is h*w(n) + 4*l(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.6894401 - -16.696. What is x rounded to 5 dps?\nAnswer: 0.00656","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2190 in -3.4, 0.7, 0.19?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n - 18 = 0. What is the derivative of 2*p - 4 - n + 5 wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 437 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21278781?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 17 - 2 = 0. What is the third smallest value in 4, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/21)\/(((-18216)\/12)\/(-33))?\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, 0.5, -11, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*t + 11. Let p(y) be the second derivative of -1\/24*y**3 - 2*y - 1\/48*y**4 + t + 1\/4*y**2. Factor p(b).\nAnswer: -(b - 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 - 9492*b**2\/5 + 11185938*b\/5 + 181413152\/5.\nAnswer: 2*(b - 2381)**2*(b + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -1\/9*y**4 - 6*y**3 + 24*y - 220\/9 + 59\/9*y**2 = 0.\nAnswer: -55, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 11:47 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-6 - (-12 + 1))) + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150651?\nAnswer: 2150651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 472928, 946379, 1419830?\n\"Answer: 473451*f - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 3*d**2 + 5*d + 1. Let p be g(4). Solve 0 = -4*m + p*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a factor of 1585173502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*c**3 + 63505*c**2 + 2*c + 518996.\nAnswer: 78*c + 127010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 - 11*f**2 + 10*f - 18. What is the lowest common multiple of 6 and x(8)?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + x - x)*(-2 + 0 + 0) - 4*x - 2*x**2 + 4*x - 13*x**2 + 18 - 18 + (10*x - 20*x + 9*x)*(0 - 2*x + 0).\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 217.3 or -0.1?\nAnswer: 217.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1471*z - 218. Is r(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2403 + -4?\nAnswer: 2377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 27, 4, -18 in descending order.\nAnswer: 27, 5, 4, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.29 + -0.11. Let u be ((96\/18)\/8)\/(1\/(-9)). Let x(m) = 5*m + 27. Let c be x(u). Put c, -5, v in decreasing order.\nAnswer: v, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*s + 1086*s - 43903 = -1060*s + 117692 for s.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 781 = 93*t + 78*t + 268. Solve -27*m = -30*m - 4*p - 5, -m - p - t = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210709 - 2*f**2 + 210709.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 12, -3*y + 6*y - 2*o = -2. Suppose -6 = -5*r - 31, y*d = -2*r. Calculate the highest common divisor of d and 100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*q**2 + 2249*q - 125.\nAnswer: (q + 125)*(18*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -22 - ((-10 - 0) + 0). Put d, -4, -3 in decreasing order.\nAnswer: -3, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -282 or -279?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (42 - 131)*218\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - 4. Let g be j(1). Let u = g + 8. Let p be (-4)\/(-5)*(-3)\/(-6). Which is the nearest to u? (a) -3 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 466 + -339. Suppose -5*x - q - 423 = 2*p, 3*x - 2*p + 330 = 0. Which is smaller: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19078 + 19073. Let l = 1 + -4. Let g = 8 - 6. Put 1, c, g, l in ascending order.\nAnswer: c, l, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -142, 2, 0.1, 3, 27, -1\/3.\nAnswer: -142, -1\/3, 0.1, 2, 3, 27, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4049 + -4056. Let a(c) = c**2 + 20*c + 78. Give a(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -979, -1419, -2151, -3175, -4491, -6099?\n\"Answer: -146*z**2 - 2*z - 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*k**4 - 2*k**3 - 87*k wrt k.\nAnswer: 1140*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1388\/6)\/2 - (15 + 480\/(-36)) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 14. Let d = i + -14. Suppose -t + d*t = 0. Solve 0 = -t*w + w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + 0)**2 + -4 + (sqrt(19) - sqrt(38)\/sqrt(2)) + (sqrt(931)*3*-4*-6)**2.\nAnswer: 4826319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-48) - ((-1314570)\/(-16))\/(-3). What is the highest common divisor of 153 and r?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 - -64.3. Let h = -27.7 + 29. Let y = h - b. What is the third smallest value in y, -3, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**7\/14 + x**6\/10 - 3*x**5\/4 + 3*x**4\/4 + 57*x - 7. Solve s(i) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15805, 31745, 47819, 64021, 80345, 96785?\nAnswer: 113335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -4*d - 47, 2144*d - 2*f = 2145*d - 49 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 746 + -132627?\nAnswer: -131661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -3503735\nAnswer: -3503711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 4*h**2 + 4*h + 3. Determine q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32060245, -32060244, -32060243?\n\"Answer: z - 32060246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2669599?\nAnswer: 743, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -1 + 4. Let b = 3 + j. Suppose -b*t + 109 + 43 = 0. Is t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + ((-446)\/(-16))\/(74184\/12576). Let n = w - -1\/562. What is f in 4\/11*f**3 + 4\/11*f**4 - 2\/11*f**5 + 4\/11 - 2\/11*f - n*f**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 1)*(-50404 - 36054 + 15330 - 3362 - 1313)*(j - 3 + 3) in the form s*j + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 7. Let m = 18 + -8. Let x = m - 8. Sort x, f, -2.\nAnswer: f, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/140 and 74\/2451295.\nAnswer: 9805180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(68))\/sqrt(4) - (sqrt(612) - (1 + sqrt(612)) - 5*sqrt(51)\/sqrt(3))) + (sqrt(1275)*-4)\/(sqrt(27)\/(1*sqrt(9)) + sqrt(3)).\nAnswer: -6*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-3)*n))\/(n\/((n**6*n)\/n)))\/(n\/(n\/(n*n**(-5)))*n\/((n\/(n\/(n**(-3)\/n)))\/n)))**(-8) assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 197329973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -268 - -34?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**3 + 2*z**2 + 3*z - 6. Let j(v) = v**3 + v**2 - 1. Let f(s) = -c(s) + 5*j(s). Calculate f(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 7*f**2 + 6*f + 7. Let w be p(-5). Let t = w + -14. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 (base 13) in base 15?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 8 = k. Let v = -2 - k. Is 11 a factor of ((-123)\/(-2))\/3*v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23002 + 1737 = p + 2*w, -74181 = -3*p - 12*w. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1998 and 3618?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 385401172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -15*i + 51 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -418.744 take away -50?\nAnswer: -368.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 24*f**2 + 16*f - 133. Let c be i(-25). Let a be (-6)\/3 + 0 + 7. Suppose 3*y - c = 2*l + 67, -l + 252 = a*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1679 + 2590. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 103.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (21 - (8 + 6)) + -48 + 9 + -1\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m - 12. Let y be j(6). Let d = 37 - 35. Let a(c) = -5*c**2 + y*c**2 - 2*c + 3*c**d + c**2 + 2. Let b(x) = 2*x - 1. What is 2*a(w) + 3*b(w)?\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.99 + 26. What is v rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 c, and 1 y when three letters picked without replacement from pppcnpbnyypppncynb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 10*q**2 - q - 1. Determine a(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2060*r**2*v**2 - 2*r**2*v + 2*r*v**2 + 3*r - v**2 + 3 wrt r.\nAnswer: -4120*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -150736395 divided by 5?\nAnswer: -30147279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 + b**3 + 0*b**3 + (-2*b**2 + 2*b**2 + 2*b**2)*(b + 4*b - 3*b) + (-3 - 1 + 2)*(-2*b - 2*b**3 + 2*b) + 6*b**3 - 3*b**3 - b**3.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*y - 6. Let d be (2\/6)\/((-2)\/(-6)). Let v = 1 + d. Calculate the greatest common divisor of v and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, g: 2, k: 2, x: 5}. What is prob of picking 2 k and 2 o?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-7)*j**(1\/3))\/(j*j*j**1*j*j)**(-1\/7))\/((j*j*j**4*j**(1\/13))\/(j**(1\/2))**(-49)) assuming j is positive.\nAnswer: j**(-19399\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s + 1287 = 412 - 175. Solve 25 = -s*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(288)*1)**2 - (3 + -1*sqrt(288) + sqrt(288)).\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0543 - -2.5?\nAnswer: 2.4457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8393986?\nAnswer: 2, 4196993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 4\/83 (c) -0.2 (d) -1 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*(-5 + sqrt(76) + 1)**2*6.\nAnswer: -1728*sqrt(19) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -1, -17\/7 in ascending order.\nAnswer: -29, -17\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 196211.2nm?\nAnswer: 0.01962112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 73.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 + 5*x + 12. Let q(r) = 9*r**2 + 15*r + 34. Let v(j) = -11*a(j) + 4*q(j). Give v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 8 + (-7 - 899). Let w = -884 - y. What is the greatest common divisor of 48 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1574530 divided by -82870.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 62254 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2759.\nAnswer: 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 7*b**2 + 10*b - 1. Let l = 18 - 10. Let i be x(l). What is the units digit of (i\/9)\/(3\/36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n - 45 = 0. Let i(z) = 0*z + 0*z + z + 17*z**3. Let d be i(1). Calculate the highest common divisor of d and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpnbbiigbp. Give prob of picking 1 n and 1 p.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -34.14.\nAnswer: -204.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 - 3*u**3 - 13 + 2*u**3 as y*u + c*u**2 + g*u**3 + n and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 15 + 6 - 1 - 28 + 2 + 9. Suppose 6 = -2*n + b - 3*b, 3*n - 4*b - 12 = 0. Let x(t) = -t**2 + 0 + 5 + n. Give -5*k(j) + 3*x(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-97*3)\/((-27)\/(4 - -5)) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 153 = -16*c. What is the remainder when c is divided by 33 - 3 - (5 + -3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121130 (base 4) to base 9.\nAnswer: -7760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18513619 is divided by 27266.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*a + 5*a - 18*a + (-4 + 2 + 4)*(-2*a + 0 + 0) - 4*a - a + 4*a)*(-6*a + 0*a + 3*a + (-4*a + 5*a - 2*a)*(-3 - 4 + 5)).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = h. Suppose h*c - 20 = -4*j + 6, 3*j = -3*c + 18. Find the second derivative of c + 8*i**4 + 4*i + 2*i - 2 wrt i.\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75530 divided by 65.\nAnswer: -1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102112120 - -1?\nAnswer: -102112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcca when four letters picked without replacement from {l: 2, p: 4, c: 2, o: 6, i: 2, a: 4}?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 904168827.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -20*d**3 - d**2 + 3*d. Let b(k) = -39*k**3 - 2*k**2 + 5*k. Let t(i) = 1100*i + 4405. Let a be t(-4). Determine a*c(u) - 3*b(u).\nAnswer: 17*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 311.3878 or 2.7?\nAnswer: 311.3878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7758371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8550)\/1425 + 1\/(1\/(-10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.7 (b) 0 (c) -0.0448 (d) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -12 - (-26 + 18)) + 0 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-10\/13))\/(u\/(u**(-11)\/u)) assuming u is positive.\nAnswer: u**(-146\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = 2*w - 8, 3*v + 19 = 2*w. Suppose 2*j + 4 = 3*d, 0 = -d - 0*j + w*j. What is the second derivative of -2*p**2 - 2*p**d + 0*p**2 - p wrt p?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1417494 - -1417495.499994. Let y = c + -1.5. Round y to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4334 + 4353. Solve n = -q + 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -1148106 in increasing order.\nAnswer: -1148106, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4321, -4315, -4305, -4291?\nAnswer: -4273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -0.1, 0.3, -11532, 0.06, -0.2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92*q**4 + q**3 + 4*q**2 + 16.\nAnswer: -2208*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**5\/20 + 5*a**4\/3 - 5*a**3\/3 + 3*a**2 - 3*a. Let m be s(-11). Let w = m - 447. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x - 5. Calculate p(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2467279393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**5 - 1330*k**4 + 98190*k**3 - 1266100*k**2 + 978125*k + 2343750 = 0.\nAnswer: -1, 2, 15, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63977971?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 132\/(-30) + (-2)\/(-5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 127, 5, 12 in ascending order.\nAnswer: -2, 0, 5, 12, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-24)\/9 + -8 + -8 + 15. Sort k, -4\/3, 0 in decreasing order.\nAnswer: 0, -4\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 22*r + 28. Let z be q(-23). Suppose -3*x - 2*m = -3*m - 56, z*m = 20. Solve o + x = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/sqrt(180) + 3)**2.\nAnswer: sqrt(19) + 343\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 621*u - 2163 wrt u.\nAnswer: 621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**3\/7 - 63387*m**2 + 7100112*m\/7 = 0.\nAnswer: -147919, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, n: 3, t: 1, g: 6}. What is prob of sequence jn?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 + -6 - -22) + -22 + (-1 - 10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1 + l + 3*l + 3*l**2 - 3*l**2 - 2*l**2 - 6*l. Let z(n) = n**3 + 5*n**2 + 5*n + 5. Let q be z(-4). Give g(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22699, -22706, -22713?\n\"Answer: -7*p - 22692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13856 is divided by 1075?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152, 288, 410, 512, 588, 632?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**7\/1050 + 11*s**6\/120 + 77*s**5\/100 + 293*s**4\/120 + 59*s**3\/15 + 607*s**2. Suppose k(o) = 0. What is o?\nAnswer: -2, -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 27 = -25. Suppose 5*v - 3*a = -33, -3*v - f*a - 12 = 4. Suppose 5*j + 13 = -12. Which is bigger: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81155.156 times 0.5\nAnswer: 40577.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 + 16 = 5*i + 4*p, -3*p + 141 = 4*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/15 - 2\/10. Is 10 + 60 - (5 + a) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 735169\/56580 + -1576\/123. What is the common denominator of z and -101\/70?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (850\/(-75))\/((-8)\/(-12))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -12544\nAnswer: -6272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154039.44 months to years.\nAnswer: 12836.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, k: 2, w: 4, y: 1}. Give prob of picking 2 k and 1 y.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/14 - -20\/7. Let c = -500\/3 + 165. What is the second biggest value in c, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -287\/585 - -3\/65. Which is the closest to -1? (a) g (b) 2\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2514, -4997, -7442, -9843, -12194, -14489, -16722, -18887?\n\"Answer: p**3 + 13*p**2 - 2529*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063 a factor of 740844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-7) - 24\/14. Let d(w) = -3*w**3 - 17. Let b(y) = -y**3 - 4. What is q*d(v) + 9*b(v)?\nAnswer: -3*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.5.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1362333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23918 divided by 4?\nAnswer: -11959\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(192) + -4 + sqrt(192))**2 + 4 + (3*sqrt(192))**2 + (-5 + -3*sqrt(192))**2)*1*1.\nAnswer: 432*sqrt(3) + 1931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -246.27 + 246.67. What is the fourth biggest value in -25\/49, r, 3\/5, 1, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 0*q - 3*q)*(-5*q**2 - q**2 + q**2) + 4*q**3 - 3*q**3 - 2*q**3.\nAnswer: 34*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 24*d = -138 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-16))\/((-531)\/2832)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1602841 + -159.52159.\nAnswer: 1602681.47841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 0.2, -292\/1003, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 75, 223, 513, 993, 1711, 2715?\nAnswer: 4053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6484271160086 take away 4?\nAnswer: 6484271160082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15340 - 0?\nAnswer: -15340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {o: 1, y: 7, d: 2, q: 8}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2 - 69*v - 66 = 0. Calculate v.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 869 + -869. Let t(k) be the first derivative of u*k + k**2 + 9 + 0*k**4 + 9\/5*k**5 + 0*k**3. Find the second derivative of t(z) wrt z.\nAnswer: 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*o. Calculate the greatest common factor of o and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 13 - 34*a**2 - 11.\nAnswer: -34*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 3*n. Suppose 43 - 15 = 4*g. Suppose -g*w - 20 = -11*w. What is the closest to 1\/4 in 2, n, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1775\/(-625) + 2)*-35)\/(2 + 14\/(-10))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/12 and 81\/56212076.\nAnswer: 168636228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6689 is divided by 82.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70026.14m to nanometers.\nAnswer: 70026140000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122749 divided by -7.\nAnswer: 122749\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4417 + 66253\/15. Let k = -1 + -4. What is the third biggest value in k, -2.5, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-5))\/(313\/9390). Which is the third biggest value? (a) p (b) 269 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 193751142*d**5 + 2*d + 78423418 wrt d.\nAnswer: 3875022840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/9648 and 133\/144?\nAnswer: 9648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 - 9*u\/5 + 2.\nAnswer: -(u - 1)*(u + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 9 = -u - 22, 39 = -u + 5*c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -x - 4*m, -5*x - 3*m - 35 = -24. Solve -4\/3*v**3 + 32\/3*v + 4\/3*v**x - 16 = 0 for v.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/60 - 6*h**2. Let x(b) = -12*b**2. Determine r(x(u)).\nAnswer: 144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**6\/30 - m**3\/6 - m**2. Suppose 4*u = -2*d - 2, 3*d + d + 17 = 5*u. What is x(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 45. Suppose -r = a*c - 21, 0 = -5*r + 2*r + 2*c - 5. Is (-3585)\/(-20) - (r - 6\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*h + 6 = h, 0 = 4*k + 2*h + 12. Let a be (3 + -3 + k)*-2. Find l such that 2\/5*l + 0 + 0*l**3 - 4\/5*l**a + 4\/5*l**2 - 2\/5*l**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**0*(v*v**10*v)\/v assuming v is positive.\nAnswer: v**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 24. Let r(t) = t**3 - 9*t**2 + 7*t + 6. Let b be r(d). Let s(n) = 3*n**2 - n - 2. Calculate the lowest common multiple of 4 and s(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + -1 - 6)*4\/4. What is the hundreds digit of (-3 - k) + -1 - (-13635)\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqrwlyoooyl. Give prob of sequence yr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125943 * -0.04.\nAnswer: -5037.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rihl when four letters picked without replacement from {w: 1, i: 1, l: 1, r: 1, z: 2, h: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -4) + (-4 - (-10 - -7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 2:31 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*p + 13*p - 9*p)*(81 + 56*p - 81).\nAnswer: -1176*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 178608432, 178608435, 178608438, 178608441, 178608444, 178608447?\n\"Answer: 3*q + 178608429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000898899 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-81)\/(-36) - 8) + 6. Factor 0 - 1\/4*x**2 + 1\/4*x**4 - 1\/4*x + c*x**3.\nAnswer: x*(x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, h: 1, d: 4}. Give prob of sequence hdd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 6*j + 2. Let t(k) = -4*k**2 - 25*k - 9. Let z(u) = 9*n(u) + 2*t(u). Let w be z(-4). Let d = w - 0. Solve 0 = a - d*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/1876 - -2019\/268268. Calculate the common denominator of 56\/39 and d.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -62, -135, -226, -329, -438?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 - 27*k**2 - 69*k - 49. Let u(d) = -27*d**2 - 3*d**3 - 60*d - 42*d - 48 + 33*d. Let n(l) = 3*a(l) - 4*u(l). Factor n(c).\nAnswer: 3*(c + 1)*(c + 3)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1331.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p**4\/5 - 651*p**3\/5 - 6699*p**2\/5 - 3186*p\/5 = 0. Calculate p.\nAnswer: -9, -1\/2, 0, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5417 divide 619475426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 11*u + 40856 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {z: 5, c: 3, b: 4}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 40*d**2 - 157*d - 759. Determine w(-37).\nAnswer: 943","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -2315, -116 in descending order.\nAnswer: 9, 5, -116, -2315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - 3*x**2 - x**2 + (-7 + 3 + 3)*(-2*x + 3*x + x)*(2*x - 1 - 4 + 2) + (-3*x**2 + 4*x**2 + 2*x**2)*(0 + 0 - 1) + 2*x**2 - 3*x**2 - x**2.\nAnswer: -12*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (0 - (1 + -7)) + -16 + 16\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -507 - -504. What is the remainder when 56 is divided by ((-4)\/(-2) + 2)*(l - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-404)\/(-6)*(-435)\/(-290) + 1\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 150 and 7.966?\nAnswer: 1194.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**2 - 49*l**2 + 16*l**2 + 16*l**2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 305 and 2089860.\nAnswer: 2089860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.42088818 to 3 decimal places.\nAnswer: 0.421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2834, -5163, -7492, -9821?\n\"Answer: -2329*c - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -209.8 * -21996.\nAnswer: 4614760.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypy when three letters picked without replacement from {z: 2, y: 3, e: 8, p: 3}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*1 - 11136\/(-5220)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 38 = -4*k, 0 = -3*f + 143*k - 148*k + 49 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1999480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -675*b + 7202. Calculate f(11).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 57*s**3 - s**2 + 35*s + 78. Calculate l(-2).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 71*w + 44. Let o be d(-35). Suppose -6233 = -o*h - 14*h. What are the prime factors of h?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + ((10\/(-16))\/5*-73 - 6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2 + 1) + -2 - -1. Let u(t) = -8*t - 7. Let m be u(r). Find the third derivative of m*f**3 + 8*f**2 - 6*f**2 - f**2 wrt f.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390006.4 days in minutes?\nAnswer: 561609216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = s + 3*s. Suppose s*p + 0*p - 44 = 0. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f - 5 = -16*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -3*f**2 + 0 - 25\/24*f**6 + 0*f - 5\/2*f**4 - 5\/2*f**5 - 4\/3*f**3. Factor d(v).\nAnswer: -(5*v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 29947567?\nAnswer: 29947570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from ciicciiiiiiiiiii.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 504 = -7*r + 2*g, -1266 = 5*r - 2*g. Let p = -137 - r. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*l - 9*l**4 + 356*l**2 - 14*l - 382*l**2)*(-19 + 19 + 14*l).\nAnswer: -126*l**5 - 364*l**3 - 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*f + 119*f + 135*f - 519*f + 138*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345395*a = 345367*a + 448 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13.931416 and -0.3?\nAnswer: 13.631416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/11))**(8\/11) assuming p is positive.\nAnswer: p**(-16\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 70.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 2\/1007 (b) -9 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(0*b + 0*b - 5*b)*(-10 + 21 - 17)*(-5 - 2 - 4 - 6) to r*b + a and give r.\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r + 20. Let l be u(-9). Suppose -12 = -l*w + 8*w. Is (w + 0)\/((-14)\/27923) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25544593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33\/(-22) + (-189)\/(-2). Suppose -3*b = n - 16 - j, -5*n = -4*b + 139. Let o be ((-24)\/b)\/((-1)\/6). Solve 6 = 2*f - o*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8972*f - 107668. Give c(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/3*6\/(-9). What is the derivative of -k - 2*a**2 + 1 + 5 - 1 wrt a?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148*t**3 - 89*t**3 - 3 + t + 238*t**3 - 19*t**2 - 6*t**3 + 3*t**3 - 6*t**3 + (-2*t**2 - 2*t**2 + 2*t**2)*(-t + 2 - 2).\nAnswer: -6*t**3 - 19*t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 + 137. Let h = d - 43.99998735. Round h to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6685 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 8)*(-4*i + 4*i + 3*i**3)*(-13*i + 59*i**2 + 32*i - 20*i).\nAnswer: -1770*i**5 + 30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2 - 20545*f + 156381?\nAnswer: 4*f - 20545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 234.43 to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 2, e: 2, w: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6035*f + 47. What is the units digit of l(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3\/5 + 9288*r**2\/5 - 375552*r\/5 + 2408448\/5 = 0. Calculate r.\nAnswer: -3136, 8, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16620\/90*(966\/(-4))\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-65)\/50*3 - (-1)\/(5\/20). Factor -t*m**3 + 0 + 1\/10*m + 0*m**2.\nAnswer: -m*(m - 1)*(m + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53577.4 millennia?\nAnswer: 53577400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-6))\/(6\/18). Let x(u) = u**2 - 5*u - 17. Let y be x(8). Suppose -z*r + y*g = 2*g - 26, -r + 4*g + 13 = 0. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkv when three letters picked without replacement from vqmkpkmmtqtt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82241*k**4 + 3*k**3 + 81588*k**2 - 4*k.\nAnswer: 1973784*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 464\/(-72)*1017\/(-226).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**3\/4 - 171*r**2\/4 + 8775*r\/4 - 118125\/4 = 0.\nAnswer: 21, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3835.04971 + -3681.0768. Let t = -5.98381 + q. Let n = t + -148. Round n to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**5*q**(7\/10)\/q assuming q is positive.\nAnswer: q**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 8\/(-28))\/(2\/(-56)). Suppose 3*f - 3*z - b = 2*z, 0 = 2*f - z - 10. Calculate the remainder when 56 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 258 + 247. Suppose 5*b + d = -k, -d + 515 = -4*b - b. Let h be (-2)\/4*b\/17. Solve -h*y = -2*o - 23, -y + 30 = -5*o + y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = -a - 2*f, 34 = 2*a - 2*f. Let u = -20 - -23. Find the third derivative of 0*l**2 + a*l**2 - 13*l**u + 9*l**3 wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233520 divided by -33360.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56) + sqrt(504))\/sqrt(7) + sqrt(8))\/(sqrt(4) - (-3*sqrt(12)\/sqrt(3) - sqrt(4))))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 0. Let q be (18\/k)\/((-6)\/20). Let z = -109\/9 - q. Which is the second smallest value? (a) 4 (b) -1\/6 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 7) to base 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4 - 6699*p**3\/5 + 9402*p**2\/5 - 2688*p\/5 = 0. What is p?\nAnswer: -448, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*2\/4 + 68. Suppose 0 = -1406*s + 1390*s + 816. What is the highest common factor of m and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 35217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/c**(-15\/2)*c)))\/((c*c\/(c*c*c**6\/c)*c*c)\/c) assuming c is positive.\nAnswer: c**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9.213245 and 0.08.\nAnswer: 9.293245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(1 + -46))\/(6\/20). Let y = 24402 - 146753\/6. Let a = 57 + y. What is the smallest value in 4, a, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-20))\/((-1)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 4*q + 1. Suppose -3*g + 0*g + 24 = -4*j, -5 = -5*g - 5*j. Let x be y(g). List the prime factors of (-7)\/(x - (-1 + 3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 338, 468, 602, 740, 882?\n\"Answer: 2*o**2 + 124*o + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-147)\/(-28))\/((-6)\/(-112)). Suppose -4*g = l + 62. What is the tens digit of 288\/(-30)*g\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(153\/(-27) - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6565510 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20121 - 11422?\nAnswer: -32043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*s - 51. Let x = s + 5. Let l(m) = m. Let q be l(5). Solve 0 = q*u - x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.9 * -0.4\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 1.74 (b) -14 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16965.94 - 16966. What is the nearest to -0.1 in 9, -0.5, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 59*w + 616. Calculate x(-8).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -63. Suppose -y - 67 + 70 = r. Suppose y*k + 61 = 67. What is the highest common factor of 16 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 8*y**2 - 16*y - 30. Let o be x(10). Solve 0 = -h + 5*h + 5*f - o, -4*h = -5*f - 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(3 - (2 - -3)))\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16318 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11745 - -9176. Is w greater than or equal to -2567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**3\/11 - 52*h**2\/11 - 98*h\/11 - 48\/11 = 0.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0468933 milligrams to nanograms.\nAnswer: 46893.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 264, 255, 232, 189, 120?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 100?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4 - 1074\/(-24). Suppose 0 + c = f. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q + 7. What is c(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 + 49 + 3 + 281)*(14 - 4*m - 14) in the form o + v*m and give v.\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 4\/53, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 0.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105316.\nAnswer: 2, 113, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -4*n - z, 0*z = -4*n - 5*z + 83. Suppose -5*y = 3*w - 48 - 20, 0 = 5*y + 4*w - 64. What is the remainder when n is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -13*f - 4. Let l(b) = 468*b + 143. Let c(x) = 4*l(x) + 143*y(x). Let i(o) be the first derivative of -1\/3*o**3 + 0*o + 11 + 0*o**2. What is i(c(n))?\nAnswer: -169*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/200*15*2\/(-36)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50924, -50841, -50758, -50675, -50592?\nAnswer: -50509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 65, 61, 35, -13?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3787570*u**2 + 2798672*u wrt u?\nAnswer: 7575140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 7:56 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 6237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 6*i - i)*(2*i**2 + i**3 - 2*i**2) + 206*i**3 - 208*i**3 + 3*i**4 + 4*i**4 to the form p*i**3 + d*i**2 + s*i**4 + l + o*i and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -543*x + 46698. Determine v(86).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -222403\/51568 - -1\/3223. Let f be (23\/10 + -2)*-371. Let b = f + 8439\/80. Calculate the common denominator of b and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(75) + 1*sqrt(75) + sqrt(3)) - ((sqrt(3) - sqrt(144)\/sqrt(12)) + 4).\nAnswer: -4 + 12*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (2*(sqrt(2299)*1 + 0 + (0 + sqrt(2299)*2 - sqrt(2299) - sqrt(2299))))**2.\nAnswer: 9203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i - 25. Let v(l) = l**2 - 20*l + 31. Let d be v(18). Let m be u(d). Solve m = 4*z - 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/120 + r**5\/20 - r**4\/3 - 5*r**3\/3 - 7*r**2 + 6. Let n be k(-4). What is the highest common divisor of n and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwlp when four letters picked without replacement from yywyplywyppyplwyyyyp.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**2 + 7. Let p(k) = k**2. Give i(p(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 4*o - o)*(-o**3 - o**3 + 4*o**3) - o**4 + 0*o**4 + 8*o**4.\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 + 3*t**3 + 2*t**2\/3 - 16*t.\nAnswer: t*(t - 2)*(t + 3)*(t + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6 and 4\/6*(-324)\/(-32)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9321?\nAnswer: 3, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 457938139 and 673?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -377 - -426. Let r(z) = -f + 4*z**2 + 7*z + 16 + 27 - z**3. Let q(k) = -k**3 + 3*k**2 + 6*k - 5. Calculate 6*q(l) - 5*r(l).\nAnswer: -l**3 - 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -258*w**2 + 6*w + 2. Let h(j) = -513*j**2 + 14*j + 5. Determine 5*d(f) - 2*h(f).\nAnswer: -264*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3450 and 2750.\nAnswer: 189750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -168*n**2 + 137*n**2 + 239*n**2 as m*n + c + f*n**2 and give f.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-80)\/(-56)*7\/2. Solve 4*u - d = -4*y - 1, -7 = -5*y - 3*u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 5*c**2 - 2*c**2)*(-22 - 4 - 29).\nAnswer: 275*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 16 - 1 + 14 + 19 + 2*f in the form d + h*f and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220.0338 rounded to the nearest integer?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.4 - 4.62. Let j = -2.78 + u. Let i = 0.14 + -0.04. Which is the nearest to 0.3? (a) j (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 231289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*g - 5 + 5)*(-g + 0*g + 2*g) + 7*g**2 - 4*g**2 - g**2)*(g + 0*g - 3*g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 4, y: 1, c: 1, g: 1}. What is prob of sequence yg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**5 + 190853508*s**4 - 3035421792992163*s**3 - 572560530*s**2 + 9106265760683532*s - 6070843585984344 = 0.\nAnswer: -2, 1, 31808918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31724800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17062 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*k + 13*k + 3*k**2 + 5 + 3*k**3 - 2)*(15*k - 28*k - 15*k) in the form w*k**2 + n*k + a + c*k**3 + j*k**4 and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 188*q - 182*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/195 and 51\/50?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -293231 + 293205.00205. Let j = k + 26. What is j rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -1\/2*v**4 - 3*v - 3*v**3 - 13\/2*v**2 - 12. Is m(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1976 and 767752.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-4))\/(205\/(-656)). Solve -2*r + 5 = 3*k, d*r + 3*k + 6 = 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284205*o - 568403*o + 284198*o - 590*o**2.\nAnswer: -590*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1433?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4805, 0.4, 2?\nAnswer: -0.4805","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o - 209. Let v(g) = 5*g + 211. Calculate -4*k(b) - 5*v(b).\nAnswer: -b - 219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**5\/510 + 127*g**4\/204 + 42*g**3\/17 + 182*g**2. Find j, given that h(j) = 0.\nAnswer: -126, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8170*q. Let b(j) = -5*j. Determine k(b(x)).\nAnswer: 40850*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 94, 139, 192, 247, 298?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -26, -42, -58?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 = 2*j, 5*z - 10 = -4*j - 0*z. Suppose a + x = 86, j*a + 3*x = x + 424. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -24*o + 633. Suppose o = -c + 24*w - 27*w, -3*w - 12 = 0. Do -28 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuk when three letters picked without replacement from buyku.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 7*x - 5*x)*(1 - x - 1)*(-4013 + 4013 - 363*x).\nAnswer: 2178*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -0.2. Let f = 13 + -18. Let v = -6 - f. What is the smallest value in q, v, -1\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2929 - -2931.858. What is t rounded to 1 decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from lljqqqllqlqqttlte.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v - 60. Let x be z(-12). Let c be x\/1*1*(-105)\/45. Calculate the highest common divisor of c and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54249165 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1225 - 8?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -2\/7 (b) -3.4 (c) -1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-20))\/((-7)\/(-4)). Let k = 1.02 + -0.42. Let x = -2.4 - k. Which is the biggest value? (a) x (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -15*n**2 + 4*n - 4. Let v(o) = 65*o + 2213*o**2 - 2603*o**2 + 40*o - 105. Calculate 105*s(r) - 4*v(r).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-600)\/1125 - (-2)\/(-3))*2*1?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**5\/20 + 11*r**4\/16 + 11*r**3\/3 + 19*r**2\/2 + 12*r + 1929. Determine y, given that q(y) = 0.\nAnswer: -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**2*j**2*x + f**2*j + 9*f**2*x + 2*f*j*x + 3*f*x + 6*j + 2*x wrt j?\nAnswer: 2*f**2*j*x + f**2 + 2*f*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**7\/21 + 4*b**6\/15 + 3*b**5\/5 + 2*b**4\/3 + b**3\/3 - 9*b. Factor d(z).\nAnswer: 2*z*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52192 is divided by 225.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34268716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*4\/(-14)*(-2478)\/5192?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.128+36262\nAnswer: 36262.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -b - 3, 4*o + 4*b - 1312 + 1260 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5373 divide 394507152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110096235*p**4 + 2*p*q**2 - 1456*q**2 - 2135 wrt p.\nAnswer: -440384940*p**3 + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.465734 seconds in milliseconds?\nAnswer: 465.734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 12:18 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, d: 4, y: 4}. What is prob of picking 1 y, 1 d, and 1 i?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15544.1 nanometers in centimeters?\nAnswer: 0.00155441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -235*x**3 + 2*x + 15. Let o be j(-4). Let s = o + -5144. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 - 1.08. What is the second smallest value in f, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 - 111.1. What is the third biggest value in 0.1, -4, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(275)*-1 + sqrt(275)) - sqrt(275))\/(sqrt(55)\/(sqrt(99) + sqrt(11))))\/(sqrt(55)\/((sqrt(50)\/sqrt(2))\/sqrt(5))*-5).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 + 37*w**2 + 56*w + 85. Let p be q(-15). What is the greatest common factor of 164 and p?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/((-1)\/(-2)) - -218. Suppose -637 = -35*b - h. Solve 5*m + g = -15, 5*m = m - 5*g - b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6983 divided by -556\nAnswer: 6983\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-96)\/18)\/4)\/(2\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -504 by 24.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*c - 3*c + 6*c)*(-23985*c - 2 + 2 + 27444*c) in the form t + p*c + y*c**2 and give y.\nAnswer: 41508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1750.608 - 1757. Let p = b - 0.698. What is p rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.7766 to 1 dp.\nAnswer: -61.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*w + 196*w - 80*w.\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4071*g - 31478 - 613552 = -7141*g + 4045*g for g.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0595 times -4\nAnswer: 0.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 188, 35, 2, 18, -1.\nAnswer: -5, -1, 2, 18, 35, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from blblbbelleelblbkbe?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19200.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*g - 152, -4*x = 4*g - 9*g + 172. Let u = g - 13. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 7\/1355?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15429 = 5*c + 2*u - 15369, 5*c + 4*u = -50 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 36, -1, -16, 4, 3.\nAnswer: -16, -6, -1, 3, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 233896291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 18*b**2 + 5*b + 79. Calculate u(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:43 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 8*o**2 - 10*o.\nAnswer: 2*o*(o - 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42447163413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 9*i\/2 - 6.\nAnswer: 3*(i - 4)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.11 (b) 5\/3 (c) -2164694\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528 divided by 11730?\nAnswer: 764\/5865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3)*9\/(-2). Let u(g) = g**2 - 2*g - 2. Let j be u(t). Let k be (252\/(-972))\/((-2)\/9). Is k greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 19*w - 85. Let s(y) = y + 5. Let l be s(6). Let u be f(l). Solve 5*n + u = 2*k, -k + 4*n = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41230, -41232, -41234?\nAnswer: -41236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) + sqrt(12)\/(sqrt(4) + sqrt(4)*3) - sqrt(3)).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28155 is divided by 7036.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2 + 5*x - 1. Let j be s(-3). Suppose j = 3*a - 4*d, a + 2*d = 4*a - 16. Differentiate 26 + 11 - a*z**3 - 25 with respect to z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255671.6031 rounded to the nearest ten?\nAnswer: 255670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2471696 to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 74*b**3 + 72*b**2 + 35*b - 11. Let o(z) = -50*z**3 - 45*z**2 - 23*z + 7. Determine -5*f(n) - 8*o(n).\nAnswer: 30*n**3 + 9*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2 - 11192220*x - 6263289426420 = 0. Calculate x.\nAnswer: -1119222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**3 - 12*p**2 + 17*p - 38. Let f be r(5). Calculate the highest common factor of 403 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkx when four letters picked without replacement from {x: 2, k: 7, p: 7}?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**2. Let b(n) be the third derivative of n**4\/12 - 17*n**3\/2 + n**2 + 930. What is b(u(v))?\nAnswer: -10*v**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**4\/2 - 9*x - 2. Let v(g) = -2*g + 6*g - 3*g. Determine t(v(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {y: 3, g: 4, s: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bybyyebyyeyy. Give prob of picking 1 y and 2 e.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111608 is divided by 3818?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -252, 2, -5, 6, -0.024, -3?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 55*r**2 - 28*r**2 + 3*r**5 - 15*r**4 + 9*r**3 - r**4.\nAnswer: 3*r**2*(r - 3)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/5*a + 1\/5*a**3 + 2\/5*a**2 - 2\/5 = 0. What is a?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/9 - 2*h**2\/9 + 34*h\/9 - 10\/3 = 0. What is h?\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/2, -12, -1\/5, 15, 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 2 - 2 + (82 + 44 - 74)*(-2*s + 6*s - 2*s).\nAnswer: 103*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 2*l**2 + 5*l - 3. Determine n(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*z = 0. Which is the nearest to z? (a) 1\/6 (b) -5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -573*u**2 - 17*u + 8244. Let r(q) = -1147*q**2 - 32*q + 16492. Let y(b) = -11*k(b) + 6*r(b). What is the first derivative of y(n) wrt n?\nAnswer: -1158*n - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -70, 336, -3 in decreasing order.\nAnswer: 336, 49, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-2 - (-3)\/(-6)). Let m = -174 - -172. Let j be (-3 + 4)*2\/(m\/(-1)). Put g, -4, j, -3 in increasing order.\nAnswer: g, -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 2849250*c - 5698488.\nAnswer: -3*(c - 949748)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 442\/3 - 148. Which is the fourth smallest value? (a) 6 (b) 0.4 (c) 0.2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2\/5 + 31654*h\/5 = 0.\nAnswer: -31654, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8514 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17528539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 + (-3 - -15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1305 and 10889442?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6826 is divided by 1134.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612293 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: Let p(x) = x**3 + x**2 - 6*x + 5. Let s be p(-3). Suppose s*d + l - 2565 = 0, 5*d + l - 2585 = 4*l. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-1\/31)\/n*n)\/n*n*n**(-4))\/(n**0)**30 assuming n is positive.\nAnswer: n**(-63\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-31)\/16 - -2). Let j = 15 + p. Let h = 21 + j. Solve -v + h*i + 3 = 0, 5*v + 4 = i - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)*f*f\/(f*f\/(f\/f**(-50))))\/(f**(-26)*f\/f**49) assuming f is positive.\nAnswer: f**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 5, -5 in increasing order.\nAnswer: -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g - 70. Let t be (-6)\/g - (-25)\/(-91). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y - 75. Let w be v(15). What is the derivative of -w*b - 28*b + 14 + 14*b + 29 wrt b?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2960 is divided by 46?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1102 - 1102 + l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -5 (b) -8\/3 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + (1 - -3))*0\/4. Suppose d = -0*w - 5*w. Solve -2*c + 2 + 4 = w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7294*23.55\nAnswer: -171773.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -56 - 70?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 99 - 313. Let w be 2\/(-2) + g + 8. Suppose 2*m - 4*m - 5*v = -67, 5*m + v - w = 0. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/74148046 and 31\/105925780?\nAnswer: 741480460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 1114, 469 in descending order.\nAnswer: 1114, 469, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34493 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 28. Let z be n(-16). Let k(b) = -b**2 - 3*b - 1. Let m be k(-1). Sort 2, m, z in ascending order.\nAnswer: m, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 l when three letters picked without replacement from ectatjealttct?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 23 = 4*o. Suppose -2*s = -o*s - 12. Let c(p) = -p**2 - 6*p - 5. Let q be c(s). Solve 2*a + 2*m + 2*m - 2 = 0, a - q*m + 4 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13113022110 (base 4) in base 10?\nAnswer: -1929876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 14*b + 2650531 = 13*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534706?\nAnswer: 2, 267353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21729 + -21742. Which is the smallest value? (a) 0.1 (b) -4 (c) m (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -782, -0.4, 5 in decreasing order.\nAnswer: 5, -0.4, -782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4899735 and 90?\nAnswer: 9799470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v + 5. Let x(q) = -3*q + 6*q - 1 - 2*q. Suppose 4*h + 2*t = 6, 0*h - 2*h + 7 = 5*t. Let p(b) = h*o(b) + 5*x(b). Let d(u) = -2*u. Give p(d(k)).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -21, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.64618 - -1.5581676. Let o = -0.202 - -0.29. Let h = o + f. What is h rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -731*u**6\/120 - 51*u**5\/5 + 4*u**2 - 30*u. What is the third derivative of d(x) wrt x?\nAnswer: -4386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3*r + 234*a**3 - 84775*a**2*r - 15*a**2 - a*r + 2*a wrt r.\nAnswer: -a**3 - 84775*a**2 - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -12)\/(0 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -4, -5, 4, 1.455?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 28*q = 9. Let x(f) = f**3 - 9*f**2 + 2*f - 9. Let d be x(9). Calculate the greatest common divisor of d and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 26. Suppose 5*h - 70 = 5*v, v - 5*h = -2*v - 40. Let t be o(v). Suppose 4*s + 52 = 2*f, 2*s - 4*f + 26 = -0*f. Are t and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2751 to two decimal places.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/924 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**3\/3 - 3*n**2 + 5*n + 1. Let t(k) = -k**2 + 9*k - 6. Let v be t(7). Is q(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -6. Let m be (-3)\/(-5) - 9\/i. Suppose -2*t = -4 - m. Solve t*b = 4*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/7 + 1\/1. Let x be s\/34 - (-98)\/34. Suppose -3*z + 2*p = -4, -2*z + 0*z = x*p - 20. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -4\/13 (c) -26\/11 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 381720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - a - 56 = 0, -2*a - 85 = -3*z - 0*a. Let p be 2\/(-3) - (-140)\/3. Let j = p - z. Calculate the remainder when j is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.70194 litres?\nAnswer: 1701.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, u: 2, n: 4}. Give prob of picking 2 u, 1 n, and 1 v.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22937346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4502*o - 16793*o = 929890 - 130975 for o.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196 and 336?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 2*h**2. Let u be z(-2). Suppose 0 = -u*r - 4*r + 12. Let j be 1\/(60\/(-12))*(1 - 1). Solve -r*k = -j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 5:08 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 64419923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11617, 27211, 42805, 58399, 73993?\n\"Answer: 15594*p - 3977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - y = 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1 = 5*r, 11 = 5*r - 4*b - 2. Let q = 10 - r. Suppose -4*u - q + 89 = 0. Solve -u = -6*p + p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(891)*1 - (sqrt(11) - -5*sqrt(44)\/sqrt(4))) + sqrt(121)\/sqrt(275)*1 + 4.\nAnswer: -89*sqrt(11)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 17 = -3*y + 4, 2*y = -4*u + 22. Let j = 48 - 32. What is the remainder when j is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + -e0d12?\nAnswer: -e0d1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2 + 0 - -2. Is 11 a factor of c\/(-9) + (-200)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.317546353 rounded to 3 decimal places?\nAnswer: -0.318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 8. Calculate k(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 201, 332, 505, 714?\nAnswer: 953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 106\/11? (a) 29 (b) 5 (c) 8.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 - 2*f + 1. Let z(r) = r**3 - 2*r**2 + 2*r - 3. Let a be z(2). Let x be y(a). Are x and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*y + 6 - 4 = 0, 0 = 2*o + y + 8. Let s(q) = -7*q - 13. Let t be s(o). Solve t*m = 4*m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 972 + -972. Which is the nearest to 1? (a) -74 (b) h (c) -0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 21803?\nAnswer: -21803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1759303 * -5\nAnswer: 8796515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -220137, -19 in descending order.\nAnswer: 4, 1, -19, -220137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 + -129. Let l(n) be the second derivative of f + 1\/3*n**3 - 3\/2*n**2 + 2*n. Find the first derivative of l(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**2 - 283125*f - 2547882 = 0.\nAnswer: -94366, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-3)\/(38\/76*4\/(-10)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6809*h**2 - 2256*h**2 - 2259*h**2 - 2298*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - -23) + (28 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**5\/7 + 544*j**4\/7 + 1102*j**3\/7 - 1636*j**2\/7 - 2200*j\/7 + 2192\/7 = 0.\nAnswer: -2, 1, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13 - 22)*(-5)\/(-200) + 6\/10. Let k = -1 + 0. Let b = k - 3. What is the second smallest value in -3, b, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(720))**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.81 - 0.89. Let v = 46 - 45.7. Put v, m, 5 in ascending order.\nAnswer: m, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t + 4. Let v be (3\/9 - 0)\/(7\/(-21)). Let y(q) = q. Determine v*i(s) - 6*y(s).\nAnswer: -s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -300 divided by 2\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 7*b**5\/5 + 107*b**4\/24 + 15*b**2. Find the second derivative of g(q) wrt q.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynyldsdl. What is prob of picking 1 l, 1 d, and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1428, -2778, -4032, -5172, -6180, -7038?\n\"Answer: 3*v**3 + 30*v**2 - 1461*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1678254302 to five dps.\nAnswer: -0.16783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-2)\/28*-7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5971508, 11943008, 17914508, 23886008, 29857508, 35829008?\nAnswer: 41800508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/9 - 1718*u\/9 + 760.\nAnswer: 2*(u - 855)*(u - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 130 = -17*g. Let f(p) = 6*p**2 + 20*p. Let o(c) = 2*c**2 + 6*c. Let u(s) = g*o(s) + 3*f(s). Let d(a) = 37*a. Give d(u(q)).\nAnswer: -74*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*d + 14, j + 7 = 5*d - 6. Let g(i) be the first derivative of 5*i**2\/2 - 11*i - 8. Let t(v) = v - 2. Calculate j*g(f) - 11*t(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 44 + -2 + (-1 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0*t + 2*t + 1)*(-13 + 3 - 8) as b*t + k and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/288)\/(2\/(-3))*3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 85280\/(-24960) + (-20)\/24\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-35)*84\/(-90). Suppose 3*n - 13 = 4*i, 3*i + n = -0*i. Sort i, q, 0.04.\nAnswer: i, q, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/72*(-776)\/56 and 51\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 133 + -129. Solve 0*p + p = -3, 5*a - 12 = v*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 5:03 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971*a - 962*a = 90 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 82*z**2 - 17*z - 1393. Let k be h(-82). Let m(a) = -18*a + 8. Give m(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*r*t + 4*i*r + 198*i*t**4 - 3*i + 2*r wrt t.\nAnswer: -i*r + 792*i*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/20 + a**4\/2 - 5*a**3\/6 + 2*a. Calculate m(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -3\/8, -0.2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/8 + -2 - (-13)\/4. Suppose -a*j = -j - 1000. Is (j - -5)\/((-4)\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11575 - 7688. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(833) - sqrt(833)*-1)*4 + -4 - -6*((sqrt(833) + sqrt(833) + (sqrt(833) + -1)*-2)**2 - (-2 + (sqrt(833) + 0)**2)))*2.\nAnswer: -9932 + 336*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-6)\/261 - 0. Let c = -45 - -145. Let s = -100 + c. Is s >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81\/97 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (71 + -70 - (-10 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 11) to base 15\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 + (-1)\/(9\/1114). Let v = y - -126. Is v bigger than 15\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/745 or 520.5?\nAnswer: -6\/745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9063 divided by -5\nAnswer: -9063\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -536122?\nAnswer: 1\/268061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 18 = 2*j - 5, 2*b - 23 = 5*j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1160 or 37?\nAnswer: -1160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*j**3\/5 - 192*j**2\/5 - 7686*j\/5 - 49248\/5.\nAnswer: 6*(j - 57)*(j + 9)*(j + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6552 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 13*l - 21. Let w be z(10). Let k be 3\/(-2)*((-15)\/w - -3). Which is bigger: k or -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 26*z + 68. Give t(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203403757 to the power of 1\/2, to the nearest integer?\nAnswer: 34690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 3, -100633, -3 in increasing order.\nAnswer: -100633, -23, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**13)*l)\/(l**(1\/18)*l))\/(l\/(l\/(l\/l**13))*l\/(l**3*l)*l) assuming l is positive.\nAnswer: l**(485\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14057941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-11 - -11) + -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1957268 + o**2 + 3917230 - 1959962.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51123 by 10.\nAnswer: -51123\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 + 54. Suppose -4*r + l = g, 3*g + 22*r - 18*r = 467. Calculate the remainder when g is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3477168 divided by -48\nAnswer: -72441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(-5*5\/(-125)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + 6 - (2 + 2 + (6 - 2))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3894035163 to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {b: 3, w: 4, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {y: 1, a: 1, q: 1, u: 2, s: 1, t: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/216 and 14\/15.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 3\/(-9)*1. Is j at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175998 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28303 = -5*l - 728. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, 920, 3892, 8546, 14882, 22900, 32600?\nAnswer: 43982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 17. Calculate the highest common divisor of 21 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20536 is divided by 1374.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = -4*z, 2*w = 6*w - 5*z - 39. What is the greatest common factor of w and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, n: 7}. What is prob of picking 1 j and 2 n?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 48\/8*3\/(-9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -876, -2695, -5456, -9159, -13804?\nAnswer: -19391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -20.5. Let o = f - -7. Let i = -0.5 + o. Which is the closest to -1? (a) i (b) 1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219 divided by 80?\nAnswer: 1219\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7920)*-1 - sqrt(7920))\/(sqrt(5) + (sqrt(5)*-3*4 - sqrt(5))) + 5)*5.\nAnswer: 25 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 6:10 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 460353 by 519.\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -981\/6553 or 1?\nAnswer: -981\/6553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1184 = -163*q + 237*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*c + 60 = 0, 10 = 10*c - 12*c. Let x(z) = -424*z - 69. Is x(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**(4\/29)*i*i*i\/i**(-3\/5)*i*i**(-2\/13))\/((i**(2\/5)*i**(-4))\/(i*i**(-2\/7)*i**4*i)) assuming i is positive.\nAnswer: i**(182479\/13195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 243*n**3 + 6 + 0*n**2 + 2*n**3 + 0*n**2 + (-5*n + 2*n + 2*n)*(4*n - 4*n + 2*n**2) to d*n + a*n**2 + h*n**3 + z and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*w = -26, 0*x = -4*x - 2*w + 4. What is the derivative of -x*i + 3 + i + 0*i wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -5 (b) 1 (c) -1 (d) -0.24 (e) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 124*q**5 - 45*q**5 - 37*q**5 - 2*q**5 - q**5 + 4*q**5 + (-3*q**3 - 7*q + 7*q)*(-q - q**2 + q).\nAnswer: 46*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18056 or -18062?\nAnswer: -18062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 12*p - 7. Calculate n(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 2*a**2 + 3*a - 4. Let s be b(4). Let f = -17 - s. What is the derivative of -7*w + 2*w**2 + f*w - 2 wrt w?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 13332?\nAnswer: 13332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 4*r - 7. Let t be q(-6). Suppose 6 = -2*g + t*g. What is the third derivative of 5*x**5 + 0*x**5 - 3*x**2 - g*x**5 wrt x?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a factor of 14843457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 39. Find the first derivative of 2 + 2 - d*k**2 + 2 + 10*k**2 wrt k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 4 (c) 0.5 (d) 45850 (e) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -641 + 678. Calculate the remainder when 439 is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 7:37 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4\/3 - 2224*f**3\/3 - 18368*f**2 + 8896*f\/3 + 220480\/3 = 0. What is f?\nAnswer: -530, -26, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 194814 and -0.3.\nAnswer: -58444.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 96*y - 42*y - 346*y.\nAnswer: y**2 - 484*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 + 0 + 1 + 0 + 1 + q in the form b*q + c*q**2 + o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**2 + 36*v - 4. Let i(a) = 2*a**2 + a + 2. What is -2*i(x) - j(x)?\nAnswer: 3*x**2 - 38*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 158481*u + 6 + 2*u**2.\nAnswer: 2*u**2 - 158481*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*p = -3 - 4, -4*y = 4*p - 68. Suppose 2*c - y = -w, -w - 2*c = c - 12. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 32. Let x be z + 0 + (-138)\/27 + 4. Which is the third smallest value? (a) -0.3 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 5 + 8*g**2 - 11\/27*g**4 - 1\/45*g**5 - 16\/9*g**3 + 3*g. Let f(s) be the first derivative of d(s). Factor f(r).\nAnswer: -4*(r - 1)*(r + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rriiirsworsror. Give prob of sequence soir.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 366127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-9))\/((8\/2)\/((-54)\/(-9)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnqqn. What is prob of picking 1 q and 1 n?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 32. Suppose r = 26*p - 28*p + 6. Solve 0*c + p*c - 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 - -97.748. Let w = 0.252 + g. Let r = -0.8 + 5.8. Which is the third smallest value? (a) 0.1 (b) 3 (c) w (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/35 and -37\/55.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -57713.\nAnswer: -57713.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -169 (base 12) to base 10\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(684) + 4 - (4 + (sqrt(684) - (sqrt(684) + 1) - sqrt(684))).\nAnswer: -12*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14332225?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/3, -4837\/13, -1\/6, -861.\nAnswer: -861, -4837\/13, -1, -2\/3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*l - 165 = 146*l. Suppose -21*p = l*p - 72. Solve a + 3*a = p*m + 2, 28 = -4*a - 4*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 100?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, v: 1, i: 1}. Give prob of sequence wviw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975018 is divided by 325004.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934793 a multiple of 353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799453354?\nAnswer: 2, 7, 57103811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100011011 (base 3) in base 2?\nAnswer: -1011001111010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 9*n**2 + 9*n + 12. Let u be l(-8). Suppose -u*q + 5*j + 252 = 9*j, 4*j - 132 = -2*q. Calculate the highest common factor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1536832 is divided by 307344.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 183667\/849 - 2\/6. What is the highest common factor of o and 3744?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 12*b**2 + 3*b + 15*b**2 in the form v*b**2 + u*b + g and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11325, 90475, 305249, 723453, 1412893, 2441375, 3876705, 5786689?\nAnswer: 8239133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 3. Suppose -h = -2*t + 2. Let r(u) = 5*u**2 + 3*u + 5. Let s(g) = -3*g**2 - 2*g - 3. Let y(x) = t*r(x) + 7*s(x). Give y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, c: 2, g: 3, v: 7}. What is prob of sequence vc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -1. Let z = f + -0.6. Let l be (-1)\/(-5) + 18\/(-40). Is l at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -4*a - 5*g, -a = -3*g - 15 - 1. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**3\/3 - 19*q**2\/2 - 69*q + 45. What is the remainder when 21 is divided by r(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 6 = -13*i. Let g(h) = 10*h - 7. Let o be g(1). What is t in -2*t**4 + 3*t**3 + 2*t**i - 2*t**3 + t**o + 2*t**3 - 4*t = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 5*l - 11. Let k be x(7). Suppose g + 4*g = k*v + 374, g - 638 = 5*v. Let z = -79 - v. Calculate the highest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 381249027 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z + 3. Determine b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (31\/(-62))\/((-1)\/5054858). Let n = 1680429 - d. What is n rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48282 + 9*o + 7*o - 48130 + 96675 to the form k*o + q and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2452281 and 0.8?\nAnswer: -1961824.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + -53691.\nAnswer: -53690.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 4 + -2*sqrt(704) + 5 + 0 + 1)*6)**2*2.\nAnswer: -20736*sqrt(11) + 208584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 - 7.5. Let u = 149\/6 + -25. Which is the smallest value? (a) -3 (b) u (c) j (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*l - 2192 = 7*l - 2240 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4025*b - 6 + 2 + 3299*b + 0 as j*b + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/6 - 28*y**2\/3 - 121*y\/2 - 93.\nAnswer: (y - 62)*(y + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (208 + 15*q - 208)*(-3 + 4 + 1 + (3 - 7 + 2)*(5 + 0 - 3) + 1 - 3 + 4 - 1 - 1 + 1 + (-6 - 2 - 2)*(0 + 3 - 1) + 4 + 0 - 2)*(3 + 11 - 2).\nAnswer: -3420*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 u, and 1 k when three letters picked without replacement from ekeujleeu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 128 + -38 - 22\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 5*w**2 + 2*w - 1. What is u(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3 - 1720*d**2 - 3428*d + 13744 = 0.\nAnswer: -1718, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i - 4 = 0. List the prime factors of (0 + (i - 3))*-13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 383 and 1021.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -50*g - 1502. Give p(58).\nAnswer: -4402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 6. Let h be k(8). Let m be (h - -1)\/((-1)\/4). Let v be m\/6 + (-35)\/(-15). Which is smaller: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 186 = -v. Suppose -6*s = -4*s - v. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + 0*y)*(10*y - 19*y - 42*y) + (2*y + 3*y - 2*y)*(0*y - 4*y + 2*y) + 0*y**2 - 2*y**2 - 5*y**2.\nAnswer: -64*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-6)*(-604)\/(-2). Suppose 5*h = h - 16, -5*p = -4*h - a. Suppose -5*d + 67 - p = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1948 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1\/3, -0.1, -0.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1103, 1116, 1137, 1166, 1203, 1248, 1301?\nAnswer: 1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*w + 64. Let u(v) be the third derivative of 11\/6*v**w + 0*v + 0*v**6 - 13*v**2 + 13\/210*v**7 + 0 + 0*v**4 + 0*v**5. Differentiate u(a) wrt a.\nAnswer: 52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18197135 = 157*k + 18180336 for k.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684) - (sqrt(684) + 1)) + sqrt(76)\/sqrt(36))**2 + (sqrt(57)\/(-2*sqrt(147) + sqrt(147)))**2)*-6.\nAnswer: -3086\/147 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*0.083913106.\nAnswer: 0.0587391742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4\/5, 5, -5, -0.9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 3*v**2 - 2*v - 3. Let q be r(-3). Solve i = q*i - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -6503, -4\/3, 2\/9, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i - 1. Let z(h) be the first derivative of 1\/2*h**2 + 0*h - 149. What is l(q) - 2*z(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0*v**6 - 76*v**2 + 0*v**7 + 0 - 1\/60*v**5 - 41\/336*v**8 + 65\/6*v**3 + 0*v**4 + 0*v. Find the third derivative of y(w) wrt w.\nAnswer: -2460*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a\/a**(-2))\/a*a))\/a)\/a**(-2\/3))**(-37)*(((a**(-1)\/a)\/a)**(15\/11))**11 assuming a is positive.\nAnswer: a**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 605*b**4 - 29*b**3 + 287*b**2 + 676702450*b wrt b?\nAnswer: 7260*b**2 - 174*b + 574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 6 = -11*p. Suppose p*g - 17 = 16. What is the first derivative of -14 + g + 38*k - 11 + 1 wrt k?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(720)*-2 + 4))**2.\nAnswer: -6912*sqrt(5) + 104256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51975 + 49954 = -1057*l + 10628 + 21539 for l.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36611323?\nAnswer: 7, 5230189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -420565403 + 21?\nAnswer: -420565352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -883*q**5\/5 + 254*q**3 - 883. Find the third derivative of u(x) wrt x.\nAnswer: -21192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1245 - 180753622.\nAnswer: -180752377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from nnnjjnjjjrjjljl?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**2\/2 + 6*a + 9. Calculate the smallest common multiple of g(21) and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from nqureweunuqn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 5*p - 4. Let a be h(-6). Solve v = -0*q + q + 5, -5*q = 4*v - a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1195*d**2*y - 2*d**2 - 33*d with respect to y.\nAnswer: -1195*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*(-1 + 1 + h) - 135*h + 224*h - 120*h as w*h + m and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 355847 or 355841?\nAnswer: 355847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*z**5 - 11756*z**4 - 2412*z**3 + 35308*z**2 - 16456*z - 4704 = 0. Calculate z.\nAnswer: -2, -1\/5, 1, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 - -0.6. Let l = 967 + -962. What is the biggest value in t, l, -2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 18*d**3 - 45*d**2 + 45*d. Let t(p) = -p**2 + p. Determine -s(b) + 45*t(b).\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + j - h - 10, 0 = 2*j + h + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 25, 63, 117, 187?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*5\/((-10)\/4). Let d be l - 0 - (-37 + 3). Suppose -69 = -5*g + d. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00859056 to four decimal places.\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:08 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkdkbkbkkdbddbkd. Give prob of sequence kd.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 + -453047?\nAnswer: -453100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**4 - 2*x**4 + 6*x**4 + 3*x - x**4 - 3*x + (-2*x**2 + 2*x**2 - x**4)*(-1 - 1 + 3) to u*x**3 + k*x + g + w*x**2 + t*x**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-5)\/sqrt(8)*5 + 4 - ((((3*sqrt(152) - sqrt(152)) + sqrt(152))\/sqrt(8))**2 + (sqrt(1216) + sqrt(19))*-5).\nAnswer: -167 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1766058703?\nAnswer: 23, 103, 151, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 2. Let b(w) = -5*w. Let t be b(1). Let i(r) be the first derivative of -r**2\/2 - 3*r + 4. Let g be i(t). Give y(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20755 - -20755.1. Put -2\/5, 4, g, 3\/167, -1 in decreasing order.\nAnswer: 4, g, 3\/167, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1100) + sqrt(1100) + 1 + -4)**2*-5 - ((sqrt(1100)*3)**2 + 0 - (2*(4 + sqrt(1100) - sqrt(1100)))**2).\nAnswer: -32156 + 1600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*x + 56, 2*a = -0*a - 3*x - 20. Let i = a + 20. Calculate the remainder when 2*(-1 + (-13)\/(-2)) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**3\/8 + 27*d**2\/16 - 27*d\/4 + 26. Factor o(z).\nAnswer: -3*(z - 6)*(z - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14454194 by 2.\nAnswer: -7227097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 7\/12482 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2686061 to four decimal places.\nAnswer: 0.2686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 44\/(-28) - (-5304)\/8008.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/20*0*-1. Suppose -2*m + 2 = 4*w, w - 4*w - 6 = 3*m. Suppose 0 = -5*q - 0*q + 30. Solve c = -w*r - 0*r + q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -350*j - 668. Let t be v(-2). Suppose -5*b = -227 - 93. What is the highest common divisor of b and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3564)\/24)\/33*8\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, d: 3, q: 4, m: 1}. What is prob of sequence qqmi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50052 (base 9) in base 10?\nAnswer: 32852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(-2*c - 2*c + 2*c) + 5 + 4*c - 2*c - 14)*(-2 + 8 - 3)*(4*c + 2*c**2 - 4*c).\nAnswer: -12*c**3 - 54*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/7 and -19\/355.\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 9:15 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 27 = -297. Find the second derivative of -28*g**3 - 43 - 9*g**3 + 43 - l*g wrt g.\nAnswer: -222*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011010101122211 (base 3) to base 11\nAnswer: -937895a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 117\/(-156)*16\/(-6). Factor c + 5\/2*c**m + 0.\nAnswer: c*(5*c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59402887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1249484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-10)\/(-6)*(-5040)\/(-100) and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.4 (b) 2\/15 (c) -32 (d) -5\/7 (e) -3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaaqqqn. What is prob of picking 1 v and 2 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000477105258 to 6 dps.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221 divided by 10.\nAnswer: 221\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -2\/5, -3.\nAnswer: -3, -1, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 36 + 22)*(v + 3*v - 3*v).\nAnswer: 81*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j + 23. Let z be d(8). Let t = -2 + 6. Let q = t + z. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 47.00000195. What is g rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2 + 2. Let b(i) = -7*i**2 + 2. Let n(u) = -11*u**2 + 3. Let m be ((-15)\/6)\/(1\/2). Let r(d) = m*n(d) + 8*b(d). Give -j(o) + 2*r(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2 + 44*i + 48 = 0. What is i?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.87 + -0.67. What is the closest to -0.3 in 2\/11, q, 0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**3 - 54*i + 55*i + 5 - 2*i**4 + 6*i**4 - 5*i**4 as h*i**4 + j*i**3 + m*i**2 + u*i + t and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-30) - -1*15712\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/42 - ((-7032)\/252 - -14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 559.350127 to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 198*l**2 - 605*l. What is the least common multiple of 1158 and o(-3)?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.5 and 0.4?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001277896038 rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (33 + -16 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 45*q + 7929. Let g be m(0). Let n = -12820311 + 205251755\/16. Let a = g - n. Calculate the common denominator of 41\/6 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1 - 5 = 0. Let n be (-4)\/(2 - 4) - 1. Sort j, -4, n in decreasing order.\nAnswer: j, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 33 - 12 = 0. Let j(u) = -u**3 + 10*u**2 + u - 10. Let k be j(l). What is the highest common factor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from ddqxddxt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -7*j**2. Let r(h) = -10 + 27 - 13 - 3 - 2 + 454*h. Determine r(p(b)).\nAnswer: -3178*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11794488 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5492, 5483, 5474, 5465?\n\"Answer: -9*q + 5501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1915628 from 0.\nAnswer: 1915628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - y**3 + 525 + 3*y**2 - 520 + 3*y + (-3*y**3 + 3*y**3 - 2*y**3)*(2 - 4 + 3).\nAnswer: -3*y**3 + 6*y**2 + 3*y + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.048884 times 0.0458\nAnswer: 0.0480388872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -15*x**2\/2 + 21*x - 127. Let y(v) = -v + 1. Let n(g) = -t(g) + 18*y(g). Let f be -3 - -1*(-1 - -1). Determine n(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 - (-6169)\/(-93))*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from bbbrbcrrbrfcbrrrgf.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1856623.\nAnswer: 19, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.85027 centuries to decades.\nAnswer: 48.5027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -526, -757, -432, 713, 2942, 6519, 11708?\n\"Answer: 44*b**3 + 14*b**2 - 581*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 30*y - 28*y. Let l = y + -50. Let m(c) = -c**3 + 19*c**2 + 22*c + 8. What is the units digit of m(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 11 - 4. Let q be (20\/45)\/(((-28)\/(-6))\/y). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1317972 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 67*b = 66*b - 65, 1 = q + 4*b for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-2) + (0 - (-4)\/2). Suppose -3*r = -i + 66 + 63, -l*r - 359 = -3*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 20. Solve -1 = -y*d + 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/(-1059)*-11*13\/572*-45 and -4*-2*(-3)\/18.\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146 and 74455474.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -72\/7, 4174 in descending order.\nAnswer: 4174, -2, -72\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1994\/385 + 36\/7. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 124)*126\/756 - 10\/(-8). Let -15\/2 - y*j + 9\/4*j**2 = 0. Calculate j.\nAnswer: -1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3) + -11 + (44 - 6 - -11)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266859 is divided by 474.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (-60 + 112 - 7)) + 15 + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1476112831 from -723.\nAnswer: -1476113554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/4 (b) 1 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0317 or 1?\nAnswer: 0.0317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8442221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/518 and (-18018)\/588*(-1)\/30?\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w. Let t(m) = -m**2 + m - 1. Let u(n) = -6*n**2 - 4*n + 4. Let c = -103 + 102. Let b(j) = c*u(j) - 4*t(j). Give b(z(g)).\nAnswer: 90*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -1132, -3784, -8950, -17470, -30184?\nAnswer: -47932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 5:31 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 232, 244, 274, 328, 412, 532?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (sqrt(11) + 2)**2) - ((sqrt(539) - (sqrt(539) + 2))**2 + 3).\nAnswer: 38 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3391.\nAnswer: 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -815*o = -821*o. Suppose 22*l - 55*l = o. Solve -2*f - n - 8 = -5*n, f + n - 5 = l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 204244997 - -10.9.\nAnswer: 204245007.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**3 - 2*r**2 + r. Let n = -14 - -15. Let u be q(n). Suppose -x - 1754 = -u*a, -a + 0*x = x - 578. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 20*x)*(-28 + 28 - 3*x) to u + m*x**2 + p*x and give m.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 9*m + 5*m - 4*m - 2*m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/6*1\/7. Let d = 0.23 + -2.23. What is the second smallest value in d, -4, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 4. Let m(t) = -2*t - 9. Let l be (8\/6)\/((-2)\/6). Let a be (-10)\/4 + (-2)\/l. Let b(d) = -6*d - 3. Let j be b(a). Give j*r(c) + 4*m(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + i + 4. Let d(y) = -7331*y**2 - 2207*y + 4. Let h(w) = d(w) - x(w). What is the second derivative of h(u) wrt u?\nAnswer: -14660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + 2 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 287?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4668544871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(-2 + (sqrt(363) + 4 + 5)**2).\nAnswer: -1772 - 792*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 12 - 10. Let h = 27 - j. Factor -2\/7*v**3 + 0 + 0*v**4 + 0*v**2 + 2\/7*v**h + 0*v.\nAnswer: 2*v**3*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 37005196\nAnswer: 185025980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4023 * 5.2.\nAnswer: 20919.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 849013 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1611750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-40)\/24 + 2)*-1083. Let c = -233 - m. What is the highest common divisor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1663664, 3327143, 4990622, 6654101, 8317580?\nAnswer: 9981059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtrtrr. What is prob of sequence rtrr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23560780*d*y - 3*y + 998692 with respect to d.\nAnswer: 23560780*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7995.\nAnswer: 3, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 5 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 534590 > 534587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1.05. Let i = -0.05 - v. Which is greater: 1\/5 or i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*u + 22, -22*u + 27*u + 2*p - 53 = 0. What is the smallest common multiple of 168 and u?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 159*m + 2*m**2 - 4*m**2 - 146*m as n*m + x + b*m**2 and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 3203?\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**5 - 1500*d**4 + 36548*d**3 + 1224764*d**2 + 5793048*d - 7052864 = 0?\nAnswer: -13, -8, 1, 49, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23035\/4 - 126659\/22. Let r = 8073 - 96847\/12. What is the common denominator of r and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -75858?\nAnswer: 75858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-3*6 + -1). Suppose -p + 4*p + r = 0. Let d(b) = b**3 + 7*b**2 + 2*b + 9. What is the tens digit of d(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.1. Suppose 30 = 6*b - 12*b. What is the third biggest value in b, h, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 10:33 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/376831 and -53\/3198.\nAnswer: 2260986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*p - 1. Let i be (p - 1)\/(-4 - -2). Let s = i - -1. Solve 0 = -l - l + s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*q, 5*f - q - 11 = 3. Let l(d) = -2*d + 1. Let k(n) = 2*n - 2. Determine f*l(j) + 4*k(j).\nAnswer: 2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 - i**2 + 3*i**2 + i**3 - 15*i**3 - 30*i**3 to c + p*i**2 + q*i + b*i**3 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22044 - -100411?\nAnswer: 23312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f - 60 = -17. Which is smaller: -7\/347 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1279 + -1253.44. Let k = h + -0.56. Let t = 24.8 - k. Sort t, 0, 0.1 in decreasing order.\nAnswer: 0.1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/19 (b) -66.4 (c) 1132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 44345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 633, 1437, 2573, 4047?\nAnswer: 5865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 24*q + 5. Let a be j(6). Suppose -o + 5 = -3*m - 18, -5*o - 2*m + a = 0. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 388359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4092689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + -3d2?\nAnswer: -3c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 93.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 60 = -17*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 34 = p, -3*d + 3*p + 13 = -17. What is the greatest common divisor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.146 + -128.1\nAnswer: -128.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-2))**(1\/19)\/(((b*b\/((b*b**5)\/b))\/b)\/(b\/(b**3\/b))))**(-2\/113) assuming b is positive.\nAnswer: b**(-122\/2147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**6\/2 + 18*v**5\/5 - 6*v**4 - 6*v**3 + 27*v**2\/2 + 215. Let u(h) = 0. Calculate h.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.104332mg to micrograms.\nAnswer: 4104.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*z - 16692 + 49986. Calculate the smallest common multiple of 358 and z.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 44*d + 79. Determine q(-37).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -2, 1, -1 in ascending order.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 7*f**2 - 7*f - 2*f**2 + 7*f.\nAnswer: -2*f**3 - 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 + 1353*o**4 - 6822*o**3 + 8220*o**2 + 5448*o - 10944.\nAnswer: 3*(o - 2)**3*(o + 1)*(o + 456)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 126833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -941, -939, -937, -935, -933, -931?\n\"Answer: 2*q - 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 99*z**2 - 486*z - 432.\nAnswer: (z - 24)*(z + 3)*(5*z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 10089204\nAnswer: 706244.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2096.9999984616 - -2097. What is m rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from kekeeerejc.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6746463 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 50 = -5*o + 2*z, 3*o = -z - 19. Sort 0.3, 2\/5, 6\/5, o in decreasing order.\nAnswer: 6\/5, 2\/5, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 0 + 0*o - 1\/12*o**5 + 1\/8*o**4 + 0*o**3 + 8*o**2. Give b(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40059236*i**2 - 12*i**3 - 40059236*i**2.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 123940 (base 10) to base 4\nAnswer: 132100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 != 114966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 16) + 0 + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 8, -7, -18?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - -1) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1637 or 52?\nAnswer: -0.1637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 4a?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*i - 1034 = 0, -i + 5 - 4 = 0. Is z\/28*2*-2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(154\/(-990)*-9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1743, -3477, -5189, -6873, -8523, -10133, -11697, -13209?\n\"Answer: g**3 + 5*g**2 - 1756*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*-1*2582\/4. Let i = 54251\/14 + w. Find the common denominator of 3\/(-20) + 0 - 2 and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -8*n**2 + 0*n**3 + 0 + 0*n - 1\/12*n**4. Let c(d) be the first derivative of -23*d**3\/3 + 1. What is o(c(k))?\nAnswer: 46*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 11*y**2 + 11*y + 8. Let j be x(-10). Let d = 0 - j. Suppose -v + d = v. Which is bigger: v or 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 14*i - 11. Let o be q(-5). Let b be ((-85)\/o)\/(1 + (-6)\/4). Suppose -85 + 6 = -c + b*l, l - 291 = -5*c. List the prime factors of c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 486*z**6 + 10692*z**5\/5 + 1971*z**4 - 3460*z**3\/3 + 208*z**2 - 16*z + 1698. Let f(j) = 0. What is j?\nAnswer: -2, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 530 - 236. Is z a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-45) + (-4)\/(-20)*2. Factor c*p - 2\/3*p**2 - 2\/3.\nAnswer: -2*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5873\/6 - -1 - 2\/(-12) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let u = -4.8 + 5. Let z = p - u. Which is the second smallest value? (a) -3 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7608724657.52 + 0.4\nAnswer: 7608724657.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) - (2*sqrt(19) + -3))*1.\nAnswer: -6*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -566 and -325.\nAnswer: 183950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -38?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -7, 181, 3 in descending order.\nAnswer: 181, 3, -7, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -109*o**2 - 49 + 224 + 2*o - 68 + 190. Let y(k) = 55*k**2 - k - 148. Let m(x) = -3*t(x) - 7*y(x). What is the derivative of m(z) wrt z?\nAnswer: -116*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 7 (b) 5 (c) -2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4552089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/(-540))\/(6\/20)*1\/(9\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 1. Let h be i(2). Let y = h + -1. Find the second derivative of 5*o + 35 - 35 - o**y wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5786817mm in nanometers?\nAnswer: 578681.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -4. Suppose -q*r + 10 = 5*v, -4*v + 2*r = -r - 8. Let m = -21 + 31. Solve -v*s + 8 = 2*a, -3*a + 2*s - m = -6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38664 and 432.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.077430883 to 4 decimal places.\nAnswer: 0.0774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 5*x + 3. Let c be u(4). What is the tens digit of (45\/(-6))\/(c\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13002 (base 7) to base 13.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**4\/4 + 14*t**3\/3 - 7*t**2 - 294. Determine n(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 39232, 78496, 117760, 157024, 196288, 235552?\n\"Answer: 39264*o - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 232.4092.\nAnswer: 232.5092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 12084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1218 to two decimal places.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -159, 233, 725, 1311, 1985, 2741, 3573?\n\"Answer: -k**3 + 56*k**2 + 231*k - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**5\/20 - 7*v**4\/24 + 7*v**3\/12 - v**2\/2 + 13*v. Factor b(w).\nAnswer: (w - 2)*(w - 1)*(2*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -917797.\nAnswer: 917808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*i - 52008 = -81*i. What are the prime factors of i?\nAnswer: 2, 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4699 and 662813.\nAnswer: 24524081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h - 80. Let b = -285 + 287. Solve -b*o = -6*o + h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loolol. What is prob of picking 1 l and 3 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -270 + -4?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*b - 1971, -11*l + 782 = -9*l - 4*b. Find the common denominator of l\/(-330) + 3\/(-18) and 2\/4 - 31\/10.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 - 3*c**4 + 3*c**4 + (0 + 0 - c)*(-3*c**2 + 3*c**2 + 2*c**3) - c**4 + 0 + 0 - 8*c**4 - 12*c**4 + 8*c**4.\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3*c = -6 + 9, 3*c = 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, h: 11}. Give prob of picking 1 t and 1 h.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 792, 1578, 2364?\n\"Answer: 786*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 17 = -74 + 1 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 33882330 divided by -1905\nAnswer: -17786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0262564209 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*3\/18*6. Suppose -4*m + q*m - 55 = 0. Let n = -31 - m. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -286.0117 rounded to 0 dps?\nAnswer: -286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + (sqrt(2) - (sqrt(8) + 3)) + 5 + ((sqrt(384) + sqrt(24))*1)\/sqrt(12) + -1)**2.\nAnswer: -8*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*i, 4*j + 5*i + 32 - 441 = 0. Let s = -265 + 268. What is the remainder when j is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (7 + -1 + -14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*h**3 + 34*h**3 - 35*h**3)*(2*h**2 - 5*h**2 + h**2).\nAnswer: -64*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471*b = 476*b - 795. What is the highest common divisor of 424 and b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -767*n + 16. Let i(a) = 32214*a - 676. Determine 4*i(z) + 169*j(z).\nAnswer: -767*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459*a - 273*a = -1116. Let r be 4*2*6\/(-16). Sort a, r, 2\/13 in ascending order.\nAnswer: a, r, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d - 47*d + 157*d + 87*d + 9*d as n*d + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 832 = 4*o, 179 = 4*o - 5*z - 626. Let w = 205 - o. Solve -2*t + 3 = s, w*t + 4*t = 4*s + 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 758.5634 millimeters to meters.\nAnswer: 0.7585634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y**2 - 1. Let a(b) be the first derivative of 5*b**4\/2 - 5*b**3 + 15*b - 31. Let h = -839 + 824. Calculate h*p(u) - a(u).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212*o**4*u - 16*o**3*u + 13*o**2*u - 30*o**2 + o wrt o?\nAnswer: 5088*o*u - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2417022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -154263.21 and -4?\nAnswer: 617052.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -13. Suppose 0 = -k + g*u - 1, -1 = -2*u + 3. Let s(m) = 2*m**3 - 4*m**2 - 2*m + 4. Is 5 a factor of s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7*w = -15. Suppose t + 1 = w*h + 3*t, 5*h + 5*t = -5. Solve 2*i - 5*g = 18, 4*g - 4 = -h*i - 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -309*l*p**2 - l*p*u - 2*l*u + 10*l - 13*p**2 - 12*p*u + 1149 wrt l?\nAnswer: -309*p**2 - p*u - 2*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000011111 + -110001111101?\nAnswer: -11001010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398166.\nAnswer: 2, 3, 66361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-2)*13\/(195\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -36, -47, -78, -135, -224?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v - v)*(3*v - 3*v + 2*v**2 - 3*v) - 8*v + 3*v**3 + 8*v.\nAnswer: 7*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 31. Let p be v(-21). Let u = p + -33. What is the common denominator of -91\/22 and 1*(u + 2) + (-511)\/(-14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + b?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020 <= 1002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 126526 - -6?\nAnswer: 126535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*i = -85 + 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5 = -2*o, o - 27 = 4*r - 2. Let l(i) = 5*i**2 - o*i**2 - 3*i**2. Let f(s) = s - 2*s - s. Give f(l(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:30 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25366 is divided by 110.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 4*y\/3.\nAnswer: y*(y - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -39.81.\nAnswer: -19.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 - -121 - (-4)\/(4\/(-7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, b: 3}. What is prob of sequence bgbg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*2*5\/(-250)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37688.9 - 38327. Round h to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -1725, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (302*x**4 - 1837*x**2 + 1837*x**2 - 2*x**4 + x**4 - x**4 + x**3 - 2*x**4 - x**3 + (-x + x + 2*x**2)*(-x**2 + 5*x - 5*x))*(2*x + 1 - 1).\nAnswer: 592*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -147*f + 145*f - p + 27245, -3*f - 3*p = -40875. Calculate the greatest common divisor of f and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 73*l. Let c(o) = 4*o**2 + 4646. Calculate h(c(s)).\nAnswer: 292*s**2 + 339158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (1 + -2) - (33 + 26 + -66).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -594b71?\nAnswer: 594b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 166.\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 347575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 - 6*v**2 + 5*v + 4. Let y be m(4). Suppose y - 8 = s. Let u = s + -43. Solve 0*o = -o + 5*w + 23, -1 = u*o + 4*w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -2. Let p = g + -15.16. Let q = 0.04 - p. What is the second biggest value in q, -0.5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4 = -3*r + 5, -x = -r - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, -0.4, 2.17 in descending order.\nAnswer: 4, 2.17, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4014?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 48.50795 nanometers?