diff --git "a/data/dm_maths/full_data_1/11232_11255.jsonl" "b/data/dm_maths/full_data_1/11232_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11232_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 421 minutes before 3:07 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3030503 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-16) + 425\/4. Let k = t + -11. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 65*l - 24*l + 11*l. Suppose -b - 5*n + 27 = 0, -3*b = 3*n + 2*n - 81. Let j(y) = -14*y - 11*y + b*y. What is r(j(c))?\nAnswer: 104*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**3 - 4*j**2 - 4*j + 12. Let m be t(-13). Let y be m\/(-20) + (-3)\/(-6). Round y to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4*m + 2)*(-39*m**2 - 4*m**2 + 5*m**2) + m**3 - 3*m + 3*m)*(-2 + 8 + 1).\nAnswer: -1057*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a - 9*a**2 - 9*a)*(10*a + 28*a + 29*a).\nAnswer: -603*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w = -22*w + 4. Does 15 divide w\/14 - (-309)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288 + -204. Let p = 113 - x. Let k = p + 176. What are the prime factors of k?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*s + 4663. Is s 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 sysyysfs. Give prob of picking 2 s.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 11. Let r be i(9). Let w be r\/20 - (-1)\/(-5). Let s = -1\/20 - w. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1da7c (base 15) in base 5?\nAnswer: 11044432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1528626 divided by 5.\nAnswer: -1528626\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400, -813, -1226?\nAnswer: -1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-3) + (9 - 1). Let h = -1 + 1.1. Let v = -0.4 - h. Which is the third smallest value? (a) l (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 2. Let m be a(2). Suppose -3 = c + 2*c, 0 = -q + m*c + 26. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1098505, -1098497, -1098477, -1098439, -1098377, -1098285, -1098157, -1097987?\n\"Answer: q**3 + q - 1098507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 12*w - 19. Give k(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -6, 11\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4534 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/20*700\/(-40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -104803 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 28*(-30)\/(-1680)*1\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -14*p - 9. Let x(f) = -5*f - 3. Let n(z) = -6*a(z) + 17*x(z). Let s be 32\/6 - 13\/39. Suppose -2*r - 12 = -s*r. Give n(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -780*h**2. Let z(t) = -11*t**2. Let u be 1050\/150 + -2 + (1 - 1). Suppose -12 = -3*f - 3*a, a - u*a = -4*f. What is f*n(x) - 143*z(x)?\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 462834345 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.092 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-690*o - 193*o - 11*o)*(-1 + 0 + 3).\nAnswer: -1788*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 6*j - 1. Suppose -p = 3*p - 3*v + 20, -v = 0. Let f(y) = y**2 + 7*y + 1. Let w(o) = p*d(o) - 4*f(o). Let w(r) = 0. What is r?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)\/(h\/(h\/h**(1\/3)))*h**(-1\/10)*h**4)**(2\/43) assuming h is positive.\nAnswer: h**(-73\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 28*g + 156. Let f be b(7). Let a = 2 - 1. Let s = f + a. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 divided by -18\nAnswer: 47\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f - 12. Suppose -7*l + 3*l + 32 = 0. Is r(l) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98*17185.08.\nAnswer: 1684137.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10112 - 9739. Calculate the remainder when 390 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 - 4*h**2 + 2*h**2 + 2*h**2.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Let a be 6 + -2 + -13 + 14. Solve j = -t - 1 + a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6*p + 4*i = -24, 0 = 5*p - 3*i - 39. Let u be 2\/7 - 24\/(-14). Suppose -u*l = -4 - p. Solve 4*w + 4*o - o - 13 = 0, 5*w - 25 = l*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + sqrt(175)*1)**2 + 5.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 128, 2, -84324 in descending order.\nAnswer: 128, 2, -1, -84324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*-1 - 14663558\/(-182) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 - 29*l - 12. Let v(n) = -3*n**2 + 15*n + 6. Let a(k) = 4*j(k) + 7*v(k). Is a(9) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*o + 3798, -4*o = -3*u + 4239 + 7155. List the prime factors of u.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83358194 is divided by 6146.\nAnswer: 6142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 88 - 28 - 29 + 12*m - 32 - m**3 - 4*m**2. Let p be d(-7). Calculate the highest common factor of p and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -542*h - 42. Let n be r(5). Let u = 4599 + n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = z + 7*z. Let p(r) = 9*r**z + 10 + 5 - 2 - 2 - 7*r. Is p(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1185, -1190, -1205, -1236, -1289, -1370, -1485?\nAnswer: -1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168 by -19.\nAnswer: -168\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -1. Suppose 2*y - b*f + 2*f = -16, -f + 17 = -5*y. Let p(j) = -j**3 - 3*j**2 + 5*j + 2. Let u(t) = 2*t**2 - 4*t - 2. What is y*u(w) - 2*p(w)?\nAnswer: 2*w**3 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5288*m. Let c(p) = -320*p. Determine x(c(b)).\nAnswer: 1692160*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 126\/(-18)*(-4)\/14. Factor 18\/5*m - 14\/5*m**a - 4\/5.\nAnswer: -2*(m - 1)*(7*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2 - 28*t - 80 = 0. What is t?\nAnswer: -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b - 7*b + 11*b + 0*b as f*b + n and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -958\/5 - -192. What is the closest to s in 3, 1, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 - 39723*n + 79369*n - 39704*n - 126 in the form c + m*n and give c.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39692 smaller than 39074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6545.009 minutes to milliseconds.\nAnswer: 392700540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1404655 by -136.\nAnswer: -1404655\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 4*a**2 + 3*a + 2. Let f be i(3). Solve -5 = f*n - 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 5. Let q be y(-9). Suppose 0 = -q*n - 4*d + 16, d = 5*n - 21 - 11. Solve -3*t + 10 = v, -50 = -5*t - v + n*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n - 3. Let q be v(6). Suppose 2*g - 3*g + q = 0. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (410\/(-123))\/((-8)\/(-6) + -2). Solve 17 = -4*i + c*y, 5*i + 16 = 5*y - 4*y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) 1\/12 (b) 55 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16860 - -32480. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318*p = -267*p - 3553170000. Round p to the nearest one million.\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -15*u - 1454. Let n be i(-97). Let s(t) = -12*t**2 - t. Give s(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1421 - 1961?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from {r: 6, c: 1, j: 1, b: 9, l: 2}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**2\/y))\/y*y*y**0*y*y)\/(y\/(y\/y**(-1\/4))*y**1)*(y**2\/y*y*y*y**(2\/15))\/(y**(-2\/11)*y*y\/y**(1\/2)*y) assuming y is positive.\nAnswer: y**(1363\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.005 and -734.\nAnswer: -3.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 388*g**2 + 22200*g + 1376. Let o(y) = -1035*y**2 - 59200*y - 3668. Let i(q) = -21*c(q) - 8*o(q). Factor i(k).\nAnswer: 4*(k + 56)*(33*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2167.9998487 + 2168. Round c to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*u**2 + 160*u**2 - 58*u**2 - 68*u**2.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.3 - 6. Let c = -0.5 + p. Sort 0.5, -4, c.\nAnswer: -4, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 10*o - 12*o + 174, 4*c - 321 = 5*o. Let p = 91 - c. Find the second derivative of -7*x - 17*x**3 + 39*x**3 + 27*x + p*x**3 wrt x.\nAnswer: 174*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12222441 - -2?\nAnswer: 12222443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1898 is divided by 373?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1838368 to the nearest integer?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from effnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7182 - 10449 = -9*y. Let c(s) = -2*s - s - y + 1959. Let f(n) = 2*n. Calculate c(f(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(7)*2 + (sqrt(28) - (sqrt(28) + sqrt(2268)))\/sqrt(4) + sqrt(49)\/sqrt(252) + sqrt(2268).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2013891 - 0?\nAnswer: 2013891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2. Let r(u) = -4*u**2 - 7*u - 4. Let k(y) = -3*f(y) - r(y). Let m be k(-7). Suppose -m*v = j + 6 - 1, -v = 3*j + 15. Which is bigger: v or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 749 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*r**3 + 165*r**3 + 148*r**3 - 589*r**3 + 140*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240 divided by 310?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1743*r + 10634. What is a(6)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.82 - -0.55. Let z = 0.08 - -0.234. Let v = z + s. What is v rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 47, -3, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w - 279. Give s(47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/1 + (-8 - 920\/(-24)). Let b = 5117.9 + -5118. What is the second biggest value in y, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 173 = 3*q. Suppose 8 = 4*b, z + 4 = 2*b + q. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 557965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 + 325*q - 2703. Give a(72).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -a465b (base 15) to base 5\nAnswer: -113134221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, -7, -2086 in decreasing order.\nAnswer: 3, -7, -12, -2086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -156*g - 2452. What is p(-16)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -8*v**2 + 2*v - 482. Suppose 9*k - 8 = 10. Calculate w(k).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 87?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/414392 and 125\/6324?\nAnswer: 38538456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o = 16. Let v(r) = -50*r + 300. Let z be v(6). Solve -o*a - a - 10 = z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/1)\/((-2)\/(-4)). Suppose 5*k - 5*v = 2 - 12, -2*k - 28 = 4*v. Let m = -3 - k. Solve 4*u + 1 = i + m, -q*i + u + 3 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - r - 1111 = 0, 2*y - 46 + 494 = -4*r. Calculate the remainder when 305 is divided by 7 - y\/(-30) - (-92)\/5.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3231 + 3231.037424. What is j rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 36. Suppose -123 = -5*g - 10*a + j*a, -2*a - 143 = -5*g. Calculate the greatest common factor of 45 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3316, -13115, -29192, -51337, -79340, -112991?\n\"Answer: 35*c**3 - 3349*c**2 + 3*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000101100 (base 2) to base 8.\nAnswer: 10054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 469700.2 to the nearest 10000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52371*m - 41310.\nAnswer: -52371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Let i(s) = -s**2 + 7*s - 5. Let m be i(6). Let g = -68 + 73. Solve -p - m + g = q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84280073857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**4\/12 + r**3 + 5*r**2\/2 - 5*r. Let f be j(-5). Solve -6 = -f*y + 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11730)\/1530)\/((-1)\/3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 - -0.8. Let r = 13 + 41. Let x = -50 + r. Sort 3, a, x in descending order.\nAnswer: x, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4908 in 0.4, 0, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2004 divide 27443327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-18)*(-64281)\/14. Let x = u - 728. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 12:24 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 1123659660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**7\/315 - z**6\/360 - z**5\/180 + 7*z**2\/2 + 4. Let m(k) be the second derivative of t(k). Factor m(v).\nAnswer: v**2*(v - 1)*(2*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4930211928 a multiple of 3064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-32 - -78 - 28)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 4*p**2 - 32*p + 6. What is the units digit of l(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124324?\nAnswer: 2, 31081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + -4*sqrt(2299)*2)**2.\nAnswer: -882912 - 4224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8*u - 6. Let c = -7 - -13. Let l(b) = -19*b - 59. Let y be l(-4). Let d(m) = -23*m + 17. Calculate c*d(a) + y*t(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 + -0.4. Let t = 6\/29 - 7\/174. Which is the nearest to 0.1? (a) -3 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 3, 177 in descending order.\nAnswer: 177, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-12))\/(1\/2)*(-285180)\/17460?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*z**3 - 810*z**3 + 56*z**3.\nAnswer: -1059*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14340 (base 5) to base 13.\nAnswer: -72b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 199 = 3*g + y, 4*g = -3*y + 797. What is the remainder when g is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1527 and 83\/16891674.\nAnswer: 16891674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -46*l**2 + 26. Let i(h) = -15*h**2 + 9. Let t(w) = -4*g(w) + 14*i(w). Differentiate t(r) with respect to r.\nAnswer: -52*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 0*i - 2 + 0*i**2 + 1\/3*i**3. Let l(t) = -t**2 - 6*t. Let o(k) = k. Let p(u) = -l(u) - 6*o(u). What is p(q(v))?\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 440107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1889 is divided by 161?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*d*o + 234*o wrt d.\nAnswer: 27*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from xgfgxxxxxxxxfx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0651 and -20.\nAnswer: -1.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20550)\/100)\/(-137))\/((-44)\/(-16)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 396963, 396966, 396969, 396972, 396975, 396978?\n\"Answer: 3*j + 396960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let m be 3*g\/(-3) + 4. Let r(h) = -2 + 3*h + 1 - m*h. Calculate r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 3 = -3*u. Let t(j) = -j**3 + 2*j - 1. Determine t(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**2*y**3 - 1037*f**2*y**2 + 2*f**2 - 8*f - 114 wrt y.\nAnswer: -9*f**2*y**2 - 2074*f**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/56*(-9)\/27?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011515455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 186324 to the power of 1\/2, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3. Let o(r) be the second derivative of 3\/2*r**2 + 0*r**5 + 0*r**p + 3*r + 0*r**4 + 0 + 1\/30*r**6. What is the derivative of o(m) wrt m?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.090907 take away 2172812?\nAnswer: -2172811.909093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 5890196437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 73813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-88)\/165) - 22\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(2*c**2 - 2 + 2) - 16*c + 3*c**2 + 20*c + 4 - 2 as d*c**2 + o + f*c and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d9 (base 15) to base 9.\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 6*u**2 + 6*u - 4. Suppose 9*y - 7*y - 8 = 0. Let s(r) = 2*r**3 - 5*r**2 + 5*r - 3. Give y*s(n) - 3*w(n).\nAnswer: 2*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -t + 14, -t - 2 = -2*a - 13. Suppose 4*h - 184 = -m, -2*m - 196 = -4*h - 0*m. Calculate the remainder when h is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = r, 0 = -2*x - 3*r + 23. Calculate the least common multiple of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 370, 1270, 2164, 3046, 3910, 4750, 5560, 6334?\n\"Answer: -m**3 + 3*m**2 + 898*m - 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + sqrt(66)\/sqrt(6)*5 + 3 + sqrt(44) + 0 + -4 + (sqrt(275))**2.\nAnswer: 7*sqrt(11) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 140*u*x**3 - 130*x**3 wrt u.\nAnswer: 140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 2\/263, 41?\nAnswer: 2\/263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/10)\/((-64)\/40). What is the smallest value in w, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 4*i + 174, 0 = -3*v + i + 174. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n + 39 = 8*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, -8, -4 in descending order.\nAnswer: -4, -8, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 8 + 0 - 15 - u.\nAnswer: 3*u - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 - 13 + 2*u - u**3 - 237*u**2 + 235*u**2. Let i be s(3). Suppose 0*w + i*w - 40 = 0. Calculate the highest common factor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-11) + 1126\/22. Suppose -5*i = 1 - d. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1089478*r - 82. Let n be m(19). Round n to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1091596, -2 in descending order.\nAnswer: 1091596, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 165437\/8070 + -1\/4035. Find the common denominator of x and -61\/459.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7284 + -7525. Which is smaller: c or -188?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1291, -1290, -1287, -1282, -1275, -1266, -1255?\nAnswer: -1242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - s. Let v(k) = -7*k**2 - k - 1. Calculate i(r) - v(r).\nAnswer: 8*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 8 - 8. Let v(d) = 7*d. Calculate p(v(u)).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 - 15573*d - 62284.\nAnswer: -(d + 4)*(d + 31142)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2301023310 - -13?\nAnswer: 2301023323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4536 - -5284. Calculate the highest common factor of 44 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t + 4*o = 10, t = 2*o - 6. Suppose -13*c = -h - 18*c + 19, -t*c + 14 = 2*h. Factor 1\/4*i**h + 1\/4*i**3 - 5\/4*i - 1\/2 - 3\/4*i**2.\nAnswer: (i - 2)*(i + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -31. Let q be (-28)\/70*((-25)\/2 + 0) + -3. Solve q*l = r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 18. Let b be i(14). Let d = -3 - -3. Suppose -3*g + g = d. Solve 4 = -g*y - b*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24201.25317 to the nearest 100.\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeaeaeaaae. What is prob of sequence ae?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83197 = 267*i - 71716 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(190))\/sqrt(10) - -5*(-2 + sqrt(2299)).\nAnswer: -10 + 51*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 279 - (2 + 7 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -13*z**3 - 7*z**2 + 9*z. Let b(s) be the second derivative of -9*s**5\/20 - 5*s**4\/12 + s**3 + 1839*s. Calculate -7*b(t) + 5*v(t).\nAnswer: -2*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 289*f**2 + 3*f - 32. Let m be k(6). Suppose -165*r + 175*r - m = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 j when four letters picked without replacement from {j: 4, s: 15}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -32 + 0 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 21976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4))**(-30)*(z**(-2\/3))**(5\/3))**(-11\/2) assuming z is positive.\nAnswer: z**(-1265\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 3. Let u be h(1). Suppose 15*m = 13 + u. Let k be m - (-1 - -1)\/(-1) - -8. Solve -3*b = k, 2*b + 2*b + 32 = -5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a364a (base 12) in base 4?\nAnswer: -11203313122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967460 is divided by 73.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 2 + (93 - 68) - 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55528 is divided by 104?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 1, x: 1, w: 1, v: 1, u: 1}. What is prob of picking 1 x, 1 v, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*1815\/968 - 122.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -579031, -1158093, -1737155?\n\"Answer: -579062*d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4872, -4982, -5100, -5220, -5336, -5442?\nAnswer: -5532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62743143.311 + 7.17.\nAnswer: -62743136.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 43664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.25 - 0.05. Let i = -0.1 - k. Which is the second biggest value? (a) 0 (b) i (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3 = -6*c. Suppose r - 23 = -4*n, -r - 3*n + 23 = -4*n. Differentiate -c*z**3 - r + z + 4 - z wrt z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3*l + 18, 3*s + l - 7 = s. Let k be -1 - s - 5\/(-1). Let w(o) = 0*o - o - k*o + 3*o. What is w(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 84 = 2*s, 9*s - 5*s + 4*y = 208. What is the highest common divisor of s and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 4*y**2 + 8*y + 4. Let p be q(-6). Let r(n) = n**2 - 22*n - 69. Is r(p) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 5:45 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 5. Suppose 2*b - 7 = 7. Let x be l(b). Suppose -4*v + 6 = -x*d, 2*d + 6 = -4*v + 6*v. Solve 0*k + 2*k - 10 = v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + h + 14. Calculate b(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -12, 24, 6, -640 in increasing order.\nAnswer: -640, -12, -2, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**2 + 12*h + 6. Let w(n) = 5*n**2 + 12*n + 6. Let b(a) = -4*k(a) + 5*w(a). Let m(u) = 2*u + 6. Let x be m(-6). Let j be x\/18 + 35\/(-3). Give b(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 g when four letters picked without replacement from {g: 6, x: 1, a: 2, t: 1, l: 2, d: 3}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10043*k**3*n*r - 10*k**3*r**2 + 2*k**3*r + 3*k**2*n + k**2*r**2 - 200268*k**2 + 2*n*r wrt k?\nAnswer: 60258*n*r - 60*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lleldlzlbldddll. What is prob of picking 1 z, 2 d, and 1 l?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1821 * 0.169\nAnswer: 307.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1116 - -1117. Let r = 0.2 - 0.7. Let u = 0.143 + -0.143. Sort -3\/4, u, b, r in ascending order.\nAnswer: -3\/4, r, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 540 and 360.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(6*-3*sqrt(68))\/((sqrt(220)\/sqrt(5))\/sqrt(11)))**2.\nAnswer: 826200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1339695892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11941 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3 = v - 5*x - 0 - 6, 5*v - 14*x - 39 = 0 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xggwgwwwxgwx. Give prob of picking 3 x.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4\/4 + 35*u**3\/2 + 355*u**2\/4 - 1050*u - 4500.\nAnswer: -5*(u - 12)**2*(u + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.2290048.\nAnswer: -0.6870144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 808940278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02686075185 from 19.9.\nAnswer: 19.87313924815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxcxcxcxxxcxcxcfxxx. What is prob of picking 1 f and 2 c?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -32 + 20 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998419.73 rounded to the nearest 1000?\nAnswer: 1998000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c2 + -165a2?\nAnswer: -164d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20715*b**3*m**2 + 3555853*b**3 - 24*b**2 + 647*b*m**2 wrt m.\nAnswer: -41430*b**3*m + 1294*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 6*d**2 + 8*d - 4. Suppose -3*m - 3 = -18. Let q be c(m). Let v = q + -2. What is the remainder when 26 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4.2. Let g = 0.2 - n. Let w = 0.21 + -0.51. Which is the third smallest value? (a) g (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**5\/5 - h**3\/2 - 9*h. Let m(i) = i**3 + i + 1. What is d(j) + 2*m(j)?\nAnswer: -2*j**3 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from {y: 1, p: 1, v: 1, i: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16 - 14\/2*(14 - 13). Let w(r) = r**2 - 4*r - 5. Let u be w(-4). Calculate the highest common divisor of u and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1481 greater than -1485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75.1*-0.02.\nAnswer: 1.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 6*m**2 - 95 - 2*m - m**2 + 2*m + (3*m - m - 3*m)*(2*m + 2*m - 5*m) + 0 + 0 + 2*m**2 + m**2 + m**2 + 0*m**2)*(-2*m**3 + m**3 + 3*m**3).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - p = 1450, 2*o = -o + p + 870. Suppose o*v - 287*v = 36009. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7286.3*34.\nAnswer: 247734.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**2 - 6*k + 16. Is z(4) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t - 208. Let d = t + 37. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011101111000110 (base 2) in base 4?\nAnswer: 303233012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**5\/30 - 489*y**2. Let n(g) = -1307*g. Calculate a(n(u)).\nAnswer: 3416498*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 1218798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 123 = 27. Suppose 3*i = 5*i - t. Does 6 divide (81\/i)\/(-9)*-44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/(-74333)*-82)\/(0 - -2).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -476848 + 476848 + 7221*x as d*x + v and give d.\nAnswer: 7221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 14. Let o be k(-7). Let s = o + 52. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 107?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.97568 rounded to 2 dps?\nAnswer: -3.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*c + 1259559. Let i = c + -39465. Let h = i - 98472. Round h to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 2*t. Let y(x) = -12*x**2 - 18*x. Let f(n) = -9*r(n) - y(n). Let z(d) = d**2. Calculate -f(m) + 6*z(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62836658 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/((-4)\/120). Suppose 7*o = 4*o + x. Solve -2*z = 3*z + o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -27, -3, -1 in descending order.\nAnswer: -1, -3, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 765365919 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 - 989\/9. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from {g: 4, f: 1, a: 4, p: 1, s: 1, d: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/8)\/(6\/(-16)). Let t(j) be the second derivative of 13*j**3\/6 - j**2\/2 + 2*j. Is t(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) -2\/9 (c) 0.628 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q + 2. Let w(o) = -6*o - 2. Let u be (-18)\/(-4) - (-6)\/(-4). Suppose 0 = -h + 2*k + 4, -4*h = u*k - 16. Determine h*g(d) + 3*w(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*j**5 - 6128*j**3*z**3 - 2*j**2*z**3 + 5*j**2*z**2 - 8*j*z**3 - 2*j*z**2 - 612*z**3 wrt j?\nAnswer: 900*j**2 - 36768*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uthutuhuhuuu. Give prob of picking 1 t, 1 h, and 2 u.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide -5 - (-1 - -620)\/(6 + (-484)\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -14. Let u = 187 + -584\/3. Let r = u + w. What is the smallest value in 4, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-75)\/(-450) - (-24)\/(-5) and 71\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1561*y - 7801. Give w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 5:07 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79769?\nAnswer: 79769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -69 >= -1614\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 118, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 28*p**3 - 8*p**2 - 19*p. Let w(l) = 110*l**3 - 30*l**2 - 75*l. What is -19*c(s) + 5*w(s)?\nAnswer: 18*s**3 + 2*s**2 - 14*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 29 = -8. Let t be (-16)\/i + 10\/(-35). Suppose -160 = -2*g - 3*s, -g + t*s + 113 = 26. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 7*g**2 + 3*g - 9. Let l be h(-4). Let k = -27 + l. Let y(j) = -j**3 + j**2 - j + 3. Give y(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (20 - 30) + (-2 - (3 + -9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, q: 2, z: 5}. Give prob of sequence zz.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -92 (b) 9 (c) 0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*(34\/10 - 3). Suppose 4*y - o*r = 16, -6*r = -y - r. Solve y = 4*n - 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5185 divide 474256474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j + 28*j = 3*g - 4, -4*j = -2*g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36639 at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)*2)\/sqrt(12))\/(sqrt(8) - (sqrt(8) - -3*sqrt(1152))) + -2.\nAnswer: -2 - sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 2. Suppose -1983 = -x*z + a, -4*z + 5*a + 76 + 1502 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11207*b**4 - 5*b**3 + 42901837*b**2.\nAnswer: -268968*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-2 - (-6 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*b = -0*b - 7, -n - b + 8 = 0. Calculate the highest common factor of n and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*p**2 + 26*p - 34*p - 6*p**2 + 9*p + 278 + 32*p wrt p.\nAnswer: -26*p + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 90 + -65 + 17?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1877 is divided by 629.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -7. Suppose 4*t - 13 = -3*n, 7 = g*n - 2*t - 0. Suppose n*k = 6 + 39. Solve r + 2*r + k = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2335 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-10))\/(1891\/(-18910))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*w**2 - 3*w**2 + 19*w - 14*w**2 to the form y*w**2 + l + u*w and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/17 (b) 5175 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 + -91.6. What is the closest to -28 in z, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 345, 343, 347, 363, 397, 455?\n\"Answer: t**3 - 3*t**2 + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*p + 73*p = 26670. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00187599592 to 7 decimal places.\nAnswer: 0.001876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + a - a)*(-3*a - a + 3*a) + 9 - 9 + 2*a**4 + 2749*a - 2749*a - 9*a**2 - a**4.\nAnswer: 2*a**4 - 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 4*g**2 - 5*g**2 + (3*g - 5*g - g)*(7 - 5 - 4*g + 0) in the form q*g + t*g**2 + c and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 20*d = u - 14*d - 204, -999 = 2*u + 2*d - 877 for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (360*y**4 - 113*y**4 + 334*y**4)*(3 - 4 - 1) in the form a*y**3 + s*y**2 + r*y + g + j*y**4 and give j.\nAnswer: -1162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -7332538.\nAnswer: 109988070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/16 + 7\/16. Is 17 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1464.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-498)\/(-9) + -24)\/((-18)\/(-27))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 81738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*j - 258*j - 3*x = 0, 10 = 5*j - 3*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5039, 2\/11, -0.5 in ascending order.\nAnswer: -0.5, 2\/11, 5039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/(16\/(-4)) + 4. Let m(l) = -5 + 3 + 6*l - 2*l - 1. Let t(g) = 7*g - 6. Let j(h) = 5*m(h) - 3*t(h). What is j(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*n + 12*n**3 - 30*n**3 - 1 + 16*n**3)*(58 - 30 + 32) to the form y*n**2 + b + m*n**3 + v*n and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71695*l**2 + 3 - 11 + 8 + 1.\nAnswer: -71695*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 9*a - 1. Let h be 49\/(-6) - 12\/(-72). Give x(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a - 6*a**2 + 4*a**2 + 1 + a**2. Is s(4) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 132 = 4*c. Let b = 42 - 20. What is the greatest common divisor of b and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 11 + 7)*(-1018*i - 1026*i + 2041*i + 58 + 3*i**3).\nAnswer: 6*i**3 - 6*i + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 3. Suppose -11*l = -j*l - 145. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 828 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*y + 2027*y = -292*y + 72333 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/((56\/(-147))\/(-8)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -29, 1\/1897, -2\/5, -497?\nAnswer: 1\/1897","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1 (b) -2\/11 (c) 3 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 29.1, -5, 15 in decreasing order.\nAnswer: 29.1, 15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2 + 32*t + 140. Let q be p(14). Put -1, q, 2, 4 in decreasing order.\nAnswer: 4, 2, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isbiwxxxxtii. What is prob of sequence wb?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + y - 13, 5*y + 23 = -3*z + 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d + 1170 = 58*d. Calculate the remainder when 112 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000667663 rounded to five decimal places?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71961377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 8\/9*g - 16\/3*g**2 + 38\/9*g**3 + 0 - 10\/9*g**5 + 4\/3*g**4 = 0.\nAnswer: -2, 0, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l - 2. Let u(r) = 392 + r - 392. What is -5*u(w) - z(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by 1\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 - -62. Suppose 6*r + 22 = 3*r - b*q, -4*q = -3*r - 58. Let i = r - -61. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 9*g. Let n be x(-6). Let q = n + -12. Let u = -2 + q. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3287187*p - 13148738. Give t(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -13. Let j = -211 - -212. Calculate the lowest common multiple of j and 2*1 - g*-1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w + 4*s + 4 = 0, -2*s - 2 = 0. Let o(d) = -d**3 + 11*d**2 - 9*d - 7. Let m be o(10). Let z = m - w. Solve z - 4 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**5 - 175*r**4\/4 + 5*r**3 + 515*r**2\/2 - 350*r + 5403. Find n such that x(n) = 0.\nAnswer: -35, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 251 = 358. Let x = 3449\/17 + r. What is the closest to 0.1 in 3, x, -1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 42\/7 + -22 + 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -13*c**5\/5 - 3*c - 17. Differentiate i(a) wrt a.\nAnswer: -52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - ((3 - 2) + -1). Let d be 2*(s - (2 - 4)). Suppose 0 = d*g + 4*v - 260 - 124, 4*g + 4*v - 784 = 0. What is g rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -9*c + 4*c - 25, 24147 = 2*c + 24165 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - 2*w)*(3 - w - 3) + 8 - 8 + 7*w**2 - w**2 + 2 - 2 - 3*w**2 + 3*w**2 - 10*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 101 + 21 = -5*b, -14*b = -2*n + 7 + 57 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260043151?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*sqrt(832) - ((sqrt(130)*-1)\/sqrt(10) + sqrt(13)))**2 - (2 + (sqrt(468) - (2 + sqrt(468))**2*-5) + sqrt(468)).\nAnswer: -132*sqrt(13) + 177350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 6*a**2 - 1569*a + 6225. Calculate b(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-one fifths of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000688 to seven decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25555\/5773 greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 15. Let i be k(0). Let j be -10*(6\/i + 0). Let z(a) = j - 2 + a + 0. Give z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 181605550*b**2 + 223441373?\nAnswer: 363211100*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 32 = 6*w + 22, 2*k - 62 = -2*k + 2*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 5*t + 7. Let p be -1 - 15\/3 - 0. Let i be a(p). Solve 2 = 3*d - i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 11*m - 14. Let i = -40 + 28. Let u be d(i). What is the units digit of -1*u\/(-2)*-39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from {t: 7, e: 6, s: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -27\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-7 + 7)) + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2981*a**2 - 28859*a**2 - 38665*a**2.\nAnswer: -64543*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -91*t**4\/6 - t**2 + 125*t. Let b(u) = u**2. Calculate b(w(h)).\nAnswer: 132496*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 812287587 to the nearest integer?\nAnswer: 28501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*v = 5, -228*l + 231*l + 17 = v for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4298074793 to the nearest integer?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/8)\/(t\/(t*t**(-6))))\/(t\/(t**0*t))**(18\/7) assuming t is positive.\nAnswer: t**(-49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 12:07 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*l + 248*l = 81*l + 49910. Calculate the remainder when 1133 is divided by l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3 + 159*r - 6*r**3 - 189*r + 2*r**2 wrt r?\nAnswer: -30*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -15*l - 166. Let n be o(-11). Calculate the least common multiple of n + 10 + 18\/1 and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*f - 37*f + 60 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(24)\/sqrt(300) + sqrt(2) + 3)*-2.\nAnswer: -6 - 12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 6:31 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 70 = -4*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (0 - 62 - (-240 - -223))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 11*k**2 - 10*k + 2. Let b be v(10). Suppose b*l - 74 = 142. Let n be (-12)\/(-3) + l\/(-22). Is -1 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1356 and 1808.\nAnswer: 5424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -270 - -137?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1113, -1164, -1287, -1482, -1749?\n\"Answer: -36*b**2 + 57*b - 1134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) 5 (c) -3\/8 (d) -6\/65 (e) 3 (f) 74\/3 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 2, 50 in increasing order.\nAnswer: 2, 30, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -51, 7, 1, 46 in increasing order.\nAnswer: -51, -2, 1, 4, 7, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 = -5*v, 2*v + 3*v = 2*a + 10. Suppose 3*c - 2*c - v = 0. Suppose -12 = -0*g - 4*g. Sort c, g, 5 in ascending order.\nAnswer: c, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -47.\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 6*a - 5. Let n be u(4). Let f(s) = -s + 2. Let m be f(n). Round m to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 148 + -137. What is the smallest common multiple of 2 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.2 (b) 0.89 (c) 3\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 1:05 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.488 take away 203221124?\nAnswer: -203220997.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-128)\/208)\/(2\/13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767 is divided by 455?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2))**3*(m**(1\/3))**(-12\/11) assuming m is positive.\nAnswer: m**(-37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*p = -231*p - 670 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 6:39 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19 and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-6) - (-2)\/(-4). Let j be (-4 + -57*p\/(-24))*20. Let f be (j\/(-5) + 80\/26)\/2. Is f at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 150.01 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22831 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -128*r - 36. What is the smallest common multiple of 32 and n(-3)?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 305, 453, 599, 743, 885, 1025?\nAnswer: 1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = 6*u - 2*u, -2*u = 5*x - 30. Let b(t) = t**2 - 7*t. Let o be b(x). What is the units digit of (-3)\/(-9) + (-40)\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8517436*g**3 - 5*g**2 - 68330802*g?\nAnswer: -51104616*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -42*m - 5499. Let q be p(-136). Calculate the greatest common divisor of q and 3905.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -10, 3, -0.4, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 1.4 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10586 + 8 + -24 + 19?\nAnswer: 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2 (c) 26 (d) -68.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.1. Let c = 0.47 - -0.53. What is the smallest value in u, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - h + 72 = 0. Let g(m) = m**3 - m + 1. Let l(o) = 15*o**3 - 6*o + 6. Determine h*g(d) - l(d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/(-266) + (-6676)\/7448 + 0 and -65\/77.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**3 + 4*k**3 - 18*k**3 + 1 + (-4 + 2 + 1)*(3*k**3 - 3*k**3 + 2*k**3) to g*k**2 + u*k + i*k**3 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6852?\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2010401 - 2?\nAnswer: 2010344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.333993 kilograms?\nAnswer: 333.993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 497, 1806, 3115, 4424, 5733, 7042?\nAnswer: 8351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2407)\/(-1) - (-2 + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1138992.79 to the nearest 1000.\nAnswer: 1139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, g: 3, z: 1, n: 1, q: 2}. What is prob of picking 1 n and 1 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1872798385?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1958.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -278, -269, -246, -203, -134?\n\"Answer: o**3 + o**2 - o - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 16 - 6) + -5 - (-8 - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c**2 + 10*c + 10. Let g(o) = 3*o - 4*o - o**2 + 0 - 1. Let t(a) = -2*a - 12. Let w = -39 - -28. Let b be t(w). Calculate b*g(j) + n(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230*a*k*s**4 + 17*a*k*s**3 + a*k - 82*a*s**2 - a*s + 106*k*s + 3*k - 10*s**4 wrt s?\nAnswer: 5520*a*k*s + 102*a*k - 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 + 8848347*o\/4.\nAnswer: -o*(o - 8848347)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o - 187 = 3*o + 74 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (3 + 3) - 0. Let b be n\/(-18) + (-4)\/24. Suppose -5*u + 12 + 13 = b. Solve 2*o = 3*o + 5*m - 2, -u*o - 4*m = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*z - 2993 + 22507. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + a = -9*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 + 209. What are the prime factors of p?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 28 = -n. What is the least common multiple of n and ((-1)\/(24\/(-1344)))\/1?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waaawaaawawaawaaaa. Give prob of picking 1 a and 1 w.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by -38?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 2) to base 10\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123133150 + 3?\nAnswer: -123133143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1344*u + 2088. Let m(x) = -33*x**2. What is l(m(j))?\nAnswer: -44352*j**2 + 2088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.33. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -29*s. Let k(j) = 4346*j. Give 6*k(f) + 902*r(f).\nAnswer: -82*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 p, and 1 t when four letters picked without replacement from vppfpppft.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Suppose v = -4*g + 4*s + 44, 3*g - 5*s = -g + 48. Let i(f) = -f - 2 - f - 4. Let q(o) = -2*o - 5. Determine g*q(z) - 6*i(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z + 56. What is the remainder when 85 is divided by g(9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 828.68 (b) 0.12 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -21. Suppose 0 = 2*x + 5*s - o, 0 = x + 2*s - 1 - 2. Let c be -1 - (-3 - (24 - x)). Solve -3*p = -0*b - 3*b - c, -13 = -2*p + b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*o - 3*i, 4*o - 5*i + 4 = 6*o. Suppose -2*y = 4*z - o, 0*y = 4*z - y - 24. Solve d - 3*d - 4 = 0, -z*r - 4*d = 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 756564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frofc. What is prob of picking 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3861 is divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywwywllyywy. What is prob of sequence wyyy?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 6*j**2 - 5*j - 1. Let o be a(-7). Suppose 2*p = o + 15. Calculate the remainder when p is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 + 155 = -7*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -551 + 645.4. Let q = y - 94.9. Sort q, 0.5, 3\/5, 0.2.\nAnswer: q, 0.2, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96352 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-10) - (-3816)\/(-140). Let d = 1609\/56 + j. Let w = 28076\/8197 + 4\/1171. What is the common denominator of d and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 3\/73886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 20. Suppose -4*v + 0*v = -x. Solve -5*d - 2*r = -7 - 6, -v*r + 6 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.672 + -0.48. Let s = g - -15.508. Let t = -16 + s. Which is the nearest to 2\/9? (a) t (b) -1\/5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -11.6?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 116?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from doavdaoloao.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 23726.85 centimeters?\nAnswer: 237268500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8543711821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-12) + 1220\/(-12). What is the tens digit of (r\/30)\/(1\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4232, 4, -3, 2\/11 in descending order.\nAnswer: 4232, 4, 2\/11, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 6. Let f(s) = 3*s - 7. Suppose 5*l + 30 = -5*z, -3*z = 2*z + 5. What is l*y(t) + 4*f(t)?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 137 = z, -6*n + 3*n = -5*z - 91. What is the remainder when 15 is divided by (-8)\/36 + 222\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4862 is divided by 2313.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {b: 1, v: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82379 is divided by 41113.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33851763007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c + 20, -c + 2000996 = -3*o. Round o to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.34 + 4.66. Let t = -71 + q. Let x = t + 66.305. What is x rounded to two dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58 - 59 - 46*b**4 + 92 wrt b?\nAnswer: -184*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3.1, 0, 2\/7.\nAnswer: -3.1, -1\/4, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59 and 14278?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m - 175. Give w(0).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*s, -10*j - 19 = -13*j + 2*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Let p(t) = -t**3 + 3*t**2 + 4*t + 5. Let s(z) = -2*n(z) + p(z). What is s(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 7 + 2 = 0. Let l(g) be the first derivative of 2*g**4 + g**3\/3 + g**2\/2 + 13. What is l(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + 1 + 2 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2. Let b be (-1 - -7)\/(0 + z). Let f(r) be the first derivative of r**2 + 8*r - 34574. What is f(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d - 5. Suppose 3*w + 18 = 5*w + 4*f, -2*w = -5*f + 9. Let y(h) = -5 + w - h**2 - 2 + 5. Let k(s) = t(s) + 2*y(s). Calculate k(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p - 13. Suppose 0 = -2*g + 4*q + 68, 5*q + 7 = g - 24. What is the remainder when g is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 8*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 4:33 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 58 (b) -1\/6 (c) 174911\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/3, 48, 4\/5, 5, 1\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6962 by 2.\nAnswer: -3481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -88*62\nAnswer: -5456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*i**2 - 105*i**2 - 64*i**2 + 12*i**2 as s + r*i**2 + u*i and give r.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (74*(-39)\/(-3848))\/((-1)\/(-14))?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o + 8. Let b be h(-2). Suppose 0 = -b*s + 21*s - 385. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (3 - (-4)\/(-1)). Let h be (s\/(-2))\/(3\/(-18)). Factor -11\/4*o**h - 1\/2*o**2 + 0*o + 0 - 9\/4*o**4.\nAnswer: -o**2*(o + 1)*(9*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 4:42 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 - (2 - 2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-230) + 240\/(-7820)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3692*a - 1268*a - 1405*a - 1291*a to m*a + h and give m.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (1 + -8 - -7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**4 - 5*s**4 - s**4 + (-3*s + s + 3*s)*(s - 7*s + 2*s)*(-127*s + 127*s + 22*s**2).\nAnswer: -89*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 11*d**7\/42 + d**3 + 13*d. What is the second derivative of j(t) wrt t?\nAnswer: 220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from fvovcpo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5124 + 1?\nAnswer: 5125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 5300.8.\nAnswer: 5300.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**1\/w*w*w*w*w)**(-21))**(-20) assuming w is positive.\nAnswer: w**2520","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21783?\nAnswer: 3, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 5*j + 10. Let a(w) = -2*w - 2 + 2*w + 2*w. Determine a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from ftnttnninbfintntw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**4\/24 + 50*u**2. Let s = 4 + 0. Determine b(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8454, 16935, 25416, 33897?\nAnswer: 42378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -9 + (1 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*a - 4*a. Let f be 3 - (51\/9 + a). Let z = -227\/546 + -1\/78. What is the closest to f in z, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.876188kg to micrograms.\nAnswer: 7876188000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21796209*r - 21728487?\nAnswer: 21796209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/5)*z**8)\/(z*z**1)**(-20)*((((z\/(z*z**(-4\/5)))\/z)\/z*z)\/z*z**0)**(-46) assuming z is positive.\nAnswer: z**(513\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*w - 5. Suppose -w*s + 507 = -3213. Is s a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 40388710213.\nAnswer: 40388710212.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 70*o**2 - 151*o + 514. Let q be c(72). Solve 0 = 4*b + 3*p + q, -6 = 4*b - 19*p + 20*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 324 = -6*l. Is l - (-7 - (0 - 7)) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2387 = 2380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u - 5. What is l(7)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 + -93.48. Let a = i + -0.52. Let t = -38 + 118\/3. What is the nearest to -1\/3 in a, -4, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 7:05 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 9*l = 0. Suppose l = 4*g - 2*t - 6, 3*g - 12 = 5*g + 4*t. Sort -1, 5, g.\nAnswer: -1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/136 + (-154)\/136. Let i = -9 + 8.9. Which is the nearest to 0.1? (a) i (b) 2\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22, -6, 16, 38, 54, 58?\n\"Answer: -x**3 + 9*x**2 - 4*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 1, 2*k = -5*y + 58. What is the highest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(2\/5)*g)\/g)**(-28))**(-21) assuming g is positive.\nAnswer: g**(4116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*n - 390 = -418, -4*l = -3*n - 25 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 5*k - 4. Let l = -18 + 15. Let w be m(l). Let g(z) = -3*z**2 + 4*z**2 - z**w - z**2. What is g(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 = -4*t + 5, -4*t = 3*q - 4. Let b = 1.6 - -0.4. Let d = 4 - b. Put 1\/7, q, d in increasing order.\nAnswer: q, 1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46424740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - -1100111011100100000000?\nAnswer: 1100111011100100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14 + -1)*(16 + 1). Let w = 327 - c. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -525 - -488. Let o be 0\/(2\/(-2)) + -40. Let s = o - i. Is -0.1 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5494 and 656.\nAnswer: 43952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/15922 and 99\/134429446.\nAnswer: 134429446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**5\/80 - l**4\/24 + l**3\/24 + l**2\/4 + 9*l. Suppose m(x) = 0. What is x?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*p - 13167 - 987 = -67*p - 62*p for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12772, 12768, 12764, 12760?\n\"Answer: -4*o + 12776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 65685912*b + 65685908.\nAnswer: 4*(b - 16421477)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 10:56 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:59 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)\/(r\/(r**(-2)\/r)))\/(r**1*r)**20*(r*(r*r**2*r)\/r*r)\/(r\/(r*r**(-2\/19)))*(r*r**(-1\/4)\/r)**(-13) assuming r is positive.\nAnswer: r**(-686\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/91 - (-19)\/28)*6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526216480 a multiple of 5020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16940*a*b*g**2 - 4*a*b + 3079*a*g**2 - b*g**2 - b*g + 25025172*g wrt g.\nAnswer: -33880*a*b + 6158*a - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -145*b - 1. Is x(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 + 32*f**2 + 68*f**2)*(-2*f**2 + 10*f**2 - 46*f**3 - 7*f**2).\nAnswer: -4830*f**5 + 105*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-3 + 3 - -1 - 11 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*((q\/q**(-1))\/q*q)\/q*q*q)**(1\/60)\/(q**4*q*q**(-2)\/q*q))**(14\/5))**(28\/9) assuming q is positive.\nAnswer: q**(-17248\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66761 (base 8) to base 7.\nAnswer: -145025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 31713.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 6*k**2 + 5*k + 5. Let w be z(-5). Suppose -4*m + 6*m + w*i = 27, 0 = -m + 3*i - 3. Does 14 divide (-18)\/m - (-70 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5*2*sqrt(1400))\/((1*sqrt(700) - sqrt(700)) + (sqrt(175)*-2 + sqrt(175) - sqrt(7)))*2)**2 + 5.\nAnswer: 800*sqrt(2)\/3 + 20189\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46835412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 356 (b) 1.8 (c) 2\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1237, 1239, 1247, 1267, 1305?\nAnswer: 1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**7\/105 - 277*y**6\/60 - 217*y**5\/20 + 480*y**2. What is the third derivative of k(h) wrt h?\nAnswer: 48*h - 3324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 4*j + 14, 14*j - 2429 + 2416 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -41.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v = -30*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -794*u + 4962. Let n be g(9). Is n not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 0.3, 5, 2\/7 in ascending order.\nAnswer: -0.08, 2\/7, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 - -2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 917, 918, 919?\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(4235\/(-70)))\/(12*7\/(-847)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6078, 24087, 54102, 96123?\nAnswer: 150150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.39 - -1.39. What is the nearest to r in 2\/5, 0, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5180792 divided by -31784\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b. Let v be h(1). Sort 4, -6, v in decreasing order.\nAnswer: 4, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/72*6*6\/(-55)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16189*u**2 + 109*u + 32344*u**2 - 16152*u**2 - 109*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 44\/16 - 3 - 5920002\/(-8). Round s to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 10. Let q(y) = 2761*y - 367213. Let i be q(133). Sort 17, a, 3, i in increasing order.\nAnswer: a, i, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/223572 and 59\/221769?\nAnswer: 27499356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyygyyyyg. What is prob of sequence yygy?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -189 times -697092\nAnswer: 131750388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (63 + 4093*y - 30 - 33 + 486*y)*(-2*y - 2 + 2) to g*y + m*y**2 + f and give m.\nAnswer: -9158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3989*h**4 + 1810 with respect to h.\nAnswer: 15956*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -21*g**3 - 2*g**2 + 4*g - 13. Let v(z) = 2*z**3 - z + 3. Determine d(n) + 5*v(n).\nAnswer: -11*n**3 - 2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 322 + -162. Suppose -5*r = -j + 150. Let g = 0 + 8. What is the smallest common multiple of r and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 1. Let s(q) = -q**2 + 16*q - 16. Let y(k) = -s(k) - 4*v(k). Let u be y(12). Solve 2*x = -3*x + u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (92\/(-10))\/(2\/(-5))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 15826*k**3 + 11143*k**3 + 0*k**2.\nAnswer: 26969*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/19866*(575\/15 - 11) and 56\/387.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 259? (a) 175 (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*n - 15*n + 36. Let k be (-85)\/34 + 1 + n\/6. Let g = -1\/12 + 55\/84. Which is the third biggest value? (a) k (b) -1\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*k - 121, b - 77 = -126*k + 146*k for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -3325?\nAnswer: -3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/23 and -89\/345.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 5*m + 35*m**2 + 2 - 3)*((-m**2 + 3*m**2 - 3*m**2)*(0*m - 6*m + 4*m) - 7*m**3 + 2*m**3 + 2*m**3).\nAnswer: -35*m**5 + 2*m**4 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.29 - 0.11. Let y = -1.45 - f. Let d = y + -0.25. Which is the smallest value? (a) 0 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - ((-5)\/(-2))\/1)*-8. Is 25\/20 - 1\/f*-5271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 14*q + 3*m - 26, -4*q + 26 = -m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*a - 16 = -9, 5*a + 60 = 10*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4\/(-10))*(-30)\/(-45) + (-189)\/(-35)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 1. Let j be o(-6). Let z = -23.2 + 23.7. Which is the third biggest value? (a) -2\/13 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 865 + -851.09. Let x = 13.3 - k. What is x rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26701 or 26702?\nAnswer: 26701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17586 divided by -2.\nAnswer: 8793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -46447 (c) -1\/135 (d) -2 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 507\/50 in -1\/5, -1\/23, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.870224 to 1 dp.\nAnswer: 28.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.639 and 2976.\nAnswer: -4877.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((a*a**(-36)*a)\/a*a)))\/a**(-1\/8))\/((a*a*a**(14\/13))\/((a\/(a*a**(-11)))\/a)) assuming a is positive.\nAnswer: a**(-2803\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oorovoozzboozoovo. What is prob of sequence robz?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 9:19 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-15 + (-140)\/(-14)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 45. Let v(n) = 3*n**2 - 1. Let o(t) = 7*t**2 - 2*t - 9. Let i(q) = -8*q**2 + 3*q + 12. Let d(g) = 3*i(g) + 4*o(g). Determine s*v(y) + 2*d(y).\nAnswer: -y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**3 + 7*o**2 - 1. Let r(l) = -8*l**3 - 8*l**2 + 1. Suppose 2*s - 24 = -2*s. What is s*u(v) + 5*r(v)?\nAnswer: 2*v**3 + 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-75) + 8\/12. Suppose 2 = 2*h - 2. Determine c so that 2\/5*c**h - l*c - 4\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -954*o + 150 wrt o?\nAnswer: -954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-3\/5))\/a)\/a*a**(2\/3)*(a*a\/a**1)**(-2))\/((((a\/(a\/a**(-1)))\/a)\/a)**(-11)*(a**0*a)**(-1\/16)) assuming a is positive.\nAnswer: a**(-8609\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 6:02 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142356704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -8*c - 15. Suppose -p - 8 = -c*p. Suppose 0 = v - 1, 0 = -3*z + 2*v - 4*v + 2. Solve z = -j + 1 + p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -403957 + 403952.00003. Let m = 2 - -3. Let c = m + w. Round c to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106\/308 + (-16146)\/226044.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364803 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q + 1. Let z be s(3). Let i be (1 - -1)*(z + 14). Solve 0 = 5*r + 25, -w + 2*r + 15 = -i*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6271915, 6271914, 6271913?\n\"Answer: -u + 6271916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44278 or 44351?\nAnswer: 44351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50605 is divided by 296.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -16204.\nAnswer: -16208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x. Let m(t) be the third derivative of t**5\/60 - 2*t**2. Give o(m(u)).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1350\/20)\/15*(-2)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 20\/7 (b) 1\/98 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + 5*i + 4*i + 0*i to the form k*i + a and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 121*t**2 - 7*t - 22. Let h be m(-7). Suppose 4*u = -4*q + 9*q + 5916, 5*q - h = -4*u. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**4 + 61710*b**3 - 185049*b**2 - 1110618*b = 0.\nAnswer: -3, 0, 6, 20567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {m: 4, l: 3, y: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 66. What is the hundreds digit of -3 - 1 - f*143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 675 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**3 - 10*r**2 - 25*r + 52. Let i(z) = -11*z**3 + 16*z**2 + 49*z - 105. Let m(w) = 9*d(w) + 4*i(w). Calculate m(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -13*p**2 - 17*p - 1. Let o(c) = -2*c**2 - 14*c - 13. Let k be o(-1). Let s be r(k). Solve -6*i + 12 = -s*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z - 3*c + 4, 0 = 4*z + 4*c - 4. Suppose -3*g = -8*g + 55. Suppose 0 = x - 13 + g. Solve o - q + x = -z, 0 = 3*o - q + 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b5 - 4?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2306542 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 1517336196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/6 - 11*o**3\/6 + 13*o**2 + 3558*o. Give g(9).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*l + 4 = -3*l, -4*x = 4*l - 24. Suppose 2*o = -32 - 430. Does 40 divide ((-2)\/(x*-1))\/((-3)\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11302120 - -1002?\nAnswer: -11301112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2584183 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 17*p**2 + 14*p + 48. What are the prime factors of m(-21)?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 11358*q**2 + 21500694*q - 13566937914.\nAnswer: 2*(q - 1893)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 + 1 - 1)*(3 - 4 + 3 + (-1 + 2 + 0)*(-3 - 4 + 5) - 1 - 1 + 4 + 3 - 5 + 7 + 69 + 87 - 173).\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)\/(((o*o**(-9))\/o*o)\/o))\/(o**9*o**9\/o))**(-50) assuming o is positive.\nAnswer: o**750","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 696*-0.46.\nAnswer: -320.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14418045 - 1250.\nAnswer: -14419295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - 61*a**2 + 118*a**2 - 74*a - 62*a**2.\nAnswer: 2*a**2 - 74*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -44bf?\nAnswer: -44bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61\/40 - -4253\/2920. Is 1 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17645525?\nAnswer: 5, 705821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/167?\nAnswer: -6\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9626422 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 437*f + 50. Let g be m(0). Solve -2*y = -2*k, -3*y - 2*y = 5*k + g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 + 43. Suppose 0*l - 2*l = -74. Let c = f + l. Put c, -4, -2 in increasing order.\nAnswer: -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0, 3\/5, -351, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o**3 + 10*o**3 + 27*o**2 + 0*o**3 + 23*o - 23 - 6*o**2. Give t(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -708 divided by 236?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*0*3\/33?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3*x**2 - 22*b**3*x + 233*b**2*x**2 + 3*b**2 + 116*b*x - 4*x**2 wrt x.\nAnswer: -6*b**3 + 466*b**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001676 rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*u + 2 - 3, -35 = -5*c - 5*u. Suppose 15 = 5*x - 2*x - c*d, 4*x + 10 = -2*d. Solve x = -4*z + 12 - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 - 137. Solve -2*o + 12 = b*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -705, -714, -725, -738, -753, -770?\n\"Answer: -m**2 - 6*m - 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 10*h + 5. Let p be w(-5). Suppose -p*m + 3*b + 1730 = 0, -m + 0*m + 346 = -5*b. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7141, -14250, -21359, -28468?\n\"Answer: -7109*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 159294, 159264, 159232, 159198, 159162?\n\"Answer: -j**2 - 27*j + 159322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109772380805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 - (-11 + 26 - 10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -308.5 + 309. Let m = -0.33 + -16.67. What is the third smallest value in 4, m, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/150*(-12 - -18). Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l + 0*l + 11*l - 21 - 3*l. Let w be g(-25). Solve -n + w = -0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*m - 610122 - 273954 = 545873. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2)\/(9*19\/171).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23206*q**3 - 17054*q**2 - q + 641054287?\nAnswer: -139236*q - 34108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -260.7.\nAnswer: 10.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47891? (a) -0.3 (b) 5\/4 (c) 0.5 (d) 1.6 (e) 3 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 19*y - 1. Let z be d(1). Let m = -8 - -19. Let a = -4 + 8. Solve -c + m = 4*j, -2 - z = a*c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 3*g + 7*g)*(-g**3 - g**3 - g**3) - 100*g**4 + 174*g**4 - 107*g**4 to q*g + b*g**3 + u*g**4 + i*g**2 + a and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2477*t. Let q(p) = 11*p**2 + 128*p. Determine q(c(x)).\nAnswer: 67490819*x**2 - 317056*x","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/6*(-6)\/(-6)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {d: 1, q: 1, c: 3, t: 1, m: 2, h: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2822, -5624, -8428, -11234?\nAnswer: -14042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 z, and 1 e when four letters picked without replacement from xzfxxefwsss?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2\/3, -0.15, -5\/42, -1\/4, 2\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 + 654*l\/11 - 51220\/11.\nAnswer: -2*(l - 197)*(l - 130)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4249127 microseconds in nanoseconds?\nAnswer: 424.9127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 43464, -2\/9, 0.2, -2\/19, -1\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -498.87 - 9.13. Let t = d - -508.00000056. Round t to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.18551 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjx when three letters picked without replacement from nxjxjnjnjj?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 31\/60*a**5 + 1\/6*a**3 + 0 + 0*a - 1\/24*a**4 + 3*a**2. Is h(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 4:09 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3bd + -228a?\nAnswer: -2658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 10 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09765 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 15*h = 6 - 72 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2. Let g(d) = 34*d**2 + 60*d**2 - 32*d**2. Determine g(v(j)).\nAnswer: 248*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 435239916?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 4:59 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 14*g**2 + 11*g + 67. Let b(z) = 5*z**2 + 4*z + 22. Give -8*b(o) + 3*x(o).\nAnswer: 2*o**2 + o + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10948228 take away 3485?\nAnswer: -10951713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2786673 is divided by 4172?\nAnswer: 3949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -2 (b) 206.79 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**3\/6 - 5*v**2\/4 - 2*v - 1. What is x in o(x) = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/4 - 15*z**2\/4 - 18*z.\nAnswer: 3*z*(z - 8)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -118 - (2218 - 2061)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a**2 + 7. Suppose -4*o + 4 = -3*o, 0 = w + 2*o - 5. Let l be 1*(3 + (-1 - w)). Let m(j) = 6 - l*j + 5*j - 7*j**2. Give 6*k(y) - 7*m(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4520 and 3549782.\nAnswer: 70995640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-1\/3))\/g)\/g)**0*(g\/((g\/(g**(1\/5)*g))\/g*g))**49)**(-2\/15) assuming g is positive.\nAnswer: g**(-196\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2237 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -481 + 766. Let v = b - 784\/3. Calculate the common denominator of (-311)\/63 + 22\/(-77) and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 5*f**2 + f - 3. Let v be j(5). Suppose -5*r + 610 = -4*t, -4*t - v*r - 594 = r. Let p be (10\/t)\/((-2)\/(-6)). Is p > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -1499574?\nAnswer: -31491054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s + 2*s + 3*s - s + s - 2*s + (1 - 2 + 2)*(-s + 0*s + 0*s) - 305 - 106*s + 305.\nAnswer: -111*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x - 18*x - 2622 = -6*x for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 divided by 4?\nAnswer: 661\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-6\/7)*q))\/(q**(-1\/2)\/q))\/(q\/((q**6\/q*q*q)\/q)*q\/(q\/q**9)*q*q*q*q) assuming q is positive.\nAnswer: q**(-79\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 211*t + 7. Let n be b(3). Let o = n - 18. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 13*n + 3*n + 12*n - 1. Let i be t(1). Suppose 2*c + c + 3*w - i = 0, 0 = 3*c + 5*w - 31. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w = 3*v, 4*w - v = 8. Let k(c) be the first derivative of -2\/3*c**w + 0*c**2 + 2 + 3*c. What is the first derivative of k(g) wrt g?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnagnanaaanannanntn. What is prob of sequence tgan?\nAnswer: 35\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:12 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1039 (b) 0.9 (c) 360\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/2486 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 4*u + 5*z - 8*z, -2*u + 5*z + 19 = 0. Calculate the greatest common factor of u and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.536 - -0.03.\nAnswer: 1.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, -21, -22, -9, 24?\n\"Answer: y**3 - 2*y**2 - 10*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*w**3 + 4 + 5 - 10)*(-w - 2*w**2 + w) + (2*w**4 - 4*w**3 + 4*w**3)*(w - 4*w + 2*w).\nAnswer: 86*w**5 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7859 - -8417. What is the greatest common divisor of 713 and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/5 in 0.5, 2\/5, 2\/12495?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77976 and 4428.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5))**12\/(a**0)**(-26\/3) assuming a is positive.\nAnswer: a**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**3\/6 - 15*r**2. Let c = -10 - -14. Let p(i) = -i - 6. Let m(s) = c*f(s) + p(s). What is m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1844 + -1842. Let t(v) = -5*v + 6*v + 12 - 4. Let h be t(-8). Solve g*j + h*j + 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201844212\/17 != 11873189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72.6 - 72.5999956. What is g rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2325 and 8100?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -11, 0.3, -2\/13, -134?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 252 = -63*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - u - 44, r - 2 = 3*u + 4. Let s = 1 + r. Solve 0 = 5*j - s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 30*n. Let x(b) = b**2 - 281 - 186 + 467. What is x(l(o))?\nAnswer: 900*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 950211 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244121 (base 5) to base 2.\nAnswer: 10010001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.769+-56\nAnswer: -55.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = 6*i - 7*i. Suppose -1235 - i = -5*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = i + 6*l - 16, 5*i - 86 = -3*l. Solve -7 = 3*a - i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 0*h + 4*h + h**2 - 6*h**2 - 1. Let x be v(-6). Suppose -3*w = -w + 5*n - 93, 0 = -n + 1. Calculate the highest common factor of x and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7152323 and 5484.6?\nAnswer: 7157807.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173028 is divided by 414?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -65*i + 68*i. Let j(m) = -m**3 - 8*m**2 + 3*m + 24. Let v be j(i). Solve 0 + v*u + 3\/2*u**2 - 3\/2*u**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -166*y**3 - 4729 + 28*y**3 + 24*y**3 - 403*y**2 + 117*y**3 wrt y?\nAnswer: 9*y**2 - 806*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 12:20 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*v + 15 = 0. Solve -3*d - 16 = -5*q, v*q - 7 - 5 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37419, 37407, 37397, 37389?\n\"Answer: n**2 - 15*n + 37433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 4. Let i be l(7). Calculate the greatest common factor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25571364 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4 - 3.6. Let f = -34 - -37. Which is the smallest value? (a) -0.3 (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*p - 42 = 0. Let z(k) = k**3 - 5*k**2 - k + 6. Let b be z(6). Let c = b - p. Solve 3*g = -5*x + c, x + 3*g = -0*g + 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + 54 + -51.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 350*c + 6125.\nAnswer: 5*(c + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1 = 5*b, -3*b + 14 = 5*x + b. Let s(j) = 74*j**2 - 21*j**2 - 30*j**2 - 21*j**x. Let f(a) = -8*a. Calculate s(f(k)).\nAnswer: 128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11171, -11217, -11289, -11387, -11511?\n\"Answer: -13*c**2 - 7*c - 11151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2510 - 4*u + 0*u + 16389 + 0*u.\nAnswer: -4*u + 18899","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*((-332)\/(-14) + 2). Suppose 132 = -n - 2*o, 3*o + 328 + v = -4*n. Let t = 172 + n. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 116*q**2 + 47*q**2 + 1 - 162*q**2. Suppose o + 2*n = -1, 16 - 3 = -o - 5*n. Let g(x) = x**2 - 7*x. Let r be g(o). Determine v(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 16*r + 5. Let a be j(7). Let d = a - -110. List the prime factors of d\/(-6)*((-1755)\/10)\/9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1704012.\nAnswer: 2, 3, 17, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/7 - 28272880*y\/7 - 99919467936800\/7 = 0.\nAnswer: -7068220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 353642\/7 + -50367. Let q = p + -153. Let t = -0.28 + -0.02. Which is the nearest to 1? (a) t (b) q (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36061 divided by -63.\nAnswer: 36061\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/42)\/((-4)\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/6)\/(1\/27). Let r be ((-4)\/6)\/((-6)\/v). What is the greatest common factor of 2 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 386 = -335. Let b = i - -114. Solve -2*s = 5*k + 4, 4*k - s + b = -0*s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*g**2 - 188*g**2 + 95*g**2.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y = -9*y. Suppose 25*i + i - 208 = y. Let k(q) = -q + 10. Calculate k(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8679 - -8676. What is the closest to 1 in -1, 4\/7, 1.3, p?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 426 - 213 - 213 - 8703*n**2 in the form w*n**2 + j + y*n and give w.\nAnswer: -8703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136442?\nAnswer: 2, 17, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -805 = -25*d + 1145. What is the least common multiple of d and 36?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/15))**(2\/55) assuming z is positive.\nAnswer: z**(-4\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82737593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13088 and 187168?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 6:25 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6 - (-2 - 4) - (7 - (12326 + -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -842*-0.5\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(2\/39))\/((k\/k**(3\/20))\/k) assuming k is positive.\nAnswer: k**(1717\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -55.7. What is the closest to -2\/9 in t, 1\/6, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*a = -7*a + 508, 4*a = -3*q + 388. Suppose d + q - 123 = 0. Do -2\/413 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-28))\/((-18095)\/4136).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-16) - (-8)\/2. Let u be 2\/i - 292\/(-20). Let z be 1 + (-6)\/u*-5. Solve z*w = -0*w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 39 - 49 + 22 + (-2 + 0 + 0)*(-5*b + 9*b + 4*b) + (b - b - b)*(0 - 4 + 3) + b - b - 2*b + b - 2*b + 3*b + 20*b + 7*b + 4*b.\nAnswer: 17*b + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63418573?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 + -4.04. Let c = 1041.04 - 1041. What is the closest to 0 in c, w, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(0 + (2 + (sqrt(1700) - (sqrt(1700) + -1)) - (sqrt(1700) - (sqrt(1700) - (4 + 0 + sqrt(1700))))))**2.\nAnswer: 240*sqrt(17) + 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -0.08622.\nAnswer: -0.58622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = 9*g - 3*g + 5*f, -2 = -2*f for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/16)\/(66\/(-8712)*-231).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x - 13. Let u(p) = p - 2. Let m be u(-2). Let w be t(m). Is 9 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/(-3)*(0 - -1). Let m(g) = g**2 - 13*g + 23. Let h be m(y). Let v(w) = -4 + h - 1 - 4*w. Give v(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-185)\/(-65) + (-800)\/26000*(1 - 6). Solve -52\/3*t**w - 4*t - 2\/3 + 16*t**2 + 6*t**4 = 0 for t.\nAnswer: -1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3349 - 3421 - (-1 - 36)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 4:00 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 4.7. Let k be (-401)\/(-401) - (1 - -1). What is the nearest to k in c, 7, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 440443*a**2*w**4 + 12*a**2*w**3 + 96*a**2*w**2 + a**2*w + 8*a**2 - 586*a*w**2 wrt w.\nAnswer: 10570632*a**2*w + 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 3. Let z be t(-6). Let s(q) = -q + 5. Let p be s(z). Suppose p = 2*v - v. Is 2 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106949 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(6\/11)*g*g*g**(-2\/19)*g)\/(g\/(g**4\/g)*g**(-2)*g) assuming g is positive.\nAnswer: g**(1346\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1015, 1011, 1003, 991?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 2*p**2 - 2*p. Let t be j(-2). Sort t, 3, 5.\nAnswer: t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 b when three letters picked without replacement from {p: 5, b: 1, d: 2, m: 11}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.4 - 0.4. Let a = 10.0000001 - z. Round a to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*i - 1. Suppose -i*b - 1303 = -3*h, -8*h - 864 = -10*h + 5*b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((44 - 28 - (-2 - -1)) + -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*b + 66*b = 14077. What are the prime factors of b?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14314.\nAnswer: 2, 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/102 (b) 178 (c) 4 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 1544511 = -4645311. Round w to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 7*t + 10*t - 10*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.24 + 0.04. Suppose 3*d = -4 - 5. What is the second smallest value in 2, d, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89092 - 2*v - 89081 - v.\nAnswer: -3*v + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 873 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6835927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.322 - 10.\nAnswer: -16.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 576710314?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**4\/9 - 676*k**3\/9 + 1184*k**2 - 48896*k\/9 + 38912\/9 = 0?\nAnswer: 1, 8, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5026, -10046, -15066?\n\"Answer: -5020*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -453630?\nAnswer: 1\/45363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 - 1934*h\/11 - 1932\/11.\nAnswer: -2*(h + 1)*(h + 966)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, d: 5}. Give prob of picking 2 d and 1 b.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 12 = -3*t + 8. Let m(d) = d**2 + 2*d + 5. Determine m(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjee when four letters picked without replacement from ejejdfdnnejcdc?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -7.8, -2\/5, -13\/4, 13\/10?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1680*o + 95. Let r be b(8). Let j(l) = l + 635. Let h be j(0). Let w = r - h. What is w rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379316 divided by -2852?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert fe (base 16) to base 5.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67872971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*w - 35, 10 = 4*v + w - 15. Suppose -10 = -m - v. What is the highest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/11)\/o*o)\/o)\/(o**(-2\/7)\/o))**(-2\/51) assuming o is positive.\nAnswer: o**(-16\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, l: 5}. What is prob of sequence hhll?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-258)\/(-18) + -14)*-42?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w - 4*w + 0*w - 10*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-2 - -1)*-4. Let d = 984 - 907. What is the third derivative of 12*m**3 + 24*m**p - d*m + 77*m - 3*m**2 wrt m?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-5))\/((-5)\/(-10)). Suppose 2*h + 2*x = 6*x + 22, 2*h + 5*x + 23 = 0. Let g(t) = t**3 - t**2 - 2*t + 1. Let q be g(h). Which is smaller: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*l - 2*l + 201, 0 = 3*l + 4*t - 274. Suppose 4*a - l - 42 = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 0.3. Let r = 21061.9 + -21061. What is the second smallest value in r, 4, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.6 and -4.037?\nAnswer: -26.6442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/2 + 7*t**4\/2 - 3*t**3 - 56*t**2 - 80*t = 0.\nAnswer: -5, -4, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1899520*f**3*g + 15*f**2*g - 2*f*g - 29799*f + 18*g wrt f?\nAnswer: -11397120*f*g + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 (base 9) in base 11?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4 - 102*i**3 + 195*i**2 - 96*i = 0. Calculate i.\nAnswer: 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {u: 1, f: 3, v: 1, w: 1, o: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6401354 or -6401355?\nAnswer: -6401355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 10*j - 17. Let r(d) = -d**2 + 3*d + 5. Let k be r(3). Suppose -23 - 28 = -2*g + k*u, u = -g + 8. Is v(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s + 2 = 0. Let z = 6 + s. Suppose 4*k - 4*x + 24 = 0, 5*k - z*x = -9*x. Sort 5, k, 0 in increasing order.\nAnswer: k, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1718 = 3*a - 20*g + 1769, 0 = 5*a + 2*g - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.6 + -1.4. Which is the nearest to -0.1? (a) m (b) 5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 32377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (-5 + 1)\/(-4). What is the derivative of -5*q + m*q - 423 + 349 - 29*q**4 wrt q?\nAnswer: -116*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**6\/d**4*(((d*d**(-6))\/d)\/d)\/(d*d*d*(d\/(d*d\/(d\/d**(4\/3))))\/d) assuming d is positive.\nAnswer: d**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0519 and 0.20234061784?\nAnswer: 0.25424061784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -27*a**2 + 10*a + 15. Give g(-2).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(3\/(((-24)\/2)\/4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -4*u + 1, 4*u + 2157 = 4*x + 2153 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, -0.45, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*p*s**3 + 546020*p*s - 35985*s**2 wrt s?\nAnswer: -24*p*s - 71970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Let p = -5 + m. Which is the closest to p? (a) 1\/3 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -6?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12921221457+-2\nAnswer: -12921221459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-13)*z*z)**(8\/13) assuming z is positive.\nAnswer: z**(-80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -858 by -3.\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.46 times -0.2\nAnswer: -0.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q - 0*q. Suppose 5*i - q = 4*a, 0*a - 3*i = -5*a - 16. Let z(g) = 5*g**2 + 4*g - 1. Let l(c) = -6*c**2 - 5*c + 1. Give a*z(u) - 4*l(u).\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2257 + 0.1257. What is the nearest to x in 0.03, 4\/7, -2, 1\/2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.666 - 0.034. Let y = p + 2.3. Sort y, -5, -3.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4186 = 4*s - 4176, 2*l - 10 = -6*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 7 + 6 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3411.\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10494 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hto when three letters picked without replacement from vttokggh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3629\/3 - 1210. Which is the closest to 1? (a) 1 (b) -2 (c) 14 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9397856 to 3 dps.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -i + 5*i + 14, -5*i = -d + 17. Suppose d = -v + 13. Suppose 270 = 16*m - v*m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**3 - 12*k**2 + 217*k + 2187. Calculate s(-10).\nAnswer: 2817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -15, -5 in ascending order.\nAnswer: -15, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -8194872 and -8194875 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25367, -50740, -76115, -101492, -126871?\nAnswer: -152252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -1.2. Let b = 22 - 1. Let s = b - 16. Put g, 2\/11, s in decreasing order.\nAnswer: s, g, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2735936*g**5 - g**3*i**3 - 3*g*i**3 + 6*g*i + 7*g + 250*i**2 - 22*i wrt g?\nAnswer: -54718720*g**3 - 6*g*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**2 + 694*g + 374. Determine w(176).\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 305 - 5183\/17. Which is the closest to -0.1? (a) v (b) -1\/8 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 15 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181 + 186. Solve n*h + 29 = -2*z, -h + 3*h = -3*z - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 5*o + 2. Let a be x(5). Suppose 3*b - 3 = -4*s, 6*s = a*b + s + 21. What are the prime factors of ((-12)\/(-18))\/((-1)\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 2:28 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -57. Let w = -3.1 - u. What is the second smallest value in 3\/7, 2, w, -3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124079759 to the power of 1\/2, to the nearest integer?\nAnswer: 33527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 1\/6*s**3 - 4*s - 1\/20*s**5 - 1\/12*s**4 + 0*s**2 + 0. Let u(l) = 4*l**3 + 3*l**2 - 3*l + 1. Give 3*n(b) + u(b).\nAnswer: b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/7, 0.3, 0.4, 4\/7, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1266 divided by 5?\nAnswer: -1266\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -152, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4 - 3648*q**3 - 836564*q**2 - 22546920*q = 0. What is q?\nAnswer: -551, -330, -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1613693 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -176531*y**4 - 34865 with respect to y.\nAnswer: -706124*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6)*(-12)\/38. Let p be (-68)\/119*(39\/(-6) - -3). What is the second smallest value in -3, p, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b + 40. Let t be w(-10). Suppose t = -14*r + 21*r + 609. Calculate the common denominator of (3\/6 + -1)*r\/(-18) and 57\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1619?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -10, -157, 31, 0 in increasing order.\nAnswer: -157, -10, 0, 0.4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 1485.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -6003 - 6957. Suppose -w - 14*n**2 + 5*n**2 + 0*n**2 + 3*n**2 + 72*n + 5*n**2 = 0. What is n?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlwxqwlqxnww. Give prob of picking 2 w and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 424*h + 40748.\nAnswer: -4*(h - 167)*(h + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12113.\nAnswer: 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 0 = 18. What is the remainder when 19 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*s + 44 = -63*s. Let y be (-3)\/(-1)*15\/9. What is the second derivative of 3*a**2 - s*a**2 + y*a**2 + 6*a wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8))**(-1\/4) assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*t + 3058 = 113*t + 12925 + 5658 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-1560)\/(-32))*-5.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -99, -261, -439, -615, -771, -889, -951, -939?\n\"Answer: 3*n**3 - 26*n**2 - 105*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-2\/11)\/c)*c*c*c\/(c**5\/c)*c*c*c*(c\/(c*c*(c*c*c**(1\/10))\/c)*c)\/c**(2\/25))**(2\/49) assuming c is positive.\nAnswer: c**(1651\/13475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28036 or 28044?\nAnswer: 28044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 74. Suppose -95 = 2*j - 2261. Suppose -3*h - f = -3224, h - f + l*f = j. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*c**3 - 2*c**2 + 36*c**3 - c - 79*c**3 + 0*c**2 - 2 + c**4 to m*c + j*c**4 + b*c**3 + r + s*c**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2289.70140056 + -2288.3014. Let k = -7.6 - -9. Let t = g - k. Round t to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 24221*m**2 - 146288064*m - 4558236156.\nAnswer: -(m - 12126)**2*(m + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/265 or 26?\nAnswer: -6\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/45)\/(d**(-2\/7)\/d))\/(d**(2\/11)\/d*d\/(d\/((d\/d**(-1))\/d*d))) assuming d is positive.\nAnswer: d**(514\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -288391?\nAnswer: -4\/288391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izieiiziizofo. Give prob of sequence ize.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -448595 * 1.2\nAnswer: -538314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 m when four letters picked without replacement from {d: 1, m: 3, j: 1, r: 4, p: 5}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*h + 107521, -408*r + 53764 = 2*h - 404*r. What are the prime factors of h?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**5\/60 - 7*r**4\/24 - 2*r**3\/3 + 6*r**2. What are the prime factors of s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - 2*i + 3*i + (-5*i + 4*i + 6*i)*(5 - 4 + 1).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 82*i - 718*i + 41*i + 10*i - 2.\nAnswer: -749*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -26*f - 9. Let t be y(-5). Let q = 5 + -5. Suppose 3*v + t - 442 = -5*l, -l - 5*v + 73 = q. Calculate the remainder when l is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-1))\/((-10)\/2150). Let z = -186 + r. Calculate the highest common divisor of 145 and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -11*x + 1. Let c(v) = v**3 - 6*v**2 + 5*v + 5. Let r be c(5). Let o(p) = p - 6. Let n be o(r). What is the units digit of m(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b + 1555. Calculate the smallest common multiple of n(-41) and 640.\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53674 is divided by 244?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**4\/2 + 193*g**3\/6 - 2*g**2 + 3*g - 14. Let n(s) = -2*s**2. Give n(h(u)).\nAnswer: -288*u**2 - 9264*u - 74498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgox when four letters picked without replacement from {o: 1, x: 3, g: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2221128 and -37\/672.\nAnswer: 8884512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 4. Let m be o(-5). Let h be 3\/m - (-3 - -4)*3. Suppose -w = -3*t - 6, 4*t - 5*w = 5*t + 2. Sort t, 2, h.\nAnswer: t, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -22*(-1)\/16.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -520*i + 43746 + 5782 - 10008 for i.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83\/(-3))\/((-2*(-3)\/(-216))\/((-350)\/4200)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + s - 8 = 0, 2*i - 26 + 4 = -5*s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 e when three letters picked without replacement from ffefee?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -25016?\nAnswer: -25020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/21264 and 91\/69852240?\nAnswer: 69852240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -4 - (-71 - -80).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -483, -136407, -0.1?\nAnswer: -483","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2255 and -13\/1196445?\nAnswer: 539596695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333\/(-2516) + (-9)\/(-36).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1555 = 115*l - 5*l - 3664 - 1821 for l.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 66, 96, 126, 156, 186?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9142 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10809, 23478, 44619, 74238, 112341, 158934?\n\"Answer: l**3 + 4230*l**2 - 28*l + 6606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -60 - -3d?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29750010739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(3*(0 + (-1)\/(-3))). Suppose -5*r + 3*b = 24, 4*r + 2 = -3*b - t. Let s be r - (-9 + 6\/2). Solve 0 = -8*l + s*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 6. Let g(p) = 2*p + 3. Determine -9*g(q) + 4*k(q).\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.1 + -191.1. Let j = 181.0127 + d. Round j to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 2. Let i = 12 + -18. Let n = -7 - i. Which is the nearest to n? (a) -5 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1200302 - -201?\nAnswer: 1201103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 1, -5, -127989 in increasing order.\nAnswer: -127989, -5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**3 + 7*i**2 - 4*i - 6. Let o = 108 + -107. Let y(a) = -a**3 - a**2 + 1. Let f(v) = o*s(v) - 6*y(v). List the prime factors of f(-13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - k = -64. Let o be (-6)\/k + (-130)\/(-104). Solve f = -q - 0*q - 4, -o*f + 4*q + 10 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -69*s + 0 - 3*s**2 + 1\/3*s**3. What is t(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((11 - 6) + -1 - 20\/(-5)) + 1418 and 186?\nAnswer: 4278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**2\/2 + 12*i - 9. Let c be p(8). Solve 14 = -2*j + 4, 14 = 2*s - c*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22909 + 4723572.8947\nAnswer: 4700663.8947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 2. Let q(u) = 12*u**2 + 68*u + 128. Let r(o) = q(o) + 4*z(o). Solve r(a) = 0.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*o - 117 - 118 + 236 to l*o + d and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9502.\nAnswer: 2, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -6, 4, 0.06206, -1, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -2*y - 846. Suppose a - y = -5*m, -4 = a - 3. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14560 and 1344.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49920 divided by 3?\nAnswer: 16640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1. Let y(f) = 3. Let j(l) = 4*x(l) - y(l). Let a(v) = -2*v**2 + 7*v + 38. Let w(s) = -a(s) - 6*j(s). Is 55 a factor of w(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((-507)\/1872*4).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-2)\/3*-3. Suppose -2 = -2*z + 6. Differentiate -4 + 0 - z + 5 - o*t with respect to t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/12149 and -131\/870.\nAnswer: 10569630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 2.6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 22 + 17)*(0 + 1 + 2)*(0*g - 2*g + 0*g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z + 40*z - 3*r = 32986, -3*z = 2*r - 49466. Does 194 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -4 (c) -15395 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9\/5, -6, -708\/19, 1, -4?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 - 12 = q. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -96cbc8 (base 13) in base 5?\nAnswer: -1401311030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3309*r - 357414. What is q(-108)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4164624 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201 - -2102000201?\nAnswer: 2102010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 - 1\/(-3). Let i = 212\/3 - 69. Let t be -1 + 69\/45 + 5\/(-25). Which is the nearest to y? (a) t (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u**4 + 25*u**3 - 5*u**2 - 25*u - 10 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 at least as big as 1187\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 59668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, -2, -9, -20, -35, -54, -77?\n\"Answer: -2*c**2 + 3*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*l = -36, 0 = 5*i - 4*l + 3 + 6. Let o(j) = 8*j. Let h(w) = 4*w. Let b(q) = i*h(q) + 2*o(q). Let n(f) = -2*f**2. Determine n(b(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000110 + -11001?\nAnswer: 10001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 + 145*z**2 + 2*z - 3. Let v(i) = -i**3 - 147*i**2 - i + 2. Determine 3*r(h) + 4*v(h).\nAnswer: 2*h**3 - 153*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*f + 131*f + 15*f**3 - 57*f - 12*f**3.\nAnswer: 3*f**3 + 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22176)\/1155*10\/6?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 17*i - 5. Let s(c) = -c**3 + 6*c**2 - 4*c. Let x be s(5). Let w(m) = -2 + m + 3*m + x - 4. Let f(k) = -2*l(k) + 9*w(k). What is f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + -0.06. Let s = j - 2. Let g = 0 + s. Put g, -0.5, -3 in increasing order.\nAnswer: -3, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 341*z**2. Let q(p) = 437*p. Calculate g(q(y)).\nAnswer: 65120429*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 10*r**2 - 9*r - 20. Determine n(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 + -1. Let d = 10.9 - 11. What is the nearest to d in -2\/7, r, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) 0.5 (c) 2\/5 (d) -3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 3720801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 204493661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(-2*sqrt(3993)*-3 + 6*(sqrt(3993) + sqrt(3993)*-2 + sqrt(3993)))\/(6*-3*sqrt(11) - (sqrt(11) - sqrt(55)\/sqrt(5))*-3).\nAnswer: 88*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m + 34*m + 283 - 19*m.\nAnswer: -2*m + 283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*g = -462*g + 5*c - 25, 3*g = -4*c + 23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -8. Suppose -19 = 16*c - 19*c - a, -3*c = -4*a - d. What is the lowest common multiple of c and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 674727823 and 111952?\nAnswer: 674615871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1304 = -2*j, 0 = 5*h + 4*j - 4336 - 2160. Suppose -4*u = -4*l + h, -4*l - 8*u + 5*u = -1324. What are the prime factors of l?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41598165 to the power of 1\/4, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*(-3240)\/(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 962750495 to the power of 1\/2, to the nearest integer?\nAnswer: 31028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 30 = -2*t, -5*t + 94 = -0*t + 2*n. Let z be 48\/t*6\/(-20). Which is the nearest to -0.1? (a) 2 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108568 and 3310.\nAnswer: 542840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*v**3 - 126*v**2 + 357*v + 468.\nAnswer: -3*(v - 3)*(v + 1)*(5*v + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -48. Let b = 40 + w. What is the biggest value in -3, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 11*b + 787. Let t be m(-73). Sort t, 4, 52 in ascending order.\nAnswer: t, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57\/4276 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -831 - a**2 + 800 - a**2.\nAnswer: -2*a**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -221.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21020330001 + -10113?\nAnswer: 21020313222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -25. Suppose -2*z = -3*z - 34. Let q = -239\/7 - z. Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 21*i - 90. Which is the third biggest value? (a) -4\/15 (b) 3\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317 + -309. Suppose -7*l + w = -p*l + 7, -22 = -l - 4*w. Solve -l*i - 7 = 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1. Let o be -68 + 5 - (-16)\/(-4). Let m = 70 + o. Let p(d) = 5 + d**2 + 1 + 2 - 4. Give m*t(r) - p(r).\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 + 368*x**2 + 30*x + 73735. What is h(-185)?\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 5*y + 15 = 31, 0 = 5*z + 2*y - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12408 and 40044.\nAnswer: 880968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 4512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 226262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3404.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1656, 2, 42, 4.\nAnswer: 2, 4, 11, 42, 1656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 648*f**3*g**3 - 9*f**2*g**3 - 1060*g**3 - 4*g**2 - g wrt f?\nAnswer: 1944*f**2*g**3 - 18*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/7 - s**4\/7 + s**3\/7 + s**2\/7.\nAnswer: -s**2*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*h - 12*h + 6. Put 3, 4, h in descending order.\nAnswer: 4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 572*q**2 + 6*q + 25. Let u be c(12). Suppose -2*k = 1402465 - u. What is k rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**2 - 146126*y + 29971.\nAnswer: -2*y - 146126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3885 - -29361?\nAnswer: 258ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {s: 2, c: 1, e: 1, a: 2, g: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.552 + 0.522. Which is the nearest to 2\/7? (a) 5 (b) s (c) 2\/15 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z**3 + 1440*z**2 - 1884*z + 624 = 0 for z.\nAnswer: 2\/3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 12*g**3 - 2*g**2 - 2*g. Let p be q(2). Let t = 50 - p. Is -34 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 23*n - 106 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -516ca2 (base 16) to base 8.\nAnswer: -24266242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64251*u**2 + 2*u - 1235 + 65423*u**2 - 360 with respect to u.\nAnswer: 2344*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-2) - -1)\/3. Suppose 6*q - q - 30 = d. Let h(i) = i**3 - 6*i**2 - i + 3. Determine h(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-90)*(-25)\/(-10)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -74\/53, 3, -5, 0.1, 0.3.\nAnswer: -12, -5, -74\/53, 0.1, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 9576*g**2 + 3*g**3 - g**3 + 9575*g**2 - 19155*g**2 + 236*g in the form n*g + p*g**2 + m*g**3 + l and give n.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 8*v + 21. Let j(o) = o**3 - 2*o**2 + 4*o - 1. What is the lowest common multiple of j(2) and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 4*m + 10. What is the remainder when 74 is divided by a(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 28 + a**2)*(539*a + 249*a - 166*a + 58*a).\nAnswer: 680*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*q**4 - 31 - 32 + 18 wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215701 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 517601, 1035198, 1552795?\nAnswer: 2070392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2 - 4889614*f - 4889616 = 0.\nAnswer: -1, 2444808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8934.65 days?\nAnswer: 12865896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694 - 53 - 693 + u**3 - 729 + 2856 - 687.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 40 = -2*s, -5*s - 7 + 80 = m. Let l = -39 + 27. Let a = l + s. Are a and 15\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(300) - (sqrt(300) - (sqrt(300) + -2 - sqrt(300) - sqrt(300)))) + sqrt(300) + 0)**2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*h + 214 - 489 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2 = -3*i, n = -4*n + 4*i - 6. Let x(a) = -2*a**2 - 20*a - 15. Let l be x(-9). Solve -l*c - n*c - 15 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {u: 1, t: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118807, -118722, -118569, -118342, -118035, -117642, -117157?\nAnswer: -116574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2056712397.\nAnswer: 3, 41, 16721239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/2))**(4\/11)\/(t**(-8)*t\/t**(-1\/3)))**45 assuming t is positive.\nAnswer: t**(3570\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462000 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (-4 + (-1*sqrt(833))**2 + -2 + sqrt(833) + sqrt(833) - (-6*(sqrt(833) + 0 + sqrt(833)))**2*3) + -3).\nAnswer: -42*sqrt(17) + 1077105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5*(sqrt(19)*1 + sqrt(19)))**2 - 2*sqrt(684)).\nAnswer: -12*sqrt(19) + 1903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is a7 (base 12) in base 8?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (109 - (-129639)\/(-1185))*(-42)\/4.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25243197*v**5 + 101008459*v**2 wrt v.\nAnswer: -1514591820*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10823 - 10793.2. What is the closest to b in 2\/19, 0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7 + 144\/63. Suppose 2*j - 4*c = -14, 5*j - d*c = -0*j + 5. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3781, 3774, 3767?\nAnswer: 3760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 2*d + 17. Let n be k(6). Let a = -63 + n. Suppose -2\/5*y**4 + 6\/5*y**a - 4\/5*y + 0 + 0*y**3 = 0. What is y?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -133, -2\/19, 1.41, -3, -4, 3, -0.3?\nAnswer: 1.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 4*h**2 + 7*h**2 - h**2.\nAnswer: 10*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1267)\/(-5) - 6\/15. Suppose 57*o = 65*o. Suppose 4*s - y - 155 = o. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - g**2 - 2*g**2)*(1114*g + 516 - 516).\nAnswer: -2228*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2211552 is divided by 2211541?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -620 times 1957.6\nAnswer: -1213712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15283, -61239, -137871, -245179, -383163, -551823?\nAnswer: -751159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 896?\nAnswer: 89b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 + q**2 - q + 19. Let u(i) = 9*i**3 + 6*i**2 - 6*i + 102. What is 11*k(y) - 2*u(y)?\nAnswer: 4*y**3 - y**2 + y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 299\/64?\nAnswer: 299\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353440, -704207, -1054974, -1405741, -1756508, -2107275?\nAnswer: -2458042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(209)*-3 - sqrt(209))\/sqrt(11))*-4.\nAnswer: 4 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r*r**(-15)\/r*r)\/r))\/(r\/r**(2\/3)) assuming r is positive.\nAnswer: r**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**4 + v**3 + v + 1. Let g = 20 + -8. Let n(a) = 2*a**3 + 2*a + 11 + 10 - 11*a**4 - g + 6. Let b(z) = n(z) - 2*y(z). Differentiate b(h) wrt h.\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-10) - (6 + (-7986)\/20). Solve k*p = 388*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - 1.96. Is 0.04 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1079*x + 1759*x = -8235 - 23725 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11508502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)*j**(-35)\/j)\/(j**(-3\/14)\/j)**(-3\/40) assuming j is positive.\nAnswer: j**(-21331\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 61, 12, -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(7488)*-4)**2 - ((sqrt(6292) + sqrt(6292) + sqrt(6292) + 0)**2 + -3)*-6.\nAnswer: -384*sqrt(13) + 818983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 339, 770, 1195, 1608, 2003, 2374, 2715, 3020?\n\"Answer: -w**3 + 3*w**2 + 429*w - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:35 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.026826 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from {h: 1, v: 2, f: 1, t: 1, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*(sqrt(832) + 1) + sqrt(832)) - (5 + sqrt(832) + 1 + (sqrt(832) - (sqrt(832) + (sqrt(832) + 1 + sqrt(832) - sqrt(832))*5))))**2.\nAnswer: 4096*sqrt(13) + 213248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c - 5. Let q be u(-4). Let h = 1617 - 13013\/8. Find the common denominator of h and q + 3 + 7\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 5*r**2 + 3*r + 4. Let g be x(-4). Let d = 12 - g. Factor -d*t**4 - t + 14*t**4 - 3*t - 10*t**2 - t + 5*t**5.\nAnswer: 5*t*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96722994, -96722996, -96722998, -96723000, -96723002, -96723004?\nAnswer: -96723006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 > 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44 and -0.120776.\nAnswer: -5.314144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 6. Let x(s) = -3*s**3 - s**2 + s + 2. Let y be x(-2). Let c = -12 + y. Let q be u(c). Which is greater: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1321596?\nAnswer: 6607980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170020 divided by -5.\nAnswer: 34004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 542 + -52541?\nAnswer: -51555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52554780 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26002848 to the nearest integer?\nAnswer: 5099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 22*k + 25. Let u be d(-23). Let p(s) be the first derivative of 4\/3*s**3 + 2*s**u + 3*s + 4 + 1\/2*s**4. Calculate p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30065*q - 36014 wrt q?\nAnswer: -30065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/72)\/((-1)\/(-3)*-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101.5 - 100.5. What is the second smallest value in -0.4, y, -2, -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 - -0.03. Let h = -1380\/13 + 106. What is the closest to -1 in o, -16, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 0. Let r = s + 7. Suppose -74 = -4*t + 18. What is the remainder when t is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 - 3*s**2 - 2*s + s - 6*s**2 + 12*s**2 - s**2 + (4 - 2*s - 4)*(-2*s + 0*s + 4*s) + 2*s**2 + 0 + 0 - 5*s**2 + 4*s**2 + 3*s**2.\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25595895\/9998 - -38\/24995. Let j = 2566 + l. Let a = 65699\/12 - 5482. Find the common denominator of a and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5 - 178*f**4 - 1814*f**3 + 24632*f**2 - 24395*f - 158950 = 0.\nAnswer: -17, -2, 5, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 5*n - 2*n)*(14*n**2 - 9*n**2 + 17*n**2) + 3*n**3 + 2*n**3 - 2*n**3.\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**2 - 4888*y - 988982. Determine h(-286).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than 480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 22*u - 85. Give b(-25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 17775*z - 88750.\nAnswer: -5*(z + 5)*(z + 3550)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -178.8 - -179. Let d = 8 + -6. Which is the third biggest value? (a) d (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 995 = 5*s, 3*p = 6*s - 2*s + 600. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-3*((-6)\/18)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314319 is divided by 13664.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -1\/3 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00807557 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 2695*p + 8086\/3.\nAnswer: -(p - 8086)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**7\/42 - 3*f**4\/4 + 4*f. Find the third derivative of q(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771906*b + 3*b**3 - 771906*b.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 38*v + 20*v - 660 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**(-1\/10)\/k)\/k))\/k)**(-1\/27) assuming k is positive.\nAnswer: k**(-7\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - 18*y - 32. Calculate o(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2030664444 + 3?\nAnswer: 2030664450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14472 + 15383. Is f bigger than 915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11904052 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 15155755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432999984 = 5*v - 4*d, -4*v - 5*d = -6*d - 346399996. Round v to the nearest 1000000.\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 527*x**2 - 756*x**2 - 326*x**2 - 800*x**2 + 3*x as d*x + q + r*x**2 and give r.\nAnswer: -1355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 67 = -161. What is the least common multiple of n and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n**2 - 24*n - 40. Let j(q) = 8*q**2 + 24*q + 41. Let v(o) = 6*j(o) + 7*m(o). Let l be v(-22). Solve 2*h + l = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6*z + 33. Let u = 13 + z. Let y = 9.1 + -9.6. What is the closest to -1 in -4\/7, u, y?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnt when three letters picked without replacement from {n: 2, t: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4\/4 - 10017*y**3\/4 - 11415285*y**2\/4 - 4721849475*y\/4 - 80469214875 = 0. Calculate y.\nAnswer: -1085, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 357672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2926858, -2926782, -2926706, -2926630, -2926554?\nAnswer: -2926478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-5248)\/(-1 + -3). Let d = p - -2035. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from rgtrrtgggrtr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocwfoowckwc. What is prob of sequence kf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6813 rounded to two decimal places?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4185*b**2 - 16520*b - 880 = 0 for b.\nAnswer: -44\/837, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/6 + 19*h**3\/2 + 527*h**2\/6 - 195*h\/2 = 0.\nAnswer: -45, -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13805, 12219, 7919, -451, -14247, -34825?\n\"Answer: -226*x**3 - x**2 - x + 14033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/7))\/v**(-17)*(v\/v**(-1\/18))\/(v**(-2\/25)\/v) assuming v is positive.\nAnswer: v**(64327\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 702298.69 rounded to the nearest 10000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 49. Solve -a - 6*j - 15 = -r*j, -a = j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 4*c**2 - 25*c**2 - 26*c**2 + 9*c**2.\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-36))\/((-28)\/(-48)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*q**2*y + 2877*c**2*y + 21*c*q**2*y - 2*c*q + c + 18*y + 2 wrt c.\nAnswer: -2*q**2*y + 5754*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1154 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -17050?\nAnswer: 14\/8525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 6082992.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7240 in -0.81, -1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-1)\/3 + (-14)\/210. Let s = 6 + -4. What is the closest to l in -0.3, s, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39484073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175 a factor of 16538125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*v - 13 + 1 = 0, 6 = 2*v. Let y(z) = -z**3 + 6*z**2 + 6*z + 9. Let t = 10 + -3. Let d be y(t). Sort c, d, 5 in ascending order.\nAnswer: c, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3724)\/(-56)*424\/(-742)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 12*y**2 + 11*y + 33. Give v(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 57320.48 years?\nAnswer: 573.2048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004077 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -3. Let j = -6 - d. Let s(h) = -1 + j + h - 2. What is s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6831)\/(-22) + 1\/(-2). Suppose 10*p + b = 15*p. Let v = p + -34. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - (2 - (-1 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.13212 to two decimal places.\nAnswer: 30.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-3) - 2*6\/(-18). Suppose -b + g*t + 52 = 0, 2*b + 3*t = -0*b + 115. Let k be b\/5 + 52\/65. Solve -3*z = z + k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, -0.1104, 1.8?\nAnswer: -0.1104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.3 + 5.6. What is the third smallest value in f, -0.3, 1\/10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6107 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.02922, 1, 3?\nAnswer: 0.02922","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2398 + 1254 = a. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = 4. What is the remainder when 186\/l - (-9)\/(-36) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(128)*-4)**2 - 3*(3 + sqrt(128)) - ((-6*(2 + sqrt(242) + sqrt(242)) - sqrt(242)) + 3)*-1.\nAnswer: -167*sqrt(2) + 2031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -26*j**2 + 11*j + 11. Let m(d) = 4*d**2 - 1 - 9*d**2 + 4*d**2 - 6*d - 5 + 14*d**2. What is -6*l(c) - 11*m(c)?\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138005 and 34055?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 6*n + 11. Let p be l(-8). Put -3, 3, p in increasing order.\nAnswer: p, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5897316 and 20.\nAnswer: 29486580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 less than 240791?\nAnswer: 240823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w*(w\/(w\/(w*w**(1\/4)*w*w))*w)\/w*w)*w)**6*w**(3\/7)\/(w*w**(-4)*w))\/((w**(2\/5))**(-3\/13)*w*w**(-6)*w*w*w**(-8\/5)) assuming w is positive.\nAnswer: w**(-2253\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(22\/5))\/(f\/(f\/f**(12\/7)*f))*(f**(-12)*f*f)**(11\/5))**(8\/13) assuming f is positive.\nAnswer: f**(-4848\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 5:58 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - -1*sqrt(20) - -6*sqrt(125)) + (-3*sqrt(35)*-2)\/sqrt(7)*-1.\nAnswer: 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -376 + 371. Let r be -1 + 0 + (-7)\/h. What is the closest to 0.1 in -2\/7, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1613364660+-8730\nAnswer: 1613355930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/45 - 7943\/(-5). Factor -801 + o**2 - 797 + x.\nAnswer: (o - 3)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/20790 and 37\/195.\nAnswer: 270270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 b when three letters picked without replacement from {m: 7, b: 2, j: 1, h: 1, g: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -272*r. Suppose 3*v - 3*x = -3, -3*v + 3*x = -2*v - 1. Let t be p(v). Let i = -1109\/2 + t. Find the common denominator of i and -3\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134358\/24 + 12\/16 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + (sqrt(192) + 0)*-5 + sqrt(192) + sqrt(192)*-1*-3 - (-6*(sqrt(192) - (-1 + sqrt(192)) - sqrt(192)) + sqrt(192)*1*-1)**2.\nAnswer: -4836 + 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -13*x**2 + 11*x + 6. Let f(a) = 18*a**2 - 19*a - 7. Let b(d) = -2*f(d) - 3*n(d). Let s(q) = 5*q**2 + 8*q - 6. Determine -8*b(v) + 5*s(v).\nAnswer: v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 479255 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121008211?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -672 + 54.39\nAnswer: -617.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7913640?\nAnswer: 2, 3, 5, 7, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/20 in -274, -1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 6*k + 24. Let w be 20\/k*(-4)\/5. Determine r so that 5*r**w + 11 - 5 + 0 + 20*r + 9 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)\/l)**(-4)*l**(-4\/9)*l*l\/(l\/(l**(-4\/5)*l)*l)*l assuming l is positive.\nAnswer: l**(304\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100225 - 26191 = -16*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 115 + 508*n**3.\nAnswer: 508*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -222a6425?\nAnswer: 222a6424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 6. Let b(i) = -46793*i - 2. Determine u(b(t)).\nAnswer: -93586*t - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {i: 11, w: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 156167741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*q - 646555 = 196*q - 425*q. List the prime factors of q.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11*n**3 - 160*n**2 + 1102*n + 2887. Let z(v) = -20*v**3 + 320*v**2 - 2205*v - 5775. Let k(i) = -5*j(i) - 3*z(i). What is x in k(x) = 0?\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167 - -166. Which is greater: -18\/221 or j?\nAnswer: -18\/221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.3, -0.2148, -3, 4, 0.\nAnswer: -3, -0.2148, 0, 1\/4, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2 and 5\/(-250)*(-172)\/32*-4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 15, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(-6 + 6 + n + (3 + 2*n - 3)*(4 + 0 - 3) + 4 - 4 - n - 78*n + 118*n + 70*n)*(-1 - 2 - 1) to x*n + a and give x.\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**3\/3 - 15*j**2\/2 - 3*j + 2824. Suppose 3*a - 2*a = 15. Calculate y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.5249mg in nanograms?\nAnswer: 202524900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1271, 4668, 10327, 18242, 28407?\nAnswer: 40816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(9\/(-4)))\/(4\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -202 + 388. Let i = 202 - s. Let b be 32\/(-3 - (-19)\/6). What is the greatest common divisor of i and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44513 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxx. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6379 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 739868.89 times 6?\nAnswer: 4439213.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*b - 3*b - 3, 3*b + 2*n + 3 = 0. Let y be 616\/3 + b\/3. Is y\/9 - (-4)\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (330 + 2)\/2 + -4. Suppose g - 3*o = 154, 5*o - 146 = -2*g + b. Let q be (g\/33)\/((-2)\/(-3)). Calculate the greatest common factor of q and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45358*b**3*z**3 + 179*b**2 + 545*z**3 wrt b?\nAnswer: 272148*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564385143.\nAnswer: 809, 1933727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 235831*c**4 - 537802*c**2 wrt c?\nAnswer: 5659944*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5908\/3285 - -1\/657. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/6 + 615\/45?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -2337?\nAnswer: 2347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 2, d: 4, p: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7491007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 22098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t + 38*t - 22*t - 117 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-30)*(-161100)\/(-7160).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3135 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36598179?\nAnswer: 3, 12199393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*n**2 + 259*n**2 - 257779*n**3 - 40*n**2.\nAnswer: -257779*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29\/21 - 12\/7. Let h = -3.3 + -9.7. Let q = h - -13. Which is the smallest value? (a) q (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -3, -6, 93, 0 in ascending order.\nAnswer: -6, -3, 0, 3, 13, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - p**2 - 2*p**2)*((-6 + 4 + 4)*(3 - 2 - 2) + 0 + 4 - 2 - 9 + 10 - 3 + 1 - 3 + 1)*(-2 - 2 + 6).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*d**6 - 13321*d**5 + 280*d**2 - 383 wrt d?\nAnswer: 1560*d**3 - 799260*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Suppose 0*r - 11 = -y*r - 2*z, 2*z = 5*r - 19. Solve -4*f + r*f = -4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -754, -3814, -8910, -16042, -25210?\nAnswer: -36414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 0*z + 88. Sort -4, 4, z.\nAnswer: -4, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbowwbowboboowoo. What is prob of sequence wwb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x. Let y = -5 - -12. Suppose -y*v + 20 = -3*v. Suppose 6*c = v*c + 7. Let d(o) = 3*o + 1. Determine c*u(z) + 3*d(z).\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyyf when four letters picked without replacement from dfyyfdfdvgff?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3519 = -s + 5*f + 4547, 3*f = 21. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**6)**(-5)*(y**(-2\/9))**6 assuming y is positive.\nAnswer: y**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/308297 and 17\/1205161.\nAnswer: 13256771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 24 = -15*f. Suppose -4233 = -y + 2*n + 256, -4*y + 17945 = f*n. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 15, -3*m = 4*p + 32 - 173. Suppose -s - 31 = -p. Find the first derivative of -21*r**s - 4*r**2 - 7*r**2 + 14 wrt r.\nAnswer: -64*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4505206 (base 7) in base 6?\nAnswer: 15532054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 552, 1, -0.5, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 11677800.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/85 + (-34336)\/202130.\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2 = -12. Suppose 3*g = 8*g + o*v + 3650010, -3649990 = 5*g - 2*v. What is g rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 6 - 4*y**2 + 6*y + 4*y**2. Let c be x(6). Suppose -p + c*p = 25. Solve -2*l = -l + p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008 divided by 1?\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, l: 3}. What is prob of picking 2 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*w - 5*i, -8 = w + 2*i - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -144, -4, 0, 4, -1, -10 in decreasing order.\nAnswer: 4, 0, -1, -4, -10, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x - 412 - 92. Let i = -37 - x. Solve i = -7*r + 8*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2. Let x(h) = h**3 - h**2 + 2*h - 6. Let c(w) = -x(w) + 4*y(w). Suppose -n - 7 = -k, 0 = 4*k - 2*n + 5*n - 7. Is c(k) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(6\/(-10) - 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7125263 and 0.043 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145580, 292173, 438766, 585359?\nAnswer: 731952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*m + 58*m + 41*m.\nAnswer: 208*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7*s + 28. Let z(w) = -3*w**2 + 4*w - 10. Let u be z(s). Let h = -111 - u. What are the prime factors of h?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110021220 - -10200021?\nAnswer: -22121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 2836 and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3273844*w**2 + 1763204*w?\nAnswer: 6547688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1, -19\/2?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.4 (b) 0 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 - 4*i**4 - i**5 + (-3 - 2 + 2)*(0*i**5 - 3*i**5 + 2*i**5) + 4*i**4 + 2*i**5 - 4*i**4.\nAnswer: 4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 5) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o - 2. Suppose 0 = 4*f - 3*x - 59, 3*f + x + 4*x = 8. Let k(q) = -36*q - 11. Determine f*y(d) - 2*k(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 2259776098 - 2259776098.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51 - 40376?\nAnswer: -40447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29233790?\nAnswer: 2, 5, 2923379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -56 (b) 0 (c) -3 (d) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 less than or equal to -221575\/3241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1254981, -2509961, -3764941, -5019921, -6274901, -7529881?\nAnswer: -8784861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 5. Let s be n(3). Solve -s - 1 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeg when three letters picked without replacement from {g: 2, u: 2, f: 1, e: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -8*a - a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196484403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b + 4\/3*b**3 + 4\/3*b**4 - 28*b**2 - 19\/10*b**5 - 73\/30*b**6 - 2 - 11\/15*b**7. Suppose x(f) = 0. Calculate f.\nAnswer: -1, -2\/11, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 2*m. Let n(b) = b**2 - 2. Calculate the lowest common multiple of 16 and n(m).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64\/119 - 44553\/1904. Which is smaller: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6709 + 6050. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -82.\nAnswer: 16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 - 0.82. Let y = n + 0.6. Suppose -2*c - 12 = c. What is the second biggest value in y, c, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3820*c**3 - 1822*c**3 + 4254*c**3 + 493*c**3.\nAnswer: 6745*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113195?\nAnswer: 5, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) - (sqrt(1400)*1 + sqrt(1400)))\/sqrt(7) + (sqrt(28)\/sqrt(2)*-6)\/sqrt(7) + 4.\nAnswer: -16*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 183 (c) 2\/11 (d) -4 (e) 900\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 432769472?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 - 2*n**2 - 3*n + 1. Let z(l) be the first derivative of -1\/3*l**3 - 1\/2*l**2 - 3 + 1\/4*l**4 + l. Let q = -9 + 11. Determine q*z(d) - i(d).\nAnswer: -d**3 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-500)\/(-12) - (-1)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -11*o + 12*o - 2*y + 130, -5*o + 15*y = 175 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -6504\/7*q - 2\/7*q**2 - 5287752\/7 = 0.\nAnswer: -1626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18790756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 1, u: 2, z: 2, j: 1, l: 1}. What is prob of sequence klu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3129*j - 1848 = -3173*j for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 46, 75, 116, 169, 234?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v - 9. Let t be n(-3). What is the highest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -11. Suppose 2*p - b*g + 6 = -0, p - g = 0. Suppose 4*a - 947 = -5*d, a + 480 = p*d - 78. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**5\/180 - 101*k**4\/18 + 403*k**3\/18 + k**2 + 372*k - 4. Factor x(u).\nAnswer: (u - 403)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43266737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40360 and 30.\nAnswer: 121080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 1. Let g(n) = -2*n + 4. Suppose -36*w - 306 = -13086. Let x = -356 + w. Give x*g(i) - 3*f(i).\nAnswer: -i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/14*28\/8*(-12)\/165\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 3. Let w(c) = -c - 9. Let a be w(-4). What is the units digit of x(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293542 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*k**2 + 12*k + 5315*k**2 + 1821*k**2 - 12*k)*(2*k**2 + k**2 + k**2).\nAnswer: 28172*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*sqrt(3) - (sqrt(3) + sqrt(3) + sqrt(3) + (sqrt(3) + sqrt(3)*-3)**2 + 2).\nAnswer: -12 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7) + (-130)\/(-35) + 3. Calculate the highest common divisor of c and 4613.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/12 - (-3616)\/339.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1 (c) -3\/7 (d) -1\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z = 23*z + 10. Suppose 6*h = -2*h + z*h. Suppose r - 1053 - 138 = h. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frjf when four letters picked without replacement from {j: 2, f: 2, r: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 65*y - 1041. Let t be w(31). Let v(u) = -u**3 + 27*u**2 - 180*u - 17. Give v(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 475.07145 + -147397.07105. Let r = b + 146963. Let z = -41 + r. What is z rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290608205?\nAnswer: 5, 41, 271, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d - 6*d)*(-13 + 23 + 34).\nAnswer: -396*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/18)\/(-14*(-1)\/12).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 35 + 15 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -26.702192976.\nAnswer: 27.102192976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170486900 rounded to the nearest one million?\nAnswer: 1170000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*d + 3*t + 1, 0 = 2*t + 10. Let o be 0 - 7\/(7\/6). Let v = d - o. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/14)\/((-14)\/12*(-1760)\/194040).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000047901789 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 25*c**2 - 118*c + 93. Determine t(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593950 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19374 - 19375.9842. Let u = l - 0.0158. What is the third biggest value in u, 0.08, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/32 and 35\/11?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 48357 and -8067.016211.\nAnswer: 40289.983789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136 + 244 + 279)*(-5 - 2 + 3)*((-6 + 4 + 3)*(-3*n + 4*n - 2*n) - 2*n + n + 3*n + 0*n + 3*n - 2*n).\nAnswer: -3096*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 950000 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x**2 + 5*x + 3. Let g(u) = -3*u**2 - 3*u - 2. Let q(h) = 5*g(h) + 3*y(h). Let o be q(1). Suppose f + o*f = 147. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16046023, 16046019, 16046015, 16046011?\nAnswer: 16046007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 88.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2264*s*t**3 - 1268*t**3 wrt s?\nAnswer: -2264*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3.437 times 3\nAnswer: -10.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15a695 (base 12) in base 6?\nAnswer: -11540305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Suppose -u*p + 0*p = -y - 144, -39 = -p + y. Suppose t = 6*t - p. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59.64 + 71.6. Let j = -12 + g. Put j, -2\/11, 1\/6 in increasing order.\nAnswer: -2\/11, j, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b - 67. Is c(-23) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(-27) - (-2)\/9)*0. Let j be n + (4 - (-42)\/(-10)). Sort 14, 2, j in increasing order.\nAnswer: j, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 12:50 AM?\nAnswer: 281","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Suppose n*q + 0*q - 6 = 0. Suppose 20 = w - 8*x + 4*x, -41 = -4*w + q*x. Calculate the remainder when 22 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 11*g + 6. Let o(y) = -y**2 - 21*y + 11. Determine -5*k(q) + 3*o(q).\nAnswer: 2*q**2 - 8*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092706.65 rounded to the nearest 100?\nAnswer: 1092700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60877.32 decades to years.\nAnswer: 608773.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m**5 + 1018*m**4 + 1442*m**3 - 12626*m**2 - 4836*m + 8208 = 0.\nAnswer: -4, -1, 2\/3, 3, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/7)\/(2\/(-14)). Let f = -2 - p. What is g in 6 + 0 - 2 - f*g + g**2 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(1\/4)*t)\/t)*t)\/t)**(-11\/6)*t\/(t\/(t**(-1)*t))*t**(-7\/6) assuming t is positive.\nAnswer: t**(-61\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13300939.\nAnswer: 1871, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000467857 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -161, -303, -491, -731?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93606320*t**3*w**2 - 299698*t**2 + 4*w**2 - 4*w wrt t.\nAnswer: 561637920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9601994 + -5?\nAnswer: -9601999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 7*v**2 + 7*v - 35. Let m be n(7). Find the third derivative of k**2 - 2*k - m*k**2 + k - 83*k**5 + 30*k**5 wrt k.\nAnswer: -3180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3\/44, -4, 92, 5?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*y - 4. Suppose -5*p - 4*l = -111, p = -p + l + 34. Let z = p - y. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 - 32*j**3 + 24*j**2 + 32*j - 28.\nAnswer: 4*(j - 7)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i = 651 - 923 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10*z**2 - 13*z + 5. Let m(d) = -2*d**2 - 3*d + 1. What is -2*k(q) + 9*m(q)?\nAnswer: 2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16592 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18429380 divided by -20\nAnswer: -921469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + 1. Let p(l) = 10*l - 243. Let u be p(24). Which is the smallest value? (a) u (b) h (c) 2 (d) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/6, -2.475, -86?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9782 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(-1)*u)))**(2\/19)*u**(1\/11)*u**1*u)\/(u**(-7)\/u*(u\/u**(-8)*u)\/u)**41 assuming u is positive.\nAnswer: u**(-8110\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -967 divided by 1\nAnswer: -967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**3 + 9*g**2 + 5*g - 37. Is o(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5166\/3 + -3 + -13 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13347354 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 833993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4 minus -25?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 20 = 0, -2*n = -5*v - 15 - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 0 + -2 + (7 - (2 + -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 217*o**5\/20 - 33*o**4\/8 + 39*o**2. What is the second derivative of l(p) wrt p?\nAnswer: 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 10*d + 13. Let t be h(-9). Suppose -t = -c - 0*c. Let o be 2\/c + 7\/(-14). Solve 12 = -4*v - o*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 19*q**2 - 2*q - 34. Calculate the smallest common multiple of 11 and z(-19).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89 - (-194 - -107)) + -136?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -3. Let v = 1.99 - -0.01. Let m be 6 - (266\/48 + 1\/8). What is the nearest to v in n, m, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.172 + 16. Let p = -0.171733 - c. Round p to 5 decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Let s be t\/2*(-8 - -2). Let q = s - -23. Calculate the highest common divisor of q and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*v**3 + 51*v**3 - 25*v**3 + (1 - 1 - 2*v)*(0*v**2 + 2*v**2 - 4*v**2))*(-v + 0*v + 2*v).\nAnswer: 68*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 132. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1855331*m**4 + m**3 - 5*m**2 + 7415773*m - 2.\nAnswer: -22263972*m**2 + 6*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**5\/20 + l**4\/6 - 2*l**3\/3 - 2*l**2 + 13*l. Let h be p(-2). Solve h = n + n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3200 is divided by 177.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, 6, 39, 70, 87, 78?\n\"Answer: -2*i**3 + 17*i**2 - 14*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 4*v + 3. Suppose -3*g = -4*g + 3. Let m be u(g). Let p be ((-2)\/24)\/(21 - 26). Is p at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 14473537 - 14473537.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3726 by 46.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 56\/487?\nAnswer: 56\/487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -15*l**2 - 398*l - 573. Give y(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(((-1)\/10)\/((-28)\/(-35))). Let x be (2\/l*4)\/(3\/48). Solve 5*j - 3*a - 2 = 0, -2*a + 6*a + x = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 1546320*k - 119555277120.\nAnswer: -5*(k + 154632)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**6\/120 - o**3\/3 + o**2\/2 - 2. Let u(a) be the second derivative of p(a). Differentiate u(x) with respect to x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**13)\/(w*w*w\/w**(4\/5))*w**(-11\/3)\/w**6 assuming w is positive.\nAnswer: w**(-343\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1)\/(0 + 1). Let r = 1 - x. Let l(p) = p**2 + 5*p - 5. Let c be l(-6). Solve r - c = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84131 is divided by 2678.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -10*m**2 - m. Let b be w(5). Does 12 divide ((-2)\/(-3))\/((-5)\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*a**3 + 0 + 0 - 252*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -231187936 divided by -7?\nAnswer: 33026848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -282560*d**5 + 442*d**2 + 23 wrt d?\nAnswer: -16953600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -1184461?\nAnswer: 1184466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c2c + 72ca?\nAnswer: 649c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 441\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r - 3*m = 16, m = 3*r - 10. Let p = r - 3. Put 5, -3, p in decreasing order.\nAnswer: 5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 486*j**5 - 1048*j?\nAnswer: 9720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**50*(g\/((g\/((g*g\/(g\/(g*g**6))*g)\/g))\/g))\/g*g**(-6)*g assuming g is positive.\nAnswer: g**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.97833 millimeters to kilometers.\nAnswer: 0.00000397833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k**4 + 6*k**4 - k**4)*(2 - 3 + 3 + (0 + 2 - 4)*(2 - 4 + 0) - 2 + 3 + 1 - 2 + 4 + 0) in the form g*k**2 + q*k**3 + a + p*k + s*k**4 and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2\/8 - 10183*j\/4 + 103693489\/8 = 0.\nAnswer: 10183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 519187361 to the power of 1\/2, to the nearest integer?\nAnswer: 22786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 - 9*c**2 + 23*c**2 - 8*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4 + 23. Let v(a) be the first derivative of a**3\/3 - 8*a**2 - 2*a + 3. What is the tens digit of v(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/7212 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -186?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -1\/13 (c) -1883 (d) 2\/151\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 568973?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100746874.\nAnswer: 2, 419, 120223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3119245512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/15 and 39\/11.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 3313*v + 460073. What is h(153)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**2 + 167160*p - 47727360 = 0.\nAnswer: 288, 33144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20763434859 + -20763435211.67743742. Let q = f - -306.677437. Let g = q + 46. Round g to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2750 minus -0.2?\nAnswer: -2749.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y - 3. Suppose -1 = -5*p + 4*b - 3, -5*b - 2 = -4*p. Let d be 2 + (p\/4)\/(5\/(-20)). Let a(c) = 5*c + 2. What is d*u(n) + 5*a(n)?\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r + 43*r = -1701. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4750000 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + 162?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 8 + -20 - (3 - 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 217, -4, 2, 0, -189 in decreasing order.\nAnswer: 217, 3, 2, 0, -4, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7806019s in nanoseconds?\nAnswer: 780601900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 638373546 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4 - 30*c**3 + 39*c**2 + 72*c = 0.\nAnswer: -1, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - s + 3. Let b be d(0). Let y = 72 + -68. Solve 0 = b*a, -y*p - 2*a - 9 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u + 32 = 0. Let o(a) be the first derivative of -a**2 + 10*a - 6115. What is o(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 12:08 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2152\/(-24) - (-9)\/1. What is the second biggest value in -1, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5293083*b**3*z + 139*b**3 + 2*b**2*z**2 + 8*b**2 + 72*b + 1 wrt z.\nAnswer: -5293083*b**3 + 4*b**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 977587268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 26*f - 133 - 36*f - 35 - 24 + 63*f + 220.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 694, -4, -1 in descending order.\nAnswer: 694, 9, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 8*d**2 - d - 10. Let a be z(-8). Let q be a - (-3)\/1 - -3. Solve -7 = j - g, -q*g - 10 = -6*g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -14*o - 6. Let k = 6 + -14. What are the prime factors of p(k)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/113400 and -101\/6986700.\nAnswer: 125760600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11507910 != 11507909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47369 is divided by 3947.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -321 - 3*a - 6*a - 11*a + 322 in the form t*a + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17902 + 35810 - 2*i**3 - 17908.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + -58. Let a = -179 + 247. Suppose -5*y + a = r. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -20\/137 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151 * -0.398.\nAnswer: 60.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19830 + 19829.7. Let z = 0 - 0.2. Which is the closest to p? (a) 5 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4582.19 millimeters?\nAnswer: 4582190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/125469 and -43\/804?\nAnswer: 33625692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2)*q*q*q\/(q**(-2\/15)*q*q))\/(q\/(q*q**(-1\/19)*q*q)*q**(1\/7)))**(23\/2) assuming q is positive.\nAnswer: q**(315491\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 9*z**2 + 9*z. Let a(k) = -k**2 - 5*k + 2. Let d be a(0). Suppose 3*h - 32 = 2*c - 6, d*h - 44 = 4*c. Determine n(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2524*g**3 + 3060*g**2 + 15*g + 10. Let w(t) = 1260*t**3 - 1531*t**2 - 9*t - 6. Let x(f) = 3*a(f) + 5*w(f). Find the third derivative of x(n) wrt n.\nAnswer: -7632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.567 + 0.467. What is the closest to h in 92, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -12*m**2 + 6*m + 4. Let w(b) = b**2. Let f(a) = -s(a) - 6*w(a). Let o be (-4)\/14 + 111\/21. Let g(q) = -4*q**2 + 4*q + 3. Give o*f(h) + 7*g(h).\nAnswer: 2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86636564 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, w: 1, d: 1, b: 3, t: 1, r: 4}. Give prob of sequence zbt.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -375622 (base 14) to base 6.\nAnswer: -104355502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + y = 20, 12*t - 2 = -8*t + 26*t - 5*t + y - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = f - 6 - 13, -4*w = -5*f - 21. Suppose 1 = -p + h, -w*p = -7*p - 2*h + 12. Let q be 6*(-3*1)\/(-3). Solve -q = -p*s + 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135*w + 145*w - 107*w)*(3 + 11 + 2).\nAnswer: 2768*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z**2. Let j(p) = 4. Let t(q) = 2*q - 64. Let h(k) = 80*j(k) + 5*t(k). Calculate r(h(y)).\nAnswer: 900*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -62, -202, -470, -908, -1558?\nAnswer: -2462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**3 + 20*u**3 + 13*u**3.\nAnswer: 25*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, 119, 2\/3, -4, 1094?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52377 and 47242?\nAnswer: 2409342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -185, -4, 1, 4, 34, 29, 2 in decreasing order.\nAnswer: 34, 29, 4, 2, 1, -4, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.31044 - 6.28. Let v = 0.030442327 - t. What is v rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -193, 6, 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -547 and 393.\nAnswer: -214971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 89*b + 134. Let l be g(-43). Solve 5*o - l*k - 33 = -3, 4*o - 18 = 2*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 6:36 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -7*x**2 + 5067708*x - 1447916 = 0?\nAnswer: 2\/7, 723958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 4*n**2 - 2*n**2. Let k(j) be the first derivative of j**5\/30 - j**2\/2 + 2. Let p(d) be the second derivative of k(d). Calculate u(p(l)).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 + 113 = -4*u - 4*s, 0 = u + 2*s + 60. Let v = u - -403\/7. Suppose 348*t + 851 + 375 = -166. Sort t, 0, v, 13.\nAnswer: t, v, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 245 = -205. Suppose 9427 = t*c - 6805. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1998 - 2191.4. Let q = -193 - y. Sort 1\/3, q, 2, 1 in increasing order.\nAnswer: 1\/3, q, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 16) to base 7\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3507555.\nAnswer: 3, 5, 233837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4826 + 77165\/16. Let g = 8246 + -1863609\/226. Calculate the common denominator of g and f.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muuuumumuuuummuuuum. What is prob of picking 2 m and 2 u?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -52.72. Let n = i + -0.32. Round n to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3371 = -447*n + 78*n - 1795 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Suppose -2*k - 10 = d*n, 3*k + 0*n + 14 = -2*n. Let x = k + 4. Solve 0 = -c - 3*f - 10 - x, 2*c - 4*f = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37424527697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 13*i = -1064. Suppose -2*d - 3*t - i = -898, d - 5*t = 342. Suppose 9*x - d = -5*x. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/219 >= -2.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/90 - d**4\/36 + 2*d**3\/9 - 5*d**2. What is m in v(m) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2 - 2*q + 2. Let w be j(-4). Suppose -w = -3*t + t. Let l = t + -1. Put -4, l, 3 in decreasing order.\nAnswer: l, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*k*t**3 + 5*h*k + 2*h*t + 2*k*t + 456*t**3 wrt t?\nAnswer: 6*h*k*t + 2736*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.1, 997, 31?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o. Let p(y) = -4*y**2 + 16*y. What is p(t(f))?\nAnswer: -324*f**2 + 144*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 21. Suppose -2*l = -i + 64 - x, l = -i + 40. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - p + 281 = 0, 5*y = -p - 239 - 216. Let t = 129 + y. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 21288247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 7*n - 7 + n**2 + 0*n. Let y be p(5). What is the greatest common factor of 15 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2957 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 - 4*k + 5. Let l(d) = -d**2 + 2*d - 2. Let g(u) = -5*l(u) - 2*s(u). Let o be g(-3). Let r = -1 - o. Solve -r*v = 2 - 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 + 1.2. Let o = t - -0.1. Let d be 0\/1 + -2 - (-28)\/18. Which is the closest to 0? (a) o (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 = -3*x + 1, 3*a + 6 = 0. Is 0.2 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1334?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 16133159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(1\/2))**(-9\/5)*(x\/x**(1\/2))**26 assuming x is positive.\nAnswer: x**(103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 + 3*i**2 - i. Let w(n) = n**3 - n**2. Give r(d) - 2*w(d).\nAnswer: d**3 + 5*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*g - d - 384, 12 = 3*d. Calculate the highest common divisor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 16 = -3*a. Let p(m) be the first derivative of m**4\/4 + 3*m**3 + m**2\/2 - 7*m + 110. List the prime factors of p(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 10*j**2 - 1. Let a be s(1). Suppose -5*t + 6 = -a. Suppose 25 = 2*r - t*f + 6*f, -4*f - 97 = -5*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1935814 and 5807442?\nAnswer: 5807442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 8*r + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.526 to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**3 + 5*x**3 - 5*x**3)*(x + 7*x - 2*x) + 4*x**4 + 24549*x**2 - 4 - x**4 - 24548*x**2 in the form b*x + s*x**4 + h + q*x**3 + j*x**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2129816 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 276921473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 573, 1153, 1759, 2403, 3097, 3853, 4683, 5599?\nAnswer: 6613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22201210 (base 3) to base 8.\nAnswer: 14336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3 + 3)*(-2*w**2 + 3*w**2 - 3*w**2)*(1 - 1 - 1) + (-6*w**2 - 4*w**2 + w**2)*(3*w + 2*w - 4*w).\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2865116594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -4. What is the nearest to 1 in 1\/5, t, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 4*r + 4. Let h be q(-4). Suppose 4*o + o = h*z - 132, -3*o + 72 = 3*z. 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: Convert 0.738745l to millilitres.\nAnswer: 738.745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4454.802395 + -4455. Let d = -0.367522 - z. Let k = 0.17 + d. Round k to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/18 and 10\/8 + 183\/(-96).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2986 - -3006. Solve o - b = 0, -o - b + m = -6*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-2)\/(-6))\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((33\/(-4))\/(78\/(-52))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1164708?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*g*l**3*m**3 - 2*g*l**3*m + 2*g*l*m**3 - 95*g*l*m**2 + 4*g*m**2 - 3*l**3*m**3 wrt m.\nAnswer: -318*g*l**3 + 12*g*l - 18*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (10 - 11 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 5*l - 3*l. Suppose 2*p - 3*y + 11 = l, 5*y = -2*p + 4*p + 21. Solve 3*v - p - 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 96, 83, 70, 57, 44, 31?\n\"Answer: -13*i + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 656 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 8360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 4 + 4*q + 0)*(-3 + 1 + 0 + (2 + 2 - 3)*(0 + 1 - 4)).\nAnswer: -5*q + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -523.96499 and 1431.\nAnswer: 907.03501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*p + 10 = p, 0 = -3*f - 3*p - 6. Let r be (-15)\/(-4) - f\/4. Let i = r - 1. What is the third biggest value in 5, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3420, -14212, -32368, -57882, -90748, -130960, -178512?\n\"Answer: p**3 - 3688*p**2 + 265*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s + 28*s = -4*o - 528, -4*s + 3*o + 711 = 0. What is the greatest common factor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -8, 15, 56, 121, 216?\n\"Answer: t**3 + 4*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - w. Suppose -14*r - 12 = -17*r, -5*r + 18 = -2*a. Let x(s) = -s**2 + s - 2. Determine a*x(f) + 2*y(f).\nAnswer: f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 25. Let d = a + -26. Do -22 and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2243 = -3*d + 4*b, -3*b + 8*b = 3*d - 2242. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 56 + 28. What are the prime factors of (-7346)\/(-6) + 6\/9 - s?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + 1.2. Let s = 1.1819272 + 0.2180774. Let o = b - s. What is o rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1683186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = 3*x - 81. Let c be (17\/x)\/(18\/16). What is the closest to c in 0.3, -0.05, 1\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16211)\/(-774) - (-1)\/18. Solve z*y - 5 = 22*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3 + 3*sqrt(891))**2 + sqrt(891))*1.\nAnswer: -153*sqrt(11) + 8028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 15*c**2 + 14*c + 29. Let r be n(12). Let v be -3*r\/225 + 1*-3. Sort v, -2\/7, 2.\nAnswer: -2\/7, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519892?\nAnswer: 2, 11, 34543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(72) - sqrt(72) - (5*(sqrt(72) - (2 + sqrt(72))) - sqrt(72)) - ((sqrt(72) + 0)*-5*-2 + -2))**2.\nAnswer: -1872*sqrt(2) + 12312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11279050 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/(-352))\/(20\/8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4389 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 7 - (-5)\/1. Let f(l) = -57*l**2 + 28*l. Let x(i) = 1. Let v(r) = u*x(r) + f(r). What is the second derivative of v(g) wrt g?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 117. Let r = -40 - k. What is the common denominator of (-117)\/r + -2*1 and -67\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-16))\/(-15*26\/3120). Which is smaller: 4\/7071 or v?\nAnswer: 4\/7071","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2\/15 (c) -1\/119 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let u(k) = -6*k + 2. Let z(i) = -26*i + 9. Let a(b) = -b. Let r(p) = a(p) - z(p). Let j(w) = 6*r(w) + 26*u(w). Give q(j(f)).\nAnswer: 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1719 + 3349. What is p rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2560, -2486, -2314, -1996, -1484, -730?\n\"Answer: 8*x**3 + x**2 + 15*x - 2584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/(-2412) - 733\/13194.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24076.\nAnswer: 2, 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6256013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -762 - -6862\/9. What is the fourth biggest value in a, -3, 1, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 divided by 5169025.\nAnswer: 118\/5169025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -137886, -551543, -1240980, -2206203, -3447218, -4964031, -6756648?\n\"Answer: -g**3 - 137884*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15 (b) 1\/15 (c) -233 (d) 20 (e) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/((-4)\/(-744)). Let v = 284 + h. Solve -v*p = 5*o + 10, 0 = -7*p + 3*p - 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0\/(-3))\/(-3))\/(-2). Suppose j*p = -p + 2. Let m be (-1 + p)\/(9\/153). Solve -3*v = -4*v - 3*h - m, 0 = 4*v - 3*h - 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-220)*(-53 + 8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27500?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 423192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443367077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53640 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-243182.\nAnswer: -24318.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4\/7, -40, 717 in increasing order.\nAnswer: -40, -0.2, 4\/7, 717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**4\/12 + y**3 - 3*y**2 - y + 4. Let q(p) be the first derivative of x(p). Give q(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6*y - v = -169, 212 = -5*y + 2*v. What is the units digit of ((-64)\/6)\/(28\/y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 30*g + 79. Calculate k(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f**2 + 2*f + 4. Let r(o) = 3*o. Let h be r(-1). Is d(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2973863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/v**(-2\/9))\/v))\/(v**5\/v)*(v**(-2)*v)**46 assuming v is positive.\nAnswer: v**(-443\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2879 + -13.2389. Let q = -7.788 - t. Let g = 3.1 - q. What is g rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, 3, -3\/34, 0.1, 0.21, -1?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15272*y + 15275*y = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13416.7531 * 0.2.\nAnswer: -2683.35062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 30*c = -72. Calculate the common denominator of 0\/(-2) + (-26)\/(-44) and c\/(-18) + 313\/36.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2702*i**3 - 2*i**2 - 30*i - 29. What are the prime factors of c(-1)?\nAnswer: 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*v - 5 = 0, 0 = 4*t - 5*v - 77 + 29. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20088)\/207)\/12 + (-2)\/(-23). Put -5, -14, m in decreasing order.\nAnswer: -5, m, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 9. Suppose -7*b + z*b = -74. Let r = b + -50. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10*220\/4*1. Suppose 5*y - 19 = 2*g - 4*g, 5*g = -4*y + p. Suppose g*z - 14 = z. Calculate the highest common divisor of z and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-66)\/(-121) + (-2088)\/(-44) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 3*v**3 + 7*v**3 + 26*v**2 - 70*v**2 - v**4 - v**3 + 35*v**2 - 49*v = 0 for v.\nAnswer: -1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d**3 - d)*(-1 + 0 - 2) - 14*d**3 - 8*d**3 - 24*d**3.\nAnswer: -43*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9149? (a) -1\/4 (b) 5 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 38*b**2 - 451*b - 7858. What is n(-18)?\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158973 = 22*d - 6873113 - 14077200. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.095518t in nanograms?\nAnswer: 8095518000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61286 + 17259 = 23*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 91 and -0.2.\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31884596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2598187 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 22*z**2 - 23*z - 40. Let j be l(-21). Suppose 15 = g + 10. Solve -4*a + 18 = -g*d, j*a - 5*d - 11 = 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974058017?\nAnswer: 71, 421, 32587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4830722?\nAnswer: 2, 13, 185797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*((-9)\/(-21) - (-29)\/(-84)). What is the biggest value in d, -0.4, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-133*f**2 + 35*f**2 + 73*f**2)*(0 + f**2 + 0) in the form z*f**3 + s + i*f**2 + d*f**4 + o*f and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**3 + 285084*n**2 = 0.\nAnswer: -71271, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - (-5 + 7)) + -43 + 30.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 3468*z + 1165*z + 3.\nAnswer: 4633*z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 0*k + 0*k**4 + 18 - 11\/5*k**5 + 0*k**3 + 1\/2*k**2. Find the second derivative of c(i) wrt i.\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*w - 3*w - 162 + 362 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 + -0.03. Let k = v - -0.1. What is the third smallest value in k, 1\/8, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + q - 6168, 6184 = 113*p - 117*p + 5*q. Which is smaller: -1540 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -40759, -40317, -39875, -39433, -38991?\n\"Answer: 442*a - 41201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.004789*-0.02\nAnswer: 0.00009578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 12:39 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/124 in -0.1, 8, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -1. Suppose 5*b = -5*x - 10, 0*x - 10 = 5*b + 4*x. Let h = 0 - b. Solve -l*r - 18 = 4*a, r - h*a - 3*a = 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -508 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34558172 rounded to 3 dps?\nAnswer: -0.346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2 (c) -0.099 (d) 7\/4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*u + f, -3*f = 4*u - 7*f - 36. Suppose -u*m - 245 = -8*m - v, -155 = -3*m + 5*v. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {c: 2, n: 3, s: 5, v: 2, m: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 4 = 2*q. Suppose 4*y + y - q = d, 4 = -4*d. Suppose 0 = -y*n - 0*n + 2*k + 119, 4*n - 157 = k. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c - 612 + 1213 = 651. Put c, -1, 3, -5, -13 in decreasing order.\nAnswer: 3, -1, c, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-4\/3)\/q)**8)**28)**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121 + 125. Let t be (-1)\/(((-2)\/(-6))\/1). Put m, -4, t in decreasing order.\nAnswer: m, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1 + 18*q - 59*q - 7*q. Suppose 3*k - k + 11 = -3*t, -5*t = 3*k + 18. What is the tens digit of z(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**3 + 2*d**2 + 6*d. Let m(f) = -11*f - 3*f**2 + 10*f**3 - f**2 + 0*f**3. Suppose 29*w - 2*g = 31*w + 12, 0 = 2*w - g + 27. Give w*k(a) - 6*m(a).\nAnswer: -5*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 923*m**4 - 102 wrt m?\nAnswer: 3692*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-8)\/(-2) + -1. Sort 4, y, 1 in decreasing order.\nAnswer: 4, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*o + t, -3*o = -4*t. Let j(n) be the second derivative of 1\/20*n**5 + 2*n + 0 + o*n**4 + 0*n**2 + 0*n**3. Let j(q) = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.73452 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6 + 4 = n, -z + 10 = 3*n. Suppose f = -k - 0*k + n, 0 = 4*k + 5*f - 13. Suppose 0*p - k = -2*p + 3*v, 4*p - 13 = 5*v. Solve p = -3*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*g - 3672 = 19*g for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -108 in decreasing order.\nAnswer: 0, -3, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-180)\/7 + 10\/(-35). Let k = -26 - x. Suppose k*g - 5*g = 6*g. Solve g = r + 5*d + 3 - 25, 0 = -5*r - 3*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 7083 = -2*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56 and 7.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 7*d**4 - 100*d**3 - 21*d**2 + 1834*d - 520 = 0.\nAnswer: -4, 2\/7, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**4 - m**3 - 1546*m**2 - 13253*m wrt m?\nAnswer: -36*m**2 - 6*m - 3092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 533922 and 530?\nAnswer: 2669610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. Suppose 0 = n*s - 2*f - 94, -3*s + 5*s = 2*f + 52. What is the greatest common factor of 147 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2682\/(-4)*((-130)\/(-39))\/(-5). Let s be (-27)\/18*w\/(-18)*-1. Are s and -38 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 39.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.32. Let w = f - -1.32. Which is bigger: w or -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwvvsqvvwsvsqvowqsq. What is prob of sequence wvq?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4 + 1 + sqrt(200) + sqrt(200) + sqrt(200) - (0 + (sqrt(200) - -3*sqrt(200)))))**2.\nAnswer: -80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 6*d - 6. Let j = 4 - 8. Let f be g(j). Solve 4*q - f*q - 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12779488 and 6815.\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-5)*27\/135.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/3 + 1182746*z\/3 + 394249 = 0.\nAnswer: -1, 1182747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*v + 3, -4*m - 3*v + 0*v - 35 = 0. Let p = m + 14. Let b(y) = 2*y**2 + 6*y + 6. Let f(n) = 4*n**2 + 13*n + 13. Calculate p*f(k) - 13*b(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (7 + 1 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*j = -638*j - 5175 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 1, c: 2, n: 3}. What is prob of sequence nz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*y + 71*y + 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54 + -101433?\nAnswer: -101531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3. Suppose -l + 0 + p = 0. Suppose -2*z - 4 = -2*o, 3*o + 0*z = -2*z + 16. Solve -o*b - 6*g + g = 7, b = -g - l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**4 + 2*b**3 - 976*b**2 - 6552*b + 28224 = 0.\nAnswer: -14, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5\/7 - 810*a**4\/7 + 11172*a**3 + 788692*a**2\/7 - 1808766*a\/7 + 942678\/7 = 0.\nAnswer: -11, 1, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -533520932 take away 9333?\nAnswer: -533530265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuu when three letters picked without replacement from uuutuututuuttu?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -8*i + 3, 2*i + 14 = 2*x. Let a(n) = -2*n - x*n - 3*n. Let b(f) = f**2. Calculate b(a(y)).\nAnswer: 169*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/16 and -42\/29?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -56. Let d be 6\/(-18)*(x - -1). Suppose z = -d*z. Solve 8 = -m - i, z*i - i = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, 17, 57, 113?\n\"Answer: 8*g**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 984*n**2 + 20290*n + 64420. Calculate x(-963).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125999, -252017, -378055, -504113, -630191, -756289?\nAnswer: -882407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -16, 2.1, 8?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 10, 5, -4, 1.\nAnswer: -6, -4, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.074371, -0.1, -4, 2\/9, 1.\nAnswer: -5, -4, -0.1, 0.074371, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.34 - 1. Let x = 0.06 + t. Let r = 22 - 89\/4. What is the second biggest value in 2, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25ac (base 14) to base 15.\nAnswer: 1e65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.4, 24\/71, -13390?\nAnswer: 24\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 + 52*y + 68. Let p be b(-16). Solve 1 = -p*x + 3*j, -j - 17 = -2*x + 4*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*c - 29*c = -381. Let b(l) = -l - 1. Let t(i) = 5*i**2 - 40*i - 40. What is c*t(d) + 120*b(d)?\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -186365*k - 2236378. What is f(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 5*h**2 + 6*h - 4. Let g be c(2). Let f(k) be the second derivative of -1\/100*k**5 + 0*k**2 + 1\/30*k**3 + 0 + 0*k**g + k. Factor f(x).\nAnswer: -x*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 + 2*o**2\/7 + 648*o\/7 - 648\/7.\nAnswer: -2*(o - 18)*(o - 1)*(o + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 513\/12 - (-2)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 10 = 4751*x - 4753*x, 2*z + 23*x + 11 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**4\/32 - 130*m**3 + 202800*m**2 - 144*m - 2. Let f(k) = 0. Calculate k.\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 94*s**2 - 2*s + 179. Determine g(94).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26049898 - 4?\nAnswer: 26049894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 1584*x - 1587.\nAnswer: 3*(x - 1)*(x + 529)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 642526?\nAnswer: -13\/321263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 171080 rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.999537 rounded to two decimal places?\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3699 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 16202.08971 to the nearest integer.\nAnswer: 16202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 362885 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2)\/(-5) - 8\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251 (base 7) to base 11.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -10*g**5 - 1606*g**4 + 25694*g**3 + 85550*g**2 - 157228*g + 47600 = 0.\nAnswer: -175, -4, 2\/5, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/((sqrt(150) + sqrt(6))*-2) - sqrt(95)\/((2*sqrt(405) - sqrt(405)) + sqrt(405)).\nAnswer: -5*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -595659502 by -3.\nAnswer: 595659502\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -55, 22, 233, 638?\nAnswer: 1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 + 458880*w**2 - 13160219508*w - 26322274568 = 0. Calculate w.\nAnswer: -2, 57361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 380.445 and 2.\nAnswer: 760.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -159, -237, -315, -393?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1617525 and 57421.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 + 8*t - 15*t + 4 + 8*t + (2*t**3 - 3*t**3 - 7*t**3)*(-t + t + 2*t**2).\nAnswer: -14*t**5 + t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 84.9825l?\nAnswer: 84982.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 0*s - 1 + 0*s**2 + 1\/3*s**3 + 3\/5*s**5 + 0*s**4. Find the third derivative of k(y) wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76097.2 rounded to the nearest one thousand?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 2900?\nAnswer: 28aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 920811\/458 - 1689146366\/839285. Let d be 1 + 4\/(5864\/(-1462)). Let t = a - d. What is the common denominator of t and 47\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 11991.\nAnswer: -4, 2, 11991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 10*c - 8. Let r be s(-9). Suppose -4*f - o - 1 = -5, f - 16 = -4*o. Suppose -6 = -f*g - 2*g. What is the greatest common factor of g and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 0*y - 1 - 2*y**2 - 2 + 2 - y**3 + 2*y. Let m be 0\/(-1) + -3 - 0. What is i(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5279.\nAnswer: 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by (-8 + 4 - -15)*2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 14*y**2 - 25*y + 1. Give n(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4835721 and 5115?\nAnswer: 24178605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 13*u**2 - 42*u - 16. Let m be y(-8). Suppose 9*z = 18 - m. Let a(j) = j**2 + j - 3. Let n be a(-3). Solve -n = b + z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066868 a multiple of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 m, and 1 r when four letters picked without replacement from tmkkrkmhrkkkkmmrmkt?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -354 - -2406. Round p to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 42 - 3\/(-3). Suppose 0 = c + 5*t - 14, -3*c + 0*t = -t - m. Calculate the remainder when 39 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 5*u. Solve -4*w - 16 = -u*w - 5*t, -8 = 2*w + 3*t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2)*5*2\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 3:34 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2. Let h(c) = -c + 1. Let o(t) = 201 - 5*t**2 - 206 + 0*t + 5*t. Let u be (-2)\/(-11) - (-26)\/(-22). Let g(i) = u*o(i) - 5*h(i). What is g(q(d))?\nAnswer: 45*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 44 = 256. Let y = -30 - d. Suppose m - 86 = -3*b - 3*m, -m = 1. Calculate the highest common divisor of b and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -608673070*k**4 + 460925919 wrt k?\nAnswer: -2434692280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*l - 864 = 196*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1.6, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28256315*v**5 + v**2 + v + 12869 wrt v.\nAnswer: 1695378900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 48, -1 in decreasing order.\nAnswer: 48, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(65\/(-75) + 4\/(-12)). Find o, given that 27\/5*o - t*o**2 - 6\/5 = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 465235\/2 - 15\/(-10). Let l be u\/24*5\/(75\/18). Let g be (-3 - l\/(-9)) + (-2)\/(-3). Round g to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/13)*n\/n**(1\/18)*(n*n**(-3\/10))**(16\/7) assuming n is positive.\nAnswer: n**(2707\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = 8. Suppose 0 = 65*r - 74*r. Suppose r = 3*l - w*l. Let i(u) = u + 1. What is i(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -800*r + 481*r + 4785 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + 67 + 35 - -23.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 179?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196\/85 - -46\/17. Let r(w) be the first derivative of 0*w**2 + 6\/25*w**5 - n*w**3 - 3\/20*w**4 + 0*w + 1\/10*w**6 + 4. Solve r(s) = 0 for s.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296199?\nAnswer: 17, 19, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 1. Let g(u) be the first derivative of 3 - 5 - 5*u + 3 - 4*u**2. Let q(o) = -o**2 + 7*o + 2. Let f be q(7). What is f*g(v) + 9*y(v)?\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2. Suppose -2*v + 3*f + 11 = -0*f, 3*f = -v - 8. Let t be v\/(-5) + (-41)\/(-5). Let n(c) = -2 + 6*c**2 + t - 6. Give n(p(h)).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**4 + 0*q**3 + 4*q**4 - 6*q**3 + 2*q + 3*q**2 to o*q**3 + p*q + w*q**4 + l*q**2 + v and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 176723 divided by -80\nAnswer: -176723\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 77*t - 1. Let l be w(-1). Let z = 26 - 157. Let i = l - z. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3339, -0.3, 4 in descending order.\nAnswer: 3339, 4, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49866030*g**2 + 1654*g - 19670 wrt g?\nAnswer: -99732060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 9 - 10 + 20.\nAnswer: -c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 26*u**2 + 2*u - 1. Let j(b) = -25*b**2 - 2*b. Give -3*j(y) - 2*s(y).\nAnswer: 23*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 507*i - 1534 + 1367*i + 270*i - 23*i with respect to i.\nAnswer: 2121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*s + 12 = -54*s. Let j be (s\/(-3))\/(((-24)\/18)\/(-4)). Suppose -5*m = -j*q + 6*q - 4612, -3*q - 1841 = -2*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 411, 759, 1081, 1383, 1671?\nAnswer: 1951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.978 + -0.022. Let l be 7\/(-3) - 2 - -3. Put -4, l, s in increasing order.\nAnswer: -4, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011101111110 - -1010000110?\nAnswer: 100101000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = z + 295. Let k(w) = -348*w**2 - 39*w - 1. Let n be k(z). Round n to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 431.8972 micrometers?\nAnswer: 0.0004318972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -116*n**2 + 1288*n + 363. Calculate l(13).\nAnswer: -2497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5417494 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 6*i**5 + 4*i**5 + (4*i**2 + i**2 - 3*i**2)*(i**3 - i**3 + 2*i**3) + (3 - 3 - 2*i**2)*(-297 + 297 - 18*i**3) + 5*i**5 - 3*i**5 + 0*i**5.\nAnswer: 39*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytjrjsrjyjjyu. What is prob of sequence tu?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/171630 and -47\/6.\nAnswer: 171630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1 + 14.8.\nAnswer: 12.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 48*w**2 + 23*w + 423. List the prime factors of z(-11).\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/10 and 109\/29490.\nAnswer: 29490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 11, -18, -1\/4, -1\/3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -8132.2.\nAnswer: -2439.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-5) + 1 - 612\/765.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven fifths of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228049549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**6 - 1434*t**4 + 858*t**2 wrt t?\nAnswer: 240*t**3 - 34416*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005381993 rounded to six dps?\nAnswer: 0.000538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v - 6. Let a(f) = -f + 1. Let c(n) = 5*n - 3. Let j(m) = 4*a(m) + c(m). What is the smallest common multiple of j(3) and x(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*s + 5 - 42*s**2 + 48*s**2 + 1.\nAnswer: 6*s**2 + 72*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6894 + 0.194. Round j to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 2*j - 2. Let z(w) = -3*w**2 - 2*w + 1. Let t(y) = 2*g(y) + 3*z(y). Suppose -4 = 5*s + 1. What is t(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-10 + 13) - -18) + -25.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - w = 1287, -3*v - 238*w + 242*w + 1305 = 0. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1769931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 1. Let z be 0 - (2 + -2*2). Let m(a) = a**2 - 1. Let y(c) = z*m(c) - d(c). Let i be y(2). Solve 11 = -5*u + i*k, 3*k + 0*k + 9 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 928 and 35182046?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -365 (base 11) to base 16\nAnswer: -1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -631 (b) 1471 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4461.111 millilitres?\nAnswer: 4.461111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*x - 135 + 55 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1398714425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 2 - 492*k**2 + 492*k**2 - 5*k**3 as r*k + i + o*k**3 + n*k**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0371503073 to five decimal places.\nAnswer: -0.03715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(8\/4)*95\/(-38).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 41. Which is greater: j or 2\/29?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 52 = -3*k. Suppose 2*i + 4 = -t, -2*i - k = -0*t - 2*t. Let y be (t\/6)\/((-1)\/(-6)). Solve -3*m - 9 = -2*f + 9, 5*m + 8 = -y*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 225, 654, 1367, 2364?\n\"Answer: 142*l**2 + 3*l + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, i: 2, r: 2, h: 1, j: 1}. What is prob of sequence hrr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10360 is divided by 305?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 757*n**2. Let t(y) = y. Calculate x(t(m)).\nAnswer: 757*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/141)\/(-8))\/(4\/((-16)\/(-4)))?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12965414*g. Let x(j) = -j**2. Calculate i(x(r)).\nAnswer: 12965414*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528 divided by -4.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*g + 3*g + 22, -2 = -2*g. Suppose 0 = 4*q - 6*q - 32. Let n = -11 - q. Solve k*p - n - 3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/56 and -61\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/2 (b) 0 (c) -1\/6 (d) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let v = -3 + 6. Let j = v - h. What is the nearest to -1 in -3, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*z + 565*z = 70 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -19 (b) -6 (c) 3 (d) 0.09 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k*k**10)\/k))\/k)\/k)\/k*k**(-2))**41\/((k**(1\/4))**(-42))**(-2\/29) assuming k is positive.