\nAnswer: 0.000004850795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -145 - -132. Let r(g) = 2*g - 26. Let h(s) = s - 13. Let u(n) = k*h(n) + 6*r(n). What is u(14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1240342 (base 5) to base 2\nAnswer: 101111110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/5, -1\/8, 1\/9, 2\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -396*p**4*z**2 + 4*p**4*z + 2*p**2*z**2 + 3459*p**2*z wrt p?\nAnswer: -9504*p*z**2 + 96*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29339974?\nAnswer: 2, 14669987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -548971*7\nAnswer: -3842797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - q. Let n(w) be the third derivative of 0*w**3 - 1\/6*w**4 + 3*w**2 + 0*w - 8 - 2\/15*w**5. Calculate 8*g(k) - 2*n(k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26192\/(-6) + -2)\/(1828\/(-6)). Let k = y - 2\/1371. Let q = k + -35\/2. Which is smaller: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 11)*(8*y + y - 2*y) to the form f + n*y and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.0139, -5, 1, -0.4, -0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.52172752 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 267.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*sqrt(28)*-1*6 + -5)**2.\nAnswer: 720*sqrt(7) + 18194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1983852?\nAnswer: 2, 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 41*r - 8515. Give i(74).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -278, -384, -490, -596?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l - 0. Suppose -l*b + 5*v = -2, -v - 26 = 4*b - 8. Is (-1)\/2*2*b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -1\/8*d**4 + 1\/15*d**5 + 3*d**2 - d**3 + 0 + 1\/120*d**6 + 0*d. Determine k(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160\/(-1040) - (-852)\/(-39)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.082614kg?\nAnswer: 82614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7998 = 382*w + 6088 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 6*q + 4. Let u be m(0). What is the second derivative of -8*s**3 + u - 4 - 2335*s + 2372*s wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 - 12*b**2 + 21*b + 7. Let r(q) = 5*q**3 + 26*q**2 - 46*q - 15. Give -13*h(w) - 6*r(w).\nAnswer: 9*w**3 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 4903, 26\/9, 0.2, -0.45?\nAnswer: 4903","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 2*b**2 - b - 3*b + (-266*b + 155*b + 134*b)*(b - 19 + 19).\nAnswer: 25*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43861733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*b = -24, -b = -8*w + 3*w - 24. Let p be (-4 + (-2 - w))*-1. What is the third derivative of p*c**2 + c**2 - 2*c**3 - 2*c**3 + 6*c**3 wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(13\/6 - 2). Let d = -42 + 46. Let x = -0.2 - -0.1. Sort d, x, k in ascending order.\nAnswer: k, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*p - 3826. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (82\/10)\/(19\/95). Is n < -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 48. Solve -2*z - h - 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-1)\/(7\/1). Suppose z - 3 + 0 = -x, -x + 4*z - 2 = 0. Suppose -x*h = 4*p + 16, -5*p = -7*p - 8. Which is bigger: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -799 minus 0.04?\nAnswer: -799.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -16*v - 70. Let f = -93 - -95. Put v, 4, f in descending order.\nAnswer: 4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3119888 + 12.\nAnswer: -3119876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205967, 205963, 205959?\nAnswer: 205955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 131776 and 0.425?\nAnswer: 131775.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/5 - 356*l**2 + 5322*l\/5.\nAnswer: 2*l*(l - 887)*(l - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*b + 63 = 0, -i + b + 0*b + 60 = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 72\/32 - (-1)\/(-4). Suppose -t - 4*z + 81 = 0, -2*t - 7*z = -u*z - 177. Is 28 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4980 is divided by 156.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7 = 2*n, 6*d - 8 = 3*d - n. Suppose 0 = -5*z + x + 9, d*z + 3*x + 6 = -3. Let h = 231\/10 - 20077\/870. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 3*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -757722?\nAnswer: 757715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -4.319, -8, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-278)\/1251 - (-431626)\/18?\nAnswer: 3, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 4, -21, 39 in decreasing order.\nAnswer: 39, 5, 4, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 313 + -310. Which is the third biggest value? (a) n (b) -0.5 (c) 0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13537993879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2. Suppose s - 12 = -5*s. Let z(l) = 11*l**2 - 28*l**2 + 12*l**s. Determine z(i(g)).\nAnswer: -20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/51*(-264)\/1144.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 1 (b) 215 (c) 5 (d) -4 (e) -3 (f) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.58 and -24.\nAnswer: -24.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4942 is divided by 2350.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1812*w - 1812*w - 1381*w**2 + 868*w**2.\nAnswer: -513*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*c\/(c\/(c*c**(-2\/7)))*c)\/c)*c*c**(-2\/31)*(c**(-8)\/c*c)\/(c**(-6\/7)*c) assuming c is positive.\nAnswer: c**(-1719\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*q + 18, 0 = -q - 0*l - l + 7. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2785 by 5.\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 1034.\nAnswer: 7\/1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 8:08 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 6*c**2 - 2*c - 6. Let r be w(-6). Suppose -5*s + r*h = 2*h - 24, -2*s - 5*h = -3. Suppose 2 = 2*m - 6*a + 4*a, a + 4 = 4*m. Is s less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r + 41. Let c(s) = s - 1. Let i(u) = 4*c(u) - n(u). Let t be i(15). Suppose 51 = 3*b - 21. Calculate the highest common factor of t and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 1. Suppose 6*g - 2 = 4. Let a be k(g). Suppose a*m = m + 115. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2211628 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**2. Let r(u) be the second derivative of 13*u**4\/12 - 43*u. Determine r(j(z)).\nAnswer: 208*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 381*p - 207 + 946 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from moommmso. Give prob of picking 1 m and 3 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 4\/9*v**2 + 2 - 7\/30*v**5 - 8\/9*v**3 - 2*v + 41\/54*v**4. Let b(i) be the first derivative of s(i). Let b(w) = 0. What is w?\nAnswer: 2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 40*n - 44.\nAnswer: 4*(n - 1)*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 19*f**2 + 43*f - 27. Let w be h(21). Let u(b) = b**2 + 39*b - 278. Let d be u(-45). Sort 5, d, -2, w in decreasing order.\nAnswer: 5, -2, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 4*t + 36 = 0. Let m = -1 + t. Let o be (m - 2) + -4 + 2. Calculate the greatest common divisor of 28 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6720 and 1148.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 10 = -5*b, -4*b - 484*u - 48 = -488*u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 28*a**2 - 53*a + 34. Let i be f(26). Let g(u) = -u**2 + 10*u - 7. Give g(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3217 = 555*j - 34297 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 4*d + 71, 0 = -d - 4*d + 20. Suppose -3*y + j = -10. Let t = 12 - y. Solve -t*q = -5*c + 20, 3*c - 5*q + 4 = 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 239 + 749 = 0. Let v = -167 - h. Calculate the highest common factor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*d + 5*u, 0*u + 48 = 2*d + 4*u. Let q = d + -67\/3. Let l = -10 - -15. What is the third biggest value in -3, q, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*d + 5*h, 0*d + 2*h = d - 3. Let q(u) = u**3 + 4*u**2 - 6*u - 7. Let r be q(d). Let m be 27\/18 + (-11)\/r. Which is smaller: 9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 20 = -2*y. Suppose 0 = 2*g - 3*g - y*w - 9958, -3*g - 29924 = 5*w. Let n = -159631\/16 - g. What is the common denominator of n and 41\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 8*x**2 + 21*x + 12. Let h = -100 - -87. Is 8 a factor of g(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1022 - 1100131113212?\nAnswer: -1100131112130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14434407751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131750603?\nAnswer: 241, 546683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0224237216 to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16893800 a multiple of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315143 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -4 (c) -8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*b + 19*b + 14*v + 340, 5*v + 105 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11+5.79\nAnswer: 16.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 26270235?\nAnswer: 52540470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 822883434 a multiple of 1041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**3\/3 - 2895*t**2 - 431200*t - 50464000\/3 = 0.\nAnswer: -1577, -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 48\/7*v**2 + 128\/7*v**3 - 20\/7*v**5 - 12\/7*v**4 + 0 = 0. What is v?\nAnswer: -3, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m. Let g(x) be the third derivative of -x**8\/1680 - 11*x**5\/60 + 22*x**2. Let t(r) be the third derivative of g(r). Give u(t(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w + 0*w)*(3*w + w - w)*(738 - 369 - 345).\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*p + 1 = 4, 0 = -2*a - 4*p - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Suppose 42 = k*j - 3*a, 2*a - 16 = 6*a. Let r = 20 - j. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 4*y + 3. Let n = -1 - -3. Suppose n*s + 3*p + 2 = 23, 4*s = -3*p + 27. Does 9 divide v(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -110295 greater than or equal to -110294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -49415551 greater than or equal to -49415562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = v - 2 - 37, 4*g - v = 33. Suppose 11 - 31 = 3*t - 5*b, -2*t = -2*b + 20. Let z = -10 - t. What is the least common multiple of z and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/64 of a millimeter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 623911 + -434682. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*f + 111*f + 700 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 7:46 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -0.6. Let v = -10.24 + 5.24. Let n = v - k. Which is smaller: 1\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*d - 245*d - 48*d)*(-2*d - 2*d + d) + 4*d**2 - 3*d**2 + d**2 + d**2 + d**2 - 3*d**2 + (2*d + 0*d - d)*(-2*d + d - d) - 5 + 5 - 3*d**2.\nAnswer: 755*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -719 + 769. What is the remainder when 534 is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51547876 > 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -31, -3, 29, 65, 105?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 12*b**2 - 3*b - 13. Suppose 0*n + 2*n + 3*d - 33 = 0, 4*n + 2*d - 54 = 0. What is the common denominator of z(n) and -8\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 9*m = 0. Solve m = 2*n - n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2260940634 + 5?\nAnswer: 2260940639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.142, -3\/4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.005*-328.\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -114376555 - 0.5\nAnswer: -114376555.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 9. Solve -l = -r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2515.\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -120 + 0*p + 101 - 7*p + 2*p + 3*p. Let k be 11\/(-2)*(1 + 1). Let l be i(k). Solve 0 = -5*r + 4*g + 7, -6*g + l*g = -5*r + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**6\/10 + 5*z**3\/3 + 12*z - 7. Let k(q) be the first derivative of w(q). What is the second derivative of k(f) wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1462.96 - 1430. Let r = q - 32. What is r rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - q)*(-3*q + 2 - 2)*((1 - 4 + 4)*(0 + 3 - 1) - 3 + 2 + 3 - 4 - 3 + 5 + 1 + 3 - 3).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -699842503.\nAnswer: -699842502.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + (2 + -1 - 2). Let h(v) be the second derivative of v**4\/12 - v**3 + 7*v**2\/2 + 4*v. Determine h(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131543261 is divided by 11958477?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1008)*1 - 2*sqrt(1008)*-4)**2 + -1*(-2 + 3*sqrt(1008) - sqrt(1008)))*-6*-5.\nAnswer: -720*sqrt(7) + 2449500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 17. Suppose -2*p + 0 = 4. Let b be (-1 - 2\/p)\/1. What is the units digit of w(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -403*m + 1597. Determine x(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*t**3 - 3*t**2 - 113*t + 113*t to the form u*t**3 + k*t + a*t**2 + g and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20651 + 7517 - 19354 = 524*i for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 510\/(-370)*20424\/(-828).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (1 + (-3 - -1) + 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61a - 12?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 53*s**3 - s + 5. Let q(l) = -26*l**3 - 2. Suppose -345 - 330 + 719 = -22*m. Calculate m*f(k) - 5*q(k).\nAnswer: 24*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t = -5*t - 328. Differentiate 15*l**4 - 14*l**2 + l**4 + 63 + 6*l**2 + t*l**2 with respect to l.\nAnswer: 64*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdjojsdzz. Give prob of sequence do.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160\/381 + 1021\/1524. Let 1 + p*a**4 + 13\/4*a**2 + 3\/2*a**3 + 3*a = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3254147?\nAnswer: 13, 53, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-2)\/182)\/(12*420\/3528)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59719084*u**3 + 30*u + 584731 wrt u.\nAnswer: 358314504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/49 in 1\/5, 60, 1, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 339.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 185.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3277 and 27181514.\nAnswer: 27184791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -8) + 2 + 2 + -15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**2\/2 + 15*q - 61. Let g be x(3). Solve 3*c - 3*v + g = -0*c, 2*v = 3*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340 = 14*l + 312 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -167*c**4\/2 - 271*c**2\/2 + 20. What is the second derivative of k(r) wrt r?\nAnswer: -2004*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 - (7 - (-10 - (-18 - (-12 - -10 - 11))))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000227068001 rounded to 6 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*u - 553*u + 828*u + 928*u in the form q + w*u and give w.\nAnswer: 1301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nphpphh. Give prob of sequence pph.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10230190072193451107\/591390 - 17298550993756. Let j = q - 2\/98565. Find the common denominator of j and 2 - 6*(-29)\/(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 695464 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199822 is divided by 2896.\nAnswer: 2894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1699, -1752, -1833, -1954, -2127, -2364, -2677, -3078?\nAnswer: -3579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -231\/115 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-720390)\/(-27) - 10\/90 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfvv when four letters picked without replacement from vvofvofo.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224788131 and 1035?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.3 * -35.631.\nAnswer: 153.2133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyzyzyyy. What is prob of picking 4 y?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-913)\/(-21) - 3)*6\/(-4). Let a = z - -61. Factor a*q - 8\/7*q**3 - 6\/7*q**2 + 0.\nAnswer: -2*q*(q + 1)*(4*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 2897312 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(3)*1).\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)\/f*f**(-6)*f)**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68045504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 350.9248nm to millimeters.\nAnswer: 0.0003509248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -6. Suppose g + 1 - c = 0. Suppose -3*h - 10 = 2*n, -g*h - 11 = -3*n - h. Which is smaller: n or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Suppose 7*q - v*q = -4*o + 14, -5*o = 3*q - 11. Put q, -2, 5 in descending order.\nAnswer: 5, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + 4 + 5 + 53 + -77.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 0.4, -3.4, 157, -14?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millimeter in micrometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**6)**(7\/5))**(-1\/6))**(-2\/17))**(-7\/9) assuming l is positive.\nAnswer: l**(-98\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 23*w**2 - 5*w - 5877. What are the prime factors of n(57)?\nAnswer: 3, 5, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80262.243 minutes to days.\nAnswer: 55.73766875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 56*g**2 - 140*g - 88.\nAnswer: -4*(g + 1)*(g + 2)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-9) + 3285\/405. Solve 0 = -d*o + 24*o - 48 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685297627?\nAnswer: 7, 23, 4256507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u**2 - 5*u + 297. Let w(o) = 2*o**2 - o + 79. Let t(m) = 4*d(m) - 15*w(m). Let b(c) = -2*c**2 - 4*c + 4. What is -3*b(x) + 2*t(x)?\nAnswer: 2*x**2 + 2*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/16, 4, 38\/3, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 228726247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 1. Let b be h(-9). What is the nearest to 1 in b, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + 2. Let q = 24 - t. Suppose 272 = 5*g + 2*a - 6, -170 = -3*g + 2*a. Calculate the greatest common factor of g and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + -59 + (155 - 2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*j = -248*j - 1569 - 1253 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259709, 519416, 779123, 1038830, 1298537, 1558244?\nAnswer: 1817951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0)*(-669 + (4 - -4)). Let t = -558 + j. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.804939 centuries?\nAnswer: 980.4939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40916.03 - -40916. What is the closest to 7 in q, -0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125655 and 1859694.\nAnswer: 9298470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deeeedeeddeddddedee. What is prob of sequence ede?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8488*0.4.\nAnswer: -0.33952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10362, -6540, -168, 8754, 20226, 34248?\n\"Answer: 1275*w**2 - 3*w - 11634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(931) - sqrt(931)*1) + (-4*(-3 + sqrt(931)))**2)*-2 + -3.\nAnswer: -30083 + 1344*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -94 (b) 2\/17 (c) -0.5 (d) 1\/3 (e) 3 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24308)\/590 + -42 - -78?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-120)\/135)\/(4\/(-18)) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347580 is divided by 24698?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*x - 85*x - 73*x + 685 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(245) + 3 + -5.\nAnswer: 3 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 3 - 14*h + 1)*(246 - 210*h - 246).\nAnswer: 1470*h**2 + 420*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**5\/24 + 47*n**4\/24 - n**3 + 10. Let b(p) be the third derivative of c(p). What is the units digit of b(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-8) + 1\/(-2). Let b be (4\/5)\/((-2)\/(-25)). Suppose v = -g + 6*g - b. What is the least common multiple of g and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362562 (base 10) to base 12.\nAnswer: 155996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 411 - 146 = 5*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 48. Suppose 5*v = 3*q + 175, -2*q - q = -v + 23. Let i be 2\/9 - v\/9. What is the third smallest value in i, g, 5\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7432.1 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -21. Differentiate -b + o + 1 + 4 with respect to o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 36 + -27 + -11 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**5 - 52902*l**4 - 476274*l**3 - 1534824*l**2 - 2064177*l - 952722 = 0?\nAnswer: -3, -2, -1, 17643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 19. Suppose a = 3*z + 3*u, 4*z - 3*z = u - 4. Suppose -3*m + z*m - 15 = 0. Let k(s) = -s**2 - 4*s + 1. Determine k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142004385 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {f: 2, e: 6, p: 2, h: 4, l: 1, r: 2}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-10) + -1)\/(-34 - (-28546)\/840)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*r = 17, 0 = -3*o - r - 3*r + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7353 + 7352.5. Sort -2, k, 1, 2, 0.4 in descending order.\nAnswer: 2, 1, 0.4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13088*u - 2846*u**3 + 2844*u**3 + 13088*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1047000 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6854)\/5568 - -5) + (-6)\/2. Let h = -241\/96 + b. Find the common denominator of h and -62\/5.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 y when four letters picked without replacement from kykykyyy?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190 - 358 + 409)*(-3*q + 4 - 4)*(1 - q**2 - 1).\nAnswer: 723*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 - -56. Put -2\/13, s, -4 in descending order.\nAnswer: -2\/13, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*1\/4 + 13651\/34. Suppose -5*d = -1354 - n. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 a, and 1 y when three letters picked without replacement from pddypa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert c5 (base 15) to base 11.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 190979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**3*k*w - 1651*h**3*k + 1731*h**3 + 1085*h**2*k*w - 47*h**2 + 7*k*w wrt h.\nAnswer: 6*k*w - 9906*k + 10386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/7)*h)\/(h**(-2\/7)\/h))**26 assuming h is positive.\nAnswer: h**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*a - 276*a - 144 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q - 10 - 5*q**2 + 12*q + q**3 + 9. Calculate o(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5 + 1 = 0. Let s be (-1 - -2)*(5 - i). Suppose 38 = 4*h - s. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) 0.15 (b) -4 (c) -60 (d) -2 (e) -3\/16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 17.22. Let u = o + -0.2152. What is u rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 787*b - 789*b + 3*j + 1, -2*b + 0 = -2*j + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -15*t**3 + 13*t - 9. Let c(o) = -4*o**3 - 23 + 6 + 6*o + 13 - 3*o**3. What is -13*c(d) + 6*z(d)?\nAnswer: d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) 0.4 (b) -303\/4 (c) 9 (d) -0.5 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -9*c - 0*l + 44, 806*l + 21 = -9*c + 809*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/706 and 75\/1412.\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -15*p**2. Let y(n) = -8*n - 4*n + 0*n + 11*n. What is y(m(r))?\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/629 and 21\/3145?\nAnswer: 3145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.558 rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640 = 3*h - 7*h. Let w = h + 321\/2. Let s be (-2)\/10*5\/2. Which is the third biggest value? (a) 5 (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3181361 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**3\/3 - 252*u**2 + 754*u\/3 = 0.\nAnswer: 0, 1, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 12*g + 17. What is t(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 154680?\nAnswer: 464040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 853047 by 38.\nAnswer: 853047\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286821420 is divided by 11585.\nAnswer: 11575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -48347, -96734, -145121?\n\"Answer: -48387*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/(1\/(-6)). Let l be -1 - a - (0 - -2). Factor l + 2\/7*g**2 + 0*g.\nAnswer: 2*g**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -607 - -762?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318.3 rounded to the nearest ten?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - h)*(52 - 52 - 10*h) - 7*h + 3*h**2 + 7*h + (-4*h + 4*h - h)*(-1 - h + 1) + 0 + 2*h**2 + 0.\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 716*j**5 + 2*j**3 - 13*j**2 + 1716571*j?\nAnswer: 14320*j**3 + 12*j - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:46 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 464316 - 170316. What is x rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2\/7 + 160*x\/7 + 162\/7 = 0.\nAnswer: -1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -24*s**2 - 25. Let k(t) = 24*t**2 + 26. Let c(b) = 4*k(b) + 5*l(b). Let h(i) = -i**2 - 1. Give 2*c(v) - 42*h(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -1200, -4056, -9612, -18768, -32424?\nAnswer: -51480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -544339\/4 or -136085?\nAnswer: -544339\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 104*k**2 - 17. Let y(r) = -2*r. Give t(y(a)).\nAnswer: 416*a**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/60 - ((-134)\/10 - -2). Suppose 5*z + 216 + 1094 = 0. Is (1\/(-2))\/(f\/77)*z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 6*k - 5. Let h be (-2)\/11 - 62\/22. Let y(l) = -2*l. Let r be y(h). Is u(r) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -28.6.\nAnswer: -85.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*p = -65*p + 100. What is the remainder when 71 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(20 + -13 + -5 + -14). Solve o*l**3 + 4\/3*l**2 - 1\/3*l**4 + 0 - 4\/3*l = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8499 + 1216 = 5*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-93535)\/(-7*(-60)\/(-168)).\nAnswer: 2, 13, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -10*o. Let h(a) = -15*a**2 + 10. Let f(z) = -5*z**2 + 3. Let k(m) = -10*f(m) + 3*h(m). Give b(k(v)).\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 15*l + 3*k = -323, k = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017544 to 6 decimal places.\nAnswer: 0.001754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000046 is divided by 748?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*m + 415 + 108*m + 2*m**3 + 112*m + 109*m.\nAnswer: 2*m**3 + 415","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(2*b - 6*b + 2*b) - 2*b + 3*b - 3*b + (-3 - 3 + 4)*(-3*b - 2*b + 4*b) + b + 0 + 0 + 4*b - 15*b - 3*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 611*w**4 + 786 with respect to w.\nAnswer: 2444*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2. Let o(d) = -31789*d. Calculate z(o(s)).\nAnswer: 1010540521*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from ucwnwtc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 10*h**2 + 3. Let v(b) = 11*b**2 + 3*b + 2. Let r be v(-1). Let a be y(r). Put a, -4, 7 in descending order.\nAnswer: 7, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6445 * 0.4.\nAnswer: 2578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*17614.\nAnswer: 3522.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from {j: 2, r: 1, n: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**3\/4 - 30*a**2 + 117*a - 1064. What is p in x(p) = 0?\nAnswer: 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 31*j + 7430. What is p(-240)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.866209 - 0.014791. Let d = -0.119 + c. Put 5, d, -2, 2 in descending order.\nAnswer: 5, 2, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r. Let o(w) = 14*w**2 - 8*w - 11. Let h(l) = 5*l**2 - 2*l - 4. Let k(t) = -8*h(t) + 3*o(t). Let j = 3 + 1. Let y be k(j). Give g(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190886 (base 10) to base 3\nAnswer: -100200211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 44555531 (base 6) to base 3\nAnswer: 2112201222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1113111 - 30021302?\nAnswer: -22302131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 26789327.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46267447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 119090 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/24)\/(14\/(-147))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22672683 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - g + 831 = -2*g, -5*f - 4*g = -4173. Let b = -492 + f. What are the prime factors of b?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((108\/(-78))\/(-3))\/((-284)\/923*(-28)\/16).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 0*y)*(-3*y**3 - y**3 - 6*y**3) - 5*y**4 + y**4 + 3*y**4.\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -20. Let h be d\/(-6) - 2*3\/(-6). Solve 0 = -h*z - 2*k + 3*k - 18, 0 = 2*z - 4*k + 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/5, -5, -2\/1865, 5?\nAnswer: -2\/1865","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*i**6*y - 2733593*i**6 - 13*i**2*y + 11*i**2 + 2*i*y - 3719*i + 3*y - 1 wrt i?\nAnswer: -4560*i**3*y - 328031160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1924\/69, 99, 3, -5?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 10*y**2 + 8*y - 9. Let b be j(-9). Let x be (b - 3) + -22 + 10. Let q be 1 - (x - (-3 + -1)). Solve -i + q = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 257*s - 1565. Calculate b(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1968 - 1942. Which is greater: i or -22?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27512, -55128, -82748, -110378, -138024, -165692, -193388, -221118?\n\"Answer: -s**3 + 4*s**2 - 27621*s + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.56482 to one dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*v - 4, 2*z + 4*v = 2. Let g = 18 - z. Let s = 10268 - 10221. Calculate the remainder when s is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*y + 84*y - 271*y + 88*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 172 = 4*f, -3*f - 4*m = 87 + 42. Let d = 67 + f. Let g be (-20)\/(-25) + d\/(-5). What is the second smallest value in 1, -1\/5, g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 31*h + 26*h - 2 to p + g*h and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156)*-5 + sqrt(156) + sqrt(156) + 1*(-2*sqrt(156) - sqrt(156)))\/(-5*(-6*sqrt(192) + sqrt(120)\/sqrt(40)))*-2.\nAnswer: -36*sqrt(13)\/235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 + -3. Let u(t) = -2*t**2 - 7*t + 1. Let d be u(-4). What is the closest to 0 in d, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/224 and -151\/389058?\nAnswer: 43574496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365 (base 8) to base 14.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*c - 6 + 10*c + 5*c**3 wrt c.\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1471852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -9*c**2 + 3*c. Let n be s(-1). Let p be n\/(-18) + 20\/(-12). Is 10 a factor of p - ((-1)\/(-2))\/((-17)\/850)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2 - 10*h + 27. What are the prime factors of v(8)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from gqrgqqrgqrqg.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*z + 28 = 7*z, -5*z = -4*y + 37. Suppose y + 1 = 3*i. Suppose i*c = 2*c + 64. What is the greatest common divisor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 602*x - 48 = -598*x, 0 = 4*v - 5*x + 22 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/7 - 762*m**2\/7 + 142848*m\/7 + 884736\/7.\nAnswer: (m - 384)**2*(m + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssdssssssds. What is prob of sequence sss?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-2) - -6 - 9. Let a be (-40)\/t + 4\/(-6). Let v be (-4*(-3)\/a)\/1. Put 5, -1, v in increasing order.\nAnswer: -1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48815866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 553626974 and 6.\nAnswer: 1660880922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106273393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiliilil?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13 + 7 = 0. Suppose r*m - 134 = -6. What is the derivative of 23*i - 12*i - 20*i**3 - m - 11*i wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 0 - 2\/297*560. Let a = -2\/297 + b. Factor 2\/9*c + a*c**2 + 0.\nAnswer: 2*c*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from sdmsxmudbdbbs.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.771 + 35.529. Which is bigger: -3\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*g + 6 - 20, -3*f - 4*g + 22 = 0. Put 3, -3, f in decreasing order.\nAnswer: 3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**3 + 3\/2*u**2 + 1 + 0*u. What is the second derivative of b(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(3 + -1) - (-2 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26844254*r - 15648437 wrt r?\nAnswer: -26844254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -229*r**2 + 1367*r + 12. Determine z(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*2898.\nAnswer: -869.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2*k**4 + 13*f**2*k**2 + f**2 - 3*f*k**4 wrt k.\nAnswer: 24*f**2*k - 72*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/19 - 7\/76. Let d(y) = y + 14. Let r be d(9). Suppose 5*v - r + 8 = 0. Which is the closest to n? (a) 0.4 (b) v (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6509264021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 10 - 14. Let z be 34*2\/(p\/(-22)). What is the greatest common factor of 17 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6098, 12465, 19104, 26015, 33198?\nAnswer: 40653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + 49. Is k a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8788.86 rounded to the nearest 100?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 401, 1, 0 in increasing order.\nAnswer: 0, 1, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a93 (base 12) in base 7?\nAnswer: 12363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 2. Let a be s(-4). Let i(f) = -4 + f + f**3 + f + 4*f - 7*f**2. Determine i(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34613 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 18, c: 1}. What is prob of picking 4 g?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 873.8103 kilometers?\nAnswer: 873810300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (-2 + 10)\/4. What is the third derivative of 16*w**4 + 0*w - 8*w**b + 0*w + 0*w wrt w?\nAnswer: 384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 44*i**2 + 78*i - 195. Calculate the remainder when o(-42) is divided by -1 - 238\/21*-3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:42 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 78\/(-4)*(-10)\/3. Suppose -7*i - 2 + 184 = 0. What is the greatest common factor of i and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 376, 1236, 2914, 5818, 10356?\n\"Answer: 68*l**3 + l**2 + 381*l - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 401425899 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00121196898 to six dps.\nAnswer: -0.001212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = -n + 139 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 - 4. What is d rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 6.3. Let p = 47 + -12. Let t = p + -34.9. Which is the closest to t? (a) -2\/17 (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/140 and 0 - (1066\/2009)\/(12\/35).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - (79 + -87 - (-20 - -3)) - -19.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**5\/20 - 5*f**4\/12 - f**3\/6 - 4*f**2 - 2*f. Let b = 39 - 27. What is the remainder when c(6) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2305 - -2350. What is the common denominator of t and -76\/231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (sqrt(7) - (sqrt(7) + sqrt(63)\/sqrt(9))) - (sqrt(63)*-1)**2).\nAnswer: 6*sqrt(7) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*p + 5*p - 16*p + (p + 1 - 1)*(-3 - 2 + 3).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = 0. Let o(z) = g*z + 2 + 8 + 0*z - z. What is the units digit of o(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 1, f: 4, j: 3, v: 4}. Give prob of sequence jgf.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50020 and 182146?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 783219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-1)\/1)\/(5\/700*28))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 212 = -4*x, 3*x + 141 + 42 = -3*b. Let i = 73 + b. Suppose i*o = 5*o - 658900. Round o to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -21402?\nAnswer: -21401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 24185 + 2156 = 0. Does 31 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -1013?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29588.029 rounded to the nearest integer?\nAnswer: -29588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.96 + -0.04. Let o = s - -4. Which is the closest to 0? (a) 0.4 (b) 2\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 3*o - 2. Let d be u(-4). Let j(c) = c**3 - 2*c**2 - c + 4. Let t be j(2). Solve 0 = -w - t, 17 = x + d*x - 4*w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/((-13)\/(-416)). Suppose 0 = -r + 12 + p. Calculate the remainder when r is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*g + 60729, 5*d + 3*g + 101210 = -2*g. Let j = d + 364525\/18. What is the common denominator of j and -43\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d6c - 1?\nAnswer: -d6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c, -5*h + 0*h - 4*c = -10. Let b be 0*((-18 - -20) + (-3)\/1). Solve -6 = -3*i + h*p - b, -p = -5*i + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(405)\/(sqrt(9)*5) + ((sqrt(245) + sqrt(245) + 1 + sqrt(245) + -1)*-2)**2)*2.\nAnswer: 24*sqrt(5)\/5 + 17640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33772484?\nAnswer: 2, 8443121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 729702 - 525385349\/720. Find the common denominator of -29\/480 and o.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1475, -2946, -4417, -5888, -7359, -8830?\n\"Answer: -1471*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9359 - 4956 = -119*b for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*l = 17*l + 76*l - 2110176. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12951.9348 + -4.03.\nAnswer: -12955.9648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, j: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -186 + 562 - 192 + 182*w - 184 to the form m*w + b and give m.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -81786148940?\nAnswer: -81786148935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**4\/26 + 2*g**3\/3 + 46*g**2\/13 + 64*g\/13 - 117. Factor d(w).\nAnswer: -2*(w - 16)*(w + 1)*(w + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3477, 3455, 3399, 3303, 3161?\nAnswer: 2967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 3*o**2 + 2*o**2 + (0 + 2*o + 0)*(0*o - 2*o + 4*o) + o - o + 2*o**2 - 2*o**2 + 2*o**2 - 2*o**2 - 1 + o**2 + 1 + 2*o - 26*o**2 - 71*o**2 - 2*o.\nAnswer: -90*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v - 193 = -3*u, -2*v - 203 = -3*u. List the prime factors of u.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**2\/2 - v - 2. Give r(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-204))\/(2\/8) - (-50)\/(-105)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*v = 3*v + 13, 5*v = -4*b + 25. What is the third derivative of d**6 - 8*d**2 - 3*d**6 + 3*d**2 - b*d**6 wrt d?\nAnswer: -1440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 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: Solve -54*f - 18*f = -144 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 353739299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 20. Suppose h = f + 63. Suppose 0 - 2 = -2*r. Solve -f*g = 5*o - 30, r = 4*g - 4*o - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 143, 181, 255, 377, 559, 813, 1151?\nAnswer: 1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 5*t - 3. Let w be i(-6). Suppose -20 = -w*x + 4. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33366 (base 10) to base 3\nAnswer: 1200202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from pnfsnnnnfnsspnfn?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1244 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 468123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-600)\/30*(-1)\/((-15)\/2)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 372*l + 187*l + 190*l + (0 + 2 - 3)*(5 - 4*l - 5).\nAnswer: 9*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169731 + -81682. Suppose -52*m = -39*m - p. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15a + 3?\nAnswer: 15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -0.39 (c) -12\/559 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let i be 0\/s*(-2)\/(-4). Suppose i = z - 0 - 3. Solve 2*c + a = 2*a - 14, 23 = -z*c + 2*a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**6\/360 + r**5\/40 + r**4\/12 - r**3 - 11*r + 60. Let q(o) be the third derivative of u(o). What is q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/((-1)\/(-11)*-6). Let p = -1235\/48 - f. Let n = -2.8 - -3. Is n < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64775 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - 60 - (1 - 1 - 36)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8049?\nAnswer: 3, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + i = -13, 5*i + 8 + 6 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -153, -8, -9, -1.\nAnswer: -153, -9, -8, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 9116*m - 9120.\nAnswer: 4*(m - 1)*(m + 2280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-3*c**2 - 3*c**2 + 4*c**2) + (71 - 71 + 3*c)*(4*c - 4*c - 3*c) + 5*c**2 - 4*c**2 + 2*c**2 to s*c**2 + k + m*c and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 8668*y - 202211 + 404419 - 202208 as r + b*y and give b.\nAnswer: 8668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -287*c**2 - 519*c**2 - 257*c**2 as f*c + q*c**2 + r and give q.\nAnswer: -1063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwppv. Give prob of picking 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5171, -20728, -46661, -82976, -129679?\n\"Answer: -z**3 - 5182*z**2 - 4*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 + 0 + 13*d + 2 + 2 - 2*d - 10*d to the form l + j*d**2 + u*d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q - 9. Let u be w(-5). Let a = u - -26. Solve -3 = -3*x, -4*s + x + 17 = a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g - 4*g)*(2*g + 2 - 2) + 2 + 2*g**2 - 2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + -2 - (68 - 66)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73\/2 - 36. Let l(h) be the first derivative of 0*h**3 + c*h**4 + 0*h**2 - h + 3. Determine l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1)**0\/(i*i*i**(-2\/7))**3)**(-1\/73) assuming i is positive.\nAnswer: i**(36\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7151 + 7146. Let h = -117\/88 + 16\/11. Which is the fourth biggest value? (a) h (b) z (c) -5\/17 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - 29*w**2 - 16*w + 13. Let r be q(15). Let x(p) = -p**2 - 4*p + 2. Let s be x(-5). Put s, 2, r in ascending order.\nAnswer: s, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 12, u: 3}. What is prob of picking 4 a?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442231739?\nAnswer: 442231739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1250*j**2 - j - 1. Is 17 a factor of c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1672\/9 - -186. What is the second smallest value in c, -2, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.35 from -28.84417774.\nAnswer: -32.19417774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 r, and 1 e when four letters picked without replacement from eeufpenrfefr.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**4 + 351078*g**3 - 16*g**2 + 135*g - 149 wrt g?\nAnswer: -48*g + 2106468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -7*b + 2*b - 17, 5*d = b - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -177 - -107. Let d be 762\/m + (-3)\/(-5) + 3. Which is greater: d or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2759 is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1249781*c + 2499522*c - 1249750*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-263 + 1)*(30\/20 - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222002 + -20?\nAnswer: -1222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 6644353?\nAnswer: -1993305.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 527 divide 130131441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j**3 - 5*j**5 - 7*j**3 - 2*j**4 + j**5 + 2*j**4 + 0 - j**5 + 0 + (-j**4 - 3*j**4 + 2*j**4)*(3 + 2*j - 3) - 2*j**5 - j + j - j**5 + 0*j**5 + 0*j**5.\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14596 + -14557 - (-2 - -1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19474980.98098005 + -19474980. Let n = m + -0.981. Round n to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119899899, 239799792, 359699685, 479599578, 599499471?\n\"Answer: 119899893*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1154, 2307, 3564, 4979, 6606, 8499, 10712, 13299?\n\"Answer: 9*f**3 - 2*f**2 + 1096*f + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqqqhrqh. What is prob of sequence qqrh?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*l + 25 = 0, 60*l - 61*l = -4*c + 100. What is the closest to -0.1 in -3\/2, c, -2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5, 2\/7, 1\/4, 4, -32.6 in decreasing order.\nAnswer: 4, 2\/7, 1\/4, -1\/3, -5, -32.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - 3*j**2 - 2*j + (-16 + 0 + 41)*(2*j - 2*j - 2*j)*(-2*j + 3*j + 2*j).\nAnswer: -153*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**3\/3 - c**2\/2 + c - 2. Let x(b) = b**3 - 2*b + 2. Let a(g) = x(g) - 2*y(g). Find the third derivative of a(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 5*x**2 - 4*x - 1. Let s be y(3). Suppose 0 = -4*a + s*a - 30. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-70)*0\/(1\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 254\/7. Let d be 348\/2233 + (1 + 0)*(-6)\/14. What is the closest to -1\/3 in k, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.5 (b) 4 (c) 0.106792\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + z + 348. Let f be r(0). Let g = f + -2430\/7. Suppose -2*j + 3*p = -7, 7*j - 10 = 2*j + 5*p. Which is the biggest value? (a) 3 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*f + 605*f + 3965 = -357*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -5, 2\/5, 1\/12, 36\/17, 1.4 in increasing order.\nAnswer: -5, 1\/12, 1\/8, 2\/5, 1.4, 36\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764318778 to the power of 1\/2, to the nearest integer?\nAnswer: 52577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*i - 273529, -364*q = -369*q - 5*i + 273565. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 4*i + 7. Let d be 37\/5 + 14\/(-35). Let z = 15 - d. Is 13 a factor of b(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -498.746 - -498. What is the closest to 1 in o, 1, -2\/11, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 838.8 * -0.4.\nAnswer: -335.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4208 and 81563927?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = g, 5*a - 4*a - 5*g - 29 = 0. Let s = -44 + a. Suppose s*w - w + 2*d = 29, -3*w - 3*d - 42 = 0. Is w < -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2. Let r(c) = -11995*c + 1. Calculate h(r(l)).\nAnswer: 287760050*l**2 - 47980*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + a85?\nAnswer: a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 + 128*s**2 - 268*s + 136.\nAnswer: 4*(s - 1)**2*(s + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 5. Let b = 10 + r. Differentiate -8 + 2*c - b + 7 wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - k + 769 = 3*o, -2*o - 4*k + 754 = 0. Suppose 3*u + 0*u = o. What are the prime factors of ((-6)\/(-9))\/(2\/u)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0222507 decades in years?\nAnswer: 0.222507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 2*w + 3 + 7, -4 = 4*w - 2*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 585.586\nAnswer: 58.5586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 3:57 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/135 and 1\/10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 29344, -2 in decreasing order.\nAnswer: 29344, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(243) + sqrt(243)*1 + 1 + sqrt(243)) + 5 - (sqrt(243) + sqrt(243) + 0 + -4 + 5*(sqrt(243) + -2)))**2.\nAnswer: -378*sqrt(3) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*l + 5 = 0, -4*m = -57*l + 56*l - 32. Solve -3*w - 20 = m*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 41. Suppose 50 = -5*c - v, 0 = 5*c - 4*c + 4*v - 9. What is the least common multiple of f(15) and c\/(-2)*1*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a century in years?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by 74.\nAnswer: 63\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**3 + 51*u**3 + 42*u**3.\nAnswer: 77*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -81. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 3) to base 11.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3197 - -12244. Let s = 16497 - b. What is s rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100110010000100001 (base 2) to base 16\nAnswer: -26421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 28, 33, 40, 49?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 0, 37.8, -538\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p**2 + 2*p - 2. Let k be j(2). Suppose -5*u + 31 = -k. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**3\/2 + 1999*y + 2. Let o(d) = d**2 - 285. What is x(o(a))?\nAnswer: -3*a**2 + 855","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, -34, -27, -18, -7, 6?\n\"Answer: i**2 + 2*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -246421.13 to the nearest 100.\nAnswer: -246400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 3*o - 44. Let c be x(11). Calculate the greatest common factor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 271*o**3*z**2 - 11579*o**3*z - 150*z**2 - 15*z wrt z.\nAnswer: 542*o**3 - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492*y + 9753 + 16257 = 86*y. Calculate the smallest common multiple of y and 5331.\nAnswer: 79965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -41\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 168255214*y - 49436024 wrt y.\nAnswer: 168255214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 0.4, 25, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -5.8. Let u = -1 + w. Let s(v) = -2*v. Let m be s(-2). What is the second smallest value in -4, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 7:26 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 345080305 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/15, 1\/2, 0.4, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2 (b) 2\/3 (c) -1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 9 = -53. Let i = -41 + z. Suppose 0 = -i*u - 0*u - 4*g + 164, 0 = u - 3*g - 59. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = -14*z + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -228 + 227.7. Let m be ((-63)\/11)\/((-1)\/(-19)). Let y = 109 + m. What is the closest to s in -0.4, -5, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 + 2 + 8 + -4 - (-18 - -8 - 2)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -27. Let h = 22 - x. Solve 6 = 3*r, 2*g + 3*r - h = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3241150945 - -483.5?\nAnswer: -3241150461.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 96323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(264\/2))\/(-8*17\/68)?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 380032 by 11876.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 + 7478*s**2\/3 - 279424*s\/3.\nAnswer: 2*s*(s - 37)*(s + 3776)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -25370.302 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**3*u**(-1\/31))\/(u**(-6))**(-2\/69) assuming u is positive.\nAnswer: u**(2705\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -909, -3331, -9869, -22569, -43477, -74639, -118101?\n\"Answer: -341*c**3 - 12*c**2 + c - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (40 + (60 - 42)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(343) - (5 + sqrt(343) + (sqrt(343)*2 - sqrt(343)) + sqrt(343))) + sqrt(343) + sqrt(343)) + 1 + -2*sqrt(1372).\nAnswer: -28*sqrt(7) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**5)\/((l\/l**(-1))\/l)*(l\/((l\/(l\/(l\/l**(2\/21)*l)*l))\/l))\/l**7 assuming l is positive.\nAnswer: l**(-19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/12237 + -45007721\/85659. Let u = d + 2868\/7. Let j = u + 116. Which is the third smallest value? (a) 1 (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2. Let v(x) = 107*x. What is d(v(b))?\nAnswer: -57245*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*y - 17, -3 - 11 = -3*y - 2*v. Suppose y*r + 8 = -0. Let z(k) = 3*k**2 + k - 1. What are the prime factors of z(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - 2*c + 25. Let u(m) = 2*m**2 - 2*m + 25. What is 5*a(r) - 4*u(r)?\nAnswer: 2*r**2 - 2*r + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0133 times -0.06163?\nAnswer: 0.000819679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 261*6\/9*2\/12\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12126*b + 905*b**3 - 12126*b.\nAnswer: 905*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - a**2 - 67650*a**3 - 3295*a**3.\nAnswer: -70945*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1620?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*t**4*w - t**4 - 7*t**3*w + 6*t**3 + 201*t**2 - 478*t + 5*w wrt t.\nAnswer: -600*t*w - 24*t - 42*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 20*t + 2. Let b(u) = 102*u - 32. Give -b(h) + 5*c(h).\nAnswer: -2*h + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/4875204 and -31\/108879556.\nAnswer: 326638668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -f?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 189*k**3 - 326*k**3 - 2 - 19*k**2 + 135*k**3 as a*k + q + m*k**3 + w*k**2 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -8. Let g = -5 + r. What is the closest to 3 in -0.5, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 54*b - 60. Let c be s(5). Let v be (-270)\/c*(-7)\/2. Sort v, 0, 3\/4, -2\/3 in decreasing order.\nAnswer: v, 3\/4, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 75 = -5*h - 7*q, 0 = -2*h - 5*q + 30. Calculate the remainder when 43 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1056)\/(-128) - (-29)\/(-406)*238\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*v)*(3*v**2 + 8*v**2 - 2*v**2) - v**3 + 2*v**3 - 2*v**3.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.097 and 0.3125679.\nAnswer: 0.4095679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 67848502 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007797 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 - -16dd?\nAnswer: 16f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4430 - 128016 = 1544*z - 7919*z + 109804 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**17*o)\/((o**(-2\/63)*o)\/o)*o\/(o*o**(10\/3)*o*o)*o**(-18))**49 assuming o is positive.\nAnswer: o**(-2338\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.299 + 0.001. What is the second smallest value in m, -4\/5, -0.04, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-30)\/6)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*n + 5 - 2 + (-2*n - 1 + 1)*(-3 - 2 + 6) + 1955 - 1955 - 113*n + 5 - 5 + n.\nAnswer: -112*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1841, -1819, -1775, -1703, -1597, -1451, -1259?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5 + 16. Let n(x) = -1 - 1 + 3*x - 4*x + 17. List the prime factors of n(a).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1761607, -5 in increasing order.\nAnswer: -5, 6, 1761607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 66. Suppose -g*v - 21 = -16*v. Suppose 2*w - 199 = -3*k, -w - 9 = -v*k - 104. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4956 + -2783. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u**2 + 149*u**2 + 42*u**2.\nAnswer: 157*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -28\/5 (b) 6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 3*u - 31, -23 = 16*c - 20*c - 5*u for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 + 101. Suppose 0 = -x - 4*s - 4, l*x - 5*x + 28 = 4*s. Suppose -u = f + 2, 0 = -2*u + 5*f - 9 - x. Round u to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/588*176)\/(3*(-2)\/9).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6978 - 6978.005482. What is f rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5770 by 2.\nAnswer: -2885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 204595 a multiple of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59911819 is divided by 64?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207459 and 14952.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 765018?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 168 = -7*b. Suppose 2*l - b = -5*l. Calculate the remainder when 35 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1043f (base 16) to base 2.\nAnswer: -10000010000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10\/3*h**2 + 0*h + 0 + 19\/6*h**4 - 49\/6*h**3 - 1\/3*h**5 = 0 for h.\nAnswer: 0, 1\/2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 50*m**2 + 379*m - 1900. Give g(-10).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 889863, -23.\nAnswer: -23, 0, 1, 889863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27154092 a multiple of 1988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or 13?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7688 and 1592?\nAnswer: 1529912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 90 = 5*n, -29 = -n + 13*w - 11*w. Let l = 28 + 257. Calculate the greatest common factor of n and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29585*n**3 - 29583*n**3 + 10 + 45 + 13.\nAnswer: 2*n**3 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234966 is divided by 2526?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 0 + sqrt(208) - sqrt(208) - sqrt(208))*-3)**2 - ((sqrt(208)*1 - sqrt(208))**2 + 2 + 2).\nAnswer: 72*sqrt(13) + 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18*((-20)\/6 + 3). Suppose 0 = -g*i - i + 14. Solve 3*l - 2*x - 2 = -x, 2*l - x - i = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -7*n. Suppose j = -f + 7, n = 5*j + 1 + 19. Suppose z + 3 = -x + 8, 4*x = -z + f. Solve -5*t + 6 = -x*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243 - 238. Let k(v) = 2*v + 5 + h*v + 0 - 4. Let t(r) = r**2. Calculate k(t(x)).\nAnswer: 7*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 304 and 2432.\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2674*u = 2660*u - 58, -2*u = -3*w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**3 + 5*u**2 + 2*u - 5. Let q(a) = 5*a**3 + 6*a**2 + 3*a - 6. Let b(i) = -4*n(i) + 3*q(i). Factor b(z).\nAnswer: -(z - 1)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 31\/3*d**3 + 0*d**5 + 0*d**4 - 25*d**2 + 0*d**6 + 0 + 0*d + 23\/105*d**7. Differentiate b(p) wrt p.\nAnswer: 184*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - -80. Let n be 3*7\/(h\/20). Let x be n - (141\/15 - 5). Put 19, x, 4 in ascending order.\nAnswer: x, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766631 a multiple of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 less than or equal to -1130936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -16190080 to the nearest one hundred thousand.\nAnswer: -16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 - 121 + 30 = -8*a. Let q be 1 + 0 + 29*6. Let m be q + (-1)\/(-1) + -1. What is the greatest common divisor of a and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (3 + 2) - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 33*h + 269. Let p be c(-15). Let d(a) = -a - 6. Let v(r) = -1. Calculate p*d(j) - 4*v(j).\nAnswer: j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q - 1. Let w = q + 6. Find the second derivative of 3*f + 5*f**5 + 7*f**5 - 6*f**w + f**5 wrt f.\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36624, 36617, 36610, 36603?\n\"Answer: -7*x + 36631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 83439.48 kilograms?\nAnswer: 83439480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 611169 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**2 - 4*k - 2. Let g be 3\/12 - 45\/20. Let t be w(g). Put -2, t, 5 in increasing order.\nAnswer: t, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1649 - 13255\/8. Find the common denominator of -15\/32 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.38 - -0.38. Let f = 109 + -111. What is the nearest to 2\/5 in z, -1\/4, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19537800 rounded to the nearest one hundred thousand?\nAnswer: -19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 0*d**2 - 5 - 5*d - d + 3 - d**2. Let g be b(-4). Let h(j) = -g*j + 11*j + 2*j. Let u(m) = -m**2. Calculate h(u(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 8*t**2 + 5*t - 11. Let n = 24 + -18. Let p be h(n). Calculate the greatest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -29*i + 793 - 79 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -9, -3*d - 19 + 4 = -i. Calculate the lowest common multiple of 473\/22 - (-2)\/4 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*3*(3 - (-28)\/(-12)). Put -5, 5, u in descending order.\nAnswer: 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*c - 3*c - 2*c)*(-2*c + 3*c + c) + 3*c**2 + 20*c**2 - 1 - 6*c**2)*(5 - 2 + 1).\nAnswer: 28*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 20 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 5*j = 4*y + 185, -415 = -4*y - 5*j. Let k be (8\/y)\/(3\/(-5)). Let c = -1.4 - -0.4. Sort 3\/2, c, k in decreasing order.\nAnswer: 3\/2, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36101146 + 32525.\nAnswer: 32525.36101146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3 - (8 + 31) - (20 + 61 + -69)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5*5\/25)\/((-5)\/(-495)) is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73948604 to the power of 1\/2, to the nearest integer?\nAnswer: 8599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from {b: 4, y: 4, o: 9, w: 2}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -62*r**2. Let b(f) = -f**2. Calculate b(c(i)).\nAnswer: -3844*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 152*h = 154*h + 10, -3*h = 4*s + 45 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 688 and 25933816?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(272) - (sqrt(272) - (sqrt(272) - (sqrt(272) - (-3*sqrt(272) - sqrt(272))))*1))**2.\nAnswer: 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -11, 13, 65, 151, 277, 449, 673?\n\"Answer: m**3 + 5*m**2 - 20*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 268?\nAnswer: 26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002541124 rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 divided by 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 4\/(1920\/(-935)). Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/42)\/((-52)\/(-28)). Let g = -1 + 1.5. Which is the smallest value? (a) g (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196718573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289866912?\nAnswer: 2, 3, 233, 12959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 42.53816m?\nAnswer: 4253.816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*r - 1380 = 449*r + 460*r + 1896 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 936153, 936146, 936139, 936132?\n\"Answer: -7*i + 936160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p - 1\/45*p**5 + 2\/3*p**3 + 15\/2*p**2 + 0 - 1\/9*p**4. Let o(g) be the first derivative of w(g). Find l, given that o(l) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2. Let m(c) = 198*c. Give m(k(d)).\nAnswer: 198*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 4. Let a(f) = -5*f + 11. Let y(m) = 4*a(m) - 11*z(m). Determine y(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101010110000100?\nAnswer: -101010110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert b0 (base 13) to base 5.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/24)\/(66\/(-297))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -6)\/(4\/6). What is the smallest common multiple of 22 and (-219)\/(-21) - a\/7?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/132 and -35\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263327.\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 16*x + 20. Calculate u(6).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 27. Let u(y) = 2*y + 54. Suppose 2*o + 12 = -3*h, -2*o + 7*h - 14 = 9*h. Give o*g(m) - 4*u(m).\nAnswer: m + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 5 = a - w, -5*a + 3*w - 21 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1607 - 9605\/6. Find the common denominator of l and -75\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = c + 4*n, -4*n = 4*c + 20 + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2926010 divided by 292601.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -328134 divided by -3.\nAnswer: 109378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -30359*x**2 - 4492 + 4492 - 33*x + 33*x as n*x**2 + v*x + g and give n.\nAnswer: -30359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12727 - 12726.67. Which is the fourth smallest value? (a) 103 (b) 1 (c) -0.5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2294 and 2232.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t + 59 = 0. Calculate the remainder when t is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49885, -48017, -42945, -33067, -16781?\nAnswer: 7515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3873 + -27154\/7. Find the common denominator of m and 23\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/99 and 1*((-22)\/18 + -7)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:41 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 24 = -4*j, -8 = 7*k - 3*k - 4*j. Solve -k*r - 8 = 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22*(-14 + -3) - -4. Let d = y + 371. Let z(t) = 5*t**2 - 2*t - 1. Let h(g) = g + 1. Determine d*h(i) + z(i).\nAnswer: 5*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - -1. What is the remainder when f is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608058.089 + -0.3.\nAnswer: 608057.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-5) + 12\/(-30). Let c be 0 - 1 - (o + 27). Let h be (-3)\/(-18) - 205\/c. Calculate the greatest common divisor of 21 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 7. Let j(b) = b + 9. Suppose 0 = -q - 4*t + 4 - 25, 4*q = 5*t. Let s be j(q). Let y be c(s). Solve y*f - 2*f + 10 = 3*a, 5*f = -5*a + 30 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-28)\/8 - -3). Suppose 0 = -p - 2*p + 294. Let j = p + m. What are the prime factors of j?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -8 - 2 - (6 - (2 + -11))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 296147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 - 6*k**3 - 3*k**2 + 2*k**3 + 1 + 7*k**3 in the form b + v*k**3 + n*k + i*k**4 + x*k**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:30 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f = 17432 - 17368 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14532 divided by -7.\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*3)\/sqrt(4) + sqrt(240)*-4)\/(sqrt(12) - sqrt(768)*-2 - (sqrt(108) - sqrt(108)*-3)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -6, -9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124169811?\nAnswer: 3, 2939, 14083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*-2*21\/(-14). Suppose -p - 5 = -2*n. Let r be (-8)\/(-28) + 131\/n. Round r to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-73 + (6 + 18)\/(-2))*-58. What is the greatest common factor of 2030 and m?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 9:02 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 3*h**2 - 2*h - 3. Let a be c(-3). Suppose 0*s = -a*s + 18. Find the second derivative of 2*z + 0*z - z + 3*z + s*z**4 wrt z.\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 680\/51*(-99)\/(-165).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide ((-364)\/(-6))\/(-6*2\/(-108))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 15*m - 695. What is p(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551613?\nAnswer: 3, 183871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 + -0.33. Let a = 24 + -97\/4. Put d, 3, a in decreasing order.\nAnswer: 3, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 15*h - 10*h + 167 = 0, z = -2*h - 84. Let j = -86 - z. Solve j = -2*d - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2*2*-4. Let l be (-258)\/63 + n + (-764)\/(-84). Solve -j - 1 + l = 5*m, 3*j + m + 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 3*y + 3*y + (1 - 2*y - 1)*(4*y - 3*y - 2*y) + (-4*y + 12*y + 4*y)*(11 + 12 - 20 + y).\nAnswer: 13*y**2 + 36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + -1*(sqrt(95) + 3*sqrt(95)) - (sqrt(95) - -1*(-1*sqrt(95) - sqrt(95))))\/(((sqrt(135)*-1)\/sqrt(9))\/((-1*sqrt(15))\/sqrt(5))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 233919572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020014993 rounded to seven dps?\nAnswer: -0.0002001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.305 + 0.305. What is the closest to -7\/4 in 1\/3, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -0.05005?\nAnswer: -0.05005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxq. Give prob of sequence xq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -5 (c) -10\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*95733.\nAnswer: 382932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030622777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgcw when four letters picked without replacement from {c: 2, v: 5, g: 7, b: 3, w: 2, y: 1}?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 54*s**3 + 8*s**2 - 23*s - 58. Let c be o(-2). Which is bigger: c or -405?\nAnswer: -405","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1282 is divided by 107?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 + 21*k + 19. Determine j(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-26\/9)\/c)**(-3\/10)\/(c**(3\/4)\/(c*c\/((c**23\/c)\/c))) assuming c is positive.\nAnswer: c**(-1133\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/20, 1, 0.2, 18?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 2*m - 2*m + (m - 2*m + 3*m)*(8 + 0 - 1) + 2*m - 3*m + 3*m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 9*w - 3. Let r be f(9). Let o be (-16)\/(-3) + (-3)\/9. What is the second biggest value in o, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 19416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -2, -0.5, -0.1, 2\/307, -0.3?\nAnswer: 2\/307","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 0.28963735725?\nAnswer: -0.68963735725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15934.4 times -1.6?\nAnswer: -25495.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/1032400 and 101\/123888?\nAnswer: 3097200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 121*u**2 + 1. Let q(n) = 3*n**2. Give q(p(z)).\nAnswer: 43923*z**4 + 726*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 9. Suppose -25 = -r*q - 16. Solve -4*n - q = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 649007*b - 2009. Is m(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8352 + -2242. What is the remainder when w is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3104.3*-84.\nAnswer: -260761.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 91584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*r*t**4 + 2*r*t + 341*r + 2*t**5 + 566*t**3 + 21*t wrt t?\nAnswer: 132*r*t**2 + 40*t**3 + 3396*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1942493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1516 or 0.1?\nAnswer: 3\/1516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3 - 12*r + 4 + 14*r - 3. Let c be n(-2). Let -1\/4*b**4 + c*b - b**2 - b**3 + 0 = 0. What is b?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + -2 + -3.\nAnswer: -5 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/x**1)\/(x*x\/x**4))**13*(x**(-1\/4)*x*x**(-5))\/((x\/(x*x**(3\/4)))\/(x*x\/(x\/x**3))) assuming x is positive.\nAnswer: x**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228.2 - 225.2. Which is the nearest to 1\/3? (a) -0.48 (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -0.27, -1\/4 in descending order.\nAnswer: 13, -1\/4, -0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-3))\/((-8)\/30). What is the remainder when -1*p - (-4 - 18) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 5:47 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 4*u**2 + 4*u + 6. Let o be x(-4). Let r(m) = m**3 + 11*m**2 + 10*m + 5. Let p be r(o). Solve 0 = -2*k + p*h + 5, 7*k + 3*h + 3 = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/22, -2, -110, -1.1, 1?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250251679 to the power of 1\/3, to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*-5*-3*(sqrt(2299) + (sqrt(2299) + sqrt(2299) + -1)*-4) + -3).\nAnswer: -738 + 13860*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/8 + (-2)\/8. Suppose 3*n = -t + 7, -5*t - 3 + 2 = -3*n. Suppose 0 = 4*c + o + t, -4*o - 18 = 2*c - 0*o. Put y, c, -3 in decreasing order.\nAnswer: y, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5*(1377\/15 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 11. Let z(c) = 14*c + 1. Let v be z(b). What is the units digit of (-40)\/v*(-2 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 4. Let h(n) = 3*n + p*n + n**2 - 21*n + 13*n + 3. Let d = -4 + 0. What is h(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.521 - -1.621. What is the second smallest value in -5, s, 1\/4, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18 = -22*v + 20*v, t + 9 = 2*v. Let s be (3\/v)\/(7\/(-238)). Put s, -5, 13 in descending order.\nAnswer: 13, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-234))\/(((-4)\/(-6))\/((-9)\/27)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/10 + 147*s\/10 - 45 = 0. Calculate s.\nAnswer: -150, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 1834?\nAnswer: 1826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -50*y**2 - y + 2*y + y. Let x(u) = -237*u + 1. Let n(w) = 712*w - 3. Let h(v) = n(v) + 3*x(v). Calculate h(q(d)).\nAnswer: -50*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -2*d - 23, 0 = 5*v + 14441*d - 14447*d - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/24*-2 - (-18183)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 1. Let v(m) = 5*m + 5. Let f(k) = 6*a(k) - v(k). What is f(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbdgbmp. Give prob of picking 1 d, 1 m, and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8298625*p**4 - 2*p**3 - 1358018737*p**2 wrt p.\nAnswer: 199167000*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b**2 - b**2 - 8*b**2 - 44 - 8*b**2.\nAnswer: b**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + 1d?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 2378 = 1222. Let m = f + -223. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19 + (-1 - -1 - 1). Let v = 632 + -578. Calculate the highest common factor of q and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 12. Let y be 136\/14 - 5056\/(-2212). Give a(y).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10775, -82255, -276289, -654155, -1277131, -2206495, -3503525?\nAnswer: -5229499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - j - 1)*(-3 + 1 - 9 + (-282 - 150 - 100)*(-6 + 1 + 3)) to the form b*j + g and give b.\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y. Let l(g) = g. Let u(x) = 4*x - 5. Let j(c) = c - 1. Let k(w) = 30*j(w) - 6*u(w). Let s(t) = k(t) - 5*l(t). What is r(s(p))?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 982 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14358977.\nAnswer: 727, 19751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -39ba5 (base 12) to base 2\nAnswer: -10011011001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30, -26, -12, 18, 70, 150, 264, 418?\n\"Answer: c**3 - c**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**2\/2 - 3*k + 5. Let c be p(-10). Which is bigger: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3427676.824 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.40192*-812\nAnswer: 326.35904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 k when four letters picked without replacement from {k: 6, j: 3, s: 3, q: 3, c: 2}?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/7)\/(q**1\/q)*(q**1\/q*q)**(-2\/23))\/(q*q*q**(-2\/11)*q*q\/(q\/q**1)*(q**0)**(-38)) assuming q is positive.\nAnswer: q**(-6157\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3103 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a day in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6185075249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704791?\nAnswer: 89, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*o + 5*o, 0 = 2*d - 8. Let h = 9 + -9. Solve v + o*t = 3*v, h = -3*v + 4*t - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmd when three letters picked without replacement from {f: 1, d: 2, q: 3, m: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 2*h**3 - h**2 + h**3 + (0*h**3 - h**3 - h**3)*(-1 + 2 + 2) as i*h**2 + d + q*h**3 + a*h and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -15 + 851\/(-7 + 8) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19384 - 19562. Which is smaller: -152 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1211, 1215, 1221, 1229, 1239, 1251, 1265?\n\"Answer: f**2 + f + 1209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.5056 - 2.2056. What is the fourth smallest value in 5, p, 0.1, 0.2182, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (12 - 5) + 0 + -3 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**2 + 480*i + 2736 = 0.\nAnswer: -114, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 312 = -3*z. Let j = z + -18. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.48 - 22.52. Let v = -1 + -21.5. Let y = v - c. What is the nearest to 1\/6 in 2\/7, -4, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-24))\/(117\/(-104)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -10*t - 3. Let n be 1*(-3 - 1) + t. Let y = -0.2 - -0.1. What is the second smallest value in -1, y, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 15, -189\/5, -1 in ascending order.\nAnswer: -189\/5, -1, 3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 7*p + 12*p - 15*p.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -845*f - 20486. Calculate d(-27).\nAnswer: 2329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28342426 * -0.3.\nAnswer: -8502727.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14235*y**5 + y**2 + 157884?\nAnswer: -854100*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - 0.2. Let m be 2\/(-3)*((-285)\/(-294) + -1). Let t be (-10 + ((-8344)\/120)\/(-7))\/((-1)\/6). Which is the second biggest value? (a) r (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*l, u + 5*l + 28 = -3*u. Find the common denominator of -54\/7 and (u\/4)\/(2\/(-26)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(75)).\nAnswer: -30*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 + s**4 + 0*s**4 + (3*s**3 + s**3 - 2*s**3)*(-7*s + 29*s - 54*s) to l*s + j + g*s**3 + v*s**2 + m*s**4 and give m.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -33. Suppose -520 + 125 = -h*l - 4*w, 5*l - w = 370. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 341173499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -0.2. Let s = 2\/263 + 520\/789. Which is the smallest value? (a) k (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133283 is divided by 3808.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or -493?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 5*g**2 - g + 4. Let y be t(-5). Let h = y - 11. Let m(x) = x + 2. Let z be m(h). Which is bigger: 5 or z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/((-2)\/(-36)). Let n = h + -3. Suppose n = -2*c - 18. What is c rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -37 (b) -16 (c) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28557752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 123.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -30*y - 1671. Calculate j(-45).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -1\/4, 1\/2, -8, 200\/9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -94*y**2 + 729*y. Let r(u) = -376*u. What is r(k(a))?\nAnswer: 35344*a**2 - 274104*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 8562*b**2 - 7854795*b + 2271789936.\nAnswer: -3*(b - 1131)**2*(b - 592)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559278 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 199251 and 80847?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13 + 3*s + 46*s**4 - 50*s**4 + 5*s**3 + 5*s**3 - 3 wrt s.\nAnswer: -48*s**2 + 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5013019067?\nAnswer: 7, 263, 2722987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92404 + 2612.\nAnswer: -89792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-15)\/6 + 1)*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2477975?\nAnswer: 5, 99119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 59 = -16*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 89. Let x = v + 40. Which is the second biggest value? (a) 2 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40613035 - 25?\nAnswer: 40613010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1524104 (base 6) to base 16\nAnswer: 15bc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 2:45 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -343688*h**5 - 255436*h wrt h?\nAnswer: -6873760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*p - 28 = -113, p - 45 = -2*l. What is the greatest common divisor of l and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1939*h = -4*s + 1940*h + 38, 0*s - 45*h + 13*h - 73 = -s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 24, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/897 or 32486?\nAnswer: 1\/897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -375*x**3 + 35*x**2 + 70*x + 35. Let g(o) = -22*o**3 + 2*o**2 + 4*o + 2. Give -35*g(k) + 2*l(k).\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 6*z**2 + 7. Let y(s) = -s**2. Let c = 189 + -190. Calculate c*k(u) + 6*y(u).\nAnswer: -u**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 77118085262 from -0.558.\nAnswer: -77118085262.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*u + 543 = 21519, 83896 = 4*j - 4*u. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from mshiiciiciih.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 7*j**2 + 7*j + 8. Let x be d(6). Let f be (x\/4)\/((-1)\/(-2)). Let g be ((-12)\/(-10))\/(43\/215). Which is greater: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, 114, 580, 1534, 3138?\nAnswer: 5554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6374036 divided by 3634?\nAnswer: 1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.5. Let w = -105 + 1153\/11. Let o be (-2)\/(-6) + 8\/(-6). Which is the nearest to 1? (a) o (b) w (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8\/9, -1\/32, -1\/3?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**2 - 20*a + 96 = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -77*k - 13. Let m be b(7). Let d = 1669 + m. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h*q**3 - 33*h*q**2 + 176*h wrt q?\nAnswer: -3*h*q**2 - 66*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-14\/9)*k)\/k**(-32))\/(k**(8\/3))**(1\/33) assuming k is positive.\nAnswer: k**(345\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 1097 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: f82f3 (base 16) to base 13\nAnswer: 297922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58957533\/35 + 1685012. Let c = 511 - o. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - -49 - (10 - 3). Suppose 34*f + 25295 = p*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195650, -196358, -197070, -197786, -198506, -199230?\nAnswer: -199958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 3938988.\nAnswer: 1\/3938988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 42*v**2 + 168016*v - 2296008 = 0?\nAnswer: -4014, 286\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4714, -10386, -16058?\n\"Answer: -5672*w + 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j - 95*j + 48*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = -2. Let h be (0 + c)*(-1)\/(-1). Suppose 0 = 10*u - 15*u + 3*g + 14, -3*g = -3*u + 6. Solve -5*y - h*s + 10 = -2, s = y - u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1126*l**3*r**2 - l**3*r - l*r**2 + 5*l*r - 9*l wrt l?\nAnswer: 6756*l*r**2 - 6*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17314 a multiple of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -283 + 280 - (-3 + 0 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-9))\/(18\/21 - 244\/252). Let y = 0 - 0. Suppose -k = -y*k + 4. Do k and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 229, 222, 205, 172, 117?\n\"Answer: -l**3 + l**2 - 3*l + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 168013.586 to the nearest 100.\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 218*s**2. Let c(l) = 27508*l**2 - 55017*l**2 + 27503*l**2. What is q(c(h))?\nAnswer: 7848*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22520, -22508, -22496, -22484, -22472?\n\"Answer: 12*l - 22532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(114)*-1 - (sqrt(114)*-1*-5 + sqrt(114)))*-6)\/((-2*sqrt(2058))\/((sqrt(315) - sqrt(35))\/sqrt(5) + sqrt(7))).\nAnswer: -72*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 208, -35, -446, -1031, -1796, -2747, -3890?\n\"Answer: -m**3 - 78*m**2 - 2*m + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/2 - 711*k\/2 + 8229.\nAnswer: 3*(k - 211)*(k - 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 254917, 509739, 764561, 1019383, 1274205, 1529027?\n\"Answer: 254822*l + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -30, -5, 24 in ascending order.\nAnswer: -30, -5, -2, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (11\/((-176)\/32))\/(2*10\/(-160))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 18*q - 41. Give m(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 + o. Let l be 36\/9*(7 + 0)\/7. Let k(m) = -m**2 + m. What is l*p(w) - 7*k(w)?\nAnswer: -5*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4634*m**6 + 9*m**5 + 339953*m**2 wrt m.\nAnswer: -556080*m**3 + 540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 5*z**2 - 5*z - 3. Calculate g(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 + 63. Let h be 2\/6*(c - (-15)\/3). Solve -m - h*m + 12 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -2.\nAnswer: -2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4258 - 4329. Sort d, 3, 18.\nAnswer: d, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7)*i**(1\/8))\/(i*i*i**(-12)*i**(-3\/5)\/i) assuming i is positive.\nAnswer: i**(3323\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*h + 3*d, -3*d = 2*h - 4*h - 6. Suppose h = n - 1 - 1. Solve -8 = -n*t - 0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312 divided by -145.\nAnswer: 312\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/84 and 65\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 88.80957 years?\nAnswer: 1065.71484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 33 = -5*i. Let v be -1 + 1 - (4 + i). Let y = v + 145\/8. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(40) + (sqrt(40) - sqrt(40)*-1)) - (sqrt(160)*-1 - sqrt(40)))\/(((-3*sqrt(500)*-5 + sqrt(500) - sqrt(500)) + sqrt(500))*1).\nAnswer: -3*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3478266431 to the power of 1\/2, to the nearest integer?\nAnswer: 58977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmgttgttmtgmttg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8.7, 1, 0.1, 3\/4, -0.4, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/5 and ((-145)\/(-55)*-1)\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**3\/2 - 9*x**2\/4 - 15*x - 61. Suppose t(k) = 0. Calculate k.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/7 and -125\/178819186.\nAnswer: 178819186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 11145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 14*f**2 + 1257*f - 257. Calculate k(-90).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2055 = -10*s + 13*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6576182 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.300056. What is c rounded to 6 dps?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -23*k**3 - 12*k**2 - 15*k + 28. Let n be q(-5). Calculate the greatest common factor of 52 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + 1. Let w be p\/4*(10 - 6). Suppose -23 = -4*o - 5*m + 26, -m = -5. What is the highest common divisor of w and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**5 + 3260*u**4 - 38505*u**3 + 67250*u**2 - 32000*u = 0. Calculate u.\nAnswer: 0, 1, 10, 640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-12)*(-3)\/2. Let m = -1.6 + 1.7. Let k = 0 + m. What is the smallest value in k, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440110030 (base 6) to base 7.\nAnswer: 123462264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2006 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: Let w be (0*(-3)\/9)\/2. Suppose 3*f + 0*f + 9 = w. What is the tens digit of -5*(-1)\/f*-9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/3 - (104 + -86)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*12\/(-15))\/(24\/20).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 137071 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508503?\nAnswer: 3, 169501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 29. Suppose 12 = k + n*k. Suppose 5*b = 25, -3*b = o - k*o + 76. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d + 2*d + 2106 = -90*d - 107*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhykxxxkxy. What is prob of picking 1 y and 1 k?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6}. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 - -677\/9. Let p be 1\/(-4) + (-22)\/(-24). What is the nearest to p in v, -0.3, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1515*((-5)\/3 + 1)\/1. What is g rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 31\/5 of a second?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 17*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxxx. Give prob of sequence xx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3\/7))**(-23) assuming x is positive.\nAnswer: x**(-230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 3*x + 4. Let g be (-7)\/(-2) - x\/(-2). Suppose -9 + 4 = 5*m - 5*t, 4*m - 20 = -g*t. Solve -m*s - 7 = 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 46 (b) 1 (c) 7 (d) 6 (e) -3 (f) 98\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 2434009.87?\nAnswer: -2433998.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1745, 3389, 5021, 6635, 8225, 9785?\nAnswer: 11309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52773871.\nAnswer: 52773871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**10\/252 + g**6\/36 - 3*g**3 + 17*g**2. Let s(v) be the first derivative of r(v). Find the third derivative of s(d) wrt d.\nAnswer: 2400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 3. Let u = -15 + 29. Let i = 10 - u. What are the prime factors of c(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46, -118, -218, -346, -502?\n\"Answer: -14*q**2 - 30*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2333 + -2276. Solve -60*b = -a*b + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + h + 4*h - 16, -3*h + 15 = 0. Let l be g\/(-42)*(1 + 1). Let p = 0.1 - 2.1. Which is greater: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 9. Suppose -6*z + g*z = 4. Let w(p) = 3*p + 3. What is w(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -0.2, 4\/15, 15, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 9:23 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 12:41 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 297 - 383 = 0. Solve i + 5*x = -g, -5*i = 5*x - 0*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 4. What is the lowest common multiple of 2 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5117343 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 3*f**2 + 2*f + 3. Let m(k) = -3*k**3 - 10*k**2 + 7*k + 10. Suppose 2 = 4*x - 4*j + 18, 4*x = -j - 6. Calculate x*m(p) + 7*i(p).\nAnswer: -p**3 - p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6400284.\nAnswer: 2, 3, 11, 48487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -5\/6*t**3 + 0 + 12*t + 0*t**2. Let j(d) = -3*d**2. Give p(j(i)).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -54869000 rounded to the nearest 100000?\nAnswer: -54900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317.7958 millennia to months.\nAnswer: 3813549.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 1, g: 6, i: 4, a: 3, p: 1}. Give prob of picking 1 y and 1 p.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 7*s**2 - 8*s - 12. Let d be c(-6). Suppose 13*r - 17*r + 6604 = d. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 46209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -17*f. Let n(u) = 48*u + 1. Let p(b) = 17*a(b) + 6*n(b). What is p(16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11692 and 144.\nAnswer: 420912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -55, -2, -4 in ascending order.\nAnswer: -55, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 924816 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -20.2. Let m = 19 - g. Let j = m + 2.19955. What is j rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 7:34 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 48 = -0*u. Let o be (4\/(-6))\/1*-18. What is the greatest common divisor of o and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 21*w**2 - 111*w + 11. Let b be d(10). Suppose 0 = 4*y - 7 - 1. Solve -y = p + b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26948254 is divided by 673.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 1. Let a be u(5). Suppose 4*r - 14 = -3*z, -5*r = -r + a*z - 16. Suppose 6*j = r*j + 36. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 2947491.\nAnswer: 23579928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 3*z - 15. Let c be n(3). Let t = c + 100. Is t a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-5 + 1))\/(-1). Let i = 0.374 - -0.026. Let n = -7 - -8. Which is the nearest to n? (a) i (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**3 + 5*d**2 + 121 - 116 - 5*d**3. Let b(v) = 11*v**3 - 6*v**2 - 6. Give 5*b(f) + 6*q(f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**3 + 7*l**2 - 2*l + 9. Let n(p) = -3*p**3 + 4*p**2 - p + 5. Suppose -3 = -9*r + 60. Determine r*n(u) - 4*w(u).\nAnswer: -u**3 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-28)\/(-56)*(1 - -8)*22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 73*m**2. Let q(r) = -198*r + 77*r + 71*r + 100*r. What is q(c(n))?\nAnswer: 3650*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5585\/9 - -10051\/18. Let d = n + 62. What is the third smallest value in -0.3, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2. Let a(k) = k**3 - 3*k**2 - 5*k + 4. Let p be a(4). Let l(z) = p*z + 0*z - 5*z + 4*z. What is l(f(r))?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20676 and 10066.\nAnswer: 104062308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:10 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -288626 or -289821?\nAnswer: -288626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -20*n - 5 + 17*n - 4. Let r be l(-4). Is r greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64469750 divided by -2\nAnswer: 32234875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 15520*a + 15520*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281493 = -2*q + 5*h + 281666, 2*q = -2*h - 72 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*k + 5)*(-1 - 4 - 12)*(-3 + 2 + 0).\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-1)\/(((-16)\/4)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1373*d + 12557. Determine x(9).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -487, 0?\nAnswer: -487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w + 6. Let n(c) = c + 1. Suppose -232*u - 768 = 24*u. Calculate u*n(d) + l(d).\nAnswer: 4*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8981.\nAnswer: 7, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 176147 (base 9) in base 12?\nAnswer: 5342a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p + 3. Let n be g(-1). Suppose -l - 4*t = -n, 0 = l + t - 11 - 10. Suppose 5*c - 385 = -l. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-196)\/2450 + (-654)\/(-50). What is the highest common factor of u and 23920?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 309230540 or 309230539?\nAnswer: 309230539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 + 23*s**2 - 448*s + 3138. Calculate p(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -4*l - 6. Let p(y) = y - 2. Let x be p(l). Let v be (-76)\/(-18) - (-92)\/(-23). Which is the closest to v? (a) -5 (b) -1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 840377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(1\/2))\/x))**(-9\/4)*x**(10\/7)*x*x**3 assuming x is positive.\nAnswer: x**(115\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19472 and 192?\nAnswer: 233664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -5, 1\/60, 0.17, -1?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29634666.\nAnswer: 2, 3, 4939111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44282 divided by -22141.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5775, 5, 4 in decreasing order.\nAnswer: 5775, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 271333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 48. Let w be i\/81*3\/(-12). Put -5\/3, w, 1 in ascending order.\nAnswer: -5\/3, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/63 in -8\/7, 4, -44, -0.4, -1, -25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1722, 13737, 36036, 68619, 111486?\nAnswer: 164637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 5*q**2 - q - 8. Suppose -s + 4*c + 46 = 38, -2*s - 5*c + 3 = 0. What is k(s)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 - 14*c + 7035. Does 229 divide z(69)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -74*j**7\/21 - 29*j**5\/60 + 634*j**2. Find the third derivative of q(t) wrt t.\nAnswer: -17760*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from ddddsddsdsdddddd?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82971*i - 56550 wrt i.\nAnswer: 82971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 30*x. Let n be w(1). Let f be (-7)\/n - 2\/(-6). Let t be (3\/18)\/((-2)\/3). Which is the nearest to -2\/5? (a) f (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 12:55 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 4*j - 5*j + (2 - 10 - 4)*(-4*j + 2*j + 4*j) to n + x*j and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241199 is divided by 116.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*7\/(-2) + (-19 - -19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 0.6 (c) -2\/51 (d) 14 (e) 53 (f) -105\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(1\/29))**(9\/8)\/((b*b**1)**(-33))**15 assuming b is positive.\nAnswer: b**(229689\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4413?\nAnswer: 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 104\/(-396) - 36\/(-81). Which is the second smallest value? (a) 1.1 (b) 4\/3 (c) -2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.375 + -203.625. Let v = c + 205. What is the nearest to v in 0.5, -1\/5, -2\/23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22583299\/4 or -5645824?\nAnswer: -5645824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, -761 in decreasing order.\nAnswer: 16, 2, -761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.008, -1.9, 4, 2\/5, -3\/4, 0.12, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 5*s**2 + 3*s. Let w be c(-3). Let o = w - -34. What is the remainder when 137 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 68221?\nAnswer: -272884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38866 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14462431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -1. Let x = 21 - y. Factor 9*u + x*u - 3*u**4 + 6 + 9*u**2 + 14*u**3 - 10*u**3 - 7*u**3.\nAnswer: -3*(u - 2)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18724, 18699, 18674, 18649?\nAnswer: 18624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58700 divided by 587.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -41.29. Let c = 0.11 - b. Let i = -0.6005 - c. Round i to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 + 4)*(-1 - 2 + 5)*(2*w - 9*w + 0*w) as a + d*w and give d.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -131, -196, -261, -326, -391?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 17*r - 5. What is d(-17)?\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 34\/(-6) - 104\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) -2901 (b) 0.055 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 2*f**2 - 2*f. Let h(g) = 20*g**3 - 50*g**2 - 45*g. Let k(t) = h(t) + 25*s(t). Factor k(v).\nAnswer: -5*v*(v + 1)*(v + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.158332 grams?\nAnswer: 158332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-6)*(-6384)\/(-1862)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13\/38 (b) 3 (c) 2 (d) -0.033 (e) 4 (f) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*k + 3, 0*k = 4*t - 4*k - 44. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j - 4. Let b be m(-5). Let d = -9 - b. What is the remainder when (30\/20)\/(6\/176) is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**1*f*f))\/f)**(1\/77)\/((f\/f**6)\/(f\/(f**(-2)*f)*f)) assuming f is positive.\nAnswer: f**(613\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41339719 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 9, -6, -2, 7, 4 in decreasing order.\nAnswer: 9, 7, 4, -1\/7, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 46*b - 87. What is the hundreds digit of u(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*x + 3*x + 63, -2*o - 2*x + 42 = 0. Suppose 2*d - 3 = u - 2*u, 4*u - o = d. Let v(m) = -10*m - 4. Let q be v(d). Solve -q + 1 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.174 - 0.2836. Let k = -0.1 - r. What is k rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 44. Solve -w*r + 20 = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2112122002200 (base 3) to base 12\nAnswer: -551939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -175*h**5 + 73*h**5 - 292*h**5 + (-3*h**4 - 2*h**4 + h**4)*(0*h - 2*h + 0*h) + h**5 - 3*h**5 + 3*h**5.\nAnswer: -385*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 33074?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28813?\nAnswer: 28813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 96 + 348. Suppose 6*i - 3*i + 2*b = 449, i = b + j. What is the remainder when i is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-15))\/(6\/30)*3*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o**2 + 7*o**2 + 12*o - 14*o**2 - 4. Let k(l) = -l**2 - 4*l + 1. Let r(z) = -3*g(z) - 8*k(z). Let u(t) = 3*t - 3. Give 2*r(x) + 3*u(x).\nAnswer: -2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -14201?\nAnswer: -14164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-2)\/16*(-448)\/(-14896).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 357703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/109)*v)**30 assuming v is positive.\nAnswer: v**(3330\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 221302 (base 4) in base 12?\nAnswer: 166a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 21*g**2 - 7*g - 7. Let a(c) be the second derivative of 5*c**4\/6 - c**3\/2 - 3*c**2\/2 - 3*c + 48. Determine -14*a(d) + 6*w(d).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 11:38 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.7 + 6. Let w = -0.8 + q. Let j(z) = z**2 - 3*z. Let l be j(4). Put 0, w, l in descending order.\nAnswer: l, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*1\/((4\/6)\/1). Let b be -1*k\/(-21) + 288\/56. Let g = 2\/19 - 23\/38. What is the nearest to g in b, 0.1, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**4\/4 - 2*q**3\/3 - 55. What is a in c(a) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**7\/z)\/(z*(z*z**(1\/4))\/z)*(z*z\/z**6)\/(z*z\/(z*z**(2\/3)*z)*z))**(-18\/13) assuming z is positive.\nAnswer: z**(-15\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -340, -1135, -2458, -4309, -6688, -9595, -13030?\n\"Answer: -264*l**2 - 3*l - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-80)\/(-84)*78\/52.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101*m**2 - 64*m**2 - 259*m**3 - 167*m**2 wrt m?\nAnswer: -1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6748 + 6751. What is the second smallest value in j, 2\/17, -60?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 17502 + 2903. Suppose -4*h + 19*d - 15*d = -1860, -u = -4*h - d. Calculate the highest common factor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011000011100011 (base 2) to base 10.\nAnswer: 78051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 6*w + 5. Let y be j(6). Let u = -8 + y. Let a be (2\/u)\/(16\/(-6)). Are a and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26099741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/3 (b) 4 (c) 17178\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let x(l) = -513*l**2. Determine o(x(f)).\nAnswer: 513*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + 173 + -62 + -92?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (40\/30)\/((-4)\/(-30)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 6*f - 2. Let x be u(5). Suppose 5*q + 56 = 3*k + 352, x*k + q = -272. Let n = k - -98. What is the lowest common multiple of 4 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -g - 77. Let r(c) = -524 + 524 - g*c**2. Let p(j) = 0*j**2 - j**2 - j**2. Determine p(r(f)).\nAnswer: -98*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16661712 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 + -33. Let v = h - 13. Let f = 28.4 - v. Which is the nearest to 1\/3? (a) f (b) 1\/4 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8732 is divided by 8660.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549997.\nAnswer: 7, 78571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w - 39. Calculate the least common multiple of 18 and o(12).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.88 - 0.44. Suppose 0 = -2*i - 4*g + 24, 9*g = -5*i + 14*g. Is j less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 7. Let n be v(-7). Let x(g) = -8*g + 2. Let k be x(2). Let r be k\/(-6) - 3\/9. Solve -i - r*o = 3*o + 18, 3*o + 12 = n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 3 = -27. Suppose 5*t - 3*j - 64 = -j, -4*t = -i*j - 58. What is the remainder when (0 - 59)\/(1\/(-1)) is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22090 is divided by 22089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 25. Let u(w) = w**2 - 6*w - 4. Give u(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.497*-0.6.\nAnswer: 0.2982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 8*r**3\/9 + 2582*r**2\/9 - 646*r\/9 = 0.\nAnswer: -323, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 12 + 2)*(3 + 0 + 4)*(-b - b + 0*b).\nAnswer: -140*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 47 + 17. Suppose 4*z - 4 = 2*h, 0*h - 3*h - b = -5*z. Calculate the remainder when 31 is divided by (1*-1)\/(h\/22).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49464949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1030962953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(13\/3)*q)\/q)**(-39)\/(q*q**(-20))**(1\/10) assuming q is positive.\nAnswer: q**(-2061\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -287, -18, 411.\nAnswer: -287, -18, -2, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7883 times -0.1\nAnswer: 788.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 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: What is prob of sequence kok when three letters picked without replacement from khkokkokkhkkkkkhkk?\nAnswer: 13\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1030346, 2060690, 3091032, 4121372?\n\"Answer: -k**2 + 1030347*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391795481.\nAnswer: 7, 11, 17, 29, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 5*t + 3. Let o be q(-6). Let c(p) = -2*p - 4*p**2 + 0*p**2 - 6423606 + 6423610. Calculate c(o).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 8:14 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -1\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-42)*12\/(-18).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, t: 9, x: 3, y: 3}. What is prob of sequence yty?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y - 3*y**2 + 3*y**4 + 10*y**4 + 4*y wrt y.\nAnswer: 312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 5) to base 16.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2187 or -2188?\nAnswer: -2187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(133)\/(sqrt(35)\/sqrt(5)))**2 - (sqrt(931) + ((sqrt(931) + 2 - sqrt(931) - sqrt(931)) + -4)**2).\nAnswer: -915 - 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21514, -21524, -21538, -21556?\nAnswer: -21578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*r**3 + r - 2*r**4 + 100*r**3 + 5*r**2 - r as h + x*r**3 + y*r**2 + z*r + p*r**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = 4*h + 19, -v - 14 = 4*h. Suppose v*f - 1 - 10 = -5*a, 5*f + 40 = a. Is (49 - 0) + 9 + f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) 32.2 (b) 6 (c) -2\/179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/20 + i**4 - 5*i**3\/3 - i**2 + 3*i. Let t be f(11). Solve 5*x = r - 2, 4*r - r + t = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.3 - -10.7. Let b = 12.6 - x. Let p = 0.1 - 0.2. Sort 3\/4, b, p in ascending order.\nAnswer: b, p, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -47922*m. Let t(j) = -770*j. What is t(r(w))?\nAnswer: 36899940*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17886 - -27796. Let b = -2913 + y. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199 and 144673.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 2*n**2 - 2*n - 2. Let u be d(-2). Let k be (-1 + 0)*u\/2. Let l = -1\/2 - k. Which is the closest to l? (a) -0.5 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l + 18. Is l greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -7, -13, -21?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2*n + 1. Let j be w(-3). Let s = -3 + j. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 19*n**2 + 14*n - 75. Let z be f(-18). Put 0, 13, z in descending order.\nAnswer: 13, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/2 less than or equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -9 - (0 - 1)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-3)*(49\/(-21))\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*r + 10 = -5*y, y = -3*r - 10. Solve y*a + 2*g + 23 = 6*g, -g = a + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20895 by 597.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5 - 14*i**4 - 8*i**3 + 14*i**2 + 5*i = 0. Calculate i.\nAnswer: -1, -1\/3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*((-54)\/(-8))\/3. Let t be (1\/(-3))\/(1\/r). Let b(w) = 2*w**3 - 3*w**2 + 2*w - 7. Is b(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4491 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -159, -155, -137, -99, -35?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-370)\/(-555))\/(((-8)\/60)\/1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7953\/3 - -5 - (11 + -7).\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (-1 + 7 + -9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2256.01m?\nAnswer: 2256010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(117) + sqrt(117) + -1 - 2*sqrt(26)\/sqrt(2)*1)**2.\nAnswer: 8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 4, l: 5, j: 1, x: 1}. Give prob of sequence xr.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1212536 and 5303?\nAnswer: 1207233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**4 - 4*z**4 - z**5 + (0*z**3 - z**3 - z**3)*(-35*z**2 - 30*z**2 - 4*z**2).\nAnswer: 137*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 30, 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3849559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, n: 5}. Give prob of sequence in.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45592*s**3 + s**2 - 7087*s - 2 wrt s.\nAnswer: -273552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725*o + 7 + 301*o - 8 - 226*o.\nAnswer: 800*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, i: 2, a: 5, h: 1, z: 1}. What is prob of picking 2 d and 1 i?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6290?\nAnswer: 2, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 469 - -529. Let s = -681 + g. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 3*k + 2. Let y = 2 + -12. Let z = -15 - y. Does 6 divide u(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93937 is divided by 4694.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 3*x**2 + 3*x + 4. Let l be p(4). Suppose j = -l*j + 16. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7*h - 2 + h**2 - 10 + 2. Suppose 3*o - 115 = -2*b, 0 = -3*o + 14*b - 12*b + 131. Suppose 6 = -2*u - 4*z, o = -2*u + 5*u - 4*z. What is l(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2955*b - 70 = -2950*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 41312 + 41312 - n**2. Suppose -3*o = -3*v + 2*v - 17, v - 23 = -5*o. Give r(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 890 divide 73683100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*f + 695355, 404*f - 400*f + 2*g = -927166. What is f rounded to the nearest one thousand?\nAnswer: -232000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100437709?\nAnswer: 100437709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c. Let p(n) be the first derivative of 0*n**4 + 3\/2*n**2 + 0*n**3 - 1\/30*n**5 - 1 + 0*n. Let t(x) be the second derivative of p(x). Give t(b(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 35391114\/89 and 397653 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -16*z + 76. Let v(i) = -3*i + 15. Let l(p) = -2*m(p) + 11*v(p). Let o be l(11). Suppose -37*b - 180*b = 217. Sort o, b, 0 in descending order.\nAnswer: o, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217a60 (base 13) to base 8.\nAnswer: -3003506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**3 - 30302522*p**2 + 142136102*p wrt p?\nAnswer: 18*p - 60605044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w. Let z(p) be the first derivative of p**2\/2 + 1. Give r(z(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(8)\/sqrt(4) + 1 + (-1 + sqrt(2))*-1.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 472*h**2 + 181*h - 2.\nAnswer: 944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 40 (b) -5 (c) -0.2 (d) -1.1 (e) -1\/22 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -13*n**2 - 65*n - 115. Give z(-10).\nAnswer: -765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53164427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 2261.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112152124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.18 + -0.2. Let n = -318.72 - -319. Let f = q - n. Is 0.01 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.234866 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 211*q**3 + 455*q**2 + 60*q + 2. What is n(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - i, 0*a = 4*a + 5*i + 12. Let z(h) = h**2 - 10*h + 9. Let j be z(9). Suppose j*s = -a*s. Solve 0*x - x - 3 = s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/10)\/(182\/260) - -3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1110 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:36 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p**2 + 3*p**2 - 5*p**2)*(-2658 + 3103 + 4527 + 1297) to the form r*p**2 + m + q*p and give r.\nAnswer: 6269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/168 and -125\/276.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 13*n - 14. Let q be z(-11). Let s = -10 + q. Let x be 7\/((-14)\/(-9199996)) - s. What is x rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 15*h + 145. Let n(t) = t**3 - 13*t**2 + 33*t + 26. Let z be n(5). Calculate j(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5 + 21*c**4 - 182*c**3 + 384*c**2 - 224*c = 0. Calculate c.\nAnswer: -28, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -50.4 - 6.6. Let g = 6600805.759 - 6600862.75899818. Let h = g - j. Round h to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 902.7 or 2?\nAnswer: 902.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 115 - 107. What is the derivative of 188*g**2 - 264*g**2 + 187*g**c + 13 wrt g?\nAnswer: 222*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 + 99. Let r = -170 - -173. What is the first derivative of h - 7 + r*j - 7*j - j wrt j?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5*r = -23, 5*w = -3*r - 83 + 103 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - b + 2. Let m be (-198)\/36 - (-1)\/2. Suppose 0 = w - 1 + 3. Let f(i) = -2*i**2 + 2*i - 5. Let t(g) = m*c(g) + w*f(g). What is q in t(q) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*f**3*r*w + 3*f**3*r + 2*f**2*r**2*w - 2*r**2 with respect to w.\nAnswer: 22*f**3*r + 2*f**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 - 26 = 16*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 7:42 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1332*y + r = 1327*y + 17, -y + 3*r = -13. Solve -y*t - 4*l - 130 = -166, 4*l = 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13216 is divided by 178?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1336*f**3 - 1369*f**3 + 2704*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4370.9268 - 4370. Round a to 2 decimal places.\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170147645, -170147643, -170147641, -170147639, -170147637, -170147635?\nAnswer: -170147633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 607.9 in 0.2, 0.5, 3\/7, -0.35, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**3 + 352*i - 172*i + 219*i**4 + 3*i**3 - 181*i + 0*i**3 as r*i**4 + c + d*i**3 + q*i + v*i**2 and give r.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -10. Let k(h) = -11 + 1197*h**2 + 27 - 1198*h**2 + 1. Let q be k(l). Let z(i) = i**2 + 10*i - 5. Give z(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.19, 2\/15, 1\/6, 237, 4?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhh. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in 4\/49, 2, 1?\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7976387?\nAnswer: 59, 135193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 304553\/105 - 60814\/21. Factor p*c**2 + 1\/5*c**3 + 8 + 62\/5*c.\nAnswer: (c + 1)*(c + 2)*(c + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479 = 70*w - 221 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3537 and -0.066.\nAnswer: -233.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**2 + 4*u**2 - 5*u**2 + 2*u**2 - 5*u**2. Let y(f) = -144*f**2. What is y(r(j))?\nAnswer: -144*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 13 - 12 = -5*i, -3*t - 20 = -4*i. Solve -4*x + 9*x = t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4*m + 16, 0 = p - 2*m + 9 - 1. Let b(t) be the first derivative of p*t - 3 + 1\/2*t**2. Let j(v) = -15*v. What is b(j(o))?\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1191861, -1191801, -1191741, -1191681, -1191621?\n\"Answer: 60*k - 1191921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -125 - 40923\nAnswer: -41048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 607968, -0.17, 0.5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 905*x**4 + 2*x**3 - 6*x**2 + 63?\nAnswer: 21720*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/2 - 208*u**3 + 32448*u**2 - 2249728*u - 238. Solve g(i) = 0.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 1. Let r(g) = -4*g + 2. Let f(w) = r(w) - 10*t(w). Let v be f(6). Suppose p - v = -6*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99518 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -1868*x + 1864*x + 8, -3*p = -x + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in 0, -4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5758367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 3. Let r = v - -53. What is the second derivative of z - 10*z + 0*z - 6*z - r*z**2 wrt z?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -28*h**2 - 12*h + 10 - 196\/9*h**3. Factor s(y).\nAnswer: -4*(7*y + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1680487, -1680488, -1680489, -1680490, -1680491?\n\"Answer: -h - 1680486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12904 + 1797 = -709*z - 5*z - 293 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -81. Is 29 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 6*h - 5. Let n be u(4). Solve 0 = -n*o - 2*o - 5*q - 20, -q = -4*o - 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7520034 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*i + 8 - 151*i - 2 to g + h*i and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.74403 + -0.03068222\nAnswer: 0.71334778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*h = -1, 4*d = -h + 5*h + 4. Let t(i) = -i + 4. Let a be t(4). Find the third derivative of 0*f**2 - 3*f**4 - 2*f**d + a*f**4 wrt f.\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 114345?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70415*t - 640670*t - 812349*t + 261616*t.\nAnswer: -1261818*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3\/2 (b) 5 (c) -3\/5 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 4*g + 4*g)*((-3 + 2 + 2)*(-2*g + 2*g - g**2) + 14*g**2 + 10*g**2 + 4*g**2)*(-2*g - 4*g + g).\nAnswer: 270*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -38*x**4 + 3*x**3 + 3*x**2 + 32. Let y(p) = p**4 - p**3 - p**2. Let d(n) = k(n) + 3*y(n). Differentiate d(w) with respect to w.\nAnswer: -140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -205 + 272. Suppose 5*d - v + 57 = 0. Solve -3*u - 9 = -2*i, 2*i + d*u - 2 + 8 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 s, and 1 j when three letters picked without replacement from lppjllsplllljpsmpmwj?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 30 = 7*w - z, -3*w = 4*z - 18. Let y = w - 7. Is 462\/24 + y\/4 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 -35, -37, -39, -41?\n\"Answer: -2*y - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5 - 18411*u**4 - 495414*u**3 - 3078852*u**2 + 3592680*u = 0. What is u?\nAnswer: -6110, -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -356*a + 27768. What is c(78)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 282 - 29. Suppose -17*c = f - 712. Let g be 4\/(-6) + 58\/6. What is the highest common divisor of c and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0074 times 28697\nAnswer: -212.3578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -561527.291 - -561791. Let l = n - -0.291. Let d = 263.99999781 - l. Round d to seven dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/14 + 6760\/280?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4 = 2*c + 9, -6 = -4*z + 5*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrurhnrrrurrfffrs. Give prob of picking 1 s and 1 r.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -52. What is the biggest value in -3\/2, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 - 0.79. Which is the closest to s? (a) 0.2 (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 9*y**5\/7 - 1294*y**4\/7 + 52938*y**3\/7 - 683476*y**2\/7 + 488853*y\/7 + 142970\/7 = 0.\nAnswer: -2\/9, 1, 29, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10050411 - 22?\nAnswer: 10050356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/9 - 6316*f**3 - 37880*f**2 + 2045872*f\/9 - 757760\/3 = 0. Calculate f.\nAnswer: -28416, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, f: 2, j: 3}. What is prob of sequence jffj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n**(-6\/5)\/n)\/n*n)\/n**6)**(-6)\/(((n*n*n\/n**(1\/10))\/n)\/((n\/(n*n*n\/(n*n**5*n*n)*n*n)*n*n)\/n)*(n**(-1\/2))**(-6)) assuming n is positive.\nAnswer: n**(373\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvnnvv. Give prob of picking 3 v.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6541\/6 + -91907\/84. Let y be -2 + 4 - 40\/7. Let j = s - y. Sort 1, -1\/5, j in increasing order.\nAnswer: j, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {s: 2, t: 9}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from fhyjogoh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1293421 + 0.1292. Round v to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - s = 40, -8 = 3*f - 2*s - 25 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let f(k) = -k**2 + 7*k + 3. Let y be f(8). Let v be a(y). Find the third derivative of 16*x**5 - 4*x**5 - 8*x**2 - 5*x**v wrt x.\nAnswer: 420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 124 = -20*y + 294. Calculate the remainder when 247 is divided by y.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/60 - s**4\/24 + s**3\/6 + 2*s**2 + 59*s. Let j(c) = -4*c**2 - c + 3. Determine -3*h(t) + j(t).\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/1*18\/4. Suppose -5*l + 5 = 0, -4*d + 23 = -5*l - 100. Let v = d - c. Calculate the least common multiple of 8 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 4:48 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-25))**(1\/25)\/((h*h**(-21\/5)*h)\/h**(-1\/17)) assuming h is positive.\nAnswer: h**(502\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 6*r**2 + 9*r + 14. Let u(f) = f**3 - 15*f**2 + 12*f + 24. Let m be u(14). Let d be b(m). What is the greatest common divisor of d and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -16*a**2. Let t be (2\/3)\/(4\/90*-3). Let v(z) = z**2 - 5*z. Let i(x) = x. Let d(o) = t*i(o) - v(o). Give j(d(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/1643 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 + -99. Solve -2*a + 0*a - g = 3*m, -5*m - 3*a - 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 11*w**2 + w - 13. Suppose 0 = 5*l - 11 - 44. Let v be s(l). What is the closest to -1 in 3, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**3 + 242*f**2 - 406*f - 2387879 wrt f?\nAnswer: 3*f**2 + 484*f - 406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815 - 531 + 957 = 73*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 96*m**3 - 82*m**3)*(14*m - 23*m + 17*m).\nAnswer: 112*m**4 + 32*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15392?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 12 = 4*i + 2*s + 20, -6*s - 84 = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgggmgmmggmmmmgggmgg. Give prob of picking 2 g and 1 m.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 271253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 39 = 2*i - 5*y, -4*i - 4*y = -20. Let x = 274 - 274. Solve x = -3*g + m - i, 2*g + m = -0*m - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 6:39 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-176)\/4*4522\/(-57)*27\/12 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-223815)\/(-12) + ((-27)\/(-12))\/3. Let y = o + -8007. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2d205 (base 16) to base 5\nAnswer: 21403322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146879 is divided by 1813.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 5*m + 8. Let s be i(4). Suppose -16*q - 5*q = 2*q. Suppose -s*f - 12 = -q. Sort 5, f, 0 in decreasing order.\nAnswer: 5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10550792 rounded to three decimal places?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 11, b: 3}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let v(h) = 7*h - 2. Let x(m) = -15*m + 3. Let n(o) = 7*v(o) + 4*x(o). Give j(n(s)).\nAnswer: -11*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i - 2*i**5 + 4*i + (0*i**2 + 2*i**5 + 0*i**2)*(3 + 0 - 1) + (-2 - 5 + 0)*(-2*i**5 - i**5 + 2*i**5).\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*(3 + (-2*sqrt(153))\/sqrt(9) + -2))**2 + 1.\nAnswer: -128*sqrt(17) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -202811512 less than 36?\nAnswer: 202811548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*n + 140. Let f(g) = -g + 6. Let t be f(2). Suppose -t*c + 9*c = 210. Calculate the highest common divisor of n and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -361023\/1450 or -248?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let y(s) = 2*s + 8. Give 3*a(q) + y(q).\nAnswer: -q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, c: 5, k: 1, a: 1, x: 3}. What is prob of sequence cxha?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 7:43 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -11000?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 7:59 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*y - 21*y - 6. Find the third derivative of 7136 - 7136 - 8*x**3 - 31*x**y - 3*x**4 wrt x.\nAnswer: -72*x - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11255, 11269, 11297, 11345, 11419?\n\"Answer: k**3 + k**2 + 4*k + 11249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Let x = 5 + -8. Let n be (x\/(-3))\/(1 - 1\/2). Solve -n*t + t - r = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3)\/(x\/(x\/((x**(-5)\/x)\/x)*x)))**12*(x**(1\/4)*x**(-5)*x)\/(x*x*x*x*x*x**(-4)\/x*x\/(x**4*x*x)*x) assuming x is positive.\nAnswer: x**(353\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 2, k: 5, m: 1, d: 1}. Give prob of picking 1 c and 1 d.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*d - 12*d. Suppose j - 19 = 5*f - d*f, 3*j + 11 = -2*f. Let g = -84 + 84.3. Which is the closest to -10? (a) 5\/2 (b) g (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -6. Let n = -15 + 12. Let p = n - v. What is the biggest value in p, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w + 2*w - 5 - 4*w. Let p(m) = 2*m - 6. Let i(u) = 2*u + 4. Suppose -2*z = -4 + 12. Let c be i(z). Give c*p(k) + 5*r(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 923872014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57094 = -158*a - 26*a - 56174 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 smaller than 386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**5 + 5269*b**4 + 3*b**3 + 5*b**2 + 3482.\nAnswer: -60*b**2 + 126456*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -8) + 0 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1 + 7 = 0. Suppose -96 = -k*o - 0*o. Let a(x) = 11*x - 35*x - o + 24. Let p(z) = z. Determine p(a(u)).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hclllcchcch. What is prob of picking 2 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 287 + -4?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**3\/3 - 3*r**2 - 5*r + 5. Calculate u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11038730.57 - -1.8\nAnswer: -11038728.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 697, 645, 499, 217, -243, -923, -1865?\nAnswer: -3111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/7 in -1\/13, -5, -0.0367?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 31 - 51. Find the third derivative of 10*y**4 - 16*y**2 - 5 + 19*y**2 - x*y**4 - 213*y**5 wrt y.\nAnswer: -12780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4}. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*b - 3629 = 0, 2*s + 26*b - 25*b = 1467. What is the highest common factor of 1387 and s?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/v**3))\/v)\/v**(-7\/6) assuming v is positive.\nAnswer: v**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2913.624 millennia?\nAnswer: 29136.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16\/3, 3, 54, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 8 + 2. Let i be (m\/25)\/(7\/(-5)). Let l = 311 + -311.1. Which is the closest to l? (a) i (b) -0.4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + 64. Put 5, s, 1 in descending order.\nAnswer: s, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 14*j + 69. Let w be g(6). Suppose -2*f - 2*t + 46 = 0, 5*t + 33 - 1 = 2*f. Calculate the greatest common divisor of w and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13989 is divided by 38.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-52 - 44) - 122?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, u: 1, n: 1, c: 1, v: 2, e: 2}. What is prob of sequence ceu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 26*t + 8 + 11*t - 3 - 50*t to u*t**3 + v*t**2 + k + w*t and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 904 + -592. Let d = b + -271. What is the remainder when d is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45660 and 4566.\nAnswer: 45660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 + 68*b**2\/3 + 1525*b\/3 + 3750.\nAnswer: (b + 18)*(b + 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 6*o + 252. Suppose 5*d - 1224 = 2326. Suppose -4*y = -122 - d. Calculate the remainder when y is divided by o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2856701554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**2*q*t**2*v**2 + 20*k**2*q*t**2*v + 9*k**2*v**3 - 4*k**2 + 4*k*t**3 + 505*q*t**3*v**3 - q*t**3*v**2 wrt v?\nAnswer: 54*k**2 + 3030*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 232 = 3*v, 2*v = -3*v + 3*i + 432. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/4 - (8 + -10))\/((-4)\/(-48)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 3. Let d(g) = 4*g + 10. Let o = 38 - 18. Suppose 4*a + 2*w = -2*w + o, -3*a + 5 = 5*w. Determine a*f(i) + 3*d(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13389597 divided by 343323.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6765 - 6700. What is the lowest common multiple of 50 and p?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5691629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.26 and -173?\nAnswer: -44.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 237, 472, 705, 936, 1165?\n\"Answer: -a**2 + 238*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 13 = 1. Is 1\/4 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 9*j**2 + 12*j - 19. Let m be c(10). Suppose -26 = 4*f + 2*r - 0, f - r = m. Which is bigger: -9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t**2 - 118*t + 112*t - 30*t**3 + 27*t**3.\nAnswer: -3*t**3 - 43*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c - 88. Let f be i(-20). Suppose -8*s + f = -272. Calculate the highest common factor of 304 and s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.043 + -0.343. Let p be ((-504)\/255 - -2)*5. What is the second biggest value in p, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/30 and -44\/1743.\nAnswer: 17430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1401 + 1342. Suppose -4*j = 3*t - 11, 3*t - 4*j - 2 = 17. What is the second smallest value in m, t, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10544 is divided by 440?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3)*(3 - 0). Factor -4*u - 2*u**3 + 2*u**2 + u + 2*u**m + u.\nAnswer: -2*u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 32*r + 69 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12598124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 10:56 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-18 + 31 + 53)*(1 + 1 - 3) + 3 + 2 - 4)*(3 - 2*q**2 - 3) + (q - 2*q**2 - q)*(-4 + 2 + 1).\nAnswer: 132*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000647 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -707 (base 10) to base 7\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 203766 or 8354427\/41?\nAnswer: 203766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -6. Let h = 19 - x. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - w + 187*w.\nAnswer: 186*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 24*y - 8. Let j be m(-13). Let p(i) = -i**3 - 5*i**2 - 7*i - 6. Let l be p(-4). Calculate the greatest common factor of j and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3 + 7*u**2 + 10*u - 16 = 0.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -7 - 45. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2 + 29*c. Let q(k) = 4*k. Give s(q(z)).\nAnswer: -48*z**2 + 116*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:32 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1078?\nAnswer: -1\/1078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 24*v - 114. Let s be g(-7). What is the closest to 0 in 1\/7, -3, 0.24, s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41184*s + 3*s**3 + 20574*s + 20610*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12192.1 + 12193. Which is smaller: i or -0.152?\nAnswer: -0.152","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**7\/28 + 7*u**6\/72 - u**5\/12 - 5*u**3\/3 + 12*u**2. Let h(k) be the first derivative of q(k). Factor h(v).\nAnswer: -5*v*(2*v - 1)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/796 and 91\/398.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -16. Let b(t) be the first derivative of 1\/6*t**2 + 1\/12*t**4 + 0*t + 3 - 2\/9*t**z. Factor b(a).\nAnswer: a*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4065 + 4072. Let t(x) = x**2 + 4*x - 56. Calculate t(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*-9 + (3 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-3 + 3)\/(-4))*-10. Suppose 2 - 7 = 3*s - y, 0 = 2*y - o. Solve -5 = w - s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140496 and 17035140.\nAnswer: 68140560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-21)*-93 - (-36)\/63. Which is the third smallest value? (a) -0.3 (b) -3 (c) 26.3 (d) r (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/225*-3*180\/(-81)*57\/(-4).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84803753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 18*s - 54. Let l be n(-37). Suppose 0 = -5*w + 669 - l. Solve -7 + w = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*z - 173693 + 116172 = 0 for z.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 + 0.8. Let h be 2028\/13 + ((-2)\/1 - -4). Let z = -145 + h. Which is the third smallest value? (a) s (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 8. Let i be u(-10). Solve 0*d = -i*d + 5*v - 10, 0 = 3*d + v - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1300) - 1*sqrt(1300)))**2*2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-21 - -2 - -4 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -239400 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvdzaa. Give prob of picking 1 a and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.0346, -1\/4 in decreasing order.\nAnswer: 0.0346, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 26*t**3 + 7*t**2 - 17. Suppose -5*n - 6 = 29. Let x(k) = -17*k**3 - 5*k**2 + 11. Let m(j) = n*x(j) - 5*b(j). Differentiate m(q) wrt q.\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 5*z**2 - z - 10. What is a(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/83, 4, 0.4, -0.3 in ascending order.\nAnswer: -1, -0.3, -1\/83, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3\/43 (c) -0.2 (d) -0.06 (e) -1\/4896\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541 = -2*p - 539. Calculate the common denominator of 41\/22 and (-1620)\/(-24)*p*2\/280.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -167321, -167338, -167355, -167372?\n\"Answer: -17*v - 167304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 470443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, 2, -7, 19 in increasing order.\nAnswer: -7, 2, 3, 17, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r - 1. Let h be i(-2). Calculate the remainder when 0 + 3 - (h - 5) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 332*a**2 + 7904*a + 40432.\nAnswer: 4*(a + 7)*(a + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 19*k. Let d(y) = -247*y. Let u = -13480 - -13483. Give u*d(s) + 38*p(s).\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1334\/117 - 104\/9. Let k(z) = -z**3 + 5*z**2 - 7*z + 12. Let l be k(4). Which is the fourth biggest value? (a) 0.2 (b) y (c) 7\/6 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -376, -795, -1368?\nAnswer: -2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 569425.7299922 + -569411.73. Let v = w + -14. Round v to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2) - sqrt(32)*5) + -5.\nAnswer: -19*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 <= 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3381 or 0?\nAnswer: -3381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 15*l**2 - 16*l - 5. Let c be s(-14). Let w = c + -25. What is the units digit of (1\/w)\/((-1)\/178)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -977 - -979. Suppose -5*f + 41 = 4*n, 0 = -3*f + 5*n - 1 - 4. Solve -5*w = f*s + 25, -3*s + o - 11 = w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 != 1148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (15\/9)\/(-5)*((-79488)\/16)\/72\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*q**2 - 19*q**2 + 9*q**2.\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from dptiutffu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -13. Let s be m\/7 + (-1 - 130\/(-35)). Suppose 0*x - s*x - 1122 = -3*f, 4*f = -2*x + 1490. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(200)*-1).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 6 (b) -1\/3 (c) -2 (d) -5 (e) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48940, 194040, 435874, 774442, 1209744?\n\"Answer: 48367*s**2 - s + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209)*-1 - sqrt(209))*-3 - ((sqrt(209)*-1 - sqrt(209))*-5 + sqrt(209) - sqrt(209)))\/(2*sqrt(99)*-3))**2*-2.\nAnswer: -152\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 5*l + 4*l)*(0 + 0 - l**3) - 8*l**4 + l**4 + 9*l**4.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 2 - 2)*(-16*k - 3*k + 3*k) + (-2 + 3 - 4)*(2 - 2 - 2*k).\nAnswer: -218*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173594207*i - 8*i**2 + 173594207*i.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*w + 9674 = 7349 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45\/(-24)*-2 + (-2)\/(-8). Solve -19 = f*t + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -3 - -5) + -2 - -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**4\/2 - 2*k**3\/3 - 3*k + 12. Let u(r) = 3*r**3 + 3*r**2 + 5. Let p = 9 + -6. Give p*u(s) + 5*q(s).\nAnswer: -s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20872433.\nAnswer: 20872433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 14. Let u be 15\/150 + 399\/10. Calculate the highest common divisor of u and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6607*r + 165687. Calculate u(-25).\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.377 - 11.573. Let b = x + 12. Let l = 0.15 + b. What is the third smallest value in 4, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4) + (-18)\/(-4). Suppose p*u - 8 = -4*w, -5*u - 16 = -u. Suppose w = -0*b + b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 14*h**2\/3 - 14*h - 44\/3.\nAnswer: 2*(h + 1)*(h + 2)*(6*h - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 283.9802 + 0.0198. Let w = 147 - t. Let y = w - -136.9208. Round y to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**5\/20 + 2*r**4\/3 - 4*r**2 - 12*r. List the prime factors of w(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r + 0*r = 1560. Suppose -469 = -53*m + r*m. What are the prime factors of m?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 6 + (1 - 3 + 4)*(0 + 1 + 1) + (1 - 1 + 1)*(0 + 0 - 1))*(2*z**4 + 0*z**4 - z**4).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -209\/2520 and -149\/1680.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) - 4\/(-8). Which is the second biggest value? (a) 1.5 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5487692 to the power of 1\/2, to the nearest integer?\nAnswer: 2343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 4 + (-2 - 10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 10 - 9856\/1120?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 15*i**3 - 13*i**2 - i**4 + 4*i**4 + 19 - 18*i**3 + 16*i**2 as x*i + q*i**4 + l*i**3 + c + r*i**2 and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 10 = -13*i + 9*i. Solve -4*l = k + 6, -2*l + 7 = -4*k + i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 3. Let d be x(5). Let b be d\/(-4) + 6\/4. Find the second derivative of 2*g**5 + g**5 + 0*g + b*g - 6*g**5 wrt g.\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/5 - (-11 - 594\/(-55)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 8. Let a be r(-13). Let v(z) be the first derivative of 0*z**2 + 1\/12*z**3 - 2 + 0*z - 1\/8*z**4 + 1\/20*z**a. Factor v(s).\nAnswer: s**2*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/328 and -87\/19516?\nAnswer: 39032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*g + 2*g + 4*s, s = g - 3. Let l = 0.95 + 0.05. Which is the nearest to g? (a) l (b) 0 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*(22 + -186). Let t = r - 82. Solve a + 3*p - 13 = t, 3 = 4*p - 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*s)*(-5*s**3 - 2*s**3 + s**2 + 6*s**3).\nAnswer: 2*s**4 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5312 and 10018944.\nAnswer: 831572352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*q**3 - 96*q**3 - 94*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 4*p + 10. Let o be j(8). Let b = -171 + o. Which is smaller: b or 2\/95?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2. Let a(k) = -48*k**2. What is a(i(t))?\nAnswer: -48*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -20*v**2\/3 + 4*v\/3 = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2) + 0)*4. Is (11\/z)\/(4\/88) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 178451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-115)\/92*(-1)\/((-10)\/8178). Let s = r - -1028. Which is smaller: s or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 smaller than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 39\/18 - 2192\/2466\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 47 + 21*g)*(6 + 5 - 6)*(0 + 0 + 1)*(-2 + 0 + 1)*(0*g - 3*g + 0*g).\nAnswer: 315*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*i = 2*f - 2, 0 = 2*f + i - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -291 + 690. Suppose -f = 9*h - 444. Which is the second smallest value? (a) -2\/7 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -11*v - 27*v + 19*v. Let h(x) = 4*x**2. What is h(p(j))?\nAnswer: 1444*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78733\/4 or 19682?\nAnswer: 78733\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -860, 6, 5, -3.\nAnswer: -860, -3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 84?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(2\/41))**(1\/11)\/(p**(-13)*p**(1\/11)) assuming p is positive.\nAnswer: p**(5906\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 1259*q**2 - 46338*q**2.\nAnswer: -45079*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = -5*o - 61101, u + 48888 = -4*o. Let k = 779 - o. Suppose 13*r - 12*r + k = 0. What is r rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**3*x**2 - 2*a**2*h*x**3 + 7*a**2*h - a*h*x**2 - a*x**3 + a*x + x**3 wrt a.\nAnswer: 18*a*x**2 - 4*h*x**3 + 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/18*2 + 14 + -10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-11) + (-750)\/2310.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 21*t**3 - 2*t**2 + t. Let b be v(1). Let d be 3815\/(-147) + (-3)\/63. Let l be 3 + d\/8 - (-65)\/b. Solve 0 = -i + l*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -25*v**2. Let w(y) = 2 - 213*y - 129*y + 398*y. Determine h(w(d)).\nAnswer: -78400*d**2 - 5600*d - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*(494\/76)\/13\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -0.2, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/21, -4, 693?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2917\/24 - 365\/3. Let p = 59 - 54. Which is the closest to 3\/7? (a) -1\/6 (b) j (c) p (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 9*o + 8*o - 18*o**2 - 26*o.\nAnswer: -18*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 14*h**2 - 15*h - 10. Let m be t(-10). Suppose -3*i + i - m = 0. What is i rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + -2 + (10 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 19*l**2 + 36*l + 141. Determine t(-10).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -116*i**2\/3 + 644*i + 680\/3.\nAnswer: -4*(i - 17)*(29*i + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 710 = -2*k, -k + 4*k + 3*y + 1050 = 0. Let m = -756 - -257. Let q = k - m. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5))\/(((-12)\/15)\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = a + p + 15, -3*p = -3*a + 30. Suppose 0 = -2*t + t - 2*y + 1, -4*t + a*y = -17. Solve t*h = -0*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, j: 1, e: 1, w: 1}. Give prob of sequence en.\nAnswer: 1\/12","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 {e: 5, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(5) + (sqrt(10)\/sqrt(2))**2 - sqrt(30)\/sqrt(24).\nAnswer: sqrt(5)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 1120002102?\nAnswer: -1120002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 6) to base 2.\nAnswer: -1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/41, 41, 3\/4 in descending order.\nAnswer: 41, 3\/4, -4\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -343 + 369. Let z = 25.9 - g. Is -71 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1542, 1540, 1538, 1536?\n\"Answer: -2*x + 1544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 6*d**2 + 2. Let j be m(6). Let o be 0 + j + 0 + 1. What is the third derivative of 5*c**4 - o*c**4 + 0*c**4 - c**2 wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -3\/4, 390, -1\/4, -6, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -4*n**6\/3 - 3*n**3 - 2. What is the third derivative of s(d) wrt d?\nAnswer: -480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-4)\/2 - (7 - 5). Suppose 0 = p + 4*b + d, -b - 3 = p - 4. Solve -v + 3 = -p*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13368 + 2286?\nAnswer: 15654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 7*g**2 - 6*g + 17. Let n be w(8). Calculate the smallest common multiple of (-72)\/(-14)*154\/n and 33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/516 and -21\/476440.\nAnswer: 1429320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 6:05 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.09 and -0.2012?\nAnswer: 0.8888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4 - 1 = 0. Let j be o*(-3 + (-3)\/(-1)). Solve 4*f = 8 - j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 - 313*j - 5345. Give q(-137).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4926208, -9852419, -14778630, -19704841?\n\"Answer: -4926211*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 15*l - 808. Let k = l - -381. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 250.69 - 250.59. Let g = -0.2 - 0.8. What is the nearest to p in -5, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - 5116441?\nAnswer: -5116457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyyyooyosoyoooyoyyoo. What is prob of picking 1 o and 1 s?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/18)\/((-1)\/3). Let j be ((0\/(-2))\/g)\/1. What is the units digit of 1 + 13 + (j - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - 49*u + 19698. What is the ten thousands digit of k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483623.73 plus -36560?\nAnswer: 447063.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.313 * 125.7.\nAnswer: -39.3441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -6*o - 14. Suppose 0 = o*m + 2*t - 474, 5*m - 5*t = 320 + 915. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = -11*h - 44 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 4*g**2.\nAnswer: -4*g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {t: 4, m: 5, a: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16 - 16)*6\/30. Which is the second smallest value? (a) 5 (b) -62 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22490?\nAnswer: 2, 5, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 53\/2 + 4 + (-2)\/(-4)*1. Suppose -2*y - 3*y - 15 = 0. Are w and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118.43 - 17.13. What is x rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -131205 - 2?\nAnswer: -131207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33224*x**2 + 2 - 10567*x**2 - 6652*x**2.\nAnswer: -50443*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5658*q + 368. Let y(f) = 118*f + 7. Let j(n) = 154*n + 9. Let b(c) = 2*j(c) - 3*y(c). Give -368*b(u) - 3*p(u).\nAnswer: -46*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 542742 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147952.4l to millilitres.\nAnswer: 147952400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2645*f**3 - 2739.\nAnswer: -7935*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 0 - (-1 - -4 - (0 + 12) - -3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/86 and 53\/266.\nAnswer: 11438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -809 + 1719. Calculate the remainder when q is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 237 - 232. Let c = 0.06 - 0.1. What is the third biggest value in c, u, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 7*t - 10*t. Let q(b) be the first derivative of t*b**4 + 0*b - 4 + 3\/5*b**5 + 0*b**3 + 3\/2*b**2. Find the second derivative of q(f) wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 343*s - 17098. Determine f(51).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1062126, -2124630, -3187134, -4249638?\n\"Answer: -1062504*g + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 33. Let f = h - -25.971. Let p = 0.529 + f. Which is the closest to 0.2? (a) p (b) -4\/5 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-4))\/((-6)\/8). Let o be 14\/336*860 - (-5)\/(-6). Suppose -a - g*a = 5*n - o, 0 = 3*a + 4*n - 40. What is the highest common divisor of 160 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -422*u**2 + 145*u + 145. Calculate s(-1).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -22*n**3 + 5. Let l(s) = 33*s**3 - 8. Give -8*k(i) - 5*l(i).\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = n + 5*n. Is (-1754)\/(4\/12*n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447.75138 rounded to the nearest integer?\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270, -282, -296, -306, -306, -290, -252, -186?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 4*w - 13. Calculate z(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -7 + 19. Suppose -q = -2*d + 2. What is the remainder when 138\/d + (-6)\/(-21) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = -669 + 3609. What is the highest common factor of i and 580?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467*s + 12149994 = 44900237. List the prime factors of s.\nAnswer: 19, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 4*t**3 - 70*t**3 + 4*t**3 - 27*t**3 + (t**2 + t**2 + 0*t**2)*(-3*t + 4*t + t) + (3*t - 2*t + t)*(-t**2 + 7*t**2 - 3*t**2).\nAnswer: -87*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -9*z + 5*n + 10, 3*z - 4*n = 8. Suppose 21*b - 30*b + 2907 = z. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(1\/4)*n)\/n*n*n*n*n**9)\/((n\/n**12)\/n*n*n\/((n**(-3\/5)\/n)\/n)) assuming n is positive.\nAnswer: n**(413\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 5. Let o = 0 - f. Let k = -1098\/5 - -220. What is the nearest to -0.1 in k, o, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -243 or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 336.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-2 + -1 - -1). Suppose b = -2*v - v. Suppose -4*r + v = o + 6, -r - 2 = 0. Calculate the greatest common divisor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 19 + 6858*s**3 - 6845*s**3.\nAnswer: 13*s**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1.2. Let p be (10 + -4 - 6) + 12\/3. Let i = 308 - 312. Which is the fourth biggest value? (a) p (b) i (c) 3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, -3\/2, -3, -4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1198, -2357, -3512, -4663, -5810, -6953?\nAnswer: -8092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/210 and -48\/71755.\nAnswer: 3013710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-21) + (-65)\/546. Let o be (2 - 2)\/(-1 + 0). Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509509873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*m - 9316 + 18532 = 10104 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**4\/12 + 10*d**3\/3 + 5*d**2\/2 - 440*d + 1. Give g(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641482 a multiple of 1559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let o(g) = -4*g. Let v(n) = -o(n) - 2*t(n). Let w(d) = 3*d + 0*d + d + 2*d + d. What is w(v(u))?\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) - (sqrt(847) - sqrt(847)*2)) + sqrt(847))**2 - (sqrt(448) + sqrt(448)*-5)**2) + (sqrt(252)*5 - -1*(3*sqrt(7) - sqrt(7))).\nAnswer: 32*sqrt(7) + 455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -144?\nAnswer: -57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v + 794 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-3)*135\/20. What is the tens digit of (21\/(-9))\/(6\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -3 + 1 + -6 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447695670.\nAnswer: 2, 5, 23, 37, 311, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -507, -1020, -1537, -2064, -2607, -3172, -3765, -4392?\nAnswer: -5059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -31\/2 (b) 0.1 (c) -0.207 (d) 0.132 (e) 2 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 8:32 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97752 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 111315 - -60?\nAnswer: 111375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2527*a + 9647 + 71391 = -45135 + 7404 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31576, -31584, -31590, -31594?\n\"Answer: g**2 - 11*g - 31566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*q + 190, -2*q = -5*y + 210 + 23. Let c = y + -27. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75494a (base 11) to base 13\nAnswer: -333525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -316 - -366.6. Let j = 0.6 - a. Let l = 50.00000055 + j. Round l to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 15 = 10*s. Sort -5, s, -77 in increasing order.\nAnswer: -77, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/13)*(o\/o**(3\/7))\/o*((((o\/o**(-1)*o*o)\/o)\/o)\/o)**(2\/69) assuming o is positive.\nAnswer: o**(-2026\/6279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -21505?\nAnswer: -21510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(sqrt(4320) + -4*sqrt(4320) + sqrt(4320))\/sqrt(6)*-2*-6.\nAnswer: 1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80415557374 + 11*a**2 - 80415557374.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 17.77, -0.12?\nAnswer: 17.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26999 is divided by 146?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 + 6208*u**2\/9 - 12430*u\/9 - 6212\/3.\nAnswer: 2*(u - 3)*(u + 1)*(u + 3106)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 225 + 281. Suppose -743 = 5*o - p. Find the common denominator of 6\/8 + o\/(-24) and -149\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/45 - -19\/10. Calculate the common denominator of 41\/6 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-589)\/190)\/((-88)\/10) and -39\/44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from tzzzzzzzodzdz.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/27 and 64\/5253?\nAnswer: 47277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*b**5*p**2*s**2 - 2*b*p**2 - b*s**2 - 2*p**2 - 2*p*s**2 wrt b.\nAnswer: -1340*b**3*p**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, m: 4, k: 1, p: 4, n: 3, z: 1}. Give prob of sequence en.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*g - 25 = 175*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80326 divided by -2.\nAnswer: -40163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, -5, -1, -0.4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r - 4*r + 11*r + r**2 to w*r + i*r**2 + b and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/50796 and 109\/8466.\nAnswer: 50796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572553?\nAnswer: 3, 63617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/560*-24)\/(6\/(-8))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5*s - 3)*(2*s + 3*s - 4*s)*(s**2 - 3*s + 3*s).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i. Let s(k) = -3*k**2 + 50*k. What is s(h) - 4*t(h)?\nAnswer: -3*h**2 + 66*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - -4 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 43 = 5*d, -4*d + 3*w + 15 = -d. Let v(l) = l**2 - 4*l + 7. Let c be v(d). Suppose -3*z - 9 = -0, 0 = 4*r + 3*z - c. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -108 (b) 1\/6 (c) -5\/2 (d) -2\/19 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 3*i - 54. Determine y(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1596*v - 90045. Calculate y(-59).\nAnswer: 4119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 9, c: 5, r: 2, t: 2}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -z - 29. Sort -5, z, -4.\nAnswer: -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28507.7 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 43 - 49 - 3*d.\nAnswer: -3*d - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Let y(r) = -r**2 + 6*r - 7. Let k(p) = p**2 - 5*p + 6. Let g(f) = 5*k(f) + 4*y(f). What is the units digit of g(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 6*g + 49. What is the remainder when f(0) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 5\/11 (c) 2 (d) 0 (e) -1 (f) -0.04041\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*q + 211*q - 160 = 0. Let z = 114 + q. Which is smaller: 81 or z?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 239998*d - 20. Suppose -b = -u + 4*u - 14, 0 = 5*b + 4*u - 92. Suppose 0 = 3*x + b + 10. Let q be n(x). Round q to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. Suppose 3 + v = h. Is (-1)\/4 - (-53)\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9 + -10)\/(3*-1)*18210?\nAnswer: 2, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65520 divided by 105?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3 + 66747962*c**2 - 40084624*c?\nAnswer: 6*c + 133495924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 326 - 272. What is the highest common divisor of 81 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2895 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p**2 + 6*p + 12. Let q be m(-4). Let s = q - 121. What is the highest common factor of s and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85259 + -57766. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 391 = -2*v + 149, -2*v - 53 = -t. Suppose -5*y + 33 + 47 = 0. What is the remainder when t is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6272718 and 8005?\nAnswer: 31363590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12089 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000531907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 8*g - 9. Let t be s(-6). Let p(n) = -7 + 3*n + 0*n + 2 - t. What is the remainder when p(6) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/78*106\/(110664\/754)\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2108 and 1730396?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 5, s: 14}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 356, 787, 1372, 2105, 2980?\nAnswer: 3991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6714708199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**2*m))**23\/(m*m*(m**(-1\/2)*m)\/m*m)**(-44))**(2\/41) assuming m is positive.\nAnswer: m**(128\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 11112011012120?\nAnswer: -11112011012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(4\/(-42) + (-91)\/(-931)). Do a and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*x + 9244 - 10764 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2364 and -29\/479301.\nAnswer: 1917204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.35649 to 1 dp.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1019 + 1847. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32\/67105307 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Suppose -3*o + 12 = 0, 2*i + 2*i + 3*o - 1212 = 0. Suppose f = -j - 4*j + i. Calculate the highest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147818 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2 - b**2 - 11 - 3 + 13 - 9*b. Give h(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.3 - 0.3. Let f = -1\/51 + 160\/357. Let d be (1\/(-2))\/(3\/2). What is the closest to d in f, s, 2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -204 + -4?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-16)*(-1520)\/(-38). What is the closest to -1 in -0.2, n, 5, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-4) + -4)*1*12\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -151 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*a**5 + 69*a**4 - 87*a**3 - 33*a**2 + 96*a - 36 = 0. Calculate a.\nAnswer: -1, 2\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2921.75*-315\nAnswer: -920351.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 94201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**4\/24 - 1122*v**2. Let i = -2 - -1. Let z = -4 - i. Calculate b(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18))**2 + -3 + sqrt(288) + sqrt(2).\nAnswer: 15 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 827939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l - 102 = -13*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*r - r = 8, 5*y + r = -6. Let v(m) = -6*m. Let x be v(-6). Let q be 2\/(-2) - x\/(-40). Which is the third biggest value? (a) y (b) -1\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44870\/3 + 14956. Sort -0.0599, 2\/13, h in decreasing order.\nAnswer: 2\/13, -0.0599, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -195318082*g*u**2 + 16*g*u - 8*g + 86*u + 138 wrt u.\nAnswer: -390636164*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**26)*s*s**(2\/29)*(s**1)**(-2\/37) assuming s is positive.\nAnswer: s**(28987\/1073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**4 + 348*w**3 + 5*w**2. Let g(r) = -3*r**4 + 174*r**3 + 3*r**2. Let c(s) = -5*g(s) + 3*j(s). Factor c(b).\nAnswer: -3*b**3*(b - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19037209 is divided by 362?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -10*z - 68. Let x be 36*((-20)\/5)\/z. Solve -x = -0*n - 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 - 87*w + 24. Let b be u(-22). Suppose 0*q + 10 = 2*q, -5*q + 1385 = b*i. Is 53 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -302.\nAnswer: 6644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1659168 and 23\/395040.\nAnswer: 8295840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyhhythyhgyd. Give prob of sequence dy.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3558, -28458, -96050, -227682, -444702, -768458, -1220298, -1821570?\n\"Answer: -3558*v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t\/t**(-24)*t)\/t*t\/t**(-11\/3) assuming t is positive.\nAnswer: t**(95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 5, 10, 3, -2 in decreasing order.\nAnswer: 10, 5, 3, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.8487664 to 3 dps.\nAnswer: -5.849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.5 or 345?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 1. Let i(s) = -3*s**3 - 2*s**2 - 3*s + 9. Let p(m) = -i(m) + 6*v(m). Suppose 5*n - 22 - 1 = 4*t, -n + 3 = 0. What is p(t)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -194*u**2. Let s(z) be the second derivative of -2*z**3\/3 - z - 118. Calculate c(s(a)).\nAnswer: -3104*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m = -1955. Let f = m + -387. Solve -3*r = -5*r + 5*d + 1, 5*d + f = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25248 and 34862491.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 2644305 and 2644306 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/11 - 6*h**4\/11 - 40*h**3\/11 + 96*h**2\/11 + 128*h\/11 = 0 for h.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/96579 and 115\/1058792.\nAnswer: 28587384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 8}. What is prob of sequence rxr?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43318380?\nAnswer: 2, 3, 5, 7, 17, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i + 1. Let f be p(5). What is the units digit of ((-1)\/1)\/((-3)\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18717479*s + 26001954.\nAnswer: -18717479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.976 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0.9. Let y = 51 - 53. What is the nearest to b in y, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523067 = -3*r - 7*x + 8*x, -3*x - 348716 = -2*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - m + 4*m)*(2*m + 24*m**3 + m**3 - m**2 - m**3).\nAnswer: -24*m**4 + m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 1. Let o(g) = -g + 3160 + 11*g - 4*g**3 - 4*g**3 - 3170 + 2*g**3. Calculate 10*h(q) + o(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 8 = -k - 21, n = 5*k + 25 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*d**4 - 9*d**3 - d**2 + 828*d - 4 wrt d.\nAnswer: 204*d**2 - 54*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (25\/(-5) - -4) + -1. Calculate the lowest common multiple of (t\/(-2))\/(5\/20) and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 3, w: 1, u: 2, q: 3}. Give prob of sequence hw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13\/(-26))\/((-2)\/12*1). Suppose 4*j - 724 = -t + 911, -w*t + 4915 = 2*j. What are the prime factors of t?\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j. Let x be (-1 + 20\/12)*54. Let f(k) = 4*k**2 - k. Let v be f(-1). Let s(a) = -32*a - v + 5 + x*a. What is h(s(t))?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*z + 55. Suppose -a = -26*d + 24*d + 19, -2*d + 3*a + 9 = 0. What is the highest common divisor of d and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 45*i + 11*i + 108 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 1815.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8 = 2*t. Let d be (-33)\/44 - (-6)\/t. Suppose -2*i - 2*i + 12 = d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 0*f**3 + 1\/25*f**5 + 0*f**2 - 1\/45*f**6 + 3*f + 5 - 1\/90*f**4. Factor c(k).\nAnswer: -2*k**2*(k - 1)*(5*k - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**2. Suppose 5 = 5*o, 3*o + 89 - 479 = -3*j. Let k(p) = 129 - j - p. What is l(k(g))?\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17\/133 - 2\/133. Suppose 2*d + t + 1 = 2*t, 0 = -d - 5*t + 16. Which is smaller: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((176\/(-36))\/11)\/(35\/(-714)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8129111 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-3) + 1 + 3. Let o be -4 + f\/4 + 3. Suppose 0 = q + o*x - 11, -68 = -q - 2*q + x. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 6*p**2 + p - 6. Let f be d(6). Suppose 0 = -2*x + 10 - f. Suppose -x*b = -3*b. Is 2 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5446*f + 38121. Give a(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4991, -4980, -4963, -4940, -4911, -4876?\nAnswer: -4835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -170 + -68?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -u + 2. Let i = u - -12. Let q be 1100\/(-40)*(-2)\/5. What is the greatest common factor of i and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-10))\/(8\/(-40)). Suppose 10 = t + k*l, 0*t - 4*l + 17 = 5*t. Let i be (-12)\/72 + t\/516*134. Is i at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618 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: -34 + (-22 - -26) + 11 - 34\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -1.804.\nAnswer: 10.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 - 2)*(-28 + 10 - 1)*(-4*k + 2*k + 6*k) as j*k + i and give j.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 32099443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 391 = -5*g, -170 + 1 = -2*g - 5*o. Suppose -k - 3*r = -14, r - 9 = -k + 3*r. What is the highest common factor of k and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -63, -90?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(136) + sqrt(136))*2 + sqrt(136) - sqrt(136) - sqrt(136)) + sqrt(136) + sqrt(136))\/(3*sqrt(72)).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 9:24 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 79\/(4*2\/24). Let o = 105 - j. Let p be (2 - o\/(-45))\/((-4)\/(-6)). What is the third smallest value in 2, p, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 - -133. Which is the nearest to -1? (a) 4\/3 (b) 2.8 (c) 0.3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-120))\/((-1)\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185 + -169. What is the smallest value in 0.1, 4, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - w + 2. What is x(2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 8*g + 4. Let v be d(8). Let a be 22\/v*(-1*2 - -40). Calculate the greatest common factor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 10*r + 21.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 13 = 3*o. Suppose -2*m + 16 = v + 3*v, 2*v - 2*m + 4 = 0. Let r be (-22)\/44*(-1)\/v. Put o, -1, r in increasing order.\nAnswer: -1, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-6)*-44*(-43)\/473?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2465 to 1 decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-44)\/(-2)))\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4502*o**5 - 62758*o**2 - o - 4?\nAnswer: -270120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 654280.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -8.9. Let g = -8.9 + n. Sort g, -2\/13, -5 in decreasing order.\nAnswer: -2\/13, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -313 - -317. Suppose 198 = r*u + 4*w - 2*w, 0 = -u + 4*w + 54. Calculate the greatest common factor of u and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1267?\nAnswer: -1267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 48296*s**2 - s - 2. Is d(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -14 in ascending order.\nAnswer: -14, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1202 + 233?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 44101 + 37163 = 0. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-7*((-3780)\/147 + 26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*r + 3*r + 6 = 0, -r = 2*n + 3. Which is smaller: 5\/9 or n?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Let u be 1 - (1 - 1) - j. Find the common denominator of ((-15)\/12 - u)*158 and 9\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*(f**5\/f)\/f)*f)\/f**(-2))**21*f**(-4\/17)\/(f**(1\/4)*f**4\/f) assuming f is positive.\nAnswer: f**(1191\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4176883640?\nAnswer: 2, 5, 937, 111443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u*v**4 + 14*u*v**2 + 54*u*v + 6300*v**5 wrt v?\nAnswer: 24*u*v + 378000*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003660188 to six decimal places.\nAnswer: -0.00366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 6\/(-4))\/((-11)\/(-88)). Is a greater than or equal to 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.38, -14.\nAnswer: -14, -0.38, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 117 = -5*b. Let l be (-42)\/(-8) - 1\/4. Suppose 0 = -x + l*v + 97, 0 = -5*x + 3*v + 239 + 268. Calculate the remainder when x is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 + 22*q**2 - 367*q - 114. Determine c(-20).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*o - 1985 = 531 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 503*b - 506*b = -17, 2*b = -5*l + 48 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 16 = -21, 0 = 3*w + 5*f - 665. Let c = 1024 - w. List the prime factors of c.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14 - 8)*2\/4. Suppose -5*r = -g*r - 6. Let h(l) = r*l + 5 + l**2 - 3 - 3 - l. Calculate h(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3565386*r + 65480. Let g(l) = -3268*l + 60. Let t(z) = 3274*g(z) - 3*k(z). Let p(a) = a. Calculate p(t(n)).\nAnswer: -3274*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 806*b - 4 = 2*g + 801*b, 0 = -g - 4*b + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1940, 3888, 5838, 7790, 9744?\nAnswer: 11700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n = -18*n - 428. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637996 is divided by 975?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 172613 divided by -3?\nAnswer: -172613\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgzgmoozwwlzgo. Give prob of picking 1 z and 1 w.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 y when three letters picked without replacement from xyyyyyyyyyyyyyy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19786 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -4028118.\nAnswer: 1\/1342706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 7765939?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 108555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2. Suppose 0 = 30*u - 24*u. Let p be -3 + -3 + (u - -3). Let f(z) = -3. Let g(l) = l**2 + 8. Let k(r) = p*g(r) - 8*f(r). Calculate k(n(h)).\nAnswer: -75*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*g + 72 = 2*l, 3*g + 93 = 4*l. Let i be ((-8)\/(-12))\/(6\/9). Let j be 1*i*(-6)\/(-3). Solve j*o + c = -9, -4*o = 4*c + c + l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2 + 560*r - 15912 = 0.\nAnswer: -306, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.276262438 rounded to four decimal places?\nAnswer: -0.2763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14557041 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26 - 27)\/((-1)\/(-9)). Let l be (-56)\/w + 10\/(-45). Let c(a) = 2*a - 2. Let z be c(4). Calculate the highest common divisor of z and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(3\/20)\/((l*(l\/((l\/(l*l**(2\/17)))\/l))\/l*l)\/l**(-5)))\/((l**(2\/9)\/l)\/(l*l\/l**0)*(l*l**(-2\/9)*l*l*l)\/((l*l\/l**5)\/l)) assuming l is positive.\nAnswer: l**(-4409\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 229*p**5\/10 - 775*p**4\/6 + 85*p. Find the third derivative of k(c) wrt c.\nAnswer: 2748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 149400000 to the nearest 1000000.\nAnswer: 149000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343*v**4\/6 + 49490*v**3\/3 + 7077*v**2 + 3034*v\/3 + 289\/6 = 0. What is v?\nAnswer: -1\/7, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -aac9 (base 16) in base 14?\nAnswer: -11d0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 678367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 143.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 443738000 rounded to the nearest 1000000?\nAnswer: 444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633070 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -39945020?\nAnswer: 39945025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1))**(-1\/4)\/(w*w**(-1\/8)*w**(-3\/11)))**27 assuming w is positive.\nAnswer: w**(-2619\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10111111000001001010?\nAnswer: 10111111000001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4 - 7. Let k be 2 + 2 + 124\/r. Let f be 10\/k - 6\/(-8). Which is bigger: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.3 - -23.4. What is the nearest to l in -8, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 405.8701 + -617.053.\nAnswer: -211.1829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 7*a + 8. Let m be 204\/26 - (-8)\/52. Let c be d(m). Solve l = -3*b + 6 - c, -5*l = -15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 240\/7?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -1\/3.\nAnswer: -3, -1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**5 - 28*s**4 + 604425*s**2 - 18780051*s wrt s.\nAnswer: -20*s**3 - 336*s**2 + 1208850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3063*j**3*m**2 - 905*j*m**3 + m**3 - 133*m**2 - 13*m - 66 wrt j?\nAnswer: -9189*j**2*m**2 - 905*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(24)\/((sqrt(300)\/sqrt(5))\/sqrt(5)))**2 + 5 - -2*(2 + (sqrt(12)\/(sqrt(600)*1))**2).\nAnswer: -24\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1651986 and 471996?\nAnswer: 3303972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.06 + -0.06. Which is the third biggest value? (a) 152 (b) j (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**3 - 20*k**2 + 2 + 2*k**4 + 6*k - 4*k + 18*k**2 to w*k + d + g*k**3 + h*k**4 + a*k**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990459 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 6:20 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oof when three letters picked without replacement from {o: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3 = 7*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t + 94 = 281 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*n + n. Suppose -l = -n - 1. Suppose -l*t = 33 - 111. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*v**4 + k**3*v**2 - 6941*k**3*v - 4*k**2*v**3 + 106*k*v**4 wrt v?\nAnswer: 24*k**3*v - 24*k**2 + 2544*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27302?\nAnswer: 2, 11, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -20*y**3 - 3189*y**2 - 1443*y - 1914. Determine b(-159).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23243 - 4?\nAnswer: 23234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (192\/10)\/((-51)\/(-6120)). Suppose -s = -37*y + 5*y. Which is smaller: y or 218\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 - 191 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2*2 - -37*38\/(-2812).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrzzrrpzrrzrrzr. Give prob of sequence rpz.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 3600?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1617 divided by 147.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (4 - (-3)\/3). Let k(l) = 3*l + 1. Calculate the remainder when k(m) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/5)\/d*d\/d**(2\/3))**(-12)\/((d\/(d**4*d))\/d*d*(d**0\/d)\/d)**39 assuming d is positive.\nAnswer: d**(1126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -2241.\nAnswer: -11\/2241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6293 + 228044. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**6\/5 - v**5\/30 + v**4\/8 - v**3\/3 + 96*v**2. Let a = -4 + 5. Calculate the remainder when 42 is divided by q(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -85. Let s = g + 24. What are the prime factors of (1 - 31)*s\/12?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -421 (base 12) in base 10?\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18786, -75162, -169130, -300690, -469842, -676586?\n\"Answer: -18796*v**2 + 12*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8558512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {r: 2, d: 2, b: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -311 + 143200?\nAnswer: 142445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - -27. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 8295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**6\/90 - c**5\/5 + 12*c**3 + 104. Let f(h) be the third derivative of w(h). Factor f(p).\nAnswer: 4*p*(p - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7245 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 17*p**7\/210 + 5*p**4\/6 + p**3\/3 + 33*p**2. Find the second derivative of r(o) wrt o.\nAnswer: 204*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a8 + -21?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -11*a - 57. Let y be r(-6). Let x(s) = s - 33. Let j(l) = 1. Let d(p) = -4*j(p) - x(p). Let z be d(y). Solve -2*i = 2*i - z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(15)\/(-1*sqrt(3)))**2*-4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1725 + -3?\nAnswer: -1730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + o**2 - o - 1. Let j(z) = 65*z**3 - 95*z**2 + 160*z + 230. Let i(g) = j(g) + 30*p(g). Factor i(q).\nAnswer: 5*(q - 10)*(q - 4)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11\/((t\/(t\/t**(-1\/3)))\/t))\/(t**8\/(t*t**5\/t*t)) assuming t is positive.\nAnswer: t**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11633133.\nAnswer: 3, 37, 104803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.874 times -0.55?\nAnswer: -1.5807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14936 - 179377\/12. Find the common denominator of (2 + 362\/(-60))\/1 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t + 7*t + 6*t - 2*t.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 2*c + 3. Give s(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 + (-3)\/(15\/(-25)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3988*z**3 + 2*z + 3. Is l(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375320 = -34*a + 26*a. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28*11\/(-385))\/(86\/(-20)*-4)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -11953.\nAnswer: 47812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 2*n - f + 2, 0 = -5*n - 5*f - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l**2. Let z(j) = -233*j**2 + 234*j**2 - 3*j + 3*j. Calculate n(z(d)).\nAnswer: 11*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7720896, 15441796, 23162696, 30883596, 38604496, 46325396?\nAnswer: 54046296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41399, -331182, -1117687, -2649260, -5174247, -8940994?\nAnswer: -14197847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 10:25 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*i = 75*i - 293*i + 70*i - 1458 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.839882 rounded to three dps?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146964 and 886087?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 7*q + 5. Give b(5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -19.7+3244023835\nAnswer: 3244023815.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3529\/60 + -267\/5. What is the common denominator of 0 + (2346\/(-252) - -6) and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 30*y**2 - y + 21*y**2. Let v(a) = 20*a. Let o(u) = -2*u. Let g(c) = 8*o(c) + v(c). Give g(q(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -0.052103, 0.5 in descending order.\nAnswer: 0.5, -0.052103, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 8*t - 15. Let w be m(-7). Let p be (-30)\/(-40) - 1074\/w. Suppose 170 = 5*s + p. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r - 29 - 29 - r + 58. Let y(u) = -7*u. Calculate z(y(k)).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2186816 * -3.03.\nAnswer: -6626052.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - g + 16 = 0, -3*g = i - 0*i - 6. Suppose -14*t - 4*x - 8 = -19*t, 0 = -i*t - 2*x - 4. Solve -2*h + 3 - 9 = t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216413 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 409893287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 697.0748l?\nAnswer: 697074.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*h**3 + 1524*h**2 + 7860*h + 672.\nAnswer: 3*(h + 8)*(h + 14)*(23*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 43 = -u + 2298, -u + 1504 = 2*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -17. Let k = -1.58 + -1.72. Let f = k + -0.7. Which is bigger: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/10)\/2*-5. Suppose -1 = -45*v + 179. Suppose -v*x = 5*c - 75, -69 = -d*x - 2*c - c. Calculate the greatest common divisor of x and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -2*q**3\/3 - 4. Let x(p) = 30*p. Determine x(k(z)).\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 21\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 4:30 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -13*x**6\/30 + 9*x**2\/2 - 17*x + 13. Let i(m) be the first derivative of o(m). What is the first derivative of i(y) wrt y?\nAnswer: -52*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354829, 1419294, 3193401, 5677150, 8870541, 12773574, 17386249?\nAnswer: 22708566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0618 - -0.1468. Which is the smallest value? (a) 1 (b) 5 (c) 2\/3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 36\/6 + 4\/3*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5903, 11805, 17709, 23615, 29523?\n\"Answer: j**2 + 5899*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 321*l - 7875 = 0 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*j + 4 = 0, -5*j = -5*g + 10 - 0. Suppose 0 = -2*o + 5*v - 8, 6*v - 32 = -g*o + v. Let l(s) = 20*s**2 - 11*s + 15. Is l(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:37 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -11*m**2 - 2*m - 19. Let b(h) = 2*h**2 + h + 2. Let z(i) = 6*b(i) + q(i). Determine z(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**8\/6720 - y**7\/280 - 3*y**6\/80 - y**5\/12 - 7*y**2. Let l(c) be the third derivative of f(c). Solve l(r) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, -0.1, -2\/253, -0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 164*b - 86*b - 91*b + 4 - 14. Let u be p(-1). Solve -5*w + 3*f = -u*w, -3*f - 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2406.853 + 2405. Round m to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0 - -1 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 7*p + 6. Which is the closest to 0.03? (a) 4 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11128 is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 203479956 less than 203479957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + (-112)\/(-10))*(-155)\/279*108?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157797 - -32190737\/204. Find the common denominator of t and -65\/32.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4 + (-14 - -10 - (1 + -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbw when four letters picked without replacement from wbrbrrwrrrwrrwrbrbr.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 15) in base 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 14*u + 13. Let k(p) = p**2 + 14*p + 13. Let t(n) = 5*c(n) - 6*k(n). Let s be t(-13). Solve 5*v - 5*a = 15 + 10, s = -2*v - 5*a + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 213180540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 824 divided by 9690\nAnswer: 412\/4845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -969120 by -1.\nAnswer: 969120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - y + y. Let j(g) = 545*g**2 + 2 - 549*g**2 - 2. Determine j(k(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 56. Let a(f) be the second derivative of 0 + 2\/3*f**2 - 1\/18*f**4 + 4*f + 1\/9*f**g. Factor a(j).\nAnswer: -2*(j - 2)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*k - 50, -2*y + 7*k - 4*k = 15. Let x = y - -25. Suppose 4*s - 8 = x. Let o(u) = -u**2 + 7*u - 2. Determine o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121072429733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*o**2*s**3*v**3 + 35806*o**2*s**3*v + 2457*o*s**3 + 17*o*s**2*v - 12*s**2*v**3 wrt o.\nAnswer: -38*s**3*v**3 + 71612*s**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b + 28. Let i be (0 + (-6)\/(-33))\/b. Let s = i + -4533\/385. What is the common denominator of s and 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-1)\/(-5) - (-48)\/(-15). Let s be ((-6)\/(-10))\/z - (-1738)\/(-660). Sort -3, s, -1.\nAnswer: -3, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*g - 52 - 28 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 100310123000 (base 4) to base 3\nAnswer: 22022000001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - ((sqrt(3645) - (4*sqrt(3645) + sqrt(3645))) + sqrt(3645)))\/(sqrt(441) - (sqrt(441) + sqrt(441)*3)))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 21*i**3 - 17*i**2 + 13*i - 18. Is m(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2201352 + -1123?\nAnswer: 2200225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microsecond in nanoseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/690 and -8\/96697175.\nAnswer: 580183050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -w - 4*w + 32, -60 = -5*w - 5*t. Solve 24 = 4*r + w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -131*b**2*j**2 + 3*b**2 + 886*b*j + 20*b - 334 wrt j.\nAnswer: -262*b**2*j + 886*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35.165 + -34.9. Put 3, a, -5 in descending order.\nAnswer: 3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(8 + -4)*-5. Let a be v - ((-1 - -4) + 1). Solve -2*i - 5*y - 3 = -1, -i - a = -5*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -3*r - 15. Let y = r + 4. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -20. Let c(t) = 4 + 3*t - g. Let n(d) = 4*d. What is n(c(o))?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/3 + 4*k**4\/3 - k**3 - 10*k**2\/3 + 8*k\/3.\nAnswer: k*(k - 1)**2*(k + 2)*(k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/50*(-5)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4287 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -8. Suppose 24 = -4*x + z*x. Solve 0 = d + g + 2 - 1, 3*g + x = 4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -4*y + 16, 0 = -4*y + 222*b - 234*b + 48 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1016 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(13))**2 + -1.\nAnswer: 4*sqrt(13) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -88. Let q = 2 - -3. Suppose -4*f - 15 = g, 2*f - 7 - 8 = -q*g. What is the highest common factor of y and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 12 - 12. Let t(c) = -4*c**2 + 3. Let i(r) = 5*s(r) + t(r). Let f(u) be the first derivative of i(u). Let b(q) = 3*q**2. Give b(f(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-3)\/9*-3. Let q be 2 - (6*w - -2). Is 58\/3 + 2\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11220000 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -2*j - 3*j - 2*i, 5*j + 4*i - 99 = 0. Suppose 460 = -191*s + 201*s. Calculate the greatest common divisor of j and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -57*o - 4. Let c(f) = 6*f - 1330. Give l(c(d)).\nAnswer: -342*d + 75806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605 (base 7) to base 14.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 - 135. Suppose 5*a = -z*a + 13. Put 4, -3, a in decreasing order.\nAnswer: 4, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 12*i**2 + 6*i + 4. Let g(l) = 37*l**2 + 17*l + 11. Let t(r) = 6*g(r) - 17*s(r). What is the first derivative of t(a) wrt a?\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 675 + 1376. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 156 + -55. Calculate the remainder when 807 is divided by y.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14714 + 14713.9. Let s = -11 - -22. Sort s, -4, t in descending order.\nAnswer: s, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -18*l + 79. Determine i(8).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 921.4 rounded to the nearest 10?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, -3, -1, 1?\n\"Answer: 2*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**3\/3 - 3*h**2 - 2*h + 1. Let n be m(-5). Factor -4\/3*z**2 + 2\/3 + 2\/3*z**4 + 0*z + 0*z**n.\nAnswer: 2*(z - 1)**2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -1)\/((84\/(-8))\/3). Let o = 6000.4 - 6000. Which is the smallest value? (a) -2 (b) o (c) m (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2793578 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 24. Let n(w) = w**3 - 9*w**2 - 11*w + 6. Let m be n(10). Let y be (18\/m)\/(6\/(-24)). Calculate the highest common factor of i and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*(-1760)\/(-616).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89054077721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*a - 1 = 0, 4*a + 7 = -2*n + 7*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 686914.3ml?\nAnswer: 686.9143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -7303?\nAnswer: -10\/7303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000098568287 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 0*j**3 - 5 + 14*j**2 - 21*j**2 + 7*j + 2*j**3 - 2. Let p(s) = -s**3 + 3*s**2 - 3*s + 3. Determine 3*f(l) + 7*p(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -257 + -12121?\nAnswer: -12400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 - 2?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 26. Let k be (-545)\/l + (-1)\/(-2). Let j = 17 - 6. Calculate the greatest common divisor of j and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-32))\/((-131)\/((-330120)\/(-1134)))\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/j**(5\/8))*j**(-1\/5) assuming j is positive.\nAnswer: j**(17\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**4\/3 - 264*r**3 + 2476*r**2 - 5032*r\/3 - 4416 = 0.\nAnswer: -207, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 20*p + 37. Determine v(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*a = -0*a - 1375, 0 = -g + 3*a + 291. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and 7168983 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t*t**(4\/9)*t*t)**39 assuming t is positive.\nAnswer: t**(1495\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i - 3. Let q(u) = 6*u + 2. Let t(v) = -4*f(v) - 3*q(v). What is t(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 80*o - 186. What is the remainder when a(4) is divided by 76?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -c - 5*w, 2*c + 3*w + 225 = -c. Let x = 78 + c. Solve 4*d + 12 + x = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 300 + -208. Suppose 18*q = 2*q + 496. Suppose -q*d + 3726 = -4*d. Calculate the highest common divisor of s and d.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5907.847l to millilitres.\nAnswer: 5907847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3563, -7030, -10505, -13994, -17503, -21038?\n\"Answer: -n**3 + 2*n**2 - 3466*n - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. Suppose -2*c = h - c - 2, p*c = h - 6. Suppose 0 = j + h*b - 3, 5*b - 25 = -0*j - 3*j. 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 smaller: 932\/10043 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 14. Let s = w + 23. Suppose s = 2*p + 2*m, -2 + 10 = 4*m. Calculate the greatest common factor of p and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u + 5. Find the second derivative of -6*w**u - w**2 + w**2 - 7*w + w wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.652704t to grams.\nAnswer: 1652704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.37986 millennia in centuries?\nAnswer: 803.7986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, 118, 1, 3, -1\/2?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 34*d + 459. What is q(-17)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d + 1. Let h = d + 2. Solve 5*v + 4*y + h = -3, -3*y = -3*v + 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x - 4. Suppose q = -x*q + 18. Let s = -8 + 3. Let f(o) = 2*o**2 + 6*o - 6. Let l(z) = 2*z**2 + 5*z - 5. Give q*l(m) + s*f(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 2518. Let i(a) be the second derivative of -a**3\/6 + 1038*a. Calculate i(m(u)).\nAnswer: -2*u - 2518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39162 and 582.\nAnswer: 3798714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-2\/15)))**1 assuming w is positive.\nAnswer: w**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**3\/3 - 9*v**2\/2 - 3*v. Let t be r(-5). Let b(f) = 3*f - 2. Let c be b(2). Solve k + t = -c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.008973 - -0.108973. Suppose -q = q. Which is the nearest to -0.1? (a) q (b) -2 (c) -0.4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/62288 and -41\/1088.\nAnswer: 249152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -108*(7\/4 - 2)\/((-2321)\/422)?\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 7*i**4 + 3351*i**3 + 234060*i**2 + 164524*i - 66192 = 0?\nAnswer: -394, -84, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -337181 or -337182?\nAnswer: -337181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1 - m**2 - 2*m**3 + 2*m**3 - 3*m**3 - 2*m**3. What is z(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-5 - -2)) + 5 + (9 - -37) + -41?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 1. Let i = j + 12. Is (-788)\/(-20) + (-2)\/i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -8, 0 = -0*u - 3*u + 2*j - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195368506?\nAnswer: 2, 97684253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/4981?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129487 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t = -40*t + 19*t - 492 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.058 - -187.676. Round o to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4268 divided by 4268\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52640)\/1974*18\/24?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1803 - -1811. Put 46, z, -3, -5 in decreasing order.\nAnswer: 46, z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((48\/132)\/(1*-2)). Solve 2*r + a = 5*a - k, -3*r + 5*a = 28 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*r**2 - 16 + 13\/3*r.\nAnswer: (r - 3)*(r + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 41*n = 75*n + 2945 + 2140 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/8 - (-2)\/8. Let r(v) = -w - 4*v**2 + 4. Let b(u) = 1670*u - 580. Let c(j) = 23*j - 8. Let k(d) = 2*b(d) - 145*c(d). Determine r(k(z)).\nAnswer: -100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -22*u**3 + 3*u**2 - u + 3. Let w(r) = -21*r**3 + 2*r**2 - r + 2. Give 2*s(n) - 3*w(n).\nAnswer: 19*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2223*l + 2227*l = 3*u + 177, 2*l - 5*u - 127 = 0. Let h = -76 - -263. What is the remainder when h is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 941 - 1368.5. Let p = 428 + w. What is the closest to 0 in p, -2\/3, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57079993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from gmgmttgttgg.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 892884.7 years?\nAnswer: 10714616.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10512 by 3.\nAnswer: -3504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 - -131. Let z = -49 + k. What is the highest common factor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*d - 14. Let o(y) = -y + 1. Let m(n) = 5*n - 7. Let k(s) = m(s) + 6*o(s). Determine k(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1149207\/672695 + 2910\/1387. Let i = 1\/97 + u. Which is the nearest to -0.1? (a) 25 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/22)\/n)\/n*n*n**7)\/(n**(-8)\/n**(10\/3)) assuming n is positive.\nAnswer: n**(1147\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10545 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 5*y - 11. Suppose -121 - 179 = -178*w + 768. What is c(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2299800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-345)\/(-9))\/(1\/3). Suppose -5*a = 59 - 44, 0 = 5*m - 4*a + 448. Let y = r + m. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000162566115 rounded to 6 dps?