\nAnswer: k**(-16667\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*k + j, 2*k - k + 5*j + 18 = 0. Suppose 0 = k*n + 5*w - 18319980, -9160020 = -n + 4*w + w. What is n rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3\/2 - 513*l**2\/2 - 118215*l\/2 + 20432325\/2 = 0 for l.\nAnswer: -199, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41250 divided by 165.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 36 = 25*d - 29*d, -p + 63*d + 23 = -32 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 2\/1 - 0. Suppose b*r = 3*r. Suppose r = -v + 296 + 35. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 163*s**2 - s**3 - 1\/24*s**4 + 0 + 1\/120*s**6 - 7\/60*s**5 + 0*s. Determine y(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 183*t + 369 = 0, -2*s - 3*t + 3 - 6 = -1 + 10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((56\/(-12))\/7). Solve 5 = -c*m + 8*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*1*(0 - 1). Suppose b*s = 3*s - 6. What is the remainder when 5 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 - 0 - 4) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -25. Let w(x) be the first derivative of 5 - 238*x + x**3 + 238*x + p. Let i(v) = -2*v**2. Determine i(w(u)).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 + -129.5. What is the closest to -0.1 in -4, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -73.8 and 102?\nAnswer: -7527.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - (-8 - -5) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 13 + 1)*(-515*f - 756*f + 324*f).\nAnswer: 12311*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3119\/91 - 492\/13. What is the common denominator of 29\/10 and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 820 (b) 1 (c) 1\/4 (d) -2\/11 (e) 38 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-1*5 - -1*(sqrt(77)*-1 + sqrt(77)))*2)\/(-5*(sqrt(35)\/sqrt(125) + (sqrt(1008) - sqrt(1008)*1 - sqrt(7)))).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-11 + 15)) + 2 + -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -297, -321, -347, -375, -405, -437?\n\"Answer: -i**2 - 21*i - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 + 6*h + 9. List the prime factors of w(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.1 or -561?\nAnswer: -561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 533 and 1807?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 85*a - 1. Suppose -k - 3*k = 4*p - 12, -k = -2*p. Let q be r(p). Suppose q = -0*y + 4*y. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 6. What are the prime factors of l + 4 - (-4 + 3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*y**2)*(1 + 1 - 4) + (0 + 2*y + 0)*(5*y - 3*y + 0*y) + 7*y**2 + 14*y - 14*y.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 1. Let g = q + -1. Let c = g - -3. Is c > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34970128, 69940274, 104910420, 139880566?\n\"Answer: 34970146*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 14)\/(-3) + 8\/3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 at least as big as -931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (4 - 4) - -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -67206, -134609, -202014, -269421?\n\"Answer: -l**2 - 67400*l + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 4 (c) -1\/4 (d) 49 (e) -2\/5 (f) -764\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**2 - 17*k + 10. What is j(9)?\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2938583130 + 0.0204.\nAnswer: -2938583129.9796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 925 divide 22442350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 76 - 12 - 51 + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 45547 divided by -2\nAnswer: -45547\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3376 and 206147?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -5) + (-1 - -78). Let l = f + -35. What is the greatest common factor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4.1. Let v = 4 - g. Suppose 2*a - a = 4. Which is greater: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 9*t - 7. Let q be s(9). Let b(k) = 88*k**2 + 14*k - 14. Let v be b(q). Suppose 5*x + 245 = v. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 102341, 409381, 921115, 1637543, 2558665, 3684481?\n\"Answer: 102347*k**2 - k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-60)\/105 - (-62046)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 929305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -1. Let h = -9 - -11. Suppose 3*y + 6*r = h*r + 17, 0 = 5*y - 4*r + 25. Put d, 2, y in decreasing order.\nAnswer: d, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**3\/7 + 2181696*d**2\/7 + 222556401*d\/7 + 5675387202\/7 = 0?\nAnswer: -51, 727334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + p**2)*(4*p - 5*p - p) + (-p**2 + 2 - 2)*(23*p - 21*p - 30*p) to the form v*p**2 + f*p**3 + c + l*p and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a + 8*a + 8*a)*(3*a - 2*a - 55 + 57).\nAnswer: 5*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 13*c**6\/30 - 3*c**2 + 10*c - 6. Let w(k) be the first derivative of h(k). What is the first derivative of w(t) wrt t?\nAnswer: 52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 plus 12666?\nAnswer: 12946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6788, 6710, 6632?\n\"Answer: -78*r + 6866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 6*s + 7. Suppose 3*n - h = 17, 5*n - n + 2*h - 26 = 0. Let t be x(n). Suppose -t*k + 517 = 4*k. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-2)*(2 + (-136)\/12). Let l = -35 - c. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-702))\/((-28)\/12).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 11*q**2 - 178*q + 1307. What is l(17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12803, -5, -3733 in descending order.\nAnswer: -5, -3733, -12803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 230 - 151. Calculate the remainder when h is divided by (-28)\/6*765\/(-170).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 13cd?\nAnswer: 13d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*h + 4*h + 42*h)*(-4 - 1 + 4).\nAnswer: -73*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368897 is divided by 175.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 81*g**5\/5 - 81*g**4\/4 - 45*g**3 - 51*g**2\/2 - 6*g + 6. Factor c(m).\nAnswer: 3*(m - 2)*(3*m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/(-39360)*-41)\/((-3)\/90).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3014, -2836, -2538, -2120, -1582, -924, -146?\n\"Answer: 60*x**2 - 2*x - 3072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 825*i + 1615*i + 1185*i + 3074*i as j + t*i and give t.\nAnswer: 6699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184 divided by 32.\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 17 + 45 - d + 10 - 72. Let f(h) be the first derivative of 23*h**2\/2 + 2. Determine f(p(o)).\nAnswer: -23*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**2 - 26508*p = 0.\nAnswer: -6627, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 9:22 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 43612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-12))\/(2\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -0.2 (c) 0.09 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 100210022021?\nAnswer: -100210022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4805931477 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2603, -5157, -7711, -10265, -12819, -15373?\n\"Answer: -2554*h - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -218*p**3 + 9*p**2 + 56*p + 7. Is n(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 346\/519 - (-8)\/(-30). What is g in -l*g**2 - 4 - 14\/5*g = 0?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008917 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 6*n**2 + 4*n - 1. Let v be q(-5). Solve 0 = -o + 5*x - 4, x = -3*x + v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = 15*w - 95. Calculate the lowest common multiple of w and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7 = -j, 0*q - 3*q = j - 7. Solve -3*x**2 - 10 + 7 + 6*x**q = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2302320031 (base 4) to base 10\nAnswer: 732685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 7*p + 12. Let r be (-84 + 2)*p\/2. Let z be r\/(((-27)\/10)\/(-9)). Round z to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*v + 1554, -6*w + 10*w - 3*v - 1559 = 0. Let y = w + -153. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 11:06 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*y**3\/4 + 12585*y**2\/2 - 672991*y + 1320798 = 0. Calculate y.\nAnswer: -25898\/7, 2, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -b + 4*a, -2*a - 20 = 3*a. What is the hundreds digit of 1045\/3 + b\/(-72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, j: 2}. What is prob of picking 2 r and 2 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12888, 12877, 12854, 12813, 12748, 12653, 12522, 12349?\nAnswer: 12128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w**3 + 4*w**2 + 3*w + 3. Let l = 51 + -53. Let x be q(l). Let r = 79 + x. Solve -i + r = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -274 - 13662?\nAnswer: -13936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 996 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*t + 74 + 4532 = -237 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 178, 660, 1242, 1744, 1986?\n\"Answer: -30*p**3 + 230*p**2 + 2*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 12*u + 22. Let w be o(-9). Let g be w\/10*4\/(-2). Solve -9*z - g = -10*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-7) - ((-81)\/21 - 0). Solve r*b = -4*j, -12*b = -10*b + 4*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/72 and -43\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -115 - 0.165\nAnswer: -115.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*t - 0*t. Let y(v) = 6*v + 6. Let u be (-12)\/(-9)*18\/4. Let w be u\/(-9)*(-18)\/(-4). Let m(a) = 5*a + 5. Determine t*m(g) + w*y(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 2:50 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/35 + -1\/315. Let m = 34047\/376 + -721\/8. Let z = -194\/235 + m. What is the nearest to z in o, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 smaller than 1535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -11*j**4 - 3*j**3 + 3*j**2 - 15*j + 3. Let z(i) = -i**3 + i**2 + 1. Let x(t) = -w(t) + 3*z(t). What is the second derivative of x(r) wrt r?\nAnswer: 132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 10:16 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28305 - 16476. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 + 95*m**2 + 0*m**2.\nAnswer: 106*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 541, -1.04, 0, 1\/8, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*y**4 + 5\/4*y**3 + 0 + y + 2*y**2.\nAnswer: y*(y + 1)*(y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 0*y + 1 + 14*y + 12*y.\nAnswer: 25*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 13*a - 432. Let l be s(35). Which is greater: -1.6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1292327 is divided by 1112.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 10*o + 37. Let f(u) = -u**2 + 12*u - 36. Calculate 5*a(z) + 4*f(z).\nAnswer: z**2 - 2*z + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3064, 7705, 12346, 16987, 21628, 26269?\n\"Answer: 4641*r - 1577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*sqrt(13))**2 + 4 + 2*(-3 + sqrt(13)))*-2*-4.\nAnswer: 64*sqrt(13) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d + 41. Let v(c) = -c - 2*c - 35 - 10*c - 26. Let s(q) = -7*p(q) - 5*v(q). Let x be s(13). What is the greatest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28829 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-258)\/(-21) - (-169)\/260*-20\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/7)\/j*j**(1\/2))\/(j**1)**37)\/((j\/(j**1\/j))**(-20\/3)*((j\/(j*j**(-2\/3)))\/j*j)\/j*j*j\/(j**(3\/7)*j)) assuming j is positive.\nAnswer: j**(-439\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1806, 3873, 6206, 8805, 11670?\n\"Answer: 133*c**2 + 1668*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (1 - (0 + 4)) - -13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117*10\/360*48\/(-39).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-16))\/(2\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -0.3, 0, 0.003?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 2*h = -24, 148 - 132 = 5*l - 32*h + 33*h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 47. Let k(i) = 2*i**2 + 3*i + 2. Let r(q) = -3*q**2 - 5*q - 3. Determine d*k(x) + 6*r(x).\nAnswer: 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8322?\nAnswer: 2, 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/21407624 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0436 - -0.38.\nAnswer: 0.4236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 262287?\nAnswer: 262287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 447*l**3 - 13406*l + 13406*l + 773*l**2 wrt l?\nAnswer: 2682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let y(l) = -760*l**2. Give p(y(k)).\nAnswer: 1520*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 7*c**3\/2 + 31*c**2 - 181*c. Let s(j) = 8*j + 21. Let z(u) = 8*s(u) - 3*t(u). Give z(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2*r**3 - 1756*f**2*r**2 - 27*f**2*r - 3*f**2 - 2346516*f*r**3 + 28*f*r - 15*r**4 wrt r.\nAnswer: -12*f**2 - 14079096*f - 360*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 17. Let o be r(-10). Let g = o + 3. Let y = 67 - g. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**6\/30 - 7*y**5\/60 - y**4\/4 + 7*y**3\/6 - 2*y**2. Let k be s(-3). Calculate the highest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4150 (base 8) to base 3\nAnswer: -2221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 51?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 6 + 5*m + 49 - 5 to the form a + d*m and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00248312503 to five decimal places.\nAnswer: -0.00248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58 + 26?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + f = -1523, 3*f - 3835 = 10*h - 15*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 400*a + 14672. What is k(-37)?\nAnswer: 1241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 3. Let j(u) = -6*u + 16. Let p(i) = -3*j(i) + 16*t(i). Let s(c) = -2*c - 21. Determine s(p(h)).\nAnswer: -4*h - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Suppose 2*r - 6*r = l. Put r, 1, 2 in decreasing order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-5 - -2)\/9). Let d(y) = 3*y + 20. Let j be d(g). Let v(m) be the second derivative of -5*m**3\/6 + 3*m**2\/2 - 2*m. Determine v(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12745 + 231119. Let f be z\/(-91) + (-4)\/14. Round f to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -4 - -5 - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 6. Suppose 0 = -23*b + 4*b. Suppose b = -h - 337 + 339. Which is smaller: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 8*c - 12*c. Let d(k) = k**2 - 30*k - 24. Let p be d(c). Is p <= -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgrrrrrrrrrrrrrrgrr. What is prob of picking 2 r?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 6*o**2 - o - 6. Let q be k(-6). Suppose 4*m = 3*y - 20, -5 = 2*y - q*y + m. Let n(u) = u + 2. Let i be n(y). Is 6 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4 - 1624*n**3 + 259909*n**2 - 758564*n - 1020096 = 0. Calculate n.\nAnswer: -1771, -1, 4, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-15 - 13\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2. Let i(c) be the first derivative of 2*c**3\/3 - 8. Calculate i(l(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 219*r = -217*r + 6, 0 = -3*j + 3*r + 9. Find x, given that -2\/3*x**3 + j*x**2 + 14\/3*x + 4 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1111, 781, -2, -1 in descending order.\nAnswer: 781, -1, -2, -1111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5982*k + 317030. What is y(-53)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**6\/6 + 124*r**5\/5 - 423*r**2\/2 - 54. Find the second derivative of p(k) wrt k.\nAnswer: 20*k**3 + 1488*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124847\/105 - -1189. Which is bigger: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32154326 plus 5?\nAnswer: 32154331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 2. Let v be m(4). Let o be (3 - (1 - 3)) + 0. Solve 20 = -5*l - o*f, -v = 2*l - f + 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bb59 (base 13) to base 16.\nAnswer: d585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-145)\/2)\/(((-1320)\/(-32))\/(-33)). Suppose 2*a - p = a - 2*g, 168 = 3*a + 4*g. Suppose 4*w = -w + 130. What is the greatest common divisor of a and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 9*x = 3003. Let c = x + -411. Let z = -96 - c. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2716, 2785, 2854?\n\"Answer: 69*u + 2647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1124.06*-1131.\nAnswer: -1271311.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -w - 5*h - 11980, -3*w - 2*h - 7183 = 0. Is (-56)\/84*w\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 43. Suppose b*n = -7*n + 36. Solve -3*i = 3*g - 15, -i + 5*i - n = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34919, -279951, -945031, -2240183, -4375431, -7560799, -12006311, -17921991?\n\"Answer: -35004*z**3 - 4*z + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027682927 rounded to 4 dps?\nAnswer: 0.0277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/((-1463)\/455))\/((-3785)\/49962)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2*i**3 + 5*i + 66*i**2 - 10 - 2*i - 3*i.\nAnswer: -2*i**3 + 66*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j**3 - 14*j**2 - 5*j + 8. Let b(a) = a**3 - a**2 - 3*a - 1. Let k(c) = 6*b(c) - t(c). Let i be k(5). Sort 7, i, 6, 0 in ascending order.\nAnswer: i, 0, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 18*y**3 + 2*y**2 + 3*y. Let k(c) = 57*c**2 - 56*c + 2. Let i be k(1). Let a(z) = z**3 - z. What is i*a(v) + h(v)?\nAnswer: 21*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2224443004 - 341?\nAnswer: 2224442113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 77.41998 millennia?\nAnswer: 77419.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9332728967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11641 + -10967. Calculate the remainder when g is divided by 115.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 m, and 1 a when three letters picked without replacement from {m: 1, v: 2, w: 1, a: 1, o: 1, l: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*w + 12 = 0, 0 = 4*j - 3*w + 41 - 10. Let y = 13 - 17. Let v = y - j. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 538.8946 and -61.\nAnswer: 477.8946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - b + 11, -3*b = 5*n - 0*b - 19. Let k(i) = 2*i**3 - 2*i**2 + 3*i - 2. Is k(n) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/208)\/(((-225)\/(-6))\/(-15)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 40\/21?\nAnswer: 40\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5286732 rounded to the nearest ten thousand?\nAnswer: -5290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 9*y - 57. Let z(q) = 2*q**3 + 3*q**2 - 4*q + 3. Let a be z(1). Solve a*r + 2*x + 6 = 0, -5*r + y = -r - 3*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59345344*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 302, 303, 304, 305, 306, 307?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 332\/15 - 22. What is the third biggest value in w, -2, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omkm when four letters picked without replacement from cckommmmcokccmmmcm?\nAnswer: 7\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Let l(b) = b - 19. Let m be l(13). Let i(p) = -2*p - 6. Let x be i(m). Solve 0 = 4*d + o + 24, -x = v*d - o - 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.5 (c) 2\/11 (d) 39.1 (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 572 and 4279392.\nAnswer: 47073312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 233?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30179 and 1465.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-70)\/3*84\/(-70). Let h be ((-4)\/b)\/((-2)\/4). What is the nearest to -2 in 5, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.7 + 1.3. Let j = -50.6 - -51. Let k = w + j. Is k at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3419387\/112 - 30531. Find the common denominator of q and -19\/10.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3313 - 5?\nAnswer: -3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69795 = 98*i - 2683*i for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-345)\/(-5)*2908\/16721\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14716 is divided by 89.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 15) to base 10.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -19, -37, -71, -127, -211, -329?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4020257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10411 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 41*r + 330. Let c be z(-30). Let f(b) be the third derivative of 7\/30*b**5 - 5\/12*b**4 + 0*b - 7*b**2 + c - 2\/3*b**3. Solve f(q) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/10 + 2)*-10. Let m(p) = p**2 + 6*p - 1. Let d be m(n). Does 7 divide 5\/d*1*21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179286\/5 - 35857. Let 2*s**2 - 1\/5*s - 2 + m*s**3 = 0. Calculate s.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**2\/2 + 3*j - 21. Let g be s(3). Is 6\/g + -334*(-12)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8688, 17375, 26062, 34749, 43436, 52123?\n\"Answer: 8687*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1203543225 + 2?\nAnswer: -1203543223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18789 + -0.5\nAnswer: 18788.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1)*(-5)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*c**3*t + 590*c**2*t**2 + 2464*c**2*t - 23*c*t**2 + 3172026*c wrt c?\nAnswer: -102*c*t + 1180*t**2 + 4928*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.27, 3, -0.5, -56?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 244*s**2 - 42*s - 164. Let l(x) = -244*x**2 + 43*x + 165. Let y(c) = 3*l(c) + 4*p(c). Is y(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -6. Let y be 2\/8 - 2\/w. Sort 3, y, -4\/9 in descending order.\nAnswer: 3, y, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from hhbsb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -101, -126, -161, -206, -261, -326?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.54 - 0.24. Which is the smallest value? (a) -2 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 + 23 = -6*l. Let x be 5\/(-15) - (-3)\/l. Suppose -2*a + 24 = n, x = 2*a - 2*n + 6*n - 36. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2382 - 1265. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745596631.\nAnswer: 13, 71, 807797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)*z)\/z**6)\/((z\/(z\/z**(-6)))\/z*z*z*z**(-1\/3)\/z*z) assuming z is positive.\nAnswer: z**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 - 5 - 40*p**3 - 11*p**3 - 6*p**2. Let r be h(-6). Let o = r + -192947\/18. Calculate the common denominator of 61\/10 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*q + 89, -94 = -2*q - 0*q + 2*i. Let v be (-2 + 3)\/((-2)\/(-94)). Let x = v - q. Solve -f = -x*m, 0*m - 4*m = -5*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.59 + 0.59. Let s = 30 + c. What is the smallest value in 2, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 3)*(5*b**4 - 4*b**4 - 4*b**4 + 5*b**4 - 3*b**4 - b**4 + (-b + b - 2*b**2)*(-2*b**2 + 2*b**2 + b**2) + 5*b**2 - 5*b**2 - 5*b**4).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + j + 218 = 2*j, 2*j = 4*y - 166. Calculate the remainder when y is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 35. Suppose -j = 3*f - 35. Suppose 4*r = 68 - f. Calculate the greatest common factor of r and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1132036591*n + 1132036587*n - 2 + 11.\nAnswer: -4*n + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from hhehuheulluh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17\/4 (b) -98 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 17, 112, 317, 674, 1225, 2012?\nAnswer: 3077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 148*m - 6. Let p be o(0). Let h(r) = 29*r**2 + 6. Let y(n) = 30*n**2 + 5. What is p*y(b) + 5*h(b)?\nAnswer: -35*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 8*r**2 + 12*r + 1. Let x be g(-10). Suppose 3*f - 54 = x. Calculate the remainder when f is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**2 + 7*u + 16. What is r(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*s**4 + 6*s**4 - 7*s**4)*(3*s + 9*s + 0*s) + (0*s**4 + 3*s**4 - 2*s**4)*(4*s - 3*s - 3*s).\nAnswer: -206*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1707 - -4230. List the prime factors of h.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24440397)\/9 - (-9)\/(-27). Round h to the nearest ten thousand.\nAnswer: -2720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 r when four letters picked without replacement from {i: 3, x: 9, h: 2, r: 2, z: 3, f: 1}?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/(-5) + -2 + (-30)\/18*(-99 + 93). Factor 2*c**3 - k + 2\/5*c**2 - 2*c.\nAnswer: 2*(c - 1)*(c + 1)*(5*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72594 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15395.0758 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 6442805.\nAnswer: -6, -4, 6442805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -259.66 * -12.6.\nAnswer: 3271.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -16*u - 6. Let n(a) = -15*a - 5. Let v(m) = -6*n(m) + 5*q(m). Let c(f) = 1. Let j(o) = -c(o) - v(o). Calculate j(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2818 divided by 3803.\nAnswer: -2818\/3803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m - 32 = -2*v, 3*m + 63 = 3*v. Let s = -12 + v. Suppose -100 = -s*n + 2*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*l + 1860 = 83*l - 32*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 11*c**4\/12 + 5*c**2\/2 + 78*c - 3. Let u(w) = -3*w. What is u(s(z))?\nAnswer: -33*z**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 527\/4465 - 3\/235. Let w be -7*(22\/14 - -1). Let s be ((-2)\/5)\/(11\/((-165)\/w)). What is the closest to s in -1\/19, 3, t?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 7. Let i(u) = -107*u**2 - 2. What is p(i(s))?\nAnswer: -107*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20886109?\nAnswer: 3593, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17a93 (base 11) to base 9.\nAnswer: 37587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/3 and 55\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 12. Let b be (-6)\/(w*6\/4). Let i(f) = -f + 10. Let n be i(5). Solve 4 = t, -n*t + 12 = -0*s + b*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-7 + 11 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24037182 and 468?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 5*f - 2. Let z(i) = i**2 + 6*i + 2. Suppose -1 = -2*n - 11. What is n*z(v) - 6*u(v)?\nAnswer: v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74305996*r**2 + 137*r - 42861.\nAnswer: -148611992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4736)\/(-370))\/((-161)\/1610).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o - 2. Let t be z(-3). Let h = t + 27. Let y = 4 + h. Calculate the smallest common multiple of 9 and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2386020 is divided by 413?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8565405 and 8565405?\nAnswer: 8565405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 204184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 1\/8*m**4 + 0 + 0*m + 5*m**2 + 0*m**3. Let x(u) = 3*u. Determine t(x(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 2*x**2 + 2*x + 3. Suppose 6 = 4*v - 2. Suppose -2 = 2*m - v*u, -4*m - m = 3*u + 21. Determine c(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/35, -3, 2\/5, 114, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**10\/5040 + t**6\/360 + t**3\/6 - 3*t**2. Let x(y) be the first derivative of q(y). Find the third derivative of x(r) wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwwrwwwmwrm. Give prob of picking 2 m.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v = 27*v + 19802. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*q - 4*q - 5*q**5 + 22*q**5 + 11*q wrt q?\nAnswer: 340*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/31 (b) -351 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2068 and 156040.\nAnswer: 1716440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o - o + 6*o)*(o - 1613 - 1914 + 1719 - 3691)*(0 + 4 - 3) as g*o**2 + n + z*o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 18 + 50 = 5*m, 3*m - 26 = t. Let y = 2 - m. Let a be (-5)\/(15\/y) - -1. Solve -a*r = -2*r + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29229194807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-130)\/(-35) - (-4)\/14. Let z be s - 2 - -2 - -137. Suppose -2*c + 5*c = z. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o. Let v(g) = -g. Calculate v(m(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4844*k - 1674*k + 1794*k + 268056 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 651\/(-198) + 1\/3 and -97\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/3 + 6512*o**2\/3 + 1490320*o\/3 + 30825600.\nAnswer: 4*(o + 130)**2*(o + 1368)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. Let w be ((-2)\/m)\/((-3)\/(-5)). Let f = -24 + 22. Which is bigger: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 7, 3, -3 in decreasing order.\nAnswer: 9, 7, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/(-2))\/(-4) + 130. Suppose 35 = z + n. Which is smaller: -90 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2246357?\nAnswer: 2246357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2696 - -2697. Let j be (4\/6)\/(2\/3). Calculate the remainder when w is divided by (0 - j)*1*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from nnnnnnonnnnnnnonnn.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 25. Let l = v - 20. Let j = 0.152 + 0.048. Put 2\/3, l, j, -2 in increasing order.\nAnswer: -2, j, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 3. Let t be d(-2). Suppose -8*q + 3*k = -4*q + 3026667, -t*q = 2*k + 2269996. Let c = q - -206666. What is c rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27250963 rounded to the nearest 10000?\nAnswer: -27250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0*t - 4\/3*t**4 + 14\/3*t**3 - 139*t**2 + 1\/15*t**5 + 0. Suppose y(m) = 0. What is m?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25, 2.39, -2, -1\/5, 0.5, 4 in decreasing order.\nAnswer: 4, 2.39, 0.5, -1\/5, -0.25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 24 = 10*o. What is the second biggest value in 0, -0.05, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14751 by 33.\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 < -2.022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -446 + 299. Is (-4)\/14 + (-6216)\/z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -1309\nAnswer: 654.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, -20\/11, 31, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.94689 and 0.4?\nAnswer: 0.378756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.246, 0.8, -1190 in decreasing order.\nAnswer: 0.8, -2.246, -1190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from ybpbw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 53?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 13*s + 27. Let w be f(12). Let b = w + -36. Suppose -2*a = b*c - 6*a - 26, -4*c - 7 = 3*a. Solve 5*o = -c*v + v - 16, -5*o = -3*v + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -15, -53, -125, -243?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 3:13 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3324 + 3381. Calculate the greatest common factor of o and 1387.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(19)))**2*6 + (sqrt(19) + sqrt(152)\/(sqrt(8) + sqrt(8) + sqrt(72)) + -5)**2 + -4.\nAnswer: -60*sqrt(19) + 13209\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 165753.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(38\/(-12)) - -7. Suppose -609 - 613 = -j*w. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3519*d**2*m - 99*d**2 - 397*d + 487*m - 2 wrt d.\nAnswer: 7038*m - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**4 + 5*i**3 - 121*i - 54. Let u(f) = -2*f**4 + 4*f**3 - 120*f - 54. Let h(c) = -4*k(c) + 5*u(c). What is the derivative of h(x) wrt x?\nAnswer: -8*x**3 - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199124*d + 4 - 4 + d**3 + 199124*d.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlaklnaalndlkkkn. What is prob of picking 1 l and 2 n?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-42)\/(-63) - (-1156)\/48 and 2\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49283 is divided by 77?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1105 + 1104.99098. Round c to 4 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -2 - -1)*275\/(-22). Suppose 4*c + j = -c. Let p(s) = -1. Let b(x) = x + 3. Calculate c*p(g) - b(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.4 + 14.3. Let d(n) = n**2 - 15*n + 7. Let g be d(15). What is the smallest value in -5, 2, g, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162789*b**3*g**4 - 37*b**3*g**2 + 75*b**3*g + 17*b**3 + 2*b**2 - 13*g**4 wrt g?\nAnswer: -3906936*b**3*g - 312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (270\/1260)\/((-12)\/14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -107 * -6399\nAnswer: 684693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert e50 (base 16) to base 9.\nAnswer: 5021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 75 = 4*d, 4*v - d = d + 100. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 13 = -1. Let k(u) = 18888*u**2 - 7*u - 13. Let q be k(f). What is q rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10298*r**4*v**2 - 4*r**2*v**2 + 25*r + v**2 - 2 wrt r?\nAnswer: -247152*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 536671*w**3 - 32*w + 483762686 wrt w?\nAnswer: 1610013*w**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -77. Let z be 1 + (3 - (4 + -2)). What is the closest to z in -2, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 40. Let o = s - -7. Suppose -3*v = -o, 7*g - 2*g = v - 47. Which is greater: -23\/3 or g?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16730 divided by 258\nAnswer: -8365\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 83 and 209.94.\nAnswer: 292.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3047 by 277.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675388?\nAnswer: 2, 7, 24121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 16*f - 80. Suppose 111 = f*c - 89. What is the greatest common divisor of 200 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-22) + 248\/88. Solve -7*v = -d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 110101?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -2\/5*n**5 - 1\/2*n**4 + 0*n + 0*n**2 + 2\/3*n**3 + 8 + 1\/3*n**6. Find f such that y(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5\/13 + 6740*o**4\/13 + 6748*o**3\/13 - 20224*o**2\/13 - 6746*o\/13 + 13484\/13 = 0. What is o?\nAnswer: -2, -1, 1, 3371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85120 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**3*q*v + 45*c**2*q**3*v + q**3 - 114*v + 2 wrt c.\nAnswer: 6*c**2*q*v + 90*c*q**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -94616500.7 rounded to the nearest 10000?\nAnswer: -94620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*13\/(-65)*(-750)\/4. Let n be 3367\/28 - 2\/8. Calculate the highest common factor of n and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 3*s + w, 5*w = -3*s + 33 + 20. What is the smallest common multiple of 42 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 1. Let o = 10 + -12. What is the units digit of k(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*h - 1)*(1 + 4 - 4) - 2*h + 3*h - 3*h + 0*h + 3 - 3*h + 0*h.\nAnswer: -8*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8560*k**2 - 8580*k**2 + 17137*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + (-23 - -11) + 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42206, 42159, 42112, 42065?\nAnswer: 42018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10677*(1 + -2)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-10) - 1)*-58. Is 29 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -19*f + 2. Let k be d(-2). What is the least common multiple of 3 + -5 + 4 - (3\/(-1) + 1) and (-223)\/(-5) - (-16)\/k?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/123 and -29\/328?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -154.3 - -178. Let d = 24.2 - w. Sort -0.2, d, -117 in descending order.\nAnswer: d, -0.2, -117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4251*m**2 + 9*m - 18. Let d(q) = -5*q + 7. Let a be d(0). Suppose -a*t = -21 - 21. Let c be h(t). What is c rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1212946 and 2282.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 3482915*f + 3482920.\nAnswer: -5*(f - 1)*(f + 696584)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4126.1 + -5458. Let q = a - -1277. Round q to the nearest integer.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11383877 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4866 + -1966. Let f = 7005 - n. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzezzzezee. Give prob of picking 2 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/21)*r)**(1\/6) assuming r is positive.\nAnswer: r**(22\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - w - 1. Let h be c(2). Let a be (-324)\/h - 10\/35. Let q = a + -18. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 + 108. Suppose -9*w = -v*w + 208. Calculate the highest common divisor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -u + 261, 10*u + 5*w - 2346 = 7*w. Let t(o) = -5*o - 3. What is the remainder when u is divided by t(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-485)\/3 - 2\/6. Let j be (0 - 6\/45)*f\/9. Let t(y) = y + 4. Let g be t(-3). What is the third smallest value in g, 1\/8, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1608, 2\/13, 1\/12, 30, 1\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9513 divided by -151.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u + 5*u - u**2 + (-2 + 3 + 1)*(4*u**2 - 4*u**2 - 4*u**2) + 3*u - 3*u + 2*u**2 - 9*u - 5*u**2 + 9*u as w + x*u + c*u**2 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1 (c) -1\/974 (d) 0.1572 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab401 - 4?\nAnswer: ab3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7047368 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtgg when four letters picked without replacement from tgtttgggggggt?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119164, 119167, 119170, 119173, 119176?\n\"Answer: 3*r + 119161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(3\/31)*g\/(g*g**4\/g))**13)**(-13))**(-6\/5) assuming g is positive.\nAnswer: g**(-18252\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.95 + 0.05. Let q = b - 7. Let d = 0.1 - 0.2. What is the third smallest value in q, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9261 + -9260. Let v(g) = 5*g**2 + 3*g - 5. Let z(n) = n**2 - n. Let m(f) = v(f) + 3*z(f). Let q(k) = -k**2 + 1. Give x*m(h) + 4*q(h).\nAnswer: 4*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2*b = -8, -g + 13 = 4*b + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 + 0*a + 0*a)*(1 - 3 - 1) - 2*a**4 + a**4 + 2*a**4 + (-2*a - 4*a + 4*a)*(-5*a**2 - 3*a**3 + 5*a**2) + 4*a**4 - 7*a**4 + 4*a**4.\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 0, -315 in descending order.\nAnswer: 34, 0, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2. Let f(b) = 162299873*b**2. What is d(f(p))?\nAnswer: -79023746327448387*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3\/(-3)*(-8)\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*v + 3 + 1 - 5 + 2.\nAnswer: 56*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*u - 141, a + 2*u = 2*a - 139. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 29*a**2 + 6*a - 40. Let o be s(-3). What is the highest common factor of 551 and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*j**2*o**2 + 39*g*j**2*o + 6*g*j**2 + 2*g*j*o - 199*g*o**2 + g - 4*j**2*o**2 + 2*j**2 wrt o?\nAnswer: -4*g*j**2 - 398*g - 8*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (13 - 43) + 14 + 0 - -2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 12*u - 9. What is the remainder when 42 is divided by a(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1563876502?\nAnswer: 2, 271, 859, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.58 + 2.58. Put -1\/4, d, -0.8 in descending order.\nAnswer: d, -1\/4, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(2 + 13))\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 18. Let o be t(-13). Suppose -o*l - 2*h = -261, 4*l - l - h = 161. What is the remainder when l is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -444 (base 10) in base 5?\nAnswer: -3234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*n + 2*n**3 - n + 12*n + 13*n**3 wrt n?\nAnswer: 90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + 77. Let g = z - 45. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - -8)*(6\/9 - 80\/48). Which is the fourth biggest value? (a) w (b) 1\/6 (c) 0 (d) 11 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -698 + 1352 - 757 + 7*d + 0*d in the form i*d + y and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96502 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d - 14 = 44*d. Suppose -2*a - a = 0, f + 4*a = -d. Let t(j) = -j**3 - 7*j**2 + 2*j + 8. Give t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 561, 1101, 1643, 2187, 2733?\nAnswer: 3281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1874105 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znzojzj. What is prob of sequence znoz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39764*o**5 + 2*o**3 + o**2 - 462832*o + 2 wrt o?\nAnswer: -795280*o**3 + 12*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*d + 21 = 0. Suppose 7*w = d*w - 384. Let f be (-11)\/((-330)\/w)*(-10)\/4. What is the greatest common divisor of f and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.0017 + 26.98919. Let y = s + 1.31273. Let u = 1.7 + y. What is u rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -23 in descending order.\nAnswer: -1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*b + 44, 2*b + 5*h - 2 + 3 = 0. Let l(f) = f**3 - 5*f**2 - 8*f + 10. Let u be l(b). Let s = u - 16. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205 + 80 + 94 - (-1 - (-2 - -1))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 19*l**2 - 10*l + 12. What is q(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) + 30\/4. Let s = -7 + o. Suppose s = t - 3*i + 4, 0 = -5*i + 10. Solve 2*q + 7 = -5*l - 2*q, q = -t*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r - 2*m = -43*r - 39 - 23, 3*m = -8*r + 121 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/27 or 23?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -38240 to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 12:34 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -2.5. Let m = 2565.7 + -2566. What is the nearest to 1 in 0.2, m, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 26 + 10)*(-5*l + l + 2*l) + (0 - 1 + 2)*(4 - 4 + 2*l) - l + 4 - 4 + 5*l - 2*l - 2*l + 0*l + 0*l - l)*(-l - 4*l + 4*l).\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011581 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 26*w - 1. Let m(r) = -51*r + 1. Calculate -2*m(a) - 5*q(a).\nAnswer: -28*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-29)\/(v*v**(9\/5)*v)*(v**(-24)\/v)\/(v*v*(v*(v\/v**(-15))\/v)\/v*v))**(-1\/32) assuming v is positive.\nAnswer: v**(379\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emm when three letters picked without replacement from kemmkmmmmmmhm.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14700 and 5072375?\nAnswer: 426079500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41507229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 445, 1639, 3575, 6253, 9673, 13835, 18739?\n\"Answer: 371*t**2 + 81*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 11 = 16. Let b(z) = -z + 109*z**u + 2*z**2 + 116*z**3 - 231*z**3. What is b(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164\/176 - 63\/84?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**3 + q**2 - 2*q + 2. Determine v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.95 + 0.35. Is 1 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 44. Suppose -1333 = -5*v - 4*k, -1348 = -j*v - 2*k + 3*k. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 577?\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -8. Let q be ((-2)\/g)\/((-2)\/18). Let c = 11 + q. Calculate the remainder when 14 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333*0.2.\nAnswer: 66.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1260114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69925*b**3*z + 85*b**3 - b - 7 with respect to z.\nAnswer: -69925*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 9*q**2. Let f(k) = k. Let a(s) = s. Let g(v) = -a(v) + 2*f(v). Give z(g(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061793913?\nAnswer: 313, 6587201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40433541 divided by -53?\nAnswer: 762897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-545)\/(-25) + 1\/5. Which is bigger: w or 19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -39, -90, -163?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -691 - -1347\/2. Calculate the common denominator of s and (-1 - -5) + (-1323)\/198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**4 - 52*q**2 + 461 + 49*q**3 - 72*q**3 + 30*q**3 - 4447 wrt q.\nAnswer: 4*q**3 + 21*q**2 - 104*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(2\/(-7) + (-195)\/910).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 14, y: 4}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 2*f + 792. Let a(t) = -4*t. Give a(o(j)).\nAnswer: -4*j**2 + 8*j - 3168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + 4 + -1 - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, 7, 13, 21?\n\"Answer: w**2 + w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {b: 6, m: 4, w: 1, e: 3, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275443 (base 8) to base 9.\nAnswer: 157123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9755789.\nAnswer: 79, 123491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68649 = 1571*r - 170*r for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-22))\/(2\/12*3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-144)\/(30\/(-5)))\/((-498)\/(-83)))\/(-82)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - -1. Sort 9, -5, w in descending order.\nAnswer: 9, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 21*f - 3*f**2 - 13 + 6*f**2 - 2*f**2 - 13*f. Calculate h(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 24*c + 44. Let y be h(-22). Suppose 135*o - 128*o - 98 = y. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 4*c**2\/3 - 220*c\/3 - 448\/3.\nAnswer: (c - 14)*(c + 2)*(c + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f. Let r(m) = -1627 + 19409*m + 13079*m + 1627 - 8619*m. Calculate r(u(c)).\nAnswer: 47738*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*9\/486*-4?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89\/6 + -147\/10. Let l = 0.42 + -0.12. Sort l, t, -2 in descending order.\nAnswer: l, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 6\/19, -1, -4, -73, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64\/117 + -10\/13. Which is the smallest value? (a) -0.4 (b) -7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and 0.4.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91\/3 + -30. Put 5, -1\/4, d, 1\/2 in decreasing order.\nAnswer: 5, 1\/2, d, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6042*y - 6049*y - 6055*y + 24209*y - 6048*y.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3071 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/(-35))\/((2\/(-8))\/(275\/(-220))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(50)*-1*3)\/sqrt(10))**2.\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (8 + -14) - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12257 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292, -732, -1170, -1606, -2040, -2472, -2902?\nAnswer: -3330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38529780 + -38529803.999971. Let v = 24 + n. Round v to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.693 and -3.432.\nAnswer: 91.610376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 13*d - 3 = -10*d, 3*v = -2*d - 1. Sort 0.7, 8, v, -1.\nAnswer: -1, 0.7, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 13 - 11 = 0. Suppose -q*p - 21 = 4*b - 3*p, 5*p - 13 = -3*b. Let j be b + (-125)\/3*-3. Calculate the greatest common divisor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 3*v**2 - v + 7. Suppose 0 = -0*i + 5*i - 25. Let f = -2 + i. Let m be o(f). Which is smaller: 6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 7 + 7)*(1 - 1 + d) + 11*d**3 - 7*d**3 + 12*d**3.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1213430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-5) + 6\/6. Let a = 3.87 - -1.13. Put 2\/3, a, 13, j in descending order.\nAnswer: 13, a, 2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 10110?\nAnswer: -10103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73757, -147798, -221839, -295880, -369921?\nAnswer: -443962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -15, 0.1, 0, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/102?\nAnswer: -5\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 19*b + 16\/3*b**3 - 5\/2*b**2 + 0. What is the derivative of z(f) wrt f?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*r - 20 = 0, -6*l + 4*l = 5*r - 22. Let k(p) be the second derivative of 17*p**3\/6 - 5*p - 9. Let y(u) = -4*u. Calculate l*k(g) + 26*y(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-98325)\/(-399) + 8\/14. Calculate the greatest common factor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llvllwllfwwvvv. Give prob of picking 1 v and 1 f.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -26*f - 3551. Let z(r) = -158*r. Give z(j(b)).\nAnswer: 4108*b + 561058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27187761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2486517570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 38*w**2 + 4*w - 73. Let n be p(19). Solve 3*y - 3*u = n, 5*y + 28 + 7 = -3*u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -20*y**2 - 4*y + 1. Suppose 0 = 3*i - 7 + 1. Suppose 3*x + 5*d - 8 = 0, i*d = -0*x + x + 1. Let q be p(x). Sort 4, -5, q in decreasing order.\nAnswer: 4, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*9\/(-144))\/((-1017)\/136278)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 5*m**2 - 7*m + 5. Let a(f) be the first derivative of -f**4\/4 + 4*f**3\/3 - 3*f**2 + 4*f - 6. Determine -5*a(p) + 4*o(p).\nAnswer: p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -18. Let n(b) = -3*b - 2. Let h = 3 + -2. Let d(m) = -m. Let w(f) = 7*f. Let l(a) = h*w(a) + 6*d(a). What is v*l(p) - n(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -35 times 0.11\nAnswer: -3.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 40. Let q be f(-9). Suppose -118 - q = -10*u. Is u != -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125291\/20 - -6266. Let g be 21866775\/1145844 + (-1)\/8*2. Let w = g + -1\/4547. Calculate the common denominator of w and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/5)\/((-9)\/(-6))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1279.99 + -1289. Let p = f + 0.01. Let n = 8.5 + p. Which is the nearest to 2\/7? (a) -0.4 (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*l - 4*l + 2*l)*(5 - 5 - 9) in the form o + i*l and give i.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5)*(7 - (6 + -29)). Which is the second biggest value? (a) -22\/3 (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 132*t - 7 - 132*t + 4*t**3. Let b(f) = -4*f. Give b(a(k)).\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*q**2 + 4 - 55*q**2 + 75*q**3 + 27*q**2 wrt q.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - s - 6*s + (-2 + 5 - 12)*(35*s - 869 + 869).\nAnswer: -319*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7123968*8.\nAnswer: -56991744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4 = 8*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z - 7. Suppose 24*m = -0*m - 144. Let p(i) = -8*i + 6. Let n(s) = m*p(s) - 7*r(s). Let k be -1 + 11 + -2 - 1. Determine n(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r**2 - 12*r - 3. Let n be (-1 - -2)*(-13 - -12). Let y(x) = -x**2 - x. Let z(g) = n*w(g) + 6*y(g). Calculate z(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o + 34 + 196 = 30 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-44)\/(-12) + -4. Which is the closest to 0.1? (a) 0 (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5 - 1856*i**4 + 517194*i**3 - 38498508*i**2 + 247727808*i - 209744640 = 0. Calculate i.\nAnswer: 1, 6, 105, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 6*l - 1440 = 41*l for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*j + 15, -1 = 5*j - 2*x - 10. Suppose p = j*u - 51, -5*u - 2*p - 7 = -81. Solve d - 29 = 5*t, 3*d - 4*t = 4*d + u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/57, 6, -2.73, -3, 4 in descending order.\nAnswer: 6, 4, 3, -2\/57, -2.73, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29696372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + 4. Which is smaller: 16 or b?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 2 + 0\/(-2). Let s = -5.13 - -0.13. What is the closest to y in 0.2, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 80, 134, 188, 242, 296?\n\"Answer: 54*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6926314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1166 or 1163?\nAnswer: 1166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 249 (b) -1 (c) -6 (d) -3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31676\/7 - 4525. What is s in j*s**5 - 1\/7*s**4 - 1\/7*s**3 + 1\/7*s**2 + 0 + 0*s = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + 4)\/(2 - (-46)\/(-20)). Let c = g + 34. Solve 9*t = c*t + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302917621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (330\/(-12))\/(-11)*(-12)\/(-30). Suppose -5*x = 4*h - 9*h + 10, 5*h - 40 = -5*x. Let l(m) = -m - 3*m**3 + m**3 + 1 - m**x. What is l(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2354746.688 rounded to the nearest 1000?\nAnswer: -2355000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 + -82. Suppose -z*r = -222 - 372. Calculate the highest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 214, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16\/7 (b) -1\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/19 (b) 4\/5 (c) -17 (d) 5 (e) 27 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 41 = -32*q + 30*q, -2*i + 5*q = -46. Let y be i\/165 - (-808)\/10. What is the greatest common factor of 6 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.496 - -3.996. Which is the nearest to 1? (a) 69 (b) -3 (c) -5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**3 + 5*b**3 - 8*b + 896*b**4 - 850*b**4 as k*b + d*b**2 + p*b**3 + r*b**4 + a and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u + 43. Suppose 98*i + 28 = 96*i. Let v be (-60)\/i + 2\/(-7) + -16. List the prime factors of p(v).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3797, -5104, -6411?\n\"Answer: -1307*k - 2490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599270921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o. Let r = 297 + -259. Let v(t) = -r*t + 139*t - 34*t - 38*t. What is j(v(l))?\nAnswer: 58*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-45)*9\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.5, -0.9, -17, -1.\nAnswer: -17, -1, -0.9, -0.5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 2*d. Suppose -d*a + 43 = 3*u, -4*a - 85 = -5*u - 8*a. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = x - 31. Suppose 6*o - 6 = x. Calculate the lowest common multiple of 9 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 12:09 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 620\/150 - (2\/(-15))\/(-1). Is -3 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from birrjrjjnrpjjrbjrij. What is prob of sequence pnb?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 + 122. Suppose 5*d + 11 - t = 0. Is 2\/35 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/420 and -7\/6.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-10 + -11 + (-3 + 5 - -65) + 1).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 + -48. Let l = -24 + g. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2170314 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 2*w**5 - 2)*(-1 - 4 + 4 + (-2 + 1 - 1)*(1 - 1 + 2)).\nAnswer: -10*w**5 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320901?\nAnswer: 3, 7, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + y**2 - 6*y - 10*y to the form l + u*y**2 + w*y and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138.6 + -1638.\nAnswer: -1776.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 1188?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 92c + -8?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 + 2*p**2 - 5*p - 21. Let m(z) = -4*z**3 - 3*z**2 + 5*z + 25. Calculate 5*m(u) + 6*q(u).\nAnswer: -2*u**3 - 3*u**2 - 5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(98)*2 + sqrt(200)*-1*-2.\nAnswer: 76*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, p: 2, o: 4, y: 2}. What is prob of picking 2 p and 1 o?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaadjdy. Give prob of sequence dyd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 26 - (-860)\/85 - 47\/(-34)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.94 + 0.06. Let j = y + -0.5. Let o = -0.6 + j. Which is the closest to o? (a) -2 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -373\/3 - -123. Suppose 3*o + 3 = 0, t + 2*o = 5*t - 6. What is the nearest to -0.1 in q, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and -2.3?\nAnswer: 57.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 1\/452 (c) 9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3573, 4, 14 in decreasing order.\nAnswer: 14, 4, -18, -3573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -903, -2088, -3763?\nAnswer: -5928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 26850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 19*f**6\/360 + 20*f**3\/3 - 3*f**2. Let v(p) be the first derivative of a(p). Let s(t) = -2*t**2. What is v(s(r))?\nAnswer: 76*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 192 (base 11) to base 4\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 60*t**5 - 4371*t**4 - 6513*t**3 + 20553*t**2 - 4383*t - 5346 = 0.\nAnswer: -3, -2\/5, 1, 297\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*l + l - 55, 0 = -2*s + 4*l + 34. Calculate the highest common factor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*k - 2*i, 0 = -7*k + 4*k - 3*i + 15. Let m be -7 + k + (-2)\/(-1). Solve b = -0 + m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 8*a - 6. Let y be v(-9). Let f(u) = 2*u**2 + 4*u**2 + 2*u**3 + 5 - 8*u**2 - y*u. Is f(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 3*v**2 - 3. Let w(m) = 2*m - 5. Let z be w(4). Let k(f) be the first derivative of f**4\/4 - 2*f**3\/3 - 2*f - 94. Calculate z*k(s) - 2*u(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 42643*f**2 - 2. Let s(i) = 3*i. Give s(w(l)).\nAnswer: 127929*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 12 = 6*h. Let l(a) = -a**2 + 9*a - 8. Calculate l(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**4 + 76678103*u**2 - 494408295.\nAnswer: -8*u**3 + 153356206*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -906*g + 76*g - 2624*g - g + 0*g - g + (-g - g + 4*g)*(2 - 5 + 1) + 3*g - 4*g + 3*g + 0*g + g - 2*g.\nAnswer: -3459*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 10:29 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -14*m**3 - 4*m**2 - m + 2 + 18*m**3 + m**2. What is the least common multiple of 10 and u(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7037 - -7037. Suppose 0*q = 2*q - 2. Let i be 220\/35 + 6\/(-21). Solve s = u + i - q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 565 + -426. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((2\/6)\/((-4)\/(-6))). Suppose 3*u - 3*z = -2249991, 0 = j*u - 0*u - 3*z + 2999991. Round u to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 1, m: 2}. What is prob of picking 1 d and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-13))\/s)\/(s\/s**22))**(-40\/3) assuming s is positive.\nAnswer: s**(-320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**6\/60 - b**5\/20 + b**4\/8 - b**3\/2 + 4*b**2. Let v be o(-4). Let m = 2863\/15 + v. Is m greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeeo when four letters picked without replacement from {o: 7, e: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 13. Suppose 30 = k*g - 4*h + 6, 5*h = g - 27. Suppose 326 = 4*u - 3*n, -n - 3*n = g*u - 174. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28272 and 263376.\nAnswer: 5004144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384, 411, 436, 459?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -704170 or -704169?\nAnswer: -704169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -29*x**2 - 6*x + 5. What is t(1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/79250 and -19\/800?\nAnswer: 1268000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76931621 and 15416?\nAnswer: 615452968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 - 2*o**2 + 3 + 2*o**3 + 4*o**2 - 4*o**4 in the form k*o**4 + w + v*o**3 + y*o + n*o**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 6, 2\/7, 0, 4, -34715 in descending order.\nAnswer: 6, 4, 2\/7, 0.1, 0, -34715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1943 and -1938 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/3 - 114562*b**2\/3 + 229106*b - 343650 = 0. What is b?\nAnswer: 3, 57275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, h: 9, z: 3}. Give prob of sequence hozz.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*r**4 + 76*r**3 - 112*r**2 + 48*r.\nAnswer: -4*r*(r - 2)**2*(4*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47052 - 26351. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**4\/4 + 49868*m**3 - 6631479885*m**2\/2 + 73486744312382*m + 293960240408771\/4 = 0?\nAnswer: -1, 66491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - -2 - (25 - 27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from nnnlnllnlnnnnnlnnnn.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 3\/80*r**5 - 3*r + 1\/2*r**2 + 0*r**3 + 0 - 7\/48*r**4. Factor k(y).\nAnswer: (y - 2)*(y - 1)*(3*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105921, -106057, -106193, -106329, -106465, -106601?\nAnswer: -106737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 2*c - 16, -5*i + 3*i + 4*c = 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l**3 + l**2 + 2*l + 1. What is q(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 147 = g, 5*g + 224 = -5*a - 181. Let l = a - -81. Calculate the smallest common multiple of 1 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356988302 to the power of 1\/2, to the nearest integer?\nAnswer: 36837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -494 - -41256874.4964.\nAnswer: 41256380.4964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 145600 a multiple of 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24644 - -0.862.\nAnswer: 1.10844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2719\/5, -4\/29?\nAnswer: -2719\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -74809?\nAnswer: 74809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -618 divided by -5?\nAnswer: 618\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -20*g**2 - 5524*g + 11032. Give z(2).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 2*o**2 + 2. Let f be j(-2). Let m(t) = -t**2 - 15*t - 12. Let x be m(-14). Suppose -x*q + f = -4*q. Sort q, 1, -5 in ascending order.\nAnswer: -5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1 + (2 - 5 + 1)*(-4 + 1 + 2) - 4 + 2 + 3)*(2385*t - 3465*t - 1019*t - 3836*t) to v + j*t and give j.\nAnswer: -11870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8864562, -8864561, -8864560, -8864559, -8864558, -8864557?\n\"Answer: n - 8864563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1877, -3756, -5635, -7514?\n\"Answer: -1879*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - -1*sqrt(102)*1 - 2*(sqrt(102) + sqrt(102) + 1*sqrt(102)))\/(sqrt(60)\/(-1*sqrt(10)) + sqrt(6) - sqrt(48)\/sqrt(2)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87 - -84. Sort -4, 0.4, t in ascending order.\nAnswer: -4, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 21*o**3 - 1 - 4*o.\nAnswer: -21*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 16*g + 34. Is w(-14) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106286599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -105, -402, -903, -1614, -2541?\n\"Answer: -h**3 - 96*h**2 - 2*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (857\/(-4))\/(286\/(-468)*(-3)\/(-22)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133668 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -3, -1\/2, -5, 0.062?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4185)\/2106 + 3\/6. Let j be ((-6)\/(-45))\/(1\/(-10)). Let k = j - o. Which is the closest to 4? (a) 2\/7 (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - (-8)\/((20\/(-3))\/10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23670 to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*m - 90, -2*w + w + 232 = 5*m. Suppose 8*h - 10 = m. Solve 8 = -5*r + n, -3*r - h*n + 2*n + 12 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2611*s**2 + s + 7 wrt s?\nAnswer: 5222*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(175) + 3 + (-1*sqrt(175))**2) + 3 + ((sqrt(175) + sqrt(175) + -2)*3 - sqrt(175))**2)*-4.\nAnswer: -20504 + 1120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 583 and 0.126.\nAnswer: 583.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/9 - 6\/27. Let w = 37 - -33. Let r = w - 703\/10. Is r not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 62\/6*21\/14*18. Suppose 229 = 2*n - 5*u, -2*n + 5*u - r = -4*n. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2795, 5200, 7605, 10010, 12415?\n\"Answer: 2405*l + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2076*f - 2409. List the prime factors of l(10).\nAnswer: 3, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5886521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/647, 1\/2, 2\/5?\nAnswer: 4\/647","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.97 + -1191323.56?\nAnswer: -1191328.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -506*b**4*o + 2*b**3*o - 2*b**3 + 2548*b**2*o + b**2 wrt b.\nAnswer: -12144*b*o + 12*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 1928 + 997. Solve 9680*g**2 - 2452 - 3208*g**3 + b*g**4 + 9600*g - 2668 - 1222*g**3 - 24*g**5 - g**5 = 0 for g.\nAnswer: -1, 2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3. Let f be o\/2 - (1 - 4). Suppose 20 = f*j + 2*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) 4 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7.5. Let p = -3\/28 - 1\/56. Which is the closest to 2\/5? (a) p (b) -2\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d218b + -5e5?\nAnswer: d1ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -621 - -644. Solve -3 = -5*z - b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-86)\/(-4) + -3 - 2). Let k = -2243 + 2245. Is l smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**2 - 4*k. Let u = 117 + -113. Let v(a) = 5*a**2 - 3*a. Determine u*v(m) - 3*y(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.2, -60, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -926 times -100?\nAnswer: 92600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.0137, 18, -0.19 in decreasing order.\nAnswer: 18, 0.3, -0.0137, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-59)\/(-3))\/1*24\/(-8). Let f = t + 69. Calculate the greatest common factor of 15 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7104 + -141993\/20. Suppose -3*t + 6*t + 75 = 0. What is the common denominator of (-10)\/t + (-258)\/220 and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -127*t - 6*t**2 + 127*t. Let u(g) = -7*g**2 + 6*g + 6. Let n(q) = 8*q**2 - 7*q - 7. Let y(m) = 6*n(m) + 7*u(m). Give v(y(r)).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**2 + 2*m - 4. Let z(v) = -v**2 + v - 1. Calculate -o(u) + 4*z(u).\nAnswer: 3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lymceyhllllhhhlhemle. Give prob of sequence lymh.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 173429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d + 1. Let h = -5 - -2. Let x(t) be the second derivative of t**3\/6 - 6*t. What is h*x(o) + k(o)?\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2473 is divided by 209.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 at least as big as 893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20096 - 20088. Solve 128 = -20*l + h for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 5. Let d = -17 - -12. Let b(q) = -q**2 - 5*q + 9. Let n be b(d). Let s = n + -13. Determine k(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 233647, 941247, 2120581, 3771649, 5894451?\n\"Answer: 235867*f**2 - f - 2219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/2 + 7\/(-14). Let s(j) = j**3 - 7*j**2 + 2*j - 10. Let m be s(d). Put 13, 3, m in descending order.\nAnswer: 13, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*w**2 - 3*w**4 + 6*w + 2*w**4 + 92*w**2 in the form o*w**2 + k + s*w**4 + z*w**3 + f*w and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36a17 (base 11) to base 12.\nAnswer: 26901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35651 + 35657. Sort d, -7, -15, 5, -5 in decreasing order.\nAnswer: d, 5, -5, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*v - 2*v. Let z = v + -18. Solve m + m = z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -133?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2*h - 7 = 0, 2*a + 478 - 436 = 9*h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 3*f - 6. Let w be k(5). Find o such that -8\/3*o**5 - 2\/3*o - 2*o**2 + 0 + 10\/3*o**3 + 2*o**w = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.67*0.01\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-9 - 16709\/(-1855)))\/((-69)\/(-345))\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2559, -2736, -2921, -3114?\n\"Answer: -4*c**2 - 165*c - 2390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**3 - 1. Let q be g(1). Let f = q + 11. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-8)*((-7)\/(-22) - 0) and 49\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -3.7. Let d = -2 + 4. Let t = -7 + d. Which is the third smallest value? (a) 2 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1722)\/4305*(-2)\/8*13\/91?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 942650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 + 4*b**2 - 106*b + 196. Give s(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 1 + 1 + 0*q + 4*q - 2*q + 61*q + 22*q + 30*q + (-2 + 3 - 3)*(1 + 3*q - 1) + (-2*q + q + 3*q)*(-4 + 4 + 1).\nAnswer: 113*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 45*a + 76*a - 117*a. Let x(i) be the first derivative of 2*i**3 + 3. Calculate x(k(d)).\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47510 - -1900777\/40. Let h = i - -11\/8. What is the common denominator of -1 + (1 - (-53)\/(-5)) and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q + 3. Suppose -10*z - 12 - 48 = 0. Let k(u) = -u**2 - 5*u + 5. Give z*k(x) + 10*g(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d = -20. Suppose -d*n + 3 = -7*n. Which is bigger: n or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 10. Suppose -b*n + 8 = -12. Suppose n*f + c = 319 - 64, 2*c + 190 = 4*f. What is the highest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1048168 and 513248.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 146497, -2 in descending order.\nAnswer: 146497, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4424 by -4.\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*y - 21 = 3*y, 44 = 4*q - 4*y. Solve -5*j + 4*j + 11 = -4*u, 4*j = q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23233028*a**6 + 5584583*a**2.\nAnswer: -2787963360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*i**3*j*o**3 + 2*i**3*j*o + 5*i**3 - 1986562*i**2*j*o**2 + 453*i*j*o + 2*j*o - 428*o wrt o?\nAnswer: 72*i**3*j*o - 3973124*i**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*n + 1854 = -156*n + 5*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16591448.\nAnswer: 2, 31, 149, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -40*f + 171. Calculate z(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/30*-2*-15. Let l(v) = 45*v - 33. Let h(x) = 23*x - 16. Let i(q) = r*h(q) + 5*l(q). Calculate the remainder when i(4) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 6*w**2 - 45*w + 252. Let y be t(5). Solve y*i + 3*f = 1, -9*i - 21 = -6*i - 3*f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -48*n + 31 + 258*n**2 - 128*n**2 + 257 - 128*n**2 = 0. What is n?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29461624 is divided by 1402?\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -2647\/10304?\nAnswer: -2647\/10304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q. Let n(d) = 3*d. Let s(h) = 4*n(h) + 11*y(h). Let o = 7 + -3. Let c(j) = -33 + o*j + 33. Determine s(c(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*r = 3*r + 14*r + 125, -r = 4*o - 209 - 214 for o.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - i + 7, -8*s + 3*s - 2*i + 9 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -88, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53*r + 31*r + 50*r + (-4 - 4 + 5)*(0*r + 3*r - 2*r))*(1 - 1 + 2*r) to s + a*r + l*r**2 and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 1. Let n(s) = 3*s**3 + 2*s**2. Let a(u) = -3*n(u) + 6*o(u). Let l(h) = 3*h**3 + 7*h**2 - 7. Determine -7*a(t) - 6*l(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Let y = 124 + -622\/5. Let f = 10 - 14. Which is the nearest to p? (a) f (b) 3\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404 = -27*z + 298. Suppose n = r + 45, -2*n = 2*r - 57 - 49. What is the remainder when n is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 8. Let c be 1\/2*(-2 + j). Suppose -p + 3 = -c. Solve -2*f - p*i = -10, 6*i = 3*f + 4*i - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5196731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-10) - 18\/(-10). Suppose 0 = 2*a - 1 - 5. Suppose -u + b = -a. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*z + 20*z + 16*z - 2*z**2)*(-z**2 + 4 - 4) as q*z**2 + h*z + n*z**4 + a + y*z**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 + -2) - ((17 - 28) + 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157268696 to the nearest integer?\nAnswer: 12541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -11 + -12 + (-13 - -22) + 42.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997476?\nAnswer: 2, 3, 101, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1490\/1047 or 2?\nAnswer: 1490\/1047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-12)*(-20)\/35.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*d - 357 + 1510 = -1003 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5091*a**3 - 8057*a**2 - 2*a - 1097358771?\nAnswer: -15273*a**2 - 16114*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 50570*q**2 - 2 - 382*q**4 - 2*q**3 - 50576*q**2 + 114*q**4 + q as m*q**3 + o*q**2 + u*q**4 + b + g*q and give u.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w = -57*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6306*d**4 + 3*d**3 + 7*d - 1616.\nAnswer: 75672*d**2 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 - p**3 - p**2)*(230*p + 0 + 1742*p + 0 + 806*p) as o + y*p**4 + m*p**2 + r*p**3 + a*p and give y.\nAnswer: -2778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/1 - (6 + 2340)\/(-6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*g + 29. Suppose 2 = -2*v, -2*v + g = k - v. Suppose 2*r - k*r + 55 = 0. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -r - 2*o, 4*o + 3 = r + 8. What is the lowest common multiple of 4 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**2 - 26324576*n + 43311456348736 = 0?\nAnswer: 3290572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 96001, 95994, 95985, 95974, 95961?\n\"Answer: -y**2 - 4*y + 96006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 8:20 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 12:38 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(1800\/(-81))\/(-8))\/((-39)\/117)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35999269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -25, -48, -79, -118, -165?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(9) + sqrt(14))\/sqrt(2) + -1 - ((sqrt(252) - sqrt(252)*-3) + 0)**2.\nAnswer: -4033 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -925, -3664, -8225, -14608, -22813, -32840, -44689?\n\"Answer: -911*d**2 - 6*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 345*d**2 + 8679*d - 49731.\nAnswer: -3*(d - 11)**2*(d + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -160 (b) 0 (c) 2\/11 (d) -4 (e) -73 (f) -5 (g) 5.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2941 - 8393 = -107*x - 81*x for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69996 by -114.\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - 6. Let l(y) = -3*y. What is l(f(s))?\nAnswer: -12*s + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o - 143. Give n(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7)*q)\/q)**32*q**(-14)\/(q**18\/q) assuming q is positive.\nAnswer: q**(-281\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1772245 and 6025633.\nAnswer: 30128165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10202111122211 (base 3) to base 12\nAnswer: 804271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34*(-133)\/(-38)*1\/7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15504, -15515, -15526, -15537, -15548?\nAnswer: -15559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279378\/495 + -2*3\/15 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 60*g + 57*g - 19 = 0, 0 = -5*g - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -936 at least -217845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1452920*j**5 + 7230851*j**2 - j?\nAnswer: -87175200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k**2 - 11*k**2 + 2*k**2 - 3*k**2 to q*k + h + x*k**2 and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 4*c**2 - 13*c + 2. Let a be x(-6). What is the greatest common factor of a and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, r: 7, e: 1}. What is prob of sequence jerj?\nAnswer: 385\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i + 13. Let l(m) = -8*m + 25. Let o(t) = 3*l(t) - 5*x(t). Calculate o(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -23. Let k(q) = 4 + 0*q**2 - u*q**2 - 2*q**2. Let o(w) = 9*w**2 - 2 - 3 - 2. What is 5*k(c) + 3*o(c)?\nAnswer: 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + (-11)\/3)*(3 - -30). Let c be 88\/p - (-8 - -3). Solve 6*j = 4*j - y + 11, 3*j - 2*y = -c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 3, -2*h + 0*h + 4*d = -8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 + -2. Which is the nearest to -2\/5? (a) -2\/7 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/((-6)\/8))\/(8\/(-36)). What is the biggest value in f, 5, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b - 93. Let w be f(24). Suppose -w*l + 1931 = o, -6*l = -4*o - 2*l + 7756. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + a + 4. Let r be y(0). Let m(v) = 7*v - 10. Let q = -5 - -10. Let u be m(q). Solve -4*c = -3*g - 2*g + 15, r*c = -5*g - u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344, 342, 340?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/18*198\/22.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z + 16 = 0. Which is the third biggest value? (a) z (b) 3 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/6)\/(2\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -24, -54, -96?\n\"Answer: -6*h**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14034 (base 6) to base 9.\nAnswer: -2884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 plus -10.7?\nAnswer: 552.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -53411, -53320, -53179, -52994, -52771?\n\"Answer: -h**3 + 31*h**2 + 5*h - 53446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -504\/11, 1\/5, 1\/3, -0.1, 0.3 in descending order.\nAnswer: 1\/3, 0.3, 1\/5, -0.1, -504\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - i = -3*w + 1, -2*i = 5*w - 20. Let o(k) = 83*k**2 - 3*k + 5. Is o(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 6*z**2 + 3*z - 24. Let w = -118 - -111. Let k be n(w). Suppose k*c - 5 = 51. Is c less than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 493, 1528, 3581, 7162, 12781, 20948, 32173, 46966?\n\"Answer: 85*k**3 - k**2 + 443*k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**4\/12 - h**3\/6 - h + 1. Let p(s) = -25*s**2 - 5*s. Give p(f) - 5*w(f).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdfqf. Give prob of picking 1 f, 1 d, and 2 q.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**7\/1260 - 13*z**6\/1800 - z**5\/50 + 5*z**4\/24 + 3*z**2. Let v(n) be the second derivative of i(n). Solve v(c) = 0.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*l + 9, u + 4*u - 27 = l. Suppose 39*i - 40*i = -u. Solve 2*m - 4*m - i*b + 8 = 0, 4*m + b = 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 10*s + 1. Let i(o) = o**3 + 17*o**2 - 19*o - 9. Let x be i(-18). Give k(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008319 rounded to five dps?\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 8*w + 17. Let d be q(-4). What is the closest to -0.1 in 2, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, 5\/3, 4, 6593?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 10336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 7 = -8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 11, u: 4}. Give prob of sequence uu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (12562\/330 - 38)\/(2\/(-6)). What is the nearest to 0.1 in 1\/6, 1702, h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-3))\/2 + 2. Let y = s + 0. Suppose -y*g - 21 = -4*g. Calculate the greatest common factor of g and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Let y = -238\/3 - -78. Let d = -4 - -3. What is the nearest to d in -1, k, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3205.\nAnswer: 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.09+5.53847\nAnswer: 5.62847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/3, -0.5, -0.4, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 1\/5788550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**4 + d**2 + 1. Let x(n) = -7*n**4 - n**3 + 10*n**2 + 4*n + 6. Let i(v) = -x(v) + 6*z(v). Factor i(g).\nAnswer: g*(g - 2)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.43 - -4.57. What is the smallest value in i, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*4\/(-8)*579\/(-3) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17524 (base 12) to base 13\nAnswer: 12391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -13*w**3 + 5*w - 11. Let p(o) = 6*o**3 - 3*o + 6. What is 3*d(j) + 5*p(j)?\nAnswer: -9*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 - 418*y. Let h(q) = -5*q**2 - 627*q. Determine -8*c(f) + 5*h(f).\nAnswer: -f**2 + 209*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 78877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 533055?\nAnswer: 533062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c**3 - 9*c**2 + 2*c - 6. Let s be y(-5). Let g = s - 540. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31110 divided by -51\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 + -32. Let x = z - 124\/3. Let d = -1360 - -1354. What is the nearest to 0.1 in 0, d, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11407 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -2, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008552738 to five decimal places.\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -9 - 17 - -3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4\/5 (b) -1\/5 (c) -2491 (d) -0.45 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55473202, -55473189, -55473162, -55473115, -55473042, -55472937, -55472794, -55472607?\n\"Answer: p**3 + p**2 + 3*p - 55473207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3\/9 + 6134006*j**2 = 0.\nAnswer: -27603027, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8177466 is divided by 191.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + a365?\nAnswer: a360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 - 8431 - 5680 = -103*k. Calculate the smallest common multiple of k and 1474.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/94 + -2523\/470. What is the common denominator of x and 1\/77?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*g + 226316, g - 5*s + 39757 = -5520. Let p = g - -678466\/15. Let f = p - -31. Which is greater: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/43*91\/7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-9) + 20\/9. Let m be (1\/3)\/((-12)\/108). Let i(q) = -5*q - 13. Let c be i(m). Solve -c = 2*w + x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29721.15961 - -1.\nAnswer: -29720.15961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380342791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2071.38411 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 52341923 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 5415*l**2 + 1954080*l + 234960640.\nAnswer: 5*(l + 347)*(l + 368)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 15 - 25. Let r(a) = 2*a**2 + a - 2. Let y be r(2). Suppose 0 = -c + y + 3. What is the remainder when x is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 239*x**3\/3 + 3*x**2 + 23*x - 129. Find the second derivative of c(k) wrt k.\nAnswer: 478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.143 from -2579522.\nAnswer: -2579521.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*j + 121*j = 1892. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + y)*((2*y - y + 0*y)*(y - 2*y - y) - 9*y**2 + 30*y**2 + 10*y**2) + (-2*y**2 + 0*y**2 + 0*y**2)*(-y - y + 4*y).\nAnswer: 25*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/3*l**5 - 1\/3*l + 0*l**4 + 2\/3*l**3 + 0*l**2.\nAnswer: -l*(l - 1)**2*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1057301*h**3*y + 57*h**3 - 1849*h**2*l - 2*h*l*y + 27*l wrt y.\nAnswer: 1057301*h**3 - 2*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 948.3 + -949. What is the fourth biggest value in 2\/15, 1, 1\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1467950 and 3122730?\nAnswer: 171750150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53202 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*h**3 + 5 - 5)*(6*h + 0*h - h) + (0*h**3 - 2*h**3 + 0*h**3)*(-3*h + h - 3*h) to the form y + f*h**3 + o*h + b*h**2 + r*h**4 and give r.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -360*n. Let d(q) = -1920593*q**2. Determine w(d(y)).\nAnswer: 691413480*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0.2, 0 in ascending order.\nAnswer: -14, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0 - 1\/6*n**4 + 12*n**2 - n - 8\/3*n**3 + 1\/10*n**5. Solve x(j) = 0 for j.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4740439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1278254 (base 11) in base 13?\nAnswer: -5c379b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3854 - 2753. Suppose -f + 3606 = -5*z, 6 = -2*f - 2. Let i = j + z. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.65 - 0.15. Which is the biggest value? (a) i (b) -1 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6300993*i - 6300993*i + 5754*i**2 + (-2*i**2 - 1 + 1)*(-1 - 1 + 0) - 3*i - i**2 + 3*i.\nAnswer: 5757*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.3, 0.32, 0.1822, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 44. Let j = -97 + 79. Let v be n(j). Let u = -5 - v. Solve f = u*f - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178251, 178245, 178227, 178191, 178131, 178041, 177915?\nAnswer: 177747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134404303301 + 3?\nAnswer: 134404303304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 6*l**2 + 9*l - 7. Determine d(-8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*h**4*n + 1474272*h**3*n - 258*h*n - 10*h - 836*n - 1 wrt h.\nAnswer: -624*h**2*n + 8845632*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -121. Let w be (-193)\/(-5) + b\/70. Let c = w + -8. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -523.284 and -1920.\nAnswer: -2443.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000734 rounded to 5 dps?\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920)*-1)\/((sqrt(600)*-3 + sqrt(600) - sqrt(600)) + sqrt(600) - sqrt(600)) - -1*(sqrt(10) - (sqrt(30)\/sqrt(3)*4 + sqrt(10)))\/(sqrt(72)*-2).\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*s - 0*s. Let g(h) = h**3 + 5*h**2 - 8*h. Let c be g(-6). What is the third derivative of -5*o**4 - 23*o**2 + s*o**2 + c*o**2 wrt o?\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -115, -221, -309, -373, -407, -405, -361?\n\"Answer: u**3 + 3*u**2 - 122*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-3443\nAnswer: -1032.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.4 - -1.8. Let y = -0.6 - x. What is the biggest value in -0.2, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-1 - -3)) + -26 - (-55 - -62).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212500 and 2100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 853 - 7?\nAnswer: 84c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 290 = -1523. Let d = t + -82. Solve -8*q = -d + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = c + 6, -3*c - 3*m - 2*m = -38. Solve -5 = -7*f + c*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 718.7 - 714.7. Let o = 3 + -1. What is the second smallest value in m, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3501 is divided by 3250\/(-3900) + 19\/(-12)*-22?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57497.1 - 61014. Round p to the nearest 10.\nAnswer: -3520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 10:30 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 - 24606*m\/5 + 68073004\/5.\nAnswer: 2*(m - 8102)*(m - 4201)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/70235 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**2 - 295*s + 2310 = 0. What is s?\nAnswer: -66, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, -0.4, 19, 1, 14, -3\/8 in ascending order.\nAnswer: -6, -0.4, -3\/8, 0, 1, 14, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6052?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -28, -0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1053 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.0289 decades to months.\nAnswer: 6003.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 50.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftt when three letters picked without replacement from tttfntttnntttttntfn.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 3) + -3 + (-5 - -6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2860303)\/(-299) + (-15)\/65.\nAnswer: 2, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -44*z + 13 + 24*z + 27*z. Let t(d) = 2*d + 4. Let c(s) = s + 2. Let i(v) = 15*c(v) - 6*t(v). Calculate 13*i(f) - 6*r(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3 + 1732*j**2 + 74698*j - 608440 = 0. Calculate j.\nAnswer: -820, -53, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 6*b**2 + 6*b - 7. Let v be j(5). Let n(i) = 4*i**3 + i - 2. Let p be n(v). Let k = 63 + p. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 10001021101?\nAnswer: -10001021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u**2 + 4. Suppose -108*j = -102*j + 24. Let a(r) = 63*r**2 - 27. Give j*a(l) - 27*b(l).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 3*c - 24*c**4 - 14*c**4 - 2 + 4*c**2 - 3*c**2 - c**3 + 3*c**2 as d*c**4 + q + w*c + n*c**3 + m*c**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 9.395549.\nAnswer: 9.895549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/9 - 38*t\/9 + 80\/9.\nAnswer: -(t - 2)*(t + 40)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 56509*x**2 + 35*x - 6. List the prime factors of a(1).\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d**3 - 2*d**3 - 4*d**3.\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93271 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*h - 1299 + 1299 - 181*h - 434*h**3.\nAnswer: -434*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-1) + 3 + 2. Let w be (-1)\/3 + 48\/b. Solve -w*j - 45 = -5*z, -2*j + 0*z - z = 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8536\/(-8184) - (2 + 7\/(-3))\/1 and -39\/40?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 31*p**2 - 1. Let m(i) = -i**2 - 6345*i - 39. Calculate m(y(r)).\nAnswer: -961*r**4 - 196633*r**2 + 6305","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -3256 and -4874 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeteewjgee. Give prob of sequence tje.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-11))\/((-16)\/(-256)*-12*608\/66)\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7419 + 622642 = 7*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/(p*p**4)*p*p)**(2\/7))**(-1\/60))**(8\/3) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1414125 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76283923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 0.07 (c) -4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.232 - 15.5. Let k = b + 0.26679. What is k rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/6 - -1)\/(76 + 23562\/(-297)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g - 22. Suppose 0 = 48*x + 3459 - 3267. Give n(x).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 2*f**3 - 2*f**3 + (f**3 + 0*f**3 - 2*f**3)*(-13*f - 14*f + 12*f).