\nAnswer: 0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10855 + -217057\/20. Find the common denominator of p and 117\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(88)\/sqrt(8) + 3 - (sqrt(11) + -3 + sqrt(77)\/sqrt(7))).\nAnswer: -3*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/5)\/(6 + 62\/(-10)). What is the common denominator of 143*(35\/42 - d) and 49\/270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 25060*g - 1495945.\nAnswer: 5*(g - 59)*(g + 5071)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -259 - 14*y + 132 + 12*y + 126. Let b(m) = -5 - 1 + 0 - 11*m. Suppose 3*v + 5*p + 28 = -0*v, -3*v - 3*p = 24. Give v*b(s) + 34*a(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**2 + g - 1. What is a(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 6*u + 3. Let z be s(6). Suppose z*p + 0*p = 33. What is the lowest common multiple of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 475*n**3 - 12085*n**2 - 5*n wrt n.\nAnswer: 2850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2202829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125390211 - -7.\nAnswer: 125390218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 2*b - 3. Let y be (-14)\/(-8) - (-3)\/12. Suppose -v = 1 + y. What is h(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13+2.21971991797\nAnswer: 15.21971991797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6*z + 3 = 0. Find the second derivative of 2*x + 3*x - 5*x + 14*x - z*x**4 wrt x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2358.1 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-80)\/(-5))*-2 - (-187)\/(-396). What is the third biggest value in 0.2, 3, f, -11\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**3 - 23*k**3 + 323*k + 11*k**3 - 646*k + 323*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 1\/4 (c) -4\/799 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 11:05 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 20 = 32. Which is the second biggest value? (a) -2\/7 (b) -2 (c) 4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(7) - (4 + sqrt(175))**2).\nAnswer: -196 - 39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (sqrt(1377) - (sqrt(1377) + -3))**2)*-4 + 1 + 1 + sqrt(1377) - (2 + ((sqrt(1377) - (0 + sqrt(1377))) + -2)**2*4).\nAnswer: -27*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5\/4 (b) 2\/11 (c) -99 (d) -0.0874 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4047.929 - -4048. Which is the closest to -0.1? (a) -9 (b) 0.3 (c) i (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6 = -10, -f - s - 19 = 0. Let x = 28 + f. Suppose -5*b = -4*g - 150, -4*g = 3*b - 8*g - 98. Calculate the highest common factor of b and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*z - 37. Is 5 a factor of (-7)\/((-10)\/z*6\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2481 and 27.\nAnswer: 22329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100301588 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.281 - -0.119. What is the smallest value in n, 4, -0.5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d - 3*d - 9*d - 10*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 8:33 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 2*w - 2, 5*d - 2 = -3*w + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*d + 9*b**2 - 28*b*d**2 - 3154103*b - 120799*d**2 wrt d.\nAnswer: -2*b**2 - 56*b*d - 241598*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-22) + 1520\/(-1672) - 5\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 832 and 68705?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 12*f + 36. Let s be b(-6). What is the hundreds digit of 348 + -1 - (s + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*(270\/20)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19269 take away 2.963?\nAnswer: -19271.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*k = 96*k + 9945. What is the remainder when k is divided by 291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 61 + x**2 + x**2 - x**2 + 3. Let r be k(0). Suppose 335 = 5*s - 2*c, -c - r = -s - 0*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 1, 44, 2 in ascending order.\nAnswer: -5, 1, 2, 8, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111575886 is divided by 3599222.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + 45*r + 4. Let y(k) = 2*k**2 + 1. Calculate j(h) - 3*y(h).\nAnswer: -h**2 + 45*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, -40, -205?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4675 rounded to 1 dp?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, -0.3, -0.5, -5 in descending order.\nAnswer: 111, -0.3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15022 and 14504.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 1, -0.05, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -48. Which is the closest to 2\/9? (a) -0.5 (b) k (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from dsf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321200002 (base 4) to base 14.\nAnswer: 61b90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.0045166, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccr when three letters picked without replacement from ccrcccccccr.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -42. Let t(v) = j - 1 - 3 + 2*v. Determine t(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 188 + 192. Let p be 2\/(2 - (-27)\/(-15)). Let g = p - -28. Calculate the greatest common factor of a and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 g when four letters picked without replacement from {x: 1, g: 3, m: 6, a: 4, d: 3, i: 1}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.821 - -0.8. Let v = -8.379 + q. Round v to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/80 and 3\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902*r = -914*r + 12. Sort r, -4, -15 in decreasing order.\nAnswer: r, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 20. Let z be o(-7). Let n = 27 + -38. Let p = z - n. Which is the biggest value? (a) 2 (b) p (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 9*f**2 + 11*f + 22. Give j(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(78) - (sqrt(78) - 2*-6*sqrt(78)))\/(5*sqrt(384)).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m**4 + 21*m - 168*m**3 + 168*m**3 wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 8*v + 25. Suppose 4*z = -4*y - 6476, -y + v*y = -4*z - 4858. What is y rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -267\/4, -0.89361, 0.2?\nAnswer: -0.89361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 34*m**2 - 104*m + 257. Let p be n(-37). Sort p, -5, 3, -12, 5.\nAnswer: -12, -5, p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-269 - -368) - 10\/(-2)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 6*v**2 - 22*v + 51. What is i(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one fifths of a week?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4002 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q + 13 = -m, 0 = -5*q + 2*m + 20. Suppose 333 = q*h + 1. Let a = h - 41. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/283? (a) 2\/5 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-216))\/((-1)\/(-3)))\/((7600\/5244)\/(-100))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186700?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + sqrt(931) + (sqrt(931) - (2 + sqrt(931)))*-3)**2.\nAnswer: 168*sqrt(19) + 3760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -13, 4, -2, -4 in decreasing order.\nAnswer: 10, 4, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.3031 + 290.2791. Let q = s - 288. Round q to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/4 - ((-27)\/4 - -7). Put -4, -1, -14, l in descending order.\nAnswer: l, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*f + 72*f + 3*a - 9, -13 = -3*f - a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25316357.2 rounded to the nearest 100000?\nAnswer: -25300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/112*7 - 170\/40 - 16.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, c: 5, s: 1, y: 2, u: 3}. What is prob of sequence cmsu?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/16)\/1)\/((-21967)\/(-3994))\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/(-6)*(26\/4 - -1). What is the third derivative of -u*y**5 + 16*y**5 - 28*y**2 - 6*y**2 wrt y?\nAnswer: -1440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.626 - 0.374. Suppose 6 = -s + 5*r + 3, -5 = -2*s - r. Suppose 0 = s*u - 0*u - 8. What is the nearest to -1\/2 in u, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5 + 10*b**4 + 12*b**3 - 4*b**2 - 14*b - 6.\nAnswer: 2*(b - 1)*(b + 1)**3*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2106?\nAnswer: 1\/1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5, -50, 3\/22, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 133 - 51. Let n be 4\/7 + j\/(-28). Find the common denominator of 22\/5 and 2\/n*(63 + 8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10705 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = q + 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -51*l**2 - 51*l + 21. Let j(i) = -5*i - 5*i**2 - 21 + 43 - 20. Let x(o) = 2*d(o) - 21*j(o). Let r(f) = -f**2 + 1. Calculate -r(w) - x(w).\nAnswer: -2*w**2 - 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and ((-46)\/115)\/(6\/(-3) + 1799\/900)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 48*p - 54. Determine y(23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.387 + 3.287. Is b >= -5779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11304 - 6775. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + x - 2. Let g be o(2). Solve -6*r = -2*r - g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2\/6 - 123288*s + 22799896416 = 0. What is s?\nAnswer: 369864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 40*d + 3. Let u(g) = -g**2 - 40*g - 4. Let q = 99 + -96. Let l(n) = q*u(n) + 4*c(n). Let l(a) = 0. Calculate a.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/2 in 24, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13 + 15)*(-5)\/(10\/(-3)). Put 210, 4, h in decreasing order.\nAnswer: 210, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**2 + 33*x + 25. Let c(s) = -7*s**2 - 32*s - 25. Let g(l) = 7*c(l) + 6*f(l). Factor g(y).\nAnswer: -(y + 1)*(y + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x - 26. Let a be k(-7). Put -4, 7, 3, a in increasing order.\nAnswer: -4, a, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20246477017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 276 + 12 = 2*z, 4*n = 5*z + 524. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 10*o**2 + 6*o + 13. Suppose 57*s - 248 - 265 = 0. Give i(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x + 26*x = 4614260000. Round x to the nearest one million.\nAnswer: -201000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m + 1\/80*m**5 + 2 + 0*m**2 + 1\/24*m**3 + 1\/24*m**4. Let h(v) be the first derivative of o(v). Factor h(i).\nAnswer: i*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 36*x - 386. Let g be b(15). Let u = -1 - -9. Suppose r = -u + g. What are the prime factors of r?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -3. Which is the third smallest value? (a) v (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24433 or -24441?\nAnswer: -24441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*c = -12*c - 14*c + 7901600. Is c a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 229*x - 231*x - 30, 0 = 4*u - 5*x - 47. Solve -u*w - 78 = -22 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41905.\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fryfyruffryrrrfff.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1256615908 and 4804?\nAnswer: 4804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 15\/6)*-4. Let h be 71 - 0\/((-6)\/m). Suppose -2*f = -4 - 2, -4*l + h = -3*f. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7 + 0*n + 3*n + 0*n. Let g = -2995 - -3002. What is r(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfh when three letters picked without replacement from {f: 5, h: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*d + 12*d**2 - 23*d**4 - 5*d**3 - 16*d**2 + d**3 + 2*d**2 - 12*d**4 wrt d.\nAnswer: -840*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 58*o - 2277 = 1413. Calculate the remainder when 281 is divided by o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2350)\/141*-2*6. Suppose 6*l + t = 170. Put -0.3, l, 2\/13, 5.5 in increasing order.\nAnswer: l, -0.3, 2\/13, 5.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/264)\/(((-8)\/(-144))\/((-48)\/(-1080)))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 571770 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117969109?\nAnswer: 117969109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -2, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372 and 164904?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1024 = -85*c - 43*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78496b (base 12) in base 7?\nAnswer: 22200005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**3 + 115*n**2 - 369*n - 6756. What is v(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 1. Suppose -4*z = -4*a + a + 4, -4*a - 24 = 2*z. Let u be r(z). Let m(k) = k - 2 + 0 + u. Determine m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 9*m - 5. Let r be p(5). Let d = 0.9 + -5.9. What is the smallest value in r, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + -2 + sqrt(512) + -6*(1*sqrt(512) + sqrt(512)))**2*4.\nAnswer: 9856*sqrt(2) + 248004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + 0 + 2 + 27 + 726 + -728?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 - 13*n**2 - 8*n - 7. Let o be p(-6). Suppose 0 = 3*s - 5*i + 4*i - 122, s - 46 = 3*i. Calculate the greatest common divisor of s and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**1*i*i)**(-5)\/(i*i**(-3)*i*i\/(((i\/(i*i*i\/(i*i\/(i\/i**(1\/6)))))\/i)\/i)))**(6\/25))**(-2\/37) assuming i is positive.\nAnswer: i**(274\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-89*b + 1268 + 1204 - 5070 + 1240 + 1269)*(2*b**2 + 0 + 0) to w*b**2 + d*b + v*b**3 + a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2777, 22673, 76755, 182141, 355949, 615297?\nAnswer: 977303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14308 by 6.\nAnswer: 7154\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4 - 8*f**3 - 116*f**2 + 120*f = 0 for f.\nAnswer: -5, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -5*l - 28, -2*l - 383 = -2*n - 343 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from uulzzuyyzz.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.003439 microseconds to nanoseconds.\nAnswer: 9003.439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 246*t + 7. Let m = -9 + 8. Let p be b(m). Let a = p - -448. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 356, 368, 394, 440, 512, 616, 758, 944?\n\"Answer: a**3 + a**2 + 2*a + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79562 + 47662. What is o rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94)\/40 + (-49)\/(-196)*(-16)\/10?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/2541 + 13833\/1694. Find the common denominator of d and 47\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439587349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -15. Which is the nearest to 1? (a) -0.2 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -17. Let x = k - -2. Let n = -10 + x. Are 6 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 l, 1 u, and 1 p when four letters picked without replacement from {l: 1, u: 1, d: 1, p: 3, i: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-9 + 13) - (-3 + -2 + 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 15\/(-13) - 441\/(-91). Let g(p) = -10 - 12 - 11 + h*p. Let v be g(8). What is the highest common divisor of 35 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -7*x - 17. Let n(t) be the first derivative of 1\/9*t**3 + 0*t - x - 1\/24*t**4 + 0*t**2. Factor n(l).\nAnswer: -l**2*(l - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**6\/120 + 7*l**5\/60 + l**4\/3 - 7*l**3\/6 + 2*l**2. Is v(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/8)\/(7\/(-294)*54\/(-24)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 11:36 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/25? (a) -1 (b) 2 (c) -43 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*c + 12*c**2 - 195*c - 54*c**2.\nAnswer: -42*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6 = 5*m, -4*m - 2 = 6. Put -1, -5, j, 3 in descending order.\nAnswer: j, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - w + (3*w - 1 + 1)*(10 - 3 + 0))*(-32997*w + 32997*w + 2*w**2 - 65) as s*w + f + q*w**3 + g*w**2 and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3786, 15168, 34138, 60696, 94842, 136576, 185898?\n\"Answer: 3794*p**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1579694, -6318808, -14217332, -25275266, -39492610, -56869364?\nAnswer: -77405528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 3*q. Let x be -6 + (7 + 0)\/7. Let r(a) = -3*a**2 + 5*a. Give x*g(i) + 3*r(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -95628972 divided by -6?\nAnswer: 15938162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m - 2. Let g be w(-1). Let u = g + 1. Put u, -2, -1 in decreasing order.\nAnswer: u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1583535*w + 1583537*w - 2 + 64*w**2 + 2.\nAnswer: 64*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5, -5585, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 + 19*d - 10. Let g(i) = -i**2 - 10*i + 4. Let j(p) = -5*g(p) - 2*y(p). Factor j(k).\nAnswer: -3*k*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 + 56787100463.\nAnswer: 56787100463.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 2, e: 1, w: 2}. What is prob of sequence erww?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppdppdpipyddpd. Give prob of sequence dp.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.048 + 6.048. Which is greater: -894 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 0*c + 0*c + 3*c + 1 - 1 + c + 2*c - c + c + 0*c + 0*c + (-2*c - 2*c + 3*c)*(-6 + 2 + 2) + c - 2 + 2 + 0 + c + 0.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*b - 5288 - 1803, 7084 = p + 4*b. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 18. Let r(f) = 27*f - 836. Let j be r(31). What is the third smallest value in 5, 2\/11, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u + 4. Let y = 180 - 181. Let n(s) = s + 3. Let d(j) = y*p(j) + 5*n(j). Let f(t) = -t. What is f(d(w))?\nAnswer: -w - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -167831 + 243994. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 27. Let l = -508 + 511. Suppose l*s = 82*q - 79*q + 234, 4*s + 5*q = 348. What is the remainder when s is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**3 - 3*y - y - 4 + y**3. Let b(z) = 2*z**3 + 3*z + 3. Let h = 3 - 6. Let d = -8 - -4. Calculate d*b(c) + h*p(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090880 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.03 (b) -2 (c) 0.1 (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*w**3 + 24*w**4 - 64*w**3 + (3 + 1 - 2)*(0 + 1 + 4)*(5*w**4 + 5*w**4 - 6*w**4).\nAnswer: 64*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 10*n**2 - 2*n + 5. Let v be x(10). Let t = 38 + v. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 406\/9*t + 404\/9 + 2\/9*t**2.\nAnswer: 2*(t + 1)*(t + 202)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29313639.\nAnswer: 3, 67, 173, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 646.6564 centuries?\nAnswer: 64.66564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Suppose -2*u + 6 + r = 0. Let d be 2\/(-3) - 15\/(-9). Solve -d - 9 = -u*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**4\/24 + d**2. Let j = 8 - 4. Give u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8704593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**3 + 4*o + 13 - 5*o + 2*o**3 - 4*o**3 to the form p + a*o**3 + z*o**2 + m*o and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 259, -5\/3, -3\/2.\nAnswer: -4, -5\/3, -3\/2, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53\/5 + -593\/55. Let i = -2087\/4 - -521. Sort -5, i, j.\nAnswer: -5, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.81886, -0.2, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (12 + -4 - 5)) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 17, -6 in increasing order.\nAnswer: -6, -2\/13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 24*u - 3. Suppose 0 = 3*v - 3 - 0. Is x(v) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(18\/8)\/((-252)\/144))\/((-148)\/259)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**4 + 166729330*m**3 + 106*m**2 - 2732381 wrt m.\nAnswer: 48*m + 1000375980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54977560, 109955122, 164932684, 219910246, 274887808?\n\"Answer: 54977562*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 964.\nAnswer: 1\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 3144\/41237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 + 29*i\/3 - 14\/3.\nAnswer: -(i - 14)*(2*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13577*10.\nAnswer: -135770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 754759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 4:57 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + ((21 - 6) + -33 - -14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/150 - (-7427322)\/60 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - c**4 + c**2 + (-5 + 4 - 1)*(-2*c**4 + 9*c**4 - 3*c**4 + (-c + 0*c - c)*(-c**3 - 4*c**3 + 4*c**3)).\nAnswer: -13*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*n - 200. Suppose -2 = 5*r - 12. Suppose -r*j = 5*h - n, 2*j - 161 = -j - 2*h. What is the greatest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234240534 (base 6) to base 5\nAnswer: -2112002402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:43 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - 2*f**2 - 2*f**2 + 3*f**2 + 0*f**2 - f**2 + (-3*f + 4*f - 3*f)*(2 + 2*f - 2) + f**2 - 2 + 2 - 2*f**2 - f**2 + 2*f**2 - 6*f**2 + 7*f**2 + 3*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/3, 3514726, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-3)\/126*-7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2413 (base 5) in base 15?\nAnswer: -18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = f - 32, -3088*f + 3087*f = t - 2 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -97*x**5\/60 + 31*x**3\/2 + 84*x**2. Find the first derivative of r(q) wrt q.\nAnswer: -194*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 1, z: 2, w: 2}. What is prob of sequence wb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/((-1)\/(-2)). Let d(n) = n**3 - 3*n**2 - 2*n + 3. Let p be d(2). Is 29 a factor of (p - j)\/(2\/(-41))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -4 + (-6240)\/(-4) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3 - 15483*u**2 + 123672*u = 0.\nAnswer: 0, 8, 5153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -15376564?\nAnswer: -15376566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 33*r**2\/2 - 4973*r + 4956.\nAnswer: (r - 84)*(r - 1)*(r + 118)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 1 - 5 + 1074*v + 4 + 11673*v.\nAnswer: -v**2 + 12747*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 2\/9, 21, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 6389932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58823339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 19*o**2 - 17*o + 22. Let m be n(-18). Which is smaller: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1860589.8 months?\nAnswer: 15504.915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -14.568?\nAnswer: -4.3704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (37 - (-49 + 85)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -549 times -26\nAnswer: 14274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 1333*i**5\/60 + 71*i**4\/12 - 579*i**2. Find the second derivative of d(a) wrt a.\nAnswer: 2666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*sqrt(19)*6.\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from cccecvvccvffcvacepvp?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23073 - 22919. Calculate the lowest common multiple of a and 176.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-4 + (5 - 2))) + (16 - -7 - 38)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -10 + 10 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37207650.\nAnswer: 2, 3, 5, 248051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 - 1576046.969746.\nAnswer: -1576062.969746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 884807.13 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f - 4. Let g be m(6). Let l be g\/(-14) - 8\/28. Differentiate 7*t + 3*t**2 - l*t - 1 - 4*t with respect to t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 - 296*w**2 + 378*w - 2896. What is c(-100)?\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84591, -169060, -253513, -337950, -422371?\nAnswer: -506776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1c45 (base 13) to base 6\nAnswer: 31454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.011, -4441, -4, -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41253 - -536574\/13. Let x = 3517\/78 - s. What is the common denominator of x and 65\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(1\/3)*o))**38*o**(-9)\/o**1)**(1\/5))**(4\/19) assuming o is positive.\nAnswer: o**(-272\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 9 = -m, 121*m + 2 = -v + 123*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d + 4. Let v be r(5). Let b be 2\/v - (-13)\/3. Let n(g) = -3*g**3 - 7*g**2 + 2*g + 4. Let u be n(1). Put b, -5, u in decreasing order.\nAnswer: b, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(8\/3))\/(p\/p**(-11\/6)))\/((p\/p**(16\/5))\/p**(-34)) assuming p is positive.\nAnswer: p**(-363\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -14 + 70. Let s = 58 + f. Suppose -57 = -s*j + 23. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89432 divided by 1?\nAnswer: 89432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 565 (base 12) to base 13\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2)*m)**(-1\/30))**(-2\/57)*(m**1\/m**(-3))\/((m*m**(-1))\/m)**(-20) assuming m is positive.\nAnswer: m**(-27359\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2335206? (a) 1\/6 (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, e: 10, b: 2}. Give prob of picking 1 e and 2 v.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.5. Which is the smallest value? (a) -2 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 1\/158, 175?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7758000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880 = -26*h - 1330. Suppose u = -2*u - 261. Let r = h - u. Solve -2*k + 2 = -2*g - r, g + 2*k - 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2\/23, 0.1, -12, -93?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n - 6*n = 0. Suppose n = 28*u - 25*u - 5*c - 654, 3*u - 3*c - 660 = 0. List the prime factors of u.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064412312 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1110111000110 (base 2) to base 3\nAnswer: -101110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1043.5 - 1048.5. Which is the biggest value? (a) -0.4 (b) s (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -238 - -533. Let o = 15 - 11. Suppose -3*q + 77 = 5*z - 137, 5*q - o*z = d. Calculate the highest common divisor of q and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4680775 - -10460775. Round m to the nearest one hundred thousand.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(11)*-1 + 0.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + r**3 + 1 - 2*r**2 + 1 + (2*r**3 + 0 + 0)*(1 + 4 - 1) - 56*r**2 + 49*r**2 + 27*r**2 + 3*r**3.\nAnswer: 10*r**3 + 18*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(550)\/sqrt(11)*-6)\/(1*(sqrt(1000)*4 + sqrt(1000) + sqrt(1000))).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 4.03 (c) -0.003 (d) 3 (e) -2\/7 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - p = -9, 5*p + 3 = 4*o - 0*p. Suppose -16 = o*w - 170. Suppose w - 17 = 3*l. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 118, 100, 82?\n\"Answer: -18*q + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4 + -2 - (15 + -19).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1 - m - 31*m**3 - 4*m**2 + 5*m**2 + 43*m**3. Calculate the remainder when 54 is divided by d(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*((-8)\/(-6) + 2). Let w(f) = -f**3 + 9*f**2 + 15*f - 30. Let r be w(n). Solve -b + 5*b - r = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0, -3 in decreasing order.\nAnswer: 2\/5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 51161, 51160, 51159, 51158?\n\"Answer: -d + 51162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 13*a + 2. Suppose -c - 13 = -0. Let k be h(c). Let y(b) = -3*b**2 + 7*b**k - 10*b**2. Let v(g) = -2*g**2. Calculate v(y(p)).\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569*k - 514*k = 560936 + 488574. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/5, 6, -4 in increasing order.\nAnswer: -5, -4, -1\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 229*b - 4566. Give v(-22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/2)\/(-3)*0. Suppose -4*r - x = x, 5*r = 2*x. Suppose -b + y + 12 = r. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 + -0.37. Let a = c - -0.6. Let d be 6\/69 + 180\/(-483). What is the nearest to a in -3\/4, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1245 - 1273. Let g = i + 25303\/10. Calculate the common denominator of g and -67\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3944958 minus -7148.9?\nAnswer: 3952106.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 3, 4, -250 in decreasing order.\nAnswer: 6, 4, 3, -4, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*h*n**2*q + h*n*q + 215*h*n - 5*h*q + 4*h - 100869*n**2*q - n*q - 26*n - 2 wrt n?\nAnswer: 128*h*q - 201738*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17035 is divided by 3399.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*i - 18 = 3*b + 409*i, -3*b - 12 = -i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 6:48 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/3 - 49*k**2\/3 + 156*k = 0 for k.\nAnswer: 0, 13, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(-2 + sqrt(1573)))**2 + ((4*sqrt(637) - sqrt(637) - sqrt(637)) + 4)**2 + -2.\nAnswer: -148830 + 4336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2) + 3*sqrt(50) - ((-1*sqrt(24))\/sqrt(12) - sqrt(2)))**2 - ((sqrt(88)*-1)\/sqrt(4))\/(2*sqrt(44) - sqrt(11)).\nAnswer: sqrt(2)\/3 + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 484669 - 281284. Let r(x) = 9594*x**2 + 32*x - 191. Let h be r(6). Let v = l - h. Round v to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 16. Let w be (1\/(-2))\/(3\/z). Suppose 4*o + 16 - 4 = 0, w*p - o - 9 = 0. Solve -2*l - p*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(4 + (-1 + sqrt(108) - sqrt(108))**2)*2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (40 + (-21 - (-17 + 2))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 121426?\nAnswer: 728556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.825 * 4771.\nAnswer: 3936.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226840368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*s - 5322 - 7698 = 4755 for s.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32202 in 0, -2, -2\/3, -1\/4, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*r**2 - 20*r**2 + 12*r**2)*(-2*r**2 + 4*r - 4*r) as k*r**3 + n*r**4 + b*r**2 + c + g*r and give n.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v - 3*x - 4 = 0, 2*v + 12 = -5*x. Let o(g) = 3*g - 10 + 11 - 4*g - 3. Let i(p) = 31*p - 18*p + 3 - 11*p. Calculate v*o(a) + 3*i(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10846099 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4824 - 4830 - 4830 + 24149 - 4832 - 4833 - 11*m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 m when four letters picked without replacement from {y: 4, w: 10, i: 4, m: 2}?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2.45, 7\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -315297*b**3 - 12505347*b wrt b.\nAnswer: -1891782*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/3))**(-26)\/(i**(2\/17)*i*i\/i**(1\/11)))\/((i**1\/i*i)**(1\/36)*i*i*i**(-2\/9)*i*i*i**(4\/3)\/i) assuming i is positive.\nAnswer: i**(-333227\/6732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -179*l**5 + 2*l**4 + l**2 + 1753*l wrt l?\nAnswer: -3580*l**3 + 24*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {e: 4, x: 1, u: 3, w: 3, y: 5, v: 4}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 2*t - 5. Suppose 2*a - 76 = -4*w + 4*a, -62 = -2*w - 5*a. Suppose -2*k + 24 + 13 = -5*l, 3*l = k - w. Is o(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -28\/15 (c) 2\/15 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12074*l**3 + 10846*l**3 - 5269*l**3.\nAnswer: 17651*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-21)\/p)\/(p\/(p**(-13)\/p)*p) assuming p is positive.\nAnswer: p**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3365872.2 microseconds?\nAnswer: 0.0009349645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 798275 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 3 = 5*r - 2*b - 0, 2*r - 9 = 75*b - 72*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 930 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2403 + 2775623?\nAnswer: 2778026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-10))\/(3*(-2)\/(-50))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13010721 times 4?\nAnswer: -52042884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393557*x**3 + 234726*x**3 + 20145*x**3 - 103752*x**3.\nAnswer: 544676*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1 + (37 - -3)\/(-5). Suppose 0 = 6*t + 5 + 25. Let f be t\/5 - o - 3. Solve 0 = -4*j - f, -3*c - 4 = -4*j + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 5*c**2 + 3*c - 3. Let v be u(-3). Let n(d) be the first derivative of 2 - d + 1\/4*d**4 - 5\/2*d**2 - 5\/3*d**3. Calculate n(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 13. Let n = 81 - 103. Let f be p(n). Let k be 3 - (-21)\/f - (-16)\/(-24). Solve 3*o + 7 = 4*g, -g = 2*o - k*o - 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 7*f**2 + 23*f + 23. What is k(-9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*v = -2*v - 518, v = 2*u + 200. Calculate the remainder when 40 is divided by u\/(-14) + (-10)\/35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -219*t - 652. Let z be h(-3). Solve -z*q = 4*k - 3 - 18, k = -5*q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118907916 and 5696?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.09092234\nAnswer: 0.009092234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -23. List the prime factors of ((-104)\/(-2))\/((-4)\/x).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 286\/77 + (1 + -4 - 1). Let f = -4 - -4.3. Which is the closest to 2? (a) f (b) w (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 1, -1\/8, -1\/63?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, u: 6, j: 1, b: 2, s: 1, o: 2}. What is prob of picking 2 o?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - e2?\nAnswer: -e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -3 - 3 - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(704) + 4 + (sqrt(704) + 0 - sqrt(704) - sqrt(704)) + 5) + (0 + sqrt(704) + 1 - sqrt(704)) + 1 + sqrt(704)*-1)**2.\nAnswer: -3248*sqrt(11) + 35337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l**2 + 13*l + 13. Let i(g) = 20*g**2 + 25*g + 26. Let n(d) = -11*b(d) + 6*i(d). Give n(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4431*f - 4439*f = -24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12*-2)\/(-4) - -3. Find the second derivative of o - 3*o**3 + s*o - 4*o wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 167.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000824643 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164 and 209060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z**4\/7 + 23668*z**3\/7 + 1124808*z**2 - 5903167248*z\/7 + 694381248\/7 = 0 for z.\nAnswer: -492, 2\/17, 594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l**2 + l**2 - l**2 - 3*l**2 + 1 - 15*l - 5*l**2 as v + j*l**2 + u*l and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j*n*q**3 - 201880*j*n*q**2 - 51*j*n - 152391094*n*q**3 + 4*n*q wrt q?\nAnswer: 12*j*n - 914346564*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2066\/(-2))\/(3*(4 + (-122)\/30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -4, 7, -9.\nAnswer: -9, -4, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/(-15) + (-621)\/(-60) and 1 + -4 - (-196)\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 85*k**2 + 37*k + 209. Let r be z(42). What is the fifth biggest value in r, -5, -2, 0.9, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n + 5*t = 15, -4 = -3*n + 2*t. Suppose 0 = 3*a + 3*a. Is n + 47 - (4 + a) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 + 2*l - 4*l - 113.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/17 in 2\/407, 1, -36, -5, -6\/7?\nAnswer: 2\/407","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 + 5*c - 5. Suppose -33 = -127*a + 124*a. Let b(o) = -1 + 8*o + a*o - 39*o + 9*o + 12*o. Calculate 10*b(j) - 2*h(j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 0.3, 0.1, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 949150 to the nearest 10000.\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z + 8 = 0. Let j = 2 + -1. Let u(b) = 4*b**2 + b - 3. Let f be u(-2). Solve j = -z*r + f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-30)\/8)*10. Suppose -g + 19 = 2*h - 2*g, h - g = o. Solve 0 = -b - 3*l + h, -2*b + 5*l = -4*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)\/k*(k*(k**(-6)*k)\/k)\/k)\/(k**(-1\/3))**(-7)*(k*k*k**(-1\/3)*k)**(-5\/2)\/(k**(2\/5)*k*k*k*k**1) assuming k is positive.\nAnswer: k**(-704\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 2278, 6274, 12168, 19954, 29626, 41178?\nAnswer: 54604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2)*-2)\/(-2 - -1). Factor 4*d**2 - 2*d + d**2 + 228*d**4 + 5*d**p - 233*d**4 - 3*d.\nAnswer: -5*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 9*x**2 + 20*x + 27. Let g be o(11). Suppose 49*f + 2*k = 44*f + 2353, 0 = -f - g*k + 489. What are the prime factors of f?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*i - l - 2*l, 23 = -i + 5*l. Suppose 5*s = -i*c - 20, 2*c - 12 = 3*s + 5*c. Let t = 0 - s. Solve 3*g + 24 = 4*u, -g - 3*g = -t*u + 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 7*r**2 - r - 7. Let i be w(-7). Let j(o) = i*o - 6 + o - 2*o. What is j(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 838\/35 - 114\/5. Sort -3\/4, q, 2\/5.\nAnswer: -3\/4, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/68)\/((-6)\/(-24))*2\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 319*c + 732*c + 43091 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, i: 5, j: 8, b: 2}. Give prob of picking 2 i and 2 j.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -59*v - 42*v**2 + 59*v - 27*v**2. Let y(b) = -b. Determine y(z(i)).\nAnswer: 69*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 47. Suppose g*q - 13 = 4*h - 82, 5*h - 91 = -q. Let z = 12 - 10. What is the least common multiple of h and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(4 - (0 - -2)). Let m be (-452)\/5 + (-2)\/(-5). Find the common denominator of -4 + u + (-1314)\/m and -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -467 (base 13) in base 6?\nAnswer: -3305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.7 + 3.3. Put -0.4, 3, l, -3 in descending order.\nAnswer: l, 3, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -2\/7, -2, -655, 0.02, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/20 and 59\/1022.\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuzuzuuuuz. Give prob of picking 2 z and 1 u.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -143854 and -143872 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times 0.376?\nAnswer: -7.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 367 + 1690 = 69*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, r: 5}. Give prob of picking 1 r and 2 l.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2068628639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1547? (a) -16\/5 (b) -3 (c) 0.01 (d) -4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -31 + 51 + 10*i + 36. What is the tens digit of s(25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 11*b - 15. Let i be z(5). Factor -24*h**3 + 22*h**i - 35*h**5 - 20*h**2 + 11*h**5 - 12*h**4 - 6*h.\nAnswer: -2*h*(h + 1)**3*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 509*v - 104. Does 15 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*p**2 + 1208*p - 1204*p + 10 - 23*p**2 wrt p?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/9)*q**(-1\/3)*(q**(-1))**(-24))**(2\/81) assuming q is positive.\nAnswer: q**(418\/729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 16. What is the remainder when 37 is divided by j(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**4 - 35*r**3 + 225*r**2 + 35*r - 220 = 0.\nAnswer: -11, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h + 6. Let q be a(13). Let w = -66 + q. Solve -w*c - 1 = 4*b - 6, 0 = 4*c - 5*b - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 0.5714, -21, 3?\nAnswer: 0.5714","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 19*z**3 - z**2 + 1 - 6*z**2 + 0 + 4*z**2. Calculate p(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 77?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-376 - 571 + 139 - 562)*(-3*f + 2*f + 3*f)*(4*f**2 - 4*f + 4*f).\nAnswer: -10960*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1994888 + 1994890. Find y such that -4*y**t + 2\/7*y + 4 - 2\/7*y**3 = 0.\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20812 and 2244.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + (sqrt(425) - (sqrt(425) + 1 + sqrt(425)))*6)*5 + -1)*3)**2.\nAnswer: 110700*sqrt(17) + 3457629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 16 and 10.8.\nAnswer: 26.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -222826742*o**4 - o**2 - 7627476.\nAnswer: -5347841808*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.084 (b) 45 (c) -1\/534\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*z + 1567 = -7*z + 20043 - 11378 for z.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 54 + 55 + 9*u.\nAnswer: 9*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 330 = s. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2845*s + 2850*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-390642)\/48825 + (1 - -7))\/(33\/(-285)) and 49\/5115?\nAnswer: 5115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3018 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334914*b + 334959*b = -135 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1841 is divided by 1148.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 7*t**2 - 6*t + 2. Let n be u(-6). Let g(j) = 2 - 1 - 2*j**3 - 2*j - j**n - 2*j. What is the tens digit of g(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574620 is divided by 191327.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40\/17? (a) -156 (b) 0.01 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**4 - 2824*b**3 - 2868*b**2 + 28312*b - 22624 = 0?\nAnswer: -4, 1, 2, 707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 19262*y + 38485. Calculate b(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 18 = 4*h, h = -3*d - 3 + 12. Differentiate 38 - 3*j - 33 + 20*j**2 + h*j wrt j.\nAnswer: 40*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = 3*o - 97. What is the remainder when 658 is divided by -1 - (o - 4) - -6?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2632*r**3 + 33*r**2 - 3*r + 114378 wrt r.\nAnswer: -15792*r + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215108585 is divided by 154.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - p = -240. What are the prime factors of p\/(-4) + (1 - -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-5\/4)))\/((y*y\/((y\/(y\/(y\/(y**(1\/2)*y))))\/y)*y)\/y*y))**(-24))**(-5\/7) assuming y is positive.\nAnswer: y**(-390\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 823 + -563. Suppose 0*b + 4*j - d = -4*b, -j = 3*b - 197. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 + 2935*x - 1726*x + 1147*x + 24)*(-2 + 2 + x**2) to w*x + p + g*x**2 + s*x**3 and give s.\nAnswer: 2356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 9:09 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14988 divided by -7\nAnswer: 14988\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 - 7542*f**2\/7 + 9480294*f\/7 - 3972243186\/7.\nAnswer: 2*(f - 1257)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-12)\/2))\/((-13)\/((-52)\/16)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72 - 36862*u**4 - u + 36569*u**4 - u wrt u.\nAnswer: -1172*u**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2318625435?\nAnswer: 3, 5, 7, 97, 227651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/25)\/(3\/10). Let l be (w - -76) + 0\/(-1). What is the greatest common factor of l and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -8 - (-3 + 0) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 2. Let h = 168 + -120. Suppose 0 = 11*a + 86 + 134. Let i be h\/a + (-2)\/(-5). Let v(c) = c + 5. Calculate i*v(n) + 5*j(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4636, -9272, -13908, -18544, -23180, -27816?\nAnswer: -32452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -74.8, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 19 = -11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-8))\/((-12)\/48). Let b = 1 - 0.7. What is the closest to 3\/7 in b, i, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**3 - 36*w**2 + 3*w - 12. Give n(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m - 67 + 64*m - 67. Let q be z(18). Round q to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55, -48, -31, 2, 57, 140, 257?\n\"Answer: p**3 - p**2 + 3*p - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:20 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:08 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 197580000 rounded to the nearest 1000000?\nAnswer: 198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -2 + 3*n**2 - 1\/3*n**3 - n. Give y(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/78*(-9)\/2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 12. Solve -2*q = 4*l, 5*q = -4*l - s*l + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6534962?\nAnswer: 2, 7, 607, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82769, 82755, 82789, 82877, 83025, 83239?\nAnswer: 83525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -636, -963, -1962, -4005, -7464, -12711?\n\"Answer: -62*h**3 + 36*h**2 - h - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 135*m**2 - 132*m - 263. Calculate k(134).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 10 = 2*c, 0*p - 5*p + 2*c = -10. Let z = 0.4 + 0.1. Let r = -6 - -5.6. What is the nearest to p in z, -1\/6, r?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36566?\nAnswer: 2, 47, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 254*r - 435*r = 17125 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-2 - (7 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178991, -357980, -536969?\nAnswer: -715958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Let r = -438\/13 + 5199\/130. Let k = r - 29\/5. Which is the third smallest value? (a) k (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, -0.5, -16\/111, 0.1, 2\/17, 0.5, -33?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -10*b**2 - 1\/24*b**4 + 0 + 0*b + 1\/120*b**6 - 1\/60*b**5 - 1\/3*b**3. Suppose 0 = 3*y + 2*y. What is p(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, -1\/8, -0.9, 137 in increasing order.\nAnswer: -2, -0.9, -1\/8, 0.1, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30296570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + q - 2 = 0, -r = -4*r - 5*q - 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0*k**2 + 98*k + k**2 + 2*k**4 - 2*k**2 - 96*k in the form x + u*k**2 + y*k + l*k**3 + c*k**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 109906980 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.986 and 0.09908.\nAnswer: -4.88692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 5*v + 12. Let r be w(-8). Let p = r - 32. Suppose 1 = 4*h - 3*d - 2, p*d = -3*h + 21. Let u(s) = -s**2 - s - 1. What is u(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 424.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 - -145. What is the nearest to 0.1 in -2\/15, 8, m?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1482, -2976, -4452, -5910?\n\"Answer: 9*c**2 - 1521*c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1992?\nAnswer: 5\/1992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -355046 divided by -4?\nAnswer: 177523\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 126*u + 178. Let p(w) = -2*w - 1. Let k(v) = 4*p(v) + y(v). Differentiate k(z) with respect to z.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 - 6 = 32*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a + 59 = -86 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/10)\/((-9)\/423)*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 5*i**2 - i + 30. Let r be z(5). What is the highest common divisor of 775 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -68*c**2 - 1488*c + 176 = 0. What is c?\nAnswer: -22, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*b + 590*b + 867*b.\nAnswer: 1833*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.229 + -4.46. Let k = -1.55 + q. Let y = 0.346 - k. What is y rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10012202022021 (base 3) to base 9\nAnswer: 3182267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232 + 54 - 24*a + 68 + 55 + 55.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45773 - 6?\nAnswer: -45780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34097156 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*f + 13. Suppose 12 = -f*d + 24. Solve 3*l + 14 = -5*n + 4*l, 0 = -d*n + 3*l - 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -876*x - 170824. Determine d(-195).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*a + 10, 0*x + 3*x - a - 2 = 0. Suppose 2*p = x*b + 3*b - 492, -p - 264 = 2*b. Calculate the common denominator of -25\/44 and (2\/(-3))\/(p\/(-60)).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 181*v**4 + v**3 - 13304*v**2?\nAnswer: 4344*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143879\/120 + 1199. Let f(n) be the third derivative of 0*n**3 - 1\/420*n**7 + 1\/120*n**5 - 1\/24*n**4 + 5*n**2 + 0*n + 0 + d*n**6. Factor f(w).\nAnswer: -w*(w - 2)*(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 44. Let a(l) = 3*l**2 + 15*l + 5. Let p be a(c). Solve -7*g - 27 = -2*g + 2*x, -5*g + p*x = 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6956677.549 rounded to the nearest ten thousand?\nAnswer: 6960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 7:00 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s + 1296 = 0. Calculate the remainder when s\/10 - (-8)\/(-20) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-4)\/2)*0. Suppose 3*s + 2*s + 10 = w. Let k = 6 + s. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2*v - 348, 0 = 2*m - 4*m + 5*v + 342. Suppose -m*u + 10 = -174*u. Solve 2*o = -5*g - 10, 0 = -u*g - 2*o + 4*o - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1924*j**3 + j**4 + 1 + 1790*j**3 - 6*j**2 + 7*j**2 - j to the form c*j**2 + f + z*j + r*j**4 + a*j**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 122845997 at most as big as 122845998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -725525, -1451053, -2176581?\n\"Answer: -725528*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 66 = 81. Let k(y) = 6 + 0*y**2 - 11 - 2*y**2 - 12*y**3 + 10*y**u. Let q(p) = p**3 + 1. Give k(a) + 4*q(a).\nAnswer: 2*a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 54*m**2 - 73*m. List the prime factors of b(6).\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107172613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {d: 6, y: 12}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104 - 2*y**2 + 0*y**2 - 210 + 25*y + 105 + 17*y**3 wrt y.\nAnswer: 102*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1913*w - 383. Let c be u(26). Suppose 10*d = 5*d + c. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 11234?\nAnswer: -11241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1466\/7 - 210. Let y = 208676 - 208672. What is the closest to -1\/4 in y, 0, -3\/4, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2 + (-16)\/(-32). What is the closest to 2 in 1, -0.5, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/18 + 124\/(-6). Let y = -12 - s. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 504 = 7*u + 648 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 30*x**2 + 30*x - 11. Let k be h(29). Let d = -11 + k. Solve d*q = 3*q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21439198 divided by -12?\nAnswer: -10719599\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21751403?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -992*p - 429 = 3539 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 318282579 and 1077.\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 475\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14599087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 5*f - 4*f + (-3 + 2*f + 3)*(1 + 3 - 5))*(40*f + 5*f - 11*f).\nAnswer: -34*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 193, 11\/8, -1\/2, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-73 + (4 + 4 + 11 + -1 - 13))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-15)\/f*f\/(f\/f**18) assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.03. Let f = 4.7 - 4.6. Which is bigger: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7911 - -7946. Which is bigger: q or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432.757*-1.4.\nAnswer: 605.8598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3163479179 rounded to 2 dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - 3. Let p be (m\/(-3))\/(5\/13050). Suppose -13990 - p = 4*h + 4*v, 5 = v. What is h rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*y + 104, -98 = -5*r - 0*r + y. What is the remainder when 88 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 441429312*a**3 + 441429306*a**3 - a**2.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 31997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 38*r**2 - 320*r - 800.\nAnswer: -(r - 20)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*w - 127020 = 29*w. List the prime factors of w.\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1107.4811531 to two decimal places.\nAnswer: -1107.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 7:53 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13414415?\nAnswer: 5, 7, 487, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o + 8 - 42 - 26 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1110001111101 (base 2) to base 15\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63607492?\nAnswer: 2, 13, 43, 28447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 520 in -1\/4, -1, -297?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 920, 1493, 2064, 2633, 3200, 3765, 4328?\nAnswer: 4889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 1, o: 2, l: 1}. Give prob of picking 1 n, 1 s, and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27975?\nAnswer: 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 11. Suppose 2*q = u + 5. Suppose 4*x - q*x - 50 = 0. Calculate the remainder when x is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (sqrt(1300) - (sqrt(1300) + 1)*3) + 3)**2*3.\nAnswer: 3600*sqrt(13) + 94050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/44, 18\/7, -5\/9, 0.5 in descending order.\nAnswer: 18\/7, 0.5, -1\/44, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**2. Let v(p) = 328*p - 4*p**2 - 663*p + 335*p. Give l(v(z)).\nAnswer: -96*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89834543?\nAnswer: 1567, 57329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74 + 7*f**2 + f**4 - 4*f**2 - 86 + 6*f**3 wrt f?\nAnswer: 24*f + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 831071287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2104.7 and -0.3?\nAnswer: -631.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 3)*(4*u**2 + 4*u**2 - 6*u**2) + 4*u**2 + 0*u**2 - 3*u**2)*((-2*u**2 - u + u)*(3*u - 4*u + 0*u) - 8*u**3 - 7*u**3 + 30*u**3).\nAnswer: -51*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275334 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -84. Calculate the remainder when n is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 4*g**5\/15 + 14*g**2. Let r(o) = -6*o. Let s(k) = 7*k. Let z(m) = -6*r(m) - 5*s(m). Calculate z(b(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -4, 6 in ascending order.\nAnswer: -19, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 2}. Give prob of sequence rr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-8)\/336*-3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 3\/7, 2\/9 in ascending order.\nAnswer: 2\/9, 3\/7, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 16*u + 3760. Calculate the greatest common factor of u and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 16*l**2 + 8*l - 91 - l**2 - 27*l + 22*l**2 + l**2. Is 28 a factor of h(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*o - 15 = -74*o - 5*g, o + 3*g = -19 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1681935.7 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 3, q: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9794555299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-1308\nAnswer: 78.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**22)**(-8\/5) assuming q is positive.\nAnswer: q**(-352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**2 + 220299*y + 47946150 = 0?\nAnswer: -217, 73650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-235427)\/4542 + 1 + 52\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - 3*h**2 + 4*h**2 + (-4*h + 0*h + 2*h)*(-302 + 40*h + 302) + (1 - 1 - h**2)*(3 - 2 - 3).\nAnswer: -79*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3159 is divided by 347.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 8:40 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -8. Let r(g) = 6*g**2 - 34*g - 16. Let a be r(6). Put -5, l, 1, a in increasing order.\nAnswer: -5, a, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/44)\/(36\/40*185\/(-222)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r**3 - 12*r + 26 - 29 + 12*r as n + y*r**3 + c*r**2 + i*r and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + 3. Suppose 0 = 4*o - 39 - n. Let x = -11 + o. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 - -0.02. Let l = -1768.8 + 1772. Which is smaller: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.28 - 0.12. Let r = -0.2 + -1.8. What is the second smallest value in y, r, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9*w**(-11))**(2\/13) assuming w is positive.\nAnswer: w**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p + 6. What is s(6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(1100) + 0 + 2 + (-1*sqrt(88)*4)\/(sqrt(128)*6).\nAnswer: 5 + 119*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/7 - 549*d**2\/7 - 2620*d\/7.\nAnswer: -d*(d + 5)*(5*d + 524)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 0. Which is the nearest to -1? (a) 5 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -94, -94, -96, -100, -106, -114?\n\"Answer: -j**2 + 3*j - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5755257*g**3 - 2877632*g**3 - 2877629*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361237 is divided by 1384.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/140 + (-2)\/3*(-204)\/(-340).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56933 and 422171.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 489101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4*17\/(-238)*91\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 33*k**3 + k**2 + 3*k + 5. Let b(n) = 16*n**3 + n**2 + 2*n + 3. Determine -5*b(a) + 3*z(a).\nAnswer: 19*a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -609 + 607. Let c = -42 - -124\/3. Is c <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*(35 - 29).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwtwau. Give prob of sequence tuaw.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -73094 (base 15) in base 10?\nAnswer: -364639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.9180066*0.3\nAnswer: 0.27540198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*k + 33, 0 = 2*v - k + 11 - 68. Let q be (5 + v)\/11 - (-6 + 0). Solve 1 = 2*h + 3*y - q, 6 = -h + 4*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2792000 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 3*j - 2. Let m(b) = b - 8*b + 0*b + 20 - b**2 - b. Let t be m(-12). Let y = 24 + t. Determine o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -0.2. Let o = 2 + -17. Let f = o - -19. Which is the closest to -2\/7? (a) -1 (b) f (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/8)\/((-3612)\/(-2752))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/11 + 28*k**2\/11 - 98*k\/11.\nAnswer: -2*k*(k - 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*b*y**5 - 3*b*y**3 - b*y**2 - 460*b + 2*y**4 wrt y?\nAnswer: -3720*b*y**2 - 18*b + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h - 31. Let l be y(-7). Let t be 0 - l\/((-54)\/4). What is the nearest to 1 in t, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/3)\/(12\/54). Let t be 12\/(2 - -1) + (-4 - g). Suppose 0 = -2*v - 4*p + 38, 5*p - 53 + 10 = -2*v. Solve -t*b + 0*b = v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 - -1000001011100?\nAnswer: 1000000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1369467 times -0.0702?\nAnswer: 96136.5834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -j - 3*j. Find the third derivative of 0*i**2 - j*i**4 + i**2 + 2*i**4 + 0*i**2 wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 22*y = -21*y + 652, -i - 4*y + 672 = 0. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**6 - 17939*f**5 - 31*f**2 + 334*f - 3 wrt f?\nAnswer: 120*f**3 - 1076340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 times -0.059?\nAnswer: 11.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1333 + 2795548*z**2 - 1333.\nAnswer: 2795548*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2899 + -6674. Let i = t + 17556. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b*q - 704*b*s**2 - b + q*s**2 + 4213*q + s**2 wrt s?\nAnswer: -1408*b*s + 2*q*s + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j - 143304174 = -28392174. Round j to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 4 (b) 0.9 (c) -1\/9 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*o - 12 = 0, 4*k - 12 = -o + 5*o. Let s = -0.2 + 0.1. Suppose 5*z = i - 5*i + 19, 2 = 2*i. Which is the smallest value? (a) z (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 21*h**2 - 1. Let q(y) = 2*y**2 + 2*y - 6. What is the remainder when q(6) is divided by c(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2038 + 680 + 3*m + m**3 + 676 + 679. Let n(s) = s**3 + s - 1. What is -g(f) + 3*n(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(4\/(-6))\/((-12)\/(-45)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -7. Let y = -14.77 - c. Round y to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*l + 4. Let g(s) = 2*s - 5*s**l + 72*s**3 + 5*s**3 - 3*s + 4. Let a be g(-4). What is a rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*9\/147*-7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15002824 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukku when four letters picked without replacement from {k: 3, u: 12}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 1264 + 3488 = 0. Solve -i - m = -172 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2694 is divided by 135?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-3 + 2) - (-7 - -15 - 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*c**3 + 234*c - 473*c + 239*c + 9*c**2 wrt c.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l**3\/5 + 40*l**2 - 284*l\/5 + 72\/5 = 0. Calculate l.\nAnswer: -18, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, 3\/5, -0.17, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80260 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.86758 grams in milligrams?\nAnswer: 54867.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39535, 79061, 118583, 158101, 197615, 237125, 276631?\nAnswer: 316133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50246 and 977466.\nAnswer: 94814202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -422*p - 1684. Let m be q(-4). Let i(k) = k**3 - k**2 - k. Let t(u) = -8*u**3 + 2*u**2 + 4*u - 2. Calculate m*i(l) + t(l).\nAnswer: -4*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 9*w + 4. Calculate m(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 28*f**2 - 5*f - 3. Let l be q(4). Let s = 1750 + -1744. Suppose -s*t + l = -t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 7 - (2 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*y - 1 + 14, 2*y = 2*q - 10. Suppose 5*p - f + 13 = 0, q = -p - 5*f + 16. Let g = -8 + 11. Sort -4, p, g in descending order.\nAnswer: g, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, x: 1, r: 1, u: 1, q: 6}. Give prob of picking 1 n and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26682407, -26682408, -26682409?\n\"Answer: -a - 26682406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 4:11 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3958 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 163 - 69 - i - 81)*(8*i**3 + 7*i**3 + 5*i**3).\nAnswer: -20*i**5 - 20*i**4 + 260*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1)*0 + 2 + 7. Suppose f = -3*d + 57. What is the least common multiple of d and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3, -1\/123, -1, -0.09?\nAnswer: -1\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/254365?\nAnswer: -2\/254365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57303333959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10*s = -48. Let m be 17 + 1 + (40\/4 - s). What is the greatest common factor of m and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561 + 2102 - 977 - 564 - 31*c**2 + 45*c**2.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + (7 - -44) + 1 + -13 + -26?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40\/7*o**3 - 78\/7*o**2 + 36\/7*o + 2\/7.\nAnswer: 2*(o - 1)**2*(20*o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -896 bigger than -901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaoayiiayoaaooyi. What is prob of picking 2 o and 2 y?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -6, 824, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 - 2.9. What is the nearest to 1 in 0.3, -2, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177960958 is divided by 681?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*b + 49 = 0, -2*a = -5*a - b + 23. What is the first derivative of 10*f**4 - 9*f**4 - a - 7*f**4 + 15 wrt f?\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62133143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30372*g**3 + 7636*g**2 + 3?\nAnswer: -182232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1322301 + 121003?\nAnswer: -1201232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4766 - -7427. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -644 (b) 1\/2 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2404 and -50\/601.\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2*d - 5*q + 37 = 0, 5*d - 3*q = 0. Suppose 0 = 9*z + 10 - 37. Suppose a - 320 = -5*i + d*a, z*i = 2*a + 188. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/18*1612\/93)\/((-45)\/30).\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 107500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 - 0.5. Let p = f - 0.1981. Round p to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujuujuuujujju. What is prob of sequence uuuu?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-28) - 1254\/42. Calculate the common denominator of 2\/7 and -2 + b\/(-9) - (-320)\/45.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-24))\/((-2)\/(-12)). Suppose -2*b - 2*c = -l, -2*c - 5 = -5*b - c. Sort -3, -2, b.\nAnswer: -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by (-2 - (-1)\/2)*3344\/(-66)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54331860?\nAnswer: 2, 3, 5, 11, 191, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63.6 - -67.03. What is q rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, -5, 4, 1, -10, 2, -1 in ascending order.\nAnswer: -160, -10, -5, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-675)\/36) + -3 + (-6)\/3\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79047928?\nAnswer: 2, 9880991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*b + 3*b - 3844, 0 = -3*b + 5*y + 11567. Is b a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 19*i + 4*m + 518 = 0, i = -2*m + 247. What is the greatest common factor of 176 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -20?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.4476 milligrams in grams?\nAnswer: 0.0434476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y - 11. Let i(n) = -n - 3. Let w be i(-4). Let f(s) = s - 1. Let r(g) = w*m(g) - 4*f(g). Suppose 13 - 1 = 2*l. What is r(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 316 = -4*g, 12 - 71 = z - 5*g. Let k = z + 89. Calculate the remainder when 49 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -23*p + 50. Let z be a(2). Sort 2\/19, 4\/7, z, 0.17.\nAnswer: 2\/19, 0.17, 4\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/4 - 623*k\/4 + 1887\/2 = 0.\nAnswer: -629, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 945 - 1000 = 0. Let z(f) = 2*f**2 + 3*f - 2. Let w(k) = k**2 + k - 1. What is q*w(y) - 2*z(y)?\nAnswer: y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 668*l - 82155. Give v(123).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1168825 by -5.\nAnswer: 233765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 4) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kylalylnlllllc. What is prob of picking 3 l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t. Let g(o) be the first derivative of 0*o + 0*o**2 + 3 + 8\/3*o**3. Give i(g(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) 1\/34377 (c) 0 (d) -5\/2 (e) 0.16 (f) -4 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 0*m + 3*m**2 + 4*m - m**3 - 5*m. Let w(b) = -b**3 + 2*b**2 - b. Let u(v) = v**3 + 23*v**2 + 130*v - 26. Let y be u(-11). Determine y*k(p) + 5*w(p).\nAnswer: -p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -620.5583532 rounded to two decimal places?\nAnswer: -620.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70631763 to the nearest integer?\nAnswer: 8404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11 - 123.11. Let d = -25694.14862 + 25571.15. Let a = d - p. What is a rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 4*h, 2 = 4*t - 2. Let d(u) = -u**3 - u + 2. Let c be d(h). Let a = c + 7. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222 + -212 + (-8 - (-1 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 + -0.05. What is the closest to -2\/9 in 0.4, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6\/7)*a*a)**(1\/26)\/(a\/(a\/(a*a*a**(-2\/23))))**(-5\/9))**(2\/15) assuming a is positive.\nAnswer: a**(41696\/282555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8805*w - 45953 = -10733 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/3*(66 + 0). Let w be -11 - (-3128)\/((-56)\/(-7)). Suppose w = -4*i + 14*i. What is the greatest common factor of r and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 2:29 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 540 and 7425?\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 + -1.5941. Round j to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 53*n + 486. Calculate x(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - 2*v**2 + 5*v)*(1 + 4 + 0)*(-9 - 27 + 14)*(17*v**2 - 9*v**2 + 3 - 4*v - 6*v**2).\nAnswer: 440*v**4 - 880*v**3 + 660*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1100102 (base 3) to base 9\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1067840 and 106784?\nAnswer: 1067840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + -2.4. Let m = -10 + 8.8. Let h = i - m. What is the third smallest value in h, 0.1, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuxuouubccuc. What is prob of picking 4 u?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -120. Let z be 57 - 0\/(4 - (4 - -1)). Calculate the greatest common divisor of z and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1689120 and 3\/5152.\nAnswer: 11823840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + 0 + -6 - -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(5 + (0 - -1)). Let r = a + 3. Let m = -3 - -2. Sort 2, r, m in ascending order.\nAnswer: r, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/8 and 45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-four fifths of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583914?\nAnswer: 2, 3, 307, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14381606 divided by 21\nAnswer: -14381606\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/21)\/(208\/(-156))*14)\/((-45)\/(-864))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3995 or 4602?\nAnswer: 3995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*a + 4 + 70*a + 61*a + 56*a - 4.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 210, 411, 702, 1101, 1626, 2295, 3126?\nAnswer: 4137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, -14, -23?\n\"Answer: -9*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -2\/7, 5, -4\/5, -13 in increasing order.\nAnswer: -13, -1, -4\/5, -2\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22392 is divided by 6759?\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 856 + -850. Which is the nearest to -2? (a) 0.4 (b) -3 (c) -1\/4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r + 62*r + 36 = -2*o, -42*o + 2*r = 236 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467000 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7.71 - 19\nAnswer: -26.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -292.26604 + 280.266157. Let u = -12 - o. What is u rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + 43. Suppose -135 = -t*h + 99*h. Solve 1 = -7*o + h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1539)*-3)**2 - (3 + sqrt(1539) + -1).\nAnswer: -9*sqrt(19) + 13849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 6}. What is prob of picking 1 d and 1 g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 53. Let w be ((-8)\/(-10))\/(-2 + 48\/r). What is the tens digit of w\/((-6)\/93 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(132) + sqrt(132))*4)\/(-3*sqrt(108)).\nAnswer: -20*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 524821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-25) - 1*-3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869 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: Three letters picked without replacement from {r: 1, v: 2, o: 8, b: 1, m: 7}. Give prob of picking 2 o and 1 v.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 41*k + 255. Determine d(-33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 3*n + 9*n - 4*n + 5*n + 4811.\nAnswer: n + 4811","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*j + 30, 2*j + 49 = 5*c + 54. Let s(z) be the third derivative of -z**6\/120 - z**5\/20 - z**4\/12 - z**3\/6 - z**2. Give s(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*o**2 - 126*o**2 - 254*o**2 - o**2 - 1 + 1 + (1 + 5 - 3)*(3*o**2 - 3*o**2 - 2*o**2) to u*o + h*o**2 + i and give h.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a centimeter in micrometers?\nAnswer: 17000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.765579l to millilitres.\nAnswer: 6765.579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - y**2 + 3*y - 5. Let v be q(2). Suppose -v*n + 986 = -3*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 117585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b + 92*b + 98*b + 49*b to h*b + u and give h.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 - 91*r**4 - 5*r**2 + 56 + 89*r**4 + 41*r**2 to f*r**2 + u + n*r**3 + b*r**4 + v*r and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.104734017 rounded to one dp?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, t: 5}. What is prob of picking 1 w and 1 t?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 4*d + 3*d)*(-5 - 4 + 1)*(8 - 291 + 26) as u*d + y and give u.\nAnswer: 4112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1274) + (sqrt(1274) - sqrt(1274)*1)*1)\/(sqrt(550)\/(sqrt(11)*2)).\nAnswer: 14*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 7*h**2 - 2*h + 3. Let m be c(-5). Suppose m - 12 = l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k\/(k\/(k**(-6)*k)*k))\/k)\/k*k*k**(3\/10)*(k**0)**(-46))\/((k**(-1\/3)\/k)**(-43)*((k\/(k*k**(-7\/5)))\/k)\/k*k*k*k**(-2)*k) assuming k is positive.\nAnswer: k**(-1903\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1501 in 1, -2\/5, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - p - 0*p + 7, 3*h + 16 = -4*p. Let n be (2\/h)\/((-1)\/28). Suppose -a - 4*a + 35 = 0. What is the highest common divisor of a and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -277 - -23?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(30)*1)\/(sqrt(10) + 2*sqrt(810)) + 3 + ((1 + -1 + sqrt(243))**2 - (sqrt(243) - (sqrt(243) - (sqrt(243)*-1*-5 + sqrt(243) + sqrt(243))))**2)*-6.\nAnswer: -4*sqrt(3)\/19 + 69987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-196)*14*(-9)\/(-30).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/5)*q**26*q assuming q is positive.\nAnswer: q**(133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -152, -348, -624, -980, -1416, -1932?\n\"Answer: -40*y**2 + 4*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-2*p - 1 + 1)*(5*p**3 - 2*p**3 + p**3).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 11*a + 91. Let k(t) = 22*t + 182. Determine 2*k(o) - 5*u(o).\nAnswer: -11*o - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 103459142 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a - 1179 = -3*l - 54*a, 4*l - 1563 = 5*a. Is l a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141876*u = 141768*u - 5940 for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -50.07. What is the closest to -2\/5 in 1\/2, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + s - 12 = 0, -27*s = -5*i - 22*s - 35. Suppose -2*o = -3*o + 1. What are the prime factors of o*1*-9*(i - 7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - 25?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 1 = u, -4 = -3*a + 4*u + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 16*g**2 + 3*g - 4. Let x be i(2). Let p = x + -63. Calculate the smallest common multiple of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21655 by 15455.\nAnswer: 4331\/3091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 5*h - 2*h)*(-8*h + 2*h - 14*h - 2)*(5 - 4 - 3) + 22*h + 5*h**2 - 22*h + 0*h**2 - 3*h**2 + h**2 + (3 - 2*h - 3)*(2*h - 2*h - 2*h) - h**2 - 5 + 5.\nAnswer: -34*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2*-1 - (-7 + 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 2*y - 2. Let f(j) = -2*j**2 - j - 1. Let w be ((-212)\/(-371))\/(1\/7). What is w*f(v) - 3*x(v)?\nAnswer: -2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 14) to base 5\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10716 to the nearest one hundred.\nAnswer: -10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v - 95. Let j be b(-15). What is the units digit of j\/20*489*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*u = 16, 3*u - 15 = -2*u. Suppose 15 = -5*h, -k*g - 4 = h - 25. Suppose 6*y - 150 = y. What is the greatest common factor of g and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkkztt. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 97776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 12 - (0 - -7) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c**2 - 2*c + 3. Suppose 7*d = 302 + 111. Suppose 3*a - 4*v - 53 = 18, -3*a - 2*v = -d. What is the lowest common multiple of a and r(2)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, n: 3, v: 6, e: 5}. What is prob of sequence vvu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 5\/2 (c) -1.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 44 - 82 + 38. Let j(g) = -22*g**2. Give j(u(m)).\nAnswer: -198*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = i + 323, -1 = -i. Suppose o - m = -3*o. Suppose -2*z + 5*u + o = 0, 0 = -5*z - 2*u - 0*u + 159. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 325800364 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/6*33\/22. Calculate the remainder when 94 is divided by (6 + -4)\/(w\/(-32)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3546 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a century in decades?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 5*s - 2. Let r = -2 + 9. Let w(f) = -f + 4. Let v be w(r). Determine y(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 3*q - 20, -4*y + 4*q = 3 - 51 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -156073 (base 10) to base 8\nAnswer: -460651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.181 + 0.019. Sort -1, g, 1, 0 in ascending order.\nAnswer: -1, 0, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 1 + (15 - 13). Let g = r - 2. Find the second derivative of 7*i**2 - 10*i - i**2 + 11*i + g*i wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65 + 14*i**3 - 314 - 158*i**3 - 109*i**3 with respect to i.\nAnswer: -759*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 21, 59, 133, 255, 437, 691?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 3:58 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - (-68 - -10))\/2. Solve 0 = f*z - 10*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -483?\nAnswer: 1932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3990 (base 10) in base 3?\nAnswer: 12110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -39. Suppose 2 = z + u - 6, 2*z - u = p. Suppose 4*v - 81 = -3*j, 0 = z*v + 4*j - 95 + 29. 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: Sort -0.1, 267.8, -929 in increasing order.\nAnswer: -929, -0.1, 267.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -394*m + 19592. Give b(50).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1400 - -2449. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/8 + (-10815)\/(-140). What are the prime factors of 41379\/d + 2\/(-4)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-75*((-28)\/6 - -3))\/1 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2273247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 15*z + 27. Give v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-39) + (-147)\/(-364)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 9:25 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 11*u - 1. Let x be i(8). Let a = x - 20. Let n(b) = -2*b + 37*b + a*b - 5*b. Let t(o) = -2*o. Determine n(t(l)).\nAnswer: -66*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 + 10)\/(2 - (2 - -2)). Do t and 1\/534 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 929732 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minus -132?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2. Let c(h) be the second derivative of h**3\/3 - 149*h**2\/2 + 87*h + 2. Give c(m(t)).\nAnswer: -4*t**2 - 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fuupvuuvfvuuvvf?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205229879 + -0.212.\nAnswer: -205229879.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3\/4, 0.1, -11227, -3\/4 in descending order.\nAnswer: 3\/4, 0.3, 0.1, -3\/4, -11227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k - 193 = 33*k. Is k\/5 + (-14)\/(-35) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 16.4. Which is the third biggest value? (a) j (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 394 + -389. What is the third biggest value in h, -3, 1\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:22 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 2:28 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 3 (b) 4 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22275478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*u, j - 3*u = -u + 11. Let x(a) = a**2 - 2*a. Let q be x(j). Let y(i) = -3 + i**2 - 4*i - 2*i + 2*i. Give y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 5*t + 2*t)*(-9 - 7 + 25).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 5 + 5)*(-3 + 3 + 2*t) + (-3 - t + 3)*(5*t - 5*t + 5*t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*w**2 - 35*w**2 - 26*w**2 + 87*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 1445 - 269 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414 and 200514?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -275429201*y**2 + 190948464*y wrt y.\nAnswer: -550858402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-12))\/((-39)\/9)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2362551 to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**7\/42 - 17*q**6\/15 - 24*q**5\/5 - 47*q**4\/6 - 31*q**3\/6 - 1224*q + 1. Factor i(c).\nAnswer: -c*(c + 1)**3*(c + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2\/33)*w*w)\/w)\/w)\/(w**15*w))\/(w**33\/w)**(-1) assuming w is positive.\nAnswer: w**(526\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 830*f**3 - 2355*f**3 + 788*f**3 + 801*f**3.\nAnswer: 64*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -156497, -312996, -469493, -625988, -782481, -938972?\n\"Answer: u**2 - 156502*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 24 = -2*b, 4*r + 2 = -b - 30. Let s(n) = -n**3 - 6*n**2 + 15*n + 4. What are the prime factors of s(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(5\/80)*(-7)\/((-210)\/15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 139*r**3 - r**2. Determine l(-1).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1439 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**(-46)\/(i**(2\/5)\/i)**(-1\/25))\/(i**(3\/7)*i**(-3\/11)\/i)**11 assuming i is positive.\nAnswer: i**(-3917\/1750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 9) in base 16?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 10 + -5 + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 v, and 1 t when three letters picked without replacement from {y: 6, o: 6, t: 5, x: 1, l: 1, v: 1}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -159+75105420573\nAnswer: 75105420414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpc when three letters picked without replacement from cpcc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 7*j - 6. Let c be m(-5). Let b(v) = v**2 - v + 1. Let u be b(0). Let p be (-20)\/(-90) + 125\/45. Put c, u, p, 5 in decreasing order.\nAnswer: 5, c, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39317234 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 79\/7 + 6\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 3*n**2 + 8*n + 8. Let h be g(-6). Let q = h - 81. Calculate the highest common factor of q and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 35 - 52 - 43 + 2*p - 220*p**2.\nAnswer: -220*p**2 + 2*p - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 3 - 0 - (6 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 23*t - 65. What is the smallest value in 0.3, -4\/11, t?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364475534.9 rounded to the nearest 10000?\nAnswer: 364480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011010 + -111?\nAnswer: -110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426954 > 2426957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -s - 2*p - 0*p, 5*p = 3*s - 32. Let l be (1 + 24\/72)\/(2 + 8\/6). What is the smallest value in 2, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-8)\/(-10))*(-24)\/60?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 2*t + 2*t**2 - 10*t**4 + 187 - 188 - 2*t**3 to the form o*t**3 + x + i*t**2 + c*t**4 + v*t and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 535341161, 1070682322, 1606023483?\n\"Answer: 535341161*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by 4955\nAnswer: 57\/4955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 2:33 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -27*c**5 + 30612*c**4 - 84888*c**3 + 71262*c**2 - 10173*c - 6786 = 0.\nAnswer: -2\/9, 1, 1131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5791 - 2832. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1966.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512367?\nAnswer: 3, 233, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43330 is divided by 3167.\nAnswer: 2159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-187)*55)\/(-1*45\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/15488 and 77\/133080?\nAnswer: 257642880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.4, 5, -55?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 326, 326, 336, 362, 410?\n\"Answer: m**3 - m**2 - 4*m + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -67889*d - 475342. What is h(-7)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1782 by 891.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*n + 2*g - 2, -3*n - 1 = 5*g. Suppose -n = -t - 7. Let c = 2 + -2.02. Sort c, t, -3.\nAnswer: t, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/135598660?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.1 and -0.1?\nAnswer: -1.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -2 (c) 8431 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635287 is divided by 158763?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 1085, -1\/9 in descending order.\nAnswer: 1085, 46, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.04 + 0.04. Let r = -7 - l. Let v = 0.5 - 0.5. Sort 0.4, v, r.\nAnswer: r, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98 + -44. Let f = 54.00000003 - h. What is f rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19\/43 + 1805\/387. Calculate the common denominator of w and -88\/525.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 4. Suppose -3*l + 31 = 2*k, 3*l - 7 = 4418*k - 4417*k. Which is the smallest value? (a) -0.2 (b) l (c) h (d) -2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (2 + 0))\/(1 + 1). Suppose 4*c - 2*c - 6 = 0. Suppose -c - 7 = -5*l. Solve 0*s + l*s + 2 = a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3))**(2\/7)*h**(-4)*h**(3\/5) assuming h is positive.\nAnswer: h**(-149\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = -4. Let o = 13231 + -13226. What is the third biggest value in -1\/4, h, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068334 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(17) + sqrt(17))*3 + 1.\nAnswer: 1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140162 by 6.\nAnswer: 70081\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14 + -6 + 13 - -20. Is 10 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 16 - 13. Let j(h) be the second derivative of 3\/70*h**5 + 0 + 0*h**2 + 3*h + 1\/42*h**4 + 0*h**b. Factor j(v).\nAnswer: 2*v**2*(3*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(144) + sqrt(144) + sqrt(144)*-1 + sqrt(144))\/(3*sqrt(24)\/sqrt(3) - sqrt(8)) - (5 + (sqrt(128) - (3*sqrt(128) + sqrt(128))*2))))**2.\nAnswer: -9440*sqrt(2) + 111792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 4:10 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 60, -34 in decreasing order.\nAnswer: 60, 0, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 1585*h + 79852. Let k be z(52). Suppose t = 6*t - 85. Let x be t\/(-1 - 6\/(-4)). Calculate the greatest common divisor of x and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.6 (b) -0.1615 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*f**3 + 7*f**2 + 0*f**2 - 11351 + 11347 as l + w*f**2 + k*f**3 + p*f and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**0)**(-7))**(-14) assuming x is positive.\nAnswer: x**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times 0.087332\nAnswer: 0.01222648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 147355\/6 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -41. Let l be 3\/s*13 + -2. Let f = 6 - 4. Sort f, 2\/15, l in decreasing order.\nAnswer: f, l, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -124*g**2 + 5*g - 20. Let i be p(8). Is (4\/(-16))\/(1\/i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 0.84 (c) 28399 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105147 and 63.\nAnswer: 105147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5341017, 10682034, 16023051?\n\"Answer: 5341017*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/(2\/4). Let i be 2 + (1 - (4 - m)). Which is the smallest value? (a) 3\/5 (b) i (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 7*l**2 - 12*l + 74. Give p(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 9 + 21. Suppose -4*t = -3*t - 3*m + x, -3*t + 4*m = 25. Let h(z) = -2*z**3 - 9*z**2 - 9*z + 6. Is h(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57139152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/12 and 85\/307308.\nAnswer: 307308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 436*c**3 + 410*c**3 - 9*c - 845*c**3 - 2. Suppose 2*j - 6 - 4 = 0. What is the tens digit of f(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4973222 millilitres?\nAnswer: 0.0004973222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1104620 and 68486440?\nAnswer: 68486440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**4\/16 + 13*f**3\/12 - 6*f**2 + 9*f + 243. Let y(x) = 0. Calculate x.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59263*i**2*j + 331352615*i**2 + 91*i*j with respect to j.\nAnswer: 59263*i**2 + 91*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8351, 8350, 8349, 8348?\nAnswer: 8347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-195) + (-2)\/5 + 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/34? (a) 1\/2 (b) 1 (c) 4 (d) -254020\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (2 - 20\/12). Factor w*m**2 + 4*m - 4\/3 - 7*m**3.\nAnswer: -(m - 1)*(3*m + 2)*(7*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 858\/(-156)*2\/(-61). Do -1 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -3*g**5\/2 + 7*g**4\/12 - 2*g**2 + 2*g - 3. Find the third derivative of m(i) wrt i.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3200.403 - -109.\nAnswer: 3309.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.033 + 1295.033. Let z = 1178.3 - q. Round z to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1742 times -0.135?\nAnswer: 235.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 13. Let y be 2\/n*4 - -1. Let s(l) = y*l - 2*l - l + 3. Determine s(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*b = 4, -142*z = -146*z - 4*b + 8. Put -48, z, -5 in ascending order.\nAnswer: -48, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.687 times -0.2?\nAnswer: -0.1374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/900 and -59\/22?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.3. Let r = 11 - 8. Let h be 1 - (-2)\/(-12)*(-1122)\/(-170). What is the closest to r in u, -4, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15100 + 24250. List the prime factors of h.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 193 = -12. Suppose -46*y + j*y = 70. Let l = 28 + y. Solve 3*s - 2*n - 8 = 0, l - 34 = s + 5*n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcr when three letters picked without replacement from gghgcghrhgmmgg?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272146 + 272146 + 7*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0 - 2. Suppose -o*q + 4 = 0, 3*q - 11 = -5*f + 15. Solve f*x = -14 - 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28*(-30)\/160)\/(570\/(-3800)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -320*z**5 - 134320*z**4 - 10167180*z**3 - 7575065*z**2 - 1889575*z - 157290 = 0.\nAnswer: -321, -98, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 356\/(-7)*(114 - 149). Is s >= 1780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 4*n**2 - n + 1. Let y be x(4). Let j = y - -10. Let u(a) = a**3 - 8*a**2 + 9*a + 6. Calculate the least common multiple of u(j) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-72)\/180 + 69\/(-15). Let d = -10 - -13. Sort f, 7, d in descending order.\nAnswer: 7, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 455\/616 - 318\/848\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(16*(-30)\/(-480))*((-2)\/2)\/(-2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {j: 6, p: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2204*0.2\nAnswer: -440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = -4*c. Does 7 divide 112\/c + (-6)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9368473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*r + 6 + 4*r + 0*r**2 - 2*r**2 - r.\nAnswer: -2*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.031 to two decimal places.\nAnswer: -3.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*1*(-8 - 3) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 v when three letters picked without replacement from vkdkkdkyddvvyvk.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270015904 to the nearest integer?\nAnswer: 16432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 26*n. Let k(c) be the second derivative of -c**4\/4 - 16*c + 9. Give k(l(r)).\nAnswer: -3*r**4 - 156*r**3 - 2028*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28425755509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in -0.2, 1\/6, -1\/10, -33?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 6:04 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let b = 2 + 1. Let w = b + -1. Let t(f) = 0*f**w - 3*f**2 + 5*f**2. Determine t(r(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 3 + 5 + -1. Solve 0*w - 2*w - 8 = 0, 0 = 2*c - m*w - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 29647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 - 244*u**2\/7 - 29800*u\/7 - 58608\/7.\nAnswer: 2*(u - 198)*(u + 2)*(u + 74)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -31*z. Let o(i) = i + 69. Calculate o(c(j)).\nAnswer: -31*j + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 3, 61\/2, 2326766 in decreasing order.\nAnswer: 2326766, 61\/2, 3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 254 + -4824\/19. Let g = 16.74 - 16.54. What is the smallest value in g, w, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4715*j**2 - 1697.\nAnswer: -9430*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3 + 14 + 4*b - 3*b - 2*b. What is the remainder when 23 is divided by k(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 39 + 161. Let p = v - -52. Let k(o) = -2*o**3 + 6*o**2 - p*o + 3*o**3 + 17*o. Calculate k(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44430304 (base 6) in base 13?\nAnswer: -37c792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -156*y + 4059. Let k be v(26). Solve -k*i - 2*f + 5 = 0, -i - 2*f = 2*f - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -1\/5 (b) 447 (c) 28 (d) 1\/4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1330 + 1358.3. Which is the second biggest value? (a) 0.4 (b) 4\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 153*r - 1519. What is m(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 12:28 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7930 + 14251. What are the prime factors of j?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 338.551 + 0.449. Let h = p + -334. What is the fourth biggest value in 10, -0.4, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 558\/((-8)\/12*-3). Let d = -76 + l. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/335 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 21. Factor -3*x - 3 + 2*x**j + 6*x - 5*x - x**2.\nAnswer: (x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8786363.\nAnswer: 8786363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*g = 20, -g + 5566 = -3*z. Let s = 3325 + z. Suppose 11*d + 599 = s. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 5:02 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(7\/(-42)*4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 22.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14.6, 4, 2274.\nAnswer: -5, 4, 14.6, 2274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 289*v + 98. Let b(t) = 58*t + 19. What is 11*b(p) - 2*d(p)?\nAnswer: 60*p + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 776612299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -78434.\nAnswer: -3\/78434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14771.383 + -14926. Let b = 152.9 + z. Let k = 1.717801 + b. Round k to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + 222167508.\nAnswer: 222167508.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2280*x - 29737. What is h(-13)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 72, 59, -0.4 in decreasing order.\nAnswer: 72, 59, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 286 - 285. Suppose 2*l + 22 = 3*n - 0*l, 0 = 4*l + 20. Put n, -2, c, 3 in descending order.\nAnswer: n, 3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 18*p + 287. Let k be w(-16). Put k, 2, -1401 in decreasing order.\nAnswer: 2, k, -1401","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.4. Let r be (-51)\/108 + (-1)\/(-4). Let i be (-3)\/(-1) - -4*(-93)\/108. Which is the second smallest value? (a) i (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85626944 divided by -776?\nAnswer: -110344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 2*n + 10. What is the remainder when ((-11)\/n)\/(1\/(-2)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29, 25\/4, 1, -11\/10?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 15*f - 12*f + 36 = x, -3*f + 2*x = 67 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 6*f**2 - 3*f - 1. Let q be v(5). Let b be (q\/18)\/((-2)\/(-12)). Find the second derivative of w**3 + 2*w**3 - w - 5*w**b wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/870 and -15\/678716.\nAnswer: 10180740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16396399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfpf when four letters picked without replacement from {p: 5, f: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/468146208 and -37\/4.\nAnswer: 468146208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 4*v + 4*v - 5*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from {v: 1, y: 1, n: 1, j: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p = p + 42. Solve -2*q - 2*q + 5*i = 23, p*q + 2*i = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = -4*g, -5*g - 2*u + 51 = 41. Solve g*r + 28 = -10*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 488*j - 123449. Determine a(253).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3*y**(1\/4)*y*y**(-4)*(y*y**(-1\/2))\/y*(y*y*y**(-2\/3)*y*y\/y**(-4)*y*y)**(-45) assuming y is positive.\nAnswer: y**(-1681\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 5:31 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 597409.89 hours in weeks?\nAnswer: 3556.01125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -112, 41214?\nAnswer: 41214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*d + 9025 = -155*d + b, 9033 = d - b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3632 or -3631?\nAnswer: -3632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050009.207143 - -1?\nAnswer: -1050008.207143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 2*c - 1. Give u(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -99825*j - 51. Let p(o) = -7679*o - 4. What is -51*p(m) + 4*s(m)?\nAnswer: -7671*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -260000 to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6300115*m**4 - 6474508*m**2?\nAnswer: 151202760*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30\/23 + 25\/69. Which is the smallest value? (a) -2\/11 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -401 + 567. Let v(q) = -174*q + 8 + 0*q**2 + q**2 + f*q. Calculate v(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.84 - 0.16. Let l = -12.99911 - b. Round l to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143618671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 12133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162535?\nAnswer: 5, 32507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from lnmlkntlklhnllt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30970 divided by -5\nAnswer: 6194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*i**3 - 625*i**2*v**3 - 9*i**2*v + 34*i*v**3 + 23*i*v**2 + i*v + i wrt i?\nAnswer: 108*i - 1250*v**3 - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 11*j + 12. Let q be i(-9). Let r = 2 + q. Let m = 2.2 - 2. What is the second biggest value in r, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 12:41 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*f**5*x**2 - 103*f**5*x - 5*f**2*x + 2*f**2 + 15*f*x**2 + f*x wrt f?\nAnswer: 1620*f**2*x**2 - 6180*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) -1 (c) -1.4 (d) 15\/7 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 315*y**2 + 409*y**2 + 76*y.\nAnswer: 94*y**2 + 78*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 5\/2 (c) 0.2 (d) -101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0, 21 in decreasing order.\nAnswer: 21, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 736 and 128?\nAnswer: 2944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 3) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 39. Let v = x + 17. Let t = 1 - 3. Sort t, -1, v in ascending order.\nAnswer: t, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (2 - (-6 - -2) - 28) - -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75491)\/1144 + 93\/(-8184).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23122015 is divided by 8009.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-462))\/((-36)\/(-126)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47, -94, -151, -224, -319?\n\"Answer: -u**3 + u**2 - 43*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 6372 = -2*h. Suppose 0 = -716*o + h*o + 152. Solve -2 = -4*j + 4*r - 6, -5*r = 2*j - o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38514 and 882?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 0*j**2 + j**2)*(-3 + 3 - 1)*(-6 - 7 + 6).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*z**2 - 2796*z**2 + 149*z**2.\nAnswer: -2280*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6440\/510 - 10) + -4 and -49\/221.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70 - (0 + -5)) + (21 - -45 - 83)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-45)\/10)\/(-9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(180) + sqrt(180) + 2)**2*-3 - sqrt(180)) + 0).\nAnswer: -6516 - 450*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 not equal to -5328974\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3 + 1 - 5*m - 2*m**3 + m**3 - 7*m**2. Let p be x(-6). Does 19 divide (-804)\/(-21) + p\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84124*u - 34360*u - 6 + 2 + 4.\nAnswer: 49764*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.98798734 + 1.988. Round h to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2785, 2902, 3099, 3376?\n\"Answer: 40*g**2 - 3*g + 2748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6709515444.\nAnswer: 2, 3, 20708381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16729633?\nAnswer: 19, 233, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 3:39 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -c + 98, 24*c - 26*c + 101 = 5*o. What is the remainder when 930 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -2)\/((-33)\/55).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12677310 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 11*l**2 + 12*l**2 + 0*l + 9*l as s*l**2 + m*l + a and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 - (532\/9)\/(-4). Suppose 2*y = -3*p + 61, -3*p + 99 = 3*y + d. Let s be 6\/(-15) - (-54)\/10. Solve -y = -f + 4*a, -s*f + 0*f + 4*a + 35 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (202\/(-660))\/(39\/(-195)) and -85\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 7 = g, 4*g + 38 = -4*y + 6. Let b(h) = -h + 2 + 11 - h**2 - 11. Determine b(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1854 and 288.\nAnswer: 29664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -65*r + 1. Let t(v) = -16*v**2. Give c(t(z)).\nAnswer: 1040*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 take away 22.76998?\nAnswer: -22.82998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.755304 decades in centuries?\nAnswer: 0.9755304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208165 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 76. Let f be 3\/18 - q\/9. What is the nearest to -1 in -1\/2, 5, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-6)*(-9)\/150*4.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 4*r - 30. Let i = -5 - r. Suppose 0 = h + 3*n - i, -2*n = -4*h - 5*n + 4. What is the remainder when 2 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*j - 6 = -m, -4*m = -3*j - 2. Let q = -677.87 + 674. Let g = q - 0.13. Which is the smallest value? (a) g (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2. Let v = -23 - -24. Let d(g) = 3*g**2 + v - 1 - 6*g**2. Determine o(d(p)).\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-2\/9)\/j)\/(j*j*j\/(j*j**(-16\/3))*j*j))\/(j**24*j\/(j**(-25)*j)))**(5\/12) assuming j is positive.\nAnswer: j**(-2635\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 0, -4*t + 1 = -2*y - 11. Suppose -s - 8 = t*c + c, -2 = s + 2*c. Sort 2, 0, s.\nAnswer: 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5105776?\nAnswer: 2, 13, 24547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h**(-7\/6))*h**(-3\/8))\/(h**10*h**(3\/7)) assuming h is positive.\nAnswer: h**(-1451\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -462 + 462. Suppose d = 3*m + v - 12, 0*m + 5*v = -m + 18. Solve 0 = 7*h - m*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*w - 11*w + 12*w)*(-w - w - w) in the form j*w**2 + l*w + o and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 2 (c) -7\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.64 rounded to the nearest integer?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**5\/50 - 5*v**4\/3 + 125*v**3\/3 + 50*v. Determine h so that l(h) = 0.\nAnswer: 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*c**2 - 5*c**2 + 4*c**2 + 30*c**3 wrt c?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, r: 1, p: 11}. Give prob of sequence ll.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 15 = 4*s, -5*s + 5 = -5*p. Let r be (1 + (-2)\/4)*3. Are p and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.6849 + 14031.\nAnswer: 14037.6849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69)\/56)\/(-3) - (-46)\/(-368)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 4*f + 2. Let x(j) = -12*j**2 + 7*j**2 - j + 5*j**2 + j**2. Let d(z) = 3*r(z) + 12*x(z). What is the derivative of d(w) wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 29697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 176\/5 <= 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 475237398 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 160 = r. Let v = -51 + r. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*t + 1 + 61*t + 11*t**3 to the form j + k*t**3 + c*t**2 + w*t and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3.108. Round o to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-13)\/p**(3\/20)*p**(-12)*p*p*p*p\/(p\/(p*p**(2\/5))) assuming p is positive.\nAnswer: p**(-83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by -6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 67*v**2 + 852*v - 37. Calculate n(-50).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2865*j + 5. Let o be x(-3). What is o rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 + 98*v**3 + 2*v**2 - 98*v.\nAnswer: -2*v*(v - 49)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -29 - -142537861645\nAnswer: 142537861616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n**2 - 1147*n - 760. Give w(105).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45879019 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1903 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-2665)\/2275*(24 - 1).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70512 - 32014. What are the prime factors of l?\nAnswer: 2, 19249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 249062 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -35, -3, 4 in descending order.\nAnswer: 4, -1, -3, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 234 - -514144?\nAnswer: 514422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j**2 - 8*j + 14. Let q(t) = 4*t**2 - 4*t + 7. Let f(n) = 7*q(n) - 3*v(n). Is f(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxxkrxznkxzxnxxnz. What is prob of sequence rxx?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 7*m + 20. Let t be ((-3)\/(-4))\/((-1)\/(-8)). What is the greatest common divisor of m and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810878998 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -33099 at least as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.85, 0.4, 2\/11 in decreasing order.\nAnswer: 1.85, 0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/((-7)\/42). Let g = -6 + m. Let i(z) = -2*z + 4. Calculate the smallest common multiple of 12 and i(g).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**6\/z*z*z\/z**(-3\/2) assuming z is positive.\nAnswer: z**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*x = -3, 2*g - 4*x - 6 = -x. Suppose -5*l - 4*c + 9 = 0, 0 = -3*l + g*c - 2*c + 19. What is the units digit of ((-24)\/15)\/((-1)\/l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 55 - 1 = 2*a + d - 6*d, d + 44 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynrkky. Give prob of sequence yn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -3*y**2 + 4*y + 54. Suppose -3*d = 3*d - 12. Suppose -2 = -d*x - 8. What is g(x)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-3))\/11*36\/28?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4653 divided by 6\nAnswer: 1551\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -3) + 2\/4*(-5390)\/(-441)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1480\/520 - (7 - 4) - 1917\/(-39). Is d <= 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*r + 177*r = 160*r - 4071 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -37.4. Which is the nearest to 1\/2? (a) 5 (b) z (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181839 or -181877?\nAnswer: -181877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6432 and 6901.\nAnswer: 44387232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 23*n - 1. Let y be m(-22). Suppose -5*c = 25, c = -4*j + 8*j - y. Solve t - 3*g = j*t - 18, 0 = 3*t - 5*g - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - t - 4. Let r(c) = 2*c**2 - 3. Calculate 4*h(m) - 5*r(m).\nAnswer: -6*m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 224.\nAnswer: -1\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000047681 to seven dps.\nAnswer: 0.0000477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23a7ab (base 16) to base 8.\nAnswer: -10723653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 - 125. List the prime factors of l - -201 - (2 + -1).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4.9, 43\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43687000 rounded to the nearest 1000000?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184713*q**2 - q + 1054106 wrt q.\nAnswer: 369426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 347589883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 298 - 124. Let b = q + 33. Factor -13 - 215*w + 25*w**b - 10*w**2 + 180*w + 30*w**3 + 5*w**5 - 2.\nAnswer: 5*(w - 1)*(w + 1)**3*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 327082769*n**4\/2 - 200806983*n**3 + 82188054*n**2 - 11212884*n.\nAnswer: n*(689*n - 282)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-447.49.\nAnswer: 223.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272537?\nAnswer: 272537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8734154 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13244 + -13244. Solve 10*w - 6 = -t + 5*w, v = -t + 2*w - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3*z + 2 = 0, 12 = 4*n + 5*z + 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17 + (-12558)\/(-735))\/(1\/7). What is the third smallest value in -5, 0.027, y, -1\/2?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 27. Let k = c + -12. Calculate the remainder when 34 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265\/(-1584) - (36 + 88587\/(-2448)).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10108 divided by -361.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 13) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f\/f**(-28))\/f)\/f*f\/((f*f*f**(-4\/9))\/f))\/(f*f**22*f*f**(1\/47)*f))**(-32) assuming f is positive.\nAnswer: f**(-46336\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 296 or 25\/48?\nAnswer: 25\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 327863449*h**4\/3 - 656813318*h**3\/3 + 330037189*h**2\/3 - 362740*h + 300.\nAnswer: (h - 1)**2*(18107*h - 30)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 880077741*x**3 - 342*x**2 - 729142 wrt x.\nAnswer: 5280466446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -230 (base 6) to base 13\nAnswer: -6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 4*s - 4*s + 2*s)*(0*s - s**2 + 0*s).\nAnswer: -3*s**4 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2314089037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62.4 - -63. Round t to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 29*n**2 + 19*n + 13. What is the tens digit of k(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25403270 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 2*(-2)\/(-4). Let o(d) = -d**3 + 4*d**2 + 5*d - 5. Let y(f) = -5*f**2 + f**3 + 2*f**2 - 126 + 2960*f + 130 - 2965*f. Determine h*y(n) + 3*o(n).\nAnswer: n**3 - 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2\/7 + 162080*u\/7 - 30770688 = 0.\nAnswer: -41808, 1288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/14 and 47\/182806.\nAnswer: 1279642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 962*p**2 - 37421441 + 37421441.\nAnswer: 962*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f - 3, -4*a = -4*f + 8. What is the remainder when 3 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 10703 = -5*p + 10653, 0 = 5*p - 4*y + 45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:35 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/(-198)*(-6)\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) -9 (b) 3 (c) 5 (d) 29 (e) -4 (f) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -17 + 25 - 9 - 8*v. What is z(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**6\/60 + l**5\/10 - l**4\/12 + 7*l**2. Let v be w(5). Let n = v + 154. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 0*s**3 + 3*s**2 + 0*s - 1\/120*s**4 - 1\/150*s**5 + 0 - 1\/600*s**6. Let o(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + sqrt(22)\/sqrt(2))**2 + (sqrt(11)*-1)**2*2.\nAnswer: -6*sqrt(11) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5)*6\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 106*u**2 - u - 2. Determine c(-1).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 50*q**2 - 38*q - 276. Calculate the remainder when v(51) is divided by 98.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q, 2*q = 4*k + q - 116. Calculate the highest common divisor of 116 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2965 take away -5517?\nAnswer: 5516.7035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1235 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 5*w = 10*k + 35, 0 = -3*k - 2*w + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by (8 - 6) + 4\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 3, n: 3, u: 5}. What is prob of sequence npju?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -378.955 + -0.045. Let z = 289.4 + f. Round z to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.31, -415, 0.132.\nAnswer: -415, 0.132, 0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 147595 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*j + j**3 - 407 + 407 + 3*j**2 + (5*j**2 - 2*j**2 + 0*j**2)*(1 + 2*j - 1) + j**3 - 3*j**3 + 0*j**3.\nAnswer: 5*j**3 + 3*j**2 - 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-w + 4*w - 5*w)*(10 - 9 - 11) - 2*w - 6*w + 5*w)*(6 + 17 + 20) to the form r*w + h and give r.\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*m. Let n(l) = 0*l**2 + l**2 - 23*l + 24*l + 31. Is n(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 times -169\nAnswer: 7436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.62 and -92.2?\nAnswer: 57.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -121002?\nAnswer: 121014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 20*w + 58. Determine s(13).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {g: 3, l: 1, d: 4, q: 2, k: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 4:20 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 1:20 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -9, -34, -73, -126?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 507210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 22 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 2. Let p(q) = -q - 7. Let x be p(-7). Let j be v(x). Let y = -2 - -3. Solve j*b + y + 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 695982*f - 696040*f = -696 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 = 2*c - 21, f + 2*c - 2 = 0. Let d be f\/3 + 0 + 1. Suppose 5*i = i + 16, 3*i = b + 4. Solve 0 = -z + 2*v - 1, -d*z - 4*v + b = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 61 - (-375 - -471)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7793000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*v - 6 - 15 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 2446.\nAnswer: 4892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517587035.\nAnswer: 5, 7, 379, 39019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2441 + 1365?\nAnswer: 3816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -477.396 and 103.54.\nAnswer: -373.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.754 + 0.014. Let b = 0.9 + n. Let o = b - -0.83. What is the third biggest value in 0.1, 0.3, o, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456783?\nAnswer: 31, 46993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 110*w + 735743000. What is w rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/67, -49.7, -3 in descending order.\nAnswer: 4\/67, -3, -49.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171\/7 or -1570?\nAnswer: -1570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9192 divided by -182?\nAnswer: -4596\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 56\/16*(-1276)\/406.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3388)*3*3)\/((sqrt(4) - (sqrt(4) - sqrt(16)\/sqrt(4)*1)) + sqrt(4) + sqrt(144)*2))**2.\nAnswer: 9801\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 times 209449?\nAnswer: -46078.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*v - 0*v. Let f = v - -6. Calculate the remainder when 35 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:58 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 47 times 0.04403\nAnswer: 2.06941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4))**(-24\/13)\/(((d*d**(-13))\/d)\/(d*d**(-3))) assuming d is positive.\nAnswer: d**(239\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - 15528\/20)\/(1\/(-5)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 6, a: 1, m: 4, g: 6}. What is prob of sequence gx?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**8\/6720 - z**7\/840 - z**6\/180 - z**5\/60 + 5*z**4\/4 - 11*z. Let c(s) be the third derivative of r(s). Determine c(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 8960*t**4 - 17918*t**3 + 8956*t**2 + 2*t = 0.\nAnswer: -1\/4480, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4731024?\nAnswer: 2, 3, 98563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21202 (base 3) to base 13\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743*x + 174598 = 2091*x + 69740 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**3 + 8*v**2 - 8. Let t(c) = c**3 + c**2 + c - 1. Let j(f) = -4*t(f) - z(f). Find y such that j(y) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**11\/(j*j**(-19)) assuming j is positive.\nAnswer: j**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 5, u: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 892756483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 130884122 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/21 + -3)*(-84)\/(-36)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -1 + -4 - 2*-1*sqrt(128))**2.\nAnswer: -240*sqrt(2) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 92\/160 + 3\/(-15). Suppose 1 - 5 = 4*a. Is k smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 11*q + 9. Suppose 4*d - 26 = -2*a, -d + 4*a + 4 = 2*a. Calculate the remainder when 154 is divided by o(d).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 1, y: 17}. Give prob of picking 2 y.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 9. Let c(p) = -3*p - 36. Let t(u) = -4*c(u) - 15*w(u). Let g be t(-12). What is the greatest common factor of 30 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22222101 (base 3) to base 7.\nAnswer: 25036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(54)\/sqrt(6))\/(sqrt(3) + sqrt(432)).\nAnswer: -3*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 less than -51425504.3249?\nAnswer: -51425485.3249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -74*w**3 - 32*w**2 + 42*w = 0.\nAnswer: -1, 0, 21\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f. Let d(s) = 3*s**2 - 2*s**2 + 0*s**2. Give d(v(k)).\nAnswer: 81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*y + 6 = 3*x, -5*y - 2*x - 13 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjwwjjwjjjjjwjjj. Give prob of picking 2 j.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*20\/(-1040)*1136\/(-3621)\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-6))\/(-11*(-3)\/6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 - 935304\/168. Let y = h - 3023. What is y rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 - 570120*z\/7 - 40629601800\/7.\nAnswer: -2*(z + 142530)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d**2 - 115*d**2 + 96*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*-4*(-8)\/((-8)\/1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180 - 168. Let a be (3 + 146)\/(2 + -1 + 0). Suppose 2*i - 67 = a. Calculate the greatest common divisor of i and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26509064269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2*m**3 + 7)*(-200 + 33*m + 200).\nAnswer: 66*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25 (b) 44 (c) -3 (d) 1383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1068.0032 - 0.0032. Let j = y - 1067.9999567. What is j rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.053 + 0.113. Let f = -31.94 - m. Let y = f - -31.999993. What is y rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 20, -192, -52 in ascending order.\nAnswer: -192, -52, -20, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -618*l. Let y(h) = -759*h + 7. Calculate y(n(v)).\nAnswer: 469062*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40881952 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-850)\/(-8 + -9) - 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46652788 and 23660.\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10001, -7252, -4503?\n\"Answer: 2749*m - 12750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -25, -24, 1, 14.2, -2?\nAnswer: 14.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 52487.57m?\nAnswer: 52.48757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2021 - -36.1671. Let v = 0.235 + r. Round v to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001967 to 6 dps.\nAnswer: -0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*o - 11. Let s(b) = -o - b**2 + 2*b + 2*b + 3 + b. Give s(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -32*t**2 + 0*t + 8 + t + 33*t**2. Determine g(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + l = -2, 3*x = 2*x - 3*l - 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o - 39*o - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -69*n - 16. What is the hundreds digit of a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 10*i**2 - 708*i - 143. Determine z(71).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6 = 2*b - 22, 4*b + 4*q = 32. Let v = -555 - -576. Calculate the remainder when v is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1246*f**3 - 4*f**2 + 3*f. Let i be k(1). What is the highest common divisor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 9*j**2 + 4*j + 7. Let k be t(7). Let n = k + -193. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 2*u**3 - 2*u**3)*(-u**2 + u**2 + 3*u**2 + u**2 + 0 + 0 + (2*u**2 - 3*u**2 - u**2)*(-2 - 2 + 3) + (-u + 1 - 1)*(-87*u - 53*u - 83*u)).\nAnswer: 229*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660583873 is divided by 9825.\nAnswer: 9823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*f + 10, 2 = -2*h + 3*f + 3. Let l = h - -3. Let k be 2\/(l\/(-22)*4). What is the greatest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 357\/5, 0.5, 3, -14\/19, -0.3, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1699 + 1817. What are the prime factors of q?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1280 by 77.\nAnswer: 1280\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4232 - 0.0232. Let x = -0.2 + -0.1. Which is the closest to 1\/2? (a) 4 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1474000 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + -31.7. Let s = 14 + w. Let i = s + 18.4. Which is the closest to 0.1? (a) i (b) -1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 - 1)*(0 + 0 - 1) + 0 - 4 + 3)*(-8*l + 8*l + 6*l**4)*(-35 - 21 - 21) to the form f*l**4 + h*l + y*l**2 + i + m*l**3 and give f.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 58046, 116968, 175890, 234812, 293734, 352656?\n\"Answer: 58922*u - 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (1 + (-6)\/9 + 20482\/(-1254))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1 (b) 0.066 (c) 1.11 (d) -6 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (758*k - 387*k - 22 - 380*k)*(k + 2*k - 5*k)*(-3 + 6 - 2).\nAnswer: 18*k**2 + 44*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2.4. Let b = -11 + 9. What is the third biggest value in y, b, 3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2582?\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 5 (c) 0.19 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 4*y**3 - 2*y**3)*(2*y**2 - y + y) + 2*y**5 - 4*y**5 - y**5 + (-2*y**4 + y**4 - 2*y**4)*(107 - 107 - 23*y).\nAnswer: 62*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(1\/12)*p**(-3\/7)*p*(p*p**(1\/11)*p)\/((p*(p\/((p\/(p\/(p*p**(-13)*p)*p))\/p))\/p)\/p) assuming p is positive.\nAnswer: p**(-8705\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53910 = 61*i - 134533 + 20266. Suppose 0 = -4*j + 5*k + 40, j = 2*j - 4*k - 21. Suppose -537 = -w + 4*h, -j*w + h + i = -h. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*((-503)\/(-1006))\/(2\/(-80))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (173 - 173 + 15*i)*(-4*i**3 - 2*i**2 + 2*i**2) as h*i + x*i**3 + c + n*i**2 + u*i**4 and give u.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-268)\/95274*(-54)\/(-30)?\nAnswer: -2\/395","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/11)*y**(-1\/2)*(y**(2\/5))**(3\/2) assuming y is positive.\nAnswer: y**(21\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*s**4\/11 - 268*s**3\/11 - 1368*s**2\/11 - 1268*s\/11 - 14 = 0. Calculate s.\nAnswer: -11, -7, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from ccicciiiiicicciciiic.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -829 + 1806. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-12) - -3)\/((-78)\/16)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3066748?\nAnswer: 2, 766687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 157 - 79 + 7*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 69 - 469. Let l(f) = -f**3 - 26*f**2 - 30*f - 15. What are the prime factors of l(i)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1533 divided by 219\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 + 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((120\/25)\/(-6))\/6\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 96031 and 0.\nAnswer: 96031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -24?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(700)*-1)**2 - (-5 + -1*sqrt(700))**2) + 4*(sqrt(567) - sqrt(567)*1)**2 + 2.\nAnswer: -100*sqrt(7) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -2312?\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2069.\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 351, 354, 357, 360, 363, 366?\n\"Answer: 3*w + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -1. Let u be b\/(-2)*6\/9. Let h(y) = -y**3 + 10*y**2 + 14*y - 7. Let a be h(u). What is the greatest common divisor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 8*d - 8 + 2*d**2 + 11*d - 3*d.\nAnswer: -2*d**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 298731 - 178634. Suppose -4*d + 3*x = -14, 2*x + 5 - 1 = 0. Suppose -d*r = -a + 97. Round r to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 359453.4 - 17.55788\nAnswer: 359435.84212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 240777 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 - ((-59)\/177)\/((-2)\/50). Which is the nearest to j? (a) -2\/15 (b) -5 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/84882 and 117\/648130.\nAnswer: 83608770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 - -111.4. Round f to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**9\/75600 + d**7\/4200 + d**6\/1800 + d**4 - 12*d. Let g(k) be the third derivative of c(k). Factor g(p).\nAnswer: -p*(p - 2)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8 - 2 - -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c + 8. Let g be i(-1). Solve 3*f = 2*f + 2*t + 9, 5*f + g*t = -25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**4 + 324961*c**3 - 160290*c.\nAnswer: 12*c**2 + 1949766*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuuuuuuuzuuuuzu. Give prob of picking 1 z and 1 u.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 11 = -4*f + 3*f, 0 = 5*b - 5*f - 15. Let y be (b\/(-9))\/((-4)\/(-6)). What is the biggest value in -1\/4, y, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 10 = l. Let x(s) = -2*s**3 + 3*s**3 - 3 + 0*s**3 - 3*s + 5*s**2. Is x(l) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7040 and 12410.\nAnswer: 8736640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1841024062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(4032) + sqrt(1008)*-4)**2.\nAnswer: 96*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(((-7)\/35)\/((-8)\/(-30))). Solve -3*p = -4*p - s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144 or 23\/8?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1703*u - 153 = -1720*u. Solve -25*r = -41 - u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i - 8*i**4 + 3*i**3 + 17 - 3*i**3 + 2 - 11 wrt i?\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**4\/5 + 7574*j**3\/5 + 818757*j**2\/5 - 10708376*j\/5 - 3143088 = 0?\nAnswer: -115, -4\/3, 13, 2628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17441 - 9091. List the prime factors of i.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -25, -21, -5.48?\nAnswer: -5.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4 - 4 - 539*m + 545*m. Let l(a) = 35*a. Calculate l(z(j)).\nAnswer: 210*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -87*a + 89*a. What is the least common multiple of 66 and a?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253442072?\nAnswer: 2, 13, 443, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.65808073 rounded to one dp?\nAnswer: 29.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 3. Let k = -1 + 5. Let c be r(k). Let a be c\/4 + 1\/(-4). Solve -3*g + 6*g + 6 = a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/w**(-14\/9)*w*w*w*w))\/w**(-2\/15))\/(w*(w*w**26)\/w*w)**(-1\/2))**(-5\/3) assuming w is positive.\nAnswer: w**(-341\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -3.1 (c) -1938 (d) -0.09 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*l + 64066*b**2*l**2 + 2914*b*l - 3*l**2 wrt b?\nAnswer: -6*b*l + 128132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - u**2. Let n(v) = 4*v**2 - 37053343*v + 37053343*v + 6*v**3 + 7. What is n(d) + 3*p(d)?\nAnswer: 3*d**3 + d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1166709989 to the nearest integer?\nAnswer: 34157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 2*i + 6822*i**2 + 2*i**3 - 6822*i**2 - 4*i.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/9 and -70\/471?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -56. Suppose -17 = a*w + 3, -2*w = 3*b - 52. Calculate the greatest common factor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-1)\/(-1))*(-3)\/3*(-79764)\/(-2346)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 0 + 5\/24*b**4 - 23\/3*b**3 + 18*b**2 + 2*b. Let y be k(9). Put 1, 2, y, -4 in decreasing order.\nAnswer: 2, 1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvvvcvvccvv. Give prob of picking 2 v and 1 c.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*f = -54*f + 255. Let i be (1\/(-3))\/((-7)\/(-84)) - f. Let s = -12 - -23. Solve 5*x = 4*r - s, -5*x - 3*r = -4*x - i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - u = -5, 0 = g - 2*u - 2*u - 25. What is the remainder when 18 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.35 + -1.35. Which is the nearest to 1? (a) -2 (b) j (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*y - 2*y + 2, 6 = 2*d + y. Let a(f) = -2*f + d*f + 5 - f. Give a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4316l to millilitres.\nAnswer: 431.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -24. Let d = 44 + -28. Let n = d + l. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4143 + -110311?\nAnswer: -114454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*h**2 - h**4 + 55*h**3 + 24*h**2 + 2*h - 5*h**2 - 2*h**2 + 313*h**3 to d*h**2 + v*h + f*h**3 + i + w*h**4 and give f.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-5)\/10)\/(9\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f**2 - 20*f + 21. Calculate g(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78 - -79) + (-3 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7358272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 671 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: What is next in 11183, 22361, 33531, 44693, 55847?\nAnswer: 66993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 22 = -4*p - 10*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7))**(5\/14)\/((d*d*d**(-1\/3)*d*d*d)\/d*d)**(14\/5) assuming d is positive.\nAnswer: d**(-9679\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110011 - 11?\nAnswer: 10101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (35\/(-10) - -2). Which is the closest to m? (a) -0.3 (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -27, -40, -51, -60, -67, -72?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6146\/5 equal to 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 422\/13 (b) -0.3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20646660 is divided by 2949507?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*k + 50*k + 150 = 0. Suppose p - 264 = -0*j - 5*j, 3*j = -3*p + 756. What is the remainder when p is divided by k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y + 17*y + 120 = 0. What is the first derivative of 58*v + 8*v**4 - 36 - 33*v - y*v wrt v?\nAnswer: 32*v**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3825 is divided by 38?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*i - 19*i + 29*i)*(33 + 25 - 10) to the form n + q*i and give q.\nAnswer: 1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*d = 9*d - 480 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -107, -2, 2, 7, 8 in increasing order.\nAnswer: -107, -11, -2, 2, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -2, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22115496 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1096)\/(-1644)*(95\/2 + -1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -o + 434 + 2891, z = 0. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 19056 - -1 - -10*24\/(-80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z = -10*z + 137 - 545 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*u = -6178, 11*q = 15*q + 3*u - 12400. List the prime factors of q.\nAnswer: 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1944 and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (0 - 6\/3). Suppose 3*u + v - 20 = 0, -3*u + i*u = 2*v - 10. Let s = 11 - u. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 2045*j**3 + 29685*j**2 + 51975*j - 478710.\nAnswer: 5*(j - 3)*(j + 9)**2*(j + 394)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o. Let n(q) = -2*q. Let h(l) = d(l) + 4*n(l). Suppose 0 = -c - 5*k + 5, -5*c + 2*k - k - 1 = 0. Let t(m) = m + c*m - 3*m - 6*m. Calculate t(h(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(320)*2 - (sqrt(320) - (2 + -1*sqrt(320)))) + 2)**2.\nAnswer: -896*sqrt(5) + 62736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59708049.\nAnswer: 3, 19902683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -2. Let h(f) = -c - 2*f + 1 - 1 + 3*f. Let v(p) = -2*p + 9. Give 13*h(k) + 6*v(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1262 + 1931. Let g = p + -303. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -623.7859 - 27\nAnswer: -650.7859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.625 - -0.625. Which is the closest to -2\/9? (a) -0.06 (b) 9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 - (-10)\/8. Let c be 2\/((1 - -1)\/2). Solve -3*d**3 - 4*d - 6*d**2 - d**4 + d**3 - i - c*d**3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4763*u - 4655*u + 9263 + 8781 - 3572 = 0 for u.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -20*r**3 - r**2 + 2*r - 1. Let s be z(1). Let b be (-4)\/s*5\/(-82). Let v = 85\/246 + b. Is v < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 8*k**2 - 4*k - 2. Let l be b(5). Suppose 105 = l*v - 48*v. Calculate the smallest common multiple of 27 and v.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -3 + -3 - 14) + -3 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 3*m - 10 = -28*c, 2*c - 2*m - 20 = 0. Solve 5*v - 2*l = -c, 6*v - l + 10 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*sqrt(1274))\/(sqrt(98)*-6) + 1).\nAnswer: -3*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15171, 55429, 122525, 216459, 337231?\n\"Answer: 13419*z**2 + z + 1751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -148102.1 and 0.4?\nAnswer: -59240.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 884234012 = -2*r, -4*g = -117*r + 113*r + 272071976. What is g rounded to the nearest one hundred thousand?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 393 + 22*m - 5*m**2 - 393 wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.22 + -29. Let u = t - 1.22. What is the nearest to u in 4, -2\/9, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 799d3d - -2?\nAnswer: 799d41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -472, -955, -1444, -1933, -2416, -2887, -3340, -3769?\nAnswer: -4168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 177?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6364243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9165 - -0.0835. Sort u, 13\/5, -5, -3 in ascending order.\nAnswer: -5, -3, u, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3*h = 4, s + 1 = 2*h - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*o - 72 + 22380 = 0. 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: Solve 1620*x - 1614*x + 3*g = 78, x + g - 13 = 0 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-27\/4))**44 assuming r is positive.\nAnswer: r**(-297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3 + 2, -72 = -f + 2*c. Suppose -f = -2*r - m, -2*m - 82 = -2*r - 5*m. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -8, -4*l = -6*v + 8*v - 24. Solve 0 = 3*d - v*s + 10, d = -4*s - 0 + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.47 + 2377.\nAnswer: 2376.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 517 = -9137. What are the prime factors of g?\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + -168d70?\nAnswer: -168d7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34277 - -2?\nAnswer: -34275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 246066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 greater than or equal to 160915981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1226*z**2 + 0 - 615*z**2 - 605*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 40 = 2*c. What is the highest common factor of c and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103670382*b*s*u**2 - 29949*b*s + 637*b + 3*s*u**2 + 3*s + 2*u**2 with respect to u.\nAnswer: 207340764*b*s*u + 6*s*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 0*i + 2 - 11 + 3*i - 6. Let s be w(6). Let l(n) = n + 2. Let o be l(0). Solve 0 = s*k - r - o*r - 24, -17 = -4*k + r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -64. Let w = k + 55. Suppose -1 = -b + 40. What is the remainder when b is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5832 divided by 36?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1 - 17*i + i**2 + 11*i + 14*i. Let p be t(-7). Let a(r) = 4*r**2 + 12*r - 7. What is the units digit of a(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 3*x**6\/2 - 59*x**4\/12 + 179*x**2. What is the second derivative of p(y) wrt y?\nAnswer: 1080*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 + 7*x**3 + x**2 - 27*x + 18 = 0. What is x?\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 2:56 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/((i*i**(-9))\/i)*i**0*((i**(1\/2)\/i)\/i)**(3\/16) assuming i is positive.\nAnswer: i**(343\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.5368521494 + 0?\nAnswer: -12.5368521494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 9*u**2 + 3*u - 7. Let n(w) = 28*w - 191. Let y be n(7). Suppose z + 6 = -5*c, -y*z + 4 = 4*c - 29. Calculate q(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 7*b**2 + b + 9. Let l = -1 + -6. Let i be h(l). Solve 6 - i = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 9:22 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.54, 1\/2, 32, -37.4 in descending order.\nAnswer: 32, 1\/2, -2\/5, -0.54, -37.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -2\/17*o + 4\/17*o**2 + 2\/17*o**4 - 2\/85*o**5 - 4\/17*o**3 + 2. Factor c(y).\nAnswer: -2*(y - 1)**4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4550\/(-21))\/(-13)*(18\/(-20))\/(3\/4)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 31.2. Let r = x + -0.2. Put -2\/17, r, 10 in descending order.\nAnswer: 10, r, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-28) - 1552\/(-7). Is (k\/(-9))\/((-2)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ce5 (base 15) to base 16.\nAnswer: b63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.604*0.09.\nAnswer: -1.13436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114.212l in millilitres?\nAnswer: 2114212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**3\/3 + 2115. Let i(y) = -43*y**2 + y. Determine g(i(w)).\nAnswer: -1849*w**4 + 86*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*5\/(-12))\/(-2*(-14)\/(-84)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 2892 + 658 = 0. Sort q, -3, -2 in increasing order.\nAnswer: q, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 44, 74, 126, 206, 320, 474, 674?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 4\/57 (c) -0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-337785)\/(-6) - 160\/(-64) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -5, 146?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -61*o**3 - 3*o**2 - 5*o - 11. Calculate t(-2).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1093294 * 4\nAnswer: -4373176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*c**2*q**2*v + 13*c**2*q*v + 2*c**2*v - c*q - 72*q**2*v + 1 wrt c.\nAnswer: -38*q**2*v + 26*q*v + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*w - 17 = 2*y, 0 = 4*y - 4*w + 28. Let r be (-1)\/4*(y + 4). Let s be -1*2*7\/77. Sort r, -5, s in descending order.\nAnswer: r, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 2*u - 126 = 0. Solve 4*h + 26 = 3*t, -3*h - 4*t = -0 + u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 224250 = 11*v - 213132. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 24. Let b be z(0). What is the highest common divisor of 48 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (18\/(-8) - 2). Which is the smallest value? (a) 0.2 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*n - n - 12, 0 = -2*s + 5*n + 20. Let y(c) = -c + 6. Let l be y(6). What is the closest to s in -0.2, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 3, k: 7, a: 5, h: 1}. What is prob of picking 1 k and 1 h?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 - 1 + 1 + (-4*a + 5*a + 0*a)*(a + 2*a - 5*a)*(0 - 3 + 4) as s + x*a**2 + r*a and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12*140\/(-50))\/((-3)\/(-10)). Let u = 556 + d. List the prime factors of u.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 11*a + 14 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 792.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 0. Which is the third biggest value? (a) -1 (b) 0.1 (c) y (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 18*b - 30. Let n be t(16). Suppose -n*u + 0*u - 5*y + 106 = 0, -27 = -u + 4*y. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2829, -13094, -30203, -54156, -84953, -122594, -167079?\n\"Answer: -3422*z**2 + z + 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(1 + -3 + -2). Calculate the smallest common multiple of (-12)\/(-10)*(-20)\/c and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5672 divided by -3.\nAnswer: -5672\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 - -18. Let c = -66 - y. Calculate the remainder when c is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3621, -1090, 1441?\n\"Answer: 2531*n - 6152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -21*a**3 + a**2 + a + 1. What is the least common multiple of g(-1) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - -42 - 9 - (-15 + 0)) + -1 + 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 - i**2 - 4*i**2 + i**2 + i**2 - 10*i**2 + (-5*i + 2*i + 2*i)*(-i + 3 - 3) + 4*i**2 + 0*i**2 - 2*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4267975.\nAnswer: 5, 79, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/(-45) + (-2)\/5. Which is greater: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3356 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: List the prime factors of 21498905.\nAnswer: 5, 23, 186947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -860 - 745 - 1094 + 4544 + 3*p.\nAnswer: 3*p + 1845","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -43\/111 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 2. Which is the biggest value? (a) 2\/7 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -10*u + 12*u - 282, p - 2*u = 126. Calculate the remainder when p is divided by 55.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136 - (-815 - -840 - (1 - -1))) + 14?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g - 1. Let f(j) = j + 1. Let q(i) = 5*f(i) + u(i). Let w be (-76)\/13 - (18\/39)\/3. What are the prime factors of q(w)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -17.99999954. Round f to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.5048 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -0.01684?\nAnswer: 0.10104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -236*m + 236*m + 200*m**2 as u*m + c*m**2 + w and give c.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1006\/5 + 3373\/15. Calculate the common denominator of 7\/4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 36 = -4*n, n - 7*o + 3*o = 18. Let r(q) = -5*q + n + 1 - 6 + q**2. Let d(g) = -g**3 - g**2 + 1. Let i be d(-2). Determine r(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 6*f - 9*f to the form x*f + w and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 198899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-5)\/420*0\/(-235)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 - 4*s**2 + s**5 + (-8*s**3 - 12*s**3 - 4*s**3)*(-3*s + 3*s - 2*s**2).\nAnswer: 49*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -11. Let v(t) = -2*t - 2. Let h = 0 + -2. Let r be 5 + 0\/3 + h. Let b(n) = -4*n - 4. What is q*v(f) + r*b(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, -4, 1\/5, 0.15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/192618 and -117\/83230?\nAnswer: 6741630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 31*m**2 + 70*m + 25. Is v(29) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udi when three letters picked without replacement from iaathuaduaid?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156 - 157. What is the nearest to j in 3\/7, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 269.18 - 251.68. Which is the closest to t? (a) 2\/5 (b) 1 (c) 0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -z + 14, 0*z = 4*z - s - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 117*h - 1531. Calculate z(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v + 134 + 64 + 1875*v**2 - 8*v - 9*v - 1877*v**2 to the form s*v**2 + f + d*v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 2814\/1365)*520\/26.\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 13, -2, 5, -1, -54.\nAnswer: -54, -2, -1, -0.4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 4*l - 4*l + (0 - 6 + 4)*(-3*l - l + 3*l) - l + 0*l + 0*l + 5*l - 5*l - l + (-1 + 3 + 0)*(-7*l + 2*l + 4*l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 - (-27)\/18. Let w(t) = -3*t**2 + b*t**2 + 3*t**2. Let g(v) = 2*v**2. What is g(w(n))?\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 22*c**3 - 22*c**2 + 24. Let l = -20070 + 20054. Let u(y) = 7*y**3 - 7*y**2 + 8. Give l*u(x) + 5*n(x).\nAnswer: -2*x**3 + 2*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*l**2 + 7*l**3 - 13*l**3 + 4*l**3 to v*l**2 + g*l**3 + o + y*l and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + 4*i**2 - 5*i**2)*(-1 + 1 + i**2) + 2*i**4 + 4*i**4 - 5*i**4 + 12394*i**4 - i**3 - 14*i**3 - 12545*i**4.\nAnswer: -148*i**4 - 15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 less than -31862687270112?\nAnswer: -31862687270112.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1278 divided by 71\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 27 times 4\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0*a - 29\/210*a**7 + 0*a**6 + 0*a**4 + 0 - 31\/6*a**3 + 0*a**5 - 21*a**2. Find the first derivative of y(i) wrt i.\nAnswer: -116*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(-5\/3)\/j))\/j*j)\/((j*j\/j**(-8))\/j))\/(j**2)**(-11\/7) assuming j is positive.\nAnswer: j**(-46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**5 + 80*x**4 - 425*x**3 + 750*x**2 = 0?\nAnswer: 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153))**2*-2 + 5*(sqrt(153) - sqrt(153)*1).\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100429\/3 or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5 + 609*j**4 + 4295*j**3 + 10455*j**2 + 10466*j + 3696 = 0. What is j?\nAnswer: -3, -2, -1, 616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:16 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*k**3 - 643*k**3 - 446*k**3 + 69*k**3.\nAnswer: -766*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -7*g**2\/2 + 68*g + 2003. What is t(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -439, -1537, -3367, -5929, -9223?\n\"Answer: -366*c**2 - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 17 = 2*g - 16, 2*g + 3*i + 23 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5582*m**2 + 2791*m + 19537. Let l(t) = t**2 + t + 7. Let c(v) = -11164*l(v) + 4*w(v). Let u(a) = -2*a**2. Calculate u(c(b)).\nAnswer: -249269792*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/10*2\/3. Let l(r) = -5*r**3 - 7*r - 13 + 10*r**2 - 2*r**3 + 2*r**3 + 10*r**3 - 6*r**3. Let n be l(9). Sort n, c, -1.\nAnswer: -1, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p**3 - 136*p + 1743 with respect to p.\nAnswer: -12*p**2 - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**5\/12 - z**4\/12 - 20*z**2. Let d be o(3). Round d to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -12 - 18 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132827483, -265654968, -398482453, -531309938?\nAnswer: -664137423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f = 761 - 951 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 3)\/(20\/8 + -3). Solve -g + 2*g - 4*v = -1, 2*g - 2*v = -l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4836871+294767\nAnswer: -4542104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -387\/2807 + -2\/401. Which is the second biggest value? (a) f (b) 0.9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15012\/5? (a) -20 (b) 0.205 (c) -3 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -18 - 18 + 34 - 60*o. What are the prime factors of f(-4)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -20. Let w = d + 2.6. What is w rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3586, -5497, -7396, -9277, -11134, -12961, -14752, -16501?\nAnswer: -18202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1022*g**2 + 1 - 519*g**2 - 230*g - 519*g**2 + 230*g.\nAnswer: -16*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -16*o - 25 + o**3 + 11*o**2 - 23*o + 32*o. Let k be x(-10). Calculate the remainder when (1 - -4)*667\/k is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**5 - 2*v**3 + 2*v**3)*(2 - 1 + 1) - 2*v**5 + 3*v**2 - 3*v**2 - 2*v**5 + 3*v**2 - 3*v**2 + (-1 - v**3 + 1)*(-2 + 2 - v**2).\nAnswer: -11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48457841, -96915686, -145373531, -193831376, -242289221, -290747066?\nAnswer: -339204911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90975 and 40?\nAnswer: 727800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**8\/896 - z**7\/168 + z**6\/960 + 3*z**5\/80 - z**4\/48 - z**3\/6 - 12*z**2 - 16*z. Determine g so that y(g) = 0.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, m: 2, h: 1}. What is prob of sequence dd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 31*k**2 + 66*k.\nAnswer: -k*(k - 2)*(k + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2. Let z(v) = -v. Let f(l) be the third derivative of l**4\/24 + 3*l**2. Let y(b) = 7*f(b) + 5*z(b). Determine y(i(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 82*m = 80*m + 17, -3*h - 5*m - 35 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 - 6*v**2 - 8*v + 11. What is the remainder when a(5) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39816 < 39817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.18 + 0.18. Let y = a + 2. What is the smallest value in y, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 53*y**3 + 7*y**2 - 4. Let r(c) = 18*c**3 + 2*c**2 - 1. Let t(m) = 2*h(m) - 7*r(m). Is t(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82815 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -11aa5?\nAnswer: -11aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/17)\/g)\/g)\/(g**(-5)*g) assuming g is positive.\nAnswer: g**(32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = s, 2*m - 4*s + 1 = -11. Suppose -p + m*p = 4*d - 29, 3 = -3*p. Suppose -d*l + 20 = -2*l. What is the least common multiple of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/23 and 4\/15.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*f - 722 = -195*f. Let j(o) be the first derivative of -f + 3\/5*o**5 - 14*o + 0*o**2 + 0*o**3 + 0*o**4. Differentiate j(k) wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-430)\/3612)\/(95\/(-228)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19005.1 + -20142. What is u rounded to the nearest ten?\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 4 + 8 - 3*o)*(-18 - 235 - 114) to i + d*o and give i.\nAnswer: -1468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46047523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 - 39 - (-102 - -35).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(0 + 0 - v) - 4*v + 3*v + 5*v - 18 + 18 - 251*v + 2 - 2 - 2*v.\nAnswer: -248*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551604*y**3 + 551613*y**3 - 1103215*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - sqrt(12))\/sqrt(4)*-3.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377)*2 + 3*sqrt(153) + 4.\nAnswer: 4 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 6*m = 60. Let x = 313\/4 - 77. Let o = 0 + 1. Which is the third biggest value? (a) x (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from prppppprpprppp.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -235 + 539. Let v = w - 143. What are the prime factors of v?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**3 + 12*l**2 + 8*l - 94. Let g(b) = -13*b**3 - 34*b**2 - 23*b + 279. Let d(k) = -2*g(k) - 7*q(k). Factor d(s).\nAnswer: -2*(s - 2)*(s + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjvvjvjvjjvjjj. What is prob of sequence jjjv?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Let h = l - 6. Sort 0.03, h, 4 in decreasing order.\nAnswer: 4, 0.03, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12201 + -12197. Solve 6 = -2*r + 3*o, t*o = -o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -143\/2. Which is smaller: 4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-264)\/9*(-2)\/(4\/6). Let m = 140 + l. What is the highest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7862\/15 (b) -2 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 1. Let l(c) = -4*c**2 - c - 3. Let p(k) = -l(k) - 5*m(k). Let t(v) = v - 1. Give -2*p(r) + 2*t(r).\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1. Let d(a) = -55*a**2 + a - 3. Give -d(s) + 5*o(s).\nAnswer: 55*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0 + 0*d**2 - 7\/12*d**4 + 4\/3*d**3 + 13*d. What is the second derivative of x(l) wrt l?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 13 = 3*x, 126*x - 11*a = 131*x - 27 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26270312?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 21874 = 70270. List the prime factors of p.\nAnswer: 2, 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 220190, 220180, 220164, 220142?\n\"Answer: -3*b**2 - b + 220194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -39. Suppose 3*k - p = 17. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1165, 4672, 10503, 18658, 29137, 41940, 57067?\nAnswer: 74518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 + 9 - (281 + 0). Is (5\/10)\/((-1)\/l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 8 - 75. Solve -s*z + 78*z + 20 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 z when four letters picked without replacement from zzrrzzkrrr?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -247 divided by -55227\nAnswer: 247\/55227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(3\/65)*(1560\/(-325))\/24.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 <= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 631355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2593118 is divided by 738?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9387004?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + v - 6. Let o be t(-5). Suppose -5*a + o = -3*a. Let g(i) = -i**2 + 8*i - 8. Let p be g(a). Sort p, -3, -5.\nAnswer: -5, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2608*b - 20866. Give u(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**3\/4 - 13240005*o**2\/2 - 52960005*o\/4 - 6620000 = 0.\nAnswer: -5296000, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5235 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/7)\/((-45)\/315)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.7 (b) 4.2 (c) 1\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) -3\/4 (c) -2\/7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 293 = -2*k. Suppose -2*i = -4*q - 228 - 50, 4*q - 5*i + k = 0. Let t = q + 166. What is the highest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558 = -4*t + 5*s - 208, 5*t + 949 = 2*s. Let v = -608 - -928. Let y = v + t. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/9 in -1\/4, 3, 6, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1225.30588 - 7.\nAnswer: 1218.30588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 2*p**2 - p - 3. Is x(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0662780963 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42852927 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 8:20 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 0*z = 4*z - 9, -5*f - z = -6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {g: 5, k: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54? (a) -24 (b) 2\/9 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-10) + 9816\/60 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4677872 times -0.4?\nAnswer: -1871148.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 350273551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302625 divided by 5?\nAnswer: -260525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1103*y = 1347*y + 1921*y - 112140 + 25540 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 141\/(-3760)*2*(-428)\/30 and 81\/220?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4343*y - 7179 = -z - 4338*y, -4*z + 28796 = -4*y. Which is bigger: 7205 or z?\nAnswer: 7205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p - 2*p - 2*p - 2*p + 4*p - p + (-1 + 2 - 2)*(32 - 32 + 8*p) - p - 4*p + 2*p to k + q*p and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.874 - 0.126. What is the second smallest value in -2, -5, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 190?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5051, -9423, -13795?\nAnswer: -18167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141*q**5 + 21*q**5 + 1108*q - 11*q**5 + 12*q**5 + 6*q**5 wrt q?\nAnswer: 3380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)\/j)**(-12\/5)\/(j\/j**(-7))**(3\/8) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 7. Let k(r) = -3*r + 14. Let v(m) = 4*k(m) + 9*q(m). Suppose -z - y - 3 = 0, 12 - 2 = -4*z - 5*y. Let h(b) = 2*b + 5. What is z*v(f) - 8*h(f)?\nAnswer: -f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13148)\/(-627) + -21)*-627.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -282088*n**4 - 2326547 wrt n.\nAnswer: -1128352*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6457 - -6465. Let b(r) be the third derivative of 0*r - 2\/2415*r**7 + 0*r**3 + 0*r**4 - 19*r**2 - 1\/3864*r**h - 1\/1380*r**6 + 0*r**5 + 0. Factor b(l).\nAnswer: -2*l**3*(l + 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 1057, 3858, 9485, 18922, 33153, 53162, 79933?\nAnswer: 114450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-1108))\/(1\/(-330)). Let r = 470847\/554 - h. Let x = r + -875. Find the common denominator of x and 91\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11999 - 23a00?\nAnswer: -35899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50474?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 3*h - 3*n - 4, -5 = -5*h - 5*n. Let k be (0 - 33\/12) + 2 + h. Find c such that -k*c - 1\/4*c**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 4. Let y = -1 + l. Let m be 52 + -2*(3 - y). What is the highest common factor of 36 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v. Let i(p) = -p + 14. Determine i(h(y)).\nAnswer: 5*y + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 - 16*t**2 - 4*t + 4*t. Let k(f) = 2*f. Determine q(k(v)).\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242 - 804. Let b = l - -562.02959. What is b rounded to 3 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 2862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**5 + 3224820*h**4 + 6449720*h**3 - 38697760*h**2 - 128993040*h - 103194560 = 0.\nAnswer: -2, 4, 644966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {i: 2, z: 1, g: 2, w: 1, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 11*n - 2*n)*(-3 - 2 + 4 + 0 + 1 - 4 + (-1 + 4 - 2)*(0 + 4 - 3)) to j*n + p and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 10*i**3 + 65. Let a(n) = n**3 + 6. What is 65*a(w) - 6*x(w)?\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 + -6 - -6 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 4)*(-2 - 2*k + 2) - 3382 + 237*k + 3382 to the form a*k + o and give a.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1241*i + 6371. Determine y(5).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 34*l - 945. Give p(-43).\nAnswer: -2407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75055057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(sqrt(65) + sqrt(65)*1))\/(sqrt(125)*1) - sqrt(65)\/(sqrt(5) + sqrt(605)*-1)*6*-4.\nAnswer: -4 - 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -z + 22, 3*l = 7*l + z - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*p = 114 - 119, -4*p - 41 = 15*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62.547 and -0.1.\nAnswer: 6.2547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104412.\nAnswer: 2, 3, 7, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 7370.8555634255?\nAnswer: -7367.8555634255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/12)\/((-2)\/8). Let w be (0 - n\/3)*-3. Suppose -2*d + 2 + 6 = 0. Solve p + d = w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1001603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/(-12)*(-6 - 70\/15). Let f be -3 - (u\/8 + -3). Let j(z) = z**3 - 3*z**2 - 5*z + 4. Determine j(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -219*x**6 - 5435*x**4 + 5298*x**2 + 3*x + 106 wrt x?\nAnswer: -26280*x**3 - 130440*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 + -48. What is the highest common factor of 81 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 394658.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -2*m + 12. Let q be ((-14)\/3)\/((-2)\/m). Is q >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -462, 2, 33\/4 in increasing order.\nAnswer: -462, 2, 33\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*v**3 + 1 - 24*v**3 - 136*v - v**2 + 76*v in the form x*v**2 + f*v + c*v**3 + b and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 + 4*n**2 + 5*n - 1. Suppose 0 = -5*r + 2 + 3. Let h(j) = j**3 + j**2 + j. Give r*a(c) - 4*h(c).\nAnswer: -2*c**3 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, w: 1, r: 1, i: 2, a: 1}. What is prob of sequence arl?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1439145628 and 3389.\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 890, 785, 498, -61, -982, -2355, -4270?\n\"Answer: -15*i**3 - i**2 + 3*i + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91130 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1456.4 and -5?\nAnswer: -7282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -138*w + 94*w + 42*w - 558. Let h(i) = -i**2. Calculate b(h(n)).\nAnswer: 2*n**2 - 558","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 30*h + 108. Let u be x(-4). Which is bigger: -17 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7))**20\/(((y\/(y*y*y**(-6)\/y))\/y*y)\/(y\/(y*y\/y**(4\/5)))))\/((y**(-3\/4))**(1\/13))**(-1\/3) assuming y is positive.\nAnswer: y**(-919\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*z = 1013, 16*n = 11*n - z + 5029. What are the prime factors of n?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 59\/16 (b) -2\/183 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6625 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 1 + 1 + 2. Let p be 2 + ((-3)\/(-3))\/(q\/(-8)). Suppose -1011 = -3*t - p*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 19, 51, 95, 151, 219?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-63) - 229\/(-7). Suppose g + 3*k - b = -g, -5*g + 5*k = -70. Calculate the common denominator of 35\/11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 93.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 30*g - 60. Let o be h(2). Is o at least as big as 7\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1202*c. Let a(z) = 2560*z**2. What is a(v(r))?\nAnswer: 3698698240*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3*r - 12, -3*r = x - 91 + 94 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 - -6) - (-3 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**8\/1008 + c**7\/63 - c**6\/12 + 15*c**4\/8 - 9*c**3 - 11*c**2 + 4. Find l, given that s(l) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - l**2 - 5*l**2 + 4*l**2 + 12*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:23 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1493*s + 2995. What is p(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -267.8733 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 245 and -9.\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (836\/33)\/((-2)\/(-837)). Let f = n + -6863. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -8, -3*l + 1 + 1 = 2*m. Suppose 22 = 5*i - 78. What is the remainder when -73*l*1\/2 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 + 206*y**2\/3 - 208*y\/3.\nAnswer: 2*y*(y - 1)*(y + 104)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -315.7134738 rounded to 0 decimal places?\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 18*j**2 - 26*j - 115. What is p(-17)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*w = 25, 5*t - 3*w - 4 - 61 = 0. What is the greatest common divisor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -9*i - 100. Let s = i - -32. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1096237440 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.4 - -0.6. Let t = 11.08 - 10.68. Which is the fourth smallest value? (a) -3 (b) -2 (c) m (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s**2 - 4*s - 4. Let r(m) = m**2 + m + 1. Suppose -218*q = -213*q - 105. Suppose 9*i = 11*i - 10, -l + 5*i - q = 0. Calculate l*r(v) + d(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57817 and 716.\nAnswer: 231268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2860 is divided by 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*o - 183*o - 275*o - 109*o - 98*o to the form z + d*o and give d.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 12:23 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 + 195. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 13 = 3*a. Let k be (a\/4)\/((-12)\/(-32)). Find the third derivative of h**2 + h**2 + h**3 - 3*h**3 - k*h**2 wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 20*m + 9. Give o(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - (1 + sqrt(720)*-4))**2 - 4*((0 + sqrt(720))**2 - sqrt(720)).\nAnswer: -72*sqrt(5) + 15121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 - 27*r**2\/4 - 15*r\/2 + 14.\nAnswer: (r - 28)*(r - 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + 67 + (0 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96601\/598 < 161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n + 5*v + 26 = 0, -3*n + 20 = -4*v. What is the derivative of -29*w**3 - 3 + 5 + 26*w**3 + n wrt w?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2223012224 + -5?\nAnswer: -2223012233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 2*d + 26*d**2 + 0*d**2 as a*d + m*d**2 + h and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 4*y**2 + 5*y + 1. Let o = 0 - 1. Let p(w) = 1. Let v(j) = o*s(j) - 4*p(j). Let q be v(-4). Calculate the highest common divisor of q and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63772404 or 63772405?\nAnswer: 63772405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 512253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 = -5. Suppose -7*k + 8 = -b*k. Let f be (-2 + 3)\/(k\/4). Solve f*p = 6*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 5844\nAnswer: -5\/5844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2.4 (b) -0.5 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-772.25\nAnswer: -54.0575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millisecond in microseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -4 - -1)\/(10\/(-35)). Solve -5*k + 72 = a*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 - -4.8. Which is the nearest to -1? (a) k (b) 1 (c) 169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 6376?\nAnswer: 70136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.155, 3776, -3\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/4)*w\/(w*w*w\/((w\/(w*(w\/w**9)\/w))\/w))*w*(w*w*w\/w**(-1\/3)*w*w*w)**(-9\/4) assuming w is positive.\nAnswer: w**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -21. Suppose -i - 3*i = -a. Let p(m) = -2*m - 2. Let r be p(-10). Solve 0 = -i*y + 3*k + r, -y + k = y - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.1. Let a = -19339\/5 - -3923. Let z = a + -56. What is the closest to g in z, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.9, 3\/2, 3\/4, -0.09, 249.\nAnswer: -0.09, 3\/4, 3\/2, 2.9, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89\/34 - 2\/17. Which is smaller: w or 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1048*i + 609 - 194 = 1043*i. Let j be (4 - 0) + (11 - 19). Put -5, i, -3, j in increasing order.\nAnswer: i, -5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2, -2\/7, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15089 - -3.1\nAnswer: -15085.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/5 - (2 + -11). Let z = 15 - 11. Suppose d = z*j + j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30553 and -219862860?\nAnswer: 219832307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 7*v - 16. What is the nearest to -1 in -2, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + -7 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -56. What is the remainder when 60 is divided by z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6*-3)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 2*a + 2. Let n(r) = -3*r**2 + 4*r + 3. Suppose -f - 30 = -4*f. Determine f*c(j) - 6*n(j).\nAnswer: -2*j**2 - 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -51. Let z = v - -16. Calculate the smallest common multiple of (-9 + 1)\/((-7)\/7) and z.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-63)\/(-105))\/(2\/190)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2406*j + 501*j + 382*j + 380*j + 385*j + 385*j + 376*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*b - 30, -5*b = -2*j - b + 22. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.080244 - -383.127244. Let x = 383 - i. Round x to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 7) in base 3?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*f - 62 - 10 = 198. Suppose 2*z = 2*d - 6*d + 22, -z = 3*d - 15. Suppose 0 = -d*v - 0*v + 12. Solve -4*t = 2*o - f, 3*o + 2*t + 4 - v = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -468 + 474. Sort 2\/11, 2\/9, 4, l in descending order.\nAnswer: l, 4, 2\/9, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 5*s**2 + 5*s - 4. Let f be d(-6). Suppose 8*m + 60 = f*m. Let w(v) = -v**3 - 9*v**2 + 10*v + 5. Is 2 a factor of w(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*w = 7*w - 108, -2*p + 2*w = -180. Let z be (p\/(-6) - -1)*2. Let a = -1 - z. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 6 = -3*g. Suppose g*q = 5*s + 25, s = 3*s + 10. Let a = 21707\/795 - 409\/15. Is a <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 1107 + 354 = -1355. What is the highest common divisor of n and 1672?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 i, and 2 h when four letters picked without replacement from {i: 1, h: 2, f: 4, e: 9}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 12:16 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3164846.66 to the nearest 1000.\nAnswer: -3165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.7. Suppose -5*g = -g. Suppose g = -4*z - 0 - 4. Which is the second biggest value? (a) j (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000566909 to 6 dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-15) + (-23 - 730\/(-150)*-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, 0 in ascending order.\nAnswer: 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -82871*s - 1823186. Give b(-22).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 (base 2) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 10:15 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6 + -5 + (1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 + -2.3. Which is the second smallest value? (a) -1\/2 (b) -0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -499 or -497?\nAnswer: -497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1447 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31681)\/(-1742455))\/((-2)\/(-13420))?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 + 64 + 27 + (0 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 19 = 8*s + 9 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24223*v + 68670*v + 51195*v.\nAnswer: 95642*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 483?\nAnswer: -1\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 - 54 = 2*l - 5*a, 3*l = -5*a + 229. Let k = l + -71. Let o = 12 + k. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1748104 - -4241896. Suppose -7*x - y = -27*x. Round x to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 9\/2, 3\/8?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 = 2, -797 = -4*c - 3*f. Is -4 + -1 - (-3 - (-13 + c)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8489 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.4. Let u = -12.6 + 13. Let s = 355 - 352. What is the nearest to 2 in w, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1979 - 988. Is 76 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h**2 + h. Let f be n(0). Let s(w) = -2*w - 5 + 0 + f. Let m be s(-5). Solve -4*l - m = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 92 - 325 = -105 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*6*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14334933337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -845*g**2 + 3*g**3 + 393*g**2 + 3*g**3 + 453*g**2.\nAnswer: 6*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 14*q + 2. Let a be k(14). What is the greatest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261\/580*10\/(-12)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34802, 35021, 35240, 35459?\n\"Answer: 219*y + 34583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10100000110001111110?\nAnswer: -10100000110001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, u: 2, a: 1, r: 1, d: 1}. Give prob of picking 1 a and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 4419)*294\/(-18). Suppose b - l = -j + 314830, 0 = 3*j + 2*b - 1161023. Let p be j\/3 - (3 - 0). What is p rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -328*o**3 + 10*o - 8*o + 132800*o**2 - 132804*o**2 to the form a + c*o**2 + d*o**3 + h*o and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 9*h + 252 = 0. Calculate the remainder when 64 is divided by (2\/(h\/27))\/((-1)\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 19, -3\/4, 10, -6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 10 = -4*r. Suppose -6 = 3*k, r*s - 11 = 4*s + 4*k. Which is the nearest to 0? (a) s (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.3 and 1448690.4.\nAnswer: 1448691.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 98 + (-7)\/((-14)\/4). Let p(s) = 2*s**2 - 28*s - 9. Let v be p(18). Let r = v + -110. What is the highest common divisor of f and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 6 = 72 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-26)\/n)\/(n**18\/n))\/(n**(1\/17))**(1\/16) assuming n is positive.\nAnswer: n**(-11697\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/384147 and 46\/129.\nAnswer: 16518321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -100*s - 885. What is l(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8976 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 + 10 + 24*c**2 - 48*c + 7 - 4*c**3 = 0. Calculate c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -5 (b) -2\/5 (c) 5\/4 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 209 - 109. Suppose -3*v + v + 2*y = -40, -5*v = -4*y - s. Let a = 45 - v. Solve -4*p - a = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 8*k. Calculate t(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1582 + 4595. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2509700 to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -222 - 3?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 1. Let p(g) = 294*g + 2351. Let b be p(-8). Let v(d) = 4*d**2 - 2*d - 1. Determine b*v(k) + c(k).\nAnswer: -4*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 348328564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002100 (base 3) to base 14.\nAnswer: -408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaa when three letters picked without replacement from {g: 4, a: 5, i: 1, n: 1, x: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 16 = -3*r, -5*r + r = 16. Suppose -5*d = -1 - 4. Calculate the remainder when w is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129327 is divided by 765.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 7. What is the remainder when 140 is divided by x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - p**2 + 5 + (-2*p**2 - 5*p**2 + 4*p**2)*(3 + 2 + 6) in the form d + v*p**2 + a*p and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2852810, -5705622, -8558434, -11411246, -14264058, -17116870?\nAnswer: -19969682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 79\/7, -11, -1\/6?\nAnswer: 79\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -12) + 5 + -13.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110535 * 0.001\nAnswer: -110.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 2 - (-4)\/12. Which is the biggest value? (a) -10 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from lbbcb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 2*w**2 - 14*w. Let y be p(-5). Let f = -5 - -2. Sort y, 5, f in decreasing order.\nAnswer: 5, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:17 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*sqrt(612) - -1*(1 + sqrt(612) + sqrt(612)).\nAnswer: -24*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 712145637.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5 - 3304*l**3 - 2785*l**2 wrt l?\nAnswer: -120*l**2 - 19824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3000\/(-360))\/(2\/(-1))*(-24)\/(-40). Factor -25\/2 - 1\/8*o**2 - s*o.\nAnswer: -(o + 10)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4516323 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -54. Suppose -9340*q + 9356*q = 0. Which is the second biggest value? (a) 1 (b) q (c) m (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 6*l**2 + 3. Suppose 2*f + 30 = 4*x, 15 = 3*x + 2*f - f. Let w be k(x). Suppose -c = -1 - w. What is the least common multiple of 2 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*i - 432729 + 122460 - 1598331. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2757485 is divided by 393924?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 3:37 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) + 39\/9. Let n be (-2)\/y + 108\/20. Suppose -5*p + 3*p + 8 = -u, -3*u = 2*p + 8. What is the highest common factor of n and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2 = -229247*f + 229245*f, -2*g + 6 = -3*f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127179 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/524433375 and -53\/5.\nAnswer: 524433375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tixj when four letters picked without replacement from {j: 1, x: 4, d: 1, t: 4, i: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*s = 5*q - 310*s + 65, 0 = 5*q + 3*s + 70 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*b = -96*b + 6798 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*k*q + 2*c*q**3 + 3*c - 11*k*q**3 + 101*k*q**2 - 35*k - 92*q**3 - 7*q - 7 wrt k?\nAnswer: c*q - 11*q**3 + 101*q**2 - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 717*k**2*u**3 + 4*k**2*u**2 + 5*k**2*u + 116*k*u**6 - 936*k*u**2 - 3*k*u - 4*k wrt u?\nAnswer: 4302*k**2 + 13920*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 15 = l. Determine u so that l - u**2 + 5\/3*u**3 - 2\/3*u = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*k - 48 = -86*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 16*w**3\/3 - w**2 - w + 4. Let p be i(-1). Let o = p - 6. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 383029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 28. Let q be (j + 5\/(-1))*(-210)\/280. Solve 0 = -2*o - 0*o + 6, q*o = 2*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 1. Let x be k(1). Let s(f) = f - 6. Let p(o) be the first derivative of -o**2 + 13*o - 16. Let a(z) = -2*p(z) - 5*s(z). What is a(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + -3 + ((sqrt(171)*-1 - sqrt(171)) + sqrt(171))\/sqrt(9).\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -r - 3*r, 4*r + a = -4. Let q(p) = -p**2 - 19. Let k be q(r). Let l = -9 - k. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -5, 5, -0.21, 0.0089?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/201, -1\/4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 7*s**2 + 57*s - 306. Give j(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -p - 7, 5*j + 83*p + 28 = 79*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1 - v - 1. Suppose 3*q = 7 - 19. Calculate m(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.68 - -0.58. Which is the nearest to w? (a) -4 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 14*t - 15. Let n be h(15). Suppose n = -4*d - d + 10. Suppose -2*w - 5 + 13 = -5*j, -4*w = -16. Solve 0 = d*y - j*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 11*a - 399*a**2 - 19 - 8*a + 25*a.\nAnswer: -399*a**2 + 2*a - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-120)*((-165)\/(-162))\/11?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (30 - (43 + -8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwfusggfgwfgwwfswg. Give prob of picking 2 s.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 466 - 192. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 8:39 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 18948300 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p**2 - 108*p + 69. Let n be a(21). Let o(v) = v - 1. Let b(d) = -10*d + 8. Let j be 3\/2*2\/3. Let m(f) = j*b(f) + n*o(f). Calculate m(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -307.8 - -307.798368. What is x rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 110858, 110860, 110862?\n\"Answer: 2*r + 110856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11970009 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 707 + 2*x - 1410 + 703.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**5\/7 - 15*s**4 - 2504*s**3\/7 + 9152*s**2 + 475776*s + 5055232 = 0.\nAnswer: -52, -28, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2*3\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -699?\nAnswer: -6a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 6*f = -16, 5 = -4*i + f + 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000753742388 rounded to seven dps?\nAnswer: -0.0007537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*(16 - 6597\/414)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m - 32 = -43*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:11 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-11 + 3 + -1) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -44*v**3 - 4*v**2 - 12*v - 8. Let u(x) = -45*x**3 - 5*x**2 - 14*x - 9. Give 7*h(k) - 6*u(k).\nAnswer: -38*k**3 + 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -7. Let g be ((-2)\/3)\/((-6)\/(-45)). Which is the second smallest value? (a) z (b) 7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68, -86, -92, -80, -44, 22?\n\"Answer: b**3 - 25*b - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 988 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: Suppose -2*y + 30 = 2*q, 65*y - 15 = 64*y - 5*q. Calculate the remainder when 370 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3334757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12656 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.74 - -0.26. What is the second smallest value in -2, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2174209*o**3 - 2100973*o**2 wrt o?\nAnswer: 13045254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 194\/(-4) + 5\/10. Let y = m - -52. Let n(o) = -o**3 + 3*o**2 + 5*o - 4. What is n(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - 6 - (59 - 38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -58252, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -477*u**2 - 34*u - 34. What is b(-1)?\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 2*k - 1 + 6*k - 242*k**2 - 4*k to s*k + y + c*k**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*o + 186 = -74, 3*p - 369 = -3*o. Let z = 182 - p. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243885018?\nAnswer: 2, 37, 16809257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjwjwj. Give prob of sequence jw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 2*h. Let j be p(-2). Let z be 2 - (3 + 2) - j. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0*v**2 + 0 - 2\/3*v**3 - 4*v. Let j(t) = t**2. What is q(j(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 8:23 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/54*(-15)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 5*x**2 + 5*x + 1. What is the units digit of d(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000053428 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5*h + 71 = 0, -703*a + 701*a - 64 = 4*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 5:01 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 + 44\/6. Let b(i) = -2*i**2 + 3*i - 2. Let h(l) = -3*l**2 + 4*l - 2. Let u(y) = z*b(y) - 6*h(y). What is the remainder when u(3) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 1. Let d(m) = -5*m - 12. Let q(z) = d(z) - 6*p(z). Let o be q(0). Let l be (o\/(-12))\/(2\/4). Solve b - 3*a = -4, -2*b = 2*b + l*a - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/1991 and -10\/92764853?\nAnswer: 1020413383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - 35. Let n = x - -57. Calculate the remainder when 16 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*x - 9 = 0, 0*x = 3*y + 3*x. Let a = y + 7. Let k = 1 - a. Sort 3\/2, k, 0.3.\nAnswer: k, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157.4 + -158.4. What is the nearest to 5 in w, 0.02, -3\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162244334 divided by 238946?\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2228d6b - 3?\nAnswer: -2228d6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 220\/35 + 2\/(-7). Calculate the greatest common divisor of 24 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2128 and 448?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1 (b) 54882 (c) -18 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 2392 = -98*c for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362832438.\nAnswer: 2, 3, 7159, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7884865.\nAnswer: 5, 1576973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5817625*r**4 + 18977583*r**2.\nAnswer: -139623000*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - (-816)\/(-216)) + (-60)\/27)\/(-1 + 4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Let t be (10\/(-6))\/(v\/(-6)). Suppose 78 = 3*s + t*l, -l - 4*l = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, l: 6, j: 4, u: 4}. Give prob of sequence jjj.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 38. Suppose -5*o - 66 = -z, -l*z + 3*o = -4*z - 118. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 130, 414, 966, 1876?\nAnswer: 3234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 2*g + 0*g + 8*g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*c + 39 = -0*c, -4*w - 4*c + 12 = 0. What is the highest common factor of w and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*i + 19, 0 = w - 4*i - 2 + 5. Let o(x) = 25 - 57 + 22 + 8*x + 0*x**2 + 5*x**2. Is o(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + 38*i**2 + 68*i - 568. What is s(20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.214061 to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c + 4*c - 289 + 0*c + 298. Let i(l) = l + 4. Give -4*f(q) + 9*i(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*x + 40. Solve 3*j - x*j - 3*y = 10, 5*y = -3*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110100101000111011 - 1010001?\nAnswer: -100110100101010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 636 and 683594.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 12 - 10 = -2*z, -4*n - 4 = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhighiigigihgig?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 756\/(-182) + (12 - 24)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 91, 88, 85, 82?\n\"Answer: -3*v + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*y = -31*y + 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 take away -6.688?\nAnswer: 8.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6137, 6129, 6121?\n\"Answer: -8*c + 6145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535096 is divided by 2066.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 1 = -5*l, 222*g - 4*l + 42 = 217*g + 124 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b**4 + b**2 - 9*b + 93*b**3 + 14*b**2 - 60*b**5 - 9*b + 6 - 15*b = 0. Calculate b.\nAnswer: -1, 1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**7\/1400 - z**6\/300 - z**5\/200 + z**4\/20 + z**3\/3 - z. Let o(l) be the second derivative of k(l). Factor o(i).\nAnswer: 3*(i - 2)*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12021011 (base 3) to base 5\nAnswer: 110323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -66, -85, -88, -69, -22, 59?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 179509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o + 2. Suppose -20*k + 7*k = 26. Give c(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, c: 2, x: 4}. Give prob of picking 2 c and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -558.462?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v**2 + 3*v - 3. Suppose 23*k - 20*k = -3. Let z be 1\/4 - ((-15)\/(-12) - k). What is the tens digit of x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 532 and 238868.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0418437g?\nAnswer: 41.8437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -11*c - 70. Let h be r(-37). Suppose 54 + 116 = 5*v. Suppose o = h + v. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 9816.\nAnswer: 78528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 2:00 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*sqrt(55)*-5)\/(sqrt(45) - sqrt(45)*-2) + (3*sqrt(88))\/sqrt(8) + 3*sqrt(396)).\nAnswer: -194*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 660 by -11.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 341\/815 + -3\/163. Find r such that -n + 8\/5*r - 8\/5*r**3 + 2\/5*r**2 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*w - 4*h, -3*h - 13*h = -48 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 1322 = -1297 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3*a + a)*(0*a**2 - a**4 + 0*a**2 + (-3*a + 0*a + a)*(0*a**2 + 0*a**2 - a**3)).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 7*x. Let w be (-3 + 6)\/(x + 1). Is 5\/(-30)*w*-1742 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 11*m**3 + 297*m**2 + 46*m - 12597. Give b(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53 + 16ddbcb?\nAnswer: 16ddc40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/10 + (-1112)\/5. Let i = q - -442. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(28)\/sqrt(4)*-6 + sqrt(7) + sqrt(112) + -1 + sqrt(112) + -5)**2.\nAnswer: -60*sqrt(7) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 14}. What is prob of picking 3 u?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6 + g + 18 + 6. Is 9 a factor of c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*p + 14*p + 19*p + p + 4*p + 2*p + (3 - 5 + 0)*(-2 - p + 2).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + 1 + -21 + 0 + 47 + -25.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/102068 and 89\/5916.\nAnswer: 8879916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131405 is divided by 471?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 2. Let t be k(-4). Let n = 510079 - 510077. Solve -t*l = n*l - 17*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004425038056 to four dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 21. Suppose -4*z - 5*j - 4 = k, 2*z + 2*z + 4 = 4*j. Is -1 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -4 - (5 + 1)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 2\/10700425?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624594488.\nAnswer: 2, 7, 1301, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24527 times 8.6?\nAnswer: -210932.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/(-36)*186*9\/(-189)*(-12)\/10.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 0, 5, -863, 0.4, -0.1, 57 in descending order.\nAnswer: 57, 5, 0.4, 1\/7, 0, -0.1, -863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142760 and 7180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 47256.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**3 - 5*y**2 + 6*y + 8. Let o(n) = 11*n**3 + 15*n**2 - 19*n - 24. Let a(d) = 8*h(d) + 3*o(d). What is the units digit of a(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 62*y**3 - 44*y**3 - 63*y**3 to the form t*y**2 + g*y + j + q*y**3 and give q.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 324*y - 16581. Give a(52).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72810156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.01159+2587.341\nAnswer: 2587.32941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -10, -6, -2, 2?\n\"Answer: 4*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 123616372444.\nAnswer: -123616372438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787826 is divided by 142?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 46) + 55 + -10 + -3 + 28?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 0.1 (c) 6 (d) -3 (e) -0.54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, -618, -965, -1312?\nAnswer: -1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25729 plus -67310.583?\nAnswer: -93039.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**26*k)*k\/((k\/(k\/k**(-1)))\/k) assuming k is positive.\nAnswer: k**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7911.9 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -38 (b) -1.6 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 a factor of 212358424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -16\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19538 by 1021.\nAnswer: 19538\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -1\/8*h**4 + 0*h + 0*h**3 + 0 + 13*h**2. Let n(s) = 4*s - 2*s - 3*s. Determine a(n(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784721 is divided by 37363.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pply when four letters picked without replacement from {p: 5, l: 2, g: 1, v: 1, m: 1, y: 10}?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3. Let f(o) = 5*o**3 + 10*o**2 + 6*o - 33. Let d(a) = f(a) + 4*r(a). Is 18 a factor of d(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e0 - -126?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.3. Let v = 984 + -982. Sort t, v, -4\/3 in ascending order.\nAnswer: -4\/3, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.9857 millimeters in kilometers?\nAnswer: 0.0000999857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.5 (b) 3 (c) 226 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 > 4640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001122 (base 4) in base 2?\nAnswer: -1000001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141 (base 12) to base 4.\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/5)\/(((t**(1\/2)\/t)\/t)\/t))\/(t**(-1\/3)\/(t**2*t)) assuming t is positive.\nAnswer: t**(193\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*24\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.8 (b) 3 (c) 2247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 - 3*m**2 - 361*m + 2185. What is the remainder when y(6) is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 9*p**2 - 8*p + 3. Suppose a - 9 + 1 = 0. Let u be t(a). Factor -y**2 + 4*y + 4*y**2 - 8*y + 3*y**2 + y**4 - 4*y**u + 1.\nAnswer: (y - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7872.0761 rounded to the nearest 10?\nAnswer: -7870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17280)\/(-1760) + (-1 - 9).