\nAnswer: 17*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -521*b**8\/168 - b**6\/120 + 143*b**4\/12 - b**2 - 3339. What is the second derivative of x(p) wrt p?\nAnswer: -20840*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6953134 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 66\/(-13)) + 16\/(-39).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 202, 216?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 49 + -9 + 18 + 5 + -10 + -7?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7}. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*y + y + 3*s, y - 4*s = -13. Suppose -4*r - y = w - 14, 0 = -3*r - 2*w + 2. Solve -r*l = -5 - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -22?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -2.27.\nAnswer: -0.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(242) + sqrt(242) + 0)*4 + (-1*1*sqrt(242) - sqrt(242)))**2.\nAnswer: 396*sqrt(2) + 8721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 14 = 2*g, 2*g + 4*d - 14 = 10. Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -1 - 15. Suppose n - 2 = 0, -4*r + 4 = -3*r + 2*n. Suppose r = 4*v - 9 - 7. What is the highest common divisor of v and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-2*-5)\/(sqrt(891)*-2)*3)**2*-1.\nAnswer: -475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338425 is divided by 12277?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*z + z - 3*z + (14*z - 7*z - 2*z)*(3 + 0 - 1))*(8*z**3 + 23 - 23).\nAnswer: 200*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 422 - -103?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101100101111000011 + 11?\nAnswer: -11101100101111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 46*x + 252. Let z(w) = 21*w + 125. Let f(t) = -4*c(t) + 9*z(t). Let r be f(-20). Solve 8*s - r = 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = -0*m. Suppose -m = -a - 0*a. Solve -t = a*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -10*g**6\/3 + 68*g**5\/5 + 44*g**4 - 80*g**3\/3 + 15. Let x(i) = 0. Calculate i.\nAnswer: -2, 0, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -5, 13, 8 in decreasing order.\nAnswer: 13, 8, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 18) + -1 + (2 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 18 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - k - 50 = 2*y, -20*k = 62*k + 129*y - 133*y - 190 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -22\/9*p**4 - 60*p**2 - 1936\/9*p**3 + 0*p - 1\/90*p**5 + 0. Factor s(f).\nAnswer: -2*(f + 44)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/210)\/((-42)\/(-588))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -609.32 + 0.2\nAnswer: -609.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18*16 + -2)*(-3)\/(-3). Round q to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 76*y**6 + y**4\/2 + 4*y**3\/3 - 5*y**2 - 281. Find the third derivative of s(u) wrt u.\nAnswer: 27360*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.4? (a) 11 (b) 1\/4 (c) 2\/7 (d) 1\/2 (e) 0.084\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 247*o + 84. Let g be r(-2). Let i = -383 - g. Calculate the remainder when 36 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-20))\/o)\/(o*o\/(o\/(o*o\/(o**(-2)\/o)))))\/(o**26*o**4) assuming o is positive.\nAnswer: o**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - 3*z**2 + 2*z**2 + (-10*z**2 + 9*z**2 - 4 - 30*z + 32*z)*(1 + 0 + 1) in the form i*z + o + p*z**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.355493295 and -0.4.\nAnswer: -2.755493295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 8. Suppose 5*v - k = 6*v. Let n(g) = -3 - 13*g**3 + 0*g + 14 - 5 - g. Let u(w) = -4*w**3 + 2. Give v*n(h) + 7*u(h).\nAnswer: -2*h**3 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 5*y + 12, 0 = 5*p + 3*y - 52. Suppose p*r + 6*r = 10402. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6843 - -6878. Solve -18*p - q*p - 371 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -9 (c) -1\/5 (d) -6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 106. Determine g(33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**5 - 608*u**4 + 22456*u**3 + 51760*u**2 - 168476*u + 94864 = 0.\nAnswer: -4, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-40))\/(4\/10). Is (-1 + j\/4)*-188 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 2. Suppose -5*i + 20 = -5*d, 0*d + 3*d = -12. Suppose 0 = -i*w - 2*w - 2, -2*w + 18 = -5*t. Let q be g(t). Solve -4 = -q*u - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -307 + 324. Let f(h) = -3 - 8*h**2 - 2*h - 6*h + h + 15*h - 3*h. Let k(g) = -3*g**2 + 2*g - 1. Calculate o*k(w) - 6*f(w).\nAnswer: -3*w**2 + 4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11190435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9722414 and -323.\nAnswer: -9722737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-234)*-14*600\/(-9100)?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56045 and 90.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*r - 7*r - 0*r + 68*r. Solve r = 210*q - 265*q + 440 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxwwbqtwtwbt. What is prob of picking 1 q, 1 x, and 1 t?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*f**3*r**2 - 11*f**3 - f**2*j*r + f**2*j - 10*j*r**2 - 2 wrt r.\nAnswer: -72*f**3*r - f**2*j - 20*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*z - 4*b, 4*z - 5*b - 3155 = -3178 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*j = 10, -3*j - 3 = 2*i + 8. Let m = 21 - 30. Let b be m*2\/(-4 + 2). Solve -b - 1 = -i*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 64\/(-12)*42\/8. Let m = n - -68. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7)*m\/((m\/m**6)\/m*m)*m\/(m\/(m**(-10\/7)*m))*(m*m\/m**(-5))\/m assuming m is positive.\nAnswer: m**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/36156 and -71\/184.\nAnswer: 72312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -10228.\nAnswer: -5114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0) + (-20)\/28. Let p be (-4)\/(-18) - 35\/63. Let g(q) = q**2 - q - 4. Let r be g(3). What is the closest to s in p, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105*o - 150*o - 83*o + 95*o - 17*o**3 - 28*o**3 wrt o.\nAnswer: -270*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/15*10\/(40\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/4, 2, 4\/7, 4, 2\/31, -65, 3?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57? (a) 0.9 (b) -5 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 8*b**2 - 3*b. Suppose 4*c = w + 3, 2*w - 4*c - 2 - 4 = 0. Let k(h) = -3*h - 13. Calculate the remainder when i(w) is divided by k(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d - d**2 + 3*d**2 + 76 - 82. Let i be w(6). Suppose 2*t + t - i = 0. What is the remainder when 39 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*h**4 + 7*h**3 + 482*h**2 - h wrt h?\nAnswer: 312*h + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f**3 + 2521108*f**2 + 4411996*f - 1260568 = 0. Calculate f.\nAnswer: -2, 1\/4, 157571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 168215 - 168215 + 1949*j + 0*j - 5*j + 3*j + (3*j + 0*j - 4*j)*(0 + 1 - 3) + 5*j + 2*j - 5*j.\nAnswer: 1951*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 25 = 5*o, 2*t + 462*o = 459*o + 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**11*b)\/b**(-4)*((b\/b**10)\/b*b)**8 assuming b is positive.\nAnswer: b**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*b**6 - 595*b**5 + 5*b**2 - 10967*b.\nAnswer: 5280*b**3 - 35700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 188950\/780*(-1)\/25. Let h = n + 7\/78. Which is greater: h or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x - 103 + 323 = 0. What is the third derivative of -184*q**3 - 19*q**2 + x - 112*q**2 - 10 wrt q?\nAnswer: -1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 3*y**2 - 4*y + 2. What are the prime factors of s(6)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2 - 5*g + 8*g - g**2 + 2*g. Determine i(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 2:44 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4639295?\nAnswer: 5, 317, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 9*r**2 + 3*r - 19. List the prime factors of x(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 53?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5119*17\nAnswer: 87023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1446 - -1448. Let h(w) = w**2 + 8*w + 8. Let f be h(-7). What is the nearest to f in i, -6, -4\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 27*u - 184 + 181 - 28*u. Let i be (-26)\/10 + (-6)\/15. Calculate f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229006 is divided by 1789.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**8\/3360 - t**7\/700 - t**6\/1200 + t**5\/200 + t**4\/120 + 26*t**2 - 7. Let c(u) = 0. What is u?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/26 and 77\/36?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -2)\/((-4)\/20). Let l(j) = j + 17. Let v be l(a). Suppose -v*r = -3*r + 21. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.024824 or 1721.6?\nAnswer: 0.024824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/3*(-234)\/(-65). Let x = m + 65. Solve 2*r - d = 4*d - 12, x*r = 3*d - 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -1) + -10 + 34 + -17.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160762455?\nAnswer: 3, 5, 7, 17, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0 = -3*i + 3, 2*i - 2 = -5*b. Let r(j) = 4 + j + 3*j - j + b*j. Determine r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5817, 6127, 6435, 6741, 7045, 7347?\nAnswer: 7647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 25*z + 10. Let u(t) = t + t**2 + t**2 - t**2. Let d(x) = j(x) + 20*u(x). Factor d(q).\nAnswer: 5*(q + 2)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380.79 rounded to the nearest 10?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 8*f + 11. Let k be 12*((-2)\/6 + 1). List the prime factors of o(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3827 + 2133. Does 1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 21*w**2 - 48*w - 69. Let r be f(18). Suppose 0 = 3*g - r*g + 60876. Calculate the highest common divisor of g and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -4 (c) -3 (d) 44\/5 (e) 1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 107*x + 566*x)*(0 + 1 + 0)*(29 - 29 - 17*x**3).\nAnswer: -11424*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i**2 - 3701*i**3 + 3*i**2 - 3679*i**3 + 11048*i**3 + 6*i**2 - 3763*i**3.\nAnswer: -95*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 - 32*r**2 - 13*r + 14. Give z(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 + 0 + 0 + (-106 + 8*q**2 + 106)*(40*q - 40*q - 9*q**2) + 3*q**4 - 5*q**4 + 4*q**4 to g*q**4 + z + l*q + y*q**2 + s*q**3 and give g.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21 + -4f2cbd?\nAnswer: -4f2cde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 40\/7, 0, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 86760?\nAnswer: 86760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*w + 326 + 510. What is the least common multiple of 32 and w?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 165, 269, 373, 477?\n\"Answer: 104*x + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 plus 0.6889894267?\nAnswer: -146.3110105733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2209\/45 - -49. Calculate the common denominator of -13\/105 and r.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3761250, 1, 12, -5, 3 in increasing order.\nAnswer: -5, 1, 3, 12, 3761250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 354569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/18 and 23\/58?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/9)*r)**(7\/12)*r**0*r*(r**(-13)\/r*r)\/r)**(-21) assuming r is positive.\nAnswer: r**(9289\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2.1 (b) -90\/11 (c) -3 (d) 26 (e) 1\/37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b000 (base 13) to base 9.\nAnswer: 662420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p - 636 = 40*p - u, 6*p + 5*u = 968. Solve 5*f - 5*o - 25 = 0, 162*o - p*o = -4*f + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m. What is the remainder when (-4)\/12*m + 27 is divided by 9 - (-1 - (3 + -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8736 divided by -182?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13083)\/441 - (-43 - (-5 - -2)).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 10222 - 3346 = 4*m, -2*i + m = -6782. Let w = i - 1872. Let a = w + -1031. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i*j**2 + 1338884*i*j + 3*i + 3598127*j**2 + 3*j wrt i?\nAnswer: 2*j**2 + 1338884*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/2)*d)\/(d**(4\/5)*d*d))\/((d**(-3)\/d)\/(d**(-2)\/d)) assuming d is positive.\nAnswer: d**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 + 6818270*f.\nAnswer: -2*f*(f - 17045675)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193077265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 1:16 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 195560*k**3 - 413949*k wrt k?\nAnswer: 1173360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9841.515 years to decades.\nAnswer: 984.1515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/4 of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1101561 and 283926.\nAnswer: 1797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -26. Suppose -r = -0*w - 3*w. Factor w*d**3 - 10*d + 2*d**3 - 3*d**5 + 7*d.\nAnswer: -3*d*(d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0684 - 50.9316. Let h = z + 113. Which is the biggest value? (a) -5 (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55633*d + 2*d**3 + 55633*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 20*m - 16. Let h be a(-16). Suppose 0 = 6*u - h - 72. What is the remainder when u is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, t: 4, f: 1, o: 7}. What is prob of picking 2 o, 1 f, and 1 k?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(4\/33)\/g))\/(g\/(g*g**(-4))) assuming g is positive.\nAnswer: g**(-37\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -54.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 3:03 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/274 - -133\/1096. Let a(s) be the first derivative of 0*s + 8 - 1\/12*s**3 - c*s**2. Factor a(u).\nAnswer: -u*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 2:42 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -3320767 and -3320762 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11\/2, 0.2 in decreasing order.\nAnswer: 4, 0.2, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 12*l**2 + 14*l - 10. Suppose q - 1331 = -4*s, s + 15 = -2*q + 346. What is the least common multiple of s and i(13)?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591980 to the power of 1\/2, to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 11 = 5*w. Suppose -9 = -j + n, 5*n = -j - 16 - w. Solve 0 = 2*v - 0*m - m + 9, -j*v - 23 = 3*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 945*c - 240 = 939*c. Let t(y) = -y**3 - 5*y**2 + 2. Let h be t(-5). Suppose -h*u - c = -10*u. Solve -3*s = -8*s + u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -14*z**5 + 27894*z**4 - 427500*z**3 + 925580*z**2 - 680166*z + 154206 = 0.\nAnswer: 3\/7, 1, 13, 1977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 86950779 a multiple of 633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8*((-15)\/(-4))\/5. Let o be -24 + 28 + 8*s. Calculate the highest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 3, -2, 1, -19, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -40 (c) 1\/2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (4 + -6 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 5\/4*b**4 - 63 + 60*b + 70\/3*b**3 + 125\/2*b**2. Suppose l(x) = 0. What is x?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*t + 94*t + 152*t)*(5*t**3 - 1 - 2*t**3 + t**3).\nAnswer: 1112*t**4 - 278*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 11*k + 1. Let v be x(1). Let a be (2 - 0)\/2*3. Suppose a*b = 4*c - 0*b - 189, -c = 3*b - 51. Calculate the highest common factor of c and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 27*o - 164. Calculate q(-15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 + 3*s + 3. Is 25 a factor of d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(-2 + 4)\/(-6). Let k(q) = 2*q**2 - q - 1. Calculate k(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 35 - 1. Suppose 9*s + z = 11*s. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5 + 1080*y**4 + 450741*y**3 + 10384110*y**2 + 80631612*y + 205898760 = 0 for y.\nAnswer: -230, -9, -6, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 16*w + 314. Let z(t) = 3*t - 1. Determine -l(r) - 5*z(r).\nAnswer: -r**2 + r - 309","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 198489281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 divided by -46?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24\/61 + 349\/732. Let h(m) be the third derivative of -15*m**2 + 0 + 0*m + 1\/6*m**3 + w*m**4. Calculate h(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 6. Let n be z(5). Is 284*(49\/n)\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-4)\/(-6)) - 1. Let f(a) = a + 15*a**w + 0*a - 14*a**2 - 1. Calculate f(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33484 = 5*q + 2*n, 0 = 9*q - 6*q + n - 20090. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18247957 by 2606851.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 589694600 rounded to the nearest one million?\nAnswer: 590000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535*q + 1078*q - 543*q - 21*q**2.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -306 + 338. Calculate the remainder when 81 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 10:40 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*h - 56*h + 537 - 201 = 0 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10728707 and 363.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2473*l**2 + 209*l - 4?\nAnswer: -4946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 20*b + 126. Let r be z(-6). Sort 2, r, 5, 4.\nAnswer: 2, 4, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20731 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19095 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -19*v**3 - 3*v**2 + 4. Let r be n(-3). Suppose 0 = -5*j + 145 + r. What is the remainder when j is divided by (-1)\/(-2 - (-63)\/32)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 158*y + 207*y - 21*y + 381*y in the form x*y + d and give x.\nAnswer: 725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b + 28*b + 2*d + 21124 = 0, -d = 4*b - 42283. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - y + 10. Let k be x(0). Suppose -4*n - n = s - 14, 5*s = 5*n + k. Let z(w) = 10*w. Let r be z(n). Solve -r = -5*u + u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - 2*r)*(2*r - 2*r - r)*(-5 + 5 + 3*r + (2*r + r - 2*r)*(1 - 3 + 0)).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 8. Determine v(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 - 738340*l**2 - 34235308800*l - 15088855122000 = 0.\nAnswer: -92070, -445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*g - 19 - 39, -2*j + 49 = 5*g. What is the remainder when j is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512820 a multiple of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 11. Let z be ((-2)\/6)\/(w\/(-54)). Suppose -2*k + 17 = -5*n, -z*n = 3*k + n - 60. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1823919242789 from 0.01.\nAnswer: 1823919242789.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 5*o = -10*q + 4, 6 = 2*q + o. Sort -87, -4, q in increasing order.\nAnswer: -87, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) 1\/626 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u\/u**(6\/11)*u*u**(3\/10)*u**(1\/2)*u)**21 assuming u is positive.\nAnswer: u**(-2016\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - 2*14\/(-8). Which is the third smallest value? (a) -5 (b) g (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-77))\/(3825\/165 + -26)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/2 - 82*j**3 - 5593*j**2\/2 - 21848*j - 33174 = 0. Calculate j.\nAnswer: -19, -9, -2, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1709 - 1709 + 57*l**2)*(2*l - l - 6*l).\nAnswer: -285*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2 + 4*w + 5. Give f(4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i + 20*i + 25*i as m*i + l and give m.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - -41) + (82\/36 - (-86)\/387)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p - 3. Let l be d(-2). Suppose 0*t = -4*t + 40. Let u be (-10)\/(-6) - ((-2)\/(-8))\/(642\/(-856)). Solve u*j = l*j - t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 12:53 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 + 14*z**2 + 22*z**2 - 2 + 12*z**2 in the form p*z + m*z**2 + r and give m.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1905587 to 2 dps.\nAnswer: 2.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48296, -48266, -48240, -48218, -48200, -48186?\nAnswer: -48176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 0.5 (b) -0.4 (c) -2\/271 (d) 7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 177*a**4 + 159.\nAnswer: 708*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 5*q**2 - 6. Let l be i(-6). Suppose -5*z - z = -126. Suppose -z*d = -20*d - 12. Calculate the greatest common factor of l and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 u, and 1 e when four letters picked without replacement from oukdoeuouukoko.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/o**(-2\/5))**40\/(((o\/((o*o*o**(-4\/3)*o)\/o))\/(o*o\/o**6))\/((o*o*o**(-5))\/(o*(o*o**(-3))\/o))) assuming o is positive.\nAnswer: o**(512\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53185*i*k**2 + 61173*i + 2*k**3 with respect to k.\nAnswer: -106370*i*k + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -20*z**3 - 108*z**2 + 240*z + 112 = 0.\nAnswer: -7, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3 + 17486*t**2 + 38228766*t + 38211282 = 0.\nAnswer: -4371, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/16 and 2*-1 + 26\/(-5).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyhqhp. What is prob of picking 1 h and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-seven fifths of a milligram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -196, -159, -102, -25, 72, 189?\n\"Answer: 10*k**2 + 7*k - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**2\/2 + 11959*x + 143017681\/2 = 0?\nAnswer: -11959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1638837*u**2. Let b(n) = 12*n. What is b(x(l))?\nAnswer: 19666044*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 1\/2*z**3 + 3\/4*z**2 + 0*z + 1. Suppose t(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -6, 14, 36, 60, 86, 114?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, a: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1810, -7309, -16466, -29275, -45730, -65825, -89554, -116911?\n\"Answer: q**3 - 1835*q**2 - q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z = 12. Let g be ((-30)\/4)\/(z\/16). Let r = -10 - g. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30683? (a) 72 (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11.1*-0.2\nAnswer: 2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-1))\/(77\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10203 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -37*j - 54 - 534 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 2*c + 5. Let s = -4 - 0. Let j be f(s). Let n(i) = -i**2 - 5*i + 9. Let g be n(-7). Put j, g, 3 in descending order.\nAnswer: 3, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 68*t**2 - 4 - 5*t + 3*t + 70*t**2 + 4*t**3 to j + h*t**3 + u*t**2 + l*t and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8565, 12930, 17289, 21636, 25965, 30270?\nAnswer: 34545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 0 - 1 + 1 + 2 + 28*m. What is the remainder when 83 is divided by n(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10}. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146*p**4*z + 2*p**4 + 9*p**2*z - 24*p*z - 2*z - 75 wrt p?\nAnswer: 1752*p**2*z + 24*p**2 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/4)*g)\/g)**21\/(g**1)**(-32\/7))\/((g**(-1\/6)\/g**(-3))\/(g*g\/(g*g**(2\/3))*g)**(2\/45)) assuming g is positive.\nAnswer: g**(26639\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 8. Let z be f(11). Suppose z*o = 9*o + 365. What are the prime factors of o?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 0) + (35 - 38) + 1\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -57281\nAnswer: -1\/57281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 652 and 1467?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -214.8 and -823.\nAnswer: 176780.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3688\/28 + 4\/14. Let c = -29 - -41. What is the greatest common divisor of c and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -74, -104, -156, -236?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -25. Which is the nearest to -1? (a) 3\/2 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 - 5556*l**2 - 921564*l - 2714796 = 0.\nAnswer: -1197, -189, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {d: 1, z: 2, u: 2, s: 1, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 4, 5, -2 in decreasing order.\nAnswer: 5, 4, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6 - 4. Suppose 4*c + g = 3, 0*g = -u*g - 5. Let d(r) = 29*r**3 + r**2 + r - 1. What are the prime factors of d(c)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0, 1\/5, 0.343, -4\/9?\nAnswer: 0.343","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + u + 1)*(-20 + 5*u**2 + 11 + 8).\nAnswer: 5*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -813469*v**2*w - 546775*v**2 with respect to w.\nAnswer: -813469*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 468544323 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyyuyvvuvyvyvvuvuuuu. Give prob of picking 1 v and 2 y.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6727 - 69?\nAnswer: -6794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 - 2995\nAnswer: -2996.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(190)*5)\/sqrt(10).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 77*w**2 + 4*w - 9. Let v(a) = -154*a**2 - 7*a + 17. Calculate 11*n(h) + 6*v(h).\nAnswer: -77*h**2 + 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**5 + y**2 - y - 1. Let p(d) = 4*d**5 + 6*d**4 + 2*d**3 - 8*d**2 - 2*d + 2. Let j(n) = 2*o(n) + p(n). Factor j(l).\nAnswer: 2*l*(l - 1)*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by 2043?\nAnswer: -31\/681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 41688313 to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 740.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 48*x**2 - 44*x + 104. Determine g(-49).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 22 + 32 = 0, -2*c + 2 = 2*o. Solve 5*h = -5*y - 5, -y + 2 = o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n + 2*n. Suppose 0 = i - n - 9. What is the remainder when 9 is divided by (16\/i)\/(1\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/28 and -51\/4036.\nAnswer: 28252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/166510128 and -17\/69379220?\nAnswer: 832550640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 22*o**2 - 19*o - 15. What is the tens digit of h(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217*(-13)\/(-260) + (-121)\/(-11)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 749 - 497. Let a = 252.16 - f. Suppose -1 = 5*k - 26. What is the nearest to 0.3 in a, 4, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124 is divided by 95.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*j - 8979878 = -3371890, -4*m + 3*j + 5607991 = 0. What is m rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*x - 0. Suppose -2 - x = -5*b. Solve -z + z**2 - 4*z**b + z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 0 in decreasing order.\nAnswer: 6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -608, -607, -606, -605, -604?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/929 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -702*w + 703*w - 29, 0 = 3*w - 2*f + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -5. What is the nearest to 0.3 in r, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -1, -248 in descending order.\nAnswer: 6, -1, -4, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4859\/15 - -324. Let c(h) be the third derivative of 0*h**4 + 0*h + 0 - i*h**5 + 4*h**2 + 1\/6*h**3. Differentiate c(g) wrt g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -1 + 43. Solve -z*y + 22 = -8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.1 - 11. Let j = 28 - 139\/5. Which is the nearest to p? (a) -2 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-28))\/((-558)\/(-94395)*29).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 395793989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 11 - 3*o**2 + o**2 to the form y + w*o**2 + b*o and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3139.03347 to zero decimal places.\nAnswer: -3139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 42 = 4*w - 15*v, -30 = -5*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 1668852*t**2 - 2*t + 1668852.\nAnswer: 2*(t - 834426)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.15219 from -163.\nAnswer: -163.15219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:35 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18682, 37192, 55528, 73690, 91678?\nAnswer: 109492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -2*i**2 - 2*i - 1. Let k be c(-2). Let p = -5 - -9. Solve k + p = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 - 6 = 0. Suppose 3*q - 3*f + 6 = 0, i = -3*q + f + 1. Suppose q = -5*v - 5*v + 4*v. Solve v = c - 2*c + 4*d - 3, 0 = -c + d + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220102323 (base 5) to base 11.\nAnswer: -592a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Suppose 2*i - d - 6 = 0, -3*i + d + 4*d + 2 = s. Suppose -i*t - 42 + 198 = 0. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-1\/36)\/(l**(1\/4))**16*(l\/l**(1\/8)*l\/l**(-7))**(-18) assuming l is positive.\nAnswer: l**(-1474\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13850.512 + 13726. Let x = u - -125. Let f = -0.31 + x. Round f to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*t - 3*i, i + 1 + 12 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(24\/(-18)) + 684\/(-190).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 41*d**2 + 115*d + 43. Let l be n(-38). Solve l*s = 4*s - 3, 4*s + 14 = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p + 16 - 16.\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 6*p**2 + 2*p - 4. Let b be j(1). Solve 0 = 5*a - 3*v - 23, b*a + 4*v - 2 = 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3\/5 - 8*f**2 - 234*f\/5 - 396\/5 = 0.\nAnswer: -11, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*z + 5. Let w(j) = -2*j**z + 3*j**2 - 2*j**2. Let a(t) = -13*t. Calculate a(w(n)).\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 8. Suppose 0 = -b + 7 + 10. What is the remainder when b is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41959, 4\/7, -91, -2\/5 in ascending order.\nAnswer: -41959, -91, -2\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -2, 6475 in ascending order.\nAnswer: -2, 1, 5, 6475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmmgamaamaaammaga. What is prob of sequence ag?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + -1 - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(-1*sqrt(95) - sqrt(95))*-5)\/(sqrt(500)*2*-4)*1*-1.\nAnswer: 25*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 251?\nAnswer: -12\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 16052.\nAnswer: -3\/16052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.48 * -163.5406.\nAnswer: 242.040088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 4*d + 4*d)*(62*d**2 + 64*d**3 - 55*d**3 - 59*d**2 + 1).\nAnswer: 9*d**4 + 3*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -19. Let p = m + -25. Factor 1\/5*y**2 + 0 + 1\/5*y**3 - 1\/5*y**4 + 0*y - 1\/5*y**p.\nAnswer: -y**2*(y - 1)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612 = -2*q + 8*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4590, -4520, -4448, -4374?\n\"Answer: v**2 + 67*v - 4658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 82 = 5*j - 257, -4*j + 3*x + 126 = 0. Let q = j - 19. Calculate the remainder when 41 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {w: 1, q: 2, t: 1, k: 1, z: 1, p: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 r, and 1 g when three letters picked without replacement from {r: 2, u: 1, e: 3, s: 1, h: 5, g: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.56 rounded to 0 decimal places?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 305.2 * -115238.\nAnswer: -35170637.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 take away 42076.04739?\nAnswer: -41870.04739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*u - 28, 0 = 5*b + u - 4*u - 35. Let v(c) be the first derivative of -c**3\/3 + 3*c**2 - 6*c + 8096. Determine v(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73756206 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {w: 5, p: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-150))\/(430\/(-430))\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1291 + -5243?\nAnswer: -6524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.2803 millennia in months?\nAnswer: 2631363.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 - 8*q**2\/5 - 78*q\/5 - 108\/5.\nAnswer: 2*(q - 9)*(q + 2)*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/872500 and 133\/785250.\nAnswer: 7852500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -3784151 and -3784151 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 - 4*p + 2. Let v(o) = -3*o**2 + 5*o - 2. Suppose 9*t = 52 - 16. Give t*v(b) + 5*g(b).\nAnswer: 3*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10502 - -10501.92. Which is the closest to -3? (a) h (b) 2 (c) -1\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -13*t**5\/20 - 5*t**4\/4 - 19*t. What is the third derivative of w(f) wrt f?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9313 divided by 11936?\nAnswer: -9313\/11936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25742.\nAnswer: 2, 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58911 is divided by 62.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9900583 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 602*p - 106978. Calculate l(178).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15317542 divided by 5\nAnswer: 15317542\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from {m: 1, i: 2, t: 1, q: 2, u: 1, o: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + -4 + 6 - 12. Let m be (14\/98)\/((-12)\/q). What is the second smallest value in -4\/5, m, 5, -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b2 (base 12) to base 3.\nAnswer: -10100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/((-1)\/(-4)). Let m = 2\/1229 + -7388\/8603. Let c = -12 - -7. Put m, c, w in descending order.\nAnswer: m, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58229604.\nAnswer: 2, 3, 19, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*r - 64 = 0, -35*t = -281*r + 294*r - 508 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 4889*b + 1803774.\nAnswer: (b + 402)*(b + 4487)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 0)*(-1 + 2*d + 1)*(-6*d**2 - 22*d - 10*d + 30*d - 6) to the form z + a*d + m*d**2 + y*d**3 and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.96 + -0.04. Let o = -7.9 - m. What is o rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -3, 1193*n - 10*r - 12 = 1197*n - 3*r - 3*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -135*a - 21. Let l = 374 - 382. List the prime factors of t(l).\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068258 times -158?\nAnswer: -10.784764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-3))\/((-8)\/(-36)). Suppose -b*d + 5*s - 1 - 5 = 0, 3*d = 3*s. Solve -5*i + 14 = -5*x + 39, 7 = -i + d*x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/10)\/(16\/10 - 2). Let r(v) = 2*v**2 + 2. Let y(z) = z**2. What is u*y(b) + r(b)?\nAnswer: 4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 - 2*d**2 - 136*d - 4. Let l(k) = -4*k**3 - 2*k**2 - 146*k - 5. Calculate 5*j(s) - 4*l(s).\nAnswer: s**3 - 2*s**2 - 96*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 629, -0.5, 0.5, 1, 5.6, -3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 77. What is the highest common factor of f and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, 881, 3368, 8203, 16172, 28061, 44656?\nAnswer: 66743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in -3, -8.76, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136676?\nAnswer: 2, 47, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1509906 and 28.\nAnswer: 21138684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34900 divided by -6980.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1280 = -5*p, 4*p + 603 = 5*o - 672. What are the prime factors of o?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 2\/((-170404)\/111366). Let x = -2\/3277 - j. Calculate the common denominator of (2\/5)\/(8\/58) and x.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376*-570.8.\nAnswer: 214620.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 674431601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/3801 and 32\/33?\nAnswer: 41811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 768393643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 769.\nAnswer: 307.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Let o be 15 + -6 - 2*v. What is the highest common divisor of 35 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 2 + (-4 + 1 + 4)*(-2 + 1 + 2) - 4 + 1 + 11)*(9*n**2 - 9*n**2 - 8*n**2) as s*n**2 + y*n + m and give s.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-2)*(1 + 1). Let d be ((3\/9)\/(-1))\/((-4)\/12). Suppose y - u = -k + d, -6 = -3*k. Solve y = 2*m + 5*o + 8, 2 = -o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 8*y**2 - 7*y - 6. Is k(9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.36 * -1994723.\nAnswer: -718100.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 221221111001021 (base 3) to base 12\nAnswer: 474ab37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119694\/101 smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 - -88.39. Round g to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m + 54*m = 524. What is the remainder when 2224 is divided by m?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 5*g + 38, 545*u - 542*u + 39 = -3*g for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) -0.4 (c) 2\/7 (d) 0.3 (e) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -132, -3*o - 9*p + 1525 = -7*p + 704 + 733 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327345075.\nAnswer: 3, 5, 911, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 7*y**2 - 19*y**2.\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4305?\nAnswer: 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3287 divided by -1.\nAnswer: 3287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 436\/4 - (6\/(-3) - 1). Let w = -110 + t. Solve -3 = w*m - 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4390 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -185338 (c) -3 (d) -1\/6 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1968)\/(-198) - (-20)\/330. Solve -c*u - 28 = -6*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2*b + 6 + (2 + b - 2)*(0 + 1 + 1))*(5240 + 17*b**3 - 5240 - 5*b**2).\nAnswer: 68*b**4 - 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26.1, -1, -2\/169 in ascending order.\nAnswer: -26.1, -1, -2\/169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from {q: 4, l: 6, g: 10}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 11\/12*m**4 + 0 - 3*m**2 + 4*m + 0*m**3. Find the first derivative of d(a) wrt a.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.679573 to 1 dp.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 222 = 46. Which is greater: n or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2 - 79413*x - 79412 = 0. What is x?\nAnswer: -79412, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -418 - -287. Is (w - 2)\/(0 + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 0)*14\/4. Suppose -3*m + 15 = -4*z, 0 = -2*z + m - 0*m - p. Does 17 divide (354\/(-9))\/(2\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3156.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, r: 2, y: 1}. Give prob of sequence ya.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*o - 6*o**4 - 26*o - 15*o**3 + 10*o**5 + 23*o - 5*o**5 + 5*o**2 + o**4.\nAnswer: 5*o*(o - 2)*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 j, 1 y, and 1 w when four letters picked without replacement from uyjdwxj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -23*i**3 + 3*i - 3. Let n(o) = 24*o**3 - 2*o + 2. Calculate -2*c(w) - 3*n(w).\nAnswer: -26*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*j + 3770 + 4114 = 409*j for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 8*h**4\/9 - 80*h**3\/27 + 17*h**2\/9 - 4*h\/9 - 7. Determine q, given that r(q) = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/3 - 13*s**3\/3 + 46*s**2\/3 - 32*s\/3.\nAnswer: -s*(s - 2)*(s - 1)*(s + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.21 + 21. Let w = 2.2100402 + i. What is w rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(3\/5)*s)*s*s**(-2))\/(s\/(s\/(s**(2\/15)\/s)))**16)**(-18\/13) assuming s is positive.\nAnswer: s**(-1104\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 72997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7559614*m**2 - m**3 + 30*m**3 - 7559614*m**2 - 28*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*m - 96, 3*x = -6*m + 5*m + 52. Suppose 9*j - x = 20. Solve -8 = 5*s - j*n, 2*s = -s + n - 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -175, -173, -169?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11181 or 11363?\nAnswer: 11363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 135364 (base 8) to base 14\nAnswer: 13628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + l - 23. Suppose -4*b = 2*k - 0*b - 20, 5*k + b = l. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/103?\nAnswer: -14\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**3\/2 - f**2\/2 - 5*f. Let m be j(2). Let i be 2 + m\/(5\/(-2)). Which is the third smallest value? (a) i (b) 4\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 13130.\nAnswer: 13126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 18*a**3 - 2*a**2 - 14*a + 33. Is 21 a factor of o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2300 and 105451550?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 9044 - 493 + 7756 - 2402.\nAnswer: -h + 13905","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -78 and -312.8563333?\nAnswer: 234.8563333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3154 - 3107.14. Round x to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-530)\/110 + (-4)\/22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -23781755?\nAnswer: -23781754.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 186\/12*6\/33 + 2\/11. Sort p, -21, 2.\nAnswer: -21, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 0 + 0*p + 1\/4*p**4 + 4*p**2 - p**3. Let a(u) = u - 1. Let c be (9\/6)\/((-5)\/(-10)). Give c*j(r) - 16*a(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 0.5, -3, -4\/3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k - 37. Let d be t(-10). Suppose 4*o + 3232 = -3*q + 17576, 17957 = 5*o - d*q. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (22 - -3) + (-505 - -367) - -8?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3716777 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 15. Which is the fourth biggest value? (a) -0.4 (b) 0.4 (c) -1\/23 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, h: 1, k: 1, s: 3, z: 2}. Give prob of picking 1 k and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7407554 divided by 3703777?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 3*s. Let f be y(3). Factor 0*o**4 + 0*o**4 + f*o**3 + o**4 - o**3.\nAnswer: o**3*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6416914 is divided by 86715?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 24705*j + 24708*j - 56 = 0, 0 = -318*i - 2*j + 1304 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30025059 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377737323.\nAnswer: 3, 125912441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*k**3 - 6579*k**2 + 6577*k**2 - 6*k - k**3 to y + j*k**3 + a*k**2 + b*k and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -7*l**3\/3 + 53*l**2\/2 - 6*l. Let t be v(15). Let d = -99 - t. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473232 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + 5*p. Let v be d(-7). What is the tens digit of (-49)\/2*228\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*f*v**2*w - 6304*f*v*w + 3*f*w + 40*v**2*w + 2871*w wrt f.\nAnswer: -3*v**2*w - 6304*v*w + 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b**2 + 5*b - 26. Let z(l) be the first derivative of -l**3 + l**2 - 9*l + 4. Let m(s) = 4*w(s) - 11*z(s). What is the units digit of m(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -11.4. Let t = 857 - 854. What is the closest to -7 in t, 2\/21, l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1069, 4188, 9387, 16666?\nAnswer: 26025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 16, o: 2}. Give prob of sequence oor.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124 - -127. Suppose y = -4*m - 16, 0*y + t*y - 22 = 2*m. Calculate the remainder when 11 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24639450 a multiple of 1507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -30*n**3 - 2*n**2 - 4*n - 24. Let v be d(-13). What is v rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 6 (c) -3 (d) -0.4 (e) -3\/4 (f) 10727\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 54 (b) -0.1 (c) -0.4 (d) -38\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30.52 - 3.68. Let t = 34 + i. What is the fourth smallest value in t, 4, -3, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3031926 and -46407889.\nAnswer: -49439815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 169039692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 0. Suppose 3*r + 4*i = 44, 0*i + 92 = 5*r + 2*i. Suppose 0 = -4*w - r, 4*o - w - 54 = -3*w. Calculate the least common multiple of x and o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4534, 9409, 14618, 20161, 26038, 32249?\nAnswer: 38794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43999 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-28) - 33\/(-7). Suppose 6 = c - i. Suppose -h = -54 + c. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 11*w**2 - w + 16. Let x be m(11). Suppose -5*u = -x*f + 480, -13 + 3 = 5*f. Let s = -67 - u. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5758 - -10581. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233559.8 nanoseconds in days?\nAnswer: 0.0000000142773125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:07 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**3 + 17*h**2 - h + 1. Let f(n) = 3*n**3 - 17*n**2. Let z(a) = 6*f(a) + 5*o(a). Let p(i) = 3*i**3 + 8*i**2 + 2*i - 2. Give -5*p(b) - 2*z(b).\nAnswer: -b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s = -3*p + 381, 2*p - 2 = -2*p - 22 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (767*q + 495 - 257 - 236)*(-4 - 1 + 3)*(0*q**4 + 0*q**4 - q**4).\nAnswer: 1534*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.4, -1.7, 11\/10, 0.06, 53?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(50)*2)**2 + -1).\nAnswer: -1194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 2.6. Let t = -3 + m. Suppose 5*b + 2 = 4*b. Are t and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 7*j + 14*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 168 and 89979\/539 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90887*u**2 - 7678 wrt u?\nAnswer: -181774*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 3*d = 15. Let x(j) = -98*j + 163*j - 69*j + 4*j**2. Let v(b) = -7*b**2 + 7*b. What is d*v(w) - 5*x(w)?\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3242 or 1719?\nAnswer: 3242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**4\/12 - 13*s**3\/3 + 43*s**2 - 4*s - 6. Let m be v(22). Is 8 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -o, -51*o + 54*o + 33 = 2*w for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*r - 4)*(-r - 5*r + 4*r) + 67*r**2 - 18 + 75*r - 81*r - 66*r**2.\nAnswer: 5*r**2 - 6*r - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 90\/(-12)*4\/(-2). Solve 2*c + 2*c - 4*j = 0, 0 = -4*c - j + m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -38 in ascending order.\nAnswer: -38, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*f**2 - 30*f**2 - 71*f**2 - 128*f**2 as t*f**2 + d*f + z and give t.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2071.284 millilitres?\nAnswer: 2.071284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4497.73671420464 - 44237852.26328249536. Let c = 44242412 + l. Let h = 62 - c. What is h rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + y**2 + 33*y - 3*y**3 + 33*y + 4*y**4 + 2*y**3 - 64*y as m*y**2 + n*y**3 + a*y + v*y**4 + z and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -7. Let k(w) = 2*w**3 + w**2 - 2*w + 1. Let p be k(q). Solve 3 = -t + p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374044241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z - 31*z + 16 = -2*k, k + 2*z - 10 = 0. Let u(a) be the first derivative of 3\/5*a**5 - 4 + 7\/3*a**3 + k*a**4 + 0*a + a**2. Factor u(o).\nAnswer: o*(o + 1)**2*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 0*m**4 + 0*m**3 + 1\/120*m**6 - 1\/30*m**5 + 0*m + 0 - 3*m**2. Find the third derivative of w(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242668760 rounded to the nearest one hundred thousand?\nAnswer: 242700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.244 - 0.056. Does f = 5\/163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -63*x - 15. Let v be (3 + -15 + -2)\/(21\/(-6)) + -4. Calculate k(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138\/(-1932) + (-663)\/(-70) + -9.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -562149 - -8\nAnswer: -562141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35217961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*x + 5, 0 = 5*p + 4*x - 12 + 37. Let k be p\/(-15) + (-2)\/6. Which is bigger: 1\/13 or k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**4\/66 - 69*o**3\/11 - 410*o**2\/11 - 2646*o. Factor q(z).\nAnswer: -2*(z + 2)*(z + 205)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -15 (b) 3\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*((-96)\/(-20))\/8*(-36925)\/11816?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (-24)\/(2 + (-100)\/80) + (-248)\/(-41).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7 - 11)\/(2\/(-2488)*2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266650 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 - 2*n**3 + 3*n**3 + ((0*n + 2*n + n)*(n - 3*n + 0*n) + 4*n**2 - 4*n**2 - 3*n**2)*(-455*n + 907*n - 684 - 450*n).\nAnswer: -17*n**3 + 6156*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 39015?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/165 (b) -14307 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17268, 17266, 17262, 17256?\n\"Answer: -w**2 + w + 17268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87028.17 days to microseconds.\nAnswer: 7519233888000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-220)\/(-33))\/(6\/63). Sort 3, i, -4.\nAnswer: -4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**4\/12 + 11*d**3\/6 - 13*d**2\/2 - 16*d - 1. Let h be s(-11). Put 5, 2\/13, h in descending order.\nAnswer: 5, 2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20360 rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -242 + 255. Solve l = -4*j - 3*c, -2*c - 3 = -4*j + j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -267930 + 267903.0022. Let f = 27 + l. What is f rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186892 by 2.\nAnswer: -93446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 29. Let d = f - -35. Suppose d*y + 2 = 5*g - 23, -2*y - 10 = 2*g. Solve g = i - 2 - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 32. Let o = 11 + w. Which is smaller: 6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 3)*(0 - 8*y**3 + 0) to f*y**2 + s*y**3 + r*y + j and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {x: 1, f: 1, y: 1, t: 1, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 722922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 3*z - 33. Is 9 a factor of x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -21*p - 67. Determine s(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.845 + -0.345. What is the third smallest value in 30, l, 0.2?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*i*s + 434561*i - 12608760*s wrt i?\nAnswer: 11*s + 434561","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*1\/(-3)*(-48)\/(224\/14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41886710?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 592, 885, 1180, 1477, 1776?\nAnswer: 2077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 7*n - 8. Give l(8).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13759000, 27518053, 41277106, 55036159, 68795212?\n\"Answer: 13759053*a - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/101328 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3481056 and 1933920.\nAnswer: 17405280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + -2.5. Let z(g) = g**3 + 6*g**2 - 19*g - 20. Suppose 2*p + 56 = 40. Let r be z(p). What is the second smallest value in r, -1\/5, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - -1333?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.396, 0.12 in decreasing order.\nAnswer: 4, 0.396, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 693*s - 489*s - 15 + 22. Let w(t) = 2*t**2. Calculate w(b(n)).\nAnswer: 83232*n**2 + 5712*n + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1401 + 1344. Put -2, 0, f, -3 in descending order.\nAnswer: 0, -2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*145.\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*h + 3*h - 3*d - 12, 12 = 4*h - 3*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86675284?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -42068.6\nAnswer: 420.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 747, 787, 827?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.9. Let j(f) = -5*f. Let h be j(1). Let d = 1 - 2. What is the closest to d in -4, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7248 and 144.\nAnswer: 21744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-5)\/n)\/n)\/n*(n*n**0)\/n*n*(n\/n**(1\/3)*n*n)**(-14))\/((((n**(-2)\/n)\/n)\/n*n)\/n**(1\/7))**(-25\/2) assuming n is positive.\nAnswer: n**(-4037\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53425363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19660 divided by -18259?\nAnswer: -19660\/18259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**5\/60 + k**3\/6 + 17*k**2. Let p(t) be the first derivative of i(t). Let v(y) = -9*y**2. Give p(v(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 - 106. Are i and -2\/37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23846259 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11459 < 11458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -3. Let k be -7 - -11 - ((-410)\/(-20))\/(7\/(-14)). Calculate the greatest common factor of k and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqqhqqq. Give prob of picking 1 h and 1 q.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 0*v**3 - 6*v**3 + 2*v**2 + v**3 + 2*v - 2. Let b be q(-2). Suppose -4*f = -5*f - 5*o + 34, -f - o = -b. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/42)\/((-4)\/(-14)). What is the derivative of 143*z**2 + k*z**4 - 16 - 143*z**2 wrt z?\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 1 - 1 = -2*g, -2*z = 0. Let y be (-26)\/(-13) - g*-2. Find the first derivative of 10*p - 6 - 2 - y + 0 wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 2*p**2 - 3*p - 2. Let o be t(-2). Suppose o*a + 18 - 46 = 0. Let w = a + 18. Calculate the remainder when 71 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 1168828 + 1168828.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40642 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6304 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 5*u**2 + 4*u + 2. Let l be k(-2). Suppose -j = t - l*t + 73, -2*t = 5*j - 40. Let w be 185\/t - (-2)\/3. Solve -3*c - 28 = -w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*i = -16, -10 = -3*y - i - 0*i. Let 5*c**3 + c**y - c**3 + c**4 + 0*c**2 - 2*c**3 = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*f - 4*t - 32, 0 = 2*t - 10. Let g = -49 + f. Solve -w - 20 = -4*i - 5*w, g*w = 4*i + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6285.939 days to nanoseconds.\nAnswer: 543105129600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 5. Let q be (4 - (-6)\/v) + 1. Sort -4, 4, q in decreasing order.\nAnswer: 4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.414 + 8.586. Which is the nearest to -1? (a) -0.6 (b) 2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/18)\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48197?\nAnswer: 48197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/8005?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 313632.\nAnswer: 1568160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85.884 + -11.126. What is s rounded to 0 dps?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 11 = -3*d + 122, -3*d + 3*u = -132. Let c = -38 + d. Let b = -1 + 5. Sort b, 1, c.\nAnswer: 1, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313010020311 - 10?\nAnswer: -313010020321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2*d**2 - 2*d**2)*(-4*d**3 + d**3 + d**3) + (-2*d**4 - d**5 + 2*d**4)*(-2 - 1 + 1) + (21*d - 7*d**2 - 21*d)*(4*d**3 + d**3 - 4*d**3).\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5623 (b) 2\/9 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 7 - 15 + 3*q**2 + (-2*q + 3*q - 3*q)*(q - 3*q + 3*q) + q - q + 16*q**2.\nAnswer: 17*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**7\/98 + f**6\/5 - 177*f**5\/140 + 29*f**4\/14 + 30*f**3\/7 - 108*f**2\/7 + 14*f + 3. Let g(j) = 0. What is j?\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d. Let f be (-1 - 0)\/((-2)\/4). Let t(y) = 2*y**f - 2*y**2 + y**2 + 3*y**2. What is t(h(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - (sqrt(3) + (2*sqrt(432) - sqrt(3)) + sqrt(3))) - 3*(sqrt(3) - (sqrt(3) + -4))) + -2.\nAnswer: -23*sqrt(3) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23563 - 24476\nAnswer: -48039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 492?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + ((3 - (-6 + 12 + -4)) + -4 - -1).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106842.\nAnswer: 2, 3, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 20 = 0, m + r = -3*r - 20. Suppose g + 0 + 8 = m. Let f(p) = 2*p**2 + 93*p + 370. Let j be f(-42). Is g smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 72*m**2 + 1015*m - 450. Determine n(53).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 118726.346 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3958*i**3 + 26*i**2 + 51*i + 1. Is c(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -684323*d**5 - 243*d**2 - 376*d - 970059.\nAnswer: -13686460*d**3 - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -22627?\nAnswer: -2261b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1091191.878s to weeks.\nAnswer: 1.804219375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/7 - 4038*h**2\/7 - 3455*h + 4032.\nAnswer: -(h - 1)*(h + 7)*(h + 4032)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 154?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 207070810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 2*n + 4. Let w be j(-3). Let x be w\/2*12\/27. Let g = -3 - -1. Which is the closest to 0.1? (a) -0.1 (b) g (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.2. Let f = -5.1 + s. Let n be (-8)\/(-36) + 10\/36. What is the nearest to n in 5, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -2) + (-7 - (7 + 7392\/(-496))) + 7?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 88875?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r - 10*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/5 - 99242*j\/5 + 19848 = 0.\nAnswer: 1, 49620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1 + 4 + 55*q as r + u*q and give u.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1. Let a be (-8)\/(-6) + (-196)\/(-6). Suppose z = 1, -3*o + a = -0*o - 2*z. Suppose -o = 34*f - 32*f. Let c(r) = -r + 4. Give f*b(q) - c(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + 1*(3 + sqrt(1539)))**2 - sqrt(1539) - sqrt(1539) - (sqrt(1539) - (-1 + sqrt(1539) + -5))**2)*-2.\nAnswer: -12258 - 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**4\/12 - 7*p**3\/6 + 11*p**2\/2 + p. Let c be u(-8). Let l(d) = 6*d - 3. What is the units digit of l(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-12 + (-1 - (16 + -4)) + 18).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 22, 7, -26, -83, -170, -293, -458?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -45. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29789 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -579*i**3 - 5213*i**2 - 11*i + 76. Determine a(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, g: 4}. What is prob of picking 1 w and 3 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 13*v**6\/30 - v**4\/4 - 15*v. Find the third derivative of r(a) wrt a.\nAnswer: 312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, -142636, 10 in ascending order.\nAnswer: -142636, -9, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(432) - (5 + -1 + sqrt(432)))*4 + 5*((sqrt(432) - (2*sqrt(432) + sqrt(432) + sqrt(432)))**2 + sqrt(432) + -2).\nAnswer: 60*sqrt(3) + 19409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -653 + 236036?\nAnswer: 235053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2050, -2281, -2666, -3205, -3898, -4745, -5746?\nAnswer: -6901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30 + -34)\/((-8)\/3). Let l = -0.7 - 0.3. Let h = -24\/13 + 57\/52. Which is the closest to l? (a) h (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2069\/7 + 295. Suppose 5*j - 3735 = 4*n, 2*n = 5*j - 2942 - 803. Let w = j + -741. Which is the fourth smallest value? (a) -4 (b) s (c) w (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1)*d)**(3\/25)*(d*d**(-4))\/d*d**(-4))**(-2\/67))**(-23) assuming d is positive.\nAnswer: d**(-368\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s**2 + s + 1. Let x(j) = 2*j**3 - 5*j**2 - 2*j - 4. Let o be 6\/(-10) - 24*40\/2400. Determine o*x(g) - 4*c(g).\nAnswer: 2*g**3 + g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = -5*p + 316, 0 = w + 3*p - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/8 - v**4\/4 + 81*v**3\/8 + v**2\/4 - 10*v = 0. What is v?\nAnswer: -10, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002010 + -101?\nAnswer: -10002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 13*j + 45*j = -70*j. Which is smaller: j or 3\/964?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142057 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -30. Let x = p - -38. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*v - 165 = 0, -3*g + g + 5*v = -66. Which is smaller: g or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 23*g = -4. Let r be g\/(-3)*12\/(-8). Factor -a**r + 7\/3*a**3 + 5\/3*a**4 - 7\/3*a - 2\/3.\nAnswer: (a - 1)*(a + 1)**2*(5*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3, 3*v - 5*f - 298 = -54. Suppose 39 = 3*u + 3*i, -7*u = -2*u - 4*i - 74. What is the remainder when v is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Calculate the lowest common multiple of p*7*(-5 - -6) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**5 + 2*b**5 + 4*b**5 + (-2*b**4 + 3*b**4 + b**4)*(-111*b + 53*b - 446*b).\nAnswer: -1006*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6*f + 0)*(f + 3*f - 3*f - 6*f - 2*f - f + 0 + 0 - 3*f + (1 + f - 1)*(-4 + 3 - 1) + 3 - 3 - 2*f)*(-f**2 - 1 + 1).\nAnswer: 90*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20419, -40899, -61411, -81949, -102507, -123079, -143659?\n\"Answer: a**3 - 22*a**2 - 20421*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53847727 a multiple of 918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 5*f**2 + 4*f + 2. Let r be k(4). Let c be r*-2 + (-16)\/(-8). Let s = -0.8 + 1. Sort s, c, 2.\nAnswer: c, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(0 + 2*n**2 + 0)*(-594*n - 590*n + 3 + 1181*n).\nAnswer: -12*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 6*z**2 - 6*z - 20. Let t be m(-4). Let l = 53 - t. What is the remainder when l is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 13*n - 193. Give y(13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5390 - 5332. Suppose 3*k - 93 = 2169. Calculate the highest common factor of d and k.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 - 3*d**3 + 6*d**3)*(0*d - d - 2*d)*(-6 + 6 + 5*d) + 0*d**5 - 2*d**5 + 0*d**5.\nAnswer: -47*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -13, 0.2, -0.312?\nAnswer: -0.312","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + sqrt(3) + -2 - sqrt(3)) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 + -10c741?\nAnswer: -10c777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3565, 3574, 3585, 3598, 3613?\nAnswer: 3630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6935*l**2 - 2319*l**2 - 2305*l**2 - 2303*l**2.\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, k: 11}. Give prob of picking 4 k.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5339635843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d**2. Let t = 31 - 20. Let x(q) = -t + 2*q**2 + 11 - 5*q**2. Determine x(c(z)).\nAnswer: -192*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 114583 (base 12) to base 6\nAnswer: 5535443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -11*s + 2*s + 5*s + 25, b + 2*s - 5 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2133 - -4?\nAnswer: -2127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 10*z = 0. Suppose g - r + 57 = 6*g, 4*g - 2*r - 40 = z. What is the derivative of -4808 - g*j**3 - 18*j**3 + 4810 wrt j?\nAnswer: -87*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3063.07 tonnes in milligrams?\nAnswer: 3063070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19.89 in -1\/2, 6, 2\/31?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.021 + 0.121. What is the closest to i in 2\/9, -4\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -0.2, -2\/9, 0.1, -5\/3.\nAnswer: -5\/3, -2\/9, -0.2, 0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000182326635 rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4385872 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffzzfzfzfzff. Give prob of picking 3 f and 1 z.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 363 + 62. Let x(j) = -3*j + 8. Let r be 15\/(-30) + 10\/(-4). Let l be x(r). What is the greatest common divisor of d and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 31, 96, 2965 in increasing order.\nAnswer: -10, 31, 96, 2965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 4*n**2 - n - 4. Let t be w(-4). Let i = 6.05 - 0.94. Let d = 0.11 - i. Which is the closest to t? (a) -2\/9 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**(-1))\/w))**12*(w*w**(-1))**(18\/5) assuming w is positive.\nAnswer: w**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*c + 147*c - 16 = 0. Suppose c*a = 3*r + 126, a - 85 = 2*r - 2*a. Is -38 equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462228671?\nAnswer: 103, 1249, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 20. Suppose 6*v + t = v. Which is the biggest value? (a) v (b) -3\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from okootbbttbttt?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -658, -814, -768, -418, 338, 1602, 3476?\nAnswer: 6062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133537.1*-22.\nAnswer: 2937816.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + c + 965, -4*l - c + 5*c + 956 = 0. Let d(k) = 19*k**3 - 2*k**2 + 2*k + 5. Let p be d(2). Let g = l - p. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 987 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 12*n + 189. Let i be h(9). Put 68, i, 1\/7, -0.2 in ascending order.\nAnswer: -0.2, i, 1\/7, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -88. Let l = -0.99875 - u. Round l to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 34*i**2 + 252*i - 7212. Calculate v(33).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*t + 51 = 112*t, 0*t - 71 = -v - 4*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374674.\nAnswer: 2, 187337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -601633*s**2 + 380516*s wrt s.\nAnswer: -1203266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -308821 (base 9) in base 16?\nAnswer: -2cd5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 47. Suppose i + 4*x - 17 - 66 = 0, 0 = -n*i + 4*x + 463. Calculate the remainder when i is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 505*p**2 - 1998*p**2 + 486*p + 499*p**2 + 495*p**2 + 497*p**2 in the form o + s*p + g*p**2 and give s.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 846*s - 35. Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10838 and -54188\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 + 68. Put -5, -24, p, 4 in increasing order.\nAnswer: -24, -5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33239685*j**2 + 18018*j + 92 wrt j?\nAnswer: -66479370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/21 + 1540*y\/3 + 10766\/3.\nAnswer: 2*(y + 7)*(y + 5383)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 - 96*s - 112. Let n be q(35). Solve 49*p - 140 = n for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 4. Let l be 3*(-1)\/(d\/3). Suppose 2*j**2 - l + 3*j**3 + j + 1 - 4*j**3 = 0. What is j?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6408 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 3) to base 7.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15424321 - 2?\nAnswer: 15424315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 75, 201, 435, 813, 1371, 2145, 3171?\n\"Answer: 6*s**3 + 12*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8751?\nAnswer: 3, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2704376.7 minutes?\nAnswer: 45072.945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 207 = 4*i, -y = y - 5*i - 375. Suppose -2*g + y = 1. Calculate the remainder when g is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3)*119\/(-14). Which is the closest to 0? (a) o (b) -0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -5*y**4\/2 + 2*y**3\/3 + 15*y**2\/2 + 2*y. Let i be f(-5). Let w = 1624 + i. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*l + 27 - 26 + 31 + 25*l + 10 in the form m*l + u and give u.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*l**2 + 16*l**2 - 11*l**6 + 5*l**2 - 4*l**6 wrt l?\nAnswer: -1800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - h**2 + 1 + 19993*h - 258*h**2 - 19993*h + (0*h - 2*h + 3*h)*(-2*h + 1 - 1) + 4*h**2 - h - 2*h**2 + 4 - 14 in the form s*h + i + k*h**2 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 37*k**2 - 297*k - 12693. List the prime factors of j(-39).\nAnswer: 3, 7, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*150\/45*2\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-5))\/k)\/k**(1\/4)*(k**(1\/7)\/k)\/k**(-1))\/((k\/(k**0*k))**(1\/2)*k**(-2\/9)*k*k**(1\/3)) assuming k is positive.\nAnswer: k**(953\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181.7 + -182. Sort t, 2\/5, -3, -0.9, 5 in increasing order.\nAnswer: -3, -0.9, t, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 30 = 7*w. Suppose 207 = -236*v + 1236 + 1095. Sort v, 0, w, 1.\nAnswer: 0, 1, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30847 and 13584.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 + -0.33627.\nAnswer: -52.33627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by 4?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 8. Let r(f) = 4*f + 3. Let v be r(3). Suppose -3*m = 2*m - v. Suppose m*q = -0*q. What is w(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 3, x: 1, e: 2, s: 4}. What is prob of sequence sjss?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 64*r**3 + r**2 + 77*r - 5. Let s(n) = -96*n**3 - n**2 - 116*n + 7. Let u(g) = -5*s(g) - 7*x(g). Find the second derivative of u(v) wrt v.\nAnswer: 192*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/f**(-44))\/f)\/f*f*f**(7\/4) assuming f is positive.\nAnswer: f**(187\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -59473345 divided by -5\nAnswer: 11894669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-10\/3)*k**(3\/5) assuming k is positive.\nAnswer: k**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.109 - 6.109. Which is the nearest to 12? (a) g (b) -6 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + v = 7, 4*f = -4*v + 9 - 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 18. Let t be (-6)\/30 - 63\/r. Suppose 3*l + 292 = t*x - l, l - 143 = -2*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60)\/(-112) + -1*6\/21. Let x = -8 - -6. Which is the closest to s? (a) -4 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -1166 (c) -0.4 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 6*j**2 - 42*j + 345. Let r be k(7). Which is the closest to 55? (a) r (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 4*d + 4. Let u be s(5). Is 1\/(u\/51)*21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91713611501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 96 = -18*l. Suppose 5*s - 21 = -2*z, -z - 4 = 2*s - 13. Suppose z*h - 3*g - 63 = 0, -2*g + 14 = -h + 40. Solve l = 4*r - h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78824 or 78317?\nAnswer: 78824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 divided by 2?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.3723 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/(-1) + 30352\/(-42)*-3.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-12)*-8 - 2\/3. Suppose 13*k - 28 - 37 = c. What is the third biggest value in -0.5, k, 39?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/12 - m**3\/3 - m**2\/2 - m. Suppose 37 = 3*v - 17. Let b be (3\/9)\/((-3)\/v). What is f(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7)*-4*-2 + 5 + (sqrt(7)*-4 - sqrt(7)))*6.\nAnswer: -54*sqrt(7) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udw when three letters picked without replacement from dwwdwwudwwuwdwduddw?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 788428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.568632 years to millennia.\nAnswer: 0.002568632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 618, 1357, 2098, 2841, 3586, 4333, 5082?\nAnswer: 5833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(2 + 21\/(-9)). Let t be 4*(2 - 11\/4). Let f be 10 - (-2 + t\/(-1)). What is the highest common divisor of j and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -7 + (49 + 14 - 11)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 19*i = 22323000. Round i to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + b**2 - b - 1. Let d(m) = -8*m**3 + 15*m**2 - 12*m - 64. Give -d(a) + 12*f(a).\nAnswer: -4*a**3 - 3*a**2 + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10625384)\/(-80) - 9*8\/240 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36268)\/(-30)*(-12)\/18. Let n = -806 - l. Suppose -4*z + 2 + 2 = 0. Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 98 = -3*h, 2*h + 41*g - 32 = -29*g + 59*g for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6160000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 + x**3 - 6*x**3 + (-19*x + 13*x - 15*x)*(0*x**2 + 2*x**2 - x**2) as l*x**3 + v*x + t + z*x**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1279 - 1273. What is the smallest common multiple of 117 and k?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -385 divided by -77?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*m - 14 = 26, 0 = 5*o + 3*m + 30 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - s - 15 = 0, -2*s - 6 = -0. Let u = 29 - p. Is 25 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7258?\nAnswer: 2, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 7*s**2 + 11*s - 6. Suppose -7 = -12*a + 41. What is the tens digit of c(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4207*f + 1660*f - 38460 + 99565 = 3008*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12200 + -1*(-1 - 0)*-2. Is (-10)\/15*r\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1524)\/60)\/((-1)\/5).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11852 + 11778. Which is the closest to 2\/5? (a) r (b) 1 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 240 = 8*x. Let f be -2 - ((-68)\/x - 1). Which is the third biggest value? (a) 5 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -k + 3*f, 0 = -3*k - 0*k - 2*f - 1. Solve -2*b + 2*l - 2 = 0, 0 = k*b - 4*l + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 232.36 - 232.3403536. Round u to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.022822675 rounded to 3 dps?\nAnswer: -1.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 88529242*b - 170653021 wrt b.\nAnswer: 88529242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 + 69*v\/2 - 4556.\nAnswer: (v - 67)*(v + 136)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -o + 12, -k = -2*o + k + 12. Suppose -j + o*j = 0. Let d(n) = -5*n - 1. Let w be d(-1). Solve 0 = -j*q + w*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455566 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + ((sqrt(102) - (sqrt(102)*2 - sqrt(102)))*-3 + 1*sqrt(102)*6)\/(2*sqrt(150)*1))**2.\nAnswer: 18*sqrt(17)\/5 + 378\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/2 + (-25)\/5 + 88 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/((-3)\/(-30)). Calculate the lowest common multiple of 22 and (n + 2)\/(1\/2).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1280390 take away 118652?\nAnswer: -1399042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m - 1. Let f be n(-2). What are the prime factors of -1*3\/f*-18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - ((65 - -10) + -107)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16289 + 16293. Put 69, -0.2, 1.5, k in descending order.\nAnswer: 69, k, 1.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 + 1.9. Let d = -0.1 - 0.9. Let x = d + z. What is the closest to -2\/7 in -0.1, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.2, 0.5, 2\/3, 6\/67?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -3)*(-16)\/(-12). Determine s so that m*s - s**2 - 5*s + 0*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Let l = b - -1. Suppose 2*x + 37 = 5*x - l*a, 3*a + 54 = 4*x. What is the highest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o = 5*d - 5, 4*o = -d + 4. Let a = 180 + -161. Suppose d = 3*q - 5 - a. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 15 = -3*i, 0*r - 5*i = 4*r - 7. Determine s so that -11\/3*s**2 + 0 - 2*s - 4\/3*s**r + 1\/3*s**4 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/4)\/((-4)\/48). What is the lowest common multiple of 102\/z + 16\/24 and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -16*l**2 + 90*l. Let i(u) = 57*u**2. What is k(i(h))?\nAnswer: -51984*h**4 + 5130*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 62?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 8*i = 2*c + 8, c + 4*i = -13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 782.7 and 0.06898.\nAnswer: 782.76898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*b**2 - 1459 + 1457 - 9*b**2 - b**3 + 26*b to s*b**2 + c*b + k*b**3 + q and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -31*g**3 + g**2 - g. Let x be m(1). Let w = -19 - x. Let k be w\/54 + (-90004)\/18. Round k to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -527*j. Let u(t) = 524*t. Calculate 3*k(y) + 2*u(y).\nAnswer: -533*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -750*n - 615*n + 2777 + 266*n + 523 wrt n.\nAnswer: -1099","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.53 in 1\/7, -2\/17, 0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -1)\/((-20)\/6). Let l be 46\/(-437) - (-46)\/76. Which is the closest to l? (a) 0 (b) x (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 12 = -v - 23, 22 = u - 2*v. What is the remainder when 27 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*i - 31*i**2 - 14 + 30*i**2 + 2*i**4 - 48*i to the form g*i**4 + a*i + l*i**2 + f + d*i**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7)**(-1\/4)\/(j\/(j*j\/(j*j**3)))**(-2\/93) assuming j is positive.\nAnswer: j**(-209\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 3:48 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (3 + -6 + -4 + -2)) + -21\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30, 75, 134, 207?\n\"Answer: 7*s**2 + 24*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = 5*d, 9*d + 15 = 5*q + 8*d. Solve 0 = q*a + 3, 5*s - 2*a + 3*a = 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -8. Let y = 32 + -20. What is the greatest common divisor of y and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -197.04 + 3.04. Let r = m + 193. Let f be (-2)\/(-6)*-3 - -5. What is the second biggest value in f, r, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**4\/4 - b**3 - 6*b**2. Let t(m) = 5*m + 2. Let l(q) = -4*p(q) - 5*t(q). Determine l(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 21 + 5 + -25.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 274\/17 + (-133)\/119 + 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d = -3*g + 39, -3*g = 2*d - 21. Suppose -16 = 13*c - d*c, 2*q - 16 = 3*c. Solve 4*o = 2*b + q, 4*o - b + 2 = 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -6. Suppose 2 = 5*u + w - x, 5*u = -5*w. Let d = -311 + 322. Calculate the lowest common multiple of d and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 7*p + 4. Suppose -4*t - 5*d = 8, -2*t + 5*t = 5*d - 6. Let l(m) = -m + 2. Let j be l(0). Let g be (5*j)\/(t\/1). Determine q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 21 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23253600 (base 7) to base 2\nAnswer: -111110011101111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**3\/3 - 50*z**2\/3 + 584*z\/3 - 952\/3 = 0.\nAnswer: -34, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -2091413?\nAnswer: 10\/2091413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -103441.\nAnswer: 413764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + sqrt(475))**2*-4 + -5 + sqrt(38)\/sqrt(2).\nAnswer: -3729 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5165 is divided by 807?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from {i: 7, a: 1, p: 12}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 29 - 43. Calculate the common denominator of (-4)\/t*(4 - (-3 + 38)) and 67\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.5 - 10.26. Let h = 156.76 - 157. Let x = u + h. Sort -1, x, 1.1 in decreasing order.\nAnswer: 1.1, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5 + 1. Let z be (j\/(-9) - -1)*(1 - -2). Suppose 53 = z*i - 92. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 117413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 8 + 20)*(-o**2 - 3*o**2 + 3*o**2)*(-2*o - 3*o + 4*o) as w + p*o**2 + n*o**3 + g*o and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 1\/10*o**5 + 25*o**3 - 9*o - 125*o**2 + 0 - 5\/2*o**4. Factor j(s).\nAnswer: 2*(s - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**2 - 19*k**2 - 24*k**2 + k**2.\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 31*h - 9. Let d(u) be the third derivative of -u**4\/4 - 7*u**3\/6 - 17*u**2. Let i be d(-2). What is the hundreds digit of a(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 9:50 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -12\/19, 0, -1\/7, 6, -3, 5.71, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 771253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1768 is divided by 105?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8766 = 101*q - 521*q - 474 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428, 3485, 11784, 27947, 54596, 94353, 149840?\nAnswer: 223679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1 = 5*n + 6, -5*n = -l + 20. Suppose 3*h = 4*t - 14, -l*h + 0*t = -2*t + 14. Let a(x) = -x**3 - 2*x**2 - 3*x. Determine a(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7 + i - 2 + i**2 - 2*i. Let v = 5178 - 5174. Let j be o(v). Solve 6 = -j*k + 3*r, -4*k + 2*r + 0*r = 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 9:00 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -0.13, -4 in descending order.\nAnswer: -0.13, -0.4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -103712 - 14?\nAnswer: -103726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28.9 and 981.\nAnswer: 28350.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.144 + 7.144. Let u = -3.3 + 4. Let m = 0.4 - u. Sort n, m, 0.4 in descending order.\nAnswer: n, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 9. Suppose n*p + 7 = -4*k, 6*k = p + 2*k - 3. Let j be 0 - (p + -2 + -15697). Round j to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)*x*x**(2\/9)*(x**1)**37)\/(x**5*x*x**(1\/4)*x\/x**(-2\/21)*x**(-4\/3)) assuming x is positive.\nAnswer: x**(8201\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 19*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(204)*-1 - sqrt(204))\/((sqrt(120)*-5)\/sqrt(10) + sqrt(12)).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**4 - 1 + 49*s**3 + 7*s**4 + s**4 + 0*s**4 - 48*s**3 - 23*s as j*s**4 + y + z*s**3 + t*s + u*s**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 353133332 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*u = 47, 0 = 9*q + u - 187 + 132 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001808055 to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2877756796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79871 is divided by 114.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/15*-10*1\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffsfeeeesseseeevvfz. Give prob of picking 2 e and 1 z.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-124)\/(-465))\/(40\/(-125)) - 146\/12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 8*k**2 - 6*k - 1. Let j = -253 + 260. Determine g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 3. Let a(z) = 2*z**2 + z + z**2 - z**3 - 2*z**2. Let w(g) = -7*g**3 + 6*g**2 + 9*g + 2. Let j(f) = u*w(f) + 6*a(f). Factor j(i).\nAnswer: (i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.694+7326\nAnswer: 7324.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -8. Let c = -2.88 + 2.58. What is the third smallest value in v, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1427525 (b) 4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14253987 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**5\/60 - 92*w**3\/3 - 152. Let x(k) be the third derivative of u(k). Let h(p) = -398*p**2. What is x(h(n))?\nAnswer: 796*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from ozoo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78776 by 4.\nAnswer: -19694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20541\/28415 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 946.158218 rounded to zero dps?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2047606 is divided by 1023260.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2. Let p(x) be the third derivative of -x**5\/20 - x**4\/12 - 44*x**2. Determine -2*p(h) - 4*r(h).\nAnswer: 2*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (3 - 4)) + (-21 - (0 + -8 - 13)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 569916 * 0.4\nAnswer: 227966.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from panendnpnpneppaaze. Give prob of sequence ae.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -578*y**3 - 32*y**2 - 143*y - 28. What is the tens digit of o(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8902 + 14*d - 8897 + 15*d)*((3*d - 5*d + 4*d)*(-5 + 0 + 4) - 1 - 1 + 5*d - 9*d).\nAnswer: -174*d**2 - 88*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**4*(i\/(i\/(i*i**(-9)*i)))\/i*(i\/(i*i\/(i*i**(-2))))**0 assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p - 3. Let z be d(-2). What is the greatest common factor of 34 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16387 - 9888. What is the greatest common divisor of 67 and x?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3429 - -3415) + 0 + 77.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 2010001202?\nAnswer: -2010001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**3 - 11*b + 10. Let k be t(1). Solve k*c = -31 + 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1225 + -1227. Sort f, 2, -9, 3 in ascending order.\nAnswer: -9, f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + m**2 + 13*m**2 + (3 + 2*m - 3)*(4*m - 3*m + m))*(-2*m**3 + 56*m - 56*m).\nAnswer: -28*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2857*z - 2859*z = -1560. What is the greatest common divisor of 65 and z?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 2*i - 1. Let p(o) = -o**3. Let u be p(0). Suppose -2*s - 3*s + 65 = u. What is the remainder when s is divided by d(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 837*y**2\/2 - 305*y + 5. Find the first derivative of t(i) wrt i.\nAnswer: 837","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + m = -1, -25 + 3 = -3*h + 2*m. Suppose 5*g - 33997 = h*y + 2*g, -5*y - 3*g - 42503 = 0. 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: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16218*g - 16218*g - 847*g**2)*(3 - 5 + 4) + 2*g - 2*g + 2*g**2 to the form x + a*g + u*g**2 and give u.\nAnswer: -1692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66716.9nm to millimeters.\nAnswer: 0.0667169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2201, -12454, -40285, -94484, -183841, -317146, -503189?\nAnswer: -750760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d - 12. Let g be ((-16)\/6)\/(14\/42). Let n = d - g. Solve x = n - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2 and 63\/56*(-22)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*t + 758 + 48 = 86 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -255*g**4\/2 - 3*g**2 + 4596*g + 3831. What is the derivative of x(j) wrt j?\nAnswer: -1530*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x - 3. Let h(z) = -z**3 - 9*z**2 + 2*z + 19. Let b be h(-9). What is c(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-14) + (-108)\/(-504).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(3*n - 1 + 1)*(-n + 4 - 4).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -104, -222, -374, -554, -756, -974?\nAnswer: -1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155806599*i**2 - 654*i - 166183.\nAnswer: 311613198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**2 + q - q + (-5 - 9 - 3)*(-1 + 2 + 0)*(-4*q**2 - q**2 + 0*q**2 + (-3*q + 6*q - q)*(4 - 4 - 2*q)).\nAnswer: 148*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.1071, 0.3 in decreasing order.\nAnswer: 2, 0.3, 0.1071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109 + -107. Let f(u) = -u**3 + 4*u**2 - 5. Calculate f(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 176*h**3 - 207*h**3 + 10 + 7 wrt h?\nAnswer: -93*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/9, 0.4, 1.3, -10563?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88595 divided by -5?\nAnswer: -17719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, 31, 91, 177, 289?\n\"Answer: 13*a**2 - 5*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 10*h + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 328990302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -401, -538, -731, -950, -1165?\n\"Answer: 5*y**3 - 58*y**2 + 2*y - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(-2 - (-10)\/4). Suppose 0*b + 14 = 4*w + t*b, 0 = -4*w - 3*b + 15. Suppose 2*p = -4 + 12. Solve -w*j = -p*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-4))\/(14\/(-12)). Let l = 304 - 4253\/14. Let g = l - n. Which is the closest to 2\/11? (a) 3 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12288\/7168)\/((-26)\/14).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/1184 and 45\/1952?\nAnswer: 72224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 4. Let j be 1\/x + (-327)\/12. List the prime factors of (-39)\/(-9)*j\/(-3).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-972)\/(-396))\/9*((-14)\/(-315))\/(-2)*3\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3136 = -5*u + 19*u. Is 56 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 25*y + 4*y + 8 - 9*y. Let v(c) = 58*c + 237. Let o be v(-4). Suppose 54 = -13*s - o*s. Let a(b) = -7*b - 3. Give s*i(z) - 8*a(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 511224107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 65, 54, 35, 8, -27?\n\"Answer: -4*y**2 + y + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - 1\/(4\/44). Let a(q) = -2*q**2 - 5*q + 4. Calculate a(l).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7798 - 7798 + 893*u)*(u + u + 2*u) + (0*u + 4*u - 3*u)*(-2 + 2*u + 2) + 5*u**2 - 4*u**2 + 3*u**2 in the form m*u**2 + o*u + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 - 2*h**2 + 5*h**2)*(59*h - 56*h + 11 + 5) in the form o + b*h**2 + l*h**3 + k*h and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + 4*j - 2. Let y(m) = -2*m**2 - 2*m + 1. Calculate 5*y(o) + 2*z(o).\nAnswer: -2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + -2 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -19 - 3 - (88 + -85).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50250 (base 15) in base 10?\nAnswer: 253650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11887000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1092)\/(-48) + 78\/(-8) + 77\/7.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 - 3*w. Let p = -22 + 16. What is the remainder when p + 9 - -1*35 is divided by l(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 - ((-3 - -6) + -3). Let g = v + -3. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2925 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 - 2*t. Let s(x) be the third derivative of -x**6\/15 - 5*x**4\/24 + 5*x**2. Let h(p) = -5*r(p) + 2*s(p). What is l in h(l) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*r - 34 = 0, -5*r - 93 = k - 23. Let j = -18 - k. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40 (b) -1 (c) -0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/3, -339, 1, 4, -574 in decreasing order.