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 50 = -8*j. Suppose 0 = 4*y + y - j. Does 6 divide 1*y + (-2 - -16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j + 6. Suppose -l + b + 10 = 0, -4*l + 5*l - 2*b - 14 = 0. Let m(x) = -15*x - 13. Calculate l*m(p) + 13*t(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -1 - (1 + -3). Let v(c) = c**2 + c - 1. Let r(g) = -7*g**2 + 2. Let m(k) = r(k) + 2*v(k). Determine m(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = z, 3*y - y + 5*z - 37 = 0. Suppose y*c - 840 = -4*c. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - -230?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 2*h**2 - h + 3. Let w be n(3). Let b(o) = o**3 + 9*o**2 - 2*o + 11. What is the remainder when b(w) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u**4 + 2*u**3 - 5*u**2 + 5*u + 15. Let q(s) = -s**4 + s**2 - s. Let t(l) = -5*q(l) - v(l). What is the derivative of t(k) wrt k?\nAnswer: -12*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(780\/(-247))*((-20)\/12)\/((-2)\/6)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -338, -660, -1008, -1388, -1806, -2268, -2780?\nAnswer: -3348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-6)\/v)\/v**27)\/(v\/(v\/v**10))**(-1))**39 assuming v is positive.\nAnswer: v**(-936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r = 47*r - 51 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2143 - -2155. Let m(q) = -q**2 - 6*q + 8. What is the least common multiple of v and m(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6*p = 0. What is the first derivative of -2*l - 5*l + p*l - 6 wrt l?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 46\/212077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 143220 divided by 6510?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 2*h**3\/3 + 354. Let d(g) be the first derivative of -g**2 + 6. Calculate n(d(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-22)*k*k)\/((k\/(k\/k**(-10\/13)))\/k))**(-37) assuming k is positive.\nAnswer: k**(8769\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2609260 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19554 + -19553.6. Which is the smallest value? (a) 2 (b) -212 (c) h (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -359, -3, -4, -8116.\nAnswer: -8116, -359, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269041 is divided by 282?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**2 + 6*w + 10. Let n be v(-7). Suppose -4*a + f + 298 = 3*f, n = 5*a + 5*f. Let u = -17 - -28. Calculate the greatest common factor of u and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26381.5m to nanometers.\nAnswer: 26381500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5320 = -4*t, -14*t - 4*s + 3990 = -11*t. Suppose -2*v = -53*d + 55*d - t, 2*d - v = 1330. Calculate the greatest common divisor of d and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 10 + 105)*(3*i - 2*i + 0*i).\nAnswer: 138*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + m + 4*m)*(90*m**3 + 286*m**3 + 4*m**3)*(-15 - 8*m + 15).\nAnswer: 3040*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 310, -5, -2\/101?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -403163, -807296, -1211419, -1615526, -2019611?\nAnswer: -2423668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*y**5 - 3084*y**4 - 16940*y**3 - 22980*y**2 - 6656*y + 2304 = 0. Calculate y.\nAnswer: -9, -8, -1, 8\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46448 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10383328 take away -2?\nAnswer: -10383326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a06 + -7?\nAnswer: 19aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**2 + 590*b**2 - 544*b**2 + 2 - 13*b**2.\nAnswer: 13*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + -1 + (-1 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyss when four letters picked without replacement from {y: 5, s: 14}.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = w + w + 2*a, 15 = -3*w + 3*a. Suppose -u + k = 1, u - 9 = -w*k - k. Put -11, u, -2 in decreasing order.\nAnswer: u, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 710483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 873 and 1261.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, 0.5, 0.1, 3\/8 in decreasing order.\nAnswer: 0.5, 3\/8, 0.1, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Suppose 5*s - 8 = -0*u + u, -7 = 3*u + r*s. Calculate the remainder when (2 + -5)*23\/u is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 910*j**3 - 2184*j**2. Let v(z) = z**3 - 2*z**2. Determine g(t) - 1092*v(t).\nAnswer: -182*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwwpwppssppwwswwps. What is prob of sequence pswp?\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -420 + -3?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p - 2. Let t be s(-1). What is the units digit of (-6)\/15*(t + -67)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = h + 8. Let b be ((0 - h) + 62)*3. What is the highest common factor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1638 divided by 42.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20\/33 + 3\/11. Let u = 160 - 1119\/7. Which is the smallest value? (a) u (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l = 53*l - 280522. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201000001220 (base 3) to base 14.\nAnswer: 9a444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 - i**5 + i**4 + (-2*i**3 + 3*i**3 - 4*i**3)*(-19*i**2 + 138*i**2 + 14*i**2).\nAnswer: -400*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2165870, -7, 1 in descending order.\nAnswer: 2165870, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 965 and 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 5) to base 10.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18 - 25*c**3 - 4*c - 63*c**2 - 61*c**2 + 124*c**2 wrt c.\nAnswer: -150*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/18, 0.5, -2\/33, -1480?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*s + 434330 = 147*s. Calculate the highest common factor of 130 and s.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from gfllllfululfgllullll?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 771, 5, 9.\nAnswer: 5, 9, 771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.022 - -0.278. Let g = m + 0.05. Let b = 0.3499968 - g. Round b to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 12 = 2*i. Suppose 4*a + 5*g = -3, -g - 4*g - 15 = 0. Suppose a*j - i = 9. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 1. Let v = z + 3.5. What is the nearest to 2 in 2, -2\/7, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*x + 6*x + 25*x - 8*x**2 + 4*x.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34986786 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -320 (base 11) to base 7\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {v: 1, y: 2, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1740 = p - 5*f, 3*p - 8*p + 8870 = 9*f. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 8) + 16 + -5 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 127\/7, -4, -0.4, 14, 0.07, 2\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 575*b**3 - 2*b**2 + 189*b**3.\nAnswer: -386*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 + 11*d**2 - 5*d + 4. Let s be b(5). Suppose 0*w = -2*w + m + 91, s*w = 3*m + 185. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17281\/42799 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29449909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*l - 15. Let k be 5*(-7)\/(35\/(-3)). List the prime factors of (k - l) + -1 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(19) - ((sqrt(19) - (sqrt(19) + 0 + sqrt(19))) + -2))*6.\nAnswer: -12*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.97 + -23. Let i = -1.6 + 2. Let j = i - 0.4. Put l, -0.5, j in descending order.\nAnswer: j, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a06 - 83a?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 400 + 392. Solve 3*u - 7 = -s*i, -u + 5*i = -5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3880 is divided by 435.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3264 = -119*d - 724 + 435 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/21135694 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64450 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 77. Let w be (75\/p)\/(-4 - -3). Solve 5*n = 4*k + 20, w = -3*k + n - 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1958 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 627640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1857*g - 44153. What is r(-24)?\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*b**2 + 24*b**3 - 57*b**2.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-6*(-2)\/4. Suppose 0 = -a*z - z + 88. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 953\/187980 - -5\/964. Is v <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2837.\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((22 + -7)\/(-3))\/(0 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143356?\nAnswer: 2, 35839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-14 + (2 - 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 9*m - 5. Suppose 21 = 3*t - q - 5, 0 = -t + q + 12. Let z(j) = 2*j**2 + 19*j - 11. Determine t*g(r) - 3*z(r).\nAnswer: r**2 + 6*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1283 and 96056927.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*i**2 + 10*i - i + 0*i to r*i + p + f*i**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 1. Let t be h(-1). Suppose -5*j + 2*v = 570 + 490, j - 4*v + 212 = t. Is (7\/14)\/((-2)\/j) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -102*k**2 - 5*k + 34*k**2 + 30*k**2 + 36*k**2 + 139. Let z(s) = -s**2 - 2. Let w(m) = d(m) - 3*z(m). Differentiate w(i) with respect to i.\nAnswer: 2*i - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1594*y - 1560*y + 16461 = -1203*y - 5000 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*q**4\/5 + 3618*q**3 - 51827*q**2\/5 - 245252*q\/5 - 38988 = 0 for q.\nAnswer: -27, -38\/27, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -78988.3533 to zero decimal places.\nAnswer: -78988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -848?\nAnswer: -848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4))**2*1 - ((sqrt(272) - (1 + sqrt(272)))**2 + sqrt(272)).\nAnswer: -4*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 14*b**2\/3 - 110*b\/9 + 68\/9 = 0.\nAnswer: 1, 34\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from zzzgzczgc?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 75*p**2 - 8*p + 605. Let v be w(75). Solve 176 = -v*y + 161 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q - 4 - q**3 - 8*q to a*q + u + r*q**3 + m*q**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 9\/49?\nAnswer: 9\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 = -11. Suppose k*q + 0*r = 2*r + 498, -4*q + 664 = -4*r. Suppose i - x = q, 810 = i + 4*i - x. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - o - 2*o + 17 = 0, 14 = -4*m + 2*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*k + k. Let t be 15\/(-25) - 36\/k. Suppose -2*g = t*g - 140. Calculate the remainder when g is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 66 = -5*n. Let s = 7 - n. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14175 and 151956?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:53 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2090 - -2064. Let b(v) = -v - 23. Determine b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -13684908*d**2. Let n(j) = j. What is n(b(s))?\nAnswer: -13684908*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 116681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/9)\/((((-26649)\/94)\/(-81))\/(189\/6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 524*f**3*r**2 - 15292*f**3*r - 47726411*f**2*r**2 wrt f?\nAnswer: 3144*r**2 - 91752*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m - 490 + 490 - 10*m**2 to i*m**2 + a*m + o and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 79. Let n be x(15). Let y be n\/(-210) - 16\/168. Sort y, 1.98, 4 in decreasing order.\nAnswer: 4, 1.98, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 3*l + 6. Let q = -346 + 356. Suppose -15*d - q = -10*d. Determine j(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-1 - 26\/(-8)). Let k = 286 + -284. Which is the closest to -2\/5? (a) k (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31217 is divided by 256?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10317935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 7*b**2. Let p be s(7). Suppose p = -11*h + 7108 - 343. Is h a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71190.04 days in hours?\nAnswer: 1708560.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 151868011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 5*b + 3. Let n be a(3). What is the highest common divisor of n and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hooox. What is prob of sequence oh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*b + 21, 0 = -x + 5*b + 934 - 931. Suppose -5*o = -5 - 35. Solve -x*l = -o*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a + 3*j - 321 = -205, -2*a + 4*j + 22 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7)**26*u**(3\/5)*u*u\/u**(8\/7)*u assuming u is positive.\nAnswer: u**(6456\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 0 - 2\/1) + 49. Let a(k) = 12*k**2 + 38 - w*k**2 - 38. Let h(p) = 2*p**2. Give h(a(z)).\nAnswer: 3042*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2168, 3570, 5000, 6452, 7920, 9398?\n\"Answer: -o**3 + 20*o**2 + 1349*o + 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 3\/12*0. Let h = -8 - g. Let m = 4 - h. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*d**2 + 41*d**2 - 24*d**2)*(-d - 3*d + 6*d) + (-4 + 2*d + 4)*(0 + 0 + d**2) to b*d**3 + h*d + a*d**2 + f and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3605, -2\/3, -2\/11, 13, 0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 391788.8 millennia in decades?\nAnswer: 39178880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o - 6*o - 25 - 8*o)*(3 - 2*o - 3).\nAnswer: 4*o**2 + 50*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 300*f - 299*f + 3*i, -4*f + 2*i = 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37034 divided by -1453?\nAnswer: -37034\/1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2. Let y = 16 + -12. Let w(b) be the second derivative of 0*b**2 + 0*b**3 - 1\/4*b**y - 2*b + 0. Calculate w(x(o)).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -3\/2 (c) -0.36 (d) -27 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 841*d**2 - 8. Let v(z) = 280*z**2 - 3. Let r(i) = 8*v(i) - 3*y(i). Let s(j) = 2*j**2. What is s(r(w))?\nAnswer: 160178*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 0.01 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -59*g**3\/6 - 3*g**2\/2 + 13*g. Let o be t(-1). Let h = 103 - o. What is the remainder when h is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*b - 134 - 165 = 33. Suppose d + 0*d + a = 3, -2*d - 4*a + 14 = 0. Sort 5, 7, b, d in descending order.\nAnswer: 7, 5, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4173, -8353, -12535, -16719, -20905?\nAnswer: -25093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 1. Let x(m) = -4*m - 3. Let q(z) = 7*s(z) + 4*x(z). Let l = -268 - -280. Let n(v) = -3 - l - 5*v + 1. Determine 6*n(h) - 17*q(h).\nAnswer: 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 37*w - 632. Let r be h(17). Let z(k) = k**2 - 8*k - 21. Let y be z(11). Put 0, r, y, -4 in decreasing order.\nAnswer: y, 0, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 z, and 1 t when three letters picked without replacement from {z: 2, p: 13, l: 2, t: 1, b: 2}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*x = -38*x - 26 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6\/(-20)*68\/102).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525337.2 centuries to years.\nAnswer: 52533720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2410*c**3 + 1123*c**3 + 835*c**3.\nAnswer: -452*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -41*s - 137 - 112 + s**3 - s**2 + 133 + 8*s**2 - 153. Let f be x(-8). Sort 2, 5, f, -3 in descending order.\nAnswer: 5, 2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q - 8. Let w be q*(5 - (-1 + 1)). Calculate the common denominator of 33\/8 and (-4)\/2 - 114\/w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 437 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/((15\/940)\/((-60)\/(-32))). Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*q + 159 + 1817 = 0. Let n(d) = d**3 - 9*d**2 + 9*d - 23. What is n(q)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4797 and 678288.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -691 - -322. Let t = -369.2 - j. Which is the second smallest value? (a) t (b) 3\/5 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1454524*d**3*i - 15*d**3 + 18*d**2*i**3 - d**2 - 1453*d + 88 with respect to i.\nAnswer: -1454524*d**3 + 54*d**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-6)*(-48)\/9. Let f = r - 0. Calculate the remainder when 38 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + 8.04. Which is the second smallest value? (a) i (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96648 or 97357?\nAnswer: 96648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105225 + -685?\nAnswer: -106021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 936\/(-117)*(-1)\/(4\/(-3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055125?\nAnswer: 5, 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from momlmlymlmylymmolmmm?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43773, 43776, 43781, 43788?\n\"Answer: b**2 + 43772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49441 and 1293?\nAnswer: 63927213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/7? (a) -3 (b) 2 (c) -0.2 (d) -17 (e) 0.061 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3\/5*j**5 + 0*j + 12\/5*j**2 + 3\/5*j**3 + 0 - 12\/5*j**4 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*t - 1006 + 1027 = 0, 0 = 2*i + t - 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1894661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -28*t + 680. Let i(b) = b**2 + 71*b + 864. Let w be i(-56). Calculate a(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 522 - 520. Let l be 6\/15 + (-228)\/(-5). What is the tens digit of v + -4 + 2 + l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 4. Suppose 27 = 22*t + 90 + 47. Let z(s) = -s - 5. Determine t*z(x) - 6*f(x).\nAnswer: -7*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 112*l**2 - 97240*l + 6679200.\nAnswer: 2*(l - 110)**2*(l + 276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, l: 2, r: 1}. Give prob of sequence rllg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944110613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 40\/548989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 12:02 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 greater than or equal to 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*c + 8 + 3*c + 0)*(-16*c + 83*c + 63*c) as a + m*c**2 + z*c and give m.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2081 + 1989 = 0. Let f = m - -1307. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -557, -3523, -8465, -15383?\n\"Answer: -988*b**2 - 2*b + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 971097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1122446 and 129\/14950.\nAnswer: 28061150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/4 of a day?\nAnswer: 9720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 - (-24)\/(-18). Let i = 3 - 2. Which is the closest to 0? (a) y (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49533102*n**3 - 505756693 wrt n?\nAnswer: -148599306*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 - 12*z - 7. Determine v(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**7\/30 + 2*a**6\/15 + 11*a**5\/60 + a**4\/12 - 3*a**2 + 3. Let d(u) be the second derivative of o(u). Solve d(j) = 0 for j.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13333\/4 - 3351. Let r = 58\/27 + -2227\/270. What is the common denominator of r and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29110364 and 42780?\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.1, 0.17273 in descending order.\nAnswer: 0.17273, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 280265.\nAnswer: 4\/280265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 2*k - 447. Let o(h) = h + 1. What is o(d) - t(d)?\nAnswer: -d**2 - d + 448","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/12)\/(2\/(-3)). Let x be 5\/1*(-1)\/h. Solve -s + 8 = -5*q + 7*q, -4*s + q + x = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 8*k - 3. Let d(w) = 7*w - 6. Let i(y) = 5*y - 4. Let z(s) = 2*d(s) - 3*i(s). What is z(b(r))?\nAnswer: -8*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) 0.5 (c) 0.6 (d) 8 (e) 5 (f) -63\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1022.9103732 to zero dps.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.017 in -2, 2, 4, 2\/7, 0.7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (18 - (13 + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1189 + 10703\/9. Which is the fourth smallest value? (a) 3 (b) 2 (c) j (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7073536 and 17683840.\nAnswer: 35367680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*f - 91*f = 70*f + 5304 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, -12\/29, 0, -4, -0.3 in decreasing order.\nAnswer: 0.2, 0, -0.3, -12\/29, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 56.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**5*v)**(-24\/5)\/(v*v*v**(-2\/11)*v*v*v)**(-3))**(-20) assuming v is positive.\nAnswer: v**(-6348\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 20 = 4*o. What are the prime factors of 2*-78*(7 - (o - -6))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + a - 16 = 0, -2*q - 4*a = -1 - 13. Solve 6*n - 9 = -q*x + 10*n, n + 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1562*y - 99*y - 52022 - 2109 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48592517*s**4 + s - 81804103 wrt s.\nAnswer: -583110204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/41)*w**14 assuming w is positive.\nAnswer: w**(576\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 3*(sqrt(99) - (sqrt(99) + -1)) + -1)*3)**2.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 169891.00161583 + -169891. Round h to 5 decimal places.\nAnswer: 0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8755345721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 - 58. Calculate the highest common divisor of 60 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5\/8 - 927*t**4\/8 + 1377*t**3\/4 = 0. Calculate t.\nAnswer: 0, 3, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from rpprrrrrr.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) 0.03 (c) -1\/8 (d) -20\/27 (e) 4\/3 (f) 30\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -76, -0.3, 4, -2228.6?\nAnswer: -2228.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*b**2 + 69196 - 69196 - 13*b**2.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {p: 5, y: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 1076*r**2 + 143633*r + 291579. Let b(h) = -h - 3. Let z(n) = 14*b(n) - 2*v(n). Factor z(x).\nAnswer: -4*(x - 270)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34.41 - -82.91. Round h to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)*-2*3 + sqrt(49))\/(sqrt(56)\/(sqrt(128) - sqrt(8))) + (sqrt(77)\/(3*sqrt(11)) - (6*sqrt(28))**2) + -1.\nAnswer: -1009 - 44*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.17 + 7.17. Which is the closest to 0? (a) -0.5 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/54*-6)\/((-2)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 2961.\nAnswer: 26649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1490 * 978\nAnswer: -1457220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v**(-1\/3)\/v))\/v)\/v*(v\/v**(-13))\/v assuming v is positive.\nAnswer: v**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 8:23 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 648 and 324?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 298*d - 5*d - 8*d**2 - 293*d + 865*d**3 in the form u*d**3 + y*d + a*d**2 + s and give u.\nAnswer: 865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-one halves of a millennium?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -66. Suppose 0 = -0*a - f*a + 25. Suppose -2*h + 17 = y, 4*y - y = -a*h + 45. Solve -6 = -h*u + 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1567*x**2 - 2892*x**2 + 1329*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**3\/6 + m**2 + 17*m. Let q be k(-2). Let d be (9\/12)\/((-1)\/(-4)). Solve -3*g + d + 16 = z, q = 5*z - 2*g - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4424 = 618*l - 19678 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, m: 1, a: 1, r: 1, b: 1}. What is prob of sequence rjb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4*u + 2*d**4 - 68398*d**3*u - 2*d**3 + d**2*u - 220*d - 10*u wrt d?\nAnswer: 48*d*u + 48*d - 410388*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*(sqrt(1216) + -4 + -1 + sqrt(1216) + 1 + -5)**2*-6 + -4.\nAnswer: -27648*sqrt(19) + 474716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(0*q**3 + 2*q**3 - 4*q**3) + (7*q**2 + 6*q**2 - 19*q**2)*(-367 + 367 - 32*q).\nAnswer: 196*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 3*u**2 - 3*u + 4. Let k be n(-4). Let q be 165\/9 - (-1)\/(-3). Let y = q - 15. Put -4, y, k in descending order.\nAnswer: y, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -23. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -20 + 25*o + 22 - 21 + 14*o**2. Is q(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 - -243. Suppose 4*i + a = 680. Let w(m) = m**3 + 6*m**2 + 2*m - 3. Let x be w(-5). What is the highest common divisor of i and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3489 - -5?\nAnswer: 3493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10424284491\/577069658 + -3\/3085934. Let t = h + 236\/17. What is the common denominator of 6\/71 and t?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4591218 divided by 6.\nAnswer: -765203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c - 5*c - 3*c + (2 - 3 + 2)*(c + 3*c - 5*c))*(0*c + 5*c - 3*c) as h*c**2 + t*c + w and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.6 + -17.6. Let r = -0.02 - -0.82. Let z = -1 + r. Sort c, z, 0.2.\nAnswer: z, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*sqrt(85)*-2)\/(sqrt(320)*-2 + sqrt(320)).\nAnswer: -sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127 - -118. Let q = d + 9.1. Sort 0.4, q, -1\/4 in decreasing order.\nAnswer: 0.4, q, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*n + 4, 3*n = q - 8 + 2. Suppose 5*r + o - 174 = q, 3*r - 4*o - 86 = -0*r. What is the remainder when (r\/(-17))\/(4\/(-90)) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Suppose 5*c + h*d + 0*d = -14, 0 = 4*c - 5*d + 31. Let t be (-217)\/(-4) - 3\/c. What is the highest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 9. Let i be l(5). Let v be i\/(-4) - 1*-1. Suppose 0 = -5*y - v*y + 30. What is the highest common divisor of y and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17252\/(-1362)*12\/(-38). Suppose 0 - r**3 - 1\/10*r**z + 0*r - 5\/2*r**2 = 0. What is r?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682 equal to 1679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41087*y**2 - 678 + 20801*y**2 + 21517*y**2 wrt y?\nAnswer: 2462*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*a - 0*a + 12, 2*v = 2*a. Let j(x) = 7*x - 6. Calculate the smallest common multiple of v and j(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -536565+-0.562\nAnswer: -536565.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -9*o**5\/10 - 7*o**4\/3 - 11*o**3\/6 + 11*o**2\/2 - 8*o + 14. Is j(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3478*d**5 + 63736*d**4\/5 + 301272*d**3\/5 - 203744*d**2 - 368512*d\/5 - 16896\/5 = 0. What is d?\nAnswer: -4, -66\/235, -2\/37, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 18*t**2 - 15*t**3 + 86 + 20*t**2 - 140 - 4*t**3. Find the second derivative of r(m) wrt m.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4*1))\/(2\/(54\/(108\/(-4)))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 172260.2 grams?\nAnswer: 172260200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 205*q + 150*q**2 + 7918*q + 92673 - 623*q + 32327 + q**3.\nAnswer: (q + 50)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = 0. Let a be 4\/10*(-15)\/8. What is the third smallest value in -1, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 687957 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28, 148, 340, 598, 916, 1288, 1708, 2170?\n\"Answer: -t**3 + 42*t**2 + t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-12))\/(((-18)\/8)\/(-9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1133\/6 + 189. Let h = -0.07 - 0.23. Let z = -0.8 - h. Sort 3, t, z.\nAnswer: z, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3 + 7884*j**2 + j - 7884 = 0. What is j?\nAnswer: -1, 1, 7884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7355 divided by -5\nAnswer: -1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and 20.\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atatttat. Give prob of picking 2 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 5) in base 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071758827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -103593011?\nAnswer: -103593006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3 - 1377*f**2 - 1434510*f = 0. What is f?\nAnswer: -693, 0, 2070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -1450075.\nAnswer: -8\/1450075","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811 - (6\/(-4))\/((-12)\/32).\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 4*m**2 + 33. Let j be l(0). Suppose -j*c + 26*c = 0. Factor 0 - 1\/4*f**2 + c*f.\nAnswer: -f**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1925279 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/i**(1\/4))\/i*i*i**(31\/5))\/(i\/(i*i**(-3\/26))*i*i*i*i\/(i\/(i\/(i*i**(2\/23))))*i))**(4\/15) assuming i is positive.\nAnswer: i**(7817\/7475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/28240043?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 548352 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 4*w - 1188 = 0. Let m = 1240 + w. Suppose -8*x = -m - 87. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/112 and 208\/(-1768) - 1742\/5712.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/(-3))\/((-10)\/9270) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 499 = -m - 475, -5*m - s = 4*m - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*k**6 - k**4 - 238*k**2?\nAnswer: -7920*k**3 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 12*a + 42. Let v(t) = t + 1. Give -f(y) + 15*v(y).\nAnswer: 3*y - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**4 + 1485*d**3 - 98709*d**2 + 167422*d + 48048 = 0. What is d?\nAnswer: -429, -1\/4, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0054255305 to five decimal places.\nAnswer: 0.00543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 4:53 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/47508 and -137\/112638?\nAnswer: 891867684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(24)\/(1*sqrt(8)) + (sqrt(3) - sqrt(27)\/(2*sqrt(9))))**2.\nAnswer: -9*sqrt(3) + 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -713041773 less than -0.196?\nAnswer: 713041772.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 0 - k**2 - 3 + 5*k**2 + k. Let w = 373 + -376. List the prime factors of z(w).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 403 = -85. What is the closest to 1 in -1, o, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -6. Suppose -4 - 48 = -v*k. Suppose 0*a = 4*a - 2*h + 4, 4*h - 8 = -k*a. Solve a = -4*m - 0*m + 4*r, 0 = -3*m + 2*r - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**2 + 0*w + 0*w)*(3*w**2 - 3*w**2 - 2*w**2) - 5*w**2 - 54*w**4 + 66*w**4 + 3*w**2 as u*w**4 + f*w + d*w**3 + b + y*w**2 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g. Let y(v) = -169882*v**2. Give y(i(d)).\nAnswer: -169882*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = a. Let f = a - 2. Suppose 111 = -f*l + 3*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 + 10*u**2 - 16*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*b + 6*b + 3*b**3)*(-5 + 0 - 11) as c*b + h + i*b**3 + o*b**2 and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 6. Let h(f) be the first derivative of f**5\/120 - f**4\/24 - 5*f**3\/3 - 13. Let r(t) be the third derivative of h(t). Give r(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 0.3. Let q = 3.1 + -1.7. Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/12 + 11)*9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 249104*x - 7756600352.\nAnswer: -2*(x + 62276)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160986 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*g = -13, 0 = -3*y - 2*y - 2*g + 16. Let q(x) = x + 5. Let r be q(6). Suppose 4*z + 2 + r = -3*u, -4*z - 1 = -u. Sort z, y, -2 in increasing order.\nAnswer: -2, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 6*n - 55 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34425 and 4631820.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - 264618*o**2 + 35010813720*o + 140047488800.\nAnswer: (o - 264620)**2*(o + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 2. Let g be r(-3). Solve -2*c - 25 = 3*c - u, -g*c - 25 = -5*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*r + 761*r - 1860 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 2*s - 2. Let o be f(-2). Let m(n) = -4*n - 3. Let g(p) = 8*p + 4. Let x(i) = 3*g(i) + 5*m(i). Determine x(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 6*n + 3*n)*(1 + 0 + 1)*(8 - 23 - 25) - 3*n + 0*n + n.\nAnswer: 78*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(8 - 12)*(-4 + 12 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 d, and 1 z when three letters picked without replacement from {q: 7, l: 1, k: 2, d: 3, t: 1, z: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/28 and -113\/624.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:00 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -754 (base 9) to base 14\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 16*u + 18. Let p be x(-1). Suppose -16 + 4 = -4*y. Suppose -p*f = -75 + y. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1944 + -1.0066. What is m rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -p + 4*p + 15770, -3*p = 3*h - 9486. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160157 at most as big as 159413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 3, 0.043798, -3, -7 in ascending order.\nAnswer: -7, -3, -1\/5, 0.043798, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**3\/3 + 74945*z**2\/3 - 280800175*z\/3 - 280875125\/3 = 0?\nAnswer: -1, 7495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 4*a**2 + 4*a - 6. Let v be z(-5). Let n be (-1 - (-6 + v)) + -4. Let p be (1 + (-12)\/8)\/(n\/(-24)). Solve -2*q - 4 = p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 5:29 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b. Let c(d) = 2*d**2 + d. Let z(y) = -y**2 - y. Let a(k) = c(k) + z(k). Calculate j(a(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -1435, -4929, -11787, -23143, -40131?\nAnswer: -63885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 135. Let n(c) = -3*c + 189. Let r(x) = 7*b(x) - 5*n(x). Let z = -5 - -6. Let g(q) = 1. Suppose 3*p + 1 - 7 = 0. Give p*g(d) + z*r(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190*270\/20 - -13.\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7664.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 121 and -0.3?\nAnswer: -36.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1\/3, 4\/5, 4\/9, -7 in ascending order.\nAnswer: -13, -7, -1\/3, 4\/9, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2)*i)\/(i*i**(-1\/5)))**(-22) assuming i is positive.\nAnswer: i**(-352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 12*s + 4560 = 0. What is s rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 2*x - 290. Round x to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*s**2 + 3*s**2 - 9*s**2 + (5*s - 5*s + s + 0*s + 5*s - 3*s + (3 + 2*s - 3)*(1 + 0 + 1) - 5*s + 4*s + 3*s)*(-3 + 3 - s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 3, k: 1, a: 2, i: 3}. Give prob of sequence bam.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/7 - 61136*d**2 + 8131810*d\/7 = 0. What is d?\nAnswer: -213995, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.857352 millilitres?\nAnswer: 0.004857352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.444073 millilitres?\nAnswer: 0.000444073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*k**2 + 613*k**2 - 24*k - 8*k + 37*k - 45*k.\nAnswer: 907*k**2 - 40*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 + 6 + 13*x**3 - 5 - 13*x**3 - 25*x**3. Let k be q(-3). Suppose 4*h = 8*h - k. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:32 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-5*2\/(-5)). Let q be h - -1 - 12\/7. Sort -1\/2, q, 0.11 in decreasing order.\nAnswer: q, 0.11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/15876 and 113\/145824.\nAnswer: 3937248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sswseeesssmwmsewss. Give prob of picking 1 w and 1 m.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1\/(-1 + 4 - 10432992\/3477696)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 19600826?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9024 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*r - 3*s, 3*s = 2*r - 5*r + 12. Let x = -2955 + 5084. Suppose r*m - 5427 = x. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -628*m**3 - 7*m**2 - 20.\nAnswer: -3768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - n. Let g(a) = 4*a**2 - 2*a - 3. Let h(m) = 3*f(m) + g(m). Let c be h(4). Do -10 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 0*v - 2 + 0*v**5 + 0*v**4 + 1\/3*v**3 + 0*v**2 + 1\/2*v**6. Find the third derivative of n(a) wrt a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1122120 + 142?\nAnswer: -1121534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z + 17. Let k(g) = -14*g**2. What is u(k(r))?\nAnswer: -42*r**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -120900 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3 - 186*p**2 - 12*p + 744 = 0. Calculate p.\nAnswer: -2, 2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 1:23 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44388512 and 2744.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - a + 17, -2*a + 0 + 10 = 2*g. Let j be 10\/20 + g\/(-2). Let i = 2 + -5. Do i and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 25 - 19)*((2*u**3 - 5*u + 5*u)*(-2*u - 2*u + 2*u) + u**4 + 4*u**4 - 6*u**4).\nAnswer: -145*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**6\/160 + b**5\/40 + b**4\/32 - b**3\/4 - 3*b**2. Suppose g(j) = 0. What is j?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*z - 3, -2355 = -8*w - z. Calculate the greatest common factor of 1386 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (208\/234)\/(-8)*27\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -5*l + 296. Let i = 5604 - 5556. Solve -l*t + 3 = -i*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*i + 122*i - 14 = -10*d, 0 = -i - d - 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*y - 16*y + 3*y)*(-3*y + 3*y + y) + y**2 - 5*y + 5*y)*(-69*y - 38*y**2 + 69*y).\nAnswer: 304*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 2*t**3\/3 - 3*t**2 + 18*t. Let m(j) = 2*j**3 - 96*j**2 - 2*j + 99. Let b be m(48). Give l(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 114?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(sqrt(88) - 4*(sqrt(88) + 1*sqrt(88) - sqrt(88))))\/(4*((sqrt(8) + sqrt(24)\/sqrt(3) - sqrt(8))*2 - sqrt(8))).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 620095792\/1859 + -333564. Let o = 2\/169 + w. Put o, -0.3, -2 in descending order.\nAnswer: o, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 7652220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -184, -1\/2, -0.9, -10.\nAnswer: -184, -10, -0.9, -1\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -452.5 rounded to the nearest ten?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4686213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 + -235. Let n = b + 404. Calculate the remainder when n is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (70 + -14 + 5)\/((-4)\/(-4)). Solve -36 = j*t - 52*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - -3052221?\nAnswer: 3052234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-8))\/(-1*(-2)\/4). Suppose 5*d = q*d + 28. Suppose -2*t + 6*t - d = 0. Calculate the greatest common divisor of t and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332489 (base 10) to base 15\nAnswer: -687ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 0. Suppose -8*j + 5*q = -3*j - 30, 0 = -3*j - y*q. Suppose -5*m + j = -52. Calculate the greatest common factor of m and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 188857 = -10405623. Let y = 4138896 + i. What is y rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 113, 230, 347, 464?\n\"Answer: 117*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 1:41 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/9 + 328\/72 and 25\/123.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13\/535869 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4029*m**3 + 5*m**2 + 20*m - 29. Is z(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711342 divided by 73?\nAnswer: 711342\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(-1)*h)\/h)**(1\/36)\/(h**(-6\/7)\/(h**(-2\/11)*h)))**(-2\/5) assuming h is positive.\nAnswer: h**(-258\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 15904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*u - 26 = -5*u, -u = -4*h + 50. Let o be -13 - (-12)\/(h\/3). Let n = 20 + o. Calculate the lowest common multiple of 1 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w - 3*w + 0 - 2. Let q be d(3). Solve 5*j = j - 4*s, -q*j + 5*s = 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -2)*-117 + (-1 - -1). Let t be ((-216)\/j - 4\/26) + 20. Is t >= 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -1.3. Let v = h + 1. Let t be ((-3)\/6)\/((-31)\/(-186)). Which is the smallest value? (a) 3 (b) t (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*a + 14. Solve a + 2 = -4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 31*f = 110. Suppose -4*v - 5*p = -f, -3*p + 2 = 3*v - 4. Solve -3*k + 5 = -i - v, -5*i - 20 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - g**2 + 2. Let z be ((-4)\/2)\/((-10)\/(-25)). Let n(y) = y**2 + 7*y + 6. Let m be n(z). Let v = 2 + m. Calculate p(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 696, 1781, 3736, 6981, 11936?\nAnswer: 19021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 823*t + 124954. Calculate k(-131).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*o - 6, -5*o + 7 - 22 = 0. Let t be (1\/(-3))\/(1\/(-3)). Let d be 0 + (-2 - -2*t). Solve c = -d*y + 2*y + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -b?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 - 38 = 47*y. Solve -y*s = r - 24, 5*r - 4*s + 13 + 12 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 621 + 273 = 3*j, -3*a = -2*j - 1315. Is 63 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - t + 4. Let r = -3 - -14. Let o = r - 11. Let m be b(o). Solve -3*w = -m*w + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11*n**2 + 7*n - 2*n - 9*n**2 - 5. Let t(l) = -l**2 - 2*l + 2. Let d(u) = 2*b(u) + 5*t(u). Let r(w) = w + 0 + 0. Determine d(r(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*r - 104 = 199*r. Let a(z) = z**2 - 6*z + 2. Give a(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/1015 and ((7 + 180\/3)\/(-5))\/34?\nAnswer: 34510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 3*v**2 + 0*v - 2*v + 3. Is o(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(144))\/sqrt(8).\nAnswer: -3*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -3*c + 21. Let w(k) = 10*k**2 + 7*k + 2. What is the remainder when w(c) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -13*i**2 - 1\/390*i**5 - 1\/455*i**7 + 0*i + 1\/195*i**6 + 0*i**3 + 0*i**4 + 0. Factor b(u).\nAnswer: -2*u**2*(u - 1)*(3*u - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -159, -567, -1367, -2691, -4671?\n\"Answer: -22*a**3 + 2*a**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**(-42)*(m*((m\/((m\/(m\/m**7))\/m))\/m*m*m)\/m)\/(((m**5\/m)\/m)\/m))**(2\/35) assuming m is positive.\nAnswer: m**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53420 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5710 - 17612?\nAnswer: -11702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1288 and 103\/32368.\nAnswer: 744464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1666 is divided by 225?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-2) + (-1)\/2. Let v = 10 + -9. Suppose 3*p - v - g = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-186)\/62*10222\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**6\/120 - 11*s**5\/60 - s**4\/2 + 11*s**3\/6 + 3*s**2\/2 - 3*s. Let k(d) be the first derivative of u(d). Is k(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -545*i**3 - 26*i + 7757. Let y(r) = 109*r**3 + 5*r - 1552. Let v(k) = 2*b(k) + 11*y(k). What is the derivative of v(q) wrt q?\nAnswer: 327*q**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*b - 145 = 0, -3*b = -2*r + 2*b - 53. Let z = r - -45. Calculate the remainder when 21 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r + 24. Let u be (-9)\/(-6) + 1 + 157\/2. Solve r - 16 + 30*y - u*y**2 + 6*y = 0.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1467*k + 10. Give j(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 341801 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169 - -290. Let c = q + -133. What is the tens digit of (-1402)\/c + (-9)\/(-54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -307 + 535. Calculate the remainder when r is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/3 - 25*n**2 + 2344*n\/3 - 5200 = 0 for n.\nAnswer: -100, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26063, 26524, 26985, 27446, 27907?\nAnswer: 28368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121866 is divided by 8701?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 795.1 - 795. Let w = -15.5 - -15. Which is the third smallest value? (a) 5 (b) z (c) 2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -43*g**5\/20 - g**4\/24 - g**2 - 137. Let w(c) = c**2. What is w(i(q))?\nAnswer: 16641*q**4 + 258*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 - 154*b**2 - 56*b - 240. Give h(-51).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20\/601 - -196607\/2404. Let u = 82 - w. Let h = -0.405 + 0.005. What is the closest to u in h, 4\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198 divided by 66\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t = 6. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itnnttt. What is prob of sequence nt?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 114092982378 - -1512?\nAnswer: 114092983890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*k = -784 - 1104 - 2073 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -4)*66\/(-110)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 305136 divided by 1\nAnswer: 305136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1219431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -310\/29 - -9322\/145. Let y = 53 - d. Is 2 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -4*w - 916 + 892, -4*v - 2*w - 14 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 15. Is h > -2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -809 + 1142. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5356 is divided by 1784.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082799ml in litres?\nAnswer: 0.000082799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/12 + (-5)\/(-3). Calculate the lowest common multiple of 6 - (-1 - a - 1) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -20*x**5 - 4475*x**4 - 41420*x**3 + 66715*x**2 + 80140*x - 23540 = 0?\nAnswer: -214, -11, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 21 - 15 - 13. Let d be (-4)\/8 + 22\/4. Let z(s) = s - 7. Let y(c) = d*o(c) - 6*z(c). What is the derivative of y(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.6 + 6.4. Let p = -72 + o. Let i = -40 - p. Which is the smallest value? (a) i (b) 3\/2 (c) -3\/5 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 15992\nAnswer: 1\/15992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1819 (b) 24 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1244839504 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368192 is divided by 811?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n - 12. Let k = n + -3. Solve 0 = -3*u, 5*h - 14 = -k*u - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((8 - (6 + -4)) + -2 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/222 and 44\/333?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/31482 and -13\/90?\nAnswer: 157410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-163.3.\nAnswer: -1306.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 2*q + 19. Let w be j(3). Solve k = w*k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6, q = 4*s + 4*q - 293. Let 5*u**3 - s*u + 71*u - 4*u**3 + 4*u**2 = 0. What is u?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3206 + 3201. What is the nearest to 4 in 0.3, f, 1\/3, 10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -3*b**4\/4 - 17*b**3 - 84*b**2 - 156*b - 764. Factor a(l).\nAnswer: -3*(l + 2)**2*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175645.\nAnswer: 5, 23, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 6*c**3 - 3*c**3)*(-5*c + c + 2*c + (-c - 3*c + 2*c)*(3 + 2 - 3) - 19*c + 0 + 0 - 3*c - 1 + 1)*(0*c + 0*c + c) + 14*c**5 - 13*c**5 + 16*c**5.\nAnswer: -11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -48. Put 5, 3, k, -1 in descending order.\nAnswer: 5, 3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75836 - 75836 + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2. Let b(c) = 637*c + 2. Give b(w(o)).\nAnswer: -1274*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 24. Let i be 1 + 16 - (-3 + 0). What is the remainder when (2\/3)\/(i\/1050) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 u when three letters picked without replacement from {u: 2, r: 9, g: 6, n: 2}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6261285.\nAnswer: 3, 5, 417419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-780 - 4*t + 780)*(-21*t + 45*t - 11*t + 2*t + t - t + (-4*t + 0*t + 2*t)*(0 - 4 + 3)).\nAnswer: -68*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c - 16. Determine z(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 5:03 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/32 and -71\/164?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54 and 35.\nAnswer: -1890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - -93. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 28, 35?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((6\/(-2))\/3)\/(-1). What is the nearest to d in -2\/5, -2\/19, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -p - 7. Let i be (((-4)\/(-10))\/1)\/2. Sort p, i, -3\/7 in descending order.\nAnswer: p, i, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 21*w - 195 = 0. Let z = 105 - 107. Sort z, w, 1 in decreasing order.\nAnswer: w, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 445327 or 445328?\nAnswer: 445328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4884 divided by -11?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 + l - 60 + l**2 + 60 + l**3 as r*l**4 + f*l**2 + x*l + z*l**3 + k and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 776521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-1476)\/(-5535))\/((-4)\/6))\/((-2)\/(-35))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.7 - -12.9. Which is the smallest value? (a) -0.3 (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(-22) + (-6)\/(-4). Suppose -h*t - 19 = 7. Let f = -4 - t. Calculate the greatest common factor of 36 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h**5 + 68538*h**3 + 2*h**2 - 78296*h wrt h?\nAnswer: 360*h**2 + 411228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 21 = -33. Let m = -1480 + 1481. Sort -5, n, 13, m.\nAnswer: -5, m, n, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 11*x + 3. What is u(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*i - 16*i - 1 + 11)*(-593*i**2 + 593*i**2 - 12*i**4) - i**5 - 4*i**5 + 4*i**5.\nAnswer: -25*i**5 - 120*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379715.8km to micrometers.\nAnswer: 379715800000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -4)\/(210\/(-420))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-8))\/((-6010)\/(-9616)). What is the third smallest value in -0.773, m, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-2175)*55\/(-22)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - 3. Let z = n + 29. Suppose -2*g + 0*a + 2*a + z = 0, 0 = -2*g + 3*a + 11. Solve -v + 3*v = -g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1187 divided by 1.\nAnswer: -1187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-840)\/(-432)*(1008\/5194)\/(-24))\/((-10)\/8).\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -304 + 308. Calculate the lowest common multiple of 32 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1636 and 5.\nAnswer: -1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 10. Let b(g) = 2 + 4*g + 2*g + 4 - 7*g. Let x be b(-10). Is x less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.94 and -20.818.\nAnswer: -61.20492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + 2 + -4)\/(3\/(-276)). Suppose -5*f = 5*g + 295, -2*g + 1 = 9. Let m = f - l. Calculate the remainder when m is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 44. Let h = -0.0025 + -0.3975. What is the second smallest value in h, x, -5, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5073396 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(7\/3))**(-45)*d**(1\/15)\/d*((((d*d**25)\/d)\/d)\/d)\/d*d assuming d is positive.\nAnswer: d**(1231\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4303 + -4021. Is 0 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1815791.7 months to centuries.\nAnswer: 1513.15975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c = 21*c + 24. Suppose 2*p - 2 = -k, p + 2*p + 3*k = -c. Solve -3*w + 4*w - 8 = p*l, 4*l + 2 = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70.2 - -83. Let p = 13 - z. Let d = 4 - 3.6. What is the nearest to p in -1\/11, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 121 + 355 + 1 + -12. Let a = -16 + 31. Calculate the greatest common divisor of y and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 28569*w**3 - 18 + 18 + 28580*w**3.\nAnswer: 11*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/27 and -31\/182979?\nAnswer: 182979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (12\/16 - (-387)\/(-4)). What is the smallest common multiple of 24 and (18\/(-4))\/(4 - (-392)\/h)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 338498597142 + 1.261.\nAnswer: 338498597143.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 2*q + 2*b - 35, -5*q + 40 = 3*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -31*k**2 + 76*k + 2. Let s(x) = 28*x**2 - 76*x. Let o(h) = 3*f(h) + 4*s(h). Does 29 divide o(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2. Let r(n) = -n**3 - 2*n**2 + 4*n - 7. Let u be r(-4). Suppose 6*o - 3 = u. Let x(w) = o*w**2 + 2*w**2 - 6*w**2. Calculate x(f(j)).\nAnswer: -50*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**5\/3 - g**4 - 55*g**3\/3 + 115*g**2\/3 + 18*g - 112\/3 = 0.\nAnswer: -7, -1, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -170\/7?\nAnswer: -170\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -33615 divided by 3813\nAnswer: -11205\/1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 5*n**2 - 42*n + 193. Let h be i(7). Let g(b) = -1148*b - 112. Let v(r) = 31*r + 3. Give h*g(t) - 112*v(t).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 4*o - 5 - 36, -3 = -3*l + 3*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzrzzzzzzszsszz. What is prob of picking 1 s and 1 z?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -15*v + 3. Let a(g) = 4*g - 8. Let t(l) = -6*l + 10. Let r(p) = -5*a(p) - 4*t(p). Let o(y) = -b(y) - 4*r(y). Give o(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284760, 569506, 854252?\nAnswer: 1138998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 6*i + 4*k + 20, 3*i = 4*k + 14. Calculate the highest common factor of 9 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 107?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 80*i**2 - 81*i + 152. Let a be k(79). Which is bigger: a or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(3 - 5\/((-15380)\/(-9232))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Suppose f*z - 6 = -86. Let j = -30 - z. Solve 0 = 3*y - 8*y - j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1520884658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + -27. Let b be (6\/12)\/(1\/(-36)). Let j = d - b. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5145663 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 30\/(-14) + (-24)\/28. Let u = -9.5 - 2.4. Let f = 12 + u. What is the closest to v in 0.3, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933974323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0211520346 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:56 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63695024 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 13 = -3*r + 3*p, -5*p = -4*r + 11. Sort -3, 5, r, 1 in increasing order.\nAnswer: -3, 1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 9*z + 5. Let r be c(-9). Let g(l) = 3*l + l - r*l + 5*l. Let s(f) = -f**2. Give g(s(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -3 - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50013*c + 8869 + 1037 = -50267*c for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*z**3 - 658*z**2 + 7*z + 582?\nAnswer: 18*z - 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 + h**5 - 7*h**5 - 13*h**5 - 6*h**3 + h**3 + 3*h**3 + (2*h + 0*h - 3*h)*(h**3 + 10*h**4 - h**3).\nAnswer: -29*h**5 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/225 - 217\/900. What is the fourth biggest value in -14, -3, 4, o?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -21. Suppose -5*y + 0*y + 104 = l, 12 = y - f*l. Solve 0 = -5*i - 0 + y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 19*z + 2 + 2*z**2 - 17*z)*(4 - 6 + 1).\nAnswer: -2*z**2 - 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 458.4454 millilitres in litres?\nAnswer: 0.4584454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - k - 1. Suppose -2*u = -4*p - u + 8, -p + 2*u = 5. Let h(s) = 4*s + 2. Let b(l) = p*z(l) + h(l). Calculate b(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9\/10 of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 8:24 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354043687 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-13 + 12 - 13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -62*g**2 - 276*g + 802. Give k(3).\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -629.327 rounded to the nearest ten?\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, -22, -68, -144, -256, -410, -612?\n\"Answer: -r**3 - 6*r**2 + 3*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 + 0*i**3 + 10402*i + 2*i**3.\nAnswer: -3*i**3 + 10402*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86.491*-414.\nAnswer: -35807.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 15*o - 4. Let w(d) = 2*d**2 + 16*d + 5. Let n(x) = 4*s(x) + 3*w(x). Is n(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 322 and 184?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5035657 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -173 - -94. Let f = -76.97 - j. Let v = f - 0.03. Which is the third biggest value? (a) v (b) 5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 + 2\/4. Let p = 17 - 9. Suppose p*x = 3*x - 20. Which is the third biggest value? (a) -1 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 13*j - 28. Let y be k(15). What is the third derivative of -22*n**2 + 32*n**y - 25*n**3 + 13*n**2 wrt n?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1862, -782, 994, 3466, 6634?\n\"Answer: 348*w**2 + 36*w - 2246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(288) + -1 + sqrt(18) + 4)**2.\nAnswer: 450*sqrt(2) + 2295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1338.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/6, -48\/29?\nAnswer: -48\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1253, -5, 4, 5 in decreasing order.\nAnswer: 5, 4, -5, -1253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 294 + -285. What is the smallest common multiple of b and 348?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w - 4*k + 13 = 0, -2*w + 2*k - 2 = 0. Let j = -8 - -4. Let a be (j - 176\/(-20))\/(w\/5). Calculate the greatest common factor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*n + 2*n - 7*n)*(n**2 - n**2 - 2*n**2) + 0*n**3 - n**3 + 2*n**3 - 18*n**3 - 23*n**3 + 10*n**3)*(19*n - 41*n + 36*n).\nAnswer: -392*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1778 = -5*j, -j - 6*p + 343 = -2*p. Let x = j + -357. What is the nearest to 2 in -2\/5, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(6\/(-3))*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 67462.71 kilograms?\nAnswer: 67462710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 3 - 0)\/(11\/(-198)). Factor 198*k + 5*k**3 - j*k - 60 - 30*k**2 - 38 - 3*k**3.\nAnswer: 2*(k - 7)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n - 51. Let g be u(-12). Let i = 106 - g. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10121 or 10124?\nAnswer: 10124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 57953*c. Let n(i) = -315*i. Calculate n(k(f)).\nAnswer: -18255195*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + r**2)*(-3 + 6 - 1 + (4 - 5 - 1)*(2 - 2 - 1) + (0 + 0 + 2)*(1 - 4 + 5))*(-2*r - r + r).\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000530791 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 192 = 15*m - 38, 0 = 2*f + 19*m - 15*m - 9*m + 84 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -853 (b) -0.37 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/21*-266*11\/22. What is the greatest common divisor of b and 8398?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 176, 5 in descending order.\nAnswer: 176, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 + 98*d**2 - 888*d - 7498. What is l(24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2. Suppose 2*q + 0*q + 2 = 0. Let g(f) = f**2 - 35*f - 197. Let u be g(40). Let y(h) = -2*h**2. Determine q*y(r) + u*m(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -2\/23, 5, 11, 1, -2\/11?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 7*d - 2. Suppose -3*g - 2*x - 17 = 0, x - 14 = -6*g + 9*g. Give j(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121\/4*i**3 - 4 + 45*i - 132*i**2.\nAnswer: (i - 4)*(11*i - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*s + 10 = 84, 5*s + 238 = 3*l. Let x = 47 - l. Let g = x + 64. What is the highest common divisor of 275 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (22 + -22)\/(8 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 36476 + 186886 = 5*s, 4*f = 2*s - 60178. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4865.966 millilitres?\nAnswer: 4.865966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t + 37*t - 424 = -25*t. Solve -2\/3*m**4 - 22\/3*m + 2*m**3 + 2*m**2 + t = 0 for m.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -24491\/13298 + 87\/218. Is -2 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183677 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 + 2*d**2 - 30*d + 61. Let t be h(2). Sort 1, -2, t, 6 in descending order.\nAnswer: 6, 1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {a: 1, d: 5, q: 12}.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1\/64447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161786 + 161785.9410205. Let z = 0.05128 + 0.00772. Let w = b + z. Round w to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 39 - 37 = 0. Calculate the remainder when z is divided by (-3)\/(-12) + 1\/(20\/215).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -11*j - 17. Let l be (-6)\/(2\/4 + -2). Suppose -6 = -l*h + h. Let a = -4 - h. Let f(i) = 5*i + 8. Calculate a*p(s) - 13*f(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3371483 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/482 and 27\/20.\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 0*b - 25. Suppose -5*a + 40 = -4*a - 4*r, -5*a - b*r = -75. Let c be 46 + 2 - (-2)\/1. Calculate the greatest common divisor of a and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 54. Give t(28).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*(v*v*v**(-4)\/v)\/v*v)\/(v*v**(-5))*(v**(2\/5))**(1\/34) assuming v is positive.\nAnswer: v**(256\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l. Let n be z(-1). Let m = n - -17. Differentiate s + m + 0*s - 5*s - 8*s wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**3\/9 - 92*i**2\/9 + 398*i\/9 + 164\/3 = 0.\nAnswer: -1, 6, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, 20, 85, 216, 437?\n\"Answer: 4*t**3 - 3*t**2 + 4*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one fifths of a decade?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 11*i + 17. Suppose -5*h + 45 = 3*t, -16 = -h + t + 1. Let z be f(h). Let l = z - 5. What is the nearest to 0.3 in 0.3, l, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65031 (base 8) in base 5?\nAnswer: 1332121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdudskn. Give prob of sequence knu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*27.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 - 2.6. What is the closest to n in -0.2, -0.3, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {l: 1, g: 1, r: 2, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1058, -1117, -1168, -1217, -1270, -1333, -1412, -1513?\nAnswer: -1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 56473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086.226 plus 35.7?\nAnswer: 1121.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -7, 4 in increasing order.\nAnswer: -7, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/((-5)\/45). Suppose a = 4*w - 3*w - 2, s*w = -4*a + 20. Let i(q) = q**3 - 3*q**2 - 5*q - 1. What is i(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1029838 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502, -1017, -1532?\nAnswer: -2047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + -22. Let j be y\/12*2\/(-10). Let -1\/4*r**2 - j*r + 0 = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/85)\/(78\/260).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 4:26 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, o: 13, v: 3}. Give prob of sequence oooz.\nAnswer: 286\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t**3. Suppose 3*k - 2*k - 4 = 0. Suppose 3*d - 8 + 26 = -3*z, -k*z + 11 = -3*d. What are the prime factors of f(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6615467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 - 6798277*l**2\/6 + 641896996740*l - 213965539686.\nAnswer: (l - 1133046)**2*(3*l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 13*m + 44 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17177\/5607 + 2\/9. Which is greater: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-11) - (-6)\/33. Let i(n) = n**3 + 4*n**2 - 6*n - 2. Let z be (1 + -6)*(3 - 2). Let o be i(z). Put o, -4, c in increasing order.\nAnswer: -4, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + -231032232?\nAnswer: -231032123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 + -6 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/9 - 16*t**4\/3 - 85*t**3\/9 + 38*t**2 + 932*t\/9 + 184\/3 = 0. Calculate t.\nAnswer: -46, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3910.7*541.\nAnswer: 2115688.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.235 + -0.135. Let q = 0 + 0.2. Let k = -2789 + 2788. What is the closest to n in 5, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*g - 1860 = 40*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/9)\/(-1 - 12\/(-8)). Which is the closest to 3? (a) 3 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*q = 9*q + 125, -5*m = q - 113. Suppose 8*y - 7*y - 69 = 0. Calculate the greatest common divisor of m and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**2. Let v(g) be the third derivative of g**6\/90 - 53*g**3\/2 + 4*g**2 - 9*g. Let h(z) be the first derivative of v(z). Calculate n(h(u)).\nAnswer: -112*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 11:30 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 29. Let u be y(19). Let d be (u\/(-3))\/((-11)\/33). List the prime factors of (-2 + 316\/5)*d\/3.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9929*t + 25 - 2*t**3 - t**4 - 4965*t - 4965*t to w*t + j*t**2 + o*t**3 + f + m*t**4 and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + i + 130959995 = 0, -198*x + 98219990 = -201*x - 2*i. What is x rounded to the nearest 1000000?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x - 34*x = -5*r - 33, -4*r + 2*x = 22 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -46.28?\nAnswer: -42.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 6:16 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -8968010974800.\nAnswer: -8968010974801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 divided by -1?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -5. What is the nearest to s in 0.1, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 14 - 4 = 4*g, -5*t - 5*g = 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*x**2 + 254*x**2 + 20 - 20.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 + 91*d + 635. Determine i(35).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u**3 + 4*u**2 + 4*u - 4. Let d(a) = 4*a**2 - 19 + 7*a + 0*a**3 + 3*a**2 + 12 - 16*a**3. Give 4*d(z) - 7*p(z).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Let m(d) = -29*d - 2*d**2 + 2 - 1 + 4*d**2 + 7*d. Let y(g) = m(g) + 5*p(g). Let o be y(7). Solve 4*b - 10 - o = q, 4*q - b = -25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, 9, -9, -1, 1451 in ascending order.\nAnswer: -9, -8, -1, 1, 9, 1451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3177, 6352, 9527, 12702, 15877, 19052?\nAnswer: 22227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**6\/60 - x**4\/12 - 20*x**2. What is i in c(i) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 20. Suppose 4747 = 60*a - 5453. Calculate the highest common factor of a and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*a*b*o**3 + 17*a*b*o**2 - 2*a*o**3 + 2*a*o + 391*a wrt b?\nAnswer: -15*a*o**3 + 17*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccch when four letters picked without replacement from hcccchchcccchhcccc?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 4:05 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1019, -1917, -2803, -3671, -4515, -5329?\nAnswer: -6107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = 24 + 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 15.86, -31, -2, 0.5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(-16)*t*t**(-1)*t**(-1))\/((t**(1\/2))**(-31)*(t*t*t**(1\/4))**(-3\/17)) assuming t is positive.\nAnswer: t**(1013\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/3 (b) -8 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*6*(-3)\/(-2). Suppose 0 = 5*m - 1 - i. Suppose 0 = m*k + 3*k - 155. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5102069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. List the prime factors of 207\/12 - l\/12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r + 56 = -2*v, 2*r - 30 = 2*v. Let f = -9 + r. Suppose -19*t = -20*t - 1. Put t, f, -3 in descending order.\nAnswer: f, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**(-2\/15)*j*j)))\/j**4*(j**0)**(-32) assuming j is positive.\nAnswer: j**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 0 + (-71 - (31 + -132))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8391 - -8379.8. What is r rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 250 - 31*j + 87*j - 251 as n*j + g and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 269.66 and -245.78.\nAnswer: -66277.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 14. Suppose -a - 2*a = 12. Let j(q) = q**2 + 2*q - 5. Let v be j(a). Solve 2*u - 5*f = d, v*u + 24 = -u - 5*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11, -0.2, 59, 0.3?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((4\/(-5))\/(-4)). Let g be 6*(-1)\/(-2)*1. Let d = y + g. Solve 0 = 4*m - 5 + d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -20*u**3 - u**2 + 2*u + 4. What is the lowest common multiple of (10\/(-8))\/(1\/(-24)) and w(-1)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.29 - 6.81. Let z = j + 80.9. Let m = -74 + z. Put 3, -21, m in descending order.\nAnswer: 3, m, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 152.1273ug?\nAnswer: 0.0000001521273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1080245, 2160485, 3240725?\n\"Answer: 1080240*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 11:57 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 50 = 5*q - 5*z, 26 = 2*q - 5*z. Let m(v) = v**2 + 4*v**2 + q*v + 6 - 14. Let y(x) = -2 + 3 + 3*x - 3 + 2*x**2 - 1. Determine -3*m(h) + 8*y(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11705 - -11704.780159. Let n = y + 0.22. Round n to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -26, -63, -126, -221, -354, -531, -758?\n\"Answer: -m**3 - 4*m**2 + 2*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 4, -0.4, 33?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from mbibdmbbmmdefmbdii.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-8)*(-3)\/(-7)*48\/(-216)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 + 195. Let i be 25\/15*-3*(-3)\/k. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15769 (base 10) in base 4?\nAnswer: -3312121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11*u**2 - 2*u - 13. Let i(v) = -208*v**2 - 39*v - 247. Let b(j) = -2*i(j) + 39*n(j). Differentiate b(z) wrt z.\nAnswer: -26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23742 (base 9) to base 5\nAnswer: 1002124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 61*y**2 - 412*y - 13639. Determine q(-58).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/27 + 48\/(-27). Let x be (8 + 4)*c\/(-6). Suppose x*p = 3*f + 26, -p + f + 0*f + 6 = 0. Calculate the remainder when p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1380.8 - -1377. Round s to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 divided by 160?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -195*c**3 - 3*c**2 - 3*c - 3. Let o be l(-2). Let k(i) = -i**2 + 66*i + 5. Let y be k(37). Let n = o + y. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65115329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/80 and 121\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-414)\/(-690))\/(-3 - (-486)\/160)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -5, 2\/29, 200\/3, 3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 0, 24, 46, 66, 84?\n\"Answer: -h**2 + 27*h - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*z - 42*f - 257*z + 1 with respect to f.\nAnswer: 2*z - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 4*b + 28*b + 36*b**2 - 40*b**2 - 5*b.\nAnswer: -4*b**2 + 25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91.22 - -93.22. Let k = -58\/65 + 9\/13. Put 1\/2, 6, k, x in increasing order.\nAnswer: k, 1\/2, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8000127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 + -56. Let o(s) = -s**2 - 8*s - 9. Let h be o(-6). Suppose 0 = 4*l + 8, h*j = -j + 3*l + 78. What is the highest common divisor of j and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 6. Let j be a(-4). Let v be (10\/4)\/((-1)\/j). Let u = -7 - -11. Solve -u*q - v = 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37920643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {c: 1, b: 2, l: 1, j: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k. Let a(t) = 549390*t. Calculate a(u(w)).\nAnswer: -1648170*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -11?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -15359649 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k. Let q be d(1). Suppose 28 + 18 = -2*z + 4*p, 3*z + 24 = -3*p. What is the nearest to -1 in -2\/3, z, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -826, -1655, -2486, -3319, -4154, -4991, -5830?\n\"Answer: -g**2 - 826*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -39*(-6)\/54 + -4. Which is the third biggest value? (a) j (b) 1 (c) -1\/6 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/911 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18, -17, 178, 1, 1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 12*s**3 + 8*s**2 + 14*s - 2. Let t(d) = d**3 + 2*d**2 + 2*d. Let y(i) = -c(i) + 4*t(i). Let h(o) = -7*o**3 - 5*o + 1. Calculate 6*h(f) - 5*y(f).\nAnswer: -2*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**(-14\/9)*((q*(q*q**1\/q)\/q)\/q)\/(q**1\/q) assuming q is positive.\nAnswer: q**(7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + 0 - (4 - 2)) + (-1 - -39) + -36.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 43*c**2 + 36*c - 204. Is t(-15) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191080 times 0.0041?\nAnswer: -783.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 14*v + 25. Let p(o) = -2*o + 2. Let m(f) = f - 3. Let d be m(-2). Let s be p(d). What is the lowest common multiple of 1 and k(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 4*m + 7. Suppose -8*f - 20 = -4*f. Let w be u(f). What are the prime factors of (-2)\/3*(-33)\/w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 558906204 by -139726551.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 117101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*u - u + 3*u)*(0*u + u - 2*u) + 3 - 2 - 4*u**2 + 0)*(0*u - 3*u - 2*u) to n*u**3 + b + j*u + z*u**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**8\/1344 - x**5\/30 + x**4\/4 + 5*x. Let g(a) be the third derivative of r(a). Find the first derivative of g(q) wrt q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11723953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/24 + 8\/(-24). What is the biggest value in y, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 262602 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2879 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.107 - -8.907. Let z = 9 - x. Let t = -901\/7 + 129. Put z, -1\/5, t in descending order.\nAnswer: t, z, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - -5) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14850010\/(-68)*(-1 + 4\/(-4)) + 4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j\/j**2))\/j*j*j**4)\/(j\/((j**(2\/3)\/j)\/j))**(-31\/3)*(j\/(j*j**(2\/15)))\/((j*j**(3\/8))\/j)*(j**(-1)*j)**(-8\/7) assuming j is positive.\nAnswer: j**(11017\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 1513*s**6\/60 - 1007*s**5\/30 + 471*s**2. Find the third derivative of p(b) wrt b.\nAnswer: 18156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*q**2 - 59*q**3 + 51*q**3 - 55*q**3 + 7 - q**4 - 2*q + 62*q**3 to b*q**2 + o*q**4 + c + g*q**3 + p*q and give b.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 5*t**2 + 3*t - 12. Let u be v(5). Suppose 0 = -4*f + u*f + 1. Differentiate -2 + 3 - 3*s**2 + f - 7 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 8:53 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36.660002503 - 36.66. Round c to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -23. Let n = 6 - 6. Which is the biggest value? (a) d (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -2\/7, -2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 12:09 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/16 and -31\/16032?\nAnswer: 16032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95923474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.27 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, d: 7, o: 3, b: 1}. What is prob of picking 2 d?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971*n + 14 = 969*n - 2*o, 0 = 4*o + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 5:29 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13941, -13940, -13939, -13938, -13937?\nAnswer: -13936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 3*u**2 - 9*u - 3. Let z be b(5). Let k(r) = 3*r**2 + 7*r - 8. Let t(a) = 8*a**2 + 20*a - 23. Let w(q) = 17*k(q) - 6*t(q). Give w(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + 6*(1*sqrt(209) - sqrt(209)))\/sqrt(11).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100\/7 + -14. Which is greater: i or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 6*b**2 + 0 + 5*b + 0*b**4 + 0*b**3 - 1\/12*b**5. Let r(x) = -37*x**2. What is c(r(q))?\nAnswer: -6845*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 164*c - 1556. What is the remainder when l(13) is divided by 83?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -2\/9, 1\/10 in decreasing order.\nAnswer: 1\/10, -2\/9, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -459 - -464. Sort -0.5, -277, z.\nAnswer: -277, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8915520 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 10:10 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 437.1 - 437. Suppose 4*l - l = 12. Which is the nearest to -1\/8? (a) g (b) l (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -114 and 0.724.\nAnswer: -113.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127\/21 + -6. Let b(l) be the first derivative of 0*l + 0*l**2 + 4\/21*l**3 - 5\/14*l**4 + 3 - y*l**6 + 8\/35*l**5. Suppose b(g) = 0. Calculate g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.8 and -53.8?\nAnswer: 57.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 836*q - 3353. Determine k(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -10*h - 248. What is the remainder when h is divided by 41?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110 (base 6) to base 7.\nAnswer: -1245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2296420 divided by 114821\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5 - 16562*k**4 - 33130*k**3 - 16566*k**2.\nAnswer: 2*k**2*(k - 8283)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-72))\/(((-2752)\/(-5280))\/43))\/(1\/(-3))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2)*(-20)\/225. Let v = 10\/3 + -8\/3. Let f be (-2)\/(-1)*(-1)\/6. Sort p, v, f in decreasing order.\nAnswer: v, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8*d + 5 = 0. Let r(k) = 5*k**2 + 4*k + 4. Let w be r(d). Put w, 1, 0 in decreasing order.\nAnswer: w, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/4))**(-7\/4))**(-6\/19)*((r\/(((r*r**(3\/11))\/r*r)\/r))\/(r\/(r\/(((r**(-3)*r)\/r)\/r))))\/((r\/r**(1\/3)*r)\/(r**(-2\/7)*r)) assuming r is positive.\nAnswer: r**(147097\/35112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2232 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39017881 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/460 and -157\/414.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-92)*(-416)\/520.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 8*c + 9. Let l be f(-5). Let d be (-21)\/28*l\/9. Let y be (-2)\/(-11) + (-64)\/(-132). What is the nearest to y in d, -2, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 8*a**2 - 4250*a - 21202. Give q(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, -5, -3, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1252, 2544, 3802, 5026, 6216, 7372, 8494?\nAnswer: 9582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 365, 1454, 3267, 5804?\n\"Answer: 362*n**2 + 3*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2 - 307*b - 4070. Calculate j(-15).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = -b - 8, 5*b = -5*y - 20. Let l(s) = 19*s + 3. Let c(m) = -16*m - 2. Let z(p) = -6*c(p) - 5*l(p). What is z(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2\/15 (c) 0.4 (d) -334\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -364 - -364. Suppose n = 8*y - 184 + 168. Solve a - 1 = 2*w, -y*a = -0*a - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**3\/3 - 4*h**2 - 6*h - 13. Let c be b(-7). Let p be (-14)\/63 - c\/(27\/(-6)). Let x(k) = -k**2 + k - 6. Determine x(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8505934 = -2863582. Let r = 3344758 + u. What is r rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*c**2 - 44*c**3 + 37*c**3 + 30*c**2 + (c + 2*c - c)*(c - c**2 - c) - c**2 + c**2 - c**3 to j + f*c**3 + u*c + o*c**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(34590*q - 11392*q + 25888*q - 741 + 741).\nAnswer: 49086*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 32795100*k + 53775929200500.\nAnswer: 5*(k - 3279510)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84505646?\nAnswer: 2, 421, 100363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - 1 - ((-6 - -17) + -2) - (-7 + 4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2944 by 102.\nAnswer: -1472\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1590 - 8) + -1 + 1. Let o = -1419 - -2537. Let p = o + h. Round p to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**3 - 5*j**2 + 7*j + 83. Let c(n) = 6*n. Let y be c(1). What is the remainder when g(y) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 420 * -5\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**3 - 368*w**2 - 2860*w + 642200 = 0.\nAnswer: -38, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -789*s**2*t - 379*s**2 + 2*s*t - 1293518*t wrt s?\nAnswer: -1578*t - 758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + 106. Let y(c) = 2*c - 14. Calculate y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14170 is divided by 3960?\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -212310875 rounded to the nearest 100000?\nAnswer: -212300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 1. Let v(g) = 4*g + 1. Let a(i) = v(i) + 6*x(i). Let o be a(1). Suppose -3*w = o - 14. Solve r - 5*r + 4*s = 32, w*r + 5*s - 16 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -17. What is the third smallest value in 2\/3, p, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91)\/10 + ((-7990)\/(-340) - 24).\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*q + 4*y = 235*q - 184, -10*y = -3*q - 0*y - 138 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*b + 14*b + 2 - 2.\nAnswer: 37*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3390, -10441, -21150, -35517, -53542, -75225?\n\"Answer: -1829*z**2 - 1564*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*o + 38*o + 108*o.\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*(sqrt(2448) - -6*2*sqrt(2448))**2 + ((sqrt(2448) - (sqrt(2448) + -5*(sqrt(2448) + -1) - sqrt(2448) - sqrt(2448))) + -3)**2 + -5.\nAnswer: -1344*sqrt(17) + 947433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, s: 3, z: 1, r: 1, d: 3, v: 3}. What is prob of sequence dzrv?\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Let l be (-9)\/(-3) - (c + -1). Suppose s - 3 = -j, -6 = -4*s - j - l. What is the remainder when 2 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7*t**2 - t**3 - 4.\nAnswer: -t**3 + 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154551 + -104068. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1121\/3*k + 1\/3*k**2 - 374.\nAnswer: (k - 1122)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5 = -9*l. Let k = 13 - 13.3. Which is the closest to l? (a) k (b) 2\/17 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*z + 68, -4*k - 34 = -6*k - 2*z. What is the remainder when 2498 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197\/45 + 23\/5. What is the closest to -4 in 2\/7, -1\/2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 520020 and 2889.\nAnswer: 520020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -414 - -2519. What are the prime factors of i?\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10977269803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z**2 + z + 9. Let l be h(0). Calculate the common denominator of (94\/4)\/(9\/l) + 1 and -53\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3*3*sqrt(144) - sqrt(144))\/(sqrt(16)\/sqrt(2)*-4*3))**2 + -4.\nAnswer: 8 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 - 5*x**4 + 4*x**2 + 0*x**4 - 3*x**4 + 2*x**4 + (-1 - x + 1)*(x**3 + 3 - 3) - 6*x**4 + 3*x**4 + x**4 + (0 + 0 + x**2)*(-x - 2*x**2 + x).\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 233.9449 - 224.946. Let b = -9 + c. Round b to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by -54.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(-3*u + u + 0*u) + 0*u - 2*u + 4*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-8))\/(95\/608*-12)?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*((sqrt(3500)*-1)\/sqrt(7) - ((1 + sqrt(5))*-3 + -3)).\nAnswer: -42*sqrt(5) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3168))\/(sqrt(132)\/(sqrt(24)\/sqrt(2))) - ((sqrt(98) + 2)**2 + 1)*-1.\nAnswer: 52*sqrt(2) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 18\/(-6) - (-28)\/(-3360)*-1336 - 0.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 11*(-2)\/(-26). What is the closest to 1\/3 in l, 1\/4, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4)*-2 + sqrt(102)\/sqrt(54).\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 + -7. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-6))\/((-12)\/16*1). Suppose -2*v + 32 = q*v. Calculate the highest common factor of 56 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 1. Let s be -6*(3 + i\/9). What is the second derivative of -4*u + 11*u**2 + 0*u - 19*u**s + 11*u**2 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 16*c**2 - 24*c + 1. What is the hundreds digit of p(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -269 - -270.17. Let g = a + -0.74. Round g to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*9\/30)\/(17\/(595\/154))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9281299.\nAnswer: 9281299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-35) - 12\/20 - -1449. Suppose 3*i = -5*u + 4193, -4*u - 5*i + 1895 + v = 0. What is the highest common factor of u and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -88455 + (6 - (-32)\/(-8)). Let p = u + 24653. Round p to the nearest one thousand.\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2. Let z(n) = 266059*n. Give a(z(q)).\nAnswer: 70787391481*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8040 is divided by 7697.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1869644?\nAnswer: 2, 7, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10321 - 11*u + 10321. Let w(f) = f. Let q(k) = -7*k. Let x(v) = -q(v) - 6*w(v). Determine x(n(s)).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**9\/12096 + x**8\/336 - 17*x**5\/60 - x**3\/6 - 26*x**2. Let j(f) be the third derivative of n(f). Factor j(b).\nAnswer: 5*b**2*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 0, -1, -2, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73285?\nAnswer: 5, 14657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 6*y - 3*y + y - 2*y + 4*y + y - 4*y + y + (1 - 1 + 2*y)*(2 - 7 + 3))*(-y**2 - y + y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 420 - -5?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.1? (a) -4 (b) 85 (c) -1 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-1)\/1 + -3*(-286)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 128\/10 + -6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 193176.\nAnswer: 1352232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -25, 2, -3\/5, -63, 1\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*i**2 - 144*i**3 + 27*i**2 + 26*i**2 - 1425*i**3 + 29*i**2 to k*i + h*i**2 + l*i**3 + p and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 + 21 = -33*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 580 + 579 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1198 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d - 5. Let s = d + -2. Calculate the remainder when 11 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 10 - 9*d**3 + 5 - 7.\nAnswer: -9*d**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 7 + 7 + (1 + 7 - 22)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/53290)\/(10\/(-25)*-1). Let g = 74588\/47961 - a. Let k = g - 172\/99. What is the biggest value in 3\/2, -2\/3, 6, k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + -6)\/((-1)\/4). Suppose -11 = -w*z + 101. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 15. Let k be p(8). What is the nearest to k in 0.1, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**3 + b**3 + 0*b**3 + b**3 + 0 + 0 + (-b**2 - 3 + 3)*(2 - 2 + 4*b))*(-18*b + 9*b - 21*b) to the form k*b + u + s*b**3 + d*b**4 + t*b**2 and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 7\/(-28) + (-44)\/16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:31 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p = 49178 - 48914 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-24) + 7\/10*(-245)\/(-294). Let y = 0.31 + -0.01. What is the third biggest value in 0.1, y, -1\/32, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*i, 3*g - 21*i + 17*i + 18 = 0. Let r(n) = n**2 - 5*n + 6. Let h be r(4). Put g, h, 1 in increasing order.\nAnswer: g, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w = 16*w + 8*w - 272. What is the highest common divisor of w and 731?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11\/7, 0.3, -1, -0.09, -2 in decreasing order.\nAnswer: 0.3, 0, -0.09, -1, -11\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**2 + 12*g + 12. Let c(y) = y**2 + y - 2. Let u(t) = -6*c(t) - p(t). Find b such that u(b) = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2811*r - 5627*r = -2832*r - 416 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4401 + -1065?\nAnswer: 3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 9d?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 507241 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 1\/6*w**3 - 4 - 1\/4*w**2 + 1\/6*w - 1\/24*w**4. Factor b(s).\nAnswer: -(s - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.07, -6 in ascending order.\nAnswer: -6, 0.07, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -30*p + 25*p + 14, -2*r + 5*p = 2 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 105*p**2 - 3*p + 2. What is w(1)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 4 + 0)*(-1)\/1. Let o be (-3 - (-243)\/21) + k\/(-14). Let n be (-1217)\/(-3) - (-12)\/o. Calculate the highest common divisor of 37 and n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1984362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**2 + 14. Let h(w) be the second derivative of 0*w**3 + 0 - 4*w - 1\/6*w**4 + 0*w**2. Determine h(z(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4458765 bigger than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 16627648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1025 - -1775. What is w rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, t: 1, w: 2}. What is prob of picking 2 m, 1 w, and 1 t?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-160)\/(-26) + (-4)\/26. Suppose -4*g + 7461612 = -2*d, d - n*g + 5*g + 3730807 = 0. Let k = -5320808 - d. What is k rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61615245.\nAnswer: 3, 5, 4107683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*m + 2*m. Let z = -1 - m. Solve 2*o - o + 3 = -z*i, -2*i + 1 = -3*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990759 is divided by 330252.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -33. Solve 2*l - 3*m + 6 = -c*l, 0 = -2*l - 5*m + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from neenneuenennne?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/(-328))\/((1\/3)\/(-1)). Let k = -65\/164 + q. What is the fourth biggest value in k, -1\/2, 3, 2\/19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-5 + 29\/6). Let q be ((-2)\/(-4))\/((-2)\/12). Let u = -3 - -6. What is the closest to 0.2 in j, q, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.14 + 1. Let f = u + 0.24. Let d = -2 - -1.7. Which is the nearest to 2\/7? (a) f (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 9 - 66)*(-q + 4*q - 2*q)*(-7 + 23 + 17)*(2*q + 0*q - q) to c*q**2 + b + z*q and give c.\nAnswer: -2343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -14, 1, 0.2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 22. Let o = -19 - -12. Let h be z(o). Let n = 18 - h. Solve -6*b = -v - n*b - 3, 0 = 4*v - 4*b + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 33*d - 549. Put 3, d, 7 in ascending order.\nAnswer: 3, 7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**3\/6 + 3*j**2\/2 + 30*j. Let o be b(-2). Suppose -o*i - 262 = -7*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/15, 14\/6099, 1847 in descending order.\nAnswer: 1847, 3, 2\/15, 14\/6099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, -5, 96\/13, 77, 1, 0.4, -10?\nAnswer: 96\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134864618 divided by -14.\nAnswer: -9633187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -38, 4, -7, 0, 16 in descending order.\nAnswer: 16, 4, 0, -6, -7, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + (sqrt(99))**2 + (1*sqrt(1331))**2 + sqrt(99)\/(sqrt(9) - (sqrt(36) - sqrt(9)) - sqrt(9)).\nAnswer: -sqrt(11) + 1430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + i - 162, s = -3*i - 34 + 88. Suppose 0 = -s*m + 49*m + 10. Suppose 6*p - 60 = m*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 459 (base 14) to base 6.\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12167684, 24335370, 36503056, 48670742, 60838428, 73006114?\nAnswer: 85173800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 186\/18)*12. Suppose 108*w - 46328 = t*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/8 + 15*t**3\/8.\nAnswer: t**3*(t + 15)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from kkkhllkllrlkkrkckl.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6287 + 6459. Calculate the remainder when 397 is divided by s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 164.2 + -178. What is b rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 863, -2, 176 in descending order.\nAnswer: 863, 176, 28, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -391 divided by 23?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.195, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -118, -678, -1662, -3064, -4878, -7098, -9718?\n\"Answer: b**3 - 218*b**2 + 87*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4364 = 11*j - 16*j, 4*d = -3*j - 2601. Let v = 1721 + j. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2.345, 0.09?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + g**2)*(0*g + 0*g - 2*g)*(5*g**2 + 3*g**2 - 4*g**2).\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 710606?\nAnswer: 710602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, g: 7, l: 2}. What is prob of sequence lla?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 7*h**4\/24 - 7*h**3\/3 - 48*h**2. Suppose 4*n - 14 = -g, -g + 2 + 8 = 3*n. What are the prime factors of r(n)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -14. Suppose 4*x = -5*p - 1 - 5, x + 7 = -s*p. Which is the third smallest value? (a) -3 (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 5 - 2 - 3*p. Give s(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 e when three letters picked without replacement from eyjwwowyhewy?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4 = 5*m. Suppose -2*l + 3*l - m = -5*b, 2*l - 49 = -b. Let c = l - -39. What is the remainder when c is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -52. Suppose -i*h = -6 + 2. Solve 0*g - 3*t = 4*g + 3, 0 = -h*g - 2*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7330 - 7642 = -39*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28878, 28869, 28848, 28809, 28746, 28653?\n\"Answer: -w**3 - 2*w + 28881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101100111 (base 2) to base 3.\nAnswer: 1012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ska when three letters picked without replacement from ksssrsrrsrrrrsrrsska?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 9:25 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(544)\/sqrt(2)*4 - (sqrt(17) + (1 + sqrt(272))**2 + 0 + sqrt(17) + 2)) + 0.\nAnswer: -275 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6)*g**8*(g\/(g\/(g*g**1)))**5*((g**(-5\/4)*g)\/(g**(-1)\/g))\/(g**3\/g**(-6)) assuming g is positive.\nAnswer: g**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 5\/4, 55, 148 in descending order.\nAnswer: 148, 55, 5\/4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 740 and 1060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163575 is divided by 148.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -420124297?\nAnswer: 420124297.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 0.24, -5 in descending order.\nAnswer: 67, 0.24, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 0.47 (b) 2\/5 (c) -1\/5 (d) 4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0731083 minus 0.074?\nAnswer: -0.1471083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/17 + 5278*s**2\/17 + 3360368*s\/17 - 162086760\/17.\nAnswer: 2*(s - 45)*(s + 1342)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 76 = -0*u. Suppose 2*l - u = l. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**5 + 980*q**4 - 48005*q**3 - 2950*q**2 + 146020*q - 96040 = 0. Calculate q.\nAnswer: -2, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10*(-470)\/(-376)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-75 - -7)) + -19.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/3*1206\/(-1407).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2690, 10314, 23014, 40784, 63618, 91510, 124454?\nAnswer: 162444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, o: 1, b: 3, f: 9}. What is prob of sequence bbf?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6166200 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57892133 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1568)\/(-17248))\/((-2)\/110)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1376 and 473?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -11864*r + 59326. What is f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2) - (-7 - (-18)\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9362, -18725, -28090, -37457, -46826?\n\"Answer: -s**2 - 9360*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089511461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4125.1857 rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 8)*(5 + 7 - 2)*((-4*b - b + 4*b)*(b + 2 - 2) + 2*b**2 - b + b + 2*b**2 + 0*b**2 + 0*b**2).\nAnswer: -150*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 + 71. Differentiate -10 + 1878*o**p - 1878*o**2 + 28*o**4 with respect to o.\nAnswer: 112*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 8:24 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2926 smaller than 229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2272*n**3 - 37*n + 525599 wrt n?\nAnswer: 6816*n**2 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -412, -412, -422, -448, -496, -572?\n\"Answer: -t**3 + t**2 + 4*t - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - 4) + (101 - 33) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 20?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d - 88. Let t be g(13). Let j(k) = k**3 - 28*k**2 - 36*k + 208. What is the units digit of j(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 11000111000111001000010?\nAnswer: 11000111000111001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6484757.\nAnswer: 19, 341303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -66*w**2 + 1107*w - 14. Give x(17).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s + 21 = 0. Suppose 0 = -l - 4 + s. Let j(a) = -10 - 3*a + 9*a + 30 + l. Let x(d) = 2*d + 8. Determine -6*j(u) + 17*x(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 + 137*f - 1. Let r(b) = -415*b. What is o(r(l))?\nAnswer: -516675*l**2 - 56855*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1588369 is divided by 511?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0694119 and 22286957.\nAnswer: 22286957.0694119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2433, 2575, 2717?\n\"Answer: 142*b + 2291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(3*j - 2*j - 3*j) - 2*j + 4*j + 0*j + ((3 + 2 - 6)*(0 + 2 - 3) - 1 + 3 + 1)*(-61*j - 5*j + j).\nAnswer: -262*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzzz. Give prob of sequence zl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1 + 5 + sqrt(99) - 2*-1*sqrt(99))**2 + 5*(-4 + sqrt(396))**2*5.\nAnswer: -1140*sqrt(11) + 10721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 730, 2865, 6420, 11401, 17814, 25665, 34960, 45705?\n\"Answer: l**3 + 704*l**2 + 16*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 - 50*p**2 + 8*p + 194. Determine q(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -45. What is the second smallest value in 5, a, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:26 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0312 - -246.\nAnswer: 246.0312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l + 6*l**2 + 4 + 4 + 2 + l**3. Let m be p(-7). Suppose 0 = m*j + 2*j - 35. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-28)\/49)\/4)*(-8)\/14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 0. Let t = 2 - z. Let f = -3.2 + t. What is the third biggest value in f, 0, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/8, 208, -2, 0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 43. Find the third derivative of -5*l**f - 4*l**3 + 3*l**2 - 2*l**2 - 2*l**3 wrt l.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**3\/6 - 3*n**2 - 10*n. Determine k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*p, 28*t = 27*t - 5*p + 1046. Calculate the remainder when t is divided by 261.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768336 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, -23, -49?\n\"Answer: -26*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -182987*n*o - 2985951*n - 5*o**3 wrt o?\nAnswer: -182987*n - 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 59, 62?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**7\/1575 + y**6\/1800 - y**4\/2 + y. Let c(z) be the third derivative of a(z). Factor c(h).\nAnswer: -2*h*(4*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4377868 centuries?\nAnswer: 525.34416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 66)*((5*z + 2*z - 5*z)*(-2 + 0 + 1) + 0*z + 2*z - z + 0 + 0 + 3*z + 3*z + 2*z - 4*z).\nAnswer: -213*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -66, -65, -62, -57, -50, -41?\n\"Answer: q**2 - 2*q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33769*i**4 - 2280*i - 3 wrt i?\nAnswer: 405228*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = h - 2174, -3*h + 6537 = j - 5*j. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13388 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*f + 47265 + 68820. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(6) + 3)**2 + -5.\nAnswer: 6 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-168)\/224 + 0 + (-99)\/(-4). What is the greatest common divisor of q and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 55. Let o(f) = -z + 20 + f. Let t(k) = -k**2 + 7*k - 7. Let w(v) = -v**2 + 6*v - 6. Let c(p) = 6*t(p) - 7*w(p). Determine c(o(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 5448 = 5470 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, u: 11}. Give prob of picking 4 u.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0 + 24 = 0. What is the least common multiple of 18 and (21\/(-3))\/(3\/r)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - ((-5)\/(-1) + -27). Differentiate 90 - q - 16*l**3 + 0*l**3 - 12*l**3 with respect to l.\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 8:20 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02871 + -0.32871. What is the third biggest value in 0.116, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2455883161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000478121 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/64 - -2270*21\/48.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from jijijinjiiibwjwjj?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and 41.9.\nAnswer: -1424.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227534039?\nAnswer: 271, 839609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2000931 divided by -47\nAnswer: 42573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a1639 (base 12) to base 6.\nAnswer: 13500113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j. Let w(b) = b**2 + 1. Suppose -94 - 334 = -4*t. Let o = t - 19. Let m(l) = 40*l**2 + 44. Let a(n) = o*w(n) - 2*m(n). Give a(p(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1980 by -3.\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3847 is divided by 1086.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267, 1172, 2681, 4794, 7511, 10832?\nAnswer: 14757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2 - l**2 + 8 + l + 0*l - 2*l**2. Let n(h) = 7*h**2 - 3*h - 13. Let v(d) = 4*n(d) + 9*s(d). Factor v(u).\nAnswer: (u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9514 + 3\nAnswer: 9517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(65)*1)\/(5*(sqrt(180) - sqrt(180)*-4)).\nAnswer: -2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2. Let t(a) = 42*a. What is l(t(d))?\nAnswer: -1764*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -247 + 60*m**3 - 7 + 1630*m**4 - 1629*m**4 wrt m.\nAnswer: 4*m**3 + 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 2*z)*(-5 + 0 + 4)*(0 - 6 + 8)*(-3 + z**2 + 3).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 0*b**2 + 89*b - 89*b + 29 in the form a + r*b + i*b**2 and give a.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (1 - -1*(2 + -3)). Suppose -i + 43 = -27. Let h be ((-30)\/i)\/(k\/7). Solve 4*v - h = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1963, -3217, -6635, -13303, -24307, -40733, -63667, -94195?\nAnswer: -133403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*q**3 + 3*k**3*q**2 + 3*k**3*q - 42*k**2*q**3 - 2*k**2 - q**3 - q**2 wrt q.\nAnswer: 6*k**3 - 252*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 - 21*d - 17. What is j(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 219811479 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10261148 is divided by 347.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-19)\/(-114)*9*(-8)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 777882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 201 and 6?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in -6, -5, -3, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 40832*l. Let v(b) = 349*b. Give 3*o(p) - 352*v(p).\nAnswer: -352*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - x = -6, 4*v = -0*x - 3*x + 20. Find the common denominator of 3\/v*(-94)\/30 and -115\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.28 or 567854?\nAnswer: 567854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -57\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 535 - 559. Let h be y*(-1 + 1\/3). What is the greatest common divisor of 176 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 14*r + 13. Let c(k) = -k**2 + 17*k + 13. What is 3*c(z) - 4*h(z)?\nAnswer: -3*z**2 - 5*z - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 + 108 - 3335*z + 3334*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*h**2*j*s + 712*h**2*s**3 + h*j - 4995*h*s**2 - j*s**3 wrt h?\nAnswer: -48*j*s + 1424*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -2 (b) 4 (c) 5 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 5. Calculate the lowest common multiple of 22 and 3*a + (14 - -3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.59 + -0.08. Let k = l - 0.58. Let t = 2 - 2.1. What is the closest to 0 in 5, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*m = -260, -4*m - 98 = -x - 9*m. Suppose 11 = r - x. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -11. Let w = 0.39 - 6.29. Let h = w - m. Sort h, -3\/7, 5 in descending order.\nAnswer: 5, h, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*a - 27, 0 = -t + 6*t + 3*a + 121. What is the second biggest value in -2, t, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 smaller than 0.0558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 9*n = 6*n - 9, -2*k - 5*n = -16. Solve k*v = 1 + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.995981 minus -3?\nAnswer: 2.004019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -651*c**2 + 0*c + 3*c**3 + c - 1 + 650*c**2 + 0. What is u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -2*d - 8284 + 8298, q + 21 = 3*d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 335 - 36. Suppose -k = -8*c + 1653. List the prime factors of c.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2 + 0 - 3. Let y(v) = 2*v + 4. Let r = -808 + 804. Give r*f(a) - y(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + o = 5*o - 16, -2*y = 4*o - 10. Let w = 0.4 + 0. Put y, 1\/10, w in ascending order.\nAnswer: y, 1\/10, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -3*c - 61, -v + 290209 = 2*c + 3*v + 290243 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 9 (b) -0.04 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24366, 48769, 73172, 97575, 121978, 146381?\n\"Answer: 24403*y - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1815*u - 21775. Let f be k(12). Sort -24, -44, f in descending order.\nAnswer: f, -24, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*r, 5*q + 5*r - 63 = -18. Suppose q*x + 641 = 11*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 542531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 18, 4\/3, -2, -29, -1.21, -18\/11, 2?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 77 = q - 97, 5*q = 5*p + 855. Suppose l = -l + q. Suppose -2*x - l = -5*x. Is x a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.073 * -0.5.\nAnswer: 0.0365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3, -3*s - 2*s + b = 7. Let d be -4*(14\/(-8))\/(s - -3). Let l be 0\/2 - (-11 + d). Solve -4*u = -2*u + l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.417951259 rounded to 2 dps?\nAnswer: -4.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 3, m: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872421 to the power of 1\/2, to the nearest integer?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 413*z - 374*z + 1131 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -63086 (base 16) in base 13?\nAnswer: -11282c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-40) - (-1)\/(-4))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v - 4*v + 11*v**2 - 57 + 1450*v**3 - 1449*v**3. Let u be j(-10). Solve -4*b - 17 = 5*s, u*s + 0 + 6 = -b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/30 and 137\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1461 or -23\/1178?\nAnswer: -1461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*i - 2*i - 96, -2*i = 3*c + 94. Let x be (i\/(-132))\/(-2*(-2)\/36). Solve 3*f - 4 - x = -4*o, -o - 2*f = -8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 24 - 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 44*s**2 + 804*s + 89. Give u(-14).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - b1b57b0?\nAnswer: -b1b57b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 17*r - 61*r - 39*r - 4.\nAnswer: -83*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 9:35 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 45 = -2*u. What is the smallest common multiple of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2433421.\nAnswer: 2433421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 95*p**2 + p + 16. Let n(z) = z**3 + 94*z**2 - 2*z - 20. What is 4*n(y) + 5*t(y)?\nAnswer: -y**3 - 99*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3\/6)*4*(-89523)\/(-6174)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 6 = a, -a + 67*g - 65*g = 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (8 - 15)) + (39 - (0 + -8))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1941\/20 - -389\/4. Let -2\/5 - 1\/5*v**3 + 1\/5*v + 3\/5*v**2 - t*v**4 = 0. Calculate v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmym when four letters picked without replacement from pymmyympmyyyypyp?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.5 + -16.5. What is the second smallest value in m, 45, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21957 and 16111371.\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 27122, 54218, 81312, 108404, 135494, 162582?\n\"Answer: -b**2 + 27099*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (522\/10 - 2668\/(-3335)) + 42.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 13\/6*h**3 + 0*h**2 + 0 + h. Let k(i) = -6*i**2 + 22*i**2 - 9*i**2 - 9*i**2. Calculate x(k(b)).\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000696178 rounded to six decimal places?\nAnswer: 0.000696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1355 - 1357. Which is the fifth biggest value? (a) 3 (b) -3 (c) 0.5 (d) t (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192 - (193 - 328)) + (31 - 0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.09 (c) 1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9859.43 - 10754.7. What is z rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(130)\/((sqrt(10) + sqrt(10)*4)*-3) + (-4 + sqrt(13) + 0 + sqrt(13) + sqrt(13))*5)**2).\nAnswer: -1792*sqrt(13)\/3 + 742288\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 156599865. Suppose 3*j = -0*j + o. Suppose 69599985 = -4*y + 3*n, -y + j = -2*y + 3*n. Round y to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 219644.3 centuries?\nAnswer: 21964.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 24. Solve m*u = 4 + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10846326707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.02 (b) -4\/7 (c) -3.2 (d) -3\/7 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:22 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35830, 35837, 35842, 35845, 35846?\nAnswer: 35845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2. Let k(q) = -17388*q**2 + 378*q - 189. Let r(h) = -370*h**2 + 8*h - 4. Let s(t) = -4*k(t) + 189*r(t). Calculate s(x(u)).\nAnswer: -1512*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -80.\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 9 = 17. Let o(q) = 2*q - 1. Let w be o(p). Solve w*n - 3*n = -8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/62? (a) -58 (b) 4 (c) 3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04 and -0.866477.\nAnswer: -0.906477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003391 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/262 and -59\/511.\nAnswer: 133882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1394*85\nAnswer: -118490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, g: 3, z: 12, s: 2}. Give prob of picking 2 s and 1 g.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*z**3 + 17*z**2 + 6*z - 7*z**2 + 5*z**2 + 6*z**2.\nAnswer: 3*z*(z + 2)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 10:37 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20132705, -40265414, -60398123?\n\"Answer: -20132709*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 78 - 78 + 2*f**3 - 3*f - f**2 in the form r*f + j + w*f**2 + c*f**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 + -73. Which is the third smallest value? (a) 0.5 (b) -3\/8 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Let s = 82.15 + 0.85. Let i = s + -83.4. What is the smallest value in t, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5dbd (base 16) to base 4\nAnswer: -11312331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2230\nAnswer: -1\/2230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 0.069 (b) -0.3 (c) -3 (d) -58 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -3*n**6\/20 - 11*n**5\/15 + 10*n**2. Find the third derivative of t(z) wrt z.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**2*f**3*i*j**2 + 3*a**2*f**2*i**3 - a*f**3*i**3*j**2 + a*f**3*i**2*j - 2*a*f**2*i**3 - a + 3*f**3*i*j**2 wrt a?\nAnswer: -6*f**3*i*j**2 + 6*f**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*g - 82*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87682185 divided by 45?\nAnswer: 1948493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012829879 to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-12)*(2 + (7 - 9) + 146)*-1\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*c + 14*c - 29*c + 27*c.\nAnswer: 59*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -3, 0, 232, 5.\nAnswer: -9, -3, 0, 3, 5, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0125516 rounded to 4 decimal places?\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 5882917?\nAnswer: 5882921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 13928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38197 - 38197 + 430*k)*(-1 + 2 - 4).\nAnswer: -1290*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -27*n + 164. Determine g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -6*a - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.837203 rounded to two dps?\nAnswer: -3.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 721257.1 nanometers in millimeters?\nAnswer: 0.7212571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 15\/4 + -1 - (-324)\/720\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-256)\/(-160))\/((-70)\/(-25))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1849, -6, 76, -35?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2 + -4 + sqrt(245)*-1)*4)**2.\nAnswer: -15936 - 1792*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*h - 29 = 45, 5*z + h = 163. Let u = -23 + z. Suppose -u*k + 399 = -7*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 3*k**5\/20 - 11*k**4\/4 + 7*k**3\/2 + 441*k**2\/2 + k + 14. Let r(s) = 0. What is s?\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1854 is divided by 617.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125 (base 7) to base 3.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 7. Let g = -11 + 16. Let k(s) = 3*s - 13. Let l(y) = g*i(y) - 3*k(y). Let u be l(-4). Sort -2, 4, u in increasing order.\nAnswer: -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.2. Let k = 250 - 250. Suppose f + 3*g - 19 = 0, k*g = -2*f - g + 13. What is the second biggest value in j, -3, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 9*x - 2*x. Solve -5 = 2*b - x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1637*n**2 - 1643*n**2 + 416*n**3 + 3280*n**2.\nAnswer: 416*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z = 130*z + 32*z + 2556 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9 + 7)*(-10*o - 17*o + 7*o)*(0 - 1 - 1)*(3*o + 0*o - 4*o).\nAnswer: -520*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6500 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 24.1. Let v = -427\/1005 + 5\/201. Which is the nearest to v? (a) -1 (b) 0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5124\/63)\/(((-16)\/15)\/(352\/440)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*y = -540*y - 255 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27408164 divided by -4.\nAnswer: -6852041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 3*g + 2. Let a be i(-2). Let l(q) = 2*q - 4*q + a*q - q. Let n(o) = -3*o**2. Determine n(l(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/8 + 287*a**2\/8 + 1810*a + 6951\/2 = 0.\nAnswer: -42, -2, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3329 - -3329. Solve q = -5*y + 3*t + 6, -3*y = -t - t - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2498 = 4*p - 2*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (810\/(-7830))\/((9\/(-12))\/(2\/8))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-26)\/(-39)) - -21?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2108 at most as big as -4215\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1003 and -0.0237175.\nAnswer: -23.7886525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.03042 + -0.09258. Round c to 1 dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + (sqrt(720) + 1)*-6 - (sqrt(720) + 4 + (sqrt(720) - (sqrt(720) - (sqrt(720) + 0)))))*-5 + 3)**2*2.\nAnswer: 89040*sqrt(5) + 1769618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 17*h - 3*h - 33 + 36*h. Is d(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -1\/24*q**4 + q**2 + 0*q - 1\/3*q**3 + 1\/360*q**6 + 0 + 0*q**5. Let j(f) be the first derivative of i(f). Determine j(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 9*f**2 + 20*f + 1. Let p(x) = -2*x**3 - 10*x**2 - 19*x. Let n(q) = -7*c(q) - 6*p(q). Is n(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976667 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -9. Let l(w) = -w**3 - 7*w**2 + 3. Let g be l(m). Find the third derivative of 6*u**g - 2*u**2 + 3*u**2 + 0*u**2 + 0*u**2 wrt u.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -530 + 266. Suppose 9*h - 51*h - 7644 = 0. Let c = h - l. What are the prime factors of c?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.6 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 3:53 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 415 + -287. Suppose 0 = -v - 2*b + 44, 3*v = -v + 4*b + h. What is the remainder when v is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**7\/1260 - 19*h**4\/12 - 20*h**2. Let g(x) be the second derivative of a(x). Let i(t) = 3*t. Give g(i(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66440.\nAnswer: 2, 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -25*m + 144. Let w(j) be the first derivative of 3*j**4\/4 - 2*j**3\/3 - 3*j**2 - 7*j - 3. Is w(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 + 6*k**2 - k + 8. Let o(l) be the second derivative of -l**5\/10 - l**4\/4 + l**3\/6 - 2*l**2 - 17*l. Let b(r) = 5*o(r) + 2*v(r). What is b(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2006, 2012, 2018?\nAnswer: 2024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + -13 + 16 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/2*(2 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -136*t**3 + 3*t + 2. Let h be j(2). Calculate the smallest common multiple of 10 and h\/(-75) + (-2)\/5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -349818 + 0?\nAnswer: -349818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbibjibvbjbbbjjbbi. What is prob of picking 2 i, 1 b, and 1 v?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30572, 61203, 91894, 122645, 153456, 184327, 215258?\nAnswer: 246249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**8\/10080 - l**6\/1080 - l**4\/12 + 2*l**2. Let f(g) be the second derivative of c(g). Factor f(r).\nAnswer: 2*r*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - b + 11 - 2*b.\nAnswer: -5*b + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1012 = -1364. Let h(x) = x**2 + 24*x - 156. Let q be h(-21). Let n = a + q. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*g + 1. Let d(c) be the second derivative of -115*c**4\/6 - c**3\/6 - c**2\/2 - 3*c. Let v be d(g). What is v rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/9957986 or 0?\nAnswer: 3\/9957986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 70 - 8*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpqreqeeqerreeeeeqee. Give prob of sequence eqe.\nAnswer: 55\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**4\/12 + t**3\/3 + t**2\/2 + 2*t. Let r(a) = 3*a - 19. Let n be r(7). Let j(k) = -k**2 - 2*k. Give n*z(d) + 3*j(d).\nAnswer: -d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -0*c - 4*c. Let g be (-14)\/((-376)\/c + 4). Suppose -13 = -4*l - g. Which is smaller: l or -36?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 9:56 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-6)\/g*g*g*g**(-1))\/(g**(-1\/3)\/g**(-3)) assuming g is positive.\nAnswer: g**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**5\/60 + 7*j**4\/12 - j**3 + 7*j**2. Let a(l) = l**2 - 15*l + 6. Let w(x) = -4*a(x) - 5*h(x). Does 27 divide w(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-36))\/((-1)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-5) - 11403\/(-15). Calculate the remainder when 278 is divided by (-2)\/(-10) + h\/55.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10092197.\nAnswer: 10092197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((3128\/69)\/(-34))\/(2\/(-3)). Let n(p) be the first derivative of 13 + 4\/21*p**3 - 10\/7*p**k + 16\/7*p. Find h such that n(h) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/22 + 114\/4. Suppose -6*a + 3*q + 25 = -a, 4*a - t = 4*q. Suppose -a*l - o + 2*o = 6, -l = 4*o + 12. Is l at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((9\/(-3) - -1)\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 + 10*r**3 + 6*r**3 - r - 11*r**3 in the form o + h*r**2 + d*r**4 + u*r**3 + z*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 13*k**2 + 12*k + 1. Calculate the least common multiple of 5 and d(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81958760 and 2493.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*s = -1716 + 2628 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.13 (b) 0.1 (c) 4 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.32768 to 1 decimal place.\nAnswer: 131.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(4\/3)\/u*u*u)\/(u**3\/u)*(u*u\/((u\/(u\/(u*u*(u**1*u)\/u))*u)\/u))**(-1\/27) assuming u is positive.\nAnswer: u**(37\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9236*j**5 + 28988*j wrt j.\nAnswer: -184720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/4)\/(378*4\/(-4256)). What is g in 40\/9 + a*g - 2\/9*g**2 = 0?\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, u: 2, j: 1, m: 1, f: 5, y: 5}. What is prob of sequence yjm?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1452 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 1. Let g(f) = -7*f + 1. Let z be g(0). Determine a(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-40)\/12 + 5)\/((-20)\/(-72)). Let g(t) = -11*t - 8. Let h(d) = -11*d - 9. Determine s*h(m) - 7*g(m).\nAnswer: 11*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*v + 3*v. Let d be (2\/(-2))\/(v\/(-8)). Solve -3*u - 23 = -3*z + 7, -3*u - d*z + 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-24) + 3\/(-6). What is the closest to 0.04 in 5, 220, 1\/12, b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1013*320.\nAnswer: -32.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = -3*f - u + 3*u, 4*u - 8 = 0. Let b = 1477\/8 + f. What is the third biggest value in -1, b, -0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.5, -4, 0.3, 0, -2225 in descending order.\nAnswer: 0.3, 0, -0.5, -2\/3, -4, -2225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1498 = 2*y - 4*q, 3*y - 1511 = 2*q + 724. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 6:27 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57715636 - -1.3419.\nAnswer: -57715634.6581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/114 and -5?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3. Let v(y) = 2*y**2 + 3*y + 3. Let o be v(-2). Let r(p) = 3*p**3. Let z(a) = 11*a - 30. Let d be z(3). What is d*r(q) + o*b(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -380, 17, -4, -5, 3, 5 in decreasing order.\nAnswer: 17, 5, 4, 3, -4, -5, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/((-3)\/(-1))*(136272\/(-288))\/(-167)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - d + 3. Let c be r(4). Let u = 29 - 29. Suppose -11*i + c*i = u. Solve i = -3*k, 20 = 8*o - 3*o + 4*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 244961 + -8 + 6 - -8. Suppose 36*r = 55*r - f. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 6*u = 0. Let x be u\/(-2) - 0 - 4. Let g be ((-1 - -2) + (-14 - -11))\/2. Sort 2, g, x.\nAnswer: x, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01994 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 1959*y**3 + 471582*y**2 + 49784916*y + 1949899128.\nAnswer: 3*(y + 142)**3*(y + 227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**5\/60 - 5*l**4\/24 + 4*l**3\/3 - l**2. Suppose 1206*k - 1071*k = -810. Calculate a(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42, -44, -46, -48, -50?\n\"Answer: -2*r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 - -113. What is the third derivative of -45*i**2 - 38*i**d + 6*i**6 + 11*i**2 wrt i?\nAnswer: -3840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 493\/455 - -3\/182. What is the common denominator of d and -95\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**4\/12 + l**3\/3 + l**2. Let z be q(2). Is 6 a factor of z\/9 - (-56)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31188 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3222 - -3206.056. Let a = -16 - v. What is a rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**3\/3 - 9*n. Let k(v) = -10*v. What is w(k(d))?\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/452102 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1336 = -2*g - 3*q - 113, -619 = -g - 3*q. Let d = g + -353. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/12 (b) -1.56 (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/((-67)\/(-16) + -10 + 6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2. Let v(q) = -491865*q**2. Give x(v(f)).\nAnswer: -483862356450*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.246 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/4 - 13*w**3\/4 + 4*w**2 + 3*w - 4 = 0. What is w?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*m - 3 = -9, 5*s = -2*m + 31. Suppose 2*h - 2*a = 4*h, -4*a = -h + 20. Suppose h*p - 9*p = -10. Solve 13 = s*i - p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.36 (b) -5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 85 + 550 = 0. Let p = 389 - t. List the prime factors of p.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 n when three letters picked without replacement from rlllalyxynaa?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i - 2. Let t be f(-2). Suppose 2*b - 2 = s + 5*b, b = s - t. Calculate the lowest common multiple of s and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2))**(-2\/53)\/((h*(h*h\/(h\/(h\/(h*(h*h**0*h)\/h*h))*h))\/h)\/(h\/h**(-8))) assuming h is positive.\nAnswer: h**(584\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (7 - (-6 + 12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l. Let d(c) = 31*c + 6. Let w(a) = 63*a + 10. Let v(q) = 5*d(q) - 2*w(q). Determine p(v(t)).\nAnswer: -58*t - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h + h - 3*h)*(-747*h + 16*h**2 - 753*h - 875*h**2 + 1498*h) to the form q + s*h + a*h**3 + z*h**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.572 + -1.542. Let u = 88 - 2022\/23. What is the third biggest value in 5, -4, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 9*b - 10*b - 8)*(3 - 3 - 2*b**3) to d + k*b**4 + p*b**2 + l*b + x*b**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 406*v**5 + 9115*v**4 - 30461907*v**2 wrt v.\nAnswer: 24360*v**2 + 218760*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 5\/12*c**4 + 0 - 3\/2*c**2 + 2*c + 0*c**3. What is the derivative of o(j) wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5819*v + 14773 = 5681*v - 11687*v for v.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 3*p - 2. Let z be s(1). Suppose z = -i + 6*i - 495. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138 divided by -2\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59597723 to the power of 1\/2, to the nearest integer?\nAnswer: 7720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/3*(-8)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 94*f - 67. What is the units digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 772 and 21809?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24840 and 1150.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -1\/210*y**7 + 0*y**3 + 0*y + 0 - 1\/120*y**6 + 1\/60*y**5 + 1\/336*y**8 + 0*y**4 - y**2. What is s in m(s) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 4:12 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 147\/(3\/1)*3. Let u = r - 88. Suppose 3*x - u = -f, 0 = -3*f - 7 - 5. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87768926.\nAnswer: 2, 7, 17, 239, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*r = 4 + 2, 2*o + 10 = 2*r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -32*i**3 + 7*i**2 + 77*i - 29. Is z(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -672\/5, -1820 in increasing order.\nAnswer: -1820, -672\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 55*28\/350) + ((-47304)\/(-45))\/(-12).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/1)\/(-4)*3. Sort 4, p, -4, 1.\nAnswer: -4, 1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - f - 2272 = 2*n, 0 = -3*n - 3*f + 6786. Suppose -30*g + n + 2713 = 0. List the prime factors of g.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 26. Suppose -5*g - 5*p - 4 = -2*p, -2*g - l*p - 13 = 0. Let h = 2.15 + -1.65. Put 1\/5, h, g, -6 in decreasing order.\nAnswer: g, h, 1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:04 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -63820.\nAnswer: -25528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 377041061 a multiple of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1474, -5921, -13348, -23755, -37142?\n\"Answer: -1490*a**2 + 23*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2305 + 9139\/4. Let v(l) = -99*l**3 - 2*l**2 - 2*l - 1. Let b be v(-1). What is the common denominator of j and 28\/b - 646\/(-140)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564904 is divided by 140899?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - c. Let u(m) = -34*m**3 + 2*m**2 + 4*m. Let z(o) = u(o) + 5*w(o). What is the third derivative of z(g) wrt g?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - f**3 - f + (5 - 1 + 4)*(f**3 - 3*f**3 + 0*f**3 + (-f**2 - 2*f**2 + f**2)*(-38 + 38 + 11*f)) + (-2*f + 3*f - 3*f)*(3*f**2 + 4*f**2 - 6*f**2).\nAnswer: -195*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.584 - -11.57. Which is the closest to 0.2? (a) 0.4 (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 41*v**2 - 8*v + 157. What are the prime factors of t(40)?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23721 + 42585. What are the prime factors of x?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 6 = 2*o, -2*o + 7 = -i + 13 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2274 and 127\/75522.\nAnswer: 28622838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337621 is divided by 48229.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 6*h - 3. Let a be l(-2). Suppose a*r + 553 = 1488. Calculate the greatest common divisor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7221887?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83802 or -6\/59?\nAnswer: -6\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 20*j + 221. Let u be d(-11). Is u less than or equal to 1\/265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3\/(-6))\/(8 + 25685\/(-3210)) is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2299) + sqrt(2299))*-5 + 5)**2 + ((4*sqrt(190) - sqrt(190))*-1)\/sqrt(10) + -3.\nAnswer: -2203*sqrt(19) + 229997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -110*u**3 - 95 wrt u?\nAnswer: -330*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 57.748ml?\nAnswer: 0.057748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -3*v**5\/50 - v**4\/5 + 29*v**3\/5 - 126*v**2\/5 - 13*v - 2. Determine f, given that r(f) = 0.\nAnswer: -7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -1\/6*f**4 + 0 - f + 0*f**2 + 0*f**3. Let x(v) be the second derivative of -v**4\/6 - v. Determine b(x(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.3 + 0.3. Let i(o) = o**2 + 6*o + 6. Let s(t) = -t**2 - 3*t. Let z be s(-4). Let d be i(z). Which is the second smallest value? (a) d (b) n (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5003194 * 36.\nAnswer: 180114984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/4 - n**2\/2 + 2*n. Let l be g(1). Let y(d) = d**2 + d - 2. What is y(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1221574*g. Let z(q) = -2*q**2. Determine a(z(j)).\nAnswer: -2443148*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b**3 - b. Let c(i) = 577*i**3 - 1948*i**2 + 5*i. Let y(t) = -c(t) - 5*r(t). What is the third derivative of y(m) wrt m?\nAnswer: -3162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*m = 16, 4*m - 32 = -17*s + 11*s. Factor s - 590\/3*p**3 - 15*p + 100*p**4 - 15*p**5 + 100*p**2.\nAnswer: -5*p*(p - 3)**2*(3*p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 572*t - 566*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + -1 - (-1746 - -1740)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(20\/3)\/(u\/(u\/(u\/u**(-21)))*u) assuming u is positive.\nAnswer: u**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 56. Solve c + 10 = -l*g + 3*g, -c + g = -5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4571, 4 in increasing order.\nAnswer: -3, 4, 4571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 516276854 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 94291, 188002, 281709, 375412, 469111, 562806?\n\"Answer: -2*v**2 + 93717*v + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-seven halves of a millennium?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/606 and -13\/248864?\nAnswer: 746592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z - 10, 2*w - 37 = 5*z. Calculate the highest common factor of w and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(105\/(-10))*3. Let b(p) = -p**2 + 4*p - 1. Let m be b(3). Let k(g) = -5*g**2 - 2*g**x + 6*g**m. Let r(f) = 7*f. Calculate k(r(s)).\nAnswer: -49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:31 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 41*v + 184. Let x be b(-45). Solve 0 = -4*m + 4*u - x, -m - u - 17 = -6*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*j + 4 + 7, 4*v - 16 = -4*j. Suppose 3 - v = o. Solve 0 = -2*y - o*d - 2, 2*y - 4*d - 18 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 174148, -2, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 10:14 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/6)\/(7\/21))\/(-5)*35.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 6:02 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 21*t**2 + 30*t + 630. Let q be k(-21). Sort -1, 5, q, -84, -5 in decreasing order.\nAnswer: 5, q, -1, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379 = 7*h - 421 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -5 + 0 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 = -5*g - 3*z, -5*z + 0*z = -g + 117. Let m be (1\/(-8))\/(g\/(-16)). Let o = m + 87\/230. Is 2 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 115276416 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/4*(-606)\/(-3) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/sqrt(4) + -3 + sqrt(2592) + sqrt(2592)*2)**2 + ((-1 + sqrt(4608) + sqrt(32))**2 - (sqrt(32) + sqrt(128)\/sqrt(4) + sqrt(32) + sqrt(32))*4).\nAnswer: -840*sqrt(2) + 30506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3108\/576)\/(-37)*225\/350.\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*b**4 - 19*b**3 + 287*b**2 + 1 wrt b?\nAnswer: -312*b - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 119463.\nAnswer: 7884558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22763.\nAnswer: 13, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3312 divided by -9\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3578.59 - -3559. Let j = c + 19.6. Let u be ((-2)\/4)\/(39\/(-12)). Sort j, u, -1\/8, 2 in increasing order.\nAnswer: -1\/8, j, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139405?\nAnswer: 5, 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 29 = -2*t, -2*t - u = -0*t - 33. Suppose 129996 = -5*h + o, 4*o = -t - 0. Round h to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 598*c + 10 = 597*c - 0, -j + 12*c - 48 = 3*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1794 and -121\/2990.\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 4*n + 2*n - 1)*(n**2 - 5*n**2 + n**2).\nAnswer: 18*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -575304000 rounded to the nearest 1000000?\nAnswer: -575000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 6*n**2 - 3*n - 25. Determine z(8).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - l + 24 = 0, -4*l - 503 + 549 = 3*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.091 - 1.091. Put 0.3, c, 3 in decreasing order.\nAnswer: 3, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 679*p**2 + 105744*p + 2432. Give n(242).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - 19 + 16 + 22*n in the form l + a*n and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-9))\/(13\/15 + -1). Let q = 0.5 - 0.1. What is the nearest to -0.02 in 0.2, r, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -437, -555, -891, -1553, -2649?\n\"Answer: -18*g**3 - g**2 + 11*g - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/505 and 13\/360.\nAnswer: 36360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z - 16 = 0. Suppose 633 + 656 = -o - z*p, 20 = 4*p. Let h = -7949\/6 - o. Find the common denominator of 41\/6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 + 215 - 4*q**2 - 660 - 23*q**2.\nAnswer: -21*q**2 - 445","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 494*o - 3454. Calculate p(-240).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 0*c**4 - 1\/735*c**7 - 1\/21*c**3 + 0*c + 0 + c**2 + 0*c**6 + 1\/105*c**5. Let o(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1500*r**6 + 24*r**2 - 3*r.\nAnswer: 180000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*z - 4*z + 245 = 0, 3*z - 245 = -5*p. Suppose 2*j + 3*i = p, -i + 0*i = 3*j - 63. Calculate the highest common factor of 50 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*9\/(216\/(-12))*19\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, 2, -3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21469 divided by 4?\nAnswer: 21469\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11077239?\nAnswer: 3, 73, 50581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**6\/18 + 35*a**5\/12 - 1429*a**2 + 2*a. Factor n(i).\nAnswer: -5*i**2*(4*i - 105)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -128, 3.\nAnswer: -128, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -w + 15, 5*x - 21*w = -20*w + 5. What is the nearest to -1 in -0.1, 3\/8, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104613 (base 8) to base 7.\nAnswer: -204441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.4 (b) 2\/9 (c) -16\/167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4793?\nAnswer: 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 6*c + c, 0 = b + 5*c. Suppose -8*y = -b*y - 656. Suppose t + 3*i = y, 4*i - 67 = -t + 17. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + (-1 - (-140)\/36) and -2 + ((-464)\/(-44))\/4?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**2 + 21*k**2 + 27*k**2 - 113*k**2 - 19*k**2 - 131*k**2.\nAnswer: -243*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 10253346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.07, -3, -30, -6?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 5:46 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, u: 2}. Give prob of sequence uff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**4*l*l**10*(l**(4\/3))**(4\/37) assuming l is positive.\nAnswer: l**(1903\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98566 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3\/5 + 316*f**2\/5 - 25568*f\/5 + 19456 = 0.\nAnswer: 4, 152, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -7703?\nAnswer: 1\/7703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -238 - -243. Suppose f + 3 = -p + 6, 0 = -2*p + t*f - 15. Solve 2*k = 2*n + 6, k - 3*k + 3*n + 9 = p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 70 + 8)*(14*b + 318 - 318) in the form s*b + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.31 + 8.21. What is the nearest to 0 in 0, x, 3, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 50 + 53 = 0. Let i(r) = -r**3 + 4*r**2 - 2*r + 1. Determine i(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251660 is divided by 156?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 - 1 + 0*g**3 - 3*g**3 - g)*(3*g - 2 + 2).\nAnswer: 3*g**4 - 3*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 45*b**2 + 200*b - 2516. What is h(-38)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 30. Let i = q - -31. Solve 0 = 3*s - b - 14, -s - 2*b = -3*s + i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -644\/9 (b) -3 (c) -0.1 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -67*k**8\/336 - k**4\/24 + 25*k**3\/2 + 245*k**2 + 2*k. What is the second derivative of i(t) wrt t?\nAnswer: -1340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 225*x**2 - 3315*x - 15895.\nAnswer: -5*(x + 11)*(x + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -12*r - 90 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*j + 4 = 0, 2*o - 5*j + 4 = -7*j. Let l be (o\/(-7 - -3))\/1. Suppose -3*s - 43 + 316 = l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d + 11 = 0. Suppose -d - 5 = -4*n. Suppose v - 2*p = -2*v + 52, -n*v + 4*p = -68. What is the lowest common multiple of v and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l + 24. Suppose l = 2*s - 6*s. Let n be 2\/(-3)*(18\/(-4) + s). Is 5 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 1 - (-4 - -2). Suppose 4*w = b + 5. Let v be (-170)\/(-15) + -7 + 2\/(-6). Solve 0 = -2*r + 4*x - v, -2*r + 2 = w*r + 2*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-15)*3\/(-2). Let k be 3 + ((-65)\/20 - -1). Factor -k + 11\/4*i + i**s.\nAnswer: (i + 3)*(4*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*k - 60*k + 58752 = -791*k - 770*k for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4571193.99961 - 4571160. Let q = o + -34. What is q rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a - 61. Let b be w(-22). Let q(v) = v**2 + 18*v - 144. Let l be q(-24). Solve l = -b*f + 4*i + 5, -i + 4*i - 15 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 5\/2, -21, 13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 257437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 2*x - 30, 5*z + 25*x - 28*x = -35 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -1 - (-20 - (-20 + -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32422 - 1?\nAnswer: 32421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*a**2 - 298*a**2 - 720*a**2 + 154*a**2 - 297*a**2.\nAnswer: -1586*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -9395000 to the nearest one hundred thousand.\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -461, -1689, -3745, -6635, -10365?\nAnswer: -14941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.52 - 0.48. Are 6\/17 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -2\/5 (c) -22\/43 (d) 0.3 (e) -1920\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-584)\/(-7154))\/(10\/490)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 34120*g + 525. What is the thousands digit of q(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1011 = 7*z. Suppose 3*s - 5*l = z, -5*s - 25 + 560 = 5*l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 2*n**6\/15 + n**5\/30 + 2*n**3\/3 + 580*n**2. Let w(u) = 15*u**3 + 2*u**2 + 3. Give -3*s(h) + 4*w(h).\nAnswer: 12*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452202742?\nAnswer: 2, 29, 7796599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 496375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 175379?\nAnswer: -2\/175379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o = -200 + 110 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:50 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 475014300?\nAnswer: -475014300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 3, 19626 in decreasing order.\nAnswer: 19626, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -31. Solve -y*r = 15, 5*t = t - 5*r - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/9 - 32*x**2\/9 + 382*x - 748 = 0.\nAnswer: -51, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + v)*(49 + 6*v - 46 + v)*(v**2 - 2*v**2 + 2*v**2) + v**4 - 2*v**4 + 2*v**4.\nAnswer: 8*v**4 + 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21884018.6 - 0.08562.\nAnswer: 21884018.51438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-972)\/(-63) + (-6)\/14. Suppose 3*x + m = -4*k - 13, 5*x = 4*k - 4. Let i be (8\/(-20))\/(3\/15). Sort x, i, -5, 0 in increasing order.\nAnswer: -5, x, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**3\/3 - 42. Let b(c) be the first derivative of -2\/3*c**3 - 27 + 0*c**2 - 21*c. What is h(b(u))?\nAnswer: 4*u**4 + 84*u**2 + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -748*d + 7551 = -18629. Solve 2*h = -d + 53 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-28)\/6)\/(2\/(-45)). Let h be ((-12)\/y)\/((-12)\/42). Let o = -356 + 4626\/13. Put h, o, -0.4 in descending order.\nAnswer: h, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/60 - 1165\/(-6). Suppose d = 2*o - 100. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 7*q**2 - q - 7. Let w be c(4). Suppose -940 = -w*i + 27*i. Calculate the remainder when i is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.2 * 485.\nAnswer: -2522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 226.33384533 and -0.38.\nAnswer: 225.95384533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8960676799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 46\/10 + 5\/(0 + -5). Let l = -1448\/5 - -292. What is j in l*j - 2\/5*j**2 - p = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.3 (c) 133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 1\/48*d**4 + 1\/24*d**3 + 0 + 4*d**2 + 0*d + 1\/240*d**5. Factor l(j).\nAnswer: (j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.741708 + 48.741685. Let x = i + -48. Round x to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*a + 2 = -2, 30 = 2*n - 5*a. What is the second derivative of 4*z - z**5 - 2*z**n - z wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -143?\nAnswer: 57.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*l**2 - 105*l**2 + 150*l**2.\nAnswer: 184*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 - 113. Suppose -c*i + 213 = -157. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*-4*63\/36. Let r(p) = -p + 2. Let j(s) = s - 2. Determine h*j(f) + 6*r(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 68. Solve -k = -2*p, 3*i + p = 6*p - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.013\nAnswer: -0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*p - 11*p**2 + 23*p)*(4 - 4 + 3*p) - p**2 + 35*p**3 + 3*p**2 - 7*p**3 + p**2.\nAnswer: -5*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsjzjsg. Give prob of sequence jz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 22 = -8*m + 4*m, -3*m - 3*l = 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**3 - 6*c**2 - c - 2. Let z(q) = q**3 + q**2. Determine k(o) + 4*z(o).\nAnswer: -o**3 - 2*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 4*f + 4. Suppose 9 = 3*p + 3. Let o be n(p). Find the second derivative of -14*u**4 + 5*u**4 - 6*u + 3*u**o wrt u.\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3757676940 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*g + 5047 + 3124 = 300*g + 3061 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -6)*1\/2 + -5. Which is the closest to 0? (a) -1 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + 0.16. Which is the closest to -1? (a) v (b) 2 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 32\/13 (c) 5 (d) -4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 111.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -472.\nAnswer: -27\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1127 = -3*u + t, -78 - 307 = -u - 2*t. Is u a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 3:53 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18360 + 18360. Solve -12 = 3*s + 4*o, -4*s + 69*o - 67*o + 6 = r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 791, 811, 845, 899, 979, 1091?\nAnswer: 1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 20. Let h be p\/10 + (-10)\/25. Let k be (-3)\/6*(-1 + h). Solve 2*j + 0*j + 6 = k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -8. Let o(y) = 12*y**2 - y. What is the remainder when 19 is divided by o(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/11, -3\/4, -2\/7, -1\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 6, -13*r + 5*t - 63238 = -17*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 962639 is divided by 120?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/3519 and -191\/33120.\nAnswer: 563040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2*v + 3*v)*(2*v + 3*v - v)*(1 - 1 + 2*v + ((3 - 3 + 2*v)*(-3 + 0 + 1) + 0*v + 4*v - 2*v + 0*v + 3*v - 4*v)*(2 - 4 - 8)).\nAnswer: 256*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4316*q - 5340*q + 2624*q.\nAnswer: 1600*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 44?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20872 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12798 - -5.12798. Which is the third biggest value? (a) 0.3 (b) t (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*h = -447*h + 176*h - 13368 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - 2*w**2 + 2*w**2 + w**3 - 3*w**3 - w**3 + 3*w**3 + (-w - w**2 + w)*(2*w + 4 - 4) - w**3 + 0*w**3 - w**3.\nAnswer: -4*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 7*w**5\/4 - 5*w**4\/4 + w**3\/6 + 39*w. Find the third derivative of h(v) wrt v.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 2:50 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 1. Let g = p - 12. Let u be (-3)\/g*3\/2. What is the closest to 0 in u, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3298, -3301, -3306, -3313, -3322, -3333?\nAnswer: -3346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-1 + sqrt(539))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(5*2\/96). Let n = q + 38. Let l = 0.31 + -0.21. Put -1\/8, n, l in increasing order.\nAnswer: n, -1\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 24*n - 25*n. Let w = n - -32. Suppose 3*p + p = 156. Calculate the greatest common divisor of w and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -5471.4 - -5471. Which is the second smallest value? (a) -1\/7 (b) -3\/4 (c) -0.02 (d) -2 (e) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1392*0.2.\nAnswer: -278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -176, -601, -1436, -2819, -4888, -7781, -11636?\nAnswer: -16591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21458441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - t - 2*o - 16, 4*t - 4*o + 16 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 16*o + 19. Is 4 a factor of g(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -139*f + 1299. List the prime factors of s(8).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 - 93*f - 17. Let w be c(27). Is w > 388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h - 12 = 0. Let a be h\/9*(-9)\/(-2). Let x be 26\/14 + 10\/70. Solve 0 = x*t + a + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 45955, 1, 0.0824?\nAnswer: 0.0824","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 1934.\nAnswer: -54152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 1100.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + a + 68. Let g be f(0). Let q be (g\/11)\/(-4) - -1. Suppose 0 = -4*r + 5*l - 14, -5*r + 3 = -l + 5*l. Is r greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*u + 16 = 0, 0*a - 5*u + 20 = 3*a. Let k be 2\/(-8) + 7\/28. Solve k = -3*b - a*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3696885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*1\/(((-150)\/5)\/15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.6 + 4.7. Which is the second biggest value? (a) w (b) 5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x + 20 = 0. Suppose 22*m - 24*m + 20 = 0. Let p be m\/(-6)*540\/(-225). Put -2, p, x in decreasing order.\nAnswer: p, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-2 - sqrt(68) - sqrt(68))\/sqrt(4) + -3 + sqrt(68)\/sqrt(4).\nAnswer: -3*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -3. Let u = 3 - a. What is the remainder when 29 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wbwbbwwwwwb?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -0*s - w, 4*w = 2*s - 6. Suppose y - 17 = -2*y - s*c, 4*c - 14 = -2*y. Calculate the remainder when 118 is divided by (0 - 5\/(-2))\/(y\/(-16)).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/(-1)*(-6*1 + 3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 8. Let t be 4 + 5\/(3 - -2). Let q be g(t). What is the biggest value in -1, -2\/35, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1191*n**2 + 46*n + 46. Is i(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmffbbbfbmbbb. What is prob of picking 3 b and 1 f?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 4)*(-2)\/(-3). Suppose s*v - w + 4*w = -8, -2*v - 2*w - 6 = 0. Let y be 2 + v + (-1 - 0). Solve -5*q + 9 + 1 = y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.510316079 rounded to 3 decimal places?\nAnswer: -7.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*v + 10, 4*v - 3*v + 5*k - 8 = 0. Suppose -8 = -v*p + 19. What is the smallest common multiple of 33 and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (7 - (9 + -2 - 1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3 - 660*f**2 + 46282*f - 739680 = 0.\nAnswer: 23, 67, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -776.0635 + 0.0635. Let o = j + 729.5. What is o rounded to the nearest integer?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -290*b + 588. Calculate the least common multiple of i(2) and (-10)\/2*(-36)\/15.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1684 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*f + 63*f = -3*c, 0 = 5*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0742 + 95\nAnswer: 94.9258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 2:46 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 27*y**3 - 9*y - 9. Let f(o) be the third derivative of -7*o**6\/120 + o**4\/12 + o**3\/3 + 2*o**2 + 301. Calculate -9*f(c) - 2*u(c).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/3 + (-3)\/(18\/(-4)). Which is the nearest to 0.1? (a) -4 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 3888\/2603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence poz when three letters picked without replacement from pjoqrqpzo?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-5) + 1 + 2*-3)*-5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 6 - 10. Suppose -1 = 2*k - 5. What is the second derivative of 7*o - 2*o**k - a*o + 4 - 4 wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -79 (c) 2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3 - 3. Suppose -35 = d - c*d. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 18. Let y(q) = -9. Let z(f) = -2*t(f) - 5*y(f). Suppose -13 = g + 4*c + 2, -3*g + 35 = -4*c. Is z(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185\/591 + -4\/197. What is the nearest to 0.2 in r, 1\/3, 4\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216 + -221 - (18 - 1)*(3 - 4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4649 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 25*z**2 + 26*z - 48. Let q = -35116 - -35140. Calculate f(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28141847*r = 28142029*r - 11284 for r.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**9\/83160 - y**8\/18480 + y**7\/13860 + y**4\/6 - 5*y. Let w(x) be the third derivative of n(x). Find t such that w(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 5 - 29)*(2*j + 5*j - 5*j).\nAnswer: -70*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 b, and 1 p when three letters picked without replacement from {b: 1, c: 2, p: 1, r: 1, n: 1, g: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -28, -0.2, 28, -1, 249 in increasing order.\nAnswer: -28, -1, -0.2, 3\/5, 28, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 30*x + 11. Let o(p) = -28*p - 13. Let m(j) = -3*n(j) - 2*o(j). Let y(z) = -4*z. Determine y(m(g)).\nAnswer: 136*g + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/(28\/210). Suppose -i*u = -97 - 13. Calculate the remainder when 61 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/10)\/((-8)\/80*2). Suppose -g + 18 = j*t, 3*g - 40 = -0*g - 5*t. What is the remainder when g is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 11:37 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 3*m = 3*k + 919, -4*k = -4*m - 748. Let c = 24 - 14. What is the units digit of (-1)\/(-2) + k\/c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/25*(-4)\/(-72)*-69?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 5 - 4)*(1 + 3 - 3) - 2 - 7 + 2 + 2 - 2 + 1)*(-4*g + 4*g + 14*g) to the form v + p*g and give p.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -818350 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 13 - 5 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/(2054\/(-390)))\/(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 349 = n + 4*d, 275 = 4*n - d. Suppose -4*c = -5*r - n, c - 2*c - 2*r = -27. List the prime factors of 6\/(-105)*-5 - (-2262)\/c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 5*q**2 + 5*q - 4. Let x be a(-6). Solve 4*j - x*j - 3*n - 6 = 0, -2*n - 8 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 886263 to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 1:34 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -474 (b) 2 (c) -4 (d) -0.1446 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 27958*t**2 - 6*t - 7. Let q be j(-1). Suppose 10*k = 4743 + q. What is k rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 0) + -5 - -8. Let f(v) = 98*v - 14. Is f(u) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120979150.\nAnswer: 2, 5, 2419583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.123285 to four dps.\nAnswer: -0.1233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 927.89379?\nAnswer: -927.99379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -1 - (-1 + -1). Suppose -38 = -4*b - u*n, -3*b + 25 = 3*n - n. Let k be 2\/(-4) + 145\/10. What is the highest common factor of k and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/(4\/8)*6*(-26)\/936?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 14 = -u - 15, 3*u + 2*r = 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21*3*(-5)\/25 and -19\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 m, and 2 x when four letters picked without replacement from qxxmamqqqfxq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 11, -8, -0.2, -6, -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 20. Let y be (-3)\/((190\/37145)\/((-4)\/6)). Calculate the highest common divisor of q and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1341 < -1343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*j - 152 + 98, 5*h + 34*j = -25 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 6*z + 3. Let s be w(-5). Let r(u) = -10 - 12*u**2 + s*u**2 + 5*u**2 - 2. Give r(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49\/4 + -12. Let d(s) = s**3 - 4*s**2 + s - 4. Let f be d(4). Suppose -3 = -2*a + 1. What is the nearest to m in f, 1\/5, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-18)*6*(-7)\/525*10?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v**3 - 16*v**3 - 27*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8100*c + 2. Let y be h(-2). Let b be (-2)\/9 - y\/(-9). What is b rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 243, -3, 695 in ascending order.\nAnswer: -3, 243, 695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/9 in 4, 0.5, 20, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0) + 7 + -2. What is the second derivative of 6*o - 2*o + 2*o**r + 3*o**4 wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 21, 26, 31, 36, 41?\n\"Answer: 5*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 11 + 0 = -2*v, n - v = 7. Let d be 0*(4 + -1)\/n. Let c(h) = 2*h. Let y be c(2). Solve -b - k + 3*k - y = d, -5*b + 4*k = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - (-58)\/8. Suppose 4*t = -4*s + 12, -3*s + t + 3 = -2. Suppose -l - s = -3*w. Solve 0 = -w*z + z - 5*o + 19, z - 5*o + 28 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124 - 124. Which is the second biggest value? (a) -9 (b) r (c) -2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 24039486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 + 6*d**2 + 5*d = 0. Calculate d.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*g - 137*g + 64*g = -442918. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 0 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 225 + 7a5a7a?\nAnswer: 7a61a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-2\/7)*d)*d*(d*d\/((d\/d**(3\/4))\/d)*d)\/d)\/(d\/(d*d**2)*d*d)**(-16)*(d**(-12)\/(d*d\/d**(-3)))**(-4\/19) assuming d is positive.\nAnswer: d**(3519\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -273, -618, -1101, -1722, -2481, -3378?\nAnswer: -4413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*m - 1 - 0, 4*r - m = 31. Suppose 0 = q + 5*o + r, -3*o - 1 = q - o. Let b be 1\/(q\/(-30))*3200. Round b to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.347 - 2.457. Let l = -1.81 - -1.7. Let r = l - i. Which is the third smallest value? (a) r (b) 2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 716755 by -13.\nAnswer: -55135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -11. Suppose 0 = 3*z + p - w, 6 + 2 = 4*z + 4*p. Let r = -7 + 11. Solve z*l = l + r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 2. Let f(v) = 21*v + 15. Suppose 0 = 5*r + 83 - 8. Let y(j) = r*p(j) - 2*f(j). Let g(w) = -3*w**2. Give y(g(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2\/(-9) - (-7)\/(63\/61).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16 + (-3)\/2*2. Suppose 248 = 17*k - r*k. What are the prime factors of k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 7*n + 1. Let h(w) = w**2 + 5*w + 1. Let k(d) = -d + 13. Suppose -13 = -3*u + 5. Let g be k(u). Let a = 5 + -10. What is a*y(s) + g*h(s)?\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/60*5)\/(3\/6) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -270371*w**6\/120 + w**5\/20 - w**4\/6 + w**3\/3 - 3*w**2. Let c be m(3). Round c to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4054 and -0.0652238.\nAnswer: -0.4706238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 12:16 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/6 + -2)\/((-1)\/(-171)). Let d = 62 - v. Suppose 2*p = -2*p + 2*t + 2702, -1371 = -2*p + d*t. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1906014 and 59\/24.\nAnswer: 7624056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjnjgvvgjj. What is prob of picking 2 v and 2 g?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 54. Let h(t) = -4*t - 7. Calculate the least common multiple of h(-5) and l.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7035937+8040.635\nAnswer: 7043977.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 1:46 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -4.9. Let s = t + 5.1. What is the nearest to 1 in -4, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -355 + -3243?\nAnswer: -3631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -59*q - 454. Calculate u(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -802\/21, 0.5 in descending order.\nAnswer: 0.5, -0.2, -802\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167481 by 44.\nAnswer: 167481\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37468.\nAnswer: 2, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = s - 4 - 0, 2 = -s - o. Let c(r) = -r**3 - 4*r**2 + 5*r + 3. Let q(k) = 2*k**3 + 8*k**2 - 9*k - 5. Let u(n) = -11*c(n) - 6*q(n). Calculate u(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 41*c - 82004 = 0. What is the highest common factor of 76 and c?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 24 + 8 = 0. Suppose 4*p = -5*v + 7 + 1, -2*v - 8 = -w*p. Sort -2, 1.3, p in increasing order.\nAnswer: -2, 1.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**5\/5 - 13399*n**4\/5 + 3150684*n**3 - 1759237364*n**2\/5 + 30267584544*n\/5 + 20964943296\/5 = 0.\nAnswer: -2\/3, 22, 101, 2172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 706022 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 1, 3*d = 3*m - 6*m + 9. Solve 20 = b - m*b + 5*t, 0 = -2*t + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.5 - -4. Let z be ((-78)\/30 - -2)\/(79\/(-10)). Let f = z + -224\/869. Which is the smallest value? (a) f (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 655 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6450 (base 7) to base 4\nAnswer: 203301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, t: 5}. Give prob of sequence zt.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.224 + -3.224. What is the third biggest value in 33, 5, -4\/5, f?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-648)\/252)\/((-4)\/14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + 2 + (-1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) + 20\/72. Let h = 2.6 + -6.3. Let y = h + 3.8. What is the second biggest value in t, -3, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 329422, 658822, 988222?\n\"Answer: 329400*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*o = 95*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -57*(-6)\/90 + (-4)\/(-20). Solve -2*r + p*s + 12 = -0*s, 2*r - 5*s = 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t - 24 = 0, -19*t - 29 = 4*r + 61. Let l = 7 + -12. Let f(j) = j - 1. Let y(m) = m - 1. What is l*y(d) + r*f(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9874 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 2\/5, 0.13 in descending order.\nAnswer: 2\/5, 0.13, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 11 (b) -13 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49196 - -9867.\nAnswer: 59063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.38982 hours?\nAnswer: 5003352000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4 = -3*n - 1, 5*w + 1 = 4*n. What is the first derivative of -2*t + 1 + 3 + w*t - 3*t wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3\/4 + 15*y**2\/2 = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1758180 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 12*m**2 - 12*m + 19. What is d(13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16324.3 - 1\nAnswer: -16325.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -999\/482?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2624 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 8*t - 4. Let h be q(6). Suppose m = 4*o + 8, -3*m + 4*o = -4*m - h. Find the second derivative of 0 - 2*f**2 + m - 7*f + 5*f wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11073325, 11073332, 11073345, 11073364, 11073389, 11073420?\nAnswer: 11073457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -497 at least -529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13012 (base 4) in base 16?\nAnswer: 1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5675*b**2\/2 - 22285*b + 55920 = 0?\nAnswer: -11184\/1135, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 6:08 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18*-3*4\/(-18). What is the greatest common divisor of 30 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -965.5 - -84.5. Which is bigger: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + u = -25, 3*u = h - 4*h + 9. Solve -21*c - h = 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*x + 846, 311*p - 3329 = 307*p - 3*x. What is the remainder when p is divided by 805?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 26516494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 7. Let a(j) = -14 + 2*j + 2 + 6. Let p be a(6). Calculate o(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*h**3 - 11*h**3 + 52*h**3)*(h + 0 + 0) + (-2*h**3 - 5*h**3 + 5*h**3)*(0*h - 2*h + h) - 2*h**4 + 2*h**4 - h**4.\nAnswer: 75*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 f when four letters picked without replacement from veefeeevee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004582906 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14404 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4598 (base 12) to base 13.\nAnswer: 36b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 434\/9 or 49?\nAnswer: 434\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*b + 11*i - 14*i, i - 1 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 6*m**2 + 7*m + 4. Suppose r - 3 - 1 = 0. Let z(k) = k + 12. Let y be z(-10). Suppose -3*j - r = -y*j. Calculate x(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -896 (base 14) to base 10\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 2) + -2 + -3. Does 12 divide (-30 - o)*(-8)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 5*p**2 + 6*p - 1. Let w be l(4). Let q = 57 + w. What are the prime factors of (-16)\/q + (-217)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 9:04 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**2 - 64*h + 420 = 0.\nAnswer: -21, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + r)*(-r + r - 2*r**3) + 39*r**4 - 18*r**4 + 15*r**4.\nAnswer: 34*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9728*q*v*x**2 + 4*q*x**2 - 12047*q - 15*v*x + 2*x**2 wrt v?\nAnswer: -9728*q*x**2 - 15*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22*1)\/(((-31)\/((-1984)\/(-96)))\/(264\/32))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 188006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/36 and 77\/16960?\nAnswer: 152640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2490\/16)\/(-3)*(-10)\/(-25) and -101\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 845, 3802, 8723, 15602, 24433, 35210?\n\"Answer: -n**3 + 988*n**2 - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 29*p - 513. What is the remainder when p is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/66*19459\/(-3538)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*a**3 + 1 + 46*a**3 + 0 as m*a**2 + b*a**3 + p + k*a and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1e4a0?\nAnswer: 1e49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (-1)\/(-4) + (6 - (-6181)\/28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 9*b**2 - 3*b + 92. Let h be v(9). What is the highest common factor of h and 585?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -11. Suppose -r = 5*g - 8. Let s be (-280)\/g*10\/(-4). Round s to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 25.01836897.\nAnswer: 28.01836897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -24*q**2 + 56*q - 2150. Let p(f) = 5*f**2 - 12*f + 430. What is -3*l(u) - 14*p(u)?\nAnswer: 2*u**2 + 430","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from ggab?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30, 109, 236, 405, 610, 845, 1104, 1381?\n\"Answer: -x**3 + 30*x**2 - 4*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 0 - (738 + -743)) + -3 + -17\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3 - 3)*(11 + 0 - 3) - 3*o - 3*o + 2*o + (0*o - 2*o + 3*o)*(-1 + 1 + 1).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*m + 100, 4*m + 42 = -4*f + 230. Suppose 4*a = -3*p + f, p = a - 5*a + 56. Suppose -5*u + 25 + a = 0. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5035 and 47276.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129719121 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-1\/4)*u**(2\/15)*(((u\/(u\/(u\/u**7)))\/u)\/u)\/u**(-9\/5) assuming u is positive.\nAnswer: u**(-319\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 k, and 1 p when four letters picked without replacement from gsgkggkgpsgkvg?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 23*h**2 - 89*h + 79. Determine a(-17).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3609124 is divided by 84.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4452 (base 6) to base 11\nAnswer: -866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 3*n - 131605*n**2 - 2*n.\nAnswer: -131605*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2. Let z(y) = 4. Let m(f) = 5*s(f) - 2*z(f). Let t(r) = 6*r + 7. Let l(j) = -6*m(j) + t(j). Let p(h) = 6*h - 4. Give 4*l(c) - 5*p(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - 2*k + 4. Calculate v(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (24 + -42 - -15).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32)\/12)\/((-2)\/3). Suppose -3*d - 2*d - 10 = -5*f, -a*f = -d + 4. What is the tens digit of 36\/30*(-25)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0150983 - -0.03.\nAnswer: 0.0450983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 634663 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2\/(-3))\/((-10)\/3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 1357 - 457. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 34 = -14*i - 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 10 (c) 0.1 (d) 0.2 (e) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 243?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5215 (b) 1\/4 (c) -4\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 3*r = 8*g + 70, 20 = -5*r. What is the remainder when 859 is divided by g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.6 - 23. Which is the biggest value? (a) -1 (b) 3 (c) w (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/(-7))\/(182\/(-62) - -3). Let u be 0 + 1 - (-6)\/((-12)\/p). What is the highest common divisor of u and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -33 + 42*b - 41*b + 25. Determine s(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t - 6 = 0. What is the second derivative of -11*l + t*l + 10*l**4 + l wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 7*z - 5*z + 6*z + 32 + 1. Calculate j(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {x: 3, p: 4, j: 1, g: 6, h: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1190)\/6664*((-18)\/(-2))\/((-45)\/(-6))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 454, -5, -2, -7, -124 in increasing order.\nAnswer: -124, -7, -5, -2, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*g - 19005, 0 = 4*g - 176*x + 179*x - 18985. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 202776 and 3408.\nAnswer: 405552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14\/429, -0.9, -5\/3, -3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x**2 + 13 - 13 - 23*x**2 to t + a*x**2 + g*x and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6080 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + 1 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 + -3)\/8)\/((-15)\/(-2) - 7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-26 - -15) - -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.93289 millennia to centuries.\nAnswer: 29.3289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 6. Let s(j) be the first derivative of -3*j**2\/2 - 17*j - 3. Let t(z) = 6*s(z) + 17*v(z). Let k(c) = -c. Determine -3*k(f) + 2*t(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + (-1 - (-3 + 6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2634780?\nAnswer: 2, 3, 5, 43913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 137014077 equal to 137014079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 6*m - 6 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 103996 and 103998 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91784*z**2 - z**3 + 2*z**4 + 91784*z**2 - 2006*z - 330*z**5 wrt z.\nAnswer: -6600*z**3 + 24*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 10. Let r be f(-6). Let p(o) be the second derivative of -5\/12*o**4 - 3*o**2 + 0 + o + 7\/6*o**3 + 1\/20*o**5. Give p(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -8 + 3 - (1 + (-490 - -3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -1, -3, 43, 1, 0, 5.\nAnswer: -3, -1, 0, 1, 5, 35, 43","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**4\/4 - 5*g**3\/3 - 3*g**2\/2 - 4*g - 1. What is the units digit of m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f + 20880 = -39*f. Suppose -q = 5*w - 15896, -4*w + 9236 = q - f. Round w to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4.7, -0.08, 4, 5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 9 + 5 = 0. Suppose 0 = -h*p + 3*p - 2. Solve -5*i + p*l - 9 = 0, -l = -4*i + l - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -477*p + 480*p + 7, 5*p - 4*d + 23 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69319, -138590, -207815, -276994, -346127?\nAnswer: -415214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - 2*h**5 + 0*h**5 + (-3*h**5 + 0*h**5 - 4*h**5)*(0 - 5 + 4).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-11 + -2 + -9 + (13 - 1)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -223\/3 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 370960829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 2}. Give prob of picking 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.601 * 0.8\nAnswer: -1.2808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 - -1954\/21. Let w = k - -2\/7. Let t be (2\/(-5))\/(14\/(-10)). What is the third biggest value in -2\/5, t, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2. Let i(l) = 77*l. Let b(s) = s. Let m(p) = 66*b(p) - i(p). What is t(m(n))?\nAnswer: 363*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 1, l: 2, j: 3}. What is prob of picking 1 q and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r**3 - 11*r**2 - 11*r - 31. Let h(a) = -4*a**3 + 6*a**2 + 6*a + 15. Let n(p) = 11*h(p) + 6*x(p). What is the first derivative of n(v) wrt v?\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -27. Suppose -19*j - z = -21*j. Sort j, 0, -2, 3 in decreasing order.\nAnswer: j, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 142?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 13 = 43. Let f(s) = s**3 + 6*s - 6. Let a(t) = -14*t**3 - 91*t + 91. Let m(c) = -6*a(c) - 91*f(c). Let w(q) = -20*q**3. Determine d*m(x) - 3*w(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -60*k**2 - 15549*k. Let r(y) = -3*y. Determine r(l(n)).\nAnswer: 180*n**2 + 46647*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 553*a**2 - 10*a - 3032. Let g(t) = -1105*t**2 + 25*t + 6064. Let h(o) = 5*c(o) + 2*g(o). What is the derivative of h(d) wrt d?\nAnswer: 1110*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9513.43 + -9552. Let b = f - -39. Round b to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*n + 491, 4*a + 605 = 5*n + 2*a. Let x be -2 - (40\/(-2) - -1). What is the greatest common factor of x and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/4664 - -310021\/125928. Find the common denominator of r and -26\/297.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 7*t**6\/12 + t**5\/60 - t**4\/8 - 2*t**3\/3 + t**2 - 3*t + 68. Determine q(-1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqxxqfu. What is prob of sequence qxc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2. Let w(z) = -3*z**2 - 4. Let g(p) = 4*p**2 + 5. Let r(s) = -4*g(s) - 5*w(s). Give y(r(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1540 = -6*o + o, -5*o + 916 = -3*n. Is -307 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 10:16 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -56.394 and 0.115.\nAnswer: -56.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-245))\/((-2)\/(-7))*9\/18\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*y - 64. Let h = y - -27. What is the lowest common multiple of h and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -56*g - 1997. Let i be w(-36). Solve -3*y - 27 = 3*t, i*y - 17*y - 2*t = 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppnnnppnnpnn. What is prob of sequence pp?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1781 - 858. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106550, 213069, 319588, 426107?\nAnswer: 532626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209374782?\nAnswer: 2, 7, 11, 139, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**2 - 2*h**3 - 21*h**3 - 8*h**3 wrt h?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56*l**3 - 999218*l + 999227*l - 2*l**2 - 23*l**3)*(0 + 0 - 2) to the form p*l**3 + m*l + v*l**2 + n and give p.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.217083.\nAnswer: -0.0434166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 7. Let w(p) = 2*p - 21. Let b(z) = 6*s(z) - 2*w(z). Suppose -4*m + 6 = -2. Let i(o) = 0*o - m*o + o. Give i(b(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2891 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4600)\/69*12\/(-8). Is x <= 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -8. Let u be 5\/(l - -1)*4. Let c be ((-10)\/75)\/(u\/3). Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -0.04, 7 in decreasing order.\nAnswer: 7, 1\/7, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*p - 332*p**2 + 664*p**2 - 331*p**2 to n*p**2 + s*p + m and give s.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -587 + 587. Let q = 9 - 5. Sort 5, q, 23, m in increasing order.\nAnswer: m, q, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/20)\/(1\/(-2)). Suppose 5*t - 2*t - u*a - 39 = 0, 4*t - 60 = -4*a. Let r(b) = 5*b - t*b + 10*b. Calculate r(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/120 - g**4\/24 - g**3\/12 + 2*g**2. Factor u(x).\nAnswer: -(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -14 + 26. Let a(s) = 356*s**2 + 6*s - 7. Is a(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 8*d**2 - 3*d. Let w = -13 - -5. What is the least common multiple of 12 and s(w)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i**5 - 3*i**4 - 7*i**3 - i**2 - 5*i. Let k(h) = 5*h**5 - 2*h**4 - 3*h**3 - 2*h. Let w(n) = -5*k(n) + 2*x(n). Determine q, given that w(q) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1\/4, 105, -0.4, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52629 is divided by 13155?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 5. Suppose z = -5*f - 2. Let r = 8.23379 + -13.23379. Which is the nearest to f? (a) r (b) -0.07 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 839*o**2 + 413*o**2 + 432*o**2.\nAnswer: 6*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360*n + 320*n = -37920. Calculate the greatest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 258924843?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4133*y + 1973. Let n be a(13). What is n rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28760851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -867083 divided by 8939\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -22*z - 1359. Determine d(-62).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1824 and 6674320.\nAnswer: 40045920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*i + 746*i - 99*i + 974*i.\nAnswer: 1225*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 899532.9ug in nanograms?\nAnswer: 899532900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5313, 19736, 43209, 75726, 117281, 167868, 227481?\nAnswer: 296114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145224535.\nAnswer: 5, 3613, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 15 + 2 = 2*z + 1, 0 = 7*o + 10*z + 86 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 17 = 4*q - 1, -4*o = -5*q - 15. Solve 2*z + 5*j = 7, o*z - 8*j + 6*j = 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(108\/(-32))*(-3)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 25825568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54985*a**4 - 16*a**3 + a**2 + 2751*a + 9969 wrt a.\nAnswer: -659820*a**2 - 96*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*u = 221, -5*f + 4803*u = 4807*u - 377. Solve 98 = -3*w + f for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) + 665\/28. Is 9 a factor of ((-508)\/(-6))\/(x\/36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/11*22\/770*-7?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -6 + 7 + -7 - 11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*o + 1 = 66*o + 66*o + 10*q - 26, -17 = -15*o + 13*o - 5*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j + 4. Suppose 41 + 92 = 7*n. Suppose -22*k - 12 = -n*k. Calculate h(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 884 + 85*m**2 + 880 - 1764 - 90*m**2. Let z(d) = 63*d**2 - 33*d - 33. Let c(r) = -4*r**2 + 2*r + 2. Let l(k) = -33*c(k) - 2*z(k). What is l(b(h))?\nAnswer: 150*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2. Let g(r) = -113*r + 24. Determine g(q(n)).\nAnswer: 113*n**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-33*(-10)\/990)\/(3*(-5)\/1845)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/5 - 44*g\/5 - 112\/5.\nAnswer: -4*(g + 4)*(g + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 99, 210, 241, 186, 39, -206?\n\"Answer: -h**3 - 34*h**2 + 220*h - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + 29. What is the tens digit of o(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.72 + 8.32. What is the closest to -0.1 in 6\/11, -6\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3092 + -3233. Which is bigger: a or -146?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*u**4 + 5353960*u**3 + 71612945844*u**2 - 1319037992528*u + 6069660014224.\nAnswer: 4*(u + 26779)**2*(5*u - 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 f, and 1 z when four letters picked without replacement from flfllzlkz.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5159991*l**2 + 4*l - 9. Let k(f) = -2579995*f**2 - 2*f + 5. Let a(v) = 6*h(v) + 11*k(v). Let p be a(-1). Round p to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 4)*(0 + 0 + c) - 2 + 2 - c - 1 + 4*c - 8*c + 8)*(c**3 + c**3 + 6*c**3).\nAnswer: -56*c**4 + 56*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7659930 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**4 - 39*g**3 + 126*g**2 + 96*g - 672 = 0.\nAnswer: -2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 + 6*v. Let l(q) = q**2 - 1. Let d(n) = -2*l(n) + r(n). Let c be d(-6). Solve c*p = -2*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + -2 + 4 + 0 + 34 + 238 + -270.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64668, 39805, 14940, -9927?\nAnswer: -34796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-48))\/(12\/432)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = g. Suppose 5*z = 2*m - 6*m - 12400025, -5*m = -g*z + 15499990. What is m rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 10:05 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17955, -143705, -485029, -1149717, -2245559, -3880345?\nAnswer: -6161865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 783457.8 litres?\nAnswer: 783457800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 + -1 - -1. Suppose 0*k + 2*k = -8. Let g be (k - -4) + (0 - 1). Is h < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -650, 0, -1\/2, -6 in ascending order.\nAnswer: -650, -6, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3 (b) -7\/3 (c) -0.3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 3.93, 0, -0.5, -5\/4?\nAnswer: 3.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*z - 1 + 192*z**2 - 55*z**2 - 15*z + 45*z**2 to the form t + r*z + i*z**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 208*d**3 + 2652. Let v(w) = -w**2. What is r(v(b))?\nAnswer: 624*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -4 + (-4*sqrt(9)\/sqrt(3) + -3 - (2 + (sqrt(3) - (sqrt(36)\/(4*sqrt(12)) + sqrt(3))))))*5)**2.\nAnswer: 750*sqrt(3) + 23275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 90 - 291 = 0. Put -4, 3, d in descending order.\nAnswer: d, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-67 - (-4 - (5 + 0 + 0))) + -3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -171130\/9 - -19034. Sort 4, 0.1, -0.4, j in descending order.\nAnswer: j, 4, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 2*t**3\/3 - 3*t - 317. Let n(i) = 4*i**2 - i - 5. What is -2*n(w) + 5*p(w)?\nAnswer: 2*w**2 + 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, 8, 80, 160, 236, 296?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -1188655\/74 = -16062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*g - 36 + 87 = -0*j, 6*j + 9 = 3*j - 2*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cpppcpcccpcccccpcppm?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c - 7. Suppose -19 = -4*d + 9. List the prime factors of k(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141*r**4*w**3 + 17*r**3*w**3 - 515*r**3 - 3*r**2*w**3 + 7318*r**2*w**2 - 6*r*w**3 - w**2 wrt r?\nAnswer: 3384*r*w**3 + 102*w**3 - 3090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -384 - -922. Suppose -5*r = -t - 516 - 385, 3*r - x = -2*t. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*l**3 + 0*l - 14*l**3 - l)*(l - 2*l**2 - l).\nAnswer: 60*l**5 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**3 + 4*z**2 - z - 24. Let p(t) = 9*t**3 - 7*t**2 + 2*t + 47. Let b(x) = -7*k(x) - 4*p(x). Give b(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-3*3\/12). Let l = -6 - p. Factor 2*b**3 + 16*b + 13*b**2 + 2 - 3*b**l + 6.\nAnswer: 2*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100 - -11?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 4550413*s**2 - 4550414*s.\nAnswer: s*(s - 1)*(s + 4550414)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(192)*3.\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0095 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2539775?\nAnswer: 5, 7, 23, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22.471 * 2\nAnswer: 44.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(6\/(-3)) - -4. Let j be (10\/(-4) - -2)*-6. Suppose 4*l = 2*g - 6*g + 152, -2*g + j*l + 66 = 0. Solve 4*a - g = 4*f, -y*f - 32 = -a - 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(8\/9)*x)*x\/((x**(1\/31)\/x*x)\/x*x))\/((x**(-3\/5)\/x)\/x*x\/(((x**(-4\/9)\/x)\/x)\/x)))**(-21) assuming x is positive.\nAnswer: x**(5747\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 2*d - 2*d)*(d - 4*d - 2*d)*(-27 + 27 + 6*d + (-1 + 0 + 0)*(2*d + 0*d + 0*d) + 0 + d + 0 + 3*d - 5*d + d) as b*d + t + r*d**2 + j*d**3 and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -372*d**2 + 367*d + 367. Determine q(-1).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9752 - 9448. What is the remainder when v is divided by 103?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*c + 0*c - 70 = 0, -3*d - 190 = 5*c. Let w = d + 56. Is (1 + 4695\/10)\/(w\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 100. List the prime factors of (r\/6)\/((-26)\/2301).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4226.\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 8831*b**2 - 17665*b + 8833.\nAnswer: (b - 1)**2*(b + 8833)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5435605547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -918, -1830, -2740, -3648, -4554?\n\"Answer: i**2 - 915*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 3:04 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.32 + -0.32. Let f = -36 + j. Let r = 14.1 + f. Is r not equal to -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let z be -1 + -3 + 5 + -3. Let c be (12\/2)\/z - -5. Let t(m) = c - 4*m + 3*m - 2. Calculate x(t(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 1975, 0, 3 in descending order.\nAnswer: 1975, 3, 0, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/5*(-147)\/(-441).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14632055.\nAnswer: 5, 2926411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*y - 4*c - 1, 0 = 3*y - 4*c - 10. Let a(b) = -3*b**2 - 6 - 21737*b - 2*b**2 - 1 + b**3 + 21734*b. Let k be a(y). Is k < 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2817)\/(-6573))\/(2\/(-98)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.049 - -1.089. Round d to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10))\/(-4*(-41)\/820).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 - 44. Suppose c + 0*c - u = 0. Suppose 3*k + 2*k - c = 0. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18.7 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 + 239. Let b(l) = 9*l**2 + 109*l - m*l - 30*l**2. Let q(c) = -2*c. Give b(q(i)).\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p + 67 - 45 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-879)\/2344)\/(-3*3\/(-3*12))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 232 = 238 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j**2 - 424*j + 43. What is the remainder when 49 is divided by t(53)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -1\/6 (c) -0.2 (d) -18900\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/49368 and -139\/1452.\nAnswer: 49368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -12. Suppose 16 = a*f + 3*j - 41, 3*f - 3*j = 27. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeqieeqeieelle. What is prob of sequence iqe?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -30*16\/60*-3. Suppose 0 = 5*r + 4*v, 0 = -r + 2*r - 4*v - n. Suppose -3*z - 3*u = -21, r*u = 5*z - 0*u + 1. Solve -z - 1 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*v - 2210 = 0, 7*u - 5*v - 4416 = 3*u. Is 94 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 times 150\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/5)\/x*x*x**(-10\/9))\/(x**2)**8 assuming x is positive.\nAnswer: x**(-707\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 604 a factor of 17282856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 13 - 73) + 18?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1773*n**3 + 1775*n**3 - 3584*n**3.\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -284346993 and 1.\nAnswer: -284346992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.555 + 0.155. Which is the biggest value? (a) g (b) 1 (c) -1\/3 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 130?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*((84\/12)\/14)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2304 - 0.1004. Which is the closest to 0? (a) -1\/2 (b) t (c) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17475)\/(42173\/181))\/(5\/4).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210677 - 29*k**2 - 210677.\nAnswer: -29*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6570 + 643?\nAnswer: -5826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 459*a - 4890.\nAnswer: 3*(a - 163)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18254, -18247, -18244, -18251, -18274?\n\"Answer: -r**3 + 4*r**2 + 2*r - 18259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 3*h - 4*m - 46, 3*h = -3*m + 174. What is h rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 22. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18709, 37353, 55943, 74473, 92937, 111329, 129643?\nAnswer: 147873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02388531 rounded to 5 decimal places?\nAnswer: -0.02389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**34\/(m*(m**38*m)\/m))\/((m**(-24)\/m)\/(m**(-30)*m*m)) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 2.114?\nAnswer: -8.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 8. Let o(p) = -7*p**2. What is o(i(a))?\nAnswer: -7*a**2 - 112*a - 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 4 (c) 8\/21 (d) -63 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 + 4 + 3 - 255*d - 10 + 253*d as v + r*d and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2\/7, -0.5, 2, 0.04, -0.2, 3290?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 680, 4, 12 in increasing order.\nAnswer: 2, 4, 5, 12, 680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-70))\/(((-24)\/2*1)\/(26420\/1321)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(((-21)\/7)\/12). Suppose -2*z + 4*z = -b + 13, 0 = w*z + 3*b - 19. Sort z, 1, 0, 15 in descending order.\nAnswer: 15, z, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d + 100 = 0. What is the common denominator of 95\/22 and 188\/d*5\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 250915 + -177715. What is n rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 13, y: 3, j: 2}. What is prob of sequence yg?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 93090883*q + 80165178?\nAnswer: 93090883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 20. Let t be k(6). Which is smaller: t or 89\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n**3 + 43*n + 14*n**2 + 7 - 43*n + 3*n**2 - 16*n**2 in the form l + j*n + y*n**3 + a*n**2 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)*y\/(y*y\/y**(-2\/21)*y)*y*y**(-1\/13)*y**(-7))**20)**(2\/123) assuming y is positive.\nAnswer: y**(-96520\/33579)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042411413 (base 5) in base 11?\nAnswer: 2452140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 701 (base 14) in base 7?\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 17 = -3*v, 4*v + 4*m - 8 = -28. Suppose f = -2*u, 5*f - 4*u + 0 = -42. Let c be 1\/f*(-16)\/v. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from mtcmbibgtbbcmiibcci?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 times 862915?\nAnswer: 215728.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -260 (b) -1\/5 (c) -0.44 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 11 = -14. Suppose -9 = -4*p + 3. Solve 3*s = -g*b + 17, -20 = -3*s - p*b - 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**3 - 10*m**2 + 38*m - 11. Let p(s) = s**3. Let z(r) = i(r) + 4*p(r). Let y be z(-13). Solve 5*l - y*l + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1654 + 8271\/5. What is the closest to f in 0.053, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 38*f**3 - 382*f**2 + 540*f - 5187. Calculate b(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6\/85, 5665, -2\/7 in decreasing order.