\nAnswer: 5, 4, 4\/3, 1, -339, -574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 246 - 99. Let l = t - 104. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1360, -1363, -1368, -1375, -1384, -1395?\n\"Answer: -z**2 - 1359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11557 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-1 - sqrt(77))*-1 - (sqrt(77) - (sqrt(77) + 2*sqrt(77)))*5)\/(sqrt(35)\/(sqrt(5) - (sqrt(25)*-2)\/sqrt(5))).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/832 and (4\/448)\/((-62)\/(-10199)).\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 55. Suppose 5*m + i*m - 736 = 0. Suppose 3*c - 4*y = -2*y + m, -3*y = c - 16. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5284*m + 16604*m + 5337*m + 3.\nAnswer: 27225*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100.13773 + 0.10773. Let h = i + 99. Let u = h + 0.03. Which is the smallest value? (a) 4 (b) u (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2295*p**3 - 1729*p wrt p.\nAnswer: -13770*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189113 and 12787.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {c: 1, p: 4, m: 1, s: 2, z: 8}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -4*u. Let m(q) = q**2 + 2. Let s be m(u). Suppose 0 = s*j - b - 5, 0 = 4*b - 3*b + 5. What is j rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**4\/5 - 1854*v**3\/5 - 13053*v**2\/5 + 48314*v\/5 + 133992\/5 = 0.\nAnswer: -9, -2, 4, 1861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + y. Let g(f) = -76*f**2 + 12*f. Let s(l) = -g(l) + 12*q(l). Let i(h) = -1187*h**2 - 1240*h**2 + 2424*h**2. Give i(s(a)).\nAnswer: -12288*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 263\/3. Let i = 1 - 2. Let x be 6*(-1)\/(-10) - 1. Which is the smallest value? (a) g (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (6 + 10 - 19) + (-2 - 2) + 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1400.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 854760 divided by -3352?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -20. Let a be (6 - k)*130\/39. Suppose -2 = -2*i + n - 1, -a = -4*n. What is the closest to i in -3, -2\/15, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4582, -9175, -13794, -18451, -23158, -27927, -32770, -37699?\n\"Answer: -2*p**3 - p**2 - 4576*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 - (6 + -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m**3 + 31*m**2 + 3*m + 43. Let u(o) = -5*o**3 - 16*o**2 - 2*o - 22. Let b(k) = -3*c(k) - 5*u(k). What is the hundreds digit of b(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.5 - 1.5. Let x = -17 - y. Let h(p) = -p - 7. Let n be h(-7). Which is the nearest to n? (a) x (b) 2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 46 + w**2 + 0*w - 7*w - 52. Let x be c(9). What is the derivative of 3*f**3 + 1 - x*f**3 + 7 wrt f?\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*k + 526 = 0, -5*g - 7*k = -2*k - 1325. Suppose g = z + 39. Does 38 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/((p*p**(-29))\/p)*p*p**(-3\/20)*p**(7\/5)\/(p*p*((p*p*(p*p**9*p*p)\/p*p*p)\/p)\/p) assuming p is positive.\nAnswer: p**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b. Let u(t) = -64*t + 1. Determine 2*c(o) + u(o).\nAnswer: -66*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127237453?\nAnswer: 7, 59, 308081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 3*a + 0*a + 12*a + 30*a - 10*a.\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-11)\/(1276\/(-1131))*(-1)\/(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8*x**3 - 2*x**2 + 2*x + 3. Let y(u) = 9*u**3 + 3*u**2 - 3*u - 4. Let p(z) = -3*g(z) - 2*y(z). Find the first derivative of p(q) wrt q.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/42 or -420\/11?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/12 and -29\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbzcbxzxbbbzbcxzxbb. What is prob of sequence ccz?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*y + 10 - 25*y**2 - 15*y**3 - 5*y**3 + 19*y.\nAnswer: -5*(y - 1)*(y + 2)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4900 divided by 106.\nAnswer: -2450\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -2)*4\/6. Let u = r + -1. Let x(q) be the first derivative of q**4\/2 + 4*q**3\/3 + q**2 + 3*q + 4717. What is x(u)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j - 34. Let v be k(18). Suppose -2*o + h + 33 = 0, -o + v*h = -4 - 14. Suppose 11 = 9*q - o. Solve 0 = -b + q - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90271?\nAnswer: 90271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5262902*t + 9517709 wrt t.\nAnswer: 5262902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i**4\/9 - 16*i**3\/3 - 4*i**2\/3 + 32*i\/9 + 4\/3 = 0. What is i?\nAnswer: -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81440 and 5432048?\nAnswer: 54320480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394641 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 960895?\nAnswer: 1\/960895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -358244.8 to the nearest 1000.\nAnswer: -358000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -27 + 4 + 29 - 1*6\/2. Let j(k) be the first derivative of -2\/65*k**5 + 0*k + 1\/13*k**2 + 3\/26*k**4 - 2\/13*k**m + 17. Factor j(v).\nAnswer: -2*v*(v - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 4*a**2 + 9*a + 339. Give m(0).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, r: 1, a: 3, u: 1, k: 2, t: 3}. What is prob of picking 1 u, 1 r, and 1 k?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.1. Let d = -7003.7 + 7006.7. Which is the smallest value? (a) 2\/105 (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5 + sqrt(432) + (sqrt(432) - (sqrt(432) + (5 + 0 + sqrt(432) + sqrt(432) - sqrt(432)) + sqrt(432))))*-1)**2*2.\nAnswer: 144*sqrt(3) + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 61712*k + 15813*k - 73725*k.\nAnswer: -119624*k - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (169 + -172)\/((-3)\/(-13)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15378 and 53966.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 28*q**2 - 25*q + 7. What is l(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + s - 45 = 0, 0 = -6*g + 3*g - 2*s + 69. Suppose -23*x = -g*x - 880000. Round x to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -59. Solve -4*y + g = 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183130.\nAnswer: 2, 5, 18313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231 - 1?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -631 + 631 - 8*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82180, -82204, -82242, -82300, -82384, -82500, -82654, -82852?\nAnswer: -83100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcc when three letters picked without replacement from {z: 4, w: 4, c: 6}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/8 of a litre?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2652616827?\nAnswer: 3, 7, 5839, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 137530, 137523, 137512, 137497, 137478, 137455?\n\"Answer: -2*q**2 - q + 137533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8843045.\nAnswer: 5, 1768609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2066, -2074, -2082, -2090?\nAnswer: -2098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 2*r**2 + 76*r - 647. Determine o(14).\nAnswer: -1935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, -1, 3 in decreasing order.\nAnswer: 3, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 114261192 divided by -6347844\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/52 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 4)*(20886 + -13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(112) + -1 + 1) + -1.\nAnswer: -20*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 137659507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*s = -15, -69 = 2*p - 16*s - 7*s. Factor p + 0*i - 8\/5*i**3 - 2\/5*i**2.\nAnswer: -2*i**2*(4*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -768168 divided by 36.\nAnswer: -21338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 - 15*j**2\/2 + 6*j + 14.\nAnswer: (j - 14)*(j - 2)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*n + 1222 - 614 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 - 4*t**2 + 147 - 62 - 18*t to p + r*t + c*t**2 and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - -1.1. Which is the biggest value? (a) o (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*g + 49 + 35 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 12*b**2 - 4*b. Let j(d) = -84*d**2 + 27*d. Let v(i) = 4*j(i) + 27*s(i). Let q(o) = 8*o**2 - 10*o**2 + o**2 + 2*o**2. Determine v(q(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2167557252?\nAnswer: 2, 3, 7, 619, 41687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*r + 19114*i**3 + 6*i**2*r - 50*i**2 + i - 2*r wrt i?\nAnswer: 12*r + 114684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 21538732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21287*u - 20881*u + 63455*u - 21288*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/5 + 84*a**2\/5 - 567*a\/5 + 486\/5.\nAnswer: -3*(a - 18)*(a - 9)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 1)*(-1 - -2). Suppose n = 3*c - 2*c + 6. Let y = 5 + c. Is y < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -9. Let z = -28 + s. Sort -6\/17, z, -1\/8 in decreasing order.\nAnswer: z, -1\/8, -6\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.557 take away -0.5?\nAnswer: 147.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 39523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -9*c**2 + 2*c + 1. Let d be l(-1). Let p be (12\/(-8) - -2)*d. Let g be -3 - ((-2)\/1 + p). Solve 0 = 3*x - g*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33556 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 897082.3ml in litres?\nAnswer: 897.0823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125.63 or 0?\nAnswer: -125.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*w - 458 = -56*w + 193 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 32. Give c(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*r**2 - 190*r - 25071.\nAnswer: -48*r - 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -4a?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.981 + 0.019. Sort r, -0.1, -4 in increasing order.\nAnswer: -4, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by (-1*1)\/((-8)\/88)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 2. Let n be x(5). Let l(y) = -n + 2*y + 3. Let f(c) be the first derivative of c**2\/2 + 3. What is l(f(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)\/m**(1\/9))\/((m**(2\/3)*m)\/m*m**(-2\/7))*((m\/(m*m\/m**0*m))\/m**4)**(6\/13) assuming m is positive.\nAnswer: m**(-9865\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k = -32*k + 2*n - 34, -4*n - 22 = -k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*q + 4*q. Suppose -4*g - 2*j = 12, -3*g + 6 = -q*g + j. What is the nearest to 3 in 1\/3, -2\/7, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**5\/7 - 48*f**4\/7 + 243*f**3\/7 - 78*f**2 + 564*f\/7 - 216\/7 = 0.\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 26 + 7*c + 66.\nAnswer: 7*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 143 = 13*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = a - 163 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**2*(y*y**(-2\/5)*y)\/y*y**4\/y*y**6 assuming y is positive.\nAnswer: y**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f + 12. What is g(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12121*a + 19058*a - 31177*a + 492*a**2.\nAnswer: 492*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-390))\/((-3)\/(-9)*-2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 14 = 123*i - 121*i, -16 = 4*i - 4*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.9865.\nAnswer: 1.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - z**2 - 3. Let p be c(2). Let w be p\/(2\/4*2). What is the greatest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.84 - -21.24. Sort -3, 42, 45, u.\nAnswer: -3, u, 42, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 9:08 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -8 (b) 25\/66 (c) 0.3 (d) 1\/4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, r: 5, u: 2, v: 6, e: 1, c: 1}. What is prob of sequence ucu?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 457 - 338574?\nAnswer: -338116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3764\/256021 or 1?\nAnswer: 3764\/256021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 336512901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvriivvuvrvviuvviu. What is prob of sequence ur?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14188, -28350, -42512, -56674?\nAnswer: -70836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/103020 and 67\/12?\nAnswer: 103020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6937 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + b**2 - b**2. Let k(m) be the third derivative of 0*m + 0*m**4 + 0*m**3 + 0 - 30*m**2 - 1\/6*m**5. Give k(a(y)).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**5\/135 + m**4\/108 + m**3\/27 + 4*m**2. Factor k(r).\nAnswer: -2*(r - 1)*(2*r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11613, 2, 0, -124 in increasing order.\nAnswer: -124, -4, 0, 2, 11613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -118 - 1591*i**2 + 1568*i**2 - 26*i + i**3 + 0*i**3. What is the hundreds digit of q(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -85*l - 16. Let y = -32 - -58. Suppose 3*t - 57 = 3*o, -2*o - y = -0*o + t. Is q(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5389110*z + 26945551. What is y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 73.\nAnswer: 5\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -61, -128, -199, -274, -353, -436, -523?\n\"Answer: -2*m**2 - 61*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -35*g + 160. Let r be j(-31). Let q = r - 644. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1634892 smaller than -1634899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*t - 29. Let n(z) = z**3 + z**2 + 2*z. Let q(y) = -3*y**3 - 4*y**2 - 6*y. Let b(c) = 11*n(c) + 4*q(c). What is b(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from {r: 2, i: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Let c(a) be the third derivative of a**4\/24 - 5*a**3\/6 + 3*a**2. Let d(b) = -3*b + 12. Let p(k) = -12*c(k) - 5*d(k). What is p(u(i))?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**3 - 24*z**2 + 25*z**2 + 3*z - 12*z**3 - 4. Let j(x) = 18*x**3 - x**2 - 4*x + 5. Let b(u) = -4*j(u) - 5*v(u). Is b(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57206 times -16\nAnswer: 915296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 12 = 2*h, -12 = t - 4*t + 2*h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 33. Is q a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6927*c**2 - 44*c - 50. Let p(z) = -1156*z**2 + 7*z + 8. Calculate 4*o(u) + 25*p(u).\nAnswer: -1192*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -166.68501 to the nearest integer.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32564839 to the power of 1\/2, to the nearest integer?\nAnswer: 5707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 970\nAnswer: -13\/970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*a + 261 = 73 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + -1.7. Let z = 265 - 320. Is n at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00116751221 rounded to seven decimal places?\nAnswer: -0.0011675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 - -91. Let m = -16 + b. What is the greatest common divisor of 80 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 + (-2450)\/4. Let v = w - -16522\/27. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1629*v - 816*v + 1 = 817*v + 41 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 11. Let i be (-18)\/(-14) + v\/14. Let c(a) be the first derivative of -7*a**4\/4 + 2*a**3\/3 - a - 47. Calculate c(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43, -70, -115, -178, -259?\n\"Answer: -9*j**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 139*l - 137*l = 17, 3*x - 31 = 4*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 27 = 0, -470493*n - 11 = -470498*n + 3*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*d = -10, 3*t + 5*d - 16 = d. Suppose -4*k = t*z, 0*k - 3*z - 20 = -k. Suppose k*u + s - 52 = 3*s, 2*u - 16 = -4*s. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + 6. Suppose 0 = d + i - 28, -d + 2*i + 3*i + s = 0. What is the remainder when d is divided by (4 - 4) + 15 + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**3\/5 + 173036*x**2\/5 - 1384032*x\/5 = 0.\nAnswer: 0, 8, 43251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-17))\/j**2*(j**30)**3 assuming j is positive.\nAnswer: j**107","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 155055 (base 10) in base 12?\nAnswer: 75893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*g**3*h**2 + 16*c**2*g*h**3 - 3*c*g*h**3 - 6*g**3*h**3 + 2*g**3*h + 2*h**3 wrt c.\nAnswer: -4*g**3*h**2 + 32*g*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7055, 5, 0.1?\nAnswer: 7055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2134*j. Let w(o) = 4*o. Calculate -2*b(h) + 22*w(h).\nAnswer: -4180*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -43, -47 in ascending order.\nAnswer: -47, -43, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/((1\/(-2))\/(12\/1128)). Let o = m - -76\/799. Which is the biggest value? (a) -3 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -191*f. Let c(u) = 2*u. What is y(c(l))?\nAnswer: -382*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -41\/4, 75, -78, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 12*o**2 - 4*o - 15. Suppose 0 = 5*j + k + 65, 3*k = 2*j - 3*j - 27. Let w be d(j). Solve -4*i - 15 = 5, -5*i = -4*f + w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2461995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 8:04 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*j + 158 + 852 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -45.03644.\nAnswer: -44.83644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -24 - 2*w**3 - 32*w - 33*w**2 + 0*w**2 + 19*w**2 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2144 and 36247?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13\/11 - -15\/11. Sort 0.5, u, -12 in ascending order.\nAnswer: -12, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/72 - (-625)\/1800. What is the smallest value in 2\/7, -1, 2\/3, s, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*k + 186*k - 4320 = 87*k for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135.999772 + 136. Round c to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*w - 53*w = -40. Suppose -9*x + w*x = -314. Let y = 955\/3 + x. Which is the smallest value? (a) -0.4 (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 minutes after 3:13 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -53.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-25260)\/1050 - (-18)\/315\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + f9?\nAnswer: f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -364 divided by -182?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 5480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 569 divide 961308062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -15389*j. Let g(z) be the first derivative of 2*z**3\/3 + 10108. Calculate g(t(l)).\nAnswer: 473642642*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1027*r. Let s(f) = -3*f**2. What is y(s(h))?\nAnswer: 3081*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 99 - -7360?\nAnswer: 7429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5 (b) 2 (c) -919\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + 206. Let h = i + -224. Solve -13*j = 15 + h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(36\/90).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 77847*g - 77844.\nAnswer: -3*(g + 1)*(g + 25948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27343, 27237, 27061, 26815, 26499, 26113, 25657?\n\"Answer: -35*k**2 - k + 27379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/9)\/o**(3\/5))**(-6\/17) assuming o is positive.\nAnswer: o**(94\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-174)\/(-4) - (-4)\/(10 + -2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24102 + -24105. Suppose 5*c + 2*g = 2 + 1, 5*g = -c + 19. Is x bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309821143.\nAnswer: 309821143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780183631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4 = 0, 2*h + 3*o = 6*o + 234. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 4*g - 20, g + 7 = 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148*b - 29*b + 27*b to u + x*b and give x.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23222 (base 4) to base 3\nAnswer: 1000122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvfv when four letters picked without replacement from {h: 1, f: 2, v: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**2 + 63595*h + 445410 = 0. What is h?\nAnswer: -7, 12726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 21. Suppose -4*k = 6 + d. Let v = -1183 - -1188. Sort v, k, -1\/3 in decreasing order.\nAnswer: v, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -25*u - 1105. Let d be y(-44). Let n(a) = 4*a**2 + a + 8. Let j(f) = -6 + 0*f - f - 6 - 6*f**2. Give d*j(p) - 7*n(p).\nAnswer: 2*p**2 - 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4017 and 10\/12669?\nAnswer: 164697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1\/q)\/q*q\/(q*q**15))\/(q**1*q\/(q*q**10)) assuming q is positive.\nAnswer: q**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/4 + -2 + 2. Let v = -6 + n. Suppose -y + 90 = v*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwwessswwwsc. Give prob of picking 2 s and 2 w.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 15) in base 5?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 + 58 - 38 + 29 + 49 + 18*c)*(-38 + 38 + 9*c).\nAnswer: 162*c**2 + 1206*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + (0 - -21 - -20).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-9) + 2 - (-13)\/(858\/44)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2. Let l = -66 + 73. Suppose l*x = 10*x - 717. Let i(u) = x - 4*u - 239. What is i(f(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 4, 0.2, -26.1502, -1.8, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -416.9853 from -79.3525.\nAnswer: 337.6328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -5 (c) -135976\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1840670386?\nAnswer: 2, 1523, 604291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -10. Let l = 0.05 - -1.95. Which is the closest to s? (a) l (b) 5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d**2 - 10*d**2 - 3*d**3)*(3 - 1 + 2).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**3 + 16*m**2 - 52*m - 14. Give p(3).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, 50, 93, 132, 167?\n\"Answer: -2*h**2 + 53*h - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2584 + 2590. Suppose -2*b + 4*x - x = -35, -5*b + 30 = 4*x. Solve k*n - n + b = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 251 + 2?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 7*t + 1. Let o be n(-6). Let y(b) = -b**2 + 5*b + 8. Let i be y(o). Let m = 7 + i. Solve 4*c - s = -6, 0*c = 3*c + 2*s - m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 124*u**3 + u**2 - 19*u + 31. Is j(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/4 + (5\/4)\/5. Let u(s) = s**2 - 6*s - 3. Let n be u(p). Suppose 3*i + 4 = n*l - 9, i = -3*l + 13. Put l, 0, -1, 1 in descending order.\nAnswer: l, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12995 at most -13006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, -76\/3, -4, -2\/5, 0.2.\nAnswer: -76\/3, -4, -2\/5, -3\/10, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4976118 is divided by 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51140 + -51140.069986. Let w = -0.07 - x. Round w to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6 = 0, -r - 5*k - 6 = -29. Let i be (r\/15 - 2)\/((-5)\/40). Is i < -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138 (base 10) to base 7.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 40*(-8)\/(-40) - (-7 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 + 2) - (-3 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -16 + (70 - 29) + -40 + 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-6) + -78*62\/(-4836)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*i + 28*i + 42. Let l = i + 19. What is the highest common factor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*876\/(-2044).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-20 - (8 - 15)) - (-3 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5665 + -2383. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k + 8. What is b(8)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92244, 92246, 92248?\nAnswer: 92250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 10:52 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22923\/14 + -1639. What is the common denominator of 11\/27 and f?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*p**3 - 2*p**2 - 3*p - 17?\nAnswer: -360*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 199472 divided by -81\nAnswer: -199472\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 26. Let n be (434\/88 + -5)*2922\/(-1071). Let z = n + -1\/238. Which is the fourth smallest value? (a) 6 (b) z (c) x (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 16*w**2 - 18*w - 17. Let z be b(-17). Factor z - 2\/3*m - 2\/3*m**2.\nAnswer: -2*m*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 + (-4)\/(-2). Suppose 4*a = 4*z + 88, -a - 4*z + 65 = 4*a. Solve t = 5*m + a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25, -23, -19, -13?\n\"Answer: g**2 - g - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.2 - -0.2. Let z = 6 + -15. Let r = z - l. What is the closest to 0 in r, -4\/3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -4. Suppose 109 + 83 = -64*o. Sort o, -2, z, 1.\nAnswer: z, o, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 42*v + 135.\nAnswer: 3*(v - 9)*(v - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-16)*z\/(z**13*z))\/((z*z**(-2\/7)*z)\/z*z**(3\/2)) assuming z is positive.\nAnswer: z**(-423\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbegqfffffbggqrqqge. What is prob of picking 1 r and 1 g?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -8. Let l(m) = 26*m + 6. Let g(q) = -9*q - 5. Let p(b) = -26*b - 14. Let n(x) = 11*g(x) - 4*p(x). Determine y*l(s) + 16*n(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**3 + 148*n**2 - 6080*n - 225264 = 0?\nAnswer: -38, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)\/f)**(-37)\/(f*f\/(f**(4\/3)*f*f)*f*f**(2\/5)\/f) assuming f is positive.\nAnswer: f**(791\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {m: 11, u: 9}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2 + 0*g + 8 - 3*g - 3*g**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6760*t**2. Let h(v) = -17*v. What is h(u(j))?\nAnswer: 114920*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*a - 355 = -905 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 + -124. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, -130, -324, -518?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -828 + 826. Which is the fifth biggest value? (a) -5 (b) 0.1 (c) 1\/6 (d) g (e) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3960 + 705 = 422*l - 399 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + sqrt(16)\/(sqrt(8)*2) + 2))**2.\nAnswer: -25*sqrt(2) + 75\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 6, 2, 4, -2.\nAnswer: -2, 2, 4, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 9\/21)*98. Let b = l + 561. Let z = -126 + b. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(2\/(-188)). Suppose -5*b - 3*k + r = 0, -5*b + 31 = k - 2*k. What is the lowest common multiple of b and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.8 from -68.\nAnswer: -66.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 301, 491, -60, -4 in ascending order.\nAnswer: -60, -4, 301, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2\/7 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/(36\/216)*140\/(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16963*c**5 - 23925*c wrt c?\nAnswer: -339260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2. Let o(f) = 19012*f**2. Determine o(u(c)).\nAnswer: 171108*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6083)\/5214)\/(2\/(-48))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 33\/2. Let f = 9.2 - 5.2. What is the second biggest value in -1\/4, x, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/21*(-6)\/20?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4 - 3056538*b**3 - 55016655*b**2 + 58073196*b = 0. Calculate b.\nAnswer: -1018828, -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 11:54 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*q + 12 = 0, -4*u + 0*q + 9 = q. Differentiate -1 + 2 + 0 + u + 3*z**3 with respect to z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-496)\/(-3255) + 146\/(-30) + 5. Sort -4\/9, t, -1, -14\/5 in ascending order.\nAnswer: -14\/5, -1, -4\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/5492448 and -29\/21512088.\nAnswer: 258145056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**6\/120 + k**5\/30 - 5*k**4\/24 - 5*k**3\/6 - 3*k**2. Let h be v(-3). Solve -h - 4 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 - ((2 - 51) + (138 - 104))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let s(p) = -3*p**2 + 57*p - 261. Let w be s(8). Let k(m) be the first derivative of 8\/3*m**w + 25 + 0*m + 0*m**2. Give y(k(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (129*-3 + 1)\/((-364)\/546). Let s = -481 + i. What is the lowest common multiple of 42 and s?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33025157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.167266 * -2\nAnswer: -0.334532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**2 - 9*i - 4. Let y(j) = -3*j**2 + 5*j + 2. Determine -4*x(m) - 7*y(m).\nAnswer: -3*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*7\/14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*1*sqrt(33)*-5)\/(-4*sqrt(55)\/(sqrt(15)\/sqrt(3))))**2.\nAnswer: 675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.8 to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*n + 2*l - 266, 0 = -n - 4*l - 163. Let u = 863\/6 + n. Find the common denominator of -11\/546 and u.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(52) - sqrt(1300)) + 1 + (sqrt(52) - (sqrt(52) + 0)).\nAnswer: -8*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46004612?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4503 and 4.526?\nAnswer: -20380.578","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, -2, -3, 29, -410 in decreasing order.\nAnswer: 29, 1, -2, -3, -11, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-525)\/14*(-1890)\/1215*1*(-12)\/(-28)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5201 is divided by 133.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - -303.2.\nAnswer: 321.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 0 - 37 + 21 - 5*j**2 - 34*j. Find the first derivative of o(t) wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/22448 and -81\/223382?\nAnswer: 41102288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f - 189 - 135 = 0 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4\/6 + 7*c**3\/6 + 11*c**2\/6 - 7*c\/6 - 2 = 0.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8314282900 to the nearest one million.\nAnswer: 8314000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 y when three letters picked without replacement from yshyhsjujhsyusuy.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i + i - 4*i)*(6*i - 3*i - 4*i) + 3*i**2 + 10*i**2 - 6*i**2.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-1)*(-3)\/(-4). Let k = 7 + q. Calculate the remainder when 26\/4 - (-1)\/(-2) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89\/445 - 36\/30?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2361 is divided by 377.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0 = 2. Let b be 1\/(-2)*40\/c. Suppose -30 = -18*o + 6. Calculate the greatest common factor of o and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdsssssssssoddss. Give prob of sequence dds.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111111000110001010001 (base 2) in base 15?\nAnswer: -573eae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, -60, -186, -370, -612?\n\"Answer: -29*s**2 + 19*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 22*m**3 + 22*m**2 + 8*m - 4. Let a(j) = -23*j**3 - 22*j**2 - 9*j + 5. Let c = 12 - 16. Let x(i) = c*a(i) - 5*y(i). Factor x(g).\nAnswer: -2*g*(g + 1)*(9*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**5 + 100*p**4 + 580*p**3 + 710*p**2 - 585*p - 810 = 0 for p.\nAnswer: -9, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 13425 + 1488. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -65*j + 126. Let o be x(6). Let v = -109 - o. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 800\/12*12\/(-10). Let r be j\/6 + 1\/3. Let p(z) = -z**3 - 12*z**2 + 12*z - 8. Let f be p(r). Which is the second smallest value? (a) 0 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 114\/4*2\/3. Let m(k) = -k**2 - 19*k - 29. Let o be m(-16). Let x = t - o. Sort x, 1\/2, -2 in decreasing order.\nAnswer: 1\/2, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*k - 0*k + 220, -k + 5*q - 56 = 0. Let m be k\/(-3)*16551\/(-120). Let r = -3498 - m. What is the common denominator of -79\/8 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/17048160 and -17\/1704816.\nAnswer: 17048160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 285, -0.4, 0.5, 2\/3 in descending order.\nAnswer: 285, 5, 2\/3, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.03 or 11\/107?\nAnswer: 11\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/(-4*(-18)\/(-1080)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 6*y + 3*y)*(y + 2*y - y)*(-404 + 69 + 24).\nAnswer: 622*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 + 8426*c + 269888.\nAnswer: -(c - 33736)*(c + 32)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 22*a + 95. Calculate the remainder when h(9) is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmm. What is prob of sequence mj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 148305*u - 148300.\nAnswer: -5*(u - 29660)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-36))\/(2\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (155 - 132) + 24 + -1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -179 (c) 1\/6 (d) 1\/1984\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -7.7. Let r be (-10)\/6*(-6)\/30. Which is the third biggest value? (a) r (b) 3\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 187? (a) -1\/4 (b) 0.2 (c) 8 (d) 0.5 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*d - 2, 0 = -a + d + 1. Suppose 0 = 4*h + 4, 4*h = -3*m - m + 32. Let u be m\/24*25\/(-60). Which is bigger: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from qiiiqqqiiii?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 1.4, 2, 3, 4\/5 in increasing order.\nAnswer: -4\/3, 4\/5, 1.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*i + 3*j, i + 2*j + 0 = 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 4)*(x - 1 + 1) + 3*x - 2*x - 3*x + (-4*x - x + 4*x)*(-2 + 3 - 2) - 6*x - 13*x + 164*x to the form w*x + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 5, -1, 14, -13.\nAnswer: -13, -3, -1, 5, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1004*v + 32*v**2 - 8*v**2 + 1004*v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100252 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: Let n(s) be the first derivative of -4*s**3\/3 - 5*s**2 + 2. What is the second derivative of n(c) wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1926*j = -3298*j + 36568 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37237 + 37195 = 3*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 848.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let y(t) = 4*t**3 + 3*t - 1. Give -3*s(h) - y(h).\nAnswer: -4*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 220, 307, 394?\n\"Answer: 87*q + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100172905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n**2 - 4*n**2 + 7*n**2 - 13*n**2.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0588174932 to 5 dps.\nAnswer: -0.05882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 48 = -4*m, -1262*c + 1265*c = -5*m - 60 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 plus -4?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 15409432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.4. Let f = y - 0.3. Let h be (-2)\/(-6)*1*-2. Which is the third biggest value? (a) f (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86887, 86913, 86939, 86965, 86991?\nAnswer: 87017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 7*k - 1. Let q be w(3). Suppose r = 4*m - 128, -2*m - 4 = q*r - 78. Is 13 a factor of m + -3 + 0\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.072 + 1.072. Let r = -0.06 - 0.74. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 7 (b) 11.49 (c) -2\/49 (d) -2 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4178290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1, 14, 10 in descending order.\nAnswer: 14, 10, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + 2\/4)\/((-5)\/(-230))?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 53, 59, 75, 107, 161, 243?\n\"Answer: a**3 - a**2 + 2*a + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -l + 3*l. Suppose 0 = -l*j + 6*j - 5*b + 15, 2*b - 6 = 4*j. Solve j = 5*s - s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 - 70. Let m = i - 8. Let x(t) = -t**2 - 34*t - 199. Calculate the remainder when x(-14) is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11252 - 11251.9. Which is the nearest to 2\/3? (a) -1\/2 (b) w (c) 0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-5)*1530\/(-4131)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 63*y - 2013520 = -29*y. What are the prime factors of y?\nAnswer: 25169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23335, -17.\nAnswer: -17, 0, 23335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1250.2149 to the nearest 10.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Let z be 0 - (-4)\/(-14) - (-352)\/56. Suppose -2*n = 3*b - 1 - z, d*n = 3*b + 13. What is the second smallest value in n, 3\/8, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185887510.\nAnswer: 2, 5, 109, 170539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 less than or equal to 1264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*i = -3196, 3*c - 8*c = 2*i - 3188. What is the highest common divisor of 60 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:56 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101 + 1311\/13. What is the closest to 0 in -4, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -215, -338, -461, -584, -707?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3\/4*v**3 + 60*v + 51\/4*v**2 + 48 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millisecond in microseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000415212 to 7 decimal places.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 121*j. Let y(d) = -932*d. Let g(i) = -287*i. Let a(h) = 13*g(h) - 4*y(h). Give a(x(r)).\nAnswer: -363*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 250, 430, 668, 976, 1366, 1850?\nAnswer: 2440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 2*g - 13 - 11 + 41 + 3*g.\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -4 + g**3 - 5\/4*g**4 + 0*g + 0*g**2. Solve n(s) = 0 for s.\nAnswer: 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by 689?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43.2 + 43.6. Which is the fourth smallest value? (a) 3\/4 (b) 13\/3 (c) w (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (173*v + 1168*v + 1806*v + 922*v - 659*v)*(10 - 10 - 7*v**3) to the form k + d*v + h*v**4 + q*v**3 + m*v**2 and give h.\nAnswer: -23870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/8 + 41025*s\/8.\nAnswer: 3*s*(s + 13675)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 25393585.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11884 + -11889. Put y, 1, 5, -3 in decreasing order.\nAnswer: 5, 1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112259496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372 = 72*s - 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = y - 514, 4*r + y - 2080 = 5*y. List the prime factors of r.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.03, 10, 5, 1\/11?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 + 38*b\/5 + 68\/5.\nAnswer: 2*(b + 2)*(b + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 8 = 5*f - 3, 5*f - 17 = -2*g. Let h be (3\/(-30))\/(g\/(-4)). Factor 4\/5*r**2 + h*r - 4\/5 - 2\/5*r**3.\nAnswer: -2*(r - 2)*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from eddslspsends?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24346329.\nAnswer: 3, 7, 17, 47, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1368 by -32.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -179. Let n = v - 147. Calculate the lowest common multiple of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -84. Let c(x) = x**2 + 2. Let p(g) = -g**2 - 1. Let a(k) = y*c(k) - 2*p(k). Let s(o) = 11*o**2. Calculate s(a(z)).\nAnswer: 11*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/785 and -12\/7.\nAnswer: 5495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, -1, -4 in descending order.\nAnswer: 103, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bffbfbfffffhbfffbf. Give prob of sequence bhb.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 20 = -5*a + 4, -5*a = m - 22. Suppose -3 = a*j + 5. Let u = -533\/1058 + 2\/529. Do u and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-404)\/(-6) + -2 - 42\/126. Let n = -62 + w. Solve -3*u = -2*f + 7, 4*u - n*f + 2*f + 6 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 5. Suppose c - 12 - j = 0. Let w = 5 + c. Calculate the smallest common multiple of 16 and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-39) - (-4410)\/(-234). Let t(d) = -13*d - 151. Is t(c) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 13*j + 9)*(-3 + 4 - 4)*(5 + 4 + 3) to q + v*j and give v.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x - 0. Let o(g) = -g + 38. Is 16 a factor of o(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.95 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/5, -4, 0.222?\nAnswer: 0.222","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 2. Let s be m(-2). Let j(h) = -17*h - 3 + 20*h + h**2 + 0*h**s. Determine j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-5 - (-11 - -6)))*20. Solve 0 = -5*h - y, -3*h - 6 = 3*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1697514 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/287 (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k = 17 + 43 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 246*y - 82. What are the prime factors of d(5)?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*i - 3245 + 3705 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(128)*1 + sqrt(128) + 2)*-3 + -2)*-2)**2 + -3.\nAnswer: 10752*sqrt(2) + 226045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14796 = -87*t + 217*t + 4526. Solve -t = 3*m - 91 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205 + (-19 + 103 - 218).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*v + 182, 3*v + 28 = 4*o - 267. Let t = v - -93. Suppose t = j - 30 - 75. Calculate the remainder when j is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 319931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212000 - 2?\nAnswer: 2211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11973)\/(-351) - 37)*9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9974, 28, 5, -4, -15 in increasing order.\nAnswer: -9974, -15, -4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/203 - 621\/406. Let w(z) = z**2 - 2*z - 6. Let n be w(4). Put x, n, 0.07, 3 in ascending order.\nAnswer: x, 0.07, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2512, -2519, -2526, -2533, -2540?\n\"Answer: -7*m - 2505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18484\/(-6) - (-1)\/(3\/2). What is k rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -185*v + 20*v - 218*v. Which is the second smallest value? (a) 0.4 (b) v (c) -712\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410 + 468 = -29*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*p - p**4 + 28*p**2 - 2*p**3 + 48*p + 6*p**4 - 27*p**2 in the form j*p**4 + z*p**2 + t*p**3 + c*p + k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 90. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/121 and 5\/11?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17495*a**4 + 5943*a**2.\nAnswer: 419880*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387*y - 388*y - 1 = 0. Which is the closest to 925? (a) -5\/3 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134233926 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47932953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1878)\/2504)\/(27\/(-96))*(-1)\/(-724)*3?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -24. Suppose -r*b + 16 = b. Solve -4*y = 16 - b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21388.47939047 + 0.01\nAnswer: 21388.48939047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 3*w**3 + w**3)*(-4*w + 0*w + 2*w) + w**4 + 2*w**3 - 2*w**3 + 4*w**3 + w**4 - 4*w**3 + (-5 + 5 + 5*w)*(-517*w**3 - 39*w**3 - 75*w**3).\nAnswer: -3157*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 258017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.18054 - 0.18. Round j to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 - 2 - 2*l**4 + 7 - 3 to the form a*l**3 + n*l + b*l**4 + w + y*l**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77104 or -4.045?\nAnswer: -4.045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -29. Let r = 2 + l. Let y = -1.99999965 - r. What is y rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*(y\/(y**10*y))\/y*y)**(-1\/6) assuming y is positive.\nAnswer: y**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cchcqqhcc. Give prob of sequence qc.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -29*b + 90. Let c be l(-8). Let a = c + -318. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54408, -54396, -54384, -54372?\nAnswer: -54360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 10*x - z - 41 = -3*x - 4*z, -3*z - 29 = 1813*x - 1818*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/8)\/(10\/2920). Calculate the common denominator of 7\/3*(-42)\/40 and (-4)\/8 - g\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 340, 202, -166, -878, -2048?\n\"Answer: -19*c**3 - c**2 - 2*c + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5711.\nAnswer: 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4719870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -7*y**5\/20 + y**4\/6 - 109*y**3\/6 - 4*y. What is the second derivative of t(p) wrt p?\nAnswer: -42*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9\/18802 (b) -1 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 164*a**2 - 170699*a - 26023. What is i(1041)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let l = g - -2. Let a = -219\/2 + 110. What is the second biggest value in a, 0.3, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1232 (base 9) to base 3.\nAnswer: -1021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 12:23 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 15*o + 34. Let m be q(-17). What is h in -1\/4*h**3 + m - 9\/4*h - 3\/2*h**2 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 332820?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -39. Let z be 2\/5 - j\/(-10). Solve -z*n = 4*t - 26, -n - 2*t + 7 = -5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -17*p + 2825 - 1513 - 1476. Let a be h(-10). Solve a*s - 2*s + 10 = -5*r, 0 = -2*s - 4*r - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**3\/3 + 15*l + 3. What are the prime factors of s(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 25. Let m(i) = i**3 - 5*i**2 - i - 18. Let r be m(6). Suppose f - 4*x + r = 0, -12*f + 2*x - 42 = -16*f. Is c > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -6 (c) -0.2 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -23 - -21 - 16 - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 28*u + 57 = 119, 0 = -2*z + 4*u + 34 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 12. Let m(r) = r**3 - 7*r**2 - 7*r - 4. Let a be m(h). Suppose -a*s - 102 = -5*d, -5*s - 63 = -5*d + 42. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**5\/20 + c**3 + 6*c**2. What is the derivative of s(q) wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f = -12. Solve 0*m + f = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than -369.038?\nAnswer: -363.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v + 1. Let i be r(-1). Solve 0 = -i*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + (-1904)\/(-85))\/(-6 + 104\/15)\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8800\/60)\/(-55)*-3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350232607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 6 + -6*1. Let u(j) = -1 - 5*j**2 + x*j + 3*j**2 + 6*j + 3*j**2 - 7*j. Let v(q) = -5*q**2 + 4*q + 3. Determine -3*u(n) - v(n).\nAnswer: 2*n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h**3 + 0*h**2 + 5*h**2 - 3*h**2 - 2*h**2 + h**2 + 2 - 2*h**4 in the form p*h**3 + n + l*h**2 + v*h**4 + u*h and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x - 1290 = 86*x - 3180 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/4)\/(50\/10)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 3*y**2 - y - 3. Let v be a(3). Let z(f) = 5*f - 13. Let b(q) = -q + 1. Let r(s) = 6*b(s) + z(s). Calculate r(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-2) - (-1 + 0). Let a be (-1 - (-107)\/111)\/(-18 + (-318)\/(-18)). Is q bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -119*y**4\/6 + 349*y**3\/6 + 63*y + 2. What is the second derivative of z(a) wrt a?\nAnswer: -476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaak.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7156 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-32)*-4*(-24)\/11016*-27?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (196\/8)\/(2\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 1823*l**2 - l - 1823.\nAnswer: (l - 1)*(l + 1)*(l + 1823)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14\/5 - 88\/35. Which is smaller: m or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l**3 - 7*l**2 + 7*l - 1. Let z(r) = 6*r**3 + 4*r**2 - 4*r + 1. Let k be ((-2)\/6)\/((-3)\/63). Let m(p) = k*z(p) + 4*s(p). Differentiate m(x) wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 25*n + 33. Let m be g(-14). What is m rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -108?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2*z + 2, 2*z - 1041 = -21*q - 542 - 533 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -545, -31, 211, -1 in descending order.\nAnswer: 211, 2, -1, -3, -31, -545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 48*z**2 + 216*z - 150. Determine k(43).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 911259915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 812866788 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(6\/5)*m*m**(-3\/2)*m)\/(m**(-11))**(-3) assuming m is positive.\nAnswer: m**(-313\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 at least as big as -197\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 6*h - 7. Let b be v(-8). Let d = -67 + b. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + 1 + (35 - -3) is divided by (7 + (-2)\/2)*3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 523 + 319 = 0. Is ((i\/(-3))\/(-2))\/(34\/(-63699)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(6\/3)*1*-8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-6 + (49552\/(-2064) - -30)).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3179 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/440 and 59\/20.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*h**2 + 15*h - 15*h)*(-41 - 25 + 15) + (2 + h - 2)*(-3*h + 2*h - 3*h) to the form b + m*h + s*h**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)*l)\/l)**(-38)*l**(-3\/11)*l*(l**(-3)*l)\/l*l**7*(l*l**7)\/l*(l**(-3)\/l)\/l*l**(1\/9) assuming l is positive.\nAnswer: l**(-527\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 - (-68 + 93 - (9 + 49))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -65. Let f = 42 - r. Suppose 3*k + 61 = 2*w + f*k, -3*w = -2*k - 81. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f - 3*f + 17808 = 0. What are the prime factors of f?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 - -75. Let p be o\/((-20)\/11 + 4\/(-22)). Solve 4*h = -5*g + 23, 11 = p*g - 2*h - 0*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021694 to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 899, 1780, 2661, 3542, 4423, 5304?\n\"Answer: 881*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -913991 in increasing order.\nAnswer: -913991, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3257712147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 115102399?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5786*u**4 - 47*u**3 - 17456321 wrt u.\nAnswer: -23144*u**3 - 141*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t - 8. Let v be z(-4). Let u(n) = 3*n - 5. Give u(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/6 and 27\/845710.\nAnswer: 2537130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -424 - -1325. What are the prime factors of a?\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111011010 (base 3) in base 9?\nAnswer: 414133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.3 + -22.3. What is the third biggest value in a, 1, -5, -0.27?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -1 + 5, -3*o - 4*l = -14. What is the remainder when 17 - 0 - (1 + 0) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17501600 to the nearest integer?\nAnswer: 4183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.02 + -9. Let s be (-4)\/20 + (-2)\/63. Let t = -2\/63 - s. Sort -2\/15, t, c in increasing order.\nAnswer: -2\/15, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.17 + 0.03. Let a = -0.5 + 0.9. Let s = 8.12 - 8.22. What is the biggest value in s, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719165 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -48\/13, 4, -1\/21, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3 = -5*l. Let n be (-642)\/(-18) - (-4)\/(-6). Let w = -93 + 95. Solve n = -5*m - 5*p, 7*m + w*p + 22 = l*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6, 2*u = 5*u - 3*o - 546. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*f - 8*f = -302, -2*w + f + 579 = 0. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, r: 1, u: 3}. Give prob of picking 3 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3336340 (base 7) to base 11\nAnswer: -262167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(500))\/(sqrt(40)\/sqrt(4)*3).\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 570 = 5*g, -2*g + 216 = -4*z + 5*z. Suppose 0 = 3*l + l - 12. Suppose 0 = -l*d + g + 1147. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -848868472 divided by 2384462?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 1\/4, 2.7 in descending order.\nAnswer: 2.7, 1\/4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 9*w - 6. Let c be a(-6). Let g = 15 - c. Suppose -g*t = -4*z - t - 60, 3*z + 44 = t. Which is smaller: z or -13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 13. Suppose 4*c = -3 + r. Let y = -0.07 - 2.93. What is the third biggest value in y, -0.5, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1203 (base 5) to base 4\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q + 2. Suppose 18*r - 17 = 20*r + 5*y, -2*r + 33 = -5*y. Let j(m) = -6*m - 3. What is r*f(t) + 3*j(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2)**(-16\/3)*((z*z**(1\/2)*z*z)\/z)**(-5\/9)*z*z**(-1\/5)*z*(z*z*z\/z**6*z*z*z*z)\/z*((z**(2\/9)*z)\/z*z)**(-47) assuming z is positive.\nAnswer: z**(-677\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 57.10108 nanograms?\nAnswer: 0.00000000000005710108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 107*r - 101 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3\/7, -8.9, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/102629275 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804153.5415567 less than -3?\nAnswer: -1804156.5415567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 7 + 9. Suppose i*f + 3*a + 8 = 0, -2*f - 1 = -4*a - 21. Let o be 1 + (3 + -2 - 2). Solve o = -f*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.0308 (b) -90 (c) -5 (d) -0.4 (e) 13\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9299911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3750 = -5*r, -2*i + 5*r + 2162 = -1568. What is the highest common divisor of i and 440?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -499*s**3 - 2019.\nAnswer: -1497*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2. Let c(h) = -17*h - 11. Let f be -10 + 2\/(-3)*(-3)\/(-2). Let l(x) = 6*x + 4. Let q(k) = f*l(k) - 4*c(k). Determine q(z(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o - o - 46 = 0. Which is the closest to o? (a) -2\/9 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 339533 - 339533.1500022. Let l = -0.05 + -0.1. Let p = l - h. Round p to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/2 - 1\/4. Let f be 0 - -1 - 2 - 10\/20. What is the smallest value in f, i, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -952 + 2103. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 2*b**2 - b. Suppose -p - 8 = 3*p. Let o be k(p). Find the third derivative of -g**o + 3*g**2 + g**6 - 4*g**2 wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -3*t**3 + 537*t**2 - 2457*t + 2433. Factor k(n).\nAnswer: -3*(n - 117)*(3*n - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/20 and -1\/15830?\nAnswer: 31660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 9:15 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -107, 4, 3.\nAnswer: -107, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (4\/10)\/((-1)\/(-10)). Let t(c) = -c**3 - 4*c**2 + 7*c - 2. Let r be t(z). Let j = r + 26. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = s - 21, 2*s = -s + 5*t + 28. Let b = 9 - s. Calculate the highest common factor of b and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s*s*s\/(s\/s**9)))*s)\/(s*s**(-2\/13)))\/(s*s**3\/s*s**(5\/4)) assuming s is positive.\nAnswer: s**(411\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**2 + 2. Let q(o) = -85*o**2 + 35. Give 35*k(r) - 2*q(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(1900)*2 - 4*sqrt(57)\/sqrt(3)) + sqrt(57)\/(6*1*sqrt(3)) - ((1 + sqrt(1216) + 2)**2 + -4)*5)*1.\nAnswer: -6105 - 1337*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 23*w**2 - 26*w - 1. Calculate o(-24).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeejee. Give prob of sequence eee.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/306 and 121\/408.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdzzdddddddddzdddz. What is prob of picking 4 d?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 523213 (base 7) to base 16\nAnswer: 15f76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 4*m - 1. Let z(j) = j - 5. Let t = 16 - 7. Let w be z(t). Let y be p(w). Is y <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.0979 rounded to 1 dp?\nAnswer: 62.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w + 237. Let i be z(-56). Solve 422*a = i*a - 34 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q - 2. Calculate d(-6).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 78856.17mg?\nAnswer: 78856170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2141, 2124, 2099, 2060, 2001, 1916, 1799, 1644?\n\"Answer: -d**3 + 2*d**2 - 16*d + 2156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*c - g + 3, -5*c + 45 = 5*g. Suppose -22 = -c*v + 42. Suppose 0 = q - v - 48. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7660053 (base 8) to base 9.\nAnswer: -3773555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 14*p - 6. Give h(-15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-40)\/(c**2*c*c**(2\/13)\/c) assuming c is positive.\nAnswer: c**(-28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y + 1. Let j be c(-1). Let n be (-1)\/(j*1\/6). Suppose p = 4*p - m - 84, 0 = m + n. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = z, -10 = n + 5*z + 4. Let f = -37 + 104. Let g = n + f. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 11*c. Let j(s) be the second derivative of 1\/20*s**5 + 0*s**2 + c*s**4 - 1\/6*s**3 + 0 + 2*s. Find the second derivative of j(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*i**3 - 235*i**3 - 13*i**3 + 173*i**3 - i + 2*i.\nAnswer: -537*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -7*y**3\/3 + 4*y + 22. Let l(h) = 8*h**2 - 5. Calculate -5*a(t) - 4*l(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 14*c**4 + 172*c**3 - 134*c**2 - 47*c. Let y(i) = 14*i**4 + 172*i**3 - 134*i**2 - 46*i. Let s(v) = -5*y(v) + 6*z(v). Let s(k) = 0. Calculate k.\nAnswer: -13, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 667097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cipianncncnni. Give prob of picking 1 n, 1 i, and 1 c.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/5 - 2001658*v\/5 - 24019608\/5 = 0.\nAnswer: -1000817, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 10179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 6:02 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -496136 + 248?\nAnswer: -495888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**4 - 5*x**4 - x**4 + (2*x**4 - x**2 + x**2)*(2 - 3 + 3) + (-2 + 2*x**4 + 2)*(124 - 73 + 61) to c*x**3 + v*x**2 + s*x**4 + h + z*x and give s.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -7*r + 2. Let j = 12353\/285 + -1\/95. Let n = 43 - j. What is the closest to n in r, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/390925 and 59\/94645.\nAnswer: 8991275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20775.564043 - -20788.564. Let r = -225 + 212. Let n = r + b. Round n to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -56946\/7 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 463\/5 + -97. Let p be (15\/(-45) + (-7)\/6)\/(69\/184). What is the biggest value in 2, r, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 451\/(-246)*16\/(-44).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182664290?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*25\/20*4\/20*4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 1 - ((-5 - 1) + -26 + 40).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 470 and 51117670.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13232122 (base 4) in base 13?\nAnswer: -11530","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -11 - 1. What is the third smallest value in z, -0.3, -20?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17162, -34348, -51560, -68810, -86110?\n\"Answer: -2*o**3 - o**2 - 17169*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -23. Let b = u + 23. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - -14 - 48) + -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(1\/4)*r*r)**(-29)*(r*r**(2\/15)\/r*r)\/r**(3\/2)*(r\/(r\/r**1*r*r*r)*r)**(-2\/43)\/((r*r**(-3\/7)*r*r)\/r**(-2\/7)) assuming r is positive.\nAnswer: r**(-2807017\/18060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - 3)\/4 + -8 - -7. Suppose p + 1 = -m, 4 = -2*p - 3*m - 2. Suppose 2*y + 2*y - 11 = -b, i = -p*y - 15. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6802477079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - 27. Let u = o + 73. Solve -b + 6*b - u = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:07 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51589, 210965, 476593, 848473, 1326605?\n\"Answer: 53126*c**2 - 2*c - 1535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h. Suppose -6*i + 46 + 50 = h. Suppose 3*a = 3*r + 4*a - 9, -4*a - i = -r. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 87, 177, 269, 363, 459, 557?\n\"Answer: a**2 + 87*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36967\/429 + 72\/143. Let w = z - -85. Let p = -2 - -1.6. Put 1\/6, w, p in descending order.\nAnswer: 1\/6, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*t = -15396 + 3660. What is the remainder when 841 is divided by t?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 11 - 19 = 4*y + 2, 3*y + 664*q = 659*q + 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1134 and -69\/87458.\nAnswer: 7084098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 53 = -f, -t + 5*f - 1 = 2*f. Let n be (-42)\/t - (-3)\/(-15). Factor -4*u**5 + 143*u**3 - 143*u**3 + 4*u**n.\nAnswer: -4*u**4*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 15758103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -5*d - 5*c, 9*d - 10*c + 35 = -5*c - 2*c - 100 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24 (b) -3 (c) -8384 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4273*j**2 - 4349*j**2 + 12732*j**2 - 4234*j**2.\nAnswer: -124*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -179900000 to the nearest one million.\nAnswer: -180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**8\/28 + 11*d**5\/10 - 1619*d**4\/12 - 318*d. What is the third derivative of r(x) wrt x?\nAnswer: 240*x**3 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73414 divided by 285.\nAnswer: -73414\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 22*b + 23*b + 30*b + b**2 - 77*b + 2 - 3*b**4 in the form c*b**3 + t*b**2 + p*b + g*b**4 + z and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*g + 2. Let p be g + (3 - 6)\/1. Let q(o) = -2*o + 1. Suppose 0 - 3 = 3*n. Let m(y) = y - 1. Calculate n*q(s) + p*m(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 20.23. Let p = 4.23 - f. What is the nearest to -1 in p, -16, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 18. Suppose n*c + 2 = 4*c. Suppose -c*v + 84 = -102. Round v to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 339*m**2 - 14*m + 1. Let x(o) = -120*o**2 + 4*o. Determine 2*j(b) + 7*x(b).\nAnswer: -162*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -62, -91, -110, -119, -118?\n\"Answer: 5*a**2 - 44*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/11 (b) -11 (c) 0.4 (d) -3\/4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/138 + (-15 + (-667)\/(-23) - 12).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36740015629 and -0.2.\nAnswer: 36740015628.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 407*j**3*l**2 - 144*j**3*l - j**3 - j**2*l wrt l.\nAnswer: 814*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -581618868 by 3.\nAnswer: -193872956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = 3*d. Let n(l) = 0 + 0*l**2 + l**d - 1 - 2*l**2. Let p be n(0). Which is greater: 1\/2 or p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.69115 rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*v - 0*v. Let g = -4 - v. Solve g*p + 0 + 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2301 + 13012102113?\nAnswer: 13012033212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*h - 22 = 0, 3*w + 2 = -86*h + 87*h. Solve 111*m = 114*m - w*n + 9, 0 = -3*m + 4*n - 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6471*q - 6471*q + 8*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 592915283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/7 - 6*l**2\/7 - l.\nAnswer: l*(l - 7)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/28413 and -155\/8118.\nAnswer: 56826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 256269348 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -6. Let m(u) = 6*u**2 - 4*u - 20. Let a(v) be the first derivative of 4*v**3\/3 - 3*v**2\/2 - 14*v - 2. Let h(i) = 7*a(i) - 5*m(i). Give h(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 74*r - 3. Let q(v) = -111*v + 4. Determine -7*j(b) - 5*q(b).\nAnswer: 37*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 t when three letters picked without replacement from {t: 7, z: 2, c: 2}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 8, -617, 2\/15, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 59 times 0.07\nAnswer: 4.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6112526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*q - 3. Calculate the smallest common multiple of 10 and (-3)\/(q\/(-8) + 0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -206\/13 - -16. Is t >= -1\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-4))\/(10\/(-12))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 85, 198, 323, 448, 561, 650, 703?\n\"Answer: -2*v**3 + 18*v**2 + 73*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**5\/30 - l**4\/4 + 2*l**3\/3 - l**2. Let g(i) = -3*i**2 - 17*i + 10 - 3*i**2 + 0*i**2 + 1. Determine -11*a(m) + 4*g(m).\nAnswer: -2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j + 4. Let i(d) = 1. Let l(h) = -a(h) - 2*i(h). What is the derivative of l(m) wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6400*j*y + 8302*j + 745594739*y with respect to j.\nAnswer: -6400*y + 8302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3613740021 to the nearest integer?\nAnswer: 60114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 0*h**2 + 5*h + 0 - 1\/6*h**4 - 1\/3*h**3 - 1\/40*h**5. Solve c(z) = 0 for z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -48, -65, -78, -87, -92, -93?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 473 divide 142968507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -3) + 5*6409\/3190.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 6*o**2 + 8*o + 25. Let d be t(-3). Let v be ((-6)\/(-7))\/(2\/d). Solve -6*l = -12 - v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5\/13 + 377922*j**4\/13 - 7557892*j**3\/13 + 47613524*j**2\/13 - 74064186*j\/13 - 129613526\/13 = 0. What is j?\nAnswer: -1, 7, 188941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15750 and 25074?\nAnswer: 3134250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 5*w + 64, 0 = -12*v + 11*v + 4*w + 7. Let n(s) = s**2 + 13*s + 9. Determine n(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 232 = 2*k, -2 - 2 = -k. What is the greatest common divisor of v and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-2)*131\/(53186\/(-464))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 17*k - 60. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -b + 30 + 5, -5*h - 10 = 0. Suppose 2*c = -a - b, -c + 53 = -2*a - a. Let t = a - -39. What is the highest common divisor of 50 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 79*l - 3582 = 84*l, 2*q = -5*l + 7269. What is the remainder when q is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 103053727 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.10915961.\nAnswer: 0.054579805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5288 is divided by 1278.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y + 228 + 2*y + 230 - 455. Give n(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -2\/19, 6, -5 in ascending order.\nAnswer: -5, -2\/19, 0.8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5729323.\nAnswer: 17, 23, 14653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38479.13 rounded to the nearest one hundred?\nAnswer: 38500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = 35*z + 27 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27010 and 22265?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 5. Suppose 3*o + j = 23. Is (13\/(-4))\/(o\/(-24)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005714954 rounded to seven decimal places?\nAnswer: -0.0000571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7070 and 1750.\nAnswer: 176750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -694, -1424, -2192, -2998, -3842, -4724?\nAnswer: -5644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371555?\nAnswer: 5, 74311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0*r**3 - 3*r + 5*r**2 - 2 - 2*r + r**3 + 8. Determine k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/31299 and -73\/3776746.\nAnswer: 11330238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**2*y**2 - 3*q**2*y - 265*q**2 - 475*y**2 wrt y.\nAnswer: 4*q**2 - 950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000310637 to 6 decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19800093.\nAnswer: 3, 6600031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + (-6)\/10)*10. Suppose 0 = b*o - 6 - 6. Let l = 10 + 10. Solve l = a + o*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 764 or 37463\/49?\nAnswer: 37463\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 10*v = -12. Let p = v + -2. Let f(q) = q**3 - 58*q**2 - 121*q + 61. Let u be f(60). Which is bigger: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3599 - 130 = -698*q - 14679 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3920)\/2800*(-1)\/(1\/15)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82045325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 - 43*q**2 + 16*q - 29. Determine l(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**3 + 15*d**2 - 8*d + 11. Let q(l) be the second derivative of -3*l**5\/20 - 2*l**4\/3 + 2*l**3\/3 - 3*l**2 + 136*l - 3. What is 11*q(r) + 6*u(r)?\nAnswer: -3*r**3 + 2*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/(-15) + 0 + -5.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1763, -17, -3, 9.\nAnswer: -17, -3, 1, 9, 1763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79694 or -79695?\nAnswer: -79695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 337389 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-21)\/(-5) + -4 + (-79829)\/(-5) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let j = -5371\/24 + 224. Let d(x) be the third derivative of -j*x**4 - 6*x**2 + 0*x + 0 + 0*x**3. Give h(d(f)).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 412*d + 70434 - 70434 as i*d + w and give i.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {i: 5, l: 1, r: 3, c: 5, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139 times -0.2?\nAnswer: -0.0278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 731 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 14) in base 11?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + l - 11. Is s(-5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2461*h**3*y**3 + h**2*y**3 - 7*h*y**3 - 12 wrt h?\nAnswer: 14766*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3349244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1702568 to the power of 1\/2, to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 4:51 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) - (sqrt(60) + sqrt(15))) + sqrt(15))\/sqrt(5) + (3*sqrt(3) + -1)**2)*4*4.\nAnswer: -112*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124 - -127. Let v(o) be the first derivative of o**2\/2 - o - 2. Let p be v(1). Solve p = 2*m - 2*q, 24 = -4*m + k*m - 5*q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*g + 93*g**3 + 72*g.\nAnswer: 93*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 10*a + 2*f, -5*a = -f. Let n(t) be the second derivative of a + 2\/9*t**2 + 4\/27*t**3 + 1\/27*t**4 + 10*t. Find o such that n(o) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 274, 450, 626?\n\"Answer: 176*o + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 82.172 and -139696.675?\nAnswer: 139778.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2486805841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 - -35?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12560?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 561566666 - -3?\nAnswer: 561600002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35820, -71683, -107546, -143409, -179272?\nAnswer: -215135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9126?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i*o**3*q + 58*i*o*q**3 - 13*o**3*q - 2*q**3 wrt i.\nAnswer: 2*o**3*q + 58*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 4, s: 6, p: 5}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 993, 3929, 8821, 15669, 24473?\n\"Answer: 978*q**2 + 2*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2 + 1 + p + 3. Let k be w(-2). Let v = k + 6. Calculate the least common multiple of 2 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306 by -386.\nAnswer: -153\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-162))\/(1267\/3258)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -882 + 878. Calculate the remainder when 99 is divided by -25*(b - (2 + 48\/(-15))).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -3.9. Let c = -640 - -644. Let t = 0.2 - 0.3. What is the smallest value in c, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -20*n**3 + 268*n**2 + 176*n - 112 = 0.\nAnswer: -1, 2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -4. Let i = -1 - b. Let j = i + 2. Which is smaller: j or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-5)\/(20\/6)). Suppose 0 = -5*f + 4*y - 12, f + c*y - 12 = 5*f. Put f, 2, -2 in descending order.\nAnswer: 2, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 - 3.2. What is the closest to -2 in 5, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-15 - 15) - (-3 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4 - 9*d + 3*d**2 - 1 - 4*d**2 - 12*d**2. Let a(q) = 3*q**2 + 2*q + 1. Suppose -8*t + 13*t = -10. What is t*k(y) - 9*a(y)?\nAnswer: -y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -18.5. Let q = -0.188 - -0.088. Let s = q - 4.9. Put -1, f, 5, s in decreasing order.\nAnswer: 5, f, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w**4\/2 - 147*w**3\/4 - 633*w**2\/4 + 2361*w\/2 - 990 = 0. Calculate w.\nAnswer: -6, 1, 4, 55\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -856910.509931 - -856910. Let m = 0.51 + l. What is m rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*g**3*k**2 + 2*g**3*k*v**4 - g*k**2 - 7*g*v**2 - 61*k**2*v**4 wrt v.\nAnswer: 48*g**3*k*v - 1464*k**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 355463569?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.19 or 74?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -20*l - 10. Is 30 a factor of x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4192 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4541758?\nAnswer: 2, 13, 307, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = 5*z, -3*z - 2*p + 14 - 4 = 0. Factor z*a - 5*a**2 + 0 + a**2 - 2 + 2*a**2.\nAnswer: -2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - x - 1 = 0, 19756*l + 4*x = 19742*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -601 (base 9) in base 14?\nAnswer: -26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -512*l. Let c(v) = 42*v - 42. Determine i(c(j)).\nAnswer: -21504*j + 21504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.89 + 1.27. Let i(q) = -q. Let w be i(2). Is y at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**4\/6 + 558*t**3 - 355806*t**2 - 186215760*t - 18561506400 = 0?\nAnswer: -180, 1854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 16 = -4*b. Let c(q) = q - 4. Let w(a) be the third derivative of a**4\/12 - a**3 - a**2. Give b*c(k) + 5*w(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22914 and 238146.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -204 - -212. Suppose -4*p - 304 = -w, -5*w - 3*p = -o*p - 1595. What is the greatest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -361 - -15152?\nAnswer: 14461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 3*z - 1 - 12, 0 = 5*z - p - 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18110 = 4*a + z, -35*a + 33*a + 2*z = -9060. Does 75 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 25564 = -a, 1217*a - 1214*a + m - 76757 = 0. List the prime factors of a.\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*m - 1781*m**2 + 1779*m**2 - 2 + 1 - 6 in the form a + p*m + r*m**2 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4324, -4273, -4194, -4093, -3976, -3849?\n\"Answer: -c**3 + 20*c**2 - 2*c - 4341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21600360749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 bigger than -86800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1368692, 1368687, 1368680, 1368671?\n\"Answer: -h**2 - 2*h + 1368695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**6\/135 - k**5\/270 + k**4\/27 + k**3\/27 - 5*k**2. What is i in g(i) = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 3*y**2 + 5*y + 1. Calculate v(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-60)\/(-9)*12\/(-5). Let t be 2\/(-10) - c\/5. Suppose 0 = -t*u + 1 + 164. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30336467?\nAnswer: 7, 353, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 36*b. Let s(k) = -40*k**2 + 4. Calculate s(q(j)).\nAnswer: -51840*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29612787 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8214*i**2 + 1159*i**2 - 1131 + 1131 - 1432*i**2 to v*i + m + g*i**2 and give g.\nAnswer: -8487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 + 7*i + 5. Let p be k(-5). What is the remainder when (4\/3)\/((-10)\/p) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2254, 2256, 2258?\n\"Answer: 2*r + 2252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, i: 1, f: 1, a: 2}. Give prob of sequence afjj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + 1 + (2 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 179*v*y**5 + v*y**2 - 208*v*y + 2*y**6 + 7*y wrt y?\nAnswer: 10740*v*y**2 + 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362527 (base 9) to base 12.\nAnswer: a6481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/7 - 60*s**2 - 4200*s - 98000.\nAnswer: -2*(s + 70)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-34 + 34 + 7*w**3) + (-w + w - w**3)*(-19 + 12 + 10).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 3*s - 36. Let m(h) = h**2 + 26*h + 2. Let l be m(-29). Suppose -11 = -10*f + l. What is the units digit of y(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19741\/5 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1 + (-1 - 2 + 2)*(-2 + 3 + 0))*(-47 + 47 + 9*h**2)*(2 - 2 - 1).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 200, -25 in descending order.\nAnswer: 200, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 3*g**3 + 2*g**3 + g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 + 165 = 5*b. Let p be (-2)\/(-6) + b\/(-3). Let m(u) = -u**2 + 27*u - 39. Is m(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42 - 42)\/(6 - 12\/3). Which is bigger: 37\/63 or n?\nAnswer: 37\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 19*v + 6. Let m be y(-19). Suppose -281 = 4*b - 3*c, -m*c - 263 = 4*b - 3*c. Does 6 divide 1 - b - (7 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/23, 10, -1\/3 in descending order.\nAnswer: 10, 5\/23, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 75*t + 1. Let n be k(1). Suppose -p + n = 3*p. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5125 - 5124.5. Let m be (-3)\/5 + 1\/1. What is the second biggest value in 57, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/4, 2.35, 0.4 in increasing order.\nAnswer: -2, 0.4, 3\/4, 2.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115780066 by -5.\nAnswer: 115780066\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 0. Let s = 1005\/28 + -50\/7. Let d = s + -29. Which is the closest to d? (a) -2 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 25852, -0.2, -3, 9, -5 in increasing order.\nAnswer: -5, -3, -0.2, 0.4, 9, 25852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8648278 rounded to three dps?\nAnswer: 1.865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17282?\nAnswer: 2, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2 + 1 + sqrt(75) + (sqrt(75) - (sqrt(75) - (-1 + sqrt(75))*2)))**2 + (1 + 1 + sqrt(75))*-4).\nAnswer: 30*sqrt(3) + 2004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmf when three letters picked without replacement from {m: 6, f: 4, p: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 - 40*v**2 + (-3*v**2 - 2*v**2 + 3*v**2)*(-141 + 12 - 190) in the form z*v + n*v**2 + q and give n.\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*t - 29*t + 3802. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from lfqzznzljzlz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - 2*m + 2. Let v(t) = 6*t**2 - 5*t + 4. Let u(n) = -5*p(n) + 2*v(n). Let y(h) = -5*h + 5*h + 2 + 2*h**2. Determine 3*u(q) + 4*y(q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 5*g + 4, -2*b - 205*g + 28 = -210*g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 62*n - 368. What is z(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 not equal to -129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10981 + -10978. Sort 2, 0, 1, b in decreasing order.\nAnswer: b, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2 (c) -8 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -36 + 58 - -16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -45. Let t(m) = -m**2 - 29*m + 6. Let i(g) = 10*g - 2. Let u(c) = l*i(c) + 6*t(c). Factor u(b).\nAnswer: -2*(b + 1)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -7579 + 7565 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 37*k - 16. Calculate w(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -179 - -8.5343\nAnswer: -170.4657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24393492 and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000878947 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -14272?\nAnswer: -14264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i + 11 - 51 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 8*h + 1. Suppose u - 2*p - 35 = -7*p, 3*u - 2*p - 105 = 0. Calculate the remainder when u is divided by m(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 13*j = 630. Calculate the least common multiple of j and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/2)\/(15*(-12)\/(-1080)). Let q(h) be the second derivative of h**3 - 2*h**2 + 6*h. Let j(i) = 30*i - 21. Calculate z*q(u) + 4*j(u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*z - 3*h, 0 = 4*z - 3*h + 6 - 2. Find the third derivative of 0*q**6 - q**6 + 6*q**2 - 3*q**z wrt q.\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8344 and 2058.\nAnswer: 1226568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27724 is divided by 359?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwrgegrgrrzggee. What is prob of sequence egz?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 9*h - 9. Let b be x(-7). Let a(o) = 2*o + b*o - 4 + 0*o + o**2. Let l be a(-8). Let j(c) = -3*c + 5. What is j(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(5\/(-30))\/1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 91 = -2*n + t, 0 = -3*n - 4*t + 124. Let d be (9\/(-2))\/(2\/(-8)). Calculate the greatest common factor of d and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 26235*f + 6212990.\nAnswer: -5*(f - 227)*(f + 5474)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3319*s + 1140 = 3376*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 - c**4 - 2*c**5)*(1081 + 273 + 971).\nAnswer: -4650*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 67*b - 75*b to m + k*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*v - 62 = 0, 3*i = -i + 4*v - 48. Let q = i + 28. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (4 - -1) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4110 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 2*j = 0, -797*u + 3*j = -798*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15062674, 30125348, 45188010, 60250654, 75313274, 90375864, 105438418, 120500930?\nAnswer: 135563394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 4:46 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -9*g + 31. Solve 7*f = g*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/1)\/(38*(-28)\/(-532)*(-2)\/(-6)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*l - 0*q - 958, -q = 2*l - 382. Find the common denominator of 1545\/(-45)*(-6)\/40 and l\/4 + 6\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11218580 rounded to the nearest ten thousand?\nAnswer: -11220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 19915940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001011110 - 110001100101001?\nAnswer: -110111110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222300 divided by -19.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 3:59 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/12 - 5\/36. Let b(h) = h - 1. Let f be b(1). Which is smaller: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1727 - 39083\nAnswer: -39083.1727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 2:01 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 2. Let n be m(3). Let u = -4205 - -727460\/173. Let i = 5897\/519 + u. Is n greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7))**45*((h*h**(-1))\/h)**42*(h**(-1))**(-41)\/((h\/(h\/((h**0*h)\/h)))\/(h\/(h\/h**3))) assuming h is positive.\nAnswer: h**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwxttxxxxx. What is prob of sequence tx?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6196 - -6183. Suppose 2*u + 12 + 8 = 2*y, -2*y - 5*u = 15. Let o = y - k. What is the remainder when 28 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -33. Suppose 44 = 77*b - 7656. Calculate the highest common factor of b and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/12 + 3*z**3\/2 + 4*z**2 + 38*z + 2. Determine k, given that i(k) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169128 and 46539.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(-1)\/(-2)*-2. Suppose v = -o - o. Let m = 91 - 90. Which is the closest to m? (a) o (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -267 or -7770\/29?\nAnswer: -7770\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Suppose -57*a + 3 = -54*a. Let v(r) = -2*r - 1. Let z(t) = -26*t - 10. Let i(u) = 8*v(u) - z(u). What is a*i(g) - 4*k(g)?\nAnswer: 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpan when four letters picked without replacement from nlpraph.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t*t\/t**(-1))\/t)\/t)**(-48)*(t*t*t*t**1)\/t**3)**11)**(16\/3) assuming t is positive.\nAnswer: t**(-8272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 - 101270*w\/7 + 177216600\/7.\nAnswer: 2*(w - 48820)*(w - 1815)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 2, k: 2, t: 2, f: 1}. What is prob of picking 1 r and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, j: 2, h: 4, s: 3, w: 3, b: 2}. What is prob of picking 1 j and 1 b?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:58 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1068, -8514, -28702, -68004, -132792, -229438, -364314, -543792?\n\"Answer: -1062*i**3 + i**2 - 15*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwz when three letters picked without replacement from {z: 3, s: 5, w: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2659.23 to the nearest integer.\nAnswer: -2659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -7286790518.\nAnswer: 7286790517.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17855 or -30644?\nAnswer: -30644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0643462ml to litres.\nAnswer: 0.0000643462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + -1)\/(71\/(-142)). Let d(y) = -15*y**2 + 18*y - 18. Let q(m) = -m**2 + m - 1. Give v*q(n) - d(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w**4 + 4*w**4 + w**4 + (3 - 2*w - 3)*(-w**3 - w**3 + 4*w**3).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 557941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 - 4*j**2 + 5. Suppose 2*g + 2 = 0, 4*g - 16 = 3*f - 2. Is q(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 4*x**3 + 11*x**2 + 6*x**3 - 11*x**2 to the form d*x**3 + y + m*x**2 + g*x and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11614, 11586, 11566, 11560, 11574, 11614, 11686, 11796?\nAnswer: 11950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -57. Suppose c*r + 3*r = 9. Solve -6*p - 6 = 5*a - 4*p, -r*p + 14 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + (sqrt(76) + -1 - sqrt(76))*-6 - (sqrt(76) - (2*sqrt(76) + 2))) + -2 + -6*sqrt(76)*-2)**2.\nAnswer: 336*sqrt(19) + 14932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2053 (base 6) to base 2\nAnswer: -111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 6, -3 in ascending order.\nAnswer: -3, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 - (31 - (-3 - -27)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/14 - 65\/7. What is the units digit of 1 + 14 + y\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1234 and 511493?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5350 - 5369. What is the closest to -3 in u, 3\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 14*s = -420. Let h be 51\/68 + (-37)\/s. Let c = 2\/33 - -95\/66. Sort -2\/17, h, c.\nAnswer: h, -2\/17, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three thirds of a week?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5, -y + 5*y = 5*a - 736. Calculate the highest common divisor of a and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181377523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -18*m**2 + 10. Let i(j) = 3*j**2 - 2. Let q(b) = -c(b) - 5*i(b). Let w(k) = 4*k**2 - 4*k. Calculate q(w(y)).\nAnswer: 48*y**4 - 96*y**3 + 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 13*i**2 - 24*i - 131. Determine f(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2\/s)**46)**32\/((s*s**(-1\/3))**(-37)*s\/s**3*s\/s**5) assuming s is positive.\nAnswer: s**(4508\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -124\/3. Let w = 0.09 + 0.01. Which is the nearest to w? (a) r (b) -1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2591893.\nAnswer: 23, 112691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/3, 0.1, -0.4, 57, 51, 150, -3?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 5*k - 4. Let p be w(3). Suppose 2*h = 4*y, y = 7*h - p*h. List the prime factors of (-16)\/(-2) - (1 + h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*l + 45, -8*l + 4*l - 35 = 3*g. Let o(w) = -2*w - 7. Give o(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 6*z - 3*z + 237, 216 = 2*d + 4*z. Let i = 23 + 0. What is the remainder when d is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 w when three letters picked without replacement from wnwnnwndnndnnnn?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-14)*2\/((-24)\/2590*5)?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000688270686 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from {r: 1, g: 1, v: 3, b: 5, j: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -62150, -62153, -62158, -62165, -62174, -62185, -62198?