\nAnswer: 5665, 3, 6\/85, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjq when three letters picked without replacement from {m: 12, j: 2, q: 5}.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -81. What is the remainder when g is divided by (176\/16)\/66 + 53\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 - 2*t. Let d be s(2). Solve 0 = 3*x + 3*z, 0 = 2*x - x - 3*z - d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:52 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 492*v**2. Let r(n) = 5*n. What is b(r(g))?\nAnswer: 12300*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 1782?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by -58?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*x + 53, 0*n = 2*x + 3*n - 16. Suppose x*w + 12 = 15*w. Suppose w*b = -9, -3*o = 4*b - 2*b - 18. What is the least common multiple of o and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - r - 4. Let c be n(-8). Suppose c - 42 = 3*v. Solve -q = -2*h + h + 9, 5*h - v = 2*q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.361 + 678.639. Let v = -175.6852 - -854.684857. Let t = g - v. What is t rounded to 5 decimal places?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.33 - -2.33. What is the second smallest value in -5, x, 3, -4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.91701 and -0.5?\nAnswer: -4.458505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -55*f**2\/2 - 38*f - 13. Differentiate o(l) wrt l.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 76 + -10?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -203 + 178. Let s = 3612 + a. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1329786?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, -3, -1, 37.\nAnswer: -138, -3, -1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -23. Let u = -1 - -3. Suppose 4*m - u*m = j. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9920.758 nanograms to micrograms.\nAnswer: 9.920758","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26 - 3) + -2 + 4. Let g = o - -40. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 368514\/(-8600666) + (-2)\/(-46). Is 0 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*q + 72. Let x = q - -13. Let n = 18 - x. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/243 and -47\/270.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 + j**3 - 2*j**3 + (-16*j - 13*j - 18*j)*(0*j**2 - 3*j**2 + 2*j**2).\nAnswer: 49*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3.2, 3, 7?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d*d*d**(2\/5)*d)*d\/((d\/(d*d**(-19)))\/d) assuming d is positive.\nAnswer: d**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1787281 is divided by 494.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -412.259 - -412. Let h = 0.141 - n. Which is the third smallest value? (a) -1\/4 (b) -5 (c) 4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 613*-4522\nAnswer: -2771986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -33003021 (base 4) to base 16\nAnswer: -f0c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -6\/43 (b) 0.1 (c) 0.04 (d) 0.5 (e) 31\/134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r**5 + 3695*r**4 - 18915*r**3 - 84380*r**2 + 450260*r - 469200 = 0. Calculate r.\nAnswer: -5, 2, 69\/10, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*r + 3*r - 131 = 0, -r = 3*h + 136. Let t = 54 + h. Suppose s - 20 = -t. Solve -5*g + 3 = s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*h - 396 + 1462 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 702867768, 702867767, 702867766, 702867765?\n\"Answer: -s + 702867769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 11616852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -25\/6*s**2 - 13\/9*s**3 + 3 + 2*s - 1\/36*s**4. Let a(c) = 0. Calculate c.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 5, k: 1, c: 2}. Give prob of picking 1 c and 1 n.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/6)\/((-2)\/(-2)). Let x = r + 20. Let d be (-6)\/(-8) + (-5)\/x. Is 3 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0872024 litres to millilitres.\nAnswer: 87.2024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v - 3. Determine j(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-144))\/((10\/3)\/5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + sqrt(306)*-1 + sqrt(306))\/((sqrt(4)*1)\/sqrt(2)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.066, -4, -1\/4, -70602, 0.1 in decreasing order.\nAnswer: 0.1, 0.066, -1\/4, -4, -70602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) + sqrt(91)*2)*-5 - sqrt(91) - sqrt(91)) + -6*-2*sqrt(91))\/((sqrt(70)\/(sqrt(10)*-2) - sqrt(7))*-2).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5901*0.4.\nAnswer: 2360.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213240 is divided by 213235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14)\/o**7)\/(o**(-2\/35)*o\/(o\/(o\/o**(3\/11)*o))*o) assuming o is positive.\nAnswer: o**(-9113\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/35331 and 45\/153101.\nAnswer: 459303","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2079 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 4. Let p be d(-3). What is the remainder when 168\/p + 0 + -2 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + (sqrt(100)*1)\/(-3*-1*sqrt(5)).\nAnswer: 2*sqrt(5)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -7) + -37 + -20 + (-1 - -9)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5811204761?\nAnswer: 137, 42417553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 17*h - 4. Let p(z) = -z - 9. Let a be p(-17). Suppose a*c = 3*c + 15. List the prime factors of f(c).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 464167745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.772729 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5\/11)*b\/((b**(-23)*b)\/b) assuming b is positive.\nAnswer: b**(259\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 8*m - 6. Determine v(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/5 + 21574*p\/5 + 116359369\/5.\nAnswer: (p + 10787)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 17. Let g be y(15). Let l = -4 + 5. Sort g, l, -6 in descending order.\nAnswer: l, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.28 in 11, 4\/3, 5.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*b + 25165, 3*j = -2*b - 24137 + 9019. Is -2*(j\/(-32))\/(2\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 - a. Let g = -4 - -5. Let b(o) = -o**3 + o**2. Let n(z) = g*f(z) - 4*b(z). Find the second derivative of n(c) wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 - 150*h**2 + 107*h - 2332. Calculate o(-51).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 7*s - 168. Let d(l) = -14 + l + 33 - s. Let t(b) = -106*b. Calculate t(d(h)).\nAnswer: -106*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:10 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k - 8 = 0, -12 = -4*l - 4*k. Let w(q) = 84*q**3 - q + 1. Let c be w(l). What is the highest common factor of 24 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 + 4 = 0. Let h(j) = -2*j**2 - 3*j + 3. Let f(m) = 3*m**2 + 4*m - 4. Let s(y) = v*f(y) + 4*h(y). Let o(i) = 78*i - 1. Calculate s(o(r)).\nAnswer: 6084*r**2 - 156*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -455 + 459. Which is the closest to 121? (a) -2 (b) 1 (c) 3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 2. Let v(m) = 6*m**2 - 9. Let l(z) = z**2. Let a(c) = 3*l(c) - v(c). Give -2*a(g) + 9*n(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4228066 and -143\/7422?\nAnswer: 12684198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + 80. Calculate f(40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i**2 - 21*i - 42. Is 14 a factor of v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12ddc (base 14) in base 2?\nAnswer: 1011011000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.0935467 - 29024.\nAnswer: -29022.9064533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 24 = 3*b, -14 = -4*i - 4*b + 10. Suppose -15 = 3*v - i. Let r = -20.5 - -20. Is v <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -502, -753, -1004?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 3, -1\/166, 24 in increasing order.\nAnswer: -14, -1\/166, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87156 by -3228.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/77))**(-35)*z**(-27)*z*z**(-2\/15)\/z assuming z is positive.\nAnswer: z**(-4327\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-84)*4*1*7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Let h = -4.4 - -6. Let q = -2 + h. What is the closest to -1 in q, j, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 15*y + 9. Let n be w(9). Suppose -22*q + 61*q = 156. Factor 126*k**q + 140*k**2 - 59*k**4 - n + 48*k - 48*k**3 - 63*k**4.\nAnswer: 4*(k - 6)**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176247 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -65219 to the nearest one thousand.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -570921 divided by 2?\nAnswer: -570921\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-20)*(z**(1\/9)*z)\/((z*z**(1\/2)*z*z)\/z) assuming z is positive.\nAnswer: z**(-385\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*m - 32*m + 145*m - 37*m - 24 - 29*m + 17.\nAnswer: 7*m - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 8 = 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112 + 412. Calculate the smallest common multiple of 4\/(-30) + 640\/q and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - -7) - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - r, 5*f + 5*r = -0*f - 30. Let s = f + 6. Suppose s*w - 82 - 58 = 0. What is the greatest common divisor of 14 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9325773*0.5.\nAnswer: 4662886.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3*o + 4, -4*o = 4*z - 87 + 71 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.06 (b) -32 (c) 18 (d) -7 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588 - 849 - 223 + 83 - y.\nAnswer: -y - 1577","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -612*s**5 + 278*s**2 - 2*s wrt s.\nAnswer: -36720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -7.9 (b) -4 (c) 0.5 (d) -8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-3)\/((-18)\/60))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234354055 to the power of 1\/3, to the nearest integer?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -113*o - 106?\nAnswer: -113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 1\/6*k**3 + 1\/60*k**5 - 37*k**2 - 1\/12*k**4 + 0 + 0*k. Determine z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -n + 4*f, 5*n + 7661*f - 7665*f + 94 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*v + 14 - 20 + 113*v + 1588*v**2 - 141*v**2.\nAnswer: 1447*v**2 + 3*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/4, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -199, -443, -843, -1393, -2087?\n\"Answer: q**3 - 84*q**2 + q - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/18 + 183\/(-27). Let q be -1*((-6)\/m)\/(9\/252). Let w = 18 - q. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*i + y + 18, 4*i = -5*y + 12. Let c = -2 - i. Let l be (4\/90)\/(2\/c). Which is bigger: -2\/21 or l?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1150*x**5 + 8*x**4 - 2*x**2 - 16*x + 243?\nAnswer: -69000*x**2 + 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {i: 6, o: 3, s: 4, d: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**4\/12 + 8*s**2. Let w(f) be the second derivative of 0 + 0*f**2 - f - 1\/3*f**3. Give q(w(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15658 is divided by 775?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddyy when four letters picked without replacement from dggdyidygggy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l - 52. Suppose f + 21 = 4*z, 9*f - 3 = -z + 10*f. Let h be x(z). What is the highest common factor of 8 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-8\/7)*u*u**(-4))**(-4\/11))**(-31) assuming u is positive.\nAnswer: u**(-248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -40452 greater than or equal to -40452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7543 - 7542 - y**2 - 48*y + y**4 - 2*y**3 - 4*y as z*y**4 + x*y + f*y**3 + g + i*y**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let d(s) = -2*s**2 - 18*s - 29. Let p be d(-11). Sort 2, p, -2 in decreasing order.\nAnswer: 2, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1053)*-2 - sqrt(1053))**2.\nAnswer: 162*sqrt(13) + 9486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99344885\/829 - -119837. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*6 + 90\/(-78)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - -11) + -5 + (-230)\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u. Let k be (-69)\/(-2)*(-64)\/(-24). Let r(z) = -k*z**2 - 13*z**2 - 3 + 3. Determine t(r(h)).\nAnswer: 210*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -706367856, -706367855, -706367854?\nAnswer: -706367853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6566151671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -3840.\nAnswer: -15360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -113141*z - 339417. Calculate g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10033220 - 100?\nAnswer: -10033320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*s + 44*s + 12*s**4 + (-1 + 1 + 3*s**2)*(-s**2 + 0*s**2 + 2*s**2).\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 146*b - 15. Let v(s) = -2*s + 2. Give -n(t) - 6*v(t).\nAnswer: -134*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 157\/41, 21\/8 in increasing order.\nAnswer: 5\/6, 21\/8, 157\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.131 rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -814 - -1075. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - 1347\/19. Let w = -652 - -651.6. Which is the smallest value? (a) -145 (b) n (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 11*r - r. Let b(c) = 11*c + 193. What is the lowest common multiple of b(r) and 4?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 751109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 212.59+14\nAnswer: 226.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -243, 0.041, -0.2, -3.\nAnswer: -243, -3, -0.2, 0.041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 12*f + 11*f = 30, 0 = 5*o - 2*f - 35. Suppose 0 = -o*h - 7*y + 6*y + 3800, -3775 = -5*h + 4*y. What are the prime factors of h?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -14*t + 885. Determine o(65).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899 times -3?\nAnswer: -5697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207117?\nAnswer: 3, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 14338 = -2*i, -3*j = -5*i - 12558 - 1777. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11700797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 66. Solve -j + 5 = -2*j + v*u, u = -4*j - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 5*v - 3. Let o(l) = -2*l**2 + 6*l - 5. Let q(i) = 2*o(i) - 3*w(i). Determine q(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvvy when four letters picked without replacement from {y: 2, v: 5, m: 5}.\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142472536 a multiple of 5953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5*-8619.6067\nAnswer: -43098.0335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23598 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**3\/3 + y**2 - y. Let a be r(-4). Suppose 2*t - 25*c + 26*c - 5 = 0, 0 = -2*t + 2*c + 2. Solve 0*z = t*z - a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.12682 (b) -3\/4 (c) 2 (d) 2\/225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4*-1597)\/(2\/20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*300\/80*2*4\/(-20).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -29, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2171, 2173, 2175, 2177, 2179, 2181?\nAnswer: 2183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(114 + 65*n - 213 + 102) in the form x + v*n and give v.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -511 - -510.8. Which is the closest to y? (a) -2 (b) 22\/13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22505 or 4?\nAnswer: 22505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 355 + -11. List the prime factors of m.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a tonne in kilograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5448819 + 5.\nAnswer: -5448814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12*k**2 + 3*k - 10. Let y(z) = 35*z**2 - 8*z + 29. Let n(l) = -8*g(l) - 3*y(l). What is the derivative of n(b) wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.292898 - -1.294. What is v rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 222140183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 257.837 times 3\nAnswer: 773.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*-3*1)\/(60643\/11026))\/(14\/(-22))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -481*r + 7693. Let c be h(16). Sort 1812, c, -2 in descending order.\nAnswer: 1812, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -68165, -68202, -68263, -68348, -68457, -68590, -68747?\n\"Answer: -12*y**2 - y - 68152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 - 12*t**2 - 2*t - 2. Let i be q(-6). Suppose 0 = i*f - 176 - 774. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5282.\nAnswer: 2, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 593999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - s - 1)*(-13 + 2 - 23)*(-2 + 0 + 0) as p + x*s and give x.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1271831 or -1271857?\nAnswer: -1271831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 5?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 10*k + 51 - 13 - 19 + 1 - k**2 - 19. Determine b(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00562252 rounded to 4 decimal places?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f - 34*f - m + 8 = 0, 0 = 2*f - 4*m + 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2809.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.69, 2\/23, -4.3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2578420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1495 divided by 1?\nAnswer: -1495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 8*p**2 + 5. Let c(v) = -2*v - 2. Let f be c(-4). Suppose z + f - 14 = 0. Let y be r(z). Solve y + 4 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 16*r**2 + 603*r + 10233. What is h(-17)?\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6066 + -2655. What is the third derivative of -3411*t**3 + f*t**3 + t**2 + 35*t**4 + 15*t**2 wrt t?\nAnswer: 840*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/30)\/(1\/6). Suppose -2*p + 2 = -p - 3*j, 4*p - 22 = -k*j. Does 7 divide (2 - p)\/(6\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105 - -218. Let w = u + -24. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*t**2 - 15\/2 - 4*t = 0. What is t?\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 15 = -2. Suppose -4*l - 40 = 5*m, 0 = -0*m + m + l + 9. Let r = m - -9. Calculate the remainder when s is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3171332 by 792833.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -67, -238, -553, -1060?\nAnswer: -1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -63\/8, -2\/7, 127 in ascending order.\nAnswer: -63\/8, -0.4, -2\/7, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 6*t**2 - 3*t + 5. What is s(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 2450.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 5*s + 24, 2*s - 13 = p - s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 13*w - 16. Let f be c(-11). Solve 0 = 7*m - f*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {x: 1, a: 1, i: 1, j: 2, e: 1, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (19 - (23 - 4) - 24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.168 + -123.832. Let n = t - -127. What is the nearest to 0 in n, 2, 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -196481\/60 - -3277. What is the common denominator of 77\/45 and d?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-20))\/(7\/10)*-7. Let a(d) be the second derivative of 0*d**3 + 1\/12*d**4 - m*d + 0 + 0*d**2. Let n(x) = -x. What is a(n(h))?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*l + 4 = -193*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + k**2 - 4*k**2)*(-2 + 0 - 2) + (2 + 0 + 0)*(2 - k**2 - 2).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12367877?\nAnswer: 12367877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36010760*g**2 - 47206517 wrt g.\nAnswer: -72021520*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:38 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 918*j**5 + 8*j**3 + 7*j**2 + 393*j - 5 wrt j.\nAnswer: 55080*j**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 589 and 341.\nAnswer: 6479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31568\/35 - -902. Let b = o + -43\/140. Let w(g) = g**3 - g**2 - 3*g + 2. Let l be w(2). Is b equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 949096054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000217 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.08 + -0.08. Let v = 0 + s. Let d = -184 + 183.8. Which is the third smallest value? (a) -5 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*m**3 + 66*m**3 - 2 + 78*m**2 - 186*m**3.\nAnswer: 10*m**3 + 78*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14597*v**3 + 10523.\nAnswer: 43791*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.3 + 15.29721. What is j rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 5*g**2 - 19*g - 31. Let m be i(-6). Let w = -116 + m. Solve 4*n - 8 = 4*q - 2*q, 12 = -w*q + n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*j - 179, -3*t + 5*j + 404 - 107 = 0. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o = 5*v + 46, 4*v - 767 = 3*o - 754 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/22*4\/(-5).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {k: 3, q: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1863718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2959 and 1177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -193, -350, -521, -712, -929, -1178?\nAnswer: -1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06235 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -10*g + 8*g. Solve -8 = -d + 5*v, g*d + 3*v + 2*v - 1 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 199 + -167. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115159996254 less than 2.25?\nAnswer: -115159996251.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*q - 354*q = -864. What is the highest common factor of q and 1305?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359340 (base 11) to base 4.\nAnswer: 2022312220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1141896*g. Let t(x) = 4443*x. What is 4*d(w) - 1029*t(w)?\nAnswer: -4263*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236 - 233. Let u(x) = -x**3 + 2*x**2 - x. Let k be u(2). Sort k, -3, -4, n in increasing order.\nAnswer: -4, -3, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (41\/3)\/((-7)\/(-21)). Let k = h - 2. What is the units digit of (-36)\/3*k\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68323004.\nAnswer: 2, 443, 38557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(((-2787)\/232)\/3 - -4)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 1511339730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 254851469 a multiple of 4732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17429504.05 rounded to the nearest one thousand?\nAnswer: 17430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2744 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -23500*u + 3619015. Give j(154).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = -2*a. Let v = 1 - a. Let k be (1 - 2)*1 - v. Solve -d + 2 = -k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - 4*u + u**3 + (1 + 4 - 4)*(u - 3*u - 2*u)*(-u**2 - 11*u**2 + 3*u**2).\nAnswer: 37*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u**2 + u - 1. Let v be ((-2)\/3*3)\/1. List the prime factors of g(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 - -76 - (-7 - (1 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 11:02 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45604?\nAnswer: 2, 13, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 58 + 0*c**2 + 15\/2*c**4 - 2*c**3 - 5*c. Find the third derivative of g(f) wrt f.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172515 and 1155135.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 292273, 292274, 292275, 292276, 292277, 292278?\n\"Answer: p + 292272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4*v + 74*f**4 + 617*f**3 + 2*f**2*v - 48*f**2 + 168*f*v - 2*v wrt f.\nAnswer: 24*f*v + 1776*f + 3702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 5, k: 7, p: 1, j: 1, u: 2}. Give prob of sequence pk.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x - 3293 + 2825 = 0. Let v(p) = p**3 + 2*p**2 - 25*p - 6. Determine v(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 9*u**2 + 144*u + 1073. Give t(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 42 - 174. Let a(x) = 20*x - t*x + 23*x. Let k(c) = 3*c**2 - c**2 - 4*c**2 + 4*c**2. Calculate a(k(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 0*c = 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 8:14 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 5*j**2 + j. Let a(f) = 5*f**3 + 15*f**2 - 4*f - 1. Let r(s) = -3*a(s) - 8*y(s). Give r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1516845 (base 9) to base 12\nAnswer: 345172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*u - 2. Let y(z) = -1 - 4*z**2 + 0*z**2 - z**3 + z - z**u + 4*z**2. Give y(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/8 of a day?\nAnswer: 2340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 24 = -6*g - 9, 0 = -2*g + 5*o + 23 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)*b*b)**(-33)*((b*b**(3\/2)\/b)\/b)\/b**(-10) assuming b is positive.\nAnswer: b**(-423\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*114)\/(-7 + (-288)\/(-16)). What is the fourth smallest value in -1\/11, 0, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132547 divided by 2.\nAnswer: -132547\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -9*v**4 + 2392*v**3 + 2398*v**2 + 800*v - 814. Factor b(m).\nAnswer: -4*(m - 200)*(3*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 348 - 251. Is 98 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60 + -727570?\nAnswer: -727650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 973126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(117) - sqrt(117) - sqrt(117))*3*4*2)\/(sqrt(144)*2 + sqrt(576)*1).\nAnswer: -15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -29*m**2 + 5*m - 16. Let l(x) = 15*x**2 - 2*x + 8. Calculate -5*l(i) - 2*p(i).\nAnswer: -17*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 11*y**3 - 11*y**2 - 3*y + 80. Let a(c) = 7*c**3 - 6*c**2 - 2*c + 40. Let d(s) = -11*a(s) + 6*h(s). What is the first derivative of d(v) wrt v?\nAnswer: -33*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -15 + 8 + 11 - f. Let c be u(-3). Solve 5*n = w - c, 4*w + 6*n + 18 = 3*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -37, -40, -43, -46, -49, -52?\n\"Answer: -3*z - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.465771 rounded to 2 decimal places?\nAnswer: -4.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**13)\/h**(4\/9)*((((h*h*h**(3\/2))\/h)\/h)\/h)**(2\/71) assuming h is positive.\nAnswer: h**(8671\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f + 182. Let i be v(31). Let j be (-3)\/9*-6*i\/(-20). What is u in -22\/5*u**4 - 12\/5*u**2 - 28\/5*u**3 + j*u - 6\/5*u**5 + 2\/5 = 0?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + 0.22. Let w = -32314 - -32309. Put w, h, -1, -6 in descending order.\nAnswer: h, -1, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -8, 0.6, -4, 3 in increasing order.\nAnswer: -8, -4, 2\/11, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6985827163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 14915*i + 14914.\nAnswer: (i - 14914)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, z: 10}. What is prob of sequence bbz?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 21012\/2992 + 2\/2.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*b + 18 = 0, -24 = 4*d + 2*b - 42 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 298988.\nAnswer: 2690892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 0. Let l be (-4)\/14 - 4\/(-14). Let p be 1\/3*l - 2. Is n <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22918552, 22918546, 22918536, 22918522, 22918504?\n\"Answer: -2*q**2 + 22918554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjwwbkwjbwbbbjb. What is prob of sequence kwbj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 + (5 - 7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*3*-4. Suppose -4*w = -p - 23, -2*w - w + 2*p + 21 = 0. Let y(d) = d - w + 3*d - 5*d. What is y(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkk when three letters picked without replacement from kkkqkqqqqqkk.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 410. Suppose -3*h + l = -h - p, 3*h + 2*p = 536. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/20 in -99, 61, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -111, -77, -7, 99?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4123 + -4123.4. Let t be (8\/(-42))\/(-4)*2. What is the biggest value in c, t, 4\/11, -1\/3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3791.\nAnswer: 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-39))\/(0 - (-2)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/5 of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -1\/5, 0, 26\/2963, -29 in ascending order.\nAnswer: -29, -1\/5, 0, 26\/2963, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 52173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5235851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -239\/27720 and -73\/8349?\nAnswer: 7013160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*p**2 - 32752*p + 2 wrt p.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a millennium in months?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7041, 14079, 21117?\n\"Answer: 7038*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c + 876. Find the common denominator of 149\/18 and (c\/18)\/(4\/(-3)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1, -732\/15977, -3, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -125, -502, -1119, -1970, -3049?\n\"Answer: p**3 - 126*p**2 - 6*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 2*s**2 + 5*s - 5. Let y be 0 + (-4 + 4 - -2). Let k be v(y). Suppose 26 = i - 0*h + 3*h, 5*i - k*h = 50. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*d + 212 = -257*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 308493 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 2*a - 120. Determine g(12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1.8. Let z(k) = -3*k**2 + 70*k + 332. Let r be z(-4). What is the closest to 1\/4 in r, -1\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 51\/85 - (-6306)\/(-10). Let m = 2699 + -3328. Are m and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(78) - sqrt(78)) + (sqrt(78) + sqrt(78)*-2)*-6)\/((sqrt(480)\/(sqrt(16)\/sqrt(2) + sqrt(8)))\/(sqrt(100)\/(sqrt(30)\/sqrt(3)))).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33872805, 33872803, 33872801, 33872799, 33872797, 33872795?\n\"Answer: -2*n + 33872807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*1 + sqrt(96))\/sqrt(2))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/44 and 137\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*g**2 + 2739*g - 1366*g + 4 - 1399*g to a + w*g + z*g**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) -61\/5399 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 287*a**2 - 4075*a - 1108. Give m(272).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 9*y - 19. Let s be a(-11). Suppose q - 13 = 2*t, s*q = t + 4*t + 35. Let d(f) = -f**2 + f + 6. Give d(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h - 194. Give r(26).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and -94?\nAnswer: 112.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -40651?\nAnswer: 40650.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = 114*u + 118*u - 3345 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 + 2)) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313309.1 decades in years?\nAnswer: 3133091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 961435261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 + 1 - (3 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71.4 - -71.6. Sort -6, q, 4, 2\/9 in increasing order.\nAnswer: -6, q, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -81. Suppose -c*x - p = -4164, 0 = -x - 3*p + 175 + 669. Is x a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 912 and 11018676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x + 1 - 1)*(5 - 3 - 3) + 0*x + 3*x + 0*x - x + x + x)*(-6*x**2 - 2*x + 2*x).\nAnswer: -36*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13728 and 74139?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*n + 59 - 55, s + 17 = 6*n. Which is the third smallest value? (a) -23 (b) 0.7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 5*q**4\/12 + 5*q**3\/6 + 7*q**2\/2 - 2*q - 5. Let l(n) = -4*n**2 - 4*n - 6. Give 3*d(w) + 4*l(w).\nAnswer: -w**2 - w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a - a + a)*(1 + 3 - 3) - 4*a + 2*a + a + 10*a - 2 + 2)*(-a + 3*a - 3*a + (2 - 3 + 3)*(-1 - a + 1) + (0*a + 2*a - 4*a)*(5 - 2 - 5) - 9*a - 4 + 4).\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/850*(-2)\/((-2)\/(-5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000040578 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a meter in centimeters?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b + 1452. Let c(h) = 23*h + 4334. What is 3*c(q) - 8*w(q)?\nAnswer: 5*q + 1386","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 0*v - 2 + 4*v - 3*v. Let s be b(-12). Suppose -17*t - 2575 = -s*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 43, 64, 85, 106?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 4652?\nAnswer: 4644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let x be -16 - (t + -2 + 2). Let k be x\/(-6) - 1\/2. Solve 0 = -k*o - 0*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/49 and (-107225)\/(-3198650) + (-2)\/37?\nAnswer: 24206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.67876878 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 274 - 70. Let h = 6 - -14. Suppose -u = -x - h. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89169 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25\/6, -23.1, 5, -6 in ascending order.\nAnswer: -23.1, -6, -25\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(176) + -4.\nAnswer: 1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -258*b**3 + 342*b**2.\nAnswer: -1548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1619735930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 smaller than 900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -4*t + 12, -5*t - 2*i + 3103 = 1543 + 1544 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 211356\/13 <= 16257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38.681 - 40.63. Let a = -0.051 + t. What is the fourth smallest value in a, 1, -0.2, -2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 11*l**4 - 11*l**3\/3 + l**2\/2 - 4*l - 121. Let p be v(2). Which is smaller: 307 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1941*r = -28954 - 5984 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*c - 2*u + 853, 177 = c - 3*u. Let z = 219 - c. What is the least common multiple of 36 and z?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.476 - -0.156. Round z to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 2:58 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**4)**(2\/71))**(-40))**(-6) assuming c is positive.\nAnswer: c**(1920\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544 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: Find the second derivative of 240012299*l**2*y**2 - 5*l**2*y + 77*l**2 - 3739*y - 3 wrt y.\nAnswer: 480024598*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*b - 1763 - 1287 = 0 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + 2 + 0*r**2 - 4*r**2 + 2 + r**3 + r. Let w be q(-4). Solve w = -2*z + z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 441371, 439923, 438475?\n\"Answer: -1448*t + 442819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9*k - 48. Suppose 3*r - 2*p - 14 = 10, 4*r - 21 = -p. Let w be v(r). Suppose -2*q + 0 + w = 0. Calculate the greatest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/8)\/(4669\/116 + -48 - (-7 + -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69097 is divided by 440?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*s - 11 - 10 + 21 - 211*s + 150*s.\nAnswer: 33*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 13. Let c be v(6). Let b = 1 + -4. Let y = b + c. Solve y*f = 2*f - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 8:16 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2. Suppose 0 = -5*g + 5 + 5. Let o(k) = -k**2 + 2*k**2 - 2*k**2 + 7*k**g. Calculate h(o(z)).\nAnswer: 72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 15 + 23 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 1\/30*t**5 + 0 - 1\/6*t**3 + 0*t**4 - t + 0*t**2. Let a(n) be the second derivative of j(n). Let r(z) = z. Give r(a(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*v + 2, 10*y - 4*v - 4 = 11*y. What are the prime factors of (-8 + y)\/((-18)\/1359)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**(-8)))*b**(-1\/2)*b**(2\/7)*b*b**3\/b*b)**(-12\/13) assuming b is positive.\nAnswer: b**(270\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -35*(-4 + (-48)\/(-15)). Suppose 5*j + 0 = -5. Let p = j - -5. Calculate the greatest common factor of y and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1669850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*k = -20*k + 980. Let q = 985 + -3977\/4. Which is greater: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcppcpjczznnp. Give prob of picking 2 z and 1 j.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19197 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y. Let i(g) = -7*g + 7*g**3 + 12223434 - 12223434. Determine -4*i(j) - 28*m(j).\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + w**3 - w**3)*(w**2 + 0*w**2 - 3*w**2) + w**5 - w**4 + w**4 + (2*w**3 - w**2 + w**2)*(w**2 + 0*w**2 - 2*w**2) + 54*w**5 + 470*w**2 - 470*w**2.\nAnswer: 51*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 348866 and 16?\nAnswer: 2790928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(18\/30*(-120)\/108)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-9 - -9)) + -16 + 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6101, 12130, 18159, 24188?\nAnswer: 30217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(7\/4)*w**(2\/29)*((w*w**(-1\/2)*w)\/w)\/(w*(w\/((w\/(w\/(w**(1\/43)\/w)))\/w*w))\/w) assuming w is positive.\nAnswer: w**(6695\/4988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1281409*i**4*x**2 + 9*i*x - 60*x**2 - 19*x wrt i.\nAnswer: -15376908*i**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 9:16 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + p + 2. Let y(q) = -6*q**2 + 627*q - 4. Give -y(a) - 2*z(a).\nAnswer: 2*a**2 - 629*a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n**4 + n**2 - 2*n**3 + 7*n + 1 + 8*n**4 - 24*n + 1 to d*n + c*n**4 + i*n**2 + p*n**3 + w and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73 - -354.\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + p - 11 = 0, 4*p - 22 = -2*o + 7*o. Let u be o*(9\/6 + -1). What is the closest to -0.1 in u, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536295 is divided by 135?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 195376 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 20. Suppose u + 5 = 2*p. What is the lowest common multiple of 1 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35886981 and 676.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 4*m + 2*n - 12, 0 = -5*m - 2*n - 20. Let l = 12 + -12. Suppose z + 5 = -l. Sort m, 2, z.\nAnswer: z, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 885 = -3*g, -5*i + g + 2027 = 532. Let s = i + -300. Solve -2*n + s*n - 21 = 5*r, 0 = n - r - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -937 + 937. What is the fourth smallest value in 1, 2, 10, d?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 - 291. Let h = y - -186. Let q = h + -53.9. Round q to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 128 = -128. Solve 0 = -l*c + c - 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-9 - -9) + 4 + -14 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -89000, 4, 8 in descending order.\nAnswer: 8, 5, 4, -89000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/(-57) - 1\/3*-1. Let i(o) = 80*o - 2. Does 26 divide i(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14800000 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 9:53 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.021.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 17942*o + 17894*o + 1953, -5*o = -2*p - 211 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k - 30. Let l be h(-6). Suppose -6 = -3*m + 3*a, -3*m - a = -0*m - l. Factor -6\/5*q**3 - 4\/5*q + m*q**2 + 0.\nAnswer: -2*q*(q - 1)*(3*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*q**4 + 2*g**3*q**2 + 136*g**3 - 711*g*q**4 + g*q**3 + q**2 wrt q.\nAnswer: 24*g**3*q - 17064*g*q + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 4, -3, -339 in descending order.\nAnswer: 6, 4, 2, -3, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -1785*t + 1789*t + 10, 5*t = z - 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (0 + (7 - 9))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2. Let d be c(1). Solve -3*b - 2*i = 10, 2*b - b + 6 = d*i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 164*y - 62. Let r be q(10). Is (2\/6)\/(2\/r) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48823.309 to the nearest 10.\nAnswer: 48820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 203*q**2 - 12151 + 12151 to g + h*q + y*q**2 and give y.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 84*z**4 + 2980*z**3 - 22788*z**2 + 34556*z + 14160 = 0. Calculate z.\nAnswer: -295\/7, -1\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/3 + 0 + -1)\/(-2). Let w be 3*(-6)\/(-27) - m\/9. Sort -3, 4, w.\nAnswer: -3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2248 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) -70\/117 (c) 8\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*l + 58*l + 2580 = -70*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/194268 and 30\/1764601.\nAnswer: 21175212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/22 - 276\/(-66). Suppose -566 = -3*n - 4*m, -n + a*n - 590 = 2*m. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/310580 and 137\/18.\nAnswer: 2795220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6397.000012194 + 6397. What is b rounded to 7 dps?\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 10*j**2 - 12*j - 19. Let b be h(-11). Let c(m) = 3 + m - 6*m + 2*m. Is 27 a factor of c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866005 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 43 - 43)*(6 - 18*q**3 - 1 - 3).\nAnswer: -54*q**5 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*c**3*o**3 + 2*c**3 - 14*c*o**6 - 2*c*o**3 - o**2 - 4482 wrt o.\nAnswer: -450*c**3 - 1680*c*o**3 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*b + 28 = -2*o, -3*o + 2*b - 54 = 0. What is the common denominator of 132\/(-32)*(-48)\/o and -15\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 <= -2751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60215 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/2 + 257 + -251?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:08 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*(-2 + sqrt(1152)) + (sqrt(18) + sqrt(162) + -5 - sqrt(18)) + sqrt(72)\/sqrt(4)*3)**2.\nAnswer: -2964*sqrt(2) + 26164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + 1 + -5 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c - 12023 - 2902. Is 38 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665.24 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltlxxdxxxxllxxt. What is prob of sequence tt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4551*j**3*m*z**2 + 4*j*m*z**2 - 3186*m*z**2 + 24*m wrt j?\nAnswer: -13653*j**2*m*z**2 + 4*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-82859)\/(-76) + 14\/8.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0053389 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 9\/(-5 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g - 3*o, -4*o = g + 4*g - 32. Suppose 20 = -3*k + 8*k, r = g*k + 207. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (800\/(-600))\/((-7)\/((-252)\/16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*i - 82 - 104 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 89.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172715 or 1004?\nAnswer: 1004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*24\/(-9). Let c be -4 - i\/8*(-2 - 0). Let q(y) = y**3 + 8*y**2 + 4*y + 2. List the prime factors of q(c).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/46 and 16\/5358839.\nAnswer: 10717678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 979 divide 782551902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2668 + 0.272405. What is z rounded to 4 dps?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**3\/6 - 62*m. Let v(u) = 79*u + 3*u**2 - 79*u. Give w(v(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 208, 272, 336?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - 0.33. Let g(p) = -p**2 + 2*p + 6. Let d be g(3). Let u be 4\/d*(111\/(-30) - -4). Which is the nearest to u? (a) i (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**3 - b**2 - 3*b. Let d(x) be the third derivative of x**6\/30 + x**5\/60 + x**4\/6 + x**2 + 13. Determine 5*d(s) + 7*i(s).\nAnswer: -s**3 - 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16696842 + 4921*w**3 + 16696842 - 4912*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6792 = -3*g, -19*g + 20*g - 4 = 0. Calculate the highest common divisor of 1638 and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-30)\/(9\/3). Suppose 2*r - t = 3*r - 4*q, -r = 3*q - 11. Suppose -4*x = -r*x - 6. Sort 0.1, 3\/4, x in ascending order.\nAnswer: 0.1, 3\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17670672+-38312057\nAnswer: -55982729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 + -0.2. Let x = 0.4451 - 0.5551. Let q = x - d. Which is the closest to q? (a) -1 (b) 5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50 or -1\/28397?\nAnswer: -1\/28397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 115, 662, 2063, 4714, 9011, 15350, 24127?\n\"Answer: 66*m**3 + 31*m**2 - 8*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2 - 5*d - 14. Let n(o) = 2*o**2 - 2*o - 5. Let m(f) = -3*f - 4. Let i be m(-5). Let w = -108 + 259. Let h = -155 + w. Calculate h*k(p) + i*n(p).\nAnswer: 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(133)\/sqrt(63)) + -2)**2 - 1*(sqrt(304)*1)**2.\nAnswer: -2624\/9 - 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 22410\/1781?\nAnswer: 22410\/1781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 less than -2.74831?\nAnswer: -1.24831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1584750 is divided by 1584649?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 times -7442\nAnswer: -16372.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257, 270, 291, 320?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20000010 (base 3) to base 12\nAnswer: -2649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47172\/(-746890)*(-30)\/(-4).\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -2\/115, -2\/25.\nAnswer: -2\/25, -0.02, -2\/115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 49136084 to the nearest 10000.\nAnswer: 49140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.015 - -3.1. Let i = g + 0.215. Put 0.4, -2\/15, i, 0.2 in decreasing order.\nAnswer: 0.4, i, 0.2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -3\/2, 1\/181, 1\/6, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(28)\/(sqrt(1620)\/sqrt(5)) + 1 + sqrt(77)\/((sqrt(22)*3)\/sqrt(2)) + 4))**2.\nAnswer: 40*sqrt(7) + 2137\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 2\/17, -1\/3, 1921, -0.5, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43901121, -1, -4.\nAnswer: -4, -1, 43901121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 9. Suppose b - 62 = -v*t, b + 23 = 3*t - 35. Suppose -7*o = -76 + t. Solve u + u = -o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/(-30)*3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -2\/33, -0.04, 0.5?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19 - -7) + -16 - -3) + 1 + 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-14 + 29 - 5 + 2*u).\nAnswer: 4*u + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 93.71213 kilograms?\nAnswer: 93712130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**5\/20 - f**4\/24 - 4*f**2 + 3*f. Let u(r) = 0. What is r?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - (-2 - 11 - -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v. Let n(k) = 731*k**2 - 50*k - 2. Let m(t) = 621351*t**2 - 42525*t - 1701. Let h(s) = 2*m(s) - 1701*n(s). Give o(h(l)).\nAnswer: 1458*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*g - 11, -2*g - r - 2 = 3*r. Let q = 3 - g. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -695 - -698. Solve -11 = -5*i + 5*a - 6, z*a = -2*i - 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1780, -3484, -5162, -6838, -8536, -10280, -12094?\nAnswer: -14002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 27)*(-1 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j - 2*j)*(2 - 5 + 2) - 4*j + 0*j + 6*j + 2 - 3*j - 4*j + 2*j.\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/3)*s*s**5\/s*s)\/(s*s**(1\/2)\/s*s)**(-49))\/((s\/(s\/s**2)*s**(1\/3))\/(s\/(s**(-6)*s*s)*s\/s**(1\/3)*s)) assuming s is positive.\nAnswer: s**(171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69828 and 18183.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**9\/2520 + c**7\/140 - 5*c**4\/6 - 4*c. Let a(o) be the third derivative of g(o). Find the third derivative of a(y) wrt y.\nAnswer: 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-55)*(-2)\/((-12)\/(-3))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3446*n - 160. Let v be l(14). Let z = v + 77409. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 3, -9\/23, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**23)**(-1\/5))**(-1\/8))**27 assuming r is positive.\nAnswer: r**(621\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*x = -2*z - 2728, -3*z - 1370 = -x. Let a = x + -588. What are the prime factors of a?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(4\/(-10)) - (-9282)\/(-1365)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59476772 is divided by 1338.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-6) + 2\/3. Let n be 0\/(2 + -3) + 2. Suppose -n*q = 2*q. Put 1, q, l in descending order.\nAnswer: l, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -294 (base 12) to base 11.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 0.01, -1\/6, 3.13?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*r - 3320 = -235*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 1182265551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48779, 48783, 48787, 48791?\nAnswer: 48795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 37*g + 14*g + 126 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 383415489.\nAnswer: 2\/383415489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*(-4 + sqrt(325) + sqrt(325) + -1 + -1) + 5 + -5))**2.\nAnswer: -38880*sqrt(13) + 432864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 3*l**2 + 3*l. Let d be f(2). Let z be (-1)\/d*(1 + -1). Suppose -2*o = -z*o. Sort -5, 2, o.\nAnswer: -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/462)\/(2627\/994).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37015697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116\/696)\/(140\/(-720)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/20 - l**4\/12 + l**3\/3 - l**2 + 5664*l. Let p(d) = 1. Let w = 2 + -4. Give w*p(r) - y(r).\nAnswer: -r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (11 - 37 - -10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**3 + 2*t**2 + t - 2. Does 18 divide c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 39\/130 + 2691\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 100502332*d**2. Let o(t) = 2*t**2. What is o(a(h))?\nAnswer: 20201437474876448*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8. Let q = 13 - i. What is the remainder when 50 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (4 - (22\/1 + -5)). Find the third derivative of -6 + i + 25*s**2 + 35*s**5 - s**3 - 5 wrt s.\nAnswer: 2100*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -125*(-4 - 34\/(-10)). Let q = j + -35. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 11115.\nAnswer: -1\/3705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 37 + 93. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -78, -0.4, 2, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (60\/2)\/((-2)\/(-4)). Calculate the highest common factor of 80 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 57\/(-114)*(-1 + -7)*1. Suppose -3*b = -4*k + k - 33, j = 2*b + 4*k. Solve b = 4*z - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54336 and 1728?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 772.4401 micrograms in grams?\nAnswer: 0.0007724401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*16\/12. Is 9 a factor of ((-39)\/v)\/((-21)\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5875 and 198575?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19095 divided by -8?\nAnswer: -19095\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 - 16*i**2 + 16*i**2)*(-3 + 2 - 1) + 0*i**3 - 5*i**3 + 3*i**3.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/1948779 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92396*q - 67*q**3 - 92396*q)*(4 - 4 + 10*q).\nAnswer: -670*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - -13512?\nAnswer: 13453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (-4 - (6 - -7)) + 24?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1540 by 385.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10.01 or 0?\nAnswer: 10.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 1889484?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*g + 1150 + 126 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*n = 188*n - 19460 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37145, -74333, -111523, -148715, -185909?\nAnswer: -223105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13078.2l to millilitres.\nAnswer: 13078200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(2\/(-28)*-26). Is -2 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25519 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*u - 558 + 188 = 488 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 109*x**2 + 2*x - 1. Let g be m(1). Let c(v) = -v**2 - 15*v + 10. Let w be c(-15). What is the greatest common factor of w and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z + 18*z + 35 = -19. Solve 4*x = -4*r + 4, -4*x - r - z*r = 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183005 = 2*c - 5*l, 7*c - 2*c = l - 457501. Round c to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.69? (a) 2 (b) -2\/17 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 - -1101330341?\nAnswer: 1101331002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2684657330.\nAnswer: 2, 5, 268465733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 - 9.5. Let k = 5 + a. Let q = 2.8 + k. Put 5, q, -1 in ascending order.\nAnswer: -1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7488000 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28539 - -1?\nAnswer: -28538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -866.\nAnswer: 1\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x**2 - 6444*x - 43430. What is g(-579)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9666802.\nAnswer: 2, 29, 166669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, d: 5}. Give prob of picking 4 d.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 18*m + 30. Is 9 a factor of n(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:32 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/18*69\/(-12) and 19\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14348 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20269.9 - 20267.9. Let f = 1 + -2. Sort f, 0.9, 0.1, x in increasing order.\nAnswer: f, 0.1, 0.9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144127 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2 - 2. Let q = 44 - 50. Let p(x) = 5*x**2 - 34*x + 8. Let k(b) = -2*b**2 + 12*b - 3. Let s(h) = q*p(h) - 17*k(h). Give 3*l(r) + 2*s(r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508471851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4667\/3*-1*(72 + -75)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 12:23 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 2\/571, -1\/2, -17, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*4\/(-30)*3. Let g(f) = f**3 + 2*f**2. Let b be g(q). Let y be ((-6)\/4)\/(1\/2). Sort b, 5, y.\nAnswer: y, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/26019859 and -71\/6?\nAnswer: 156119154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112870 is divided by 613?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -215, -427, -635, -839, -1039?\n\"Answer: 2*r**2 - 218*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*c - 600 = -10*c - 47*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b - 58 = 38*b. Suppose -x - 5*a - 9 - 6 = 0, 2*a = 2*x - 30. What is the remainder when b is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0)\/((-597)\/(-796))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20, 184, 496, 956, 1564, 2320?\n\"Answer: 74*f**2 - 58*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*y**5\/3 - 476*y**4 - 5104*y**3\/3 - 6496*y**2\/3 - 864*y - 320\/3 = 0 for y.\nAnswer: -10, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**5\/60 - h**4\/8 + h**3\/2 + 2*h**2 - 17*h. Give o(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/4)\/((-60)\/32) - 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -876 + 4470*r**2 + 4*r - 5*r - 1227 + 794 - 3037 wrt r.\nAnswer: 8940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1223790 and 1060618.\nAnswer: 15909270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 6*z**2 + 3. Let w be y(6). Suppose -5*f = 0, -15*q + 12*q = -3*f - 12. Solve -q*r + 3*r + w = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6) + 6 + (4 - 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266778*u**2 + 266768*u**2 - 6*u**3 - 3*u**3.\nAnswer: -9*u**3 - 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 27. Suppose m + g*p - 3*p - 71 = 0, 261 = 3*m + 3*p. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122 + 66. Let l be (j\/16)\/((-4)\/8). Suppose -l*w + 751 - 9 = 0. What is w rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 26665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 + -102?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/7 + 19137067*d**2\/7.\nAnswer: d**2*(d + 19137067)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -143262, -573052, -1289370, -2292216, -3581590?\n\"Answer: -143264*i**2 + 2*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -2*i**3\/3 + 7*i**2\/2 + 18*i + 62. Let r be x(5). Solve g = r + 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 2:54 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 8*u**2 - 8. Suppose 4*z = 2*i + 3*z - 259, 0 = -3*z + 9. Let p = i - 128. Let n(b) = b**2 - 1. What is p*h(s) - 24*n(s)?\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0084805348 rounded to five dps?\nAnswer: 0.00848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 94559 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 4*s - 179. Suppose 0 = -2*b - 6, -4*u + b = s - 553. What is the greatest common divisor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1171732555?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*v + 3*x - 116, 2*v + 3*x = -37. Let p = -11 - v. Let a = -2 + p. What is the remainder when 12 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*n - 2, 3*f - 2*f + 2 = 2*n. Let l(y) = -21*y + 43*y + 5*y**3 - 24*y. Let v(k) = 11*k**3 - 5*k. Give f*v(w) - 5*l(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 4*y**2 - 14*y + 35. Suppose -2*b - 2*h = -10, 5*h - 7*h - 26 = -4*b. What is the tens digit of f(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 0*b + b**2 - 5*b - 2*b**2 + 9. Let a be y(-7). Let k(o) = -2*o - 3. Is k(a) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2283 and -16845?\nAnswer: 38457135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -3 + 44 - (15 + -31)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-1)*l)\/l*l)\/l)**(5\/8))**27 assuming l is positive.\nAnswer: l**(-135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4*p + 24 = 0, -4*b = 5*p - 699 + 684 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2))**(-22\/5)\/(((h*h**(-1\/14))\/h)\/h**(-2))*(h*h*h**5*h**(-1\/5)*h)\/(h**(2\/9)\/h)**(6\/31) assuming h is positive.\nAnswer: h**(24881\/6510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 22. Let s be 45 + b + -3 + -1. Let u = s - 37. What is the remainder when 5 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -311 + 590*k**5 + 311 + (-k - k + k)*(2*k**4 + 0 + 0).\nAnswer: 588*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 12439 = 3*x, -2*x + 16*v = 13*v - 8280. Suppose 5*q - x = -708. List the prime factors of q.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/8)*x**10)**(-3\/23) assuming x is positive.\nAnswer: x**(-249\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*n**2 - 53*n**2 - 48*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6079*i + 42675. Determine s(-7).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 12:09 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1, -2, 40254?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 5*n + 17 = -10*s, -n + 8 = 3*s. What is the second derivative of 72*g**s - g**4 + 3*g**4 + 1424 + 10*g - 1425 wrt g?\nAnswer: 24*g**2 + 432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 47*c + 87. Determine i(49).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((75\/66)\/(-5))\/(2\/((1536\/(-16))\/(-12))).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65514192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 40*d**2 - 2*d - 1. Let j be o(-1). Suppose -5*n + 14 + j = 0. Find the second derivative of 2*u + 5*u**5 - 2*u - 7*u - n*u**5 wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277168 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2316 divided by -2567.\nAnswer: -2316\/2567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 22\/661163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*g + 275*g - 17794 = 0 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351*o + 371*o = 1860. Calculate the greatest common divisor of 14043 and o.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -15. Suppose m = 3*s + r, 3*s + 0 = -m - 5. Is 14 a factor of 49 + m + (0 + 1)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3336613 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310222303 (base 4) in base 11?\nAnswer: -2a7042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/92 and -81\/8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, h: 4, d: 2}. What is prob of picking 1 d and 1 h?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/21*(-11172)\/(-1140).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let w(g) = -2*g. Suppose -3*k + 2 = -4*t - 0, 0 = -5*k + t + 9. Let l(p) = k*w(p) + 6*a(p). Let z(r) = -r. Calculate z(l(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 + 7*v - 6. Let y(l) = -7*l**2 - 8*l + 7. Let z = -6 - -11. Let n(h) = z*y(h) + 6*i(h). Let p be n(-2). Let f(g) = -2*g**3 - 1. Calculate f(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1456, -3, 1, -1 in decreasing order.\nAnswer: 1456, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2299) + (sqrt(2299) + 3*sqrt(2299))**2 + sqrt(2299) + -2.\nAnswer: 22*sqrt(19) + 36777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/34872 and 65\/7419018.\nAnswer: 29676072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c. Let g = 14 - 10. Let f(n) = g*n**2 - 3*n**2 + 3*n**2 - 10*n**2. Let k(d) = -5*d**2. Let a(y) = -6*f(y) + 7*k(y). Determine a(m(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -38*g + 354. Let r be q(9). Let j = 19 + 5. Calculate the highest common factor of j and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*m + 69*m + 2016. Let l = m + 149. Let r(a) = a**3 - 4*a**2 - 2*a - 11. Calculate r(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/6 + 83*s**3\/6 - 182*s**2 + 834*s - 1224.\nAnswer: -(s - 68)*(s - 6)**2*(s - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2)\/((-2)\/1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 d when three letters picked without replacement from {d: 2, z: 2, q: 11, x: 5}.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m**3 + 2*m**2 + 2 + 34*m - 8*m - 24*m. Let u(l) = -10*l**3 + 3*l**2 + 3*l + 3. What is 3*b(y) - 2*u(y)?\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z*z*z**(3\/17)*z*z)\/(z**(5\/7))**(6\/17) assuming z is positive.\nAnswer: z**(-128\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-9))\/((-2)\/18). Suppose -4*w + 5 = -j. Suppose 21 + 189 = w*o. What is the highest common divisor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1744 and 1790543?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + (-2810)\/250)\/(4\/(-40)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314412 to the power of 1\/2, to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1196 + 413 + d + 373 + 410.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 326612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/(-42) + -3)\/((-16)\/40)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -6 + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x + 35 = 0. Suppose 0*r - 4*r = -3*g + x, 20 = 4*g. Solve u = r*y + 7, -3*u + 2 = 2*y + 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - 3*s - 6. Let u(f) = 8*f**2 + 7*f + 12. Let w = -102 + 107. Let y(o) = w*l(o) + 2*u(o). Find g, given that y(g) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(75)*-2 + sqrt(75))*5 + 5 + sqrt(75)*2 + 2)**2.\nAnswer: -910*sqrt(3) + 12724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 0*y + 3*y)*(-7 - 44995*y - 5 + 45006*y) as r*y + l + d*y**2 and give d.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2414 and 185026.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.81 times -83.111\nAnswer: -150.43091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - 3124?\nAnswer: -3138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40218927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/323 + 636\/1615. Which is the biggest value? (a) 3 (b) w (c) -4 (d) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233.6*1.081.\nAnswer: 252.5216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -3410?\nAnswer: 3405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1405375 and 0.2?\nAnswer: 281075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + sqrt(133)\/sqrt(7) + 0)**2.\nAnswer: 4*sqrt(19) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.59365926 rounded to 1 dp?\nAnswer: 27.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-27))\/(1 - 15\/10). Let k be 40\/24 + 12\/(-72). Which is the smallest value? (a) 3\/5 (b) -4 (c) l (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48628289?\nAnswer: 83, 585883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 89\/7 or 12?\nAnswer: 89\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249235 + 249237 + 0*x**3 - 498472 - 20*x**3.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.34 - 0.66. What is the smallest value in 1, z, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9583094 microseconds?\nAnswer: 0.0000009583094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13673*q + 13662*q + 86 = s, -6 = -q - s for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 1, k - 2 = -0*u + 4*u. Let a = k - 3. Let g(i) = -a*i + 5*i + 0*i - i. Let d(w) = -4*w**2. Determine d(g(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*n + 151 = -4*n, -h = -2*n - 32. Let t(l) = -2*l + 3 - 5 - 9*l. Let o be t(-2). What is the greatest common divisor of o and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-312)\/44 - 1) + 3 and 333\/(-20)*9\/54.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3579.5107 rounded to the nearest integer?\nAnswer: -3580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 4)*(9 + (-1496)\/168). Let m = 0 + -0.2. Let a = 16\/5 - 3. What is the nearest to m in a, 5, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-25305)\/14)\/(-15)*-4*4\/8. Is y not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - y**2 - 5*y)*(3*y - 3*y + 2*y) - 3*y**3 + 4*y**3 + 4*y**3 - y**3 + 0 + 0 + y - y + 2*y**3 + (2*y + 4*y - 4*y)*(-3*y**2 + 0*y**2 + 5*y**2).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 4*m + m. Let b = -3649 + 3654. Let p(t) = 2*t**2 + 4*t + 2. What is b*i(a) - p(a)?\nAnswer: -2*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 6 = 3*t, 2*u = -0*u + t - 4. Let h be 0 + u + -4 + 3. Let i = 3 - h. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -542*f**2 - 978*f**2 + 1150*f**2 + (-5 + 2*f + 5)*(-2 + 6 - 2)*(-393 + 393 - 2*f).\nAnswer: -378*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 20216?\nAnswer: 20217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 0*u + 11*u**3 - 1\/4*u**4 + 0 - 121*u**2 = 0.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -14*f**2 + 1 + 30*f**2 - 15*f**2. Let b(p) = p**3 + 6*p**2 + 7. Suppose 0*h = -5*h + 30. Give h*n(u) - b(u).\nAnswer: -u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + c - 4. Let m be g(-3). Suppose 0*h + 3*q + 3 = m*h, -q = -3*h + 8. Let j(x) = -x**2 + 3*x + 1. Calculate j(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*12704\/(-20064) + -7.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/2)*p\/p**12)**(1\/4))**(3\/35))**(-18\/11) assuming p is positive.\nAnswer: p**(81\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*b = 18, 0 = -4*b - 0*b + 20. Let x(u) be the second derivative of u**5\/20 + 2*u**4\/3 - u**3\/2 - 4*u**2 + 2578*u. Determine x(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 1\/30*j**6 + 8*j + 0*j**3 - 2 - 4\/9*j**4 + 1\/15*j**5 - 1\/126*j**7 + 8\/3*j**2. Factor o(d).\nAnswer: -(d - 2)**3*(d + 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 0 - 2 + 2 + q**2. Let m(k) be the third derivative of 75*k**4\/8 - k**2 + 477. Give m(n(y)).\nAnswer: 225*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 2)*(0 + 2 + 3) + 3 + 3 - 4)*(2*q**3 - 2*q**3 - 5*q**3).\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44337*w**2 - 76097*w**2 + 31761*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7421242*k - 791474 with respect to k.\nAnswer: -7421242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + o + o + (2 - o - 2)*(3 + 1 - 2))*(-1 + 2 + 4) + 4*o + o - o + (0*o + o - 2*o)*(-3 + 5 - 1) to the form y + v*o and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2133 divided by -2.\nAnswer: 2133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/6753653 and 45\/8?\nAnswer: 54029224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14676\/(-2079) - 4\/6. Let f = o - 4\/77. Find the common denominator of -59\/7 and f.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (9 + -7)) + 0 + 12 - (73 - 4)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.019 and 34.457?\nAnswer: -0.654683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -217248.208 rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z - 29. Let s be h(26). Let i(n) = 3*n**2 - n - 1. Let y be i(-1). What is the highest common factor of y and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*z + 13. Let t be z - (3824\/(-4) + 3). Suppose 2*m = -m + t. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -114, -13835 in decreasing order.\nAnswer: 5, -4, -114, -13835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3357 - -3.7946582\nAnswer: 3360.7946582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000055142699 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1045*j**2 - 1813*j wrt j?\nAnswer: -2090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8306829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.369 + -0.031. Let x = -21 + 85\/4. What is the closest to x in o, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 25275 - 25275. Let s(l) = 16*l + 8. Let v be 9\/2 + (-3)\/(-6). Let o(x) = 11*x + 5. Let c(j) = v*s(j) - 8*o(j). What is u(c(g))?\nAnswer: 128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 13 = 3*s, n + 2 = -0. Let k be 9*(-8 + 3)\/s. Calculate the greatest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -20*w**7\/7 - w**5\/12 + 11*w**4\/12 - 391*w**2. What is the third derivative of v(r) wrt r?\nAnswer: -14400*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 16 = -0*y - y, -2*y - 3*p - 7 = 0. Solve y*i = -5*r + 13, -4*r + 2 = 4*i - 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**2\/5 + 8336*p\/5 = 0.\nAnswer: 0, 2084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 3:16 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 19595*g + 2. Let d(y) = -2*y**2. Give s(d(u)).\nAnswer: -39190*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 39, -66, -171?\n\"Answer: -105*g + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -7*q + 3*q + 863, 2*q = -5*j + 1457. Calculate the common denominator of 714\/20*7\/84 and (-174)\/29 - j\/(-36).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 215293427 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 113, 7, 52, -8, 0.\nAnswer: -8, 0, 1, 7, 52, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 27*l + 16 - 8 + (1 + 0 - 2)*(0 - l + 0) + 0*l + 0*l + l - 2*l + 8*l - 2*l + 2*l - 5*l + 4*l to the form j*l + q and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlwwglgglllw. Give prob of picking 2 l, 1 g, and 1 z.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77735466073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -218*i - 4. Let o(n) = 437*n + 9. What is 2*o(v) + 5*y(v)?\nAnswer: -216*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16661875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159\/6574 or 1?\nAnswer: -159\/6574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/21925 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 - 3*c**3 - c**4 - 4*c**2 + 11*c**3 - 10*c**3 in the form j*c**4 + r*c**3 + x*c + d + o*c**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*v + 3342, 4*h = 2*h + 4. Let n = v - 2275\/2. Calculate the common denominator of n and 71\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170.9998795 + -171. What is s rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -935 = -2*w + 5*p + 57, 0 = -4*p - 16. Let n(b) = -486 + 6*b**2 + w. Let i(a) = 2*a**2. Give i(n(g)).\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 10 - 1 - 5. What is u(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 0*n**2 - 99*n - n**2 + 113*n + 6. Is 21 a factor of k(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*n - 18 - 60, 2*q = -2*n - 60. Let v be (84\/98)\/((-3)\/n). Find the third derivative of 6*i**4 + 3*i**4 - 5*i**4 + 20*i**2 - v*i**2 wrt i.\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3\/7 - 156*d**2\/7 - 3190*d\/7 - 5772\/7 = 0.\nAnswer: -39, -37, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m**3 + 5*m**2 + 5. Let q(a) = -14*a**3 + 7*a**2 + 7. Let h be 5 + (-7)\/(14\/(-4)). What is h*n(b) - 5*q(b)?\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203607, -814991, -1834153, -3261093, -5095811, -7338307?\nAnswer: -9988581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (2\/(-2) - -1). Suppose -v - 9 = -2*c, 2*c = 5*c - 12. Let m = l + v. Which is smaller: m or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - i**2 - 2*i - 3. Suppose -2*q = 5*p - 2 + 5, -5*p - 4*q - 11 = 0. Let v(r) = r**2 + 1. Let g(w) = p*s(w) + 2*v(w). Is g(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 2602*j**2 - 1294*j**2 - 1271*j**2 to b*j + i + d*j**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*i + 11 = 0, -2*s - 5*i = 2*s - 65. Let a(k) = k - 2. Calculate the least common multiple of a(14) and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 + 4 = -2*z, 0 = -3*i - 2*z + 23. Let b(a) = 9*a**2 - a + 2. Let w be b(1). Calculate the least common multiple of i and w + (-1 - -3) + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -5 - (13 + -23). Solve -t = f - 2*f, 24 = r*f + t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17399642870 to the nearest one hundred thousand.\nAnswer: 17399600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 293*m**2 + 2*m. Let p(l) = -28*l**2. Determine z(p(j)).\nAnswer: 229712*j**4 - 56*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41.4 + 41. Sort 0.5, -2\/11, a in decreasing order.\nAnswer: 0.5, -2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Let a(m) = 5*m**2 - 2 - m - 5*m**2 + m**3 + m**2. List the prime factors of a(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 531 - 437. Solve -c*h - 12 = -97*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 3}. What is prob of sequence ggg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4884000 to the nearest 100000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 2*f**6\/15 - 2*f**5\/5 + 4*f**3\/3 - 2*f**2 + 29*f. Let k(b) = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.64919 millennia in years?\nAnswer: 56649.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 6. Let a be q(5). Let d be (a\/6)\/(6\/369). Let k = d - 19. What is the remainder when k is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -34 - (0 + 1)*(6 + -5). Is -35 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12128218 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 5*m - 2*m)*(102*m + 44*m - 24*m) in the form p*m + w*m**2 + r and give w.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -86 + -2?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34a (base 13) to base 7.\nAnswer: -1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(23\/(-63) + 4\/18). Let q be (-3)\/(-2)*r\/14. Which is bigger: 0.53 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -13. What is the remainder when 27 is divided by 33\/6 + 4\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -473 + 420 - (-28 + 0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.048? (a) -0.204 (b) 2 (c) 9.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 72. Calculate the remainder when 19 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -166, -5, -10 in decreasing order.\nAnswer: 5, -1, -5, -10, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 383847817 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 340*o = -338*o + 484, n = 2*o + 160. What is the least common multiple of n and 6?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -164\/11 in 0, 63, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010474 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -173*n**2 + 4*n + 78. Let r(b) = -43*b**2 + b + 19. Let a(x) = -26*r(x) + 6*s(x). Does 24 divide a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 76 - 7*q + q**2 - 47 - 38. Give g(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-7 - 1) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -7\/9, -9, 4, 0.236 in descending order.\nAnswer: 4, 0.236, -7\/9, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1328835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*-2*(-120)\/(-192).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*n + 14. Let u(d) = -d**2 - 7*d + 3. Is u(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2377051?\nAnswer: 3\/2377051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*l = 8 - 282, -2*l + 341 = 5*n. List the prime factors of n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -433, -625, -947, -1399, -1981?\nAnswer: -2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 441919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8481118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + x = -43, -18 = 591*s - 590*s + 3*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (3 - 1) - (-24 + 28) - -16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1 (b) -18 (c) -2\/913 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 9 = -f. Suppose -1220*b - 13720 = -4650*b. Solve -18 = -4*i + 3*i + f*r, 0 = 4*i - b*r - 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81994 divided by 6?\nAnswer: -40997\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 113769.214 to the nearest ten.\nAnswer: 113770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -628\/9 + 4378\/63. Sort b, 2\/43, -0.5 in ascending order.\nAnswer: -0.5, b, 2\/43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -34. Calculate the smallest common multiple of 92 and z.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 + 16*r**3 - 97)*(-5 + 2 + 1)*(4 + 8*r**2 - 4).\nAnswer: -256*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g*l - 13361*g - 7048*l wrt l.\nAnswer: 3*g - 7048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01336023538 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -823 + 853. Suppose n*u - 68652 = -6*u. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4393 and 336542.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 12) to base 10\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15219 or -15276?\nAnswer: -15219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -15535351?\nAnswer: -15535344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3 + 7 = 0, -4*q = -o - 1. Let y = -18 - o. Factor -p**2 - 2*p**4 - p + p**y + p**4 + 3*p**4 - p**4.\nAnswer: p*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 - -100. Let r(v) = -w*v + 4*v**2 - 9*v + 14*v. Let c(z) = -6*z**2. Give r(c(t)).\nAnswer: 144*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*p + 14, -4*a + 4*p + 8 = -0. Suppose 5*q = 3*q + a. What is the third derivative of -5*r**2 - 6*r**2 + 2*r**4 - q*r**4 wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/622 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.911 + -33.089. Sort s, -32, 1\/5 in increasing order.\nAnswer: s, -32, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*s**2 + 0)*(4 - 1 - 2) + (3 - 2 + 1)*(2*s - 2*s + 2*s**2) - s**2 + 10*s**2 + 3*s**2.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**2 + 48*u + 3. What is the least common multiple of 12 and y(9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5752.9996904 - 5753. What is y rounded to five dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125096 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.9 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42965 + -17180.\nAnswer: 25785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 22*g**3 + 3 + 8*g**2 - 10*g**2 + 1 - 25*g**3 - 2 in the form c*g + d*g**3 + q*g**2 + o and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2968 = -5*h + 2997, -2*h + 2368 = -2*d. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11\/18 + -10\/9. Let h = -9 - -6. Let q = 4 + h. Which is the biggest value? (a) q (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75637323 and 16808294.\nAnswer: 151274646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**9\/141120 + g**8\/47040 + g**7\/5880 + g**5\/30 + 4*g**2. Let r(d) be the third derivative of k(d). Factor r(x).\nAnswer: -3*x*(x - 2)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225+16635725583\nAnswer: 16635725358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -775 - -777. What is the closest to -2\/3 in -0.02, 34\/7, d?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48481*q**4*u + 2*q**4 - 2*q**2 + 54*q*u + 90*u wrt q.\nAnswer: -1163544*q*u + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((5676\/154 - 36) + 66\/21)*2\/36. Find n such that -8\/9*n - p*n**2 + 64\/9 = 0.\nAnswer: -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1705 is divided by 420.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -182 - 634?\nAnswer: -7b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -2\/3, -3, 0.4.\nAnswer: -3, -2\/3, 0.4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1066*g**3 - 1 - 43*g**2 - 1026*g**3 + 1 wrt g?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(70) - sqrt(70)*-3 - sqrt(70)))\/(sqrt(120)\/sqrt(432)).\nAnswer: 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*v + 98 = 0, 70 = m - 3*v + 10. Let h be (m\/(-45))\/(6\/(-100)). Let c = 22 - h. Solve -c*b + 5*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -29. Let u = -54 - -54.4. Which is the nearest to 1? (a) p (b) -1\/10 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04 and -3054525.\nAnswer: -3054524.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5271 divided by 11\nAnswer: -5271\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5335 and 90?\nAnswer: 96030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 6. Let p(t) = t**2 - 4*t. Let v be p(6). Let c(h) = -14 - v*h - 3 + 7*h + 8*h. Calculate 4*c(z) + 11*i(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.013 + -0.044. What is s rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3 - 298096*x**2 + 22128905997*x + 12890289870882 = 0.\nAnswer: -578, 149337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1793*a - 480. What is the thousands digit of f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Suppose 4*i - 112 = -0*i - 2*z, i - 29 = -z. Suppose -72 = i*d - 36*d. Solve -d = -7*f + 2*f - 4*m, -3*f + 21 = -k*m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**3 - 56*j**2 + 20*j + 40. Let v(z) = -z**3 - 19*z**2 + 7*z + 13. Let p(r) = 8*v(r) - 3*x(r). What is a in p(a) = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 22960.\nAnswer: 22955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k**3 - 3*k**2 - 4*k + 3. Let b be u(3). Let l be (2 - -1)\/(18\/2622). Let r = b + l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*g - g - 6 = 0, 2*g = w - 3. Suppose 0 = w*v - 394 - 53. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*p**3 + 378*p + 2 - 757*p + 378*p to the form c + d*p**3 + m*p**2 + q*p and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 427 and 422.\nAnswer: 180194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aygggayygyysy. Give prob of sequence yggg.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 214?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 443 - 231. Let i be (-2 + -3)*(z\/20 + -11). Solve 3\/4 + 3\/2*v + 3\/4*v**i = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 24 = -30. Let b be (-3)\/((-2)\/u*3). Is b\/(-4) + (-2642)\/32*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.36 - -25.3218. Let o = -46.05 - -47. Let w = r - o. Round w to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -44*d + 123. What is i(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251906 is divided by 25171?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 29 - 80. Calculate the highest common factor of v and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -444699, -444737, -444775?\nAnswer: -444813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enn when three letters picked without replacement from eenneeee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8\/25 of a meter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9*w + 6. Let z(u) = -5*u + 4. Let b(d) = -6*y(d) + 11*z(d). Calculate b(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 8 = i. Calculate the highest common divisor of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(3 - 4 + 0)*(-o**2 + o**2 + o**2).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -116201?\nAnswer: 116202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 7 + 13, 2*h = -3*l + 4. Factor -13 + 3*o**2 - l + 1 + o**2.\nAnswer: 4*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/((-3)\/30). Let a = -3 + w. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -267 (base 9) to base 6.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l**5 + 29*l. Let m(n) = -3*n**5 + 10*n. Let p(d) = 8*m(d) - 3*u(d). Find the second derivative of p(z) wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1295 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11142 (base 7) to base 6\nAnswer: -21023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 708*w**4 - 58129*w**3 + 93522*w**2 + 3*w + 31.\nAnswer: 16992*w - 348774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68931044 divided by 13.\nAnswer: -5302388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7545196?\nAnswer: 2, 23, 82013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 = -4*v, -3*v = -v + p + 1. Let a = -88737\/8 - -11120. Let o = 28 - a. Is v less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a**(-1))*a)**(-2\/39)*(a**(-1\/2))**(23\/2) assuming a is positive.\nAnswer: a**(-905\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 42 = -3*r. Suppose -m - 5*b - 1790 = -r*m, 2*b = -m + 343. What are the prime factors of m?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*o + 0)*(-4*o - 3*o + 10*o) - 13*o**2 - 6*o**2 - 2*o**2 as c + g*o**2 + u*o and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1876, -1878, -1882, -1888, -1896, -1906, -1918?\nAnswer: -1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658901530?\nAnswer: 2, 5, 11, 13, 163, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28383617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 5:02 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*4 + sqrt(2) + 0 + sqrt(242))*5)**2.\nAnswer: 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12076366439 - 0.3.\nAnswer: -12076366439.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**7\/2520 - 11*j**4\/3 + 30*j. Let c(v) be the third derivative of h(v). Let t(y) = -y + 2*y - 4*y. Calculate t(c(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -59 + 5.161403191\nAnswer: -53.838596809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/(-9)*(-4)\/(-8)*4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-10))\/(-1))\/(52\/(-520))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116.1 - 119. Let z = j + 4.9. Which is the closest to z? (a) 2\/5 (b) -5 (c) -0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/80*((-1300)\/100 + 37\/3).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 5. Let j be x(5). Suppose 0 = -3*h + 10 + 5. Let w be 0*(15\/6)\/h. Which is the closest to j? (a) w (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/9313 and 24\/973?\nAnswer: 65191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 183264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.9258708 to two decimal places.\nAnswer: -29.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-14) + (-88)\/14. Let f be (p\/(-4))\/(-3)*6. Let g(u) = -u - 3. Determine g(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.311 and 5729557562.2.\nAnswer: 5729557562.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15*p - 5. Let v(t) = t**2 + 5*t + 4. Let c be v(-3). Let g(d) = -7*d - 2. Suppose 76*r + 101 = 99*r - 14. Calculate c*k(b) + r*g(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53 - y + 56 - 162)*(-3*y + 3*y - 2*y) to the form m + g*y + c*y**2 and give g.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-1054)\/(48\/170 - 54\/135)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 21*a - 3. Let x be q(3). Let i be (3 - 2)*-3 + 2. Is 21 a factor of 3768\/x - i\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 691810770 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8325, -8323, -8319, -8313?\n\"Answer: g**2 - g - 8325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 28*i + 207. Let s be a(16). Let v(f) = -f**3 + 17*f**2 - 24*f + 40. Does 26 divide v(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2189.\nAnswer: 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 16 = 3*z. Let w(b) = b**3 + 5*b**2 - 5. Let o be w(-5). Let c = o - z. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 0*a - a + (2 - 2 + 1)*(0*a + a + a))*((-3 - 1 - 4)*(2*a - a + a) + a - 4 + 4) to d + v*a**2 + l*a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + 127. Suppose 475 = w - k. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3*m**4 - 222*j**3 + j**2*m**2 - j*m**2 - 354*m**6 wrt m?\nAnswer: -48*j**3*m - 42480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 232*z**2 - 12*z + 8. Let c be d(-20). Let n = c - 65121. Let a = n - -27273. What is a rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 271 + -272.3. Let f be 2*(3\/9)\/(-1). What is the second biggest value in -3, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 479, 613, 747?\n\"Answer: 134*o + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39.8 - -40.8. Put a, -3.1, 4 in ascending order.\nAnswer: -3.1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 336\/(-35) - 4\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 16, -2, 3.\nAnswer: -6, -2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-12)\/(5 + -1). Let y(j) be the first derivative of -j**3\/3 + 3*j**2\/2 - 3*j + 1. What is y(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**5 - 150*w**4 - 10794*w**3 + 96324*w**2 + 224415*w + 117450 = 0.\nAnswer: -45, -1, 10, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*(sqrt(5472)*-2 + sqrt(5472)))\/((sqrt(90)\/sqrt(81))\/sqrt(5)))**2 + 1.\nAnswer: 886465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-3)*(-12)\/(-10). What is the second derivative of -2*k - 9 + 9 - c*k**2 wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 189007840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*r - 1 = -17, 5*h = 3*r + 22. Suppose -f = 1, -u = -f - 14 - h. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/121 - -602\/363. Let b be 11\/6 - 1\/(-6). Suppose b*u + h = 4 - 1, 4*h = -u - 2. What is the closest to u in t, -4\/3, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/8 (b) 1\/10 (c) -3\/4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6625 - 6626. Let x(d) = -d**3 - d + 1. Let s(l) = -l**3 - 3*l + 3. What is y*s(h) + 3*x(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 + 1 + 4*z + 2*z - z**2 to y + m*z + g*z**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5201 is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sktts. Give prob of picking 2 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-97)\/(-388)*(-1)\/((-1)\/2)*11.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 3*v**2 + 3*v + 6. Let h be u(-3). Sort 2, 4, h in descending order.\nAnswer: 4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q - 12. Does 25 divide p(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1728\/(-45)*(-65)\/2. Calculate the greatest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**3\/6 + 2*v**2. Let n(w) = w + 7. Let z(u) = n(u) - 4*s(u). What is z(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 - -143. Let n = -106 + j. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211101 (base 3) in base 8?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35\/96 - -2735\/3552. Let b = z - 896\/111. Calculate the common denominator of b and (-238)\/(-3)*(-12)\/(-392)*(-4)\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 1\/1)*-15. What is the remainder when 0\/(-1) + (j - -39) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*a = 15, 2*t + 3*a = -a + 30. Let o = -113 + 188. Calculate the greatest common factor of t and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3.6, 3\/5, -41, 0.2, 2\/9?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 12*x - 2. Let i(f) = f**2 + f - 5. Let h be i(-4). Suppose 1 = -2*r - h, -4*n + 3*r + 36 = 0. What is the units digit of q(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/2 - (-8)\/8. Suppose 2*s - 17 = -a*c, -3 = 3*s - 5*c - 0. Let r(h) = 34*h**2 + 3*h + 3. Is r(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415580911.\nAnswer: 415580911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20656*q**2 - 20674 wrt q.\nAnswer: 41312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 1. Let y be l(1). Let h be (y - -4)*56\/21. Let z(k) be the second derivative of -k**3\/6 - k**2 + k. Let t(b) = 2*b + 5. Give h*z(r) + 3*t(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5827 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 18\/(2 - 0) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, 55, 157, 351, 667?\n\"Answer: 5*h**3 + h**2 + 2*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*6233.\nAnswer: 74796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence all when three letters picked without replacement from {l: 9, a: 4, k: 1}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-5)*(-2)\/12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5830 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(18) - (sqrt(198)*-3 - sqrt(198))\/sqrt(11)) + 5.\nAnswer: 5 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -48882*l**3 + 1003*l**2 + 69*l - 1. Let n(d) = 9776*d**3 - 201*d**2 - 13*d. Let j(u) = -11*n(u) - 2*o(u). What is the third derivative of j(p) wrt p?\nAnswer: -58632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -1\/2*y**3 + 139\/2*y**2 - y + 7\/12*y**4 - 23. Differentiate l(x) with respect to x.\nAnswer: 14*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390026202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, -0.2, 1068, -28, 0.1.\nAnswer: -28, -1\/2, -0.2, 0.1, 1, 1068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.121 - -0.079. Let w = -8.21 + 0.21. What is the second biggest value in w, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**10*o*o*o*o)**(-10\/7))**42 assuming o is positive.\nAnswer: o**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 243, 406, 569, 732, 895?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2856820 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmcup. What is prob of picking 1 b and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 23. Sort -1, -0.5, w, -5.\nAnswer: -5, -1, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(38)*-6)\/(sqrt(2) - (sqrt(50) + sqrt(2450))).\nAnswer: -6*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + -2*sqrt(242) - sqrt(242)) + 3 + sqrt(242)*1*-4 + sqrt(242))**2*-3.\nAnswer: -235251 + 3564*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r + 42 = v, 52 = v + 3*r. Let s = 47 - v. What is the greatest common factor of s and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2\/19903, 2\/11, -1, 4\/11, -3\/4?\nAnswer: 2\/19903","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n + 613010*n**3 - n**2 + 4 + 6*n - 613005*n**3. Let l(m) = 4*m**3 - m**2 + m + 5. Calculate 3*l(h) - 2*z(h).\nAnswer: 2*h**3 - h**2 - h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5161 + -5153. Solve -p*g = 2*d - 10*g, d - 2*g = -1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**3\/3 + t**2 + t - 21. What is the remainder when 4 is divided by u(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + h - 8. Let u be v(-6). Let a(n) = u*n + 0 + 1 - 2. Is a(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 4:28 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000171 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/28, -2\/13, 0.1, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770 + 2275 - 715 - 790 - p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + 0.1. Let k be 4 + -4 + 2\/(-17). Which is the biggest value? (a) -2 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*s - 69*s = 136. Solve -4*d - 7*p + 2*p = 7, 4*d = 5*p - s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1057445762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14 = 2*o, 5*p - o - 12 = -2*o. Let u(f) = -3*f**3 - 25*f**2 - 10*f - 13. What is the least common multiple of u(-8) and 1\/((-1)\/p)*-2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -8*a + 3*a - 2*q, 0 = -5*a + 4*q - 146. What is a rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 13*g + 0*g - 6*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-5)*(-22)\/150. Let s = -38\/325 + 1\/13. Let l = s + f. Is -1 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + q + 22 - 33 = 0, -4*h = 5*q - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 8551971?\nAnswer: 8551971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/68*6*(-2)\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 5*f**2 - 4*f + 3. Suppose -3*r + 8*r + 20 = 0. Let a be m(r). Suppose -9*q = -6*q - 12. Solve 3*b + 11 = -q*j + 6*b, 2*j + a*b = -1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x - 5. Let p be s(-2). Suppose 3 = 2*h - 1. Suppose -h*y = 2*f + 2*y, -f = -2*y - 4. Solve -p*c = f + 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 8*b - 4*t + 144 = 0, 5*b - 3*t = 148. What is the smallest common multiple of 26 and b?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 2*p + 0*p)*(4 - 4 - p)*(-p - 1 + 1)*(3 - 3 + 8).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1002.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 6. Suppose 4*l + 36 = 4*n, 0*l = n + 2*l - 12. Let p be s(n). Let g = p - -3. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 7*r**2 + 7*r + 2. Let l be j(8). Let p = l - -10. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9751 - 125669.6.\nAnswer: -135420.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2634)\/2195)\/(9\/(-240)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**4 + 5*g**4 - 4*g**4 + (3*g**2 + 17*g**2 - g**2)*(g - 1 + 1)*(2*g + 3 - 3) to s*g**2 + w*g**3 + r + k*g**4 + u*g and give k.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 12:29 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 7 - 5*k - k + 4*k. Let y be t(-7). Suppose -3*p + 2*p + 99 = y. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 930477976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -2*k. Let u be (-5 - 68\/(-12))\/4. Let d = 0.03 + 0.37. Which is the third biggest value? (a) d (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105800*g**2 + 3*g**3 - 105800*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3278466338 is divided by 10678.\nAnswer: 10676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l**2 - 10*l + 23. Give b(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f*f**(-3)*f)\/f))**(-20)*((f\/(f**(1\/7)*f))\/f)**(-18) assuming f is positive.\nAnswer: f**(-136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49786*x**3 + x**2 + 17134*x wrt x?\nAnswer: -298716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(65) - 1*sqrt(65)) - 5*sqrt(65)*3)\/(((sqrt(35) + sqrt(210)\/sqrt(6) - sqrt(35))*-1)\/((sqrt(280)\/sqrt(5))\/sqrt(8))).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}