\n\"Answer: -a**2 - 62149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11009 times 0.17?\nAnswer: -1871.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -8\/5, 4\/3, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6355, -0.4, 149\/2.\nAnswer: -0.4, 149\/2, 6355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 6:12 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -380289 plus -138921?\nAnswer: -519210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f - 7. Calculate c(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 165\/((4 - 9)\/(-15)). Suppose -5*o + 940 = -m. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Let p(c) = -2*c + 5*c + 0*c. Determine g(p(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10188273?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36610*j**4 + 9*j**2 + 1254636*j wrt j.\nAnswer: 439320*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-7)*m\/m**(-4))**(2\/39) assuming m is positive.\nAnswer: m**(-2\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -10, 5, -1 in descending order.\nAnswer: 5, 2, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -21*x**3 - 9*x - 3. Let f(g) = -5*g**3 - 2*g - 1. Let a be 3\/(9\/(-6) + 0). Let j(n) = a*v(n) + 9*f(n). Find the first derivative of j(t) wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - sqrt(216)*-2) + sqrt(24)*-3*4 + sqrt(24))\/(sqrt(64)\/(sqrt(648) - (sqrt(648) + sqrt(648)*-2) - sqrt(648))*5).\nAnswer: -18*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 79441, 158881, 238321, 317761, 397201, 476641?\n\"Answer: 79440*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 4 + 15 - s. Let b be j(-7). Solve l + b*x + 0 - 2 = 0, 0 = -4*l + 2*x + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.57033 and -0.466.\nAnswer: -2.03633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227056 is divided by 1493.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9*w + 6. Calculate i(7).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23904 = 97*q - 844*q for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 24917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 15*c. Let s = 14 + -9. Let v(x) = -x + 10. Let j be v(s). Let n(b) = -2*b - 7*b + 5*b + j*b. Determine n(y(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 24. Suppose 5*v = 3*v, 4*p - 2*v - w = 0. Solve -4*l + p = -9*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225404 divided by 37?\nAnswer: 6092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4519 + 4567. Calculate the least common multiple of 240 and b.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 4 + (sqrt(13) + -1 - sqrt(13))**2 + sqrt(13) + -1 + 0.\nAnswer: 4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6105947.0948117+-0.1\nAnswer: -6105947.1948117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-36))\/((-91)\/(-104)). What is the nearest to r in -0.03, -0.1, -0.14, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 212 - 4\/3*u**2 - 200\/3*u = 0.\nAnswer: -53, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/4*(6 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 1. Let m(p) = 4*p**3 + 12*p**2 - 2*p - 7. Let d(f) = 3*f**3 + 10*f**2 - 2*f - 6. Let j(n) = 5*d(n) - 4*m(n). Calculate -4*b(a) - 2*j(a).\nAnswer: 2*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y - 34. Let s be z(10). Solve q = -q + s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 4, l: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-18)*(-2)\/8. Let s(j) be the first derivative of 1\/4*j**3 - 3\/4*j + l*j**2 - 1\/16*j**4 + 3. Let s(y) = 0. What is y?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {f: 1, i: 2, z: 1, o: 4, m: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39068, -2, -1989.\nAnswer: -39068, -1989, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 36 (b) 1\/2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 9\/2*j**2 + 2*j + 0 + 1\/6*j**3. List the prime factors of s(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 170778535\/56 - 3049486. Let h = -865\/7 + m. Let w = -92\/13 + 2039\/312. Find the common denominator of w and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46520586 is divided by 2903?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4021601*1\nAnswer: -4021601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(sqrt(171) + 1) + 0)**2*-6.\nAnswer: -37152 - 1296*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 3 + 13 - 101*p**3 - 3 + 343*p**3.\nAnswer: 242*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9 = -0*z - 5*t, -z + 3*t = -11. Let f be 1\/(z\/32*-4). Suppose -15*h = -4 - 56. Solve -f*r = 2*r - h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 17*s + 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3034862 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1693635 times -0.1\nAnswer: -0.01693635","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Work out 72234 - -4425.\nAnswer: 76659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 151856329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*h - 2*i, 4*i = 2*h + 67 - 57 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2701669 or -2701671?\nAnswer: -2701669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - r**2 + 4*r + 1. Let q = 9 - 12. Let d be k(q). Factor -6*u + 5*u**5 + 9*u**2 - 2*u**5 - 4*u**3 + d*u**3 - 9*u**4.\nAnswer: 3*u*(u - 2)*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1\/2 (b) -1 (c) 2 (d) -0.044\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6222, -12368, -18514, -24660?\nAnswer: -30806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 846?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31385348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 43 = 98*h - 95*h, -3*h = -5*u + 55 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**6\/10 + 3*m**5\/20 + 9*m**4\/4 + 11*m**3\/2 + 6*m**2 - 45*m - 86. Let a(d) be the first derivative of n(d). Factor a(b).\nAnswer: -3*(b - 4)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**4\/8 + 4*c**3\/3 + 16*c**2. Let m be i(-3). Let q(p) = -8*p**2 - 1. What is q(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3936*h - 3*v + 36 = 3933*h, 35 = -2*h + 3*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5 + 11. Suppose 51 = r*z + z. Solve -5*u + 3*j - 7 = 0, 2*u - u - z = -4*j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2032210 + 1?\nAnswer: 2032211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2 and -117\/920?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 76*l - 3844. Determine z(51).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 11:04 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001702 rounded to five dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255399, -251144, -244059, -234150, -221423, -205884, -187539, -166394?\nAnswer: -142455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0594278261 from -189.\nAnswer: -189.0594278261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*((5*x - 3*x - x)*(3*x**2 - 4*x**2 - x**2) + 2*x**3 - 3*x**3 - x**3)*(-663*x - 219*x**2 + 663*x + 3773*x**2).\nAnswer: 14216*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.65535 + 195.65677. Let h = -172 + o. What is h rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2\/4 + 904837*d\/4 + 7012727 = 0.\nAnswer: -31, 904868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*z*((z**0*z)\/z)\/z)\/((z\/z**0)\/z)**9 assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (63\/140)\/((-24)\/(-10)). Let m = g - 11\/16. What is the biggest value in 1.3, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2541 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/49? (a) -2\/3 (b) 24 (c) 5\/3 (d) -3 (e) -2 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159743\/62 - (1 + (-3)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40700254 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 30 = -5*v, 3*v - 3 + 9 = -3*m. Let n be ((-500)\/v)\/((-9)\/54). What is n rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 5:33 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -28 + 4 + (10 - (-3 - -4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 2*s**2 + 3*s**2)*(-2 + 2 + s**2) + 2*s**4 - 3*s**4 - 4*s**4 + 17*s**4 - 14*s**4 + 11*s**4.\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31694, -124458, -279062, -495500, -773766?\nAnswer: -1113854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3*(196\/189 + 20\/(-12)) and (-294)\/(-40) - 2\/(-8).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6873979 divided by 3.\nAnswer: -6873979\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 + 3*w**2 - 17*w - 1. Suppose 40 = -4*i + 8. Let h be i + 14 - (1 + -1). Let t be n(h). Round t to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*b + 101*b - 27*b - b**2 + 12*b**2.\nAnswer: 11*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/25 - 1 - 2) + 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - c)*(918464*c**2 - 918464*c**2 - 884*c**3) - c**2 + c**4 + c**2 in the form k*c**3 + r*c**2 + o*c + f + y*c**4 and give y.\nAnswer: 885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0*f**3 - 1\/30*f**5 + 0 + f + 1\/12*f**4 - 1\/2*f**2. Let h(a) be the first derivative of k(a). Factor h(b).\nAnswer: -2*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 1. Let u(c) = -3*c + c - 2*c**2 + 9 - 8. Let d be 2\/(-3)*6\/(-4). Let y be u(d). What is a(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czjrjrsjojcjr. What is prob of sequence ocz?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6277922352.\nAnswer: 2, 3, 13, 47, 71353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -34 (b) 4 (c) -0.237 (d) 1\/6 (e) 29\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.0231, 5\/3, -0.05, 6\/19, -2, 3, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/16 and 59\/670196324?\nAnswer: 2680785296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 + 0 - (-10 + 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 1 - 1)*(2 - 2 - 2*b**2)*(4*b + 0*b + 4*b).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 + 121 = -4*m. Suppose 2*j - y = 6, -m = -3*j + 3*y - 0. Let r(f) = -f**3 + 4*f**2 + 5*f - 4. Calculate r(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:02 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 9:06 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311131011 + 11?\nAnswer: 311131022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + k + 99 = 5*x, 0 = -2*x - k + 186. What is the smallest common multiple of x and 50?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10cc3 (base 13) to base 4.\nAnswer: 13200130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, 39, 125, 245, 399, 587, 809?\n\"Answer: 17*m**2 + m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -348, 3, 2\/3 in descending order.\nAnswer: 5, 3, 2\/3, 0, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582782447?\nAnswer: 3, 2861, 184409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/66 and ((-509174)\/10212 - -37) + (1 - -12).\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 45*z = -200 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 3*w + 13 - 2, 5*w + 41 = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -302122?\nAnswer: -302130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 10 - 0, -8 = -2*t + 2*b. Suppose 0 = -2*p - 3*q + 6*q + 60, -5*q = 4*p - 164. What is the greatest common factor of p and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7b1 + 9?\nAnswer: -7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1907900 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*n + 32, 5*y - 46 = -n. Let h(b) = 47*b**2 - 12*b + 12. Let d be h(y). Let w = 55051\/12 - d. Find the common denominator of -1\/18 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1012 = -x - x. Let l be 9\/3 - (-8058)\/16. Let o = l + x. Find the common denominator of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*l - 14. Let w(z) = z**2 + 3*z + 2. Determine w(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -332 or -333?\nAnswer: -333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736 is divided by 173.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154.66 + -30099332.\nAnswer: -30099486.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -24*i**3 - 9*i**2 - 2*i + 27. Is 11 a factor of s(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*z - 17 = 0, 5*h - 108*z + 104*z = 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/96 and 67\/6826584?\nAnswer: 27306336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - k - 2384 = 0, -1585 = -94*w + 92*w + 5*k. Does w = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/61178 and 1\/12.\nAnswer: 367068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + b + 1. Let d be 2\/(0 - 3\/(-9)). Suppose 0 = -2*w + d*w - 8. Let h(k) = 3*k**2 - 2*k - 3. Determine w*h(x) + 4*y(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 2*f - 4*f + (-3 + 2 + 3)*(5*f - 2*f + f) - 5*f + 16*f + 2*f to v*f + o and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.32 - -2.68. Let o be (-1 - 4)*(-3 - -2). Let s = 221 + -219. What is the smallest value in s, o, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from enenneeneeeene. What is prob of picking 4 n?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**9)**40*q**(-18)\/(q\/(q**27*q)))**(3\/7) assuming q is positive.\nAnswer: q**(1107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*m**2 - 280*m**2 + 663*m**2 + 202*m**2 + (0*m + 2*m + m)*(2*m - 4 + 4).\nAnswer: 593*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13163645?\nAnswer: 5, 11, 137, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.529 + -1.311. Round f to 0 dps.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1 - 0) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151666358 is divided by 1011109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337 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 -40*a + 7935 = 1855. Let b be (-10 - a\/(-16))*(6 - 0). Let t(c) = c**3 + 5*c**2 + c - 3. Let y(l) = 4*l**2 + l - 2. Give b*y(r) + 2*t(r).\nAnswer: 2*r**3 - 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(605) + -5 - sqrt(605)) + ((-2*sqrt(605) + sqrt(605))*-1)**2 + -3.\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine halves of a kilometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 324 - 312 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 129 (b) 5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/7 (b) -0.3 (c) 0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 264251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/5 + 1\/5. Let a = 0 - t. Differentiate -3*s**2 + 2*s**a - 2 + 1 wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 2. Let k be q(-3). Let b be (32\/(-20))\/(k\/10). Suppose b = -2*o + 6*o. Solve 14 = -2*w - z, 3*w - 2*w + 21 = -o*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 10*w - 40 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - g + 11 = 0, 3*q - 22 = -4*g + 8*g. Suppose q*c - 121 = 17. What is the remainder when c is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -42*b**3 - 41*b**2 - 57*b - 64. Let p(c) = -11*c**3 - 11*c**2 - 14*c - 16. Let h(u) = -6*a(u) + 23*p(u). Determine h(-10).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15124 + 36568. Is 70 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 14988*o**2 - 10. Let u(x) = 977*x. What is v(u(p))?\nAnswer: 14306480652*p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -158 in -4, 4\/3, 0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5129, -17, -0.077?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 679*f + 619*f = 7230 + 41270 + 61830 for f.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 61152 = -4*u, -39*z + 35*z - u + 48926 = 0. Calculate the greatest common factor of 88 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/458 + 3837\/3664. Calculate the common denominator of j and (-2)\/(-5) + 514\/140.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.1, -67, -1 in descending order.\nAnswer: 9, -0.1, -1, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -115 + (4 - 4) - (-1494 - -1459)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 26*o**2 - o - 4. Let y(s) = -52*s**2 + 2*s + 7. Let b(p) = -13*a(p) - 6*y(p). Find the second derivative of b(l) wrt l.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 59*h**5\/15 - 2949*h**3\/2 - 36*h**2 - 8. Differentiate n(p) with respect to p.\nAnswer: 472*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.24 - -11.5. Let x = 1.1 - i. What is x rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 8. Calculate a(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 8*l + 32. Let d be (-90)\/(-6) - (-70)\/(-10). Calculate the remainder when u(d) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 57. Suppose 32 = 4*a - 3*m, -c*a - 3*a = 5*m - 75. Calculate the remainder when 32 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6163 + 6163.1. Which is the nearest to 3? (a) -0.05 (b) 0 (c) z (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329420 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -6*n + 93. Let k = n - 26. What is the tens digit of (9\/k)\/((-8)\/(-120))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101 divided by -1101\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c + 16*c - 14*c. Let o(d) = d**2. What is o(a(p))?\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/7 (c) -47 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 218512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 2*y + y)*(1 - 9 + 5)*(13 + 14 - 5)*(0 + 0 + y).\nAnswer: -132*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1781281080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/6)\/d*d*d**(-1\/2)\/d)**(-2\/13))**7 assuming d is positive.\nAnswer: d**(56\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -38*k + 152. Let g be l(4). Let s = 2 + -5. Which is the nearest to -1? (a) g (b) -0.6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*w + 14519 = -157*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*y**4\/7 - 345784*y**3\/7 + 1803276*y**2\/7 - 327960*y = 0. What is y?\nAnswer: -4555, 0, 42\/19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 8. Let u be o(4). Let k(i) = 3*i - 6. Let c be k(u). Let n be 0\/1 + c\/3. Solve 0 = 5*f - 7 + n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601 - (-34 - 1)\/(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 x, and 1 c when three letters picked without replacement from {i: 2, v: 1, z: 1, c: 2, x: 1, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10581, 10569, 10557?\nAnswer: 10545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-9 - -5) + 9 - 2) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.46, -5, -2, 18, 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 163 - 149. Solve v + 3*v = -3*m - 35, 4*v + k*m = -30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17808, -17992, -18176, -18360, -18544, -18728?\nAnswer: -18912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8595412675 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25429267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13454 - 2562 + 3745 - 3*a.\nAnswer: -3*a - 12271","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 177 + -306 + 131 + (0 - 10) + 1 + -139?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18.6*12\nAnswer: 223.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 28 = 52. Suppose -4*a + 69 = 3*w, -5*a - 3*w + 51 = -36. Calculate the lowest common multiple of (h\/(-3))\/((-12)\/(-18)) and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386 is divided by 455?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -14. Let q(d) = 141*d + 1974. Determine 423*g(t) + 3*q(t).\nAnswer: 423*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1784 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 26 = -3*u + 5*u, u - 15 = -3*c. Let h = -1 - -2. Solve -h = x + u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 9) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*1\/((-63)\/(-14)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**4\/4 + 8*p**3\/3 - p**2 + 17*p - 145. What is t(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2823757979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12828122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i**4 - 20956*i - 84712?\nAnswer: 16*i**3 - 20956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -146 divided by 7591\nAnswer: -146\/7591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 73.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1)*i**5*i*i)**(-38)\/((i**(2\/7))**(-35)\/(i*i**(-1\/2))**(-3\/22)) assuming i is positive.\nAnswer: i**(-11267\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30871877 and 2708.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 65.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.469+-647519\nAnswer: -647520.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(1 - (1 + 1)). Suppose z*y = -5*y. Factor 2\/3*i + 0 + 1\/3*i**4 - i**2 + y*i**3.\nAnswer: i*(i - 1)**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 66882*r + 5350531. Calculate w(-80).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336288524 to the nearest integer?\nAnswer: 18338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102562, -410248, -923050, -1640968, -2564002, -3692152?\n\"Answer: -102558*t**2 - 12*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (38\/(-3))\/1*-3 is divided by (11 - 1)\/(2\/12*3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -494, -488, -480, -470, -458, -444?\n\"Answer: p**2 + 3*p - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) -9 (c) -5 (d) -1\/12 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:48 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -68862720 to the nearest one hundred thousand.\nAnswer: -68900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 10:16 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122\/3 + -41. Which is the nearest to t? (a) 5 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -107686*r**3 - 215272*r**2 - 107486*r + 100 = 0.\nAnswer: -1, 50\/53843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**3\/2 - 3*w**2\/2 + 8*w + 24 = 0.\nAnswer: -4, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 0\/(-3)) + 2. Suppose -g*f - 595 = -m, 3*f - 3364 + 361 = -5*m. Does 25 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1\/9 (c) -8 (d) 451.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*p = -p + 48, 2*p = g + 21. Let z(l) = 8*l. Let i(r) = -3*r. Let x(s) = s**3 + 5*s**2 - 5*s + 2. Let h be x(-6). Calculate g*i(a) + h*z(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 88*g + 1230. Give u(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 5, -46, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10260850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(4*z - z - 2*z) - z - 3*z + 5*z + (z - 1 + 1)*(-2 + 3 - 2) + 2*z - 3*z + 4*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*a - 12. Let h = a - 6. Suppose -2*n + 49 = 4*p + p, 0 = -h*n - p + 65. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 + 23*f**2 - 5*f + 9. Let w(n) = -2*n**3 + 19*n**2 - 5*n + 10. Calculate 5*q(j) - 6*w(j).\nAnswer: -3*j**3 + j**2 + 5*j - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*-6*(sqrt(66) - ((sqrt(66)*-1 - sqrt(66)) + sqrt(66))))\/(((sqrt(36)*-2 + sqrt(36))*5)\/sqrt(6)).\nAnswer: 2 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011120122 - 20200?\nAnswer: 1011022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*n**2 - 6*n**3 + 8*n**3 + 42*n - 8*n**2 in the form q*n**3 + o*n + b*n**2 + y and give o.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -15. Suppose 8*g = -3*o - 43, 0 = 3*g + 18 - 3. What is the closest to o in -2\/5, 2\/9, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 6*g**2 + 19*g - 24. Let i be h(8). Let z = -70 + 69. Put z, -1\/4, -0.3, i in decreasing order.\nAnswer: i, -1\/4, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -16. Calculate the lowest common multiple of k and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11471498366.96 + 0.5\nAnswer: -11471498366.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 382 - -497. Suppose -321 - x = -30*v. Calculate the remainder when (2 + 224\/6)*3 is divided by v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -54161162?\nAnswer: -54161156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.4 + 6.42. What is g rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - 5*h - 5. Let u(v) = 8*v**2 - 14*v - 14. Let s(o) = 2*o + 5. Let t be s(-5). Determine t*u(x) + 14*q(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/33)\/(25\/(-165))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -18*q**2. Let h(a) = 2953 + 17*a - 6*a - 2953. What is t(h(f))?\nAnswer: -2178*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 4:22 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.1 * -0.09731.\nAnswer: 1.761311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 112*u**5 + 2488*u**4 - 2001*u**3 + 527*u**2 - 46*u = 0.\nAnswer: -23, 0, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 10*l**2 - 8*l + 10. Let w be r(-9). Suppose -w = -a + 2. Sort 4, 1, a in increasing order.\nAnswer: 1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10752642 and 1118772.\nAnswer: 193547556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.95532 rounded to 2 decimal places?\nAnswer: -16.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1099938\/11 or 99993?\nAnswer: 1099938\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 10 - 31. Suppose 5*j + 5*y = 85 + 90, 0 = 4*j + 5*y - 141. Suppose 2 - j = -8*l. Solve -l*u - 7 = -3*w - 9*u, -3*w + 2*u = p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57887 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 81, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 4*k + 3. Let z be n(4). Let x = z - -3. Let f = -6 - x. Calculate the highest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, s: 1, e: 5, m: 6}. What is prob of picking 2 m and 1 c?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0 + 2*o**2 - 1\/24*o**4 + 1\/60*o**5 - 1\/2*o**3 + 0*o. Let h be z(3). Is 3 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12)*u)**4\/(u**(1\/4)*u**(-2)) assuming u is positive.\nAnswer: u**(-169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271393126 to the nearest integer?\nAnswer: 16474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -18177289 > -18177289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.031? (a) -4\/5 (b) 1\/4 (c) -15 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 4. Let o = -1.3605 + 4.3605. Suppose 0 = u - 0 + 3, 0 = 5*q - 3*u - 14. Which is the closest to q? (a) o (b) h (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + (-1 + 4 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169110 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 1015?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45424 or -45420?\nAnswer: -45420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6651 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 21 + 3. Let n = u - -1. What is the remainder when 28 is divided by 43\/n - (-5)\/(-35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3)\/h*h**(2\/5)*(((h*h**(-2\/7)*h*h)\/h*h*h)\/h)**(-4\/7)*(h**(-4)\/h)\/(h*h**(-3))*h\/(h*h**(3\/7))*h\/(h**(1\/8)*h)*h assuming h is positive.\nAnswer: h**(-15101\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*i - 3395396*a**3*i - 21920*a**2*i - 145*i wrt a.\nAnswer: 48*a*i - 20372376*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 34. Let r be (-10047)\/z - 14\/35. Factor -16*i**3 - 2 - r*i**4 + 2005*i**4 + 2 - 12*i**2.\nAnswer: -4*i**2*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j**2 + 30*j**3 - 2 + 2.\nAnswer: 30*j**3 - 21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18 - 16) + (-6)\/(-2). Suppose -2*b - x = -17. What is the units digit of ((-660)\/(-45))\/(4\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) -0.5 (c) 5 (d) -1102932\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1775 = -6*m + 11*m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*j**2*m**3*n**3 + 9*j**2*m*n*w - 7*j*m**3*w + 2*m**2*n**3*w + 6*m**2*n - 3*m*n**3 + 3*n**2*w wrt m?\nAnswer: 204*j**2*n**3 - 42*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 4*u + 3*j, -4*u + 0*j = j - 59. Let t be (90\/7)\/(2\/u). Let n = t - 46. What is the remainder when n is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (58 - -2)\/(1\/(-2)). Suppose -190 = -c + 29. Let u = c + y. What is the highest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.08 (b) 1123\/5 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -536?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**5*o**2 + 37*m**3*o + 2*m**2*o**2 - m*o**2 + 186*o**2 wrt m.\nAnswer: 60*m**2*o**2 + 222*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.57 + 1.07. Let h = -1.591 + 0.591. What is the nearest to 0 in 4, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdjaj. What is prob of sequence adj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10366 = -69*x + 16507 for x.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1758 - -1d348?\nAnswer: 1eaa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((165\/1210)\/(3 + -6))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 y when three letters picked without replacement from yjeiiyyeejjyi?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 237.48 - 1.48. Let c = 236.3 - v. What is the nearest to c in 0.3, -6, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zyyzlzyyzyzyy?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1131 and 174?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39\/134 + 22775\/938. Let o = 74\/3 - z. Let d = -61\/3 + 20. What is the second biggest value in -0.5, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 9 = -3*n, -3*n + 17 = 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = 0, 5*z = -3*x + 7*x - 36. Let n = 30 - 6. Let w = n - x. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-99))\/(2*1\/(-30)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(((-30)\/(-8))\/(-5)). Let v(y) = -6*y - 95. Let x be v(0). Let i be x\/(-20) - 1\/c. Solve 5*q = 3*b - 22, -i*q + 5*b - 24 = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 + 9 = 0. Suppose 9*r = 10*r + 1. Sort r, 3, i.\nAnswer: i, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018988481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/126 + 15*(-2)\/(-70). What is the biggest value in 1\/2, k, -9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -4. Calculate the highest common factor of 98 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -85 and -79 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c - 87 + 19 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*h**2 + 0*h + h - 106*h**2 + 48*h**2.\nAnswer: 5*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 2108 + 2033 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4\/29, 12\/5.\nAnswer: -9, -4\/29, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110620665 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 2*r**2 + r**3 + 2*r**2 + 3*r**4 - 6*r**2.\nAnswer: 3*r**2*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-2)\/60 - 0)*6.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 869870179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 5. Let t(s) = -30*s + 120. Let i(m) = -24*g(m) + t(m). Let h(d) = -32*d. Give i(h(b)).\nAnswer: 192*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**7\/630 - p**6\/45 + 17*p**5\/180 - 5*p**4\/36 + 548*p**2. Factor u(m).\nAnswer: m*(m - 5)*(m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1348620535 by -5.\nAnswer: 269724107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 12:40 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 14*r**2 - 17*r - 20. Let q(y) = 39*y + 297. Let u be q(-8). What is b(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15719, 15722, 15733, 15758, 15803, 15874?\n\"Answer: z**3 - 2*z**2 + 2*z + 15718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226478335.\nAnswer: 5, 17, 2664451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.82 - 0.08. Let p = 1.6 + x. Which is the second biggest value? (a) 0 (b) p (c) -6 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16096664 plus -0.77?\nAnswer: -16096664.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 1. Let s(m) = 14*m - 100. Let i(y) = -y - 34. Let v(b) = -3*i(b) + s(b). Calculate 2*l(u) - v(u).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594 = 27*t - 486 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/16520 and 139\/86068020.\nAnswer: 1204952280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 - 6*s**2 - 3*s**2 + 2766*s**4 - s + 15*s**2 - 529*s**4 in the form f + n*s + a*s**3 + z*s**4 + t*s**2 and give z.\nAnswer: 2237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 + 1288*u\/9 - 5120\/9.\nAnswer: -2*(u - 640)*(u - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**3\/6 - k. Let i(j) = 183 - 177 - 6 + 20*j. Determine c(i(s)).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9738 + -9749. Let a(q) = 2*q - 7*q**2 - 7*q + q**2 + 5 - 5*q**2. Let y(t) = 22*t**2 + 11*t - 11. Determine b*a(p) - 5*y(p).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.8 - 27.51. Let o = 0.29 - d. Let s = -2 + 1.5. Put 0.05, s, o in decreasing order.\nAnswer: o, 0.05, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -756 divided by 189.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*y - 1, -4*h - 3*y = -127. Suppose -3*s + 12 = -3, -p = 5*s - h. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 + 3?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6266 is divided by 2364?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 - 2*z**2 - z + 13. Determine w(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (7 - 10) - (1 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256 (base 11) to base 5.\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2. Let d be (-20)\/(-6)*840\/25. Let z = d - 105. Let q(u) = -6*u + z*u + 3*u. What is q(g(f))?\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 6, a: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9147416 to the power of 1\/2, to the nearest integer?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -106, -189, -270, -349, -426?\n\"Answer: c**2 - 86*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3892, -7672, -11330, -14860, -18256, -21512, -24622, -27580?\n\"Answer: z**3 + 55*z**2 - 3952*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.6 - -0.4. Is -1\/4 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*c - 175*c - 46848 = -501*c for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**2\/2 + 25*s + 5. Let q be p(-9). Let c(k) = -145*k - 1. Let r be c(-1). What is the highest common divisor of q and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*j + 3*j + j)*(845 - 3971 - 7359)*(-3 - 4 + 6) to the form k + b*j and give b.\nAnswer: -20970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/((-1)\/(-21)). Let f = u - -16. Let d(s) = -s + s - s**f + 5*s. Calculate d(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 26*b**3 + 2*b**2 - b. Let n be x(1). Suppose 0 = -3*j + n + 258. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -763*j = -792*j + 432928 + 87158. What is the remainder when j is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*v + 2*w, -1 = -5*v + w + 14. Let j be 1\/(-2) + (-3)\/9*39\/(-130). What is the third smallest value in 2\/5, j, v, -1\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + q + 1. Let l(t) = -5*t**2 + 4*t + 4. Suppose -5*z - m = -10, 4*z = -z - 3*m + 20. Give z*l(k) - 6*i(k).\nAnswer: k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-19)\/((-1900)\/(-40)) + (-47007)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/267812 and 7\/1562.\nAnswer: 2945932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9302.315 kilograms?\nAnswer: 9302315000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 2*t - 5 = 13*q, -4*q + 5*t - 9 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -151, -1827, -2\/15 in ascending order.\nAnswer: -1827, -151, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1313 - -1312. Which is the nearest to y? (a) -2 (b) -13\/3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1590 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Let b(n) = -7*n**2 + 9*n - 16. Give b(j(l)).\nAnswer: -28*l**2 + 18*l - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3337833 - 1081.\nAnswer: 3336752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 495 - 479. Suppose 0 = p*w - 882 - 1870. Calculate the remainder when w is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50131844 is divided by 309?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3782, 3769, 3756?\n\"Answer: -13*k + 3795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 101000012?\nAnswer: -101000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26091.\nAnswer: 3, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 4, 5 in descending order.\nAnswer: 5, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 55 = 3*j - m, 0 = 3*j - 4*m - 169. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 36. What is the derivative of -10727*q - 9 + 65*q**r + 10727*q wrt q?\nAnswer: 130*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000914705383 to seven dps.\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2353 + 1483 = 145*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4033 divided by -67.\nAnswer: 4033\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.68 greater than or equal to -3\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743654753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 7*x**2 + 3. Let j(d) = d**3 + 7*d**2 + 6*d - 7. Let w be j(-6). Let q be o(w). Suppose -1 + q = h. Solve -6 = h*c - 0*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147 (base 12) to base 7\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2 - 14*a - 16. Let j be 957\/198 + 0 + 10\/(-12). What is i(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**5 + 2*f**5 - 5*f**5 + (2*f + f**2 - 2*f)*(2 - 2 - f**3) + 43*f**5 + 48*f**5 - 16*f**5.\nAnswer: 77*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 440*o + 24200.\nAnswer: 2*(o - 110)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 8*q + 6. Let c be g(-5). Let p = c - 13. Factor 0*r**2 - 1\/4*r + 1\/4*r**p + 0.\nAnswer: r*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9142446 and 2265.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217675861.\nAnswer: 13, 331, 50587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256)\/(11008\/(-215))*(-6)\/290?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (1 - -5 - 1). Which is the third smallest value? (a) u (b) 1\/4 (c) 12\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) + 38608\/95. Let w = -360 + c. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(7\/((-35)\/(-25)))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 6*v + 2. Let b be s(3). Let y(d) = 3*d + b*d + 10*d - 6*d. Let o(p) = -2*p. Calculate y(o(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2. Let f(s) = -80434*s. Give z(f(m)).\nAnswer: 6469628356*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -165, -365, -645, -1005, -1445, -1965?\nAnswer: -2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49265*c**2 - 24651*c**2 - 24648*c**2.\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -6. What is the third biggest value in y, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(704) + 0)*1 + -4)**2.\nAnswer: -16*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 239152955, 239152956, 239152957?\n\"Answer: a + 239152954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 69*w**2 - 1449*w + 43. Does 33 divide m(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89189929 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 7*d**4 - 19*d**3 + 15*d**2 - d - 2 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46101 is divided by 6506.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-3) - 0) + 40371\/4611 + 74\/1961\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2379, 4649, 6697, 8409, 9671, 10369, 10389?\n\"Answer: -19*c**3 + 3*c**2 + 2394*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -0.1 (b) 0.3 (c) 2 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103917296 rounded to the nearest one million?\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 5*m + 34. Let a be n(-9). Let q(s) = s + 6*s**2 - 3 - 2 + 1. Let i be q(a). Calculate the greatest common factor of 72 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/1 - (-1428)\/(-378). Which is the nearest to 2? (a) p (b) -2\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -41 - (-430 + 452)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 7*h + 2. Let p be r(-9). Suppose 2*a + 2*a - p = 0, -5*a + 25 = -2*q. Solve q = 5*i - 26 + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.14253 - 0.14253. What is the closest to -4\/27 in 0.1, -0.3, 4, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lalbpllayplaly. Give prob of picking 1 p, 1 l, and 1 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4000964831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j**4 - 47682053*j**2 + 579958215 with respect to j.\nAnswer: 16*j**3 - 95364106*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -2.4?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 275 - 4*p - 134 + 112*p - 135.\nAnswer: 107*p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 23\/5, 5, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1814?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 90005213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/44 and -155\/252.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2169729 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/3 - 86*q**4 - 10240*q**3\/3 - 124672*q**2\/3 - 172032*q - 401408\/3 = 0. Calculate q.\nAnswer: -56, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-10)*i**(-2))**49 assuming i is positive.\nAnswer: i**441","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 37 = 5*v, 2*n = 4*v + 203 - 191 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71931 - 70*k + 71931.\nAnswer: -70*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.3, -9, 0.3, -0.03573, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10854 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30206*z**2 + 61545*z**2 - 13687*z**2 + 34652*z**2.\nAnswer: 112716*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*(-11)\/((-55)\/6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1268*y = -886*y + 2006*y + 801*y + 512*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9370 + 9366.22. Which is the second biggest value? (a) 5 (b) 0.4 (c) 3\/8 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*i + 20, 3*i = -i + 3*o + 9. Let y(n) = 4*n**2 - 15*n + 1. What is the remainder when y(5) is divided by (i\/4)\/(7\/42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28520*g**2 - 3*g - 37*g**3 + 0*g - 28521*g**2 + 1 - 23*g**3 to the form x*g**2 + z*g**3 + p + f*g and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 + 98. Let o(m) = -4*m + i - 13*m + 16*m. Let t be o(0). Is 13 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*d**2 + 3 + 140*d**2 - 67*d**2 - 3*d to p*d + u + y*d**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30584112 and 2576.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, l: 15}. Give prob of picking 2 y.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from sdnndddddnsddn?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/10)\/(w\/(w\/(w**4\/w))))**(-32)*((w**(-5)*w)\/(w\/((w**4*w)\/w*w)))\/((((w**(-2\/3)*w)\/w)\/w)\/w*w)**(13\/6) assuming w is positive.\nAnswer: w**(9253\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/9*60\/32.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182*k**5 + 4*k**2 - 12 wrt k.\nAnswer: -10920*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 b, and 1 y when three letters picked without replacement from {b: 3, l: 5, f: 6, y: 1, d: 2, g: 3}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**3 + 5*b**3 - 4*b**3)*(-1 - 3 + 5) + 863624*b - 863622*b + 3*b**2 - 378*b**3 - 89*b**3 to p*b + w*b**2 + n + j*b**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6218 is divided by 388.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 10 = -8*b. Suppose 5*d + 57 = y, -b*y + 91 + 75 = 3*d. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -98*q**4 - 24*q**5 + 98*q**4 + (4*q**2 - 2*q**2 - q**2)*(4*q**3 + 4*q**3 - 6*q**3).\nAnswer: -22*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 11:53 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232390847?\nAnswer: 13, 17876219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(200)).\nAnswer: 1 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -62*z**2 + 2. Let n(f) = 30*f. Determine n(t(c)).\nAnswer: -1860*c**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 16*y - 55. Let g be w(19). Suppose 2*r = -2, -2*a - r = -3*r - 8. Put g, a, -1, -3 in descending order.\nAnswer: a, g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11991 is divided by 87.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (92\/(14168\/(-231)))\/(3\/(-82))*1\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -296, -293, -300, -323, -368, -441?\n\"Answer: -k**3 + k**2 + 7*k - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/42 + 2\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/2 in 26, 0.4, -11\/6?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5))**33\/(l**(2\/53)\/l*l\/(l\/(l\/(l*l**(-8))))) assuming l is positive.\nAnswer: l**(-9118\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311154, 622310, 933466, 1244622, 1555778?\nAnswer: 1866934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1332.82 - -1333. Which is bigger: 4 or w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 15 - 12 - i)*(-2 + 4 + 0)*(-4*i - 9*i - 3*i + 2 - i - 2 + (-2*i - 4 + 4)*(3 - 3 + 2)) + (-1 - i + 1)*(0*i + 4*i + 2*i).\nAnswer: 36*i**2 - 84*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -396900 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -9. Let y = w + 4.9908. Round y to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-126))\/((-4)\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or 1713\/19?\nAnswer: 1713\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + l = g - 7, l = 3*g - 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 543564 and 126?\nAnswer: 543564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0. Let v = -727888\/15 - -48559. Let n = v + -33. What is the third smallest value in -2, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/11637711 and 54\/55531?\nAnswer: 81463977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 16*v**2 + 1426*v - 74. Calculate d(-89).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 36 = -3*j - 3*a, 77 = 5*j + 4*a. What is the remainder when 14 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0*v - 2*v)*(-47 - 81 + 103) + 2*v + 2*v - v to t + l*v and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4288286?\nAnswer: 2, 2144143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t + 30. Let x be p(7). Suppose 0 = 2*o - 4, 3*n - x = o - 6*o. Calculate the highest common divisor of n and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5 (b) 20 (c) -4\/47 (d) -0.1 (e) -0.3 (f) -4 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m - 2. Let t = 149 - 147. What is p(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -343 - -342. Put -2, -2\/15, d, -48 in increasing order.\nAnswer: -48, -2, d, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -67994285.67 and -482.\nAnswer: -67994767.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 1, c: 2}. What is prob of sequence xn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.03475 - 0.03475. What is the fifth smallest value in -2\/13, 0.2, -1\/2, -0.47, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 16}. Give prob of sequence rr.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7257302711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 53?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9736 = 26*k - 10154. Let l = -764 + k. Solve -4 = -5*x + l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3, 33*y - 36*y - 4*v + 4569 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - -4*sqrt(190)*2)\/((sqrt(40)*1)\/sqrt(4)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.36 in 2217, -0.1, 284?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5076 - -10845. List the prime factors of m.\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35018 is divided by 80.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 39*i**2 + 46*i - 161. Calculate the remainder when r(40) is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1488, 25951, 82320, 167619, 281848, 425007, 597096?\n\"Answer: 14465*s**2 - 15956*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3472065.\nAnswer: 3, 5, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 + 3*c + 6. Let r(n) = 2*n**3 + 9*n**2 + 7*n + 14. Let f(t) = -7*j(t) + 3*r(t). Let h(p) = p**2 + 6*p - 17. Let l be h(-8). Calculate f(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**3 + 55*h**2 - 99*h + 1. Let z be t(2). Let c = -0.3 - -0.1. Put c, z, 1, 0.04 in increasing order.\nAnswer: z, c, 0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3349647 divided by -90531.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3436351 (base 7) to base 16.\nAnswer: 68e33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26412612?\nAnswer: 2, 3, 2201051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biimimmmiummbmm. What is prob of picking 2 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -53*h**3\/6 - 65*h**2 + 63*h. Differentiate d(f) wrt f.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/16720 and 179\/5681760?\nAnswer: 62499360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 16*z**3 + 434*z**2 - 302*z + 47. Let g(p) = -3*p**3 - 87*p**2 + 55*p - 9. Give -11*g(f) - 2*i(f).\nAnswer: f**3 + 89*f**2 - f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6132?\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5759 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/((-75)\/(-5)))\/((26\/(-8))\/1).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -3619.8933.\nAnswer: -3621.8933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1502*t - 1207*t = -15635 for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1 + 3*n - 6 - 6*n - 3. Is 16 a factor of d(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/((-441)\/(-18)))\/((-5)\/(-70)). Solve -45 = -5*b - p*n, 4*n = 2*b + 3*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 27. Suppose 1550035 + 279965 = j*s. What is s rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(1\/9)\/x*x)*x)\/(((x**(-1\/2)\/x)\/x)\/x*x*x) assuming x is positive.\nAnswer: x**(61\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 5*c**2 + 2*c - 13. Let u(s) = -s**3 - 7*s**2 - s - 3. Let v be u(-7). Let y be a(v). Suppose -y*f = -83 - 445. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112181 greater than 112188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37\/9 - 121\/36. Let v = -0.11 + 0.41. What is the nearest to 1\/11 in s, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = -2*r, -t + 3*r = 3*t + 4. Let x be 6 + 0\/(2*t). Let a be (-2)\/(-3)*(52\/8 + 1). Solve -x = 2*l, -5*w - a*l + 2 + 8 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 100363 + 100363.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.124 + 2.124. Which is the closest to l? (a) -2 (b) 1\/2 (c) -4 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006 a factor of 477686774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014034823847 rounded to five decimal places?\nAnswer: 0.01403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -196\/3 - -2219\/33. Let c = -6\/289 + -20495\/1156. Calculate the common denominator of c and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5846057271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0*7.57\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 19. Let v = -1144\/3 - -382. Which is the nearest to 0.01? (a) u (b) v (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, u: 2, a: 3}. Give prob of picking 1 a and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32997 - -34957. Calculate the highest common divisor of f and 3528.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, p: 2}. What is prob of sequence pq?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4569 - -0.0569. What is the closest to -0.3 in -1\/3, w, 13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99 - -36. Let t = 66 + a. Suppose 0 = i + t*h - 7, -i + 4*h - 12 = -3*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 t, and 2 a when four letters picked without replacement from bddaaladabbtallddi?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27940 = 14*v - 4*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - s)*(3 - 5 + 4) - 2*s + 2 - 2 + 10*s - s + 4*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -87679, -175355, -263027, -350689, -438335, -525959, -613555, -701117?\n\"Answer: a**3 - 4*a**2 - 87671*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 556 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6136\/3304*20\/65?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 10:19 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f + 11. Determine d(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9749 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 4 + 4 + 8. Let l be -1 + 13 + (10 - d). Suppose -19 = -5*x + c, -4*x - 4*c + 0*c + 20 = 0. Calculate the greatest common divisor of x and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1206, 1096, 986, 876, 766?\n\"Answer: -110*g + 1316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1189550, 1189480, 1189410, 1189340?\n\"Answer: -70*s + 1189620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5)**(-1)*(n*n**(2\/23)*n*n)**(-36))**(-1\/42) assuming n is positive.\nAnswer: n**(2671\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + 2*m**5 - m**4 + 2 + m**5 - 2 + (-2*m**4 - 3*m**4 + 3*m**4)*(2*m - 2 + 2) + 8*m**5 - 3*m**5 + 3*m**5)*(-2 + 3 + 0).\nAnswer: 7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*c + 2, -3 = -2*q - 2*c + 3. Let x(s) be the third derivative of -s**5\/60 + 7*s**4\/24 + 2*s**3\/3 + 434*s**2. Calculate x(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95256700 rounded to the nearest 100000?\nAnswer: 95300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4745 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 9, 3*m + 3*p = 4*m - 113. Is 26 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29 + cd?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*u = -40, 4*h - 100 = -h - u. Let w = -13 - -31. Suppose 5*y = 2*f - w, 5*f + 2*y - 8 = 8. What is the remainder when h is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -32*w**2. Let q(g) = 5*g + 13*g + 3*g + 7*g. Calculate q(l(n)).\nAnswer: -896*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -11*m**2 - 4*m + 7. Let x(i) = -10449*i + 8 + 0 + 5223*i - 12*i**2 + 5221*i. Calculate -6*v(t) + 5*x(t).\nAnswer: 6*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17\/(612\/(-84))*6\/2. Let v(b) = 22*b - 7. Let r(x) = 11*x - 3. Determine m*r(i) + 3*v(i).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g - 10. Give j(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + 3*f)*(-1 - 8 - 2).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 35*d**2 - 58*d + 439. List the prime factors of w(7).\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 2\/403, -1\/11, -0.5 in increasing order.\nAnswer: -0.5, -1\/11, 2\/403, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 6\/53, 3, 5 in decreasing order.\nAnswer: 5, 3, 2, 6\/53, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 409\/2 - 204. What is the nearest to k in 1\/3, 2\/11, -2\/5, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 14*q + 40. What is s(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 33*b**2 + 903*b + 3675.\nAnswer: -3*(b - 25)*(b + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.188 + -22.56035038?\nAnswer: -2.37235038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g - 19*g + 204 = -6*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00492602516 to six decimal places.\nAnswer: 0.004926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 344165?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 10*i**2 - i - 6. Let c be p(5). Let w(x) = x**3 + 10*x**2 - 12*x + 11. What are the prime factors of w(c)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34406, -68814, -103222, -137630?\n\"Answer: -34408*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1099 - 1093 + 8*x**3 + 81*x**3.\nAnswer: 89*x**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1567 >= -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 18*g**2 + 9*g + 41. Give t(-9).\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626943.\nAnswer: 3, 17, 19, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31462 - -31462.14993. Let z = s - -4.84647. Let f = -5 + z. What is f rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 11, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -353840 by -44230.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1121 (base 3) to base 16\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -328296 (base 11) to base 16.\nAnswer: -7fca6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (28\/49)\/((-105)\/147)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1 - -2) + -7. Let i = 5 + s. Let t = 10 + i. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 11:02 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from bcbkttkkbtk?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2093 - 0.0093. What is the third biggest value in h, 5, 2, -5\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/8 - (-2)\/(-8). Suppose -r*z + 105 + 131 = 0. What is the remainder when z is divided by (-190)\/(-16) + 7\/56?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144513788449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -340*l**2 + 3554*l**2 - 853*l**2 + 123*l**2 + 3686*l**2 to the form t*l + w + y*l**2 and give y.\nAnswer: 6170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1)*(-40)\/180. Which is the fourth smallest value? (a) -5 (b) 12 (c) 4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*l + 116*l**2 + 59*l**3 - 118*l**2 - 6*l wrt l?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74379343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -407*m - 143. Let k(s) = 17*s - 18. Let f(y) = 12. Let v(r) = -2*f(r) - k(r). Determine -6*j(u) + 143*v(u).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -8. Suppose 16*f + 1296 = 7*f. Let m be f\/54*(-6)\/4. Sort c, m, 8 in decreasing order.\nAnswer: 8, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1756306081 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -15 + 6 + 7 - (6 + -12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from {k: 1, d: 1, a: 3, v: 2, o: 2, b: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1780678 is divided by 2698?\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6700 is divided by 6270?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -10*f**3\/3 + 198. Let b(p) = -3*p + 4. Let v(y) = 2*y - 3. Let k(z) = -3*b(z) - 4*v(z). Determine k(s(j)).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 35 = -3*z - 3*a, -5*z = -5*a - 5. Suppose -g = -c - 3, 5*g = g + z*c + 15. Put 2\/25, g, -4 in increasing order.\nAnswer: -4, g, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 376 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 5\/54*b**4 - 2\/9*b**3 + 5*b + 0 - 1\/135*b**5 - 1\/270*b**6 + 7*b**2. Determine h, given that s(h) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/5))**(-2\/17) assuming k is positive.\nAnswer: k**(8\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*n**4 - 5*n**3 - 21*n**4 + 5*n**2 + 3*n**3 - 3*n**2 to s*n**2 + g*n + r + x*n**4 + a*n**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 - 4*x**2 + x. Let q(r) = -5*r - 8*r - 2*r - 7*r**2 - 5*r**3 + 16*r. Give -7*g(b) + 4*q(b).\nAnswer: b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*b + 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 726 = -3*c + 747, -2*c - 3 = 3*r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -46 + (39 + -55 + 36 - (-2 - -16))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 205568 or 205569?\nAnswer: 205569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) -0.2 (c) -15.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -33*q - 3. Let n(w) = -3*w - 2. Calculate -l(p) + 5*n(p).\nAnswer: 18*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -27*t + 111. Determine f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(7) + 1)*2 + 3 - ((3*sqrt(70))\/sqrt(10) + 0))*-5)**2.\nAnswer: -4000*sqrt(7) + 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 4:30 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 10308.24 to the nearest 10.\nAnswer: 10310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**6\/120 + l**5\/30 + l**4\/24 + 7*l**3\/6 - 4*l**2. Calculate i(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60)\/(-72) + (-311170)\/(-60) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -667*a**2. Let w(i) be the first derivative of -i**2 + 329. Give w(h(f)).\nAnswer: 1334*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 1650.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237787 is divided by 236799.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 1612 + 1148. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and -1749475.\nAnswer: -1749474.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17602903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*g + 4 - 4 + 378*g - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(65) - sqrt(65)) + sqrt(65))\/sqrt(5))**2*-4.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*u + 3*u + u)*(-3*u - 2*u + 3*u) - 2*u + 4*u - 6*u**2 + 5*u**2 - 4*u**2 - 2*u**2 + 2*u**2 to the form w*u**2 + h + l*u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 275647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -401.33373 - 3964.79607. Let h = -4312.129798 - w. Let m = -54 + h. Round m to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 225 in -0.2, 4, -1878, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 74.715 and 23?\nAnswer: 51.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 607 divided by 607.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 7:25 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 24 - (-1 + 3 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 593, 782, 1097, 1526, 2057, 2678, 3377, 4142?\n\"Answer: -2*i**3 + 75*i**2 - 22*i + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.9, -996, 0.4?\nAnswer: -996","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15774)\/(-38) + (-32)\/304. Calculate the highest common divisor of 581 and g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 29*f - 192. What is v(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -41*y + 25. Let d(f) be the second derivative of y*f**3 + 1\/15*f**6 - 1\/3*f**4 + 4*f + 0*f**5 + f**2 + 0. Determine s, given that d(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 34*v + 21. Let z be w(17). Let x = z - 28. Let a = -2 - x. Solve 0 = a*c + 5 - 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, p: 4, m: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001829577 rounded to 7 decimal places?\nAnswer: 0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from cqzqenet?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a0 (base 15) to base 11.\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 317482 times -6?\nAnswer: -1904892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**2 + 7*o + 31. Is v(-5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0 - 3) + (2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 3:08 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2. Let v(g) = -545*g**2 + 4. Give u(v(i)).\nAnswer: 297025*i**4 - 4360*i**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191 - -190.98862. Round n to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/9 (b) 17\/3 (c) 4 (d) 7 (e) -2\/3 (f) -0.136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11871)\/(-6595))\/((-11)\/5)?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 5\/24*i**4 + 0*i + i**3 + 1\/120*i**6 + 0 + i**2 - 1\/10*i**5. Suppose 0 = -3*m + 4*m - 5. What is t(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 13 = 0. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02+9151654194.7691\nAnswer: 9151654194.7491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2938978 is divided by 803.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -1.3. Let v = -0.6 + j. Which is the closest to v? (a) 1 (b) -5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -175.1519 + -4.\nAnswer: -179.1519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3432402 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3 = 55. Let d = t - -105. Suppose -95*q + 18 = -d*q. Solve 3*h + 3 = n + q, h - 6 = 2*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56b + 0?\nAnswer: -56b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49950 is divided by 16640.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 2*q - 16 + 2*q.\nAnswer: 4*q - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 16 = -f. Suppose 0 = 5*m - f. Let y(u) = u - 1. Let l be y(2). Which is the nearest to l? (a) 1\/6 (b) m (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from aoahaayhtcaohhh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/435*(-477)\/6 and 28\/23.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y**2 + 1. Let x be h(-1). Let f(q) = -3*q**2 + 50*q. Let t(g) = g**2 - 17*g. Let l(r) = 6*f(r) + 17*t(r). What are the prime factors of l(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222210 - -100?\nAnswer: 1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**2 + x - 13. Let n(s) = -s**2 + 1. Let y(c) = -g(c) - 6*n(c). Is y(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1 - j**3 - j**2 + 0*j**3 + (0*j**2 - 8*j**2 - 15*j**2)*(1 - 1 - 2*j) - 5*j**2 + 5*j**2 + 2*j**3 to t*j**3 + m*j + y + d*j**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-224))\/(940\/(-6580))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + 1a?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14022.22 decades to centuries.\nAnswer: 1402.222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -4) + 6 + -4. Solve -a = -3*a + v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2607 + 6969 = -798*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x + 4. Factor -8*w**x + 3 + 10*w - 9*w**3 - 5 - 2*w**5 + w**3 + 4*w**2 + 6.\nAnswer: -2*(w - 1)*(w + 1)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3\/4 - 85173*k**2\/2 - 851667*k\/4 - 170331 = 0.\nAnswer: -56777, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 7 - (21 + (-25 - 10)) - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -814 divided by 814.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16480590332 + 50.\nAnswer: -16480590282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 + 2*i**2 + 0*i**2)*(-2 - 4*i + 2) + 0*i**3 - 3*i**3 - 5*i**3 to w*i**3 + m*i + t*i**2 + p and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*d + 24, -4*d = -8*p + 11*p - 28. Solve -4*x = 12 - d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 46*d**2 - 52*d - 11. Let r be j(-24). Calculate the highest common divisor of 1360 and r.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -8 - (2 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.01 (c) -5 (d) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 7*o + 2. Suppose 0 = -g + 5. Suppose g*k - 7 - 11 = -3*n, -5*n - 26 = -k. What is t(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2742, 1, 5, 0 in decreasing order.\nAnswer: 2742, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*c + 222 = -96, -4*o - 5*c = -431. Suppose 3*b - o = -68. Sort -2\/5, b, 0.3.\nAnswer: -2\/5, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/13 - 372*u\/13 + 736\/13.\nAnswer: 2*(u - 184)*(u - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, h: 4}. What is prob of sequence hs?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 380209783 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*u - 2 + 77 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + -12 - (717 + -714)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 43*d + 591. Calculate the remainder when t(-12) is divided by 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17135 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-1 - -2)*-1. Let p(f) = 27*f - 2. What are the prime factors of p(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2929225 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/4 (b) 51 (c) 0.04 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 492\/41*(-3)\/(-54)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = u - 4*s, u + 0*s + 2*s = -17. Let a = 9 + u. Let z be a + 11008 - (0 - -2). What is z rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21458 at most 21459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326 = -q - 0*q. Suppose -5*x + q + 249 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*j = 101*j - 16, -2*h + 3*j - 3 + 1 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i - 5*d = -21, 3*i + d = -11. Let t = 0.024 - 0.024. Let m(p) = -p**3 - p. Let k be m(0). Which is the closest to k? (a) 0.5 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*y = -21, -8*p - 3*y = -5*p + 12. Solve -q - p = 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1 (c) -81 (d) -7 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 39*c**2. Let k(p) be the second derivative of -p**5\/30 + 101*p**2\/2 - 3*p + 4. Let q(x) be the first derivative of k(x). Give q(n(r)).\nAnswer: -3042*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 13 = 3*k - 5*d, -k - 8 = -4*d. Solve -9*y - 53 + 62 = k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 24. Let d(n) = -8*n**2 + 31*n + 257. Let b be d(8). Give v(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -23*r + 68. Suppose -x - 2*f = -1460, -r*f - 25 = f. What is the remainder when x is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 93\/310 + (-244)\/280. Sort -352, 0.5, m in ascending order.\nAnswer: -352, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -2 in descending order.\nAnswer: 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 420\/(-40)*(5 + (-207)\/42)*60\/(-55)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3834 in -0.3, 0.4, 1.236, -2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 12*p**2 + 7*p - 5. List the prime factors of r(11).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*(-14)\/(-56)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*g**2 + 17*g - 7 wrt g.\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o**5 + 82*o**4 + 126*o**3 - 176*o**2 - 232*o + 192 = 0. What is o?\nAnswer: -8, -2, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*g**3 - 2*g**2 + 239*g**3 + 2*g**2 as i*g + z + h*g**2 + m*g**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 18*t - 12. What is z(19)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/5867850 and -73\/100?\nAnswer: 11735700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 2.31\nAnswer: 13.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 28 = -1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-380112)\/(-64) + -2*1\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -111*d**3 + 2*d + 1. Let r be g(-1). Suppose 3*k - 83 = c, -14 = -4*k + 4*c + r. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -10*w - 5. Let t be c(-4). Suppose -g - 2*i = -3*i - t, -3*g - 4*i = -70. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.781807932 * -0.2.\nAnswer: -0.1563615864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0 (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -522*d - 533*d + 147*d + 12*d to the form s*d + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 4*w**2 - 3. Let y be (2 - 8)*1 + 2. Let h be c(y). Let g be h\/6*6 - -4. Put -2\/9, 0, g in descending order.\nAnswer: g, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + m = 9 - 22, -2*m + 10 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aay when three letters picked without replacement from iysasyihhhyahahah.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(-39) - (-4)\/6. Suppose 0*v - 21 = 4*v - d, x = d - 5. Which is the second smallest value? (a) v (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202111 + 10?\nAnswer: -2202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*3\/3)\/(((-16)\/30)\/(-2)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) -2 (b) -0.7 (c) -4 (d) -10 (e) 103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (64973\/5)\/(378\/(-35) - -11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -10 - 18*f**2 + 7*f**2 + 20*f + f**3 + 3 - 4*f**2 - 5*f**2. Let g be k(19). Let s = -6 + 10. Solve -2*j - 5*l + s*l = -7, 2*l - g = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**6\/120 - w**4\/6 - 4*w. Let g(u) be the third derivative of m(u). Let j(r) = 2*r - 3*r + r + 2*r. Calculate j(g(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 677*u**5 - 962*u**3 - 202476001*u.\nAnswer: 13540*u**3 - 5772*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22171.056 rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207947.\nAnswer: 207947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 153, 115, 55, -33, -155, -317, -525?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1514843 plus 1283750?\nAnswer: -231093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12008 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38736 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 590.19 - 588. Let x = 2.190000043 - o. Round x to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + sqrt(45) - sqrt(45))*-2 - -2*sqrt(1125).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/9? (a) 0.14 (b) 11 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070 divided by -6?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-174)\/(-18) - 0).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36, 39, 30, 3, -48, -129, -246?\n\"Answer: -n**3 + 10*n + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.11774 + 11.88226. What is the fifth biggest value in 5, 0.3, -2\/5, a, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/28*14\/(-21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2977.102mg?\nAnswer: 2977102000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -54, -4, 4, -3185 in decreasing order.\nAnswer: 6, 4, -2, -4, -54, -3185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f - 4. Suppose -14 = 3*h + s, h + 23 = -s - 3*s. Let w be m(h). Let r = w + 46. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/2520 and -1\/1575.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 181.4 * 456.38\nAnswer: 82787.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*d = -0*d - 40, -2705*f + 2708*f + 4*d = 24 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 9719 + 6439 - 22618 + 6460.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2883c (base 14) to base 4\nAnswer: 120200312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 4*s = -12, 5*s + 8 = 23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = 15. Let o = -8 - z. What is the units digit of (-3)\/o - (-19)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l = -33*l - 24. What is the derivative of 36 + 49*z - 10 + l wrt z?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -1\/2, 1, -1\/16, 0.5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 184509 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4076*l**2 + 2892*l + 21 + 4077*l**2.\nAnswer: l**2 + 2892*l + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -165*x**5\/2 - 202198*x**4 + 172329803*x**3\/2 + 76386447*x**2 + 6289346*x - 4186364 = 0?\nAnswer: -2821, -2\/3, -2\/5, 2\/11, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0.9823.\nAnswer: -1.0177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23354258 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 47, 34, 17, -4?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -1\/8*r**4 + 0*r - 5*r**2 + 0*r**3 + 0. Let z(l) = -2*l - 32 + 32. Calculate h(z(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1990 and 284968.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 2, 10, -2177.\nAnswer: -2177, 2, 10, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-4 - -3)*1. Suppose a + 4 + v = 0. Let g be 1 + (-6 - -4) - a. Solve 0 = 3*x - 3*o - 9, x - 1 = -4*o - g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciiiicicicciccciici. What is prob of sequence iii?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, k: 2}. What is prob of picking 1 w and 2 k?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1)*y)**(23\/4)\/(y\/y**1)**(-9))**(-2\/135))**(-43) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*k - 3 + 3)*(1 - 1 - 2) - 4*k + 4*k + k)*((0 - 3 + 4)*(-1 + 1 + 2) - 2 - 3 + 4 - 2 - 1 + 1) to the form n + j*k and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, w: 2, k: 13}. What is prob of sequence wd?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2025003*q**2 - 2*q - 7. Let v(g) = g**2 - 1. Let j(u) = -p(u) + 3*v(u). Let w = 287 - 289. Let o be j(w). Round o to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 24710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/694899 and -5\/24.\nAnswer: 5559192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005043 rounded to 6 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.5 - 2. Let x = -5.0698 + 0.0698. What is the nearest to -5 in d, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-2)\/(4\/(-6)). Let b(m) = -m**2 + 1. Let l be b(p). Let v be 3 + (-7 - -7) + (-1 - l). Solve v*y + 3*h - 1 = 0, -4*h - 17 = -4*y + 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (221 + -65 + -174)*(10\/6 + 1)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70924 and 35496.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/193 (b) 0.5 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 2. Suppose 4 = 2*r + 18. Let a be c(r). Is a at most -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*d = 267*d. Let o be (-6 - d) + (-4 - (-972)\/96). What is the closest to -1\/4 in -3, -0.1, -1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from ltmtcclccllrccrmt.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(6)\/sqrt(2) + -5 - (sqrt(27)\/(2*sqrt(576) + sqrt(9)))**2 - (sqrt(216)*2)\/(sqrt(2) + sqrt(100)\/sqrt(2)).\nAnswer: -1159\/289 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.6 + 5.7. Suppose -9*u + 18 = -15*u. What is the smallest value in v, -14, u?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 f, and 1 q when three letters picked without replacement from wqqfqfqqqqqqffffffqq?\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 8:08 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -19. Let y be v\/(-20) + 54\/15. Suppose -4*l**2 - 2*l**5 + 4*l**5 + 19*l + 4*l**y - 21*l = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b**2 - 7*b**2 - 5*b**2 - 23*b**2 + 16*b + 5 - 14*b to f*b + g + i*b**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 61864*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -117*u**2 - 203*u - 83. Let o(b) = -29*b**2 - 51*b - 21. Let a = 27 + -5. Let h(m) = a*o(m) - 6*w(m). Factor h(v).\nAnswer: 4*(4*v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67096 is divided by 4720?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (7 - (-1 - -15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t - 7. Let c be u(-5). Let j = 130 - 108. Suppose -18 = j*h - c*h. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29111*c = -28994*c + 1755 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 64.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d - -14?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-24) + ((-3)\/(-4))\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(209)*-1 - sqrt(209))*1)\/(-2*sqrt(539)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((270 - 270 + 27*v)*(-3*v - v + 2*v) + v**2 + 1 - 1)*(-342 + 342 - 100*v**2) to the form q*v**3 + p*v**4 + m + o*v**2 + z*v and give p.\nAnswer: 5300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 - 5. Let o = -49 + z. Calculate the highest common factor of 16 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 14. Let i be s(0). Let l = i + 28. Let k(x) = -x + 0*x + 9 + 3*x. Let w(q) = -q - 4. Give l*w(r) + 6*k(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/13, 2\/7, 1.228, 0.2, -0.01?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4 = h - 8, 2*h = 3*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4 - 6*i**2 + 1 + i**3 + 0*i**3 + i. Let s = -9958 - -9964. What is d(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92\/1035*(-2124)\/(-118)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1004\/7, -3897, -0.5 in ascending order.\nAnswer: -3897, -0.5, 1004\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -15. Let x = 383\/2396 + 54\/599. Which is the closest to 1\/5? (a) -0.1 (b) f (c) 0.08 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, l: 4, s: 3, t: 1, g: 3, r: 2}. What is prob of picking 2 g and 1 r?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0 = -2*q - 6, -12 = 5*q - 4*y. Solve 7*g + 4 + 10 = q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -198 + 198. Suppose h = -3*d - 0*d + 3. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 55 (b) 1 (c) -2.627\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -20*p**3 + 6*p**2 - 5*p + 23. Let v(r) = r**3 + r**2 - r - 1. Let g(k) = -b(k) + 6*v(k). Differentiate g(h) with respect to h.\nAnswer: 78*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 81.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = 24754*n - 24759*n + 32*g, 4*g + 28 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2492528 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Let y be ((-2)\/(-8))\/(k\/32). Suppose 4*w - 5*g = 37, -y*g - 2*g - 20 = 0. Let v(x) = x**2 - 4*x + 4. Determine v(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/80*(-4212)\/(-243).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 113*x**2 - 181*x - 48. What is the tens digit of t(-115)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048634 to the power of 1\/2, to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 550 = 770 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 6*c - 7. Let g be z(-2). Let q(j) = 16*j**2 - 12*j + 7. Is q(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, j: 1, t: 5, w: 3, f: 2}. Give prob of sequence wtf.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsdd when four letters picked without replacement from sscddpd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68263\/5 + 13653. What is the nearest to -277 in 1, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*q + 8396 - 25199 + 8404 + 8399.\nAnswer: 196*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**5\/70 - 2*x**4\/7 - 13*x**3\/21 - 182*x - 2. Find i, given that w(i) = 0.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 330976*w + 280612.\nAnswer: 330976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/9)\/v)\/v*v)**(-1)*((v*v**(-1))\/v)**(-18) assuming v is positive.\nAnswer: v**(169\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/12 + 11*r**3\/6 + 5*r**2 + 248*r - 1. Calculate k(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174636 divided by 891?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 261*q = 262*q - 153822, d = -3*q + 38439. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-29040)*90)\/(6*(-2)\/(-16)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 2. Let h be g(-2). Suppose -2*v = -h*v - 552. Calculate the common denominator of (-2 - v\/(-135))*-10 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33472 (base 13) to base 3.\nAnswer: 11201122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -14 + 11 - 5*-1. Is -12 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.058 + 17.124. Round i to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*t**2 + 27*t**2 - 33*t**2)*(-150*t**3 - 162*t**3 + 269*t**3).\nAnswer: 2537*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 285*g**2*n*x**3 + g**2*n*x - 12*g**2*x**2 + 39*g**2*x - 8469*g*n*x**3 - g*n*x**2 - 88*n wrt x?\nAnswer: 1710*g**2*n - 50814*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71.7303898 + -2.3.\nAnswer: 69.4303898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 25 + 6 - 567678*t + 567698*t. Calculate v(-17).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxqqiycciccq. Give prob of sequence xqcq.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**3 + 33*m**2\/2 + 287*m + 195. What is the first derivative of o(c) wrt c?\nAnswer: 6*c + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/3 - 3)*-6. Solve -5*a - w - 17 = w, -2*w - 8 = b*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u - 175 = -93*u - 102 - 137 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(65)*-2 - sqrt(65))\/(-3*sqrt(45)).\nAnswer: 13*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((sqrt(11) + -1)*5 - sqrt(11)) + 4 - (-5 + (sqrt(11) + -1)*-1)))**2.\nAnswer: 40*sqrt(11) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 g, and 1 a when three letters picked without replacement from vxagaggggxggvggagggg?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + h)*(38248*h + 390*h**2 - 38248*h) + 3*h**3 - h**3 - 4*h**3.\nAnswer: -392*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17148 + 0.16\nAnswer: 17148.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 32 (b) -3\/5 (c) -4 (d) -139 (e) -2\/87\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -154 + 211?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nine fourteenths of a week?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 0.2, 0.1296, 4, 0, 2\/13, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, a: 1, w: 1, i: 1}. Give prob of sequence yr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/770 - (4\/((-84)\/57) - -3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j**2 + 7*j - 7*j)*(6 - 6 - 3*j) as v*j**2 + g*j**3 + x*j + o and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109443191?\nAnswer: 11, 13, 191, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*c = 117*c - 294 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1336 + 6318. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-765)\/34)\/(-45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**3\/3 + f**2\/2 - 1. Let h be (-4 - -3) + -1 - -4. What is the units digit of s(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121012 + -1102101?\nAnswer: -2000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015171628 rounded to 6 decimal places?\nAnswer: 0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (0 - -1)*-1. Let i be -2 + -1 + 204\/85. Let l = 0 + 0.2. Sort l, m, i in ascending order.\nAnswer: i, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4 = 105*y - 108*y, y + 2 = -3*l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/1 - (-131 - -118). Let a(d) be the second derivative of -d**4\/12 + 5*d**3\/6 + d**2 - 4*d. Give a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -2950991.6056.\nAnswer: 2950991.7056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -34, -30, -3, -7, -11, 2 in increasing order.\nAnswer: -34, -30, -11, -7, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111244102 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 + 0.06. Let t = 22 + -24.2. Let z = t + -0.8. Which is the closest to z? (a) h (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 41445 = 2*s - 116577, -3*d - 37570 = -s. What are the prime factors of s?\nAnswer: 2, 18773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/4 + (-1)\/4. Let b(n) = n**3 + 9*n**2 - 19*n + 28. Calculate the remainder when b(-9) is divided by 1210\/18 - x\/18.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**3\/3 - 241544*g**2\/3 - 1217500032*g - 60673881600 = 0?\nAnswer: -30168, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1014)\/169*1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 10 = -5*n. Let r be n\/(-4)*(6 + -5). Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 * 72.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 644*l - 3*l**2 + 644*l.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 12571\nAnswer: -3771.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k**2. Let t(b) = -8*b - 30*b - 11*b + 12*b - 8*b. Determine z(t(q)).\nAnswer: 16200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1616*n + 1619*n + 2*q - 20, 3*q = -2*n + 25. Let w be (4\/(-10))\/(2\/(-20)). Suppose 9*k = w*k. Solve 0 = 2*g - k + n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (1 - 2) - 1. Suppose -3*n - 3*s + 386 = -5*s, -m*n + 526 = 3*s. Calculate the remainder when n is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b = -62*b - 103*b + 3520 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s - 120. Let t be 18648\/315 - 6\/5. Let w = s + t. Calculate the remainder when w is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/25 in -951, 2\/25, 0.2, 2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-84)\/10)\/(((-27)\/480)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b + -66675?\nAnswer: -666a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - n**3 + n**3 - 56*n**2.\nAnswer: n**3 - 56*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28622?\nAnswer: 2, 11, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26019.01653 - 26006.72. Let v = -92.29743 + p. Let t = v + 80. Round t to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from kekzeekez.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 + 2 - 2*d**3 - 6 - 1190593*d**2 + 1190581*d**2 to w*d**3 + j*d**2 + x*d + g + r*d**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -166*u**2 - 6878*u + 30162. Determine z(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1056*u = 1038*u - 72 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c + 35*c + 10 = 0. What is the greatest common factor of c and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 3*u = -7*x, -4*x - 5*u = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76)\/sqrt(4))**2 - (1 + (sqrt(19) - sqrt(171)\/sqrt(9)))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3.1. Let k = -0.06 + 0.05. Let u = k - 3.99. Which is the nearest to u? (a) 3 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*g**2 - 4520860*g + 3767400.\nAnswer: -4*(g + 188370)*(6*g - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*p**5 - 1\/2*p**3 - 3\/4*p**4 + 0*p**2 + 0*p + 0.\nAnswer: -p**3*(p + 1)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132469743 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 13861380*n**2 - 138614100*n - 346535500.\nAnswer: 4*(n - 3465355)*(n + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + (186 - 211)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/7 - 15130152*h\/7 - 28615187442888\/7 = 0. What is h?\nAnswer: -3782538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 6:38 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28204545, 28204546, 28204547, 28204548, 28204549, 28204550?\nAnswer: 28204551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125\/3 - 42. Let o(t) = -4*t**2 + 707*t - 8359. Let r be o(164). Which is the fourth biggest value? (a) -0.04 (b) q (c) -0.08 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.049\nAnswer: 0.0245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 78*a + 2125. Let y be x(-27). Solve 0 = y*b - 28*b + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1453 + -0.1453. Let o = -42 - -63. Which is the second biggest value? (a) x (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 226*f + 444.\nAnswer: 2*(f - 111)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 13. Let u = -6 - -72. Calculate the greatest common factor of d and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*((6*(5 + 2 + sqrt(75)))**2 + ((sqrt(75) - (3 + (sqrt(75) - sqrt(75)*-2)))**2 - -2*sqrt(75)*-1)).\nAnswer: -28635 - 15420*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -17*w**5\/60 - 7*w**3\/6 + 13*w**2\/2 + 10*w. Let o(b) be the first derivative of r(b). Differentiate o(u) with respect to u.\nAnswer: -34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845428037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 2. Let w be d(3). Suppose -h + 6*h - 9 = -3*l, -w*h + 14 = -l. Suppose -14*n + 3*n = 5*n - 48. Solve -f = 4*q + h, -2*f + n + 0 = -q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*v**2 - 6*v**3 - 237*v**2 + 480*v**2 + 19*v**3.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 279 + -66. Calculate the remainder when x is divided by 102.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39840395 + -4646?\nAnswer: 39835749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2 + 11*y + 7. Let t be l(-3). Suppose -22 = -t*z + 6. Sort 229, -1, 3, z.\nAnswer: -1, z, 3, 229","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 8:53 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 4:23 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i. Let x be (4 - i)*1\/2. Find v such that -4 - v**x + 4*v + 6 + 3*v**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3861981 divided by -4\nAnswer: -3861981\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*m - 5 + 3, 0 = 5*m + 4*c + 9. What is the third smallest value in m, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3640 to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 337586231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 326*f - 5912. Give v(18).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*t - 5*y + 159, -3*t - 301 = 5*y. Let w = 97 + t. Solve 4*a = 5*f - 9, -5*f + 4*f = w*a + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbr when three letters picked without replacement from rrrrrrrbbr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193572254?\nAnswer: 2, 96786127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 85, 300, 729, 1444, 2517, 4020, 6025?\nAnswer: 8604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 967832 + 967832 - 49*a**3.\nAnswer: -49*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -4. Let p(z) = -41*z**3 + 30*z**2 - 9*z. Let m(s) = -20*s**3 + 15*s**2 - 4*s. Let w(r) = q*p(r) + 9*m(r). Find the third derivative of w(u) wrt u.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -710ab2 (base 12) in base 11?\nAnswer: -aa5469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1765 + 421832\/239. Is 0 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 10 + 89*z - 3*z**2 - 20.\nAnswer: -3*z**2 + 89*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 16 = 35*y - 30*y, y + 8 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) + 904\/(-6). Let p = c + 280. Suppose -p - 84 = -j - 4*u, u = -5*j + 1008. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8945 - -8986. Solve v*g + 122 = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u*u**(-2\/15)*u**15*u*u**(3\/4)*u**(2\/5)\/u assuming u is positive.\nAnswer: u**(1141\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8860347?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -26. Let b = -175 - -183. Solve -g*m + 3*m - b = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2. Let h(i) = -33500*i. Give t(h(j)).\nAnswer: -2244500000*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g - 14*g - 6116 = -6916 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010010101101 + 111?\nAnswer: -11010010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*b - 111, 24 + 13 = i - 4*b. Suppose 738 = 3*g + 5*h, -5*g - 5*h - i = -1277. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.49, -3, 3\/8?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**4 - 22*v**3 + 232*v**2 + 1152*v = 0.\nAnswer: -16, -4, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*s**2*u**2 - 1239*s**2 - s*u**2 + 2*s - 2*u**2 + 2*u - 5675 with respect to s.\nAnswer: 8*s*u**2 - 2478*s - u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6015, 6017, 6019, 6021?\n\"Answer: 2*p + 6013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*h - 345. Let i = 106 + h. Let w = 55 - i. Calculate the highest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + (sqrt(28) - sqrt(252)\/sqrt(441))\/sqrt(4).\nAnswer: -8 + 6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35820719, 35820717, 35820715, 35820713?\n\"Answer: -2*q + 35820721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 0*v**2 + 1\/10*v**5 + 0*v**3 + v - 1\/15*v**6 + 0 + 1\/6*v**4 - 1\/21*v**7. Solve d(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/((-220)\/175)*102\/85?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 v when three letters picked without replacement from iiqvyqs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixgx when four letters picked without replacement from {g: 3, x: 5, i: 8}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 161598801 and 0.5.\nAnswer: 161598801.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 3*v - 3, 1 = -0*q - 2*q - v. Find the common denominator of (26\/(-80))\/(q + (-2)\/(-28)) and -103\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(16\/(-4))*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 - 17249*v\/2 - 11897172.\nAnswer: -(v + 1512)*(v + 15737)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2*(-1)\/(-11))\/(-3))\/(1\/6).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 24*c - 5. Let y be l(4). Let d = y + 37. Let s be (-2)\/5 - (-54)\/10. Solve -3*o + 4*p = -d*o + 7, -10 = s*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = 17*d - 2*d. What is the closest to -2\/7 in 2, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 23363?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 2*w - 23. Let i be h(6). Which is smaller: i or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/24649 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2729*t**3 + 2*t - 1 + 296*t**2 - 342*t**2 + 3 + 2733*t**3 to r*t**3 + s + n*t**2 + j*t and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-6)\/t*t)**(-1\/61))**(-3\/20) assuming t is positive.\nAnswer: t**(-3\/244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 4*c + 26, -5*c + 15 = 4*n + 28 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9527 is divided by 58?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(2*(0 + -8)*14\/(-112)). Sort -35, 5, g, 3, 0 in descending order.\nAnswer: 5, 3, g, 0, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2090 - 705. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -209912, -420006, -630104, -840206, -1050312, -1260422?\n\"Answer: -2*w**2 - 210088*w + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3, -2\/159, -5?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187600 and 149772336?\nAnswer: 7504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*j = -140*j - 6 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 100 + 16*l**3 - 35*l**3 + 17*l**3 - 2*l**2 + 35*l - 102 in the form b*l**2 + m + p*l**3 + y*l and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*3\/((-12)\/10). Let j(u) = 2*u**2 - 6*u - 1. Is j(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - 39. Let a = -3150 + 3140. Determine x(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5054 - -5054. Let u(s) be the third derivative of 0 - 1\/6*s**4 - 1\/30*s**5 + g*s + s**3 + 17*s**2. Solve u(j) = 0 for j.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, q: 4}. Give prob of sequence qqqq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 3 (c) 4 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 208528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 3*c**2 - c - 2. Suppose 0*a = -3*a + 9. Let t be z(a). Let s(x) = x**3 + 4*x**2 - 8*x - 6. Give s(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/11 - (2 + -1) and -87\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from {r: 2, v: 1, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*s - 350, 2 + 3 = g. Let x be (-4)\/(-18) + s\/18. Find the second derivative of -x*n**3 - 2*n + n**3 + n**3 wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let s(l) = -30*l - 46. Let h(p) = s(p) - 5*v(p). What is the units digit of h(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from empebp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -120921, -241822, -362721, -483618, -604513, -725406, -846297?\n\"Answer: d**2 - 120904*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24408.1 millilitres?\nAnswer: 24.4081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n + 1. Let i be q(-2). Suppose -4*f - i = -5. Suppose -4*u = 5*t + 2 - 32, 3*t - 16 = -2*u. Put 1, f, u in increasing order.\nAnswer: f, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2750353*g**4 - 5422599*g**2 - g - 2 wrt g?\nAnswer: -66008472*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5*u - 2 = 2*f, 3*f - 13 = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*h - 72*h - 144*h - 2297 + 117*h wrt h?\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 440, 439, 438, 437, 436?\n\"Answer: -f + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31042841 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 48 = 53 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/2762 + 1604717\/13810. Let t = y - 116. Sort -0.02, -1\/3, t, 5 in descending order.\nAnswer: 5, t, -0.02, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22822\/5 + -4548. Which is bigger: -4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7621 to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -104.1 times -4\nAnswer: 416.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -13320535 at least -13320543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837924681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161418.\nAnswer: 2, 3, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*c + 49*c - 28*c)*(16*c**2 - 2 - 3 + 4) to the form d*c**3 + q*c**2 + a + u*c and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-4)\/(-6)*36\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 37 = 5*w - 0*z, z = 4*w + 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*b - 108600018 = -10*s, 2*s + 4*b = 43439976. Round s to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a**3 - a**4 + 3*a**4 - 18*a**3)*(-3 + 0*a - 3*a + a).\nAnswer: -4*a**5 + 10*a**4 + 24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 q when three letters picked without replacement from {y: 16, q: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 take away 3342.6?\nAnswer: -3406.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4292747 by 4292747.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (780\/(-18))\/10 + (-2 - -7). Solve -8\/3*p + u*p**3 + 8\/3*p**2 + 0 - 2\/3*p**4 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**2\/3 + 89528*g\/3 + 89524\/3 = 0.\nAnswer: -22381, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than -21360\/142051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9823 is divided by 1501.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302844 is divided by 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 + -5 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - -4a5277?\nAnswer: 4a5268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 1419301533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(2448) + 4)**2 - ((((-2*sqrt(85) + sqrt(85))*1 - sqrt(85)) + sqrt(85))\/(sqrt(5)*1*-5))**2.\nAnswer: 96*sqrt(17) + 61583\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*d + 25 - 7, -3*l = 2*d + 20. Let u = -6 - l. Let k be 22\/(-16) - 2\/(-2). What is the closest to -0.1 in -0.2, u, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 32*o. Let h be k(3). Suppose -4*b + b + h = 0. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 - -132?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -11. Suppose -3*j + f - 7 = d*f, -j - 7 = 4*f. Suppose -3*y = 3*c + 2 + 19, -y = j. Which is smaller: c or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006065627 to six decimal places.\nAnswer: -0.000607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**5\/180 + 17*q**4\/108 + 25*q**3\/18 + 11*q**2\/2 - 762*q. Solve p(s) = 0 for s.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -11 + -71 + -4 + 5 + 26 + -40.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10283.7 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 4*n + 5. Let p be h(4). Sort 13, 1, p in increasing order.\nAnswer: 1, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2105 - 2104.7. Let i be ((-5)\/(-3))\/((-2)\/6). Let q(s) = s**2 + 5*s - 1. Let n be q(i). Which is the closest to 2\/5? (a) m (b) 2\/13 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47058 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(1\/6)*d*d*d*d\/(d\/(d**(-7\/5)*d)))\/(d**(-4\/9)\/(d**(3\/7)\/d)) assuming d is positive.\nAnswer: d**(2713\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 + (0 - -218) + (1 - -3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 59*m**2 + 56*m**2 + 7*m + 19 + (-2*m - 3*m + 7*m)*(-m - m - m) to l*m + r*m**2 + c and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 16*z**2 + 17*z + 5. Let r be f(17). Put 0, r, -7 in ascending order.\nAnswer: -7, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Let w be (2\/4)\/(g\/(-8)). Let l = 2 - w. Is l less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.122 + -1.775. Which is the third biggest value? (a) j (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -118\/9*h**2 - 1\/9*h**4 - 23\/9*h**3 + 32 + 64\/3*h.\nAnswer: -(h - 2)*(h + 1)*(h + 12)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 317984099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-281)\/(-2) - 1\/2. Let s = 2665 + -2645. What is the highest common divisor of s and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/7225 + 63578\/7225. Let q = -596098\/45 + 79267\/6. Let x = 374\/9 + q. Find the common denominator of x and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77539 and 1879062?\nAnswer: 144687774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from tinvfne?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 14*o**2 + 43*o + 2. Calculate b(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 3*h = 56. Let c = h - 17. Let i = -1 - c. Solve -i*w + 4*y + 8 = 0, -w - 2 = -4*y - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28249.498 + -0.456\nAnswer: -28249.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 611*q - 15763. What is p(27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-310)\/(-6) + 0 + (-1)\/(-3). Suppose -7*y + 46 + z = 0. Suppose 190 = -12*n + y*n. Calculate the remainder when n is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 12 = 8*s. Let t be ((-70)\/(-25))\/(s\/(-330)). Which is bigger: -155 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29060959 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 996.3688l to millilitres.\nAnswer: 996368.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**4*b)\/b)\/(b**(-2\/7)\/b))\/(b**(-6)*b*b**(-1)) assuming b is positive.\nAnswer: b**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -12 + (0 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*z + 0 = -4, -2*z = 3*u + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 792.5973nm in millimeters?\nAnswer: 0.0007925973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 39*m**3 + m**2 + 3016*m + 3014. Give x(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4955.6ns in milliseconds?\nAnswer: 0.0049556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-9)*((-486)\/891)\/(135\/66)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - r + 3 + (-2 + 0 + 0)*(-r + 3*r - r) - 5*r + r + 2*r - 2*r + 0*r + r + (4*r - 4*r + r)*(4 - 1 + 2).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 8*z - 11. Let c(o) = -o**3 - o**2 + o + 6. Let q be c(0). Let v be t(q). Is 3\/2 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*a - 53*a = -10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 156*h**2 + 904*h - 708. What is q(150)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 18 = 4*b, -2*m + 100 = 3*b + 156. Let n(j) = -13*j - 425. Let r be n(m). Solve -3*a - 5*i - r = 0, -21 = 3*a - 4*a + 5*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j - 8. Calculate z(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -10 (b) -0.4 (c) -2\/3 (d) -2\/271 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2*a + 2*a = -2, -5*a = -10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25259, -25036, -24813, -24590, -24367?\nAnswer: -24144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272, 338, 402, 464, 524?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10248857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 14 - 7 = 0. Suppose 0 = 5*w, 4*d + 19840000 = w - x*w. What is d rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2339, 2755, 3447, 4415?\nAnswer: 5659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 12*d + 6)*(0*d + 1 + 2 - d) in the form f*d**2 + r*d + y and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnn when three letters picked without replacement from {h: 4, g: 5, n: 2}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48 minus -92.3827?\nAnswer: 92.8627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**4 + 4*o**3 + 34*o**2 + 36*o + 19. Let z(p) = p**4 + p**3 + p**2 - p + 1. Let f(n) = l(n) - 4*z(n). Find s, given that f(s) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 1\/12*a**4 + 0 + 1\/20*a**5 + 1\/60*a**6 + 3*a**2 + 0*a + 1\/420*a**7 + 1\/12*a**3. Factor z(o).\nAnswer: (o + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -461*h**3 - 458*h**3 - 2*h**2 - 40 + 42 + 3*h + 906*h**3. Let m(f) = -39*f**3 - 7*f**2 + 10*f + 7. Determine 2*m(p) - 7*t(p).\nAnswer: 13*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j**3 + 5*j**3 - 1690 - 2310 - 720*j**2 - 2*j**4 - 3200*j - 41*j**3 = 0 for j.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 361*d - 31. Let w be a(1). Find the common denominator of ((-3357)\/w - -8) + 3 and 29\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -10*o + 40953. List the prime factors of o.\nAnswer: 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21122 (base 3) in base 10?\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**3\/6 - 4*u**2 + 7*u. Suppose -3*y = -8*y + 40. Let q be j(y). Solve q = -0*s + 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11017, -22034, -33049, -44062?\nAnswer: -55073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -261 times 0.03\nAnswer: -7.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63706113 and 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = 228 - 282. What is the greatest common divisor of 366 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 334*j + 61606. What is d(-185)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((33 - (-25 + 20)) + (-5 - 3))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + 4*w + 4.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + (-28)\/12)\/((-2)\/(-18)). Let j be (10 - 10)*(-2)\/m. What is the closest to 0.2 in j, -2\/5, 3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {l: 1, d: 2, h: 4, y: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 q, and 1 a when four letters picked without replacement from emmmmmeosqeomoaseq.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 58 + 2 = 5*k, 2*w = 4*k - 42. Suppose 2*s = 6*s - r - 15, -3*s - r + 13 = 0. Find the first derivative of -16 + 4*v**4 + 24 + k*v**s - 14 wrt v.\nAnswer: 48*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1069, 2\/13, -50, -0.149?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 41 = 4*t, 21*t - 10 = 2*y + 16*t. Sort -11, y, 3, -1 in increasing order.\nAnswer: -11, -1, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4\/4 - 89*p**3\/2 - 19601*p**2\/4 - 133551*p\/2 - 61920 = 0?\nAnswer: -64, -15, -1, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15792429?\nAnswer: 3, 5264143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 1\/2*q + 3\/8*q**2 + 20 + 25\/16*q**4 - 9\/20*q**5 - 7\/4*q**3. Suppose y(d) = 0. What is d?\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t**2. Let c(x) be the third derivative of -x**4\/24 + 73*x**2 - 3. Calculate n(c(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6593827.2 to the nearest 100000.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (2 - -6 - 1) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*o - 46, -5*o - 871 = u - 925 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2667 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-4))\/(9\/(-12)). Let i(j) = -j + 6. Let z be i(3). Let x = -51 + 55. Sort x, q, z in decreasing order.\nAnswer: x, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/21 = 2.15449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 36. Let p(s) = -s**3 - 9*s**2 - 9*s - 13. Let o be p(t). What is the biggest value in -3\/4, 0.7, o?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4423 + 14.7074.\nAnswer: -4408.2926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269 - 275. Let m be ((-45)\/30)\/(y\/76). What is the greatest common divisor of 817 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -435*m + 18. Let j(g) = 222*g - 8. Determine 11*j(r) + 5*t(r).\nAnswer: 267*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - 3*y - 8*y + 5*y + 6*y. Let b(v) = -3*v**2 + 17*v. What is k(b(r))?\nAnswer: 27*r**4 - 306*r**3 + 867*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 6 = y. Let n = 7 - 5. Suppose d - 27 = -4*f, y*d + n = 3*f + 1. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 + 12*n - 38. What is the hundreds digit of t(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**3 + 3*a**2 + 2*a + 4. Let h(q) = -4*q**3 + 3*q**2 + 2*q + 4. Let d be (9\/15)\/((-5)\/(-25)). Let m(f) = d*u(f) - 2*h(f). Calculate m(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*g**3*k - 3*d*g*k + 9*g**3*s - g**3 + 3*g*k + 9*k*s wrt g?\nAnswer: -12*d*g*k + 54*g*s - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10610700 divided by -23475?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**2 - a - 1. Let s = -276 - -275. Calculate o(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19070 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 3 = -27. Which is the third smallest value? (a) 0 (b) -0.4 (c) v (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 0.374, 1.96, 2?\nAnswer: 1.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.008 - 0.07\nAnswer: -0.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w - 273 + 289 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 639841289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81.26 - 1.74. Let s = k + 83.6. Let i = s - 0.9. Is i less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12166 - -12163. Put -4, -0.7, 0.038, -1\/4, m in ascending order.\nAnswer: -4, m, -0.7, -1\/4, 0.038","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/13, -0.5, 0.1, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38.8 + -39. What is the closest to -1 in j, 0, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46433 and 72924.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(21\/(-2))*-3*(1863\/54)\/3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 7. Let m = 19 + -12. Suppose m*k - 90 = 4*k. Suppose 4*z = -z + k. Calculate n(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -60, -149, -274, -435, -632, -865?\nAnswer: -1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -2 + 7 + (34 - 104)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/(43\/((-4343)\/(-2020)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 2 + 0 + 3 + (5 - 3 - 4)*(4*k - 3*k - 2*k) - 2 + 2 - 3*k.\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Let z = 77433 + -77438. What is the nearest to 1 in i, 3, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 15 = 5*o + 2*n, 2*o + 5*n = -21. Suppose 0 = -o*v - 2, c = -2*v + 4 - 1. Let m(j) = 16*j + 19. What is the remainder when m(c) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31123 (base 7) in base 6?\nAnswer: -55124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1844723, -3689437, -5534151, -7378865, -9223579, -11068293?\n\"Answer: -1844714*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.446 and -0.4.\nAnswer: 0.1784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (87 - 0)*5*24\/90.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 164*a - 335*a - 600*a**2 + 171*a to q*a + g*a**2 + r and give g.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7)*m*m)**(17\/6)*m**(-1)\/(m**(-2)*m) assuming m is positive.\nAnswer: m**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14490845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -48, -165, -366, -657, -1044, -1533?\n\"Answer: -u**3 - 36*u**2 - 2*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, j: 5, u: 8}. Give prob of picking 1 w and 3 j.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-606934)\/(-2) + (-26)\/143*-11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 6*f + 1. Let p be 1 - -2*(1 - -1). Let c be h(p). Let q(a) = -1 + 7 - c + 10*a. Let x(k) = -k. Determine q(x(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 3618.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 7*l - 7. Let i be f(-5). Let x be 230\/(-1150) - 42\/(-10). Suppose 2*u + 152 = 4*q, 0*q + i*q = -x*u + 136. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882*b - 361*b - 452*b = 1516*b - 317889 for b.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 73657680 divided by 95\nAnswer: 775344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.9 - 2.7. Let f = 2.1999895 - a. What is f rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from njnjjnjjnjnjjjlnjj.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 4*a - 8. Let j be s(2). Suppose 42 = 5*l + j*m, -4*l - 6*m = -2*m - 36. Let g be 10 + l\/(2 + 1). Solve -4*y = -16, g = o - 0*o + 3*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 36*x + x**3 - 19*x - 13*x + 7 - 6*x**2. Give v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11254*q**6 - 3697*q**2 wrt q?\nAnswer: -1350480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/7492?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2558 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-306)\/(-10) + 9\/(-15). Suppose -4*d + x = 2*d. Suppose c - 3*h - 962 = -2*h, -d*c = -2*h - 4825. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 0*v + v)*(-3*v**2 - 3*v**2 + 4*v**2) + 2768*v**3 + 203 - 203 to k*v**3 + h + d*v**2 + c*v and give k.\nAnswer: 2770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 0, 238, 1, 11, -5 in increasing order.\nAnswer: -5, 0, 1, 2, 5, 11, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u + 1. Let z be c(-4). Round z to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-154)*(-42)\/18)\/(15\/3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -15*o**2 - 840*o - 4. Let l(j) = 8*j**2 + 419*j + 2. Calculate 6*k(p) + 11*l(p).\nAnswer: -2*p**2 - 431*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*o - 3, 4*q + 2*o = 20 - 2. Let r be (56 - 0 - -7)\/q. Calculate the greatest common factor of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**5\/60 + g**4\/12 - g**3\/6 + 12*g**2. Factor p(c).\nAnswer: -(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-50)\/4)\/((-45)\/360). Suppose 4*v - 5*v = -30. Calculate the highest common factor of t and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 4. Let q = h + 1. Solve 0*y - y - 7 = 4*f, q = -y + 4*f + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4 + 5. Let a(o) = 2*o**2 - 2*o - 1. Let u be a(m). Let y = 56 - 32. Solve -4*q - y = -u*w, -2*q - 6 = -0*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -10*(-13)\/(455\/(-14)). Solve -6 = -3*d - 5*h + z, -3*d - 9 = -3*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (112\/2)\/4. Suppose -h = -0*k - 4*k. Let c = -4 - -9. What is the smallest common multiple of c and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-14 - (9 + -14) - -8) - 4 - -79?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 53.79838 millennia?\nAnswer: 645580.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 2. Let y be q(-8). Suppose 0 = -y*j + 2*j + 28. Let i(k) = -21 + 36 - j*k**2 - k**3 - 8*k + 2*k - 16. Give i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2450 divided by -1173?\nAnswer: 2450\/1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 18 = 2*q. Suppose 11*z = 9*z + 4. Suppose -54 = -0*u - z*u. What is the remainder when u is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcs when three letters picked without replacement from cmsnsnnssscnstns.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4802, 10115, 15428, 20741, 26054?\nAnswer: 31367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156293?\nAnswer: 73, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 3 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 5, 1\/4 in ascending order.\nAnswer: 2\/11, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(1\/(-1)))\/1. Let y = -9 + 4. Put 4, y, k in ascending order.\nAnswer: y, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 40.3. Let f = u - -9.03. Is -1\/2 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -373471, -746961, -1120451, -1493941, -1867431, -2240921?\n\"Answer: -373490*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 4*b + 2*b)*(-6 + 3 + 4) + 7864 - 7867 + 2*b + 4*b.\nAnswer: 8*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12*(9\/(-6) - -2). What is the units digit of (2\/(-6))\/(c\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110180 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*x + 28 = 0. What is the remainder when 138 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p**3 + 41*p**3 + 6*p**3)*(4*p**2 + 38*p**2 + 9*p**2).\nAnswer: 1989*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 3. Let l(m) = m + 8. Let p be l(-4). Let h be ((-4)\/18)\/(p\/(-3)). Which is the closest to 2\/7? (a) -3 (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16108889 divided by 3?\nAnswer: -16108889\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41999*t**2*y + 48*t**2 - 2*t*y - 684596*t + 147*y wrt y.\nAnswer: -41999*t**2 - 2*t + 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9463377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 2 = 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20777\/5 + -4254. Let n = u - -98. Suppose 6*j = -j - 14. Which is bigger: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1294558, -1294578, -1294624, -1294708, -1294842, -1295038, -1295308, -1295664?\n\"Answer: -2*l**3 - l**2 - 3*l - 1294552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -58589 at least as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 30. Suppose c = o + 9, 11 = c + 2*o - 5*o. Suppose -c = -3*u - u. Solve -2 = k + d + u*d, 4*k = -2*d + p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 6. Let a(d) = -494*d**2. Give o(a(k)).\nAnswer: 244036*k**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2*(s*s**(-6)*s)\/s)**(7\/5) assuming s is positive.\nAnswer: s**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7*(1 + (16\/7 - 3)). Suppose 24 = -2*j - 4*f, -5*f + 16 = -3*j - 6*f. Sort -118, j, n in decreasing order.\nAnswer: n, j, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - 8. Differentiate 11 - 39*h**t + 8*h**2 + 17*h**2 with respect to h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (286 - 286 - 142*f)*(3 - 8 + 3)*(-4*f - f - 2*f) as u + y*f**2 + i*f and give y.\nAnswer: -1988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 2. Let o = 18 - 11. Let a be d(o). Suppose -4 + a = 2*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-6)\/n))\/((n**(12\/13)\/n)\/n))\/((n*n\/(n\/(n*n*n**4*n))*n)\/n**(-25)))**(-37) assuming n is positive.\nAnswer: n**(11988\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.845+3397\nAnswer: 3395.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.72 - 0.48. Let v = y + 1.7. What is the nearest to 2\/7 in v, -1\/7, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.769 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 4:56 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n - 12. Let r(l) = -1. Let p(y) = 4*r(y) - v(y). Let a be p(-6). Let x = a + 166. What is x rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-22)*(-57)\/(7068\/(-341))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12717175 to the nearest integer?\nAnswer: 3566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99059 is divided by 333.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 19. Sort -4, w, 5 in descending order.\nAnswer: w, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 444685\/67548 - -1\/11258. What is the common denominator of -19\/44 and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 8*o**2 - 12*o. Give g(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -718*v**3*z**2 - 6*v**3 - 143*v**2*z - v**2 - 18*v*z**2 - 2*z wrt v?\nAnswer: -4308*z**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 48*w = 46*w - 8449, 4*w - 42259 = -5*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l**2 - 49 + 18 + 21 - 12*l.\nAnswer: -17*l**2 - 12*l - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.539532l in millilitres?\nAnswer: 539.532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 299289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-443)\/(-19935)*1530 + (-128 - 1)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v = 4*v. Suppose -3*q - 4*q + q = v. Let l(i) = -i - 19. Give l(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*g - 61*g + 7*g - 1512 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -293630 + 100737020\nAnswer: 100443390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**3 + 125*u**2 + 1559*u - 63721. Determine q(42).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6244*i**2 + 6357*i**2 + 5*i - 5*i as a*i**2 + y*i + j and give a.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.29212 - 44.3. What is k rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*45*14\/280\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-2))\/((-505)\/(-1717))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -344 - -322. Let j be (-1464)\/168 - (2 - z\/(-14)). Is -8 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -x. Let f(g) = -5*g**2 - 8. Let d(u) = 4*u**2 + 1364 + 1365 + 7*u - 7*u - 2722. What is x*f(r) + 7*d(r)?\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -8. Let s(o) = -o**3 - 7*o**2 - 2*o + 1. Let v be s(b). Let y = -3 + v. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**4 - 555*y**3 - 561*y**2 + 555*y + 558 = 0?\nAnswer: -1, 1, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -119*y**3 + y + 1. Let l be f(-2). Let o be l\/27 - 12\/54. What is the remainder when 33 is divided by 5\/(-2)*(-168)\/o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 2:15 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**7\/140 - 33*t**6\/40 - 1153*t**5\/40 - 132*t**4 - 256*t**3 + 164*t**2 - 2*t. Find k, given that l(k) = 0.\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 - 10*h**2 + 152*h\/3 - 64.\nAnswer: (h - 24)*(h - 4)*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.058 + -1.942. Let q = -15.48 + 15. Let z = -0.08 - q. Put 8, z, 0, w in descending order.\nAnswer: 8, z, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 >= 2135\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 480197?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/9 - (-2 + -65)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1221330 and 499635?\nAnswer: 10991970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 9:20 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20570 (base 15) in base 9?\nAnswer: -165516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.0404 minutes in milliseconds?\nAnswer: 13142424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 1283?\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -196410 (base 14) in base 13?\nAnswer: -257048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and (-6 + 5)\/((-5)\/720)?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + 3. Suppose -20*d - 13 = -17*d - g, -5*g = -4*d - 21. Let n(s) be the first derivative of -8*s**2 - 16*s - 1. What is d*n(w) - 22*b(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -27, 2, -5, 6 in descending order.\nAnswer: 6, 2, 0, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -613652 plus 188754?\nAnswer: -424898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:45 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 + 3*g - 3. Let n = -33994 - -33997. Suppose 3 + 1 = 2*j. Let v(i) = -3*i**2 + 4 - 2*i - 5*i**2 + 2*i**2 - j. Determine n*v(c) + 2*f(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1683, 3274, 4851, 6414, 7963?\n\"Answer: -7*g**2 + 1612*g + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 12 = 3*y. Let q(i) = -3*i**2 - 2*i + 9. Let b(o) = -4*o**2 - 2*o + 10. Let g(r) = -4*b(r) + 5*q(r). Does 19 divide g(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 11:39 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = -5*n - 9*x - 130, 0 = 3*n + x - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2136231.\nAnswer: 3, 97, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g - 134929*g**3 + 6*g + 135036*g**3)*(-14 - 8 - 3 + 1) in the form i*g**3 + v*g + n + u*g**2 and give i.\nAnswer: -2568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 3*t + 1. Let n = -11 + 11. Let j be 1 - (n - (0 + 3)). Determine r(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 155, 1157, 3865, 9131, 17807, 30745, 48797, 72815?\n\"Answer: 142*p**3 + p**2 + 5*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**3 + r**2 - 39*r - 86. Let s be w(-2). What is the biggest value in 9\/2, 1\/5, 1, s?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2011 (base 3) to base 4\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 36 = -f, -4*f + 71 = -2*o - 49. Calculate the greatest common divisor of f and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-272)\/72) + (-116)\/(-36). Solve r*s = -3*l - 24, -3*s + l - 12 = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 d, and 1 o when three letters picked without replacement from biidiobioidfiidiio.\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1477994 divided by -3\nAnswer: 1477994\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18856225?\nAnswer: 5, 754249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6893887*p**2 + 6896083*p**2 + 1374*p**4 - 3600*p**4 wrt p.\nAnswer: -53424*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7371 and 2266866.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 2. Suppose l - g - 3*g = -1, 0 = -2*g. Let u be i(l). Is 3\/37 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/84100783 or 0?\nAnswer: 8\/84100783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.35 - -0.85. Let d = -6 + 6.3. Which is the second biggest value? (a) t (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:52 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*r**3 - 414*r**2 + 373*r**2 - 540*r**2 wrt r?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/2, 97538, 11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 4*a - 4. Determine w(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.34? (a) 4 (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**7\/315 + q**6\/36 + q**5\/30 - 5*q**4\/36 - 4*q**3\/9 - 23*q**2 + 85. Let l(i) be the second derivative of r(i). Factor l(z).\nAnswer: 2*(z - 1)*(z + 1)**2*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -35. What is the remainder when f is divided by 4\/(-10) - 62\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/26 - 164\/(-52). Let d be (-7)\/(-21)*2\/z. Sort d, 1\/4, -0.4 in descending order.\nAnswer: 1\/4, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 1395.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 225399879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -22\/189, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*p - 498 = -12198. Let g(b) = 4*b. Let q(o) = -170*o. What is p*g(i) + 4*q(i)?\nAnswer: 40*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14150 and 535550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 8*b**2 + 33*b.\nAnswer: -b*(b - 11)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x - 13. What is the units digit of q(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64495*a - 64495*a - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 944739883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 8) to base 4.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50864144?\nAnswer: 2, 29, 109621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/12 + (2 - 148\/72). Suppose 0 = -3*f - 7 - 8. Which is the closest to -8? (a) f (b) -2\/11 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**6 + 37*i**3 + 179*i**2 wrt i.\nAnswer: -120*i**3 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.24 - -0.34. Suppose -3*r - 2*p + 17 - 144 = 0, p = -2*r - 83. Let s = r - -35. What is the nearest to n in s, 1\/7, -1\/8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -65*d. Let i(y) = -34843*y - 13. What is c(i(o))?\nAnswer: 2264795*o + 845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d - 2*u + 96, 0 = -4*u - 8. Let x be 4\/2 + 2574935\/d. Let i = 25742 + x. Calculate the common denominator of i and 69\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.185 + 0.3\nAnswer: 24.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v**4 + 3 + 4 - 6 - 3 + 2*v + 2*v**3 - 16*v**2 - 12*v**4 as b + a*v + p*v**3 + z*v**4 + h*v**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-8 - -2 - 3 - ((7 - -8) + -63))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(704)*1*2.\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (72\/480)\/(924\/1760)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyn when three letters picked without replacement from ybnve?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11628212 - 209.85\nAnswer: 11628002.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 - -111. Suppose -2*q + 101 + 113 = m. Calculate the remainder when q is divided by (40\/(-15))\/(4\/(-42)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 3:50 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2)\/k)**7\/(k*k*(k\/(k\/(k**(-3\/7)\/k)))\/k*k*k**(1\/6)))**(-1\/23))**(-11) assuming k is positive.\nAnswer: k**(-10043\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 861.8 + -819. Does -0.1 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 60, -3 in ascending order.\nAnswer: -3, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11235 = -22*b + 799. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4\/7)*g)\/g**8)**(23\/4)\/((g\/((g\/g**(2\/15))\/g))\/g**1)**(-19) assuming g is positive.\nAnswer: g**(-17221\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**5*u**2 + 7469*q**5*u - 10*q**2 - 93*q - 12*u**2 wrt q?\nAnswer: -60*q**2*u**2 + 448140*q**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0056406 rounded to four dps?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13999705569\/8632 - 1621838. Find the common denominator of 17\/4 and l.\nAnswer: 8632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -14. Let g = b + 3.6. Sort g, 0, 1 in decreasing order.\nAnswer: 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 493 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a**3 + 32*a**2 + 26*a - 112. Calculate s(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 8048 = -4*d. What is the units digit of -2 + (-224)\/(-120) - d\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59723 rounded to the nearest one thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -7728.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*j - 32. Suppose 4*h + j = 2*z + 38, z = -4*h + 25. What is the least common multiple of ((-5)\/(-4) - -3) + 9\/(-36) and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -31. Suppose 2*d + 6 = -d, -5*o - x*d = 91. Which is greater: o or -18?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(1*(3 - 0)). Suppose j = 3*m - 3, n*m - 4*j + 14 = m. Suppose 6 = m*y, 10 - 34 = -2*p + 4*y. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -2*s, -5*n + 2711 = 2*s. Let y = n - 537. What is the smallest value in 1\/4, -0.04, y?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 47 - 18 - 29 - 2*y. Let m(z) = 201*z**2. Calculate m(a(t)).\nAnswer: 804*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b - 41352 - 14*b + 41352 + 40*b.\nAnswer: 35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34747985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5117 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**8\/o*o)\/(o*(o*o\/o**(4\/9))\/o*o)*(o*(o*(o\/o**(-2\/7))\/o)\/o)**(8\/5))\/(o*o*((o**6\/o)\/o)\/o*o*o**(-4\/9)*((o**2*o)\/o*o)**(-11\/4)) assuming o is positive.\nAnswer: o**(12847\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (sqrt(70) - 4*((sqrt(70)*-2 - sqrt(70)) + sqrt(70))))\/(4*sqrt(490)))**2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 9 + 28\/(-8). Determine d, given that 2*d + d**2 - g*d**3 - 4 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1369*2785.9\nAnswer: -3813897.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 18350 and -28.4.\nAnswer: 18321.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 18. Suppose 0 = -3*k + 11 + 4, -4*m - 39 = k. Let v be l(m). Solve 4*n - 3*i + v = i, 5*n = 2*i + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -711, -2396, -5059, -8700?\nAnswer: -13319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.78 (b) 34 (c) 0 (d) -22 (e) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -41\/3*d**3 + 1\/15*d**6 - 2*d + 0*d**2 + 6 + 0*d**5 + 1\/12*d**4. Find the second derivative of k(r) wrt r.\nAnswer: 24*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3328 is divided by 181?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 0.00392?\nAnswer: -0.04312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9139734 plus -127?\nAnswer: 9139607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 8*a - 2 + 4 - 2*a. Let u be w(10). Let x = u + 1. Solve -y = -x*k - 12, y - 9 = 2*y + 4*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*x - 2*n, -3*n - 203 = -200 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471, 460, 439, 402, 343, 256, 135, -26?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 11, -3, 4, -5, 1 in ascending order.\nAnswer: -7, -5, -3, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(605) + 4 + sqrt(605)*-3 - ((-1*sqrt(5) + -2 + sqrt(5))**2 + (sqrt(45) - -3*sqrt(45))\/sqrt(9)).\nAnswer: -26*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 11 - 4 - 6. Suppose 3*f - 1689 = -4*b, -h*f - 2422 = -5*b - 331. List the prime factors of b.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3.1. Let o = u + -0.08. Which is the nearest to 0.3? (a) -3\/8 (b) -5\/2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 - 103. Let y = -20.999824 - m. Round y to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 4*u - 4*r, 4*r = -2*u + 99 - 7. Suppose 11*w = 10*w - 32. Let b be (-2)\/(-8) + (-312)\/w. Calculate the greatest common factor of u and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/8 at least as big as -233249\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 20 = 3*t. Let k = t + -9. Which is greater: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:02 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -38 (b) -1 (c) 1 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41044, 40919, 40768, 40579, 40340, 40039, 39664, 39203?\n\"Answer: -2*t**3 - t**2 - 108*t + 41155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 121 - 193 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x. Suppose -3*r + 8 = -q + 5*q, 2*r + 8 = x. Suppose 114 = -2*j + 4*j - 4*f, q*f - 149 = -3*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 3*b**2 - 4*b. Let l(v) = 3*v + 2. Let a be l(-2). Let k be m(a). Suppose k*f = f - 67. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725975 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 330, 522, 1312, 3000, 5886, 10270, 16452, 24732?\n\"Answer: 50*i**3 - i**2 - 155*i + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 46\/5 of a kilogram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2037515320?\nAnswer: 2, 5, 223, 228421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 909 and 590160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*s - 6 = 0, -3 = -2*j + s + 1. Let d = j - 2. Suppose -70*o = -49*o - 336. Solve -o = -d*l + 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3081557897 to the nearest integer?\nAnswer: 55512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o + 53. Let y be j(-6). Let u(d) = 2*d + 44. Let k be u(y). Let i(c) = -17*c - 15. Let h(l) = 8*l + 7. Give k*i(n) - 13*h(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27032801*l + 5570232 wrt l?\nAnswer: -27032801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3*-114.84\nAnswer: -344.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 14 = -14*j. Suppose 2*z + 11 = 63. Let n = z - j. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180*0.12.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**16)\/(u*u*u*u**19*u*u) assuming u is positive.\nAnswer: u**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/75 and 149\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**3 - 20*k**2 + 87 wrt k.\nAnswer: -6*k**2 - 40*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*356.3.\nAnswer: -3.563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 + 124396*b**3 - 1289571864*b**2 + 4456760279056*b - 4455470831584.\nAnswer: -4*(b - 10366)**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 2369115\nAnswer: -32\/2369115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-2953307.\nAnswer: 11813228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -2)*(-16)\/(-12). Suppose -4*h - 6 = -3*u, 7*u + k*h - 6 = 4*u. Suppose 4*s + u*w + 2*w = 12, s - 3*w = 3. Solve -s*o + 5 = -1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (52 - 0 - 35).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6650*q**3 + 3*q**2 - 42*q + 9. Let d(r) = -147477051*r**3 - 66530*r**2 + 931420*r - 199590. Calculate -3*d(a) - 66530*y(a).\nAnswer: 6653*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 16043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*p - 3*x + 1, -5*p = -3*x - 10. Let i be 10\/(-6)*(-132)\/(-165). What is the closest to p in i, 2, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4161120406 to the nearest integer?\nAnswer: 64507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -2 - 1\/5*c**6 + 0*c**2 + 1\/3*c**3 - 1\/10*c**5 - c + 1\/2*c**4. Let k(w) be the first derivative of p(w). Factor k(h).\nAnswer: -2*h*(h - 1)*(h + 1)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/1122)\/(-3*10\/45).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*n - 92*n - 206*n = -208 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6564, 4, 19.\nAnswer: -6564, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-144) - 60\/(-90)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d + 143*d**2 + 19*d + 54*d**2.\nAnswer: 197*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 21*x**2 - 2300*x + 2849. What is m(108)?\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2625 divided by -21079.\nAnswer: -2625\/21079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341 + -104?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eey. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1\/12*4*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 20*q**2 + 29*q + 33. Let s(x) = 5*x**2 + 7*x + 8. Let d(n) = 9*s(n) - 2*w(n). Suppose j - 2*j - 5 = 0. Is d(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*i = 287, 3*i = 4*h + 148 - 372. Suppose h = 7*x - 144. Suppose x*b - 31*b = -616. What is the greatest common factor of 28 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -698482 and -659148.\nAnswer: -1357630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldlduu. What is prob of sequence uu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158.6 + -92. Let g = l + -87. What is g rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 522.4, -4, -1\/2, 2\/13, 1, 11 in descending order.\nAnswer: 522.4, 11, 1, 2\/13, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2102497\nAnswer: 2102493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18659 and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 1252 in decreasing order.\nAnswer: 1252, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 4*a - 11. What is the highest common factor of 60 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-840)\/(-126)*(30\/(-45) + 19\/15). Let u(d) = 14*d + 3. Let k be u(-5). Let z = k + 95. What is the highest common factor of z and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 43 = -7*l. What is the greatest common factor of 162 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411559 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d**2 + 5*d. Let t(i) = -2*i**2. Give x(t(w)).\nAnswer: -36*w**4 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1\/6 (c) 305 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g - 10. Let q(c) = 35*c + 70. Let u(y) = -2*q(y) - 15*t(y). Let p be u(6). Suppose w = 2*z - 3*w - p, 3*z - 80 = w. List 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 the thousands digit of 118660?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**0*n)\/n)\/n)**46*n**(1\/4)*n**(-1)*(n**(-4)*(n**(-6)\/n)\/n*n)**(-48) assuming n is positive.\nAnswer: n**(2293\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -95377.\nAnswer: -95377.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vfvfvf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/3 - 4)\/(-1). Is 416\/b - 5\/25 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 11*a**2 - a + 15. Let u be p(11). Suppose -5*r = 3*d + 9 + 8, 0 = u*d + r. Suppose -d + 8 = q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lluu when four letters picked without replacement from ufltttttulttt?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 1174 + 1220 = 0. Suppose 2*o + 2*o - 3*u = 18, -4 = 2*u. Is 39 a factor of (-2 - a\/(-6))\/(o\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -3*j**4\/4 - 1139*j. Let h(q) = 3*q**2 - 3*q. Determine h(y(l)).\nAnswer: 243*l**4 + 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*(sqrt(1008) + 3)*2 - (-3 + sqrt(1008) + (-3 + sqrt(1008) - sqrt(1008)) + -4)**2).\nAnswer: -1086 + 312*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 123a?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -316, 0.01, 4, -9, -0.03 in descending order.\nAnswer: 4, 0.01, -0.03, -9, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 26*a**3 - 7*a**2 + a. Calculate the lowest common multiple of 18 and h(3).\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 3. Suppose z = 4*v - x, 2*v = -2*v + 4*z. What is the third derivative of -c**6 - 2*c**2 + v*c**6 - 4*c**6 + 0*c**2 wrt c?\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87381821.\nAnswer: 79, 1106099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - 1 + 1 + (0 + 0 + 2)*(v**2 + 3*v**2 - 2*v**2) + (-3*v + 4*v + 2*v)*(1 - 3*v - 1).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, e: 3, v: 1, q: 2, f: 5}. What is prob of sequence ve?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5264 (base 16) to base 7\nAnswer: 115331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*x = -56, 0 = -3*h - 5*x + 107 - 18. Let v = h - 35. Put v, 1, 2 in descending order.\nAnswer: 2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Let z be s + 0 + (-7)\/4. Solve z - 1\/2*p + 1\/4*p**2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -16*u - 6. Let p(l) = l - 1. Let k(c) = -n(c) - 6*p(c). Differentiate k(m) wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 3*n + 2. Let m be o(2). Let r = -94.48 + 95.28. Which is the closest to r? (a) m (b) 2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n*n\/(n\/(n**(-1\/5)*n)))*n))\/((n*(n**(-5\/9)*n)\/n)\/n))\/(n**(-2\/3)\/(n\/n**(10\/9))) assuming n is positive.\nAnswer: n**(131\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16793, -16732, -16671?\n\"Answer: 61*x - 16854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*n = -6, -4*n + 9 = 29. Suppose -4*u + v = 3*x + u, -2*x = -2*u + 4. Calculate the remainder when 5 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 0 - (73 - (8 - 27 - 31))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = -4. Let a(t) = -t + 12. Let x be a(8). Suppose 3*y + 2*j - 8 = 0, -x*j + 7 = 2*y - 3*j. Solve -d*p + 0 = y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x*x\/(x*x**5*x)*x)\/x)\/x))\/x*x*x**(-11)*x**(10\/7)*x\/((x**(1\/6)\/x)\/x) assuming x is positive.\nAnswer: x**(11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/19))**(-3\/4)\/(r*r*r**10)**48 assuming r is positive.\nAnswer: r**(-43779\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n - 35*n + g - 2 = 0, -4*g = 5*n + 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -40030443 (base 6) to base 14\nAnswer: -213799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -2*h - 16. Suppose 4*r = -2*d + 86, 1 = -r - h*d + 5. Suppose i = -3*o + r, -2*o - 3*i = -4*o + 16. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-12))\/((-1)\/30). Suppose -5*m = p*r + 1555, 544 = 5*m + 4*r + 2096. Round m to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**7\/7 + 53*k**6\/6 - k**3\/3 - 77*k**2\/2 - 59. What is the third derivative of a(i) wrt i?\nAnswer: 120*i**3 + 3180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, 21721, 0.3, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 93425652 to the power of 1\/3, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -987, -1962, -2939, -3918, -4899, -5882?\n\"Answer: -i**2 - 972*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/255*35*1025\/(-350)?\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5263297216 to the nearest integer?\nAnswer: 72549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 9:31 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12315 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axavvmqqvxqv. Give prob of sequence xqqa.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (12 + 7 + -17 + 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869781 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-654)\/(-14) - 2\/(-7). Suppose -4*o - 25 = -d, -2*d + h = d - 5*o. Let f = 246 + -201. What is the greatest common divisor of f and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) 2 (c) -2 (d) 66 (e) -73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -36166, -61, 2, -3 in decreasing order.\nAnswer: 2, -3, -61, -36166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/7*3640\/(-260).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 896, 427, -356, -1453, -2864, -4589, -6628?\n\"Answer: -157*i**2 + 2*i + 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 1. Let w(z) = 9*z**3 - 6. Let v be -12*((-10)\/(-4) - 3). Determine v*s(t) - w(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 39. Which is the second smallest value? (a) -3 (b) n (c) 0 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 j, and 1 b when three letters picked without replacement from {j: 3, y: 1, e: 2, b: 1, i: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 38. Let t be (i*(-1)\/2)\/(7 - 9). Let s = 35 + -33. Solve t = -p - s*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*2*(-1*sqrt(1620) + -3) + 5)**2.\nAnswer: 12096*sqrt(5) + 234064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 17. Let l = 50 + r. Let s(u) = -u**3 - 4*u**2 + 8*u. Calculate the remainder when l is divided by s(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/766255575 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -4658.\nAnswer: -4658.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4) + 24 + -41 + 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3*q*q**6*q*q**7\/((q\/((q**(-7)\/q*q)\/q*q))\/q)*((q*(q*q**(-1))\/q)**(-12\/11))**(1\/94) assuming q is positive.\nAnswer: q**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y. Let c be 0 - 40\/(-1 + -1). Let j(b) = 8*b - 3. Let q(z) = -55*z + 20. Let v(n) = c*j(n) + 3*q(n). Calculate v(u(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + 20 + 3 + 9 + 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 914508.9 years?\nAnswer: 10974106.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 4. Let m(c) = 2*c - 10. Let o be m(6). Suppose 0*t + 2*n + 8 = -3*t, 8 = -o*n. Suppose t = -2*a - 2 - 8. Give j(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-9) + 79\/9. Suppose -6*l = -c*l + 6. Suppose -l*b + 2*y = -84, -b - 2*b + 5*y + 128 = 0. Calculate the remainder when b is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8953 is divided by 1141.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -207*k + 1498*k**4 - 3955*k**4 + k**3 + 1332*k**4 + 1420*k**4 wrt k?\nAnswer: 3540*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12303836 by -3075959.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k - 44 + 43 + 8*k + k.\nAnswer: 20*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 3 - 6*z + 8.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -9 + 1 + 4 + 1 + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1474 + 2173. What are the prime factors of c?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 2*m**2 + 2*m + 3. Let a be l(-2). Let i = 0.188 + -0.188. Put a, i, -3, 0.5 in ascending order.\nAnswer: -3, a, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -134 + 162. Let n be (u\/(-112))\/((-1)\/12). Suppose 2061000 = 3*w - z, -n*w = -6*w + 5*z + 2061000. Round w to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by (28\/(-84))\/(((-5)\/(-30)*4)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 1 - 9. Is (-7 + 0 + 8942)\/(-1 - n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 2*c**2 - 7*c + 6. Let x be v(4). Suppose i = 6*i - x. Let t(a) = -4*a + 2*a**i + 4*a. Let l(h) = -h**2. Determine l(t(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**9\/7560 - f**8\/1680 - f**7\/1260 + f**6\/180 + f**4\/6 + 6*f. Let l(i) be the third derivative of j(i). Factor l(b).\nAnswer: 2*b*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2354 - 0?\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**4 - 260*r**3 - 668*r**2 + 8484*r + 24120 = 0.\nAnswer: -5, -3, 6, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 1 - 5. Calculate the smallest common multiple of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1103435.55 to the nearest ten thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + ((-814)\/144 - ((-39)\/8 + 5)). What is the second biggest value in 2\/13, -2, -1, l, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 2050*n - 129652. What is d(68)?\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1927341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3726, -11729, -19730, -27729, -35726, -43721?\n\"Answer: r**2 - 8006*r + 4279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-2*(-1638)\/(-780)*-2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1054*c - y - 18952 = -5*y, -38*y - 47 = -4*c - 76*y + 33*y for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 3*l**2 + 3*l**2)*(3 + 2558*l**2 - 2564*l**2 + 4) + (-3*l + 0*l + 2*l + 2*l**2)*(l**3 - l**2 + l**2).\nAnswer: -10*l**5 - l**4 + 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 + 33*s**2 + 309*s + 1415. Give c(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 41 = -p, 2*l + 7 + 4 = p. Solve -p + 1 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 31. Let d(z) = 3*z + 8*z + z**2 - 3*z + 0 + 2. Determine d(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1072*c + 3193. Give l(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2421 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofafcflfffffhfh. Give prob of sequence fo.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/35 in -2, -2\/25, 2\/13?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55171 or -55018?\nAnswer: -55171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4054, -16131, -36238, -64375?\n\"Answer: -4015*z**2 - 32*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-44 - (-4 + -36))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-9)*h\/h**(-1\/7))**(-21)\/((h\/h**2)**(-25)\/(h**2\/h)**(-6\/17)) assuming h is positive.\nAnswer: h**(2374\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/7 - 486*k**2\/7 - 39366*k\/7 - 1062882\/7.\nAnswer: -2*(k + 81)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 217, 438, 659, 880, 1101, 1322?\n\"Answer: 221*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -2\/7 (c) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, p: 2, r: 6, o: 1}. Give prob of picking 2 r.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 6*p + 4. Let w be 5\/6 + (-2)\/(-12). Suppose w = -y - 4. Determine d(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1104 = -4*u + 10*u. Does 23 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -845*z + 844*z - 24600 = 0. What is z rounded to the nearest 100?\nAnswer: -24600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, c: 1, g: 2, w: 1, z: 1, k: 4}. Give prob of sequence wgc.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11291070 is divided by 662.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 726904.3mm?\nAnswer: 0.7269043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 340*f**3\/3 + 7*f**2\/2 + 9*f - 998. What is the second derivative of o(k) wrt k?\nAnswer: 680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 9. Let a be c(-11). Find the second derivative of 338*m**5 - a*m**2 + 2*m**2 + 11*m - 342*m**5 wrt m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/2 - -3. Suppose 0 = 3*h - 0*h. Suppose -2*i - 5 = -1. Sort h, i, s in decreasing order.\nAnswer: s, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 37. Let v(r) = -r - 2. Let a(f) = 2. Determine d*a(q) + 3*v(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 p when three letters picked without replacement from lpplp?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**3\/3 - 3*f**2 - 2*f. Let u(v) = 9 - 7 - 3. Calculate -c(d) + 6*u(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:08 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (9 - (-11 - -53)) - -14\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 250825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 10. Suppose c + 14 = -c. Let d be r(c). Let k = d - 23. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -4 (b) -0.2 (c) -60 (d) 0.5 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6402, 6400, 6398?\n\"Answer: -2*z + 6404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -267.5 + 362. Let h = z + -95. Which is the third biggest value? (a) 5 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1056, 2035, 3014, 3993, 4972, 5951?\nAnswer: 6930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5\/4*w**5 - 35\/4*w**4 + 20*w**3 + 0 - 15*w**2 + 0*w = 0?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 41 = -3*a - 0, -l = 3*a + 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305.2796 kilometers to centimeters.\nAnswer: 30527960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5464706.\nAnswer: 2, 13, 101, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 144 + -129 + (-1 - 12) + 10 + 2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -145*i**2 - 450*i - 45 = 0.\nAnswer: -3, -3\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((182\/(-13))\/56*(-1)\/(-2))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3\/5 (b) 515 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 7:03 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*q - 18, -4*q + 0*h - h + 16 = 0. Let a = -5 - -4.7. What is the third smallest value in a, -11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -5*h**5 - 52*h + 7. Find the first derivative of q(i) wrt i.\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-8) - 5\/20. Let c(l) = -4*l**2 + 24 + 3*l**o - 1 - 22*l. Let v(b) = -3*b**2 - 87*b + 93. Let i(y) = -15*c(y) + 4*v(y). Factor i(n).\nAnswer: 3*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102556238 is divided by 6409764.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*k + 30*k**3 - 205*k + 82*k.\nAnswer: 30*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146 + -240. Let z = t - -96. Let w(v) = 60*v**2 + v - 2. List the prime factors of w(z).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**4 - 394*j - 2*j**4 - 429*j + 50*j - 2*j**2 as l + o*j**4 + n*j**2 + m*j + i*j**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/7 - 2*g**3 + 68\/7*g + 38\/7*g**2 = 0. What is g?\nAnswer: -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9859 and 2188767013?\nAnswer: 9859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g**4\/3 + 64914*g**3 + 330918*g**2 + 875888*g\/3 + 25952 = 0 for g.\nAnswer: -9732, -4, -1, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -237954 + 16.5?\nAnswer: -237937.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 5)*(-1 + 0 - 4)*(1 + 0 - 2)*((4 + x - 4)*(-6*x + 2*x + 3*x) + 23*x**2 + 5*x**2 + 14*x**2) to the form o + w*x**2 + t*x and give w.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -14*x**2 - 17*x - 4. Let b(w) = 0 + 1 - 185*w + 5*w**2 + 191*w. What is -8*b(y) - 3*n(y)?\nAnswer: 2*y**2 + 3*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 9:50 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (19\/(-5) + -1)\/(54\/(-180)). Suppose 27*l + c = 31*l. Calculate the least common multiple of 104 and l.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*h + 562, -4*h + 115 = -3*n - 225. Let k be (-102)\/n - (-24)\/(-84). Let c = 3\/8 - k. Is -1 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, w: 1, k: 3, h: 2}. Give prob of picking 2 h and 2 k.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/8464 and -19\/253.\nAnswer: 93104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*m - 11 = 0, 4*m + 11 = -6198*j + 6197*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/9 - 2359*z\/9 - 2360\/9.\nAnswer: (z - 2360)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 565100 to the nearest ten thousand.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 529*t + 527*t - 1054*t - 9 to r*t + q and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -0.4, 31, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 169 = 197. Suppose p*u = 65*u - 30572. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001063 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 11*d + 2. Let m(p) = -p**2 + 6*p - 7. Let l be m(5). Let n(g) = -g**2 - 12*g - 2. Let b(y) = l*n(y) - 3*z(y). Is b(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 114201520 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332653068 + 1315?\nAnswer: -1332651753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1581, -2950, -4319?\n\"Answer: -1369*k - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**3 - 5*m**2 - 6*m - 14. Let f(v) = -4*v**3 + 5*v**2 + 6*v + 13. Let a(t) = -6*f(t) - 5*g(t). Let o be a(-4). Solve -z + o*z = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -656? (a) 4 (b) -4 (c) 3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = -18. Calculate the remainder when 36\/72*(36 + (-3 - -1)) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11441.988 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (6 + 0) - -4. Let n(p) = 10*p**2 + 2*p + 2. What is the remainder when n(-1) is divided by (8\/(-20)*a)\/((-1)\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (13\/143)\/((-40)\/(-368)) and -42\/121.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390.96 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 13*j - 19. Let v be r(11). Solve 2*p - v*p + 5*y = -5, -2*y = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, x: 3}. What is prob of picking 3 x?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -6*a**3\/7 - 24*a**2\/7 + 37080*a = 0.\nAnswer: -210, 0, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03330697 less than -5697?\nAnswer: -5697.03330697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*w**3\/2 + 19*w**2\/2 + 11*w\/2 + 1\/2.\nAnswer: (w + 1)**2*(9*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from aeeeeeee.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 7:14 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3266.42 - -3377. Let i = u + -111. Let q = i + 0.31. Which is smaller: q or 2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 4. Suppose -2*g + 5*g - 5*u + 14 = 0, 5*g = -5*u - 50. Let n be ((-14)\/g)\/(1\/(-4)). Is l(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4\/7 - 125*n**3\/7 + 604*n**2\/7 + 300*n\/7 - 432\/7 = 0. What is n?\nAnswer: -1, 2\/3, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*w = -11, 2*z + 4*w = 12 + 10. Suppose 0 = g - 4*g + 216. Suppose z*o - 6*o + g = 0. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*c + 10*c + 7*c + (4 - 5 - 1)*(-2*c + 3*c - 3*c) - 3*c - 3*c - c + (0 + 0 + 2)*(7 - 7 - 2*c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160480\/1416 - (-5 - ((-7)\/21 - (0 + 4)))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**2 - 117*h - 34. Let v be c(17). Put 1, 5, -5, v in descending order.\nAnswer: 5, 1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l. Let f(m) = -813*m - 2. Give -f(d) + 2*x(d).\nAnswer: 811*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 15, j: 4}. Give prob of picking 2 u.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/63 - ((-3598)\/(-315) - (-7 + 14))?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ees. What is prob of sequence es?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -244, -973, -2182, -3865, -6016, -8629, -11698?\n\"Answer: n**3 - 246*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1845 divided by 1?\nAnswer: -1845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*d - 354 = 0. Does 15 divide d\/(-4) - (-4)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3\/4, 2, 2\/5, -1971, -13 in descending order.\nAnswer: 2, 2\/5, -0.2, -3\/4, -13, -1971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*w - 66*w - 55 = 5*n, w + 44 = -4*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2663, 2647, 2619, 2573, 2503, 2403?\nAnswer: 2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1496 and 7131806.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19871895 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*731.65.\nAnswer: 2926.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*w. Let q be (2\/3)\/(w + 4\/(-384)). Let u(h) = -3*h - 41. Let f be u(8). Are q and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 13 = 13*k + 5*x, 4*k - 3*x = 39 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59.6 - 58.6. Suppose -3*y = 0, -2*z + 82 = -0*y + y. Let p = 24 - z. Which is smaller: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/15 + 344\/10. Suppose 4*n = -4*r + 136, 4*n = r - n - y. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 10*k**2 + 12*k - 37. Determine t(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22 (b) 0.4 (c) -2 (d) -6 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 2*f + 1. Let w(q) be the first derivative of -q**3\/3 - q + 53. Let m = 17 + -18. Determine m*t(l) - 3*w(l).\nAnswer: l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*i = 186, -7*i + 11*i + 1002 = 5*t. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1424 (base 8) to base 4\nAnswer: -30110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 0.5, -0.11, 19.28 in ascending order.\nAnswer: -6, -0.11, 0.5, 4, 19.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, u: 3}. What is prob of picking 1 u and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 12, 0, -16, -36, -60, -88?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14448*q + 1171599 + 851121 for q.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2 + ((-2)\/(-5))\/(228\/45885).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 + 2*i - 1. Suppose -7 = -4*c + 5*c - 5*x, -3*x = 4*c - 18. Suppose -b - 2*m - 15 = -c, -4*b + 3*m = -7. Determine w(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y + 8. Let j be l(3). Is j at most as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-90)\/(-20))\/(3\/16). Suppose 2*g + g = -5*y + 4, 2*g - o = 2*y. What is the remainder when 30 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(5*-6 + 0). Suppose -n = -p - 4*p. Calculate the remainder when 33 is divided by p\/(-9)*(-102)\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2220, -1883, -1558, -1251, -968, -715?\n\"Answer: -n**3 + 344*n - 2563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/4, -0.5, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**4 + 2*s**3 + 3946*s**2 - 36091*s + 2 wrt s?\nAnswer: 12*s**2 + 12*s + 7892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 - 42. Let n = s + -73. Suppose -2*l + g = 3, -4*l = -3*g - g + n. Which is greater: -3\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24a (base 13) to base 8.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*f**3 + 21*f**2 - 21*f**2)*(6 - 3 - 5).\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -31*k. Let z(t) = 264*t + 2. Give o(z(j)).\nAnswer: -8184*j - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5*h + 87, 60*i - 55*i = -23*h - 360 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32966906?\nAnswer: 2, 7, 336397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739576828 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*18.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1196642.\nAnswer: 2, 727, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) -1870.4 (c) -0.55 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772676189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 955?\nAnswer: -946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*m + 4*r, -m - 4*r + 20 = m. What are the prime factors of ((-2)\/m)\/(5\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4751374 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 15. Suppose y*j + 6*j - 1560 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q - 98 = 2*z, 4*q = 3*z + 194. Let p = 1511 + -1520. Let d = p + q. Calculate the highest common divisor of 95 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**5 - 4680*w**4 - 1085715*w**3 + 4403900*w**2 - 3313500*w = 0 for w.\nAnswer: -470, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*n - 55 = n, 4*n = -4*z - 44. Suppose -5*u + 0*u = -5. What is the units digit of (-1)\/u - (1 + z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 2:59 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, a: 1, y: 3, h: 1, r: 2}. Give prob of sequence yyfa.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/240 - (-26)\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-174)\/319)\/(12\/(-88)). Solve -3*k + 2 = -2*b, b - k = 2*b - a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64922.\nAnswer: 2, 11, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/2 - 947*q\/2 - 8816 = 0. Calculate q.\nAnswer: -928, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37.96 - -38. Which is the nearest to 0? (a) -24 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 0*i**2 - 2*i**2 - 7*i - 2. Let s(r) = -2*r**2 - 4*r - 1. Let v = 436 - 430. What is v*n(a) - 10*s(a)?\nAnswer: 2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -0.1. Let g = t + -0.26. What is the smallest value in -4, 1\/5, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1114*q**2 - 3676*q**2 + 1265*q**2.\nAnswer: -3525*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17681557.13 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l. Let f(k) = 2 - 3 + 4*k**2 - 2 - 7*k + 2. Let m be f(2). Determine r(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-357)\/54 + (-4)\/24?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 - -78. Let j be 4\/(-16) - 86\/8. Sort -1\/2, y, j.\nAnswer: j, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 183, 178, 173?\n\"Answer: -5*k + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1693, -1678, -1663, -1648?\nAnswer: -1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 6, y: 3, a: 3, h: 1}. What is prob of sequence hu?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 576, 477, 200, -345, -1248, -2599, -4488?\nAnswer: -7005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -162518.2152 to the nearest ten.\nAnswer: -162520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -473.869 + -1.131. Let d = -475.0001944 - t. What is d rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24\/19*b**4 + 6\/19*b**2 + 0 + 2\/19*b - 4\/19*b**3 - 16\/19*b**5 = 0 for b.\nAnswer: -1, -1\/2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1567 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 1:34 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -2*n**2 + 15*n - 21. Let l be b(4). Put l, -3, -5, -0.5 in increasing order.\nAnswer: -5, -3, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103 (base 9) in base 11?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(34)\/sqrt(2))**2 + -3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(117)*2)\/sqrt(9)*1 - (-2*sqrt(234) - sqrt(234))\/(sqrt(56)\/sqrt(7)).\nAnswer: -15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (37 - 25)) + -7.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91728 and 3952?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -114?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 + -233?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*n - 29, -4*s = 3*n - 0*n - 34. Let j(w) = -w + 99. Let p be j(0). What is the remainder when 47 is divided by (p\/21 + -3)*s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minus 125690391578?\nAnswer: -125690391482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2. Let r(v) = -4*v - 12. Determine r(a(o)).\nAnswer: -24*o**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53378.4 rounded to the nearest ten?\nAnswer: 53380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - a + 3*a**3 + 1 + a**2 - 3*a**4 - 15*a**2 - 3 + 7*a**2 to the form v + z*a**4 + u*a**2 + r*a + f*a**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 703*t + 62663. Let i(j) = -j**2 - 352*j - 31331. Let w(x) = 5*i(x) + 2*z(x). Solve w(q) = 0.\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 95 = -g. Let h = -15 + 5. Let n = h + g. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/1089, 0, 17?\nAnswer: -2\/1089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13223132133 (base 4) in base 12?\nAnswer: 810b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*t**5\/13 + 2564*t**4\/13 + 9336*t**3\/13 + 6256*t**2\/13 - 320*t = 0. Calculate t.\nAnswer: -2, 0, 2\/5, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, l: 7}. Give prob of picking 4 n.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 981*d**4 - 1 + 1975*d**4 - 986*d**4 as c*d**2 + a*d + y*d**3 + t + p*d**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 15\/3 - -5. Suppose 0 = -2*x + 5*z + 180, c*x - 6*z + 3*z - 172 = 0. Calculate the remainder when x is divided by (63\/(-2))\/3*4\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 8 + 3 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 41*g - 705211 - 1039859. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -58*k + 51 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -656450 rounded to the nearest one thousand?\nAnswer: -656000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = -4*p + 5*m + 2, 3*p + 4*m = 1. Let o(b) = 29*b - 10. What is the units digit of o(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 6:51 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1147 + -1155. Put 1, 0.09, -3, o in ascending order.\nAnswer: o, -3, 0.09, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4333810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**11*v*v**(-1\/3)\/v*v)\/(v**(-1)\/(v*v\/v**10*v)) assuming v is positive.\nAnswer: v**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-390)\/10)\/(7 - 0) and -103\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 2*m**2 + 86*m + 379. Determine c(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - 3*h**3 + 7*h**3)*(2*h + 2*h - 3*h) + (2*h**3 + 2 - 2)*(-7 + 3 + 0*h + 4*h).\nAnswer: 10*h**4 - 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q**2 - 25*q + 88. What are the prime factors of w(-17)?\nAnswer: 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:58 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 16 + 6. Solve -4*y - 4 = -m*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*n + 14 = 83*n. Suppose -370 + 2372 = n*o. What are the prime factors of o?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -6, -2*r - 226 = -4*i - 3478. 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: Find the common denominator of 97\/650 and 151\/100800.\nAnswer: 1310400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 - 3. Let u = -817\/11 + w. Find the common denominator of u and 47\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(5\/6 + (-206)\/276)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**2 - 21*n - 17. Let p(v) = 163*v - 1638. Let a be p(10). Let q(y) = -2*y**2 + 7*y + 6. Give a*q(d) - 3*x(d).\nAnswer: d**2 + 7*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1287324 is divided by 117029.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.118319 - 0.118. What is p rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*l - m = -714*l - 30, -4*l - 4*m - 48 = 0 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 353 = 2*m - 3936, 3418 = 4*n - 5*m. What are the prime factors of n?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3651045 + -2404626. Let j be ((-1)\/30)\/((-38)\/d). Let t = 1092 - j. Calculate the common denominator of -125\/96 and t.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 0*b - 9*s + 8 = 16*s - 29*s, -4*b = 8*s + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5415 or 70410\/13?\nAnswer: 5415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (882\/(-11760))\/(6\/(-8))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**2 - 5\/6*r**6 + 0*r + 0*r**3 + 0*r**5 + 3 + 0*r**4. What is the second derivative of o(b) wrt b?\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1251.00011132 - -1251. What is h rounded to 6 decimal places?\nAnswer: -0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -485? (a) 2 (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2, -274?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/((-55)\/(-99))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) -0.3 (c) 1.2 (d) 872374\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*x - 87 = 0, 0*x - 4*x = 3*i - 122. Suppose -v - v + 7 = k, -3*k + 5*v - i = 0. Let c = -1 - k. Solve -5 = -3*r + c*l, 3*l + 2 = 5*r - 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*k - 9, 3 = -3*z + 3*k - 3. Let h be (-7 + 5 + 3)\/(2 + z). Is ((-25)\/(-10))\/(h\/1006) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -42 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 917659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 31. Sort -4, v, 3, 4 in descending order.\nAnswer: 4, 3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3.9, 2, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 44*o - 127. Solve -o*h - 21 = 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -523*t**3 - 2*t**2 + 26*t + 79. Let y be m(-6). Suppose -11*g = -51840 - y. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/5)\/((-21)\/15) + 4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1)*(-2 + 0). Let n be (-18)\/7 + (-2)\/(-1). Is s less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13233 and 139623.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, k: 4, s: 4, e: 2, p: 2, t: 1}. What is prob of sequence oeop?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -33. Suppose -5*v + v + 12 = l. Let h(y) = y - 3*y - 2*y + v*y. Let i(n) = -26*n**2. Give i(h(b)).\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/((-32)\/(-318)))\/(9\/(-6)). What is the third derivative of 2 - v*x**3 - 2 - 29*x**2 wrt x?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 8:53 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3372460?\nAnswer: 2, 5, 7, 13, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.06 or -4\/13?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 240732575 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004773812 to seven decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 6*w**2 + 9*w. Calculate x(6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from ccciiricicciciircc.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n = -41*n - 570. Let o(i) = -112*i**2 + 0*i + 0*i + n*i**2. Let l(p) be the first derivative of -13*p**3\/3 + 1. Determine l(o(k)).\nAnswer: -52*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9022392293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100175 (base 10) in base 9?\nAnswer: 162365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120\/7*r + 1800\/7 + 2\/7*r**2.\nAnswer: 2*(r + 30)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 7*w**2 - 8*w + 49. Suppose 4*r + 5*l = 27, -12 = -r + 4*l - 0. What are the prime factors of b(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 78, 4 in descending order.\nAnswer: 78, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*l = -2*p + 398, -5*l = 10. Calculate the common denominator of 44\/(-176) - 158\/p and 23\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33977?\nAnswer: 61, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -17*w**3 - 9*w**2 - 32*w. Let s(u) = 71*u**2 - 66*u**2 + 3*u**3 - 8612*u + 6*u**3 + 8628*u. Calculate -11*s(o) - 6*x(o).\nAnswer: 3*o**3 - o**2 + 16*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 245859 - 988447\/4. Let p = -442 + -795. Let b = p - g. Find the common denominator of 55\/8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7594, 15120, 22580, 29974?\n\"Answer: -33*t**2 + 7625*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x = -25*x - 2360. Does 48 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313320 + -1?\nAnswer: -313321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -13*(-1 - (1 + -3)). Let s = 15 + y. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**3 + 1485*u**2 + 13680*u + 27540 = 0?\nAnswer: -6, -3, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 202650 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12029400 by -4.\nAnswer: -3007350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 6*w + 1. Suppose 0 = -0*d + d - 1. Let s = 7 - d. Let a be l(s). Is 2 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4927*x + 33. Is 160 a factor of r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q + 4. Let w(p) be the first derivative of -p**2\/2 + p - 1. Let f = 6 + -4. Suppose 26 = j + 3*x + 2*x, f*j + x - 7 = 0. What is j*i(b) - 4*w(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -1 + (99 - 60).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4814590 a multiple of 346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001277 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -911438054530.000000707 - -911438053778. Let l = o + 752. Round l to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 times -0.5591?\nAnswer: -242.0903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**18)*x)**(-11)*(x\/x**(-4\/3))**(-2\/5))**(-28) assuming x is positive.\nAnswer: x**(-78148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 5*g**2 - g**2 - 17406*g**3.\nAnswer: -17406*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -8) + (2 - 7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/3))**(-13\/5)*t**(-7)*t*t*t\/(t*((t\/t**(2\/57))\/t)\/t) assuming t is positive.\nAnswer: t**(-459\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, d: 2, y: 7, m: 2, r: 1, u: 4}. What is prob of sequence mddy?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 326426 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 94*p**3 - 4*p**2 - 11*p - 8. Determine q(-2).\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 730 by 96.\nAnswer: 365\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3402 - 3372. Suppose 5*g + 56 = -4. Let h = 20 + g. Solve 2*f - 5*c - w = -3*f, -2*c + h = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-22)*2\/(-3) - 8590\/110\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w + 1. Let m(u) be the third derivative of 7*u**4\/8 - 2*u**2 + 99. What is m(p(k))?\nAnswer: -147*k + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 13 = -5. Let n(m) = -5*m**3 - 3*m**2 + 3. Let u = -2 - -7. Let i(f) = -u*f**2 - 8*f**3 - 2 + 7 - f**3. Determine a*i(h) + 5*n(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (-258 - -261)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 - 320*v + 1796. Suppose -52 = t - 158. Calculate the smallest common multiple of t and o(6).\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11899+2\nAnswer: -11897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + 5 + 1.\nAnswer: 6 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -237554, -19, 1?\nAnswer: -237554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10464*x**3 - 236*x**2 + 21*x + 46. Let f(r) = -2093*r**3 + 47*r**2 - 4*r - 9. Let c(a) = 21*f(a) + 4*m(a). Find the third derivative of c(b) wrt b.\nAnswer: -12582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123*a**5 - 22*a**2 - 19 wrt a.\nAnswer: -7380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490916 and 6014?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3120014013031 - 2?\nAnswer: -3120014013033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + 3*f**3 + 10 + 3*f**2 + 2496*f - 2496*f in the form v*f**3 + q + g*f**2 + s*f and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23410, -93646, -210706, -374590?\nAnswer: -585298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 438 divided by 146\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.28? (a) 1 (b) 2\/13 (c) -1950\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -401*g**3 - 2*g**2 + 29*g + 109. Is r(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y**2 - 36*y**2 + 0*y**3 + 2*y**3 + 18*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -953*b - 6080. What is the remainder when r(-7) is divided by 197?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2. Let o(p) = -p**2 - p. Determine 5*n(x) - 3*o(x).\nAnswer: -2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h + 1. Let m be (-3567)\/(-18) - 11\/66. Suppose -5*o + 2*o = 3*r - m, -3*o = -9. Calculate the least common multiple of r and x(4).\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n + 9. Does 9 divide l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 7:35 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b**2 - 4*b - 5. Let m(r) = -5*r**2 + 3*r + 4. Let o = 5 - 3. Let j = -2 - o. Suppose 0*i + 3*t = 4*i + 23, 3*t = -i - 2. Determine i*m(d) + j*n(d).\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b7 - -2?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*i - 82*i - 10*i**2 + 385*i - 11*i**2.\nAnswer: -21*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-18)*(b**(1\/16)\/b)\/b)**(34\/7) assuming b is positive.\nAnswer: b**(663\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -249, -2, 2, -4\/5, -0.5 in decreasing order.\nAnswer: 2, -0.5, -4\/5, -2, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**3 + 8*x - 1. Let y(h) = -h. Let t(k) = -c(k) - 6*y(k). Calculate the least common multiple of 10 and t(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-1 - (-1)\/2). Suppose 4*u - 3*p = 34 + 20, 8 = -4*p. Solve -c - 3*s = 6, 2*c - o*s - 3 = u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1270090 or -1270091?\nAnswer: -1270090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 8. Let p(j) = j**2 + 8. Let r(a) = -7*n(a) - 6*p(a). What is the derivative of r(u) wrt u?\nAnswer: 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/(-36) - 1\/4. Let w be (-75)\/30*(-8)\/(-5). What is the nearest to p in w, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.5, -3036 in increasing order.\nAnswer: -3036, -4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3 = 3*v, 0 = 24*v - 25*v + 16*a + 148 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43495\/29 + -1500. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -476 and -8.23.\nAnswer: 3917.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (28863\/4276)\/(54\/(-240))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.65 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -435*m - 16 - 15 + 33 + 1490*m in the form h + d*m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*v - 2*v**4 + 3*v**3 + 5 - 3 + v**2 + 9*v as i*v**4 + h*v**2 + y + d*v**3 + o*v and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 16*b**2 + 49*b + 50. Give g(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-31))**(-38) assuming v is positive.\nAnswer: v**1178","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 163416921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 499646712.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 90, 358, 804, 1428?\n\"Answer: 89*p**2 + p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85028627 to the power of 1\/3, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 27*g - 49. Calculate y(26).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h - 8. Let n(t) = -10*t. Determine k(n(w)).\nAnswer: 90*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-1) - (12 + 2952\/(-6)). Let g = n + -261. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2. Let z(y) = 50*y**2 - 20. Let w(o) = o**2 - 1. Let k(l) = 20*w(l) - z(l). Determine k(j(h)).\nAnswer: -30*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 6:14 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1631086 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 618 and 22?\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 12 + 4 + 7. Let n(b) = 5*b - 3. What is 3*n(y) - 7*t(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104393.16 months to centuries.\nAnswer: 86.9943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13796822 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13613 or -13611?\nAnswer: -13613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1331*u + 1738*u + 1839*u - 1252*u - 59*u)*(-126 + 126 - 24*u + (-u + 0*u + 3*u)*(4 + 3 - 5)) as z*u**2 + o + f*u and give z.\nAnswer: -71940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 50*b**2 - 4*b + 5. Is r(1) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 1. Let s be u(-6). Suppose 0*k - 1 = -k, -s = -2*w + k. Let y = 0 + 4. Solve r + w*q + 21 = -y*r, 4*q + 20 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*m + 133080 = 0, 177410 = -7*b + 11*b - 3*m. What are the prime factors of b?\nAnswer: 2, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/48 and 47\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -6, -600, -4\/223?\nAnswer: -4\/223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1.52.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -3\/2, -0.8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2233 (base 4) to base 2\nAnswer: -10101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 630109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608314 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71270*f**2*j*u - 2*f*j*u - 2*f*j - 119 wrt f?\nAnswer: 142540*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 58792746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -92433.\nAnswer: -1\/92433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 8:10 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u + 430 - 389 = -1765 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yydjy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003199139757 rounded to 6 dps?\nAnswer: 0.003199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 37, 0.4, -3, -1, 1821, -4, 6?\nAnswer: 1821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1548, 0.2, -4?\nAnswer: 1548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 + 4*i**3 + 2 - 2*i + 3*i**3 - 6*i**3. What is the units digit of v(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 2*v + 6*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*f - 7, 2*f + 3 - 5 = -2*s. Let j = -138 + 143. Which is the closest to 2\/7? (a) s (b) j (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 0*k + 2\/7*k**2 + 8\/7*k**3 + 6\/7*k**4 + 0 = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -13, -3, 24, 1.\nAnswer: -19, -13, -3, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7794426*o**2 - 9617635*o.\nAnswer: -15588852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*l**3 - 88*l**2 + 1151*l + 9418926.\nAnswer: -33*l**2 - 176*l + 1151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7412295)\/110)\/((-3)\/(-20)). Round a to the nearest ten thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 910*p**2 - 932*p - 19135. Calculate f(-911).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqgqgwygyglyq. What is prob of picking 1 y and 1 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -376*f - 4990. Determine k(-13).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8474396 millennia to years.\nAnswer: 847.4396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, u: 8}. What is prob of picking 1 u and 3 z?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*d**4 - d**2 - 2*d**2 - d + 3*d**3 - 44*d**4 to y*d**2 + u*d + z*d**4 + l*d**3 + n and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - l - 1. Let f be k(-2). Suppose -r = -2*c + 3*c - 19, -3*r + 61 = f*c. Let o = r + -4. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/17 (b) 1\/3 (c) -2.7 (d) 2\/17 (e) 2 (f) 253 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 48*n - 11. Let a(w) = -192*w + 46. Determine 2*a(q) + 9*i(q).\nAnswer: 48*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.997 + -20. Let w = 0.002815 + f. Round w to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**3*b*b))**(1\/76)*(b*((b\/(b**3*b))\/b)\/b*b)\/(b*b*b**(-13)))**36 assuming b is positive.\nAnswer: b**(5436\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 2. Let c = -10 + 19. Suppose s = j + 5, -4*s - 5 = -c*s + j. Let o be s\/((-3)\/((-6)\/4)). Determine k(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13, 15, 25, 43?\n\"Answer: 4*f**2 - 10*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30.2 and 0.242642.\nAnswer: 7.3277884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*h**2 - 54634 + 54634 - 5*h**3)*(-1 + 3 - 3).\nAnswer: 5*h**3 - 79*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 7. Let l(c) = 2*c + 6. Let x(o) = -3*l(o) + 4*q(o). What are the prime factors of x(10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -344981069*c**3 + 2*c**2 + 5400*c + 20189 wrt c?\nAnswer: -2069886414*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o**2. Let a be q(1). Let g(d) be the second derivative of d**4\/12 + 5*d**3\/6 - 2*d + 58. Calculate g(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10886 smaller than 10885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4)*(-5 + 4)*242. Let b = 212 + s. Calculate the common denominator of -71\/12 and (-1 - b\/(-42))*21\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110111 + 1110011100100?\nAnswer: 1100010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-210 + 52 - 67)*(-x - 3*x + 3*x).\nAnswer: 225*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -93 + 156 - 2*x**2 + 21*x - 78. Let s be o(7). Solve -14 = -5*g - s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697 = -34*o + 1921. Let v(d) = -31*d - 181. Let r be v(-7). Calculate the highest common divisor of r and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)*v*v**2)\/(v\/(v*v**(4\/5))*v**(-13)\/v) assuming v is positive.\nAnswer: v**(351\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 904\/(-10) + (-1)\/((-25)\/10). Let q = 37 + f. Let s = q - -76. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -8, -5, 4 in ascending order.\nAnswer: -8, -5, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 9 = a - 3*q, 3*a = -q - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 - 106. Let m = 42 + t. Factor 1\/2*s + m - s**2 + 1\/2*s**3.\nAnswer: s*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3029, 3, -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8))**(-1\/2)\/(n**(-8)*n**(-1\/28)) assuming n is positive.\nAnswer: n**(337\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3601*m**5*r**2 + 25*m**2*r - 4*r**2 - 8 wrt m.\nAnswer: -216060*m**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000708775 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2 and 1443\/360 + (-12)\/90?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6791 + -81391\/12. Find the common denominator of -71\/100 and v.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 24 = k, -4*l - 20 = -5*k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrfrfsssasr. Give prob of sequence fasr.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/10*(455\/28)\/(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45014792 divided by -2?\nAnswer: -22507396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, x: 4, s: 1, r: 6, k: 5}. Give prob of sequence kkp.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = j - 2*a, -4*j - a = -13. Suppose j*y - 668 = 5*o + 182, 4*y = -2*o + 864. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -8. Suppose -2*h + p*h = 138. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**8\/336 + 2*b**7\/105 + 59*b**6\/120 - 37*b**5\/30 - 140*b**4\/3 - 784*b**3\/3 + 29*b**2 - 3. Suppose i(j) = 0. Calculate j.\nAnswer: -4, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 2*v**2 - v**2)*(-36 - 2*v + 2*v**2 + 36 - 22*v**3).\nAnswer: 66*v**5 - 6*v**4 + 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/5))**(-9)*(m**(-2\/5)\/m)\/m**(1\/5) assuming m is positive.\nAnswer: m**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 14 = 11. Let r = 3.99 - -0.01. Which is the smallest value? (a) k (b) 1\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*w - 2*w**4 + 3 - 2*w**2 - 2 + 1 to m*w**2 + z*w**3 + j*w**4 + x + d*w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 31*a**3 + 3*a**2 - 4*a + 4. What is the tens digit of d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 12*r**2. Let z(s) = -8*s**2 + 4*s - 4. Let u(q) = 16*q**2 - 9*q + 9. Let l(a) = -4*u(a) - 9*z(a). Determine l(h(i)).\nAnswer: 1152*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 73*w - 103. Does 2 divide f(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/((-39)\/(-9) - 4). Let u = 63 - i. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155587*j**4 + 14*j**3 + 15*j**2 - 439?\nAnswer: -3734088*j + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 - 2*s**2 + 5*s**2 - 161*s + 161*s + 22*s**2 + (4*s - 4*s - s**2)*(0 + 0 + 2) + s**2 + 0 + 0.\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34031, 33985, 33907, 33797, 33655, 33481?\nAnswer: 33275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5937 or -1446?\nAnswer: -1446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01237277 or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 558*z - 203*z + 220*z - 9670 + 1620 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1277*n + 5853 - 9909 - 10700 = 14615 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (1 - 0)) + -135 + (17 - -105)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2381145 is divided by 595269?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000628649 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 + 146*a**2 + 93*a**2)*(1 - 1 + 2*a**2).\nAnswer: 488*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28995031, 28995032, 28995033?\nAnswer: 28995034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 1278 - 1294. Put 1\/13, m, -13, -1 in descending order.\nAnswer: 1\/13, -1, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammmaliaammraaaaia. What is prob of picking 1 a and 1 r?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Let p = g + -1. Let d = p + 3\/5. Is d greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*i**2 - 38*i + 4.\nAnswer: 2*(i - 1)*(17*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3203755?\nAnswer: 5, 47, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*x - n, -4 = -2*x - 36*n + 34*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152331869 to the nearest integer?\nAnswer: 12342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/7*3 - (-27258)\/539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 5\/93?\nAnswer: 5\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2047 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l**3 - 6*l**2 + 14*l**2 + 6*l**2 - 2*l**3 - 2*l + 2*l + (0 - 2 + 0)*(4*l**3 - 6*l**3 + l**3) + 2*l + 2*l**3 - 2*l.\nAnswer: 9*l**3 + 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13146, -34211, -69320, -118473, -181670?\n\"Answer: -7022*d**2 + d - 6125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.056359432 + 3180.\nAnswer: 3180.056359432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-163890)\/(-225))\/(6\/10) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.265, -3\/4, 18, 0, 134, -0.1?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9016.6 rounded to the nearest ten?\nAnswer: -9020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9\/(z*z**(-9)\/z))**(-32) assuming z is positive.\nAnswer: z**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1711842 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 - 87 - 159*p - 22*p - 105 - 47*p.\nAnswer: -228*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 + (-4 - 0\/(-1)) and 0 - (-9*1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 13, 246, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/4*(7 + 0). Suppose -5*n - 4*z + 123 - 27 = 0, 0 = -2*z - 2. Suppose n = p*u - 3*u. Solve -4*t + u*l = 30, 0 = 4*l - 4 - 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgg when three letters picked without replacement from {d: 4, t: 6, g: 3, l: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0*b**2 - 1\/63*b**7 - 1\/3*b**4 + b**3 + 12*b + 2\/15*b**6 - 4\/15*b**5 - 4. Solve q(t) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 912886350 by -6.\nAnswer: -152147725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -56*t - 147. Let s be p(5). Let v = -232 - s. List the prime factors of v.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 2) + 450 + 3. What is the highest common factor of m and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/4 + 101*j\/4 - 585 = 0. Calculate j.\nAnswer: 36, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.12931?\nAnswer: 0.38793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6407\/(-4386) - (-6)\/4. Let g = -113 + 113. Is g > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*j + 39*j + 91*j)*(1 - 1 + 4*j) + 10 - 9 + 24*j - 2*j**2 + 0*j to the form u*j**2 + c + q*j and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4800)*-2 + sqrt(4800) + (sqrt(363) + sqrt(363) + -1)**2*6.\nAnswer: -304*sqrt(3) + 8718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-3)*20\/4*3. Let u = q - -23. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 - 10*q**3 + 32 + 5 + 4*q wrt q.\nAnswer: -30*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 + 1285. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/13 (c) -0.5 (d) 137\/5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -675466955.6 rounded to the nearest 100000?\nAnswer: -675500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3832.2 - 3832. Which is the closest to 4? (a) -2 (b) 1\/7 (c) q (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 610202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) + (-805)\/(-3). Suppose -4*h + 283 - 20 = 5*y, o = 4*h + 4*y. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1159, -1688, -2215, -2740, -3263, -3784, -4303?\n\"Answer: n**2 - 532*n - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 9:02 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.36 + 0.97. Let b = k - 0.01. Let a = -6.6 + b. Which is smaller: a or -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (2631428\/(-258))\/(2\/(-21)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**4\/12 - 2*y**3\/3 + 3*y**2\/2 - 10*y + 2. Let b be 8\/(-6)*(-6)\/4. Let a be d(b). Let f(k) = -3*k - 1. Give f(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 10 = -22*q - 4*i, -q + 4*i = -25. Solve -q*w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.38 + -23.38. Let f = j + 22.9. What is the closest to f in 1, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/144*(-270)\/10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, n: 11, e: 1}. What is prob of sequence xnex?\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*q + 24 = 0. Let b = q + 4. Suppose 6*a - 9*a + b = 0. Calculate the lowest common multiple of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1312.886 - 3490.\nAnswer: -2177.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32081 is divided by 235?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 6*b**2 + 6*b + 4. Let t = 632 + -628. Let p be n(t). Put -3, p, -1, 8 in ascending order.\nAnswer: p, -3, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 - -154. Let l be 4*(o - (-9 + 4))*1. What is the greatest common factor of l and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 967807?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 152026 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/20 + 5*a**4\/6 + 7*a**3\/6 + 11*a**2 - 32*a. What are the prime factors of u(10)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (4 - 2) + -2. Suppose -4 = -7*u + 6*u. Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/3)*t**(-6\/7))\/(t**(8\/7)*t**(-3\/7)\/t))**21 assuming t is positive.\nAnswer: t**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 13*p**2 + 2*p - 49. Let s be y(-20). Let w = 4696 - s. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-3933) - 1384\/(-47748)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29862 and 112206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 122.472 and 2758?\nAnswer: 337777.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f + 6, -t = 4*f - 34. Let j = t - 28. Suppose -2*n + j = 2*o, -1 = n + 3*o - 4*o. Calculate the remainder when 31 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2007*u + 10. Let i(z) = 626*z + 3. Let r(k) = 16*i(k) - 5*n(k). Let y be 2\/(-1 + 2) - 0. Give r(y).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 75989*t - 3039540. Give r(40).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z - 23. Let g be q(-5). Suppose -15 = 5*k - 5*s, 4*s - 24 = -g*k - 0. Suppose 0 = k*y - 4*y + 10. Solve -3*m = y*u - 20, u + 2*m = -u + 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/19 - 2\/19*m**2 + 12\/19*m.\nAnswer: -2*(m - 7)*(m + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 7*h + 3*h - 3*h - 31 to z + c*h and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -1.9 (c) 31\/80948\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -35. Let b be 623\/35 + 2\/a. Let p be (-2)\/(b\/(-65)) - (-2)\/(-9). Solve -3*h = -8 - p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1620431 and 0.21159.\nAnswer: 1620431.21159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 3 - -1)*5\/(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3*g + 33*d**2*g - 208*g + 2 with respect to d.\nAnswer: 3*d**2*g + 66*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1\/5 (b) 3\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Let m(f) = -2*f**2 + 12*f - 13. Let n be m(4). Does 8 divide 40 - (0\/s)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/3 in -3, 4, 10, 41, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5765278.\nAnswer: 2, 17, 169567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 43 = -7*t, -3*t = z + 42 - 53 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.3266*-5.1.\nAnswer: 27.16566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2889207502.61653 and -2.\nAnswer: -2889207504.61653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -5. Suppose 5*l - 5 - i = 0. Calculate the highest common divisor of 10 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 26. Suppose s + 4*s - 182 = x*v, 0 = s + 2*v - 42. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23783359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 247213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 104843866 - 0.23566.\nAnswer: 104843865.76434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 247453 a multiple of 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005951 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2039064124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - j - 4*j + (6 + 0 - 1)*(-4*j + 2*j + 0*j) - 12*j + j + j.\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2. Let k(j) be the second derivative of 0 - j + 0*j**2 - 1\/6*j**3. Calculate k(o(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/221*(-2)\/(-4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1536 and 1280.\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -1\/8*t**4 + 2 + 0*t**2 + 1\/20*t**5 + 0*t**3 + 0*t. Find s, given that p(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f**3 - 18*f**2 + 16*f + 5. Let p(q) = 7*q**3 - 12*q**2 + 11*q + 3. Let z(a) = 5*n(a) - 7*p(a). Give z(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 2*s**2 + 4*s + 2. Let x(w) = -7*w - 3 - 12*w**3 + w**3 + 10*w**3 - 3*w**2. What is 7*v(d) + 4*x(d)?\nAnswer: 3*d**3 + 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, h: 8}. Give prob of picking 3 v.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 - (-53 - -59 - (-9 + 5 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 3*j**2 - 11*j - 9. What are the prime factors of o(6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 5*o + 3*o)*((-o**3 - 4*o**3 + 6*o**3)*(-2*o - 2*o - 2*o) - 2*o**4 + 3*o**4 - 2*o**4).\nAnswer: -14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*n**2 - 2 + (n - 2 + 2)*(-2*n + 0 + 0) - 6*n**2 + n**2 + 3*n**2)*(-4*n**2 + 2*n**2 + 3*n**2 + (n + n + 0*n)*(2*n - 2*n + 3*n)).\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 32*y - 3\/2*y**2 = 0. Calculate y.\nAnswer: -2\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 36*j**4 - j**2 + 7*j - 7. Let q(p) = -12*p**4 - 2*p + 2. Let y(w) = 14*q(w) + 4*z(w). What is the third derivative of y(b) wrt b?\nAnswer: -576*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94\/(-18) - -5)\/((-37)\/333).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 11229138?\nAnswer: 11229138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*m**2 - 126*m**2 - 6*m**2 + 31*m**3 - 57*m**3 + 53*m**2 + 33*m**2 + 23*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1729.5 + 1734. Which is smaller: -19 or d?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 1. Suppose t*f + 400 = 12*f. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -2547, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {j: 4, w: 1, r: 1, a: 1, b: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*f + 20 = 0, 4*f = -2*q + 3*f - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-2)*(-3 + 2). Suppose g = -2*h - h. Let j = 0.303 + 0.697. Which is the nearest to -0.1? (a) h (b) 2\/11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -241131 or -241147?\nAnswer: -241147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2. Let m(b) = 15*b - 1. Let v(g) = 3*g. Let i(l) = -2*m(l) + 11*v(l). Let c(s) = -7*s - 5. Let t(h) = -2*c(h) - 5*i(h). Determine k(t(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 26*v**2 + 0*v**3 - 16*v - 71*v**2 + 37*v**2.\nAnswer: -v*(v + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 674371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 62 (b) 0 (c) 2 (d) -325\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*a**3 + 42*a**2 + 636*a + 792.\nAnswer: -3*(a + 2)**2*(13*a - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -17. Let q be (g\/30)\/(3\/5). Which is the closest to q? (a) -4\/3 (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7941373745?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/3 - (-5)\/(30\/24). Let f be (1 - t\/(-3))*45\/(-30). What is the nearest to 0.1 in 6, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**2*u**2*x**2 + s**2*x**2 + 4*s**2 + 498664*s*u**2*x + 7*s*u*x - 17*u + 5*x**2 + 2*x wrt u.\nAnswer: -2*s**2*x**2 + 997328*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, -2363, -9568, -23993, -48044, -84127, -134648?\nAnswer: -202013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 90.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*k + 10, -2*k - 2 = -0*k + s. Solve 0 = o + 4 - k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65426*b**2 + 5*b + 65422*b**2 + 10 - 130848*b**2 + 30*b**3 in the form y*b**2 + q + c*b**3 + w*b and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*o - a - 21, 0 = 2*o + 5*a - 36. What is the remainder when (-15)\/(-6)*(0 + 12) is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 - 125. Let m be ((-8)\/6)\/2*3. Is ((-47)\/m)\/(c\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -447 - -445. What are the prime factors of (-30140)\/(-308) - -1*t\/(-14)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -7*c**2 + c + 7. Let s(h) = -h. Let j(p) = -d(p) - 2*s(p). Is j(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1855\/6 - (-100)\/120. Let b = 0 + 62. What is the greatest common divisor of b and c?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 11*j - 17. Let t be 12\/16 + 124\/(-16). Let s be l(t). Let a = s + -9. Solve h + 0*g - 2 = -g, -a*h + 5*g + 18 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119 - 110.94. Let f = -8 + p. Let u = -0.94 - f. Which is the nearest to u? (a) -1\/4 (b) 2\/7 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + h**2 + 2*h + 2. Let d be l(0). Let u(t) = -d*t - 11 - 5*t + 8*t - 5*t. Let i(m) = m**2. What is i(u(x))?\nAnswer: 16*x**2 + 88*x + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 31 (b) 0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/17 + 8556*c\/17 + 42830\/17.\nAnswer: -2*(c - 4283)*(c + 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llllaalllllll?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3184442.4576 and -1?\nAnswer: 3184441.4576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -14 + 6*i - i - 16. Let x be o(12). What is the first derivative of 13*c - 21 + x + 5 wrt c?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 43 + ((10 - 14) + 29 - 5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13406003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-23 - 11) - -8 - 2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 30*r**2. Let c(g) = -8*g**2. Calculate q(c(s)).\nAnswer: 1920*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28408 is divided by 3121.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11313306 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 113374695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-72)\/(-34) + (-24)\/204. Find the second derivative of -21*h**2 + 22*h**m + 10*h + 17*h**2 wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 2*u + 4. Suppose -3*l = 5*t - 25, 3*l = -0*t + t - 23. Let m = -3 + t. Suppose 2*x - 6 = d, -2*d - m - 2 = -3*x. Give w(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 10*j**3\/19 - 13716*j**2\/19 + 331262*j\/19 + 134700\/19 = 0.\nAnswer: -2\/5, 25, 1347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b**2 + 67 - 2*b**2 - 67 to the form l*b + u + w*b**2 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3, -0.038?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwmdaidmama. Give prob of picking 2 m and 2 a.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3686 divide 63963158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*v - 3*g + g, -3*v = 3*g + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-1*3))\/(1888\/(-9440)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 2574980148109.\nAnswer: 2574980148109.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + -12?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32 or -33?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.1. Let v = 10 - 5. Let m = 37\/4 - 17\/2. What is the third smallest value in q, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -13*y**3 + 4*y**2 - 2*y - 4. Let a be d(-3). Suppose 0*w - w = -a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -296 - -199. What is the remainder when -1 - i - -7*(-9)\/21 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 e, and 1 u when four letters picked without replacement from pffdpefdpudofoefpef.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 840, 196, -456, -1116, -1784, -2460?\n\"Answer: -4*m**2 - 632*m + 1476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + 72*y**2 - 85*y**2 - 12*y + 5*y**2 + 23*y.\nAnswer: -8*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-2*-5 - (sqrt(143) - (sqrt(143)*-2 - sqrt(143)))*1)\/(-5*sqrt(99) + sqrt(121)\/(sqrt(22)\/sqrt(2))) + -3)*5.\nAnswer: -15 - 15*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.86 in 483, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c + 6. Suppose -x + 5*x - c*f - 64 = 0, -67 = -5*x - 4*f. Let p(i) = i. Let o be p(2). Solve 0*v - x = -5*v, -7 = -o*m - v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*c + 5. Suppose 3*v = 5*v - c. Solve -5*d + 2*k - v = -16, 2*k + 2 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10956 and 2324.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Let z be (3 - 78\/27)\/((-25)\/(-150)). Is z < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -194286702.1 to the nearest ten thousand.\nAnswer: -194290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -72414 * 39\nAnswer: -2824146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 333522529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 1 = 25 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 2*x + 1. Let q be z(-2). What is the units digit of ((-28)\/(-6))\/(q\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uizz when four letters picked without replacement from fuzuuzifuuuf?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/12)\/1*2*9. Suppose -m*p + 138 = -6*p. Calculate the remainder when 87 is divided by p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*t - 48. Let m = t + -18. Suppose m*g - 3*g = 1620000. Round g to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 0*k - 6. Let f(g) = g + 1. Let n be f(k). Suppose n*v - 31 = 19. Solve -v = -3*p - 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 3*g - 1202 + 2526 - 1266 + 2*g.\nAnswer: 2*g + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*w)*((-2*w**2 - 8*w**3 + 2*w**2)*(5*w + 2*w - w) - w**4 - 4*w**4 + 4*w**4).\nAnswer: 147*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34935 + 34961 = -x - 5*n, 3*x + 3*n - 2 = -20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5761673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/32*4)\/((-880)\/(-128)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 814, 1630, 2446, 3262, 4078?\n\"Answer: 816*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -8. Let j be (2\/s)\/((-4)\/8). What are the prime factors of j + (3 - 1) - -52?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1010*u**3 - 2*u**2\/19.\nAnswer: 2*u**2*(9595*u - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 x, and 2 p when four letters picked without replacement from {x: 8, m: 5, p: 2, h: 1, k: 1}?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from vghwj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**5\/40 - 3*a**4\/16 - 11*a**3\/24 - 3*a**2\/8 - 1069. Find t, given that x(t) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -1, 17, 5 in decreasing order.\nAnswer: 17, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 5. Let z = -6.8 - h. Is -0.1 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 12*f = -96, 24 = 238684*f - 238687*f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 17*x + 14. Let j be c(8). Suppose j + 114 = -4*q. Let d be (-222)\/(-11) - (-12)\/q. Calculate the highest common divisor of 220 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, u: 1, b: 1, y: 7, m: 4}. Give prob of picking 1 e and 2 y.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 11*o = 82*o - 304732. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2*y)\/y)**6 assuming y is positive.\nAnswer: y**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*f + 179 - 2 - 227*f as n*f + r and give r.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010221211021 (base 3) to base 5.\nAnswer: -412002243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 439685, 439671, 439657, 439643?\nAnswer: 439629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 + 8*r + r**2 - 3*r - r**2 as n*r + i*r**2 + z + m*r**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-26080)\/25)\/(64\/(-160))?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 + 8*v**4 - 6*v**2 - 9*v**4 - 4*v**4 + 0*v**4 + v**4 + (9 - 9 + 10*v**2)*(0*v**2 + 2*v**2 - v**2).\nAnswer: 6*v**4 - 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Let m = -203.784 - -200.784. Which is the closest to -2? (a) 3 (b) m (c) 7 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40401454 + -2451?\nAnswer: -40404345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 30, 1\/2038, 5?\nAnswer: 1\/2038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/6*(-2)\/3. Suppose 1 = -j + p*j. What is the smallest common multiple of 18 and j*-9*28\/(-42)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 286*q**4 - 46462*q**3 - 124*q**2 - 361674*q - 1 wrt q?\nAnswer: 6864*q - 278772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3842*f**4\/15 - 134474*f**3\/15 - 184276*f**2\/15 + 9589696*f\/5 - 9984\/5 = 0. What is f?\nAnswer: -13, 2\/1921, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -12\/1621?\nAnswer: -12\/1621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 918 and 4556?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + ((-3)\/(-6) - (-5 + 6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1136*h + 2254*h - 1110*h + 6. Give m(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -90462, -90469, -90480, -90495, -90514, -90537, -90564?\n\"Answer: -2*k**2 - k - 90459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90450 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108053\/6 + -18009. Let y = -0.4 + 0.2. Let k = 0 + y. Which is the biggest value? (a) -5 (b) k (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 3. Let p = 42553 + -42566. Put c, 2, p in decreasing order.\nAnswer: 2, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2496 is divided by 813.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d**3 - 6*d**3 + 5*d**3 - 19*d**2 + 18*d**4 - 7*d**3 in the form j + r*d**3 + y*d**2 + z*d**4 + v*d and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 1. Calculate z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/36*5085\/(-565).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 29\nAnswer: 16\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.6 + -48. Sort 0.4, 1\/2, d, -2\/13 in increasing order.\nAnswer: d, -2\/13, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1088) + -4)*-1.\nAnswer: -40*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**2. Let q(p) = 41*p + 5. Suppose -t - t + 14 = 4*u, 0 = -5*u + 5*t + 40. Let h(v) = 104*v + 13. Let j(z) = u*h(z) - 13*q(z). Determine o(j(s)).\nAnswer: 845*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**5\/60 + q**4\/2 - 2*q**3\/3 + 3*q**2. What is the units digit of b(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2799338 to the nearest integer?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -52*z + 55*z. Solve z*v + 2 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 + 648 = -122*l - 1751 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 16*n**2 + 92*n - 692. Give l(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**(-3\/14)\/(a**(3\/7)*a*a*a**(1\/11)\/a) assuming a is positive.\nAnswer: a**(-150\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 156952 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8201 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25035.3*1.14.\nAnswer: -28540.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 1. Let g(x) = 0*x + 85 + 84 + 3*x - 158. Determine g(w) + 4*n(w).\nAnswer: -w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20718, -36298, -51872, -67440, -83002, -98558?\n\"Answer: 3*o**2 - 15589*o - 5132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10 - 23 - 9*x**4 + 43*x**4 with respect to x.\nAnswer: 136*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232003489?\nAnswer: 131, 683, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 y when three letters picked without replacement from {z: 3, q: 2, s: 1, y: 8, g: 1, o: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n - 9. Put 5, -1, n in increasing order.\nAnswer: n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -258731 or -253015?\nAnswer: -258731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 3917568\nAnswer: 391756.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 9 - 5*j + 5*j.\nAnswer: -j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*w. Suppose 0 = -f - 2 + 7. Suppose 0 = -f*x + 2*x. Solve -2*l + w*l + 6 = x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**5 - 38205*f**4 - 191165*f**3 + 114625*f**2 + 497040*f - 382300 = 0. Calculate f.\nAnswer: -5, -2, 1, 7646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23138065 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyfyeyfyqfyy. What is prob of picking 1 q and 1 y?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/478951019 and -29\/49132.\nAnswer: 1915804076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 + 1948.21.\nAnswer: 1958.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1690, 10, -3, 5, 2, 33 in increasing order.\nAnswer: -3, 2, 3, 5, 10, 33, 1690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74333\/13 + -413142567\/72254. What is the common denominator of 101\/28 and q?\nAnswer: 11116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - j + 183 = 0, 0 = c + 2*c - j - 132. Let d = -32 + c. Solve 4*a + 3*h + 27 = 0, -a + 2*h + d = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 579, 1704, 2829, 3954, 5079, 6204?\n\"Answer: 1125*u - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 10:32 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*v**3 + 475*v**3 + 1239*v**3 - 401*v**3.\nAnswer: 1424*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 139 times 13\nAnswer: 1807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32043\/10 + 3213. Calculate the common denominator of 133\/60 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -150 + 150 + 50*d as x*d + m and give x.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 12:34 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728703 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 771 and 7512.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4415 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48112761, 96225533, 144338305, 192451077?\nAnswer: 240563849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3)\/f)\/f)**49\/(f\/f**1)**36 assuming f is positive.\nAnswer: f**(-245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 5*f + 1201 = -7*p, f = 4*p - 1563. Let k(y) = -y**3 - 26*y**2 - 42*y - 34. Let b be k(-25). Which is smaller: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + m**3 + 0*m**2 + 1 - 15. Let z be f(0). Let d = 25 + z. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/17 + 30*d**2\/17 - 108*d\/17 = 0 for d.\nAnswer: -18, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((0 - 1) + 13 - (-30 + (69 - 4)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 11:59 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-581)\/498 - 277\/(-6). Calculate the greatest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(10*18\/(-315))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, 3\/8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 + 132*c**5 + 118*c**5 + (2*c**3 + 2*c**3 - 6*c**3)*(-4 + c**2 + 4) + 2*c**5 - 4*c**2 + 4*c**2.\nAnswer: 252*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 9:23 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 + 12 = 0, -10 = -3*o + 2*j. Let b be 0\/8 + o\/1. Let z(i) = i - 2. Is 2 a factor of z(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*y = -q - 312, -4*q = -y - 651. What is the highest common divisor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 36 + 46. Let k = t - -32. Let l = k + 84. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*l + 15 - 19 = 0, 8 = 4*i + l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2\/5 + 32824*x\/5 - 269353744\/5 = 0.\nAnswer: 16412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**4\/24 - l**3\/3 - 5*l**2. Is u(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, o: 1, p: 8, a: 6, s: 3}. Give prob of sequence soap.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40\/13 in 4\/7, 0.5, 5, -1\/3, 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233504, -467009, -700514, -934019?\nAnswer: -1167524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a05a6 (base 11) to base 10.\nAnswer: -147131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9939120969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -201*r. Let u(d) be the third derivative of d**5\/10 - 10*d**2 + 12*d. What is g(u(w))?\nAnswer: -1206*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -26*b - 42. Let q be g(0). Let v = q + 559. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22225281 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798021 = -545*d + 190064. Calculate the smallest common multiple of 407 and d.\nAnswer: 19943","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine sixths of a day in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(-s + 2*s - 2*s)*(s**2 - s**2 + 3*s**2)*(0*s**2 - s**2 + 0*s**2) + 2*s**5 + 3*s**5 - 6*s**5.\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/152 and ((-1575)\/(-72) - 6) + -5.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -121 and 7207730.\nAnswer: 7207609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 16. Let i be u(6). Suppose 4*c = 4, i = -4*x + 3*c + 1. Suppose x*v = 6*v - 588. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 90549 and -1.\nAnswer: 90548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*q**2 - 84 + 214*q**2 - 97*q**2 - 5697 to i*q + z + y*q**2 and give z.\nAnswer: -5781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5056341?\nAnswer: 3, 1685447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*j**2 - 3)*(4*j**3 - 3*j**3 + j**3) + 3*j**5 + 0*j**5 - 5*j**5 + (-3*j**3 + 3*j**3 - 3*j**5)*(-1 - 5 + 5).\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 715275738 divided by 1?\nAnswer: 715275738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9648166 rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5 = h, -h = 5*s + 8 + 7. Suppose -h*g = -8*g. Solve g = 4*f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-12)\/(-32) + 70\/72.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2808455*b**5 + 9157684*b**2 wrt b.\nAnswer: 168507300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 607 + -1078. Let d = 672 + p. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771*m - 65*m + 995*m - 385*m.\nAnswer: 1316*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**8\/168 - a**7\/35 + a**6\/30 + a**5\/15 - a**4\/4 + a**3\/3 + 3*a**2. Factor w(z).\nAnswer: 2*(z - 1)**4*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = l - 2*f, 4*f - 7*f = -5*l + 470. Let s = -817\/9 + l. Let o be 2\/5 + (-80)\/325. Which is the smallest value? (a) -4 (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7291*p - 6547*p - 1283*p + 2241*p - 2362*p)*(4*p - 4*p - 2*p).\nAnswer: 30484*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 - -147. Find the common denominator of -35\/8 and 6\/8*(-1020)\/d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uruunuuuruuuuu. Give prob of sequence uruu.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 7 - -2)*(-2 + -3). Let i be t*((-54)\/(-20) + -3)*4. Suppose 2*s + i*h - 165 = h, -2*s + 177 = h. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - 0.36. Let i = -0.1 - -3.1. Let w = i + -2.8. Put 0.1, a, w in descending order.\nAnswer: w, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/1012 and -155\/132.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 2023113000?\nAnswer: 2023113003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390810 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (26 + (0 - 1))*1 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-16\/7)\/x**(-8) assuming x is positive.\nAnswer: x**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**6\/90 - s**4\/6 + 13*s**3\/6 - 3*s**2. Let k(b) be the first derivative of o(b). Factor k(h).\nAnswer: 4*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73.1 + 54. Let n = k + 0.1. Let q = n - -18.8. What is the third biggest value in q, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/21)\/(2\/(-42)). Let o(r) = 8577*r**2 - 3*r + 8. Let j be o(w). Let q = j + -180302. Round q to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1 - -2) - (-456)\/12. Let f(v) be the first derivative of 11*v**2 - v**2 + b - v**3 + 0*v**3. Find the second derivative of f(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.034, -1.478, 3, 2\/3?\nAnswer: -1.478","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 98*a**2 + 2465*a + 18496.\nAnswer: (a + 17)**2*(a + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189030.\nAnswer: 2, 3, 5, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-228)\/24 + 5)\/(105\/50).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**2. Let p(a) = 1890*a**2 - 1881*a**2 + 1 - 1. Calculate -5*p(f) + 6*r(f).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -11. Let m be -5 - t*(-12)\/(-8). Does 23 divide 72 + m*(-2 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**4 + 12*o**3 + 28*o**2 - 2. Let z(s) = 5*s**4 + 11*s**3 + 30*s**2 - 3. Let r(j) = -3*i(j) + 2*z(j). Factor r(v).\nAnswer: -2*v**2*(v + 3)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 - 136. Suppose 0 = -g*f + 4*i + 8, 4*f - 5*i = -0*i + 10. Sort f, -1, -2, 2 in descending order.\nAnswer: 2, f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/u**(-7))\/u)**(-2\/23) assuming u is positive.\nAnswer: u**(-16\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3 - (-23 - (-3 + 2)) - 7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -2. Let s = -0.21 - -3.01. Let z = s + -3. What is the third biggest value in -2, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 8*h**2 + 9*h. Let r be g(-9). Let i = 1 + r. Calculate the remainder when (i\/2)\/((-4)\/(-296)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -8. What is the remainder when 5 + ((-7)\/7 - -113) is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {m: 2, u: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 290 - -0.259.\nAnswer: 290.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 90. Let x = y + 47.5. Let l = -11.443 + x. Round l to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256157194 to the power of 1\/2, to the nearest integer?\nAnswer: 16005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, q: 10}. What is prob of picking 2 q and 1 c?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 425626.\nAnswer: 17\/425626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22095 is divided by 10931.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 286, 516, 812, 1174?\nAnswer: 1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 483 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2833.69691 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -239, 193 in decreasing order.\nAnswer: 193, -1\/5, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 10*p**2 + 3. What is the remainder when (14\/(-35))\/((-2)\/50) is divided by m(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 3:01 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 s when three letters picked without replacement from qlyllyslqyw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 130 - -1?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = -3*w + 3*s, 0 = -4*w + s + 6. Let m(q) = -2*q**2 - 3*q**2 + 4*q**w. Let l(o) = o. What is m(l(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6897450 and 69720?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 1. Suppose 3*n - 112 = -0*w + c*w, -5*n + 197 = 2*w. What is the remainder when n is divided by (-1)\/(-1) + 9 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/9, -0.01, 1.6, -5\/2, -0.1, 0.34?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6231 and -24.\nAnswer: 149544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10212322 (base 6) to base 11.\nAnswer: -193438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 978 = 23*n + 1194 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/6*(1 - 1). Let v(u) = -u - 5. Let x be v(-9). Let j be 1\/((-6)\/x*-3). Which is the nearest to n? (a) j (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146514?\nAnswer: 2, 3, 24419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/280 and 173\/227472.\nAnswer: 1137360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 1\/3, 2\/3, -25027 in descending order.\nAnswer: 3, 2\/3, 1\/3, 0, -25027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aan when three letters picked without replacement from {a: 2, n: 1, d: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1c8278 (base 16) to base 13\nAnswer: -505589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*y = 130, -2*y - 2*y = -2*t + 56. Let j be 2 + 5*(-52)\/(-10). Let k = j - t. Solve 0*v - 2*v + 2 = 2*h, -3*v = -k*h + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17995, 4, 4\/9, 0.2, 5, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 501082\/9 + -55443. Let f = -235 + o. Is -3 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 - 71. What is the remainder when 209 is divided by b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21021040 + -10?\nAnswer: 21021030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2\/15 - 108016*d\/15 + 1458432032\/15 = 0.\nAnswer: 27004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 27 = -3*s, 0*o + 13 = o - 2*s. Suppose h - 16 = o*h. Let r be (-3)\/9 - h\/3. Put r, 4, 0 in decreasing order.\nAnswer: 4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/125 of a hour?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**2 + 2. Suppose y = 2*j - 9, -2*j - 5*y - 21 = -0*y. Let a(u) = -u**j + 47*u - 47*u. Determine l(a(w)).\nAnswer: -5*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + 8 + -7 + -1. Suppose 2*q + q = -g*q. Solve 25 = -q*i - 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -339 by -11.\nAnswer: 339\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 242 - 240.91. Let i = -0.09 + s. Suppose -4*y + 20 = -4*d - y, 3*y - 12 = 0. Which is the closest to i? (a) d (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 831482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2132048034069 - -70715047.7847651965931. Let d = a - 70715349. Let i = d + 300. What is i rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -191 + 1031. Let u = p + 64. Solve n = -1 - u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 2*k**2 - k - 3. Let i be u(-2). Is ((-1)\/(-2))\/((1\/i)\/(-194)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 101 + -31642?\nAnswer: -31541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15c3a28 (base 13) to base 12\nAnswer: -2432955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17258 or 17647?\nAnswer: 17647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -836619, -836538, -836453, -836364?\n\"Answer: 2*j**2 + 75*j - 836696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/(-12)*(267\/(-4539))\/((-3)\/204)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39600*h**5 + 28*h**2 + 12273291*h - 2 wrt h.\nAnswer: -792000*h**3 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*f - 99 - 45 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/10 + 2\/(-10). Suppose -5*v - 20 = 5*k, 3*v + v + k + 16 = y. Let r(c) = -c**3 - 4*c**2 - 3*c - 1. Calculate r(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 215*2\/18 - (-7)\/63 and 57.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -2)**2 + 4 + sqrt(19)*-2.\nAnswer: -30*sqrt(19) + 939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, -15, -22?\n\"Answer: -7*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b - 7. Let n be g(-6). Suppose 4*p = 3*j - p + 84, 5*j + n*p + 100 = 0. Let m = j + 32. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/7 - 37432*k + 44310617\/7.\nAnswer: -(k - 169)*(k + 262193)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3591\/2 - -1795. What is the third smallest value in -1\/20, -0.1, m, 4?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27093 and 9.1?\nAnswer: 27083.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q - 3. Suppose 28*g - 51 = 229. Let z(r) = -3*r + 1. What is g*z(u) + 4*p(u)?\nAnswer: -10*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - -3.07. Let t = f + -7. Which is the second smallest value? (a) 1\/2 (b) t (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - w + 1. Let j(l) = 197*l**2 + 3*l - 5. Calculate -j(a) - 4*v(a).\nAnswer: -201*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 10, 4*w + 302 = c + 2*c. Sort 5, -2, c in ascending order.\nAnswer: -2, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 3\/8, -1\/6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-3 - 116) - (1 - (9 + -4))) + -13.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*j - 28 = 0, a + 4*j - 1 = -5. Suppose x + 2 = 2*i, 3*x = -11*i + 6*i + 27. Solve 4*l = i*s - 15, l + 3*s - a = 7 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002021236 rounded to six decimal places?\nAnswer: 0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9, -1\/6162, -1, 2\/3?\nAnswer: -1\/6162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.1 - 535785?\nAnswer: -535766.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 2\/123 (c) 2\/25 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 0*b**2 + 0*b**2)*(b - 2*b + 0*b) - 19*b + 1454*b**3 + 1564*b**3 - 14*b + 33*b.\nAnswer: 3016*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11001 (base 2) to base 14\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-16)\/7 + (-44)\/(-154). Is -52\/15 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z + 117. Determine q(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 226 = -56. Let k be (76\/(-20))\/((-1)\/5). Let j = l - k. Calculate the remainder when 59 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a + 6. Let l be m(6). Suppose 3*i - p = i + 44, l = 3*i - 2*p. Calculate the least common multiple of i and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 432.9 - 433. Let c be ((-3)\/2)\/(9\/(-24)). Suppose -c*p - 27 = 17. Sort p, j, -5 in increasing order.\nAnswer: p, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-544)\/(-3808))\/((-715)\/91)\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 6*x + 4. Let s be (-36)\/(-2) - (-3 - -5). Let h = s + -10. Is j(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -875\/3, 2, -2\/15, -2\/11, -0.11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-20) + (-2)\/(-8). Let n = -0.0485 - -4.1845. Let p = n - 0.136. Which is the third biggest value? (a) -0.5 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -2*z + 5*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -388 + 1686. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 9 - (-2 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96052 and 703?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s**(-1)*s))\/s))**7)**(-1\/11)*((s\/s**2)**(6\/25))**(-40) assuming s is positive.\nAnswer: s**(493\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -642, -699, -750, -795, -834, -867?\n\"Answer: 3*g**2 - 66*g - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o - 4*q = -32, 0 = -2*o - q + 29. Suppose -o = -3*m - m. Let u be 3*m\/27*6. Solve z - 16 = -4*s, -11 + 3 = -u*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 17 = 28*c. Let d be ((-46)\/(-6))\/c*(61 + -100). Calculate the highest common divisor of d and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/6*(-7*2 + 70720\/5120)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 392*f**2 - 4165*f + 58070. Calculate o(402).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/5 + 144*u**3\/5 - 5038*u**2\/5 - 10512*u\/5 - 5329\/5.\nAnswer: -(u - 73)**2*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 62*d**2 + 3*d + 2. Let y(j) = 177*j**2 + 9*j + 5. Calculate -17*k(c) + 6*y(c).\nAnswer: 8*c**2 + 3*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2055 divided by -10\nAnswer: -411\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-18672)\/984)*-2?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13248 or -2424416\/183?\nAnswer: -13248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 5*s**2 + 5*s - 4. Let r be q(-5). Let b = 6 + -3. What is the lowest common multiple of (r\/30)\/(6\/15) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**8)**(-7\/6)*(s\/s**(-8))**(1\/5))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 7. Suppose 2*h - 53 + 13 = 0. What is the remainder when (6\/(-4))\/(t\/h) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -2057, -7045, -16795, -32903, -56965, -90577?\nAnswer: -135335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 254822 and 5047.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 476038039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -674.08 + 674. What is the closest to l in 2\/11, -4, -2\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*10\/75*-1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 0*c**2 + 0*c + 0 + 1\/7*c**4 - 1\/7*c**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1366210 and -2\/136621.\nAnswer: 1366210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 113975*t - 6952517. Determine b(61).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 311.\nAnswer: 7\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 335*u - 8705. Let i be l(26). Sort 3, -1, -338, i, 1 in increasing order.\nAnswer: -338, -1, 1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 2 - 1)*(1 + -2). Let j(t) be the third derivative of -3*t**5\/20 - t**3\/6 + t**2. Determine j(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65*p**4 + 476.\nAnswer: 260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 times -1026\nAnswer: 1949.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 20018 = -49460. Let w = 206147\/21 - k. Find the common denominator of 31\/27 and w.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70262?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -776806 divided by 776806\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 33*p + 234. Let j be x(6). Suppose 2 = 2*c - 4*c. Sort -9, j, c.\nAnswer: -9, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(4\/9)*d*d**(-4\/9)*d*d**(7\/3)\/d**19 assuming d is positive.\nAnswer: d**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3002 - -105354?\nAnswer: 102352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3026*w**2 + 585*w?\nAnswer: -6052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 4:48 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 7*x. Let w(o) = -2*o + 13. Let d be w(9). Let u be 1 - (-5)\/(d\/4). Let z = 7 + u. Determine c(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 - k**4 + 14*k**4 + (k**3 - 2*k**3 + 3*k**3)*(k + 0*k - 2*k) + 255*k**3 - 258*k**3 + 1 - 4*k**4 + 0.\nAnswer: 5*k**4 - 3*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 141*h**2 - 4459*h - 13037. Calculate d(168).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -12.7, 4, 263, 5?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 + 41 = -3*n, 3*y - 2*n - 68 = 0. Suppose 3*b + 12 = 3*s, -4*b + 4 = -5*s + y. Let j(k) = 49*k - 37. Is j(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 7. What is u(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*j**4 + 67847*j**3 + 15199738*j**2?\nAnswer: 2424*j + 407082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rykk when four letters picked without replacement from {t: 3, y: 3, k: 2, r: 1, h: 1, v: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 42. Let w be 3 + 2\/(-1)*j. Suppose w - 171 = -2*c + 2*x, 3*c - x - 217 = 0. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 5:49 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(847)*-2 + 4*(sqrt(847) + -1) + (4*(sqrt(847) + -1 + sqrt(847)) - -1*sqrt(847)*1)))**2.\nAnswer: -66000*sqrt(7) + 4765975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10835120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 57\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33396313 a multiple of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 1. Let v(t) = 86*t**2 - 128*t - 3. Let s(z) = 3*c(z) - v(z). Find the second derivative of s(l) wrt l.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1861 - 185. Suppose 0 = 2*d + 2*d - i. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2255*w = -2248*w - 37, -4*w = -20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - 32\/2) + 10. Solve u + b = 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 2. Let r be f(-2). What is the second derivative of 3*v**3 + v**r + 5*v - 3*v - 3*v**3 wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2831403.\nAnswer: 2\/2831403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.556 decades in centuries?\nAnswer: 48.2556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 0*n - 37*n**2 + 38*n**2 + 0*n. Let o(j) = 10*j**2. Calculate o(x(l)).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-90357)\/18 - 6\/36. What is the units digit of k\/(-24)*8\/(-10)*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -1)\/(16\/32). Suppose -2*j + l = -106. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189040312 a multiple of 1276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 31\/3 (c) -3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**4\/6 + 4*s**2. Let m(h) = 4*h**2. Calculate x(m(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840348 a multiple of 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, 5, 64, 139, 224, 313, 400?\n\"Answer: -s**3 + 17*s**2 - 7*s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**3 - 2*w**2 + 2*w - 1. Let f be g(1). Let m be -1 - (0 + 1)*f. Suppose -m*i = -0*p + 2*p + 23, 0 = -5*p - 3*i - 10. Solve 4*o + 3 = -p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2646 is divided by 43.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -22. Suppose 0 = 3*r + 4*h + 10, 3*r + h + 14 = -x*h. Solve 2*q - 16 = 4*c, -r*q + 4*c = c - 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100011011100110101 (base 2) in base 8?\nAnswer: -5433465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + sqrt(13) + 1 + sqrt(13) - (sqrt(325) + 1)) + sqrt(65)\/(sqrt(45)\/(sqrt(54)\/sqrt(6))) + -4 + 3 + 5.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 10*t**4 + 26*t**2 + 110429*t**3 + t**4 - 110427*t**3 as a*t**4 + w*t**2 + p*t + j + n*t**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(700)*2)**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -117165, -233155, -349145?\n\"Answer: -115990*s - 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-27 + 0) - (-5965 - -5907)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from vnff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3 (b) 25 (c) 0 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -7298?\nAnswer: 80278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 308 - 296, 2*v = -4*p - 30 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-20)*(6\/(-1) - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2dd5 + 2b82?\nAnswer: 5b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1780337*a**4 + 2260215 wrt a?\nAnswer: 7121348*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.639 or -90?\nAnswer: 1.639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**4\/4 - 5001031*h**3\/2 - 40008259*h**2\/4 - 12502582*h - 5001033 = 0.\nAnswer: -2, -1, 10002066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-70))\/((49\/35)\/7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**2 - g + 1. Let n(m) = -8*m**2 - 15*m + 4. Let b(x) = n(x) - 5*y(x). What are the prime factors of b(5)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/24 and -23\/30770952.\nAnswer: 30770952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3*x - x - 4 = 0, 0 = -5*x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13696 (base 12) in base 16?\nAnswer: -6912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/4)\/((-17)\/75) and (118\/8)\/(9 + -4)?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 18*o**2 - 89*o - 11. Let v be p(-22). Solve v*s + 12 = 7*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -5. Let k be (b\/(-3))\/(3 - 2). Suppose 0 - k*f**4 + 0*f + 1\/3*f**3 + 0*f**2 = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -16. Let x(y) = -3*y + 3. Let j be x(-1). Suppose 9*g - 7*g = j. Solve b + o*u = -10, 0 = -g*b + 3*u - u + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 62 - 47 = -0*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42209, -42203, -42197, -42191?\nAnswer: -42185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*v - v = -89*v - 6952 for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v + 6*v**3 - 7*v**3 - v + 3*v**3 in the form j*v**2 + h*v**3 + q*v + o and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from cziicziiziziiz.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 i when four letters picked without replacement from tttsuiteiiutettfi.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4726.65 - 4417. Round b to zero decimal places.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 20. Let y = 37 + b. Factor -2\/3*r + 0 + 1\/6*r**y + 1\/6*r**4 - 2\/3*r**2.\nAnswer: r*(r - 2)*(r + 1)*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41085*q**2 + 128160*q**2 + 101750*q**2 - 23244*q**2.\nAnswer: 247751*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 + 7 = 0. Let f be 10\/n - 3\/(-4). Suppose f*p + p = 3*c + 12, -5 = 4*p + 3*c. Calculate the lowest common multiple of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 28. Let m = 62.4 + -21.4. Which is the closest to -0.1? (a) -3 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((72\/140)\/(63\/(-105)))\/(2\/(-91)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -18*n**3 + 5*n**2 - n - 4. Let o be r(4). Round o to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1441 divide 3835130717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 19\/10407860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 256 = 12*c. Suppose -4*i + 35 = 3*d + i, -4*d - 3*i = -65. Let z = d - 9. What is the remainder when c is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -218*a**7\/105 + 11*a**4\/24 + a**3 - 286*a**2. Find the second derivative of c(b) wrt b.\nAnswer: -5232*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 175, -2\/7, 1, -0.112, -4 in descending order.\nAnswer: 175, 5, 1, -0.112, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (7 - 12 - (-18 - -3)) + -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from jjejjajtjpu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 3*s**2 + s + 2. Let l be z(2). Suppose -3*k = -l*k - 711. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011 - 1001110010?\nAnswer: -1000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-312)\/51 - (-2)\/17. Let f(c) = -3455*c + 12. Let m be f(j). Let h = 1942 - m. What is h rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 67*y**2 + 360*y. Let l be k(-72). Which is the closest to 1.4? (a) -0.4 (b) l (c) -4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*u + 16*u - 3*u**4 + u**3 - 2*u**3 to the form i*u + f*u**4 + r + x*u**2 + g*u**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 2375622.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 121 + 64?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.021 - -357234.165.\nAnswer: 357234.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -226 and -392.\nAnswer: 88592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:20 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378538, 378548, 378572, 378616, 378686, 378788?\nAnswer: 378928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 79652088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16601917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156.32 + -1.2. Let a = -160 - o. What is a rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -4 + sqrt(2736))*-5 + (sqrt(1216)*-4 + -2)**2.\nAnswer: 8*sqrt(19) + 19480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10907 - 7991. Does 81 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36586 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*42)\/(-78*232\/45240).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4783, -4788, -4793, -4798?\nAnswer: -4803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 201*c - 198*c - 4*x + 11, 4*x = -4*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 38. Suppose y*m - 466 = 34. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 54, 8\/9, -2\/11, -492?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 171?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -4 - (-1232)\/8. Suppose -3*u + 83 + t = 0. Let m = -39 + 55. What is the highest common factor of m and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/8)\/((-11)\/(704\/12))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l - 3*l)*((l + 0*l + 0*l)*(-2 + 1 + 3) - 5*l + 5*l + 3*l - 4 + 4 + 2*l + 2*l + 2 - 2).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 divided by -6?\nAnswer: 323\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = y, -2*y + 0*y + 2*t - 20 = 0. Let p be (-25)\/3 + (-54)\/81. Let j = y - p. What is the lowest common multiple of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -40*a**2 + 894*a + 445. Calculate n(22).\nAnswer: 753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10609, 10654, 10727, 10828, 10957?\n\"Answer: 14*t**2 + 3*t + 10592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -5*l - 40, -g - 498 + 488 = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 22. Let n(y) be the first derivative of -7\/3*y**6 - 17\/2*y**2 + 53\/5*y**5 + 2*y + 53\/3*y**z - 77\/4*y**4 + 1. Let n(u) = 0. What is u?\nAnswer: 2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ttcccnctpnpm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a hour in minutes?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 8*k + 6. Let u be b(5). Suppose 0 = -3*l + 7*l - u. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 28*n + 8. Let h(l) = -l. Let t(p) = -10*h(p) - w(p). Let o = 368 - 372. Is 8 a factor of t(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 - 0.231. Let u = i - 100.889. Let l = 100.99999949 + u. What is l rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15529, 1.5 in descending order.\nAnswer: 1.5, -2, -15529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 27, -2479, -4, -674?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 121.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 22. Let l be h(-18). Let k be ((-9)\/l)\/((-48)\/128). Suppose 396 + 150 = k*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = -35*j + 104 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/172 in -0.3, 4, -1\/2, 23?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 7. Suppose -2*q + 31 - 11 = u. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860\/81 at most as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11246522 - 513478. What is w rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*k + 22 = -46, -2*k - 8 = 0. Let a be (s\/(-4) - -37) + -1. Calculate the highest common divisor of 205 and a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -390, 17, -4, -239 in decreasing order.\nAnswer: 17, 5, -2, -4, -239, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495175.\nAnswer: 5, 29, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.5 - -9. Let z = 4.49999885 + g. What is z rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 2:16 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q + 9. Let b = -52 - -64. Let p be y(b). Let x = -70 + p. Solve -5*d - x = 3*t, 3 = -3*d - t - 2*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 8 = i. Let y be (i\/3)\/((-10)\/105). What is the highest common divisor of y and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 2*s - 4. Determine w(-7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1254*x**2 + 94*x - 5 wrt x.\nAnswer: 2508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*i - 2*i - 962 = 13*i + 124*i for i.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 13*a**2 - a + 14. Let b be y(13). Let g(f) = 9*f**3 + f**2 - 2*f + 1. Calculate g(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -1 + -1 - -3*sqrt(125)*3) + ((sqrt(90)\/(sqrt(9)*-2))\/(sqrt(72)*-2 + sqrt(72)))**2*-2.\nAnswer: -149\/72 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624*s**4\/7 + 6862*s**3\/7 - 49942*s**2\/7 - 561440*s\/7 + 1800\/7 = 0. Calculate s.\nAnswer: -10, 1\/312, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k**2\/9 + 90744176*k\/3 - 28656056\/9 = 0. What is k?\nAnswer: -7164014, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20*14\/(-980)*63\/(-12). Let -81\/2*y - 42 + g*y**2 = 0. Calculate y.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -263 - -303. Suppose -26*r + 13622 = -s*r. What is r rounded to the nearest ten?\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 5) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(-2*c + 2*c - 3*c) + (0 + 0 + 2)*(-c + 4 - 4).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**3\/3 - d**2\/2 + 5. Let h = 0 + 0. Suppose h = -4*m - 0 - 4. Give w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2826 + 31063\/11. What is the common denominator of g and -33\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21710.9268 rounded to zero dps?\nAnswer: -21711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 2*f**2 + 8*f**2)*(8 + 35 + 104).\nAnswer: 1029*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -26*((-78)\/(-42) - 2). Factor 0 + 0*l - 40\/7*l**4 - 4\/7*l**2 - d*l**3.\nAnswer: -2*l**2*(4*l + 1)*(5*l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.36*-336.\nAnswer: 456.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*t**5 - 26*t + 3 wrt t?\nAnswer: 1960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -46\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 27*i**2 - 29*i - 16. Let b be s(-28). Differentiate g**4 + b - 2*g**4 + 44 - 1 with respect to g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*y**2 + 55*y**2 - 15*y**2 - 51*y**2 + 167 wrt y.\nAnswer: -94*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*r = -310*r - 84 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7)\/(v*v**(-1\/3)*v))**(-22))**(-2\/15) assuming v is positive.\nAnswer: v**(-1276\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-412)\/(-112) - 7\/((-1 + 2)*1) and -58\/301?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -56. Let n = 5.14968227 + 4.85031731. Let p = a - n. What is p rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2*(-1)\/(-5))\/(1\/(-755))?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1056 and 455325.\nAnswer: 160274400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20377285 is divided by 2547159?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let v = -154 - -216. Suppose 0 = -2*i + 2*m + 2*m + 8, 0 = -5*i - 4*m + v. Let t(k) = -i*k**2 - 2 + 2*k**2 + 2. Determine t(b(l)).\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.53 and 0.00738?\nAnswer: -0.0334314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(12) - -3*sqrt(12)*-2) - (-3*sqrt(209)*1 + sqrt(209))\/sqrt(11) - (-6*sqrt(190)\/sqrt(5))\/(-3*sqrt(98) + sqrt(2))) + 5.\nAnswer: 5 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwexewxxwwwxewwwwew. What is prob of sequence xex?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/1150 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 431469361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -0.101 (b) 2 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8 = -5*d - 5, 5*f - 5*d - 55 = 0. Let j be (-32)\/48 + 88\/f. Let k be j\/6 - (-1)\/(-3). Put k, 9, 3\/5 in decreasing order.\nAnswer: 9, k, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**4\/4 - 4*i**3 - 7*i**2 + 18*i + 4. Let l be t(13). Suppose 0*h = -l*h + 190. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -26. Let z(o) be the third derivative of o**6\/120 - 11*o**5\/60 + o**4\/3 + o**3\/6 + 116958*o**2. Calculate z(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 + (-5)\/(-7). Suppose -u - 3*c = -0*u + 162, -329 = 2*u + c. Let s be 9\/u*16\/(-24). Which is bigger: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20399 by 6.\nAnswer: -20399\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z. Let o(s) be the third derivative of 93*s**4\/2 - 2434*s**2. Determine g(o(j)).\nAnswer: 2232*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 + -167.00318. What is s rounded to 4 dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-378)\/168*25272\/(-30618).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (16245\/(1653\/29))\/6*12\/(-10)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.28*-0.28.\nAnswer: -5.1184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 707399*w + 707396*w - 15.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7864\/72 - 4\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.003, -0.93, 11?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(5472) + sqrt(38)))\/((sqrt(162) + sqrt(162)*2 - sqrt(162)) + sqrt(2) - (sqrt(2) + (1*sqrt(2)*6 - sqrt(2)))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from giglglilliglii?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 593 = -5*p. Suppose 0 = -18*y + 16*y - 498. Let r = p + y. Round r to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60465 and 96744?\nAnswer: 483720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 + h**2 + 2*h + 2 - 5*h**2 to k*h**2 + f + r*h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 140\/3*h - 2\/3*h**2 - 2450\/3.\nAnswer: -2*(h - 35)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1595147\/1720 + -7417\/8. What is the common denominator of -22\/645 and j?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*k, 3*s + 3*k = -0*k + 3. Suppose -s*u - 48 = 77. Let b = 31 + u. What is the least common multiple of b and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 27*i**2 - 3117*i - 509. Calculate q(71).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -17\/4, 2\/13, 3 in ascending order.\nAnswer: -17\/4, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 6?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7131426 by 4278.\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9610928*x + 9610895*x = -2541 for x.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7902089 is divided by 1130?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0653 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 3. Let u be -3 - 2*(1 + -2). Let o be u + 1\/2*-2. Let x be o\/10 + 156\/(-20). Give p(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 210.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -4*k - 0*k. Let j = -102 - -102. Suppose 2*g = -j*g - u + 25, 2*g - u = 23. Calculate the lowest common multiple of k and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-24 - 17*i + 24)*((-2 - 2 + 2)*(i - 2*i + 2*i) - 6*i + 4 - 4).\nAnswer: 136*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24948*j + 25482.\nAnswer: -24948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32321 (base 4) to base 6.\nAnswer: 4225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 49 + 211 = 3*s, -274 = -3*s + 2*a. Suppose -3*c + 0 = -s. What is the remainder when c is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(4 + 45\/(-12)). Suppose u + 336 = 3*n - 2*u, a*n - 2*u = 448. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1271 a factor of 562766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 45 - 5. Find the third derivative of -23*o**4 + o - o + i*o**4 - 3*o**2 wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 6:26 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153565.\nAnswer: 5, 30713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141 is divided by 233.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/(sqrt(9)*1) - (-3 + sqrt(7) + 1)) + 1)*-5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*j**2 - 169*j**2 + 309*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3431828677 to the power of 1\/2, to the nearest integer?\nAnswer: 58582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13302?\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/21 (b) 5 (c) 0 (d) -13.93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k**2 - 814*k + 34 = 0. Calculate k.\nAnswer: -17, 1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -5*g**3\/3 + 38*g**2 - 24*g. Let m be f(-24). Suppose 4*b - m = -0*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**4 - 3*q**2 - 3*q - 3. Let n(p) = p**4 - p**2 + p + 1. Let b(u) = 3*n(u) + y(u). What is the third derivative of b(k) wrt k?\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 73, 244, 543, 982, 1573?\n\"Answer: 2*z**3 + 52*z**2 + z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2 + 5 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2 - 8, 2*l + x = 11. What are the prime factors of (1 - l)\/(1\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6594 - 5674. Calculate the least common multiple of 160 and m.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qckb when four letters picked without replacement from qrrrrrrrqrkbqqjc.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 4*x - 40 = 0. Let r(s) = s**2 - 9 + x - 2. Let p(o) = 11*o**4 + 3*o**2 - 5. Let v(i) = -p(i) + 5*r(i). What is the third derivative of v(z) wrt z?\nAnswer: -264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 94, 334, 806, 1588?\nAnswer: 2758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*a + 18*a = 34*a + 5461 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (157794\/780 + -202)\/(2\/(-20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/63*6\/4. Let z be 121 - 152 - (-150)\/5. Which is the closest to q? (a) 4\/9 (b) z (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11223 - -2?\nAnswer: 11230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3 + (2 - 2 + 1)*(14 - 9 + 13))*(-2 + 2*t + 2)*(0 + 0 + 2) + (5*t - 4*t + 0*t)*(-5 + 0 + 4) - 2*t + t + 2*t.\nAnswer: 64*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 167 + -163. Suppose 0 = 5*k - 2*g - 23, b*g - 9 + 30 = 5*k. Put -5\/4, 0.3, 4, k in decreasing order.\nAnswer: k, 4, 0.3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -5*w**3\/3 - w**2 + 21*w + 43. Find the first derivative of v(r) wrt r.\nAnswer: -10*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5973 is divided by 139.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 3. Let k(r) = 3*r**2 + 2. Let c(s) = 4*k(s) + 5*q(s). Let n(w) = 2*w. Determine c(n(f)).\nAnswer: 8*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 + 71. Sort -4, k, 4, 3.\nAnswer: -4, k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 26. What is the third smallest value in -1, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 24 and 46 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 48*q**2 + 5*q - 8. Let t be k(3). Let g = -313 + t. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.1 (c) -0.02 (d) -10.55 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 656, 506, 272, -46, -448?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7845 and -0.08.\nAnswer: 0.06276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - (sqrt(108)*-1 + sqrt(108) + sqrt(108)))*3)\/(sqrt(45)\/(sqrt(20)\/sqrt(4))))\/(sqrt(324)*-2*1 - -6*(sqrt(324)*-2 + sqrt(324)))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o + 0*o + 9 - 2*o. Let m be k(-4). Suppose 0 = -3*x - m*b + 17, -1 = -5*x - 5*b + 24. Solve -x = -3*c + 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03+26000548\nAnswer: 26000547.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 + 7*u + 7. Let l(a) = -8*a**2 - 20*a - 20. Calculate 4*l(c) + 11*w(c).\nAnswer: c**2 - 3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.05 (b) 2 (c) 2\/9 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000631775 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.22 and -0.4.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**2\/3 + 248680*t\/3 - 3482500\/3 = 0.\nAnswer: -49750, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 9*j - 6*j - 35, -3*f = -3*j + 27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00711924774 rounded to five dps?\nAnswer: 0.00712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 11*a - 10. Let b be p(10). Suppose 0 = -y - 4*y. Suppose y = 5*i - 15, b = -s - 5*i + 6 + 45. What is the highest common divisor of 54 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448864810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2989\/422 - -2325373\/324940. Find the common denominator of z and -41\/1120.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -15*t**3 + 2*t**2 + 20*t - 6. Let q(x) = 15*x**3 - x**2 - 18*x + 5. Let u(s) = -5*d(s) - 6*q(s). What is the third derivative of u(m) wrt m?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28852841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 0.379.\nAnswer: 0.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*(k*k**(-38)\/k)\/k)*k*k\/(k**(-4)\/k))**(-2\/3))**(-9\/5))**(14\/11) assuming k is positive.\nAnswer: k**(3864\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 7*l**2 - 29 + (-l**2 - 3*l**2 + 3*l**2)*(4 - 2 - 1))*(-123*l + 6674 - 6674).\nAnswer: 984*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/16 + (-2)\/8. Let j(u) = 5*u**2 - u + 1. Let y be j(m). What is the third derivative of 4*n**2 + 2*n**6 - y*n**6 + n**6 wrt n?\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -794600 - -293207209\/369. Let h = 3\/41 + f. Which is the closest to -1? (a) 5 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29087109, 58174221, 87261331, 116348439, 145435545?\n\"Answer: -y**2 + 29087115*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16969 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 3.281.\nAnswer: -0.6562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111310312 (base 6) in base 5?\nAnswer: 1004442243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 21 - 4 = 0. Let c = 7 - v. Solve -6 = -3*x + 6, 2*x = 5*z - c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*(-12)\/702*6\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9298417 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 970692 and 2426730.\nAnswer: 4853460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 22*z - 7456. Let b(d) = -18*d + 7464. What is -5*b(v) - 4*w(v)?\nAnswer: 2*v - 7496","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*j + 514810, 4*f - 664975 = -2*j + 21435. Round f to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -847*h**2 + 2534*h**2 - 842*h**2 + h - 8 - 2*h + 78*h**3 - 844*h**2 to the form k*h**3 + c*h**2 + u + q*h and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*z = 147, -5*y - 45*z = -40*z - 420. Is -16 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 - 0.021?\nAnswer: -3.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 18. Suppose -150 = -h*s + 2*s. Solve 2*v + 15 = 5*z, 5*z + v = -0*v + s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 11) + (-420)\/(-7) - -6. Which is smaller: 53 or u?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - 4. Suppose -3*w = 2*w + 15. Let f be o(w). Let z be (28\/16)\/7 + 1173\/12. Calculate the greatest common factor of z and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*s + 9, -5*s + 0*s + 18 = 2*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14616, 29289, 44014, 58797, 73644, 88561, 103554, 118629?\n\"Answer: n**3 + 20*n**2 + 14606*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22111013120 + -3?\nAnswer: -22111013123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -4 (b) -3\/10 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 654 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 11*q**2 - 8*q**2 - 3*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -748 (c) -2.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5043454589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*s - 3*f + 104 = -362*s, -3*s + 2*f = 58 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 8*i**2 + 9*i + 8. Let g be w(9). Let z be (g\/(-6) + 1)*6. What is the tens digit of 2\/z*(-5 - 26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8.47 (b) 0.2 (c) -36\/191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 4. Let j be ((-15)\/(-20))\/(3\/24). Let g be z(j). Let l = 23 + g. What is the remainder when l is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292123747 to the power of 1\/2, to the nearest integer?\nAnswer: 17092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, -175, 2, -5 in increasing order.\nAnswer: -175, -5, -4, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1504 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 0 - 3) + 4. Let y be (392\/(-609))\/(p\/(-2)). Let m = y - 6\/29. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**14)\/o*o\/((o**(-8)*o)\/o))**(1\/7) assuming o is positive.\nAnswer: o**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 272 = -227. Let k be (-3)\/9*0*-1. Suppose 0 = x + 1 - 5. Solve k = x*b - b - w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**3 - 676*f**2 + 35944*f - 589056 = 0.\nAnswer: 32, 59, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1316125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -386, -259, 12, 499, 1274, 2409, 3976, 6047?\n\"Answer: 12*k**3 + 43*k - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**4\/12 - o**2. Suppose 5*r - 14 - 91 = 0. Let x(i) = -13 + 25 - 12 - r*i. Calculate d(x(f)).\nAnswer: 42*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131599999 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a8 - 33419?\nAnswer: -33a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/3163584 and -1\/395448?\nAnswer: 3163584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 574431036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 677*s**2\/2 - 26*s - 4. Suppose 0 = 11*g + g - 60. Is t(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000919736741 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 + 12. Let a be l(-3). Let z(n) = a + 70 + 68 + 3*n - 277 + 71. What is z(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 0)\/(126\/129 - 1). Let r = n + -35. Solve -v = v - r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20, 18, 6, -22, -72, -150, -262?\n\"Answer: -n**3 + n**2 + 2*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 + -1 - (-15 + 19))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/2 (b) -264.2 (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/55)\/(-3)*(-1619)\/1619.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g. Let o(x) = -4*x**2 - 6*x + 6. Let f(b) = b**2 + b - 1. Let d(l) = 6*f(l) + o(l). Calculate d(w(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + 1*sqrt(91)*5)\/(sqrt(7) + sqrt(14)\/sqrt(32)).\nAnswer: 24*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 359946 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1076 + -277. What are the prime factors of a?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - -1.6. Let h = -2.7 + w. Which is bigger: 2\/7 or h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*r**3 + 20*r**3 - 7*r**2 - 48*r**3)*(5 - 31 - 8).\nAnswer: 34*r**3 + 238*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 481.4 * 12.\nAnswer: 5776.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/26 (b) -0.436 (c) 30\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**3 - 10*j**2 + j - 3. Let y = -31 + 62. Let u = y + 31. Calculate the remainder when u is divided by k(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 2*m**3 + 0 + 0*m**2 - 13 - 190*m + 7 + 5 as r*m**2 + y*m**3 + s*m + f and give s.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**4 + 727*b**3 + 9*b**2 - 9*b + 1249. Let f(o) = -o**4 - o**2 + o + 1. Let u(m) = -d(m) - 9*f(m). Find the first derivative of u(r) wrt r.\nAnswer: 4*r**3 - 2181*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.011 in -2\/15, 76, 15, -13?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/3*3\/(-2). Let t(s) = -s + s**2 - 4*s**2 - 4*s**u. Let h be (-14)\/28*(-2)\/(-1). Determine t(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -901, -7035, -23607, -55825, -108897, -188031, -298435?\nAnswer: -445317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 + 44\/(-24)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (57\/38)\/(9\/(-30)). Let c(b) = 6*b + 19. Calculate c(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 518.2 - 518.5. What is the second smallest value in 0.1906, -2\/11, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1175 - 37*j + 1252 - 2416. What is g(1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6398\/(-16) + 87\/(-696). Let j be (t\/2)\/((-59)\/(-223905)). What is j rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 225*i + 6653. What is the tens digit of g(-27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77814 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m**4\/7 - 1641*m**3\/7 + 41955*m**2\/7 + 3283509*m\/7 - 1099104\/7 = 0.\nAnswer: -32, 1\/3, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (-3)\/(3\/(-1)). Let v = 6 - z. Suppose -v*c = -6*c + 96. Solve 0 = a - 5*o - 15, 3*a + a - 2*o = c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n - 17 + 145 = 0. Suppose 4*v + 82 = l + v, n*v + 226 = 3*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 5. Determine j(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -17*h**3. Determine k(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -117*b**5\/20 - 859*b**2\/2 - 4*b - 47. Differentiate m(w) with respect to w.\nAnswer: -351*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2, -785, 1?\nAnswer: -785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/8 and -31\/109102338?\nAnswer: 436409352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 40*k + 890. Give m(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5495 is divided by 133.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 4, e: 1, p: 2, t: 1, a: 6}. What is prob of picking 1 c and 1 f?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 3, 4161, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, q: 8, e: 7}. What is prob of picking 3 q?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 9 + 11. Suppose -2*r - 8 = 0, r = b*c + 2*r - 441. Round c to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -5*f + 201. Let t be 12\/(-2)*(-14)\/f. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*v + 56*v + 8*v)*((-1 - 2 + 2)*(-7*v + 3*v + 0*v) + 0*v - v - v).\nAnswer: 206*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(13\/2)\/s*s**(-15)\/s)\/(s*s\/(s\/s**(-20))*s**16) assuming s is positive.\nAnswer: s**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*w + t + 2, 21 = 5*w - 3*t. Suppose -w*a + 847 = 8*a. Calculate the remainder when a is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**28*h)\/(h*h*(h*h**26)\/h) assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204 + 200. Sort r, 1, -0.2, 0.17 in decreasing order.\nAnswer: 1, 0.17, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/3)\/(3\/9). Let o be 0 + (k\/(-2) - 2). Suppose 0 = 3*x + o*v - 16, 25 = 4*x + 4*v - v. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 + 7*i - 6. Let b be f(-6). Find the second derivative of 3*q + 10*q + b*q**2 - 79*q**2 + 10*q wrt q.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 3*t**2 + 3*t - 4. Suppose 2*v + 0*g - 4 = -g, 2*v = 2*g + 10. Let l be u(v). Solve 0 = y + 4*x + 4, 3*x + l - 2 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -16. Let k = -16 - g. Let n = 5 + k. Which is the nearest to 2\/5? (a) n (b) -1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 11:15 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 370569 and 271506?\nAnswer: 27422106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - p - 2 = 2, 0 = -5*p - 10. Suppose 4*q + 5 = 2*r + 3, -4*q = 5*r - 33. Let z(a) = r*a**k + 2*a - 4*a**2 - 1 + a. What is z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -42*j**3 + 57*j**2 - 10*j. Let w(h) = 63*h**3 - 89*h**2 + 16*h. What is -8*m(f) - 5*w(f)?\nAnswer: 21*f**3 - 11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f**2 - 163*f + 943. Let j be m(6). What is the highest common factor of 779 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 + -0.09. Let p = r + 0.28. Let n be -1 - -2*(-1)\/(-4). Which is the smallest value? (a) n (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64463.99 tonnes to kilograms.\nAnswer: 64463990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283 = 50*o + 163 + 170 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 5:14 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 1 + 8 = k, -2*j = -4*k - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 23859514728?\nAnswer: 23859514728.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5535574 to the nearest integer?\nAnswer: 2353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -54, -76, -98, -120?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 65, 207, 485, 947?\nAnswer: 1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7856.671 + 7850. Let u = o + -0.079. Round u to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*t + 48*f - 46*f, -5*t + 19 = -f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.5 - 37.8. Let q = -27 - z. Let d = -6.3 + q. What is the biggest value in -4, d, -2\/3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, c: 7}. Give prob of picking 1 c and 2 a.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4482999 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-463.910039.\nAnswer: 231.9550195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 3 - 3)*(20 - 7 + 9).\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d. Let g(k) = -30*k. Calculate b(g(w)).\nAnswer: -60*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6a5ada24 + 3?\nAnswer: 6a5ada27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 + 0)\/((-11)\/(-22)))\/(44\/(-286)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 2*l - 2. Let m be j(-3). Let b = 1 + m. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -561338\/13 + 43202. Which is smaller: n or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipiiiiirb. Give prob of picking 1 p, 1 i, and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89751179 and 311.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**2*w**3 + 99*o**2*w - 22*o*w**2 - 8*o*w + 5*w**4 - 8*w**2 wrt w?\nAnswer: 6*o**2*w - 44*o + 60*w**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 - -7. Which is the third biggest value? (a) -0.1 (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - t + t + (59 - 55 - 35)*(2*t - 2*t + 2*t) + 0 + 2*t + 0 + (-3 + 5 + 1)*(-5*t + 2*t + t).\nAnswer: -64*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9102745961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -1\/3, -1\/5, -5\/4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 194. Let b = l + 814. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9347.199 millilitres to litres.\nAnswer: 9.347199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 11*u + 3 = 0. Which is the closest to 0? (a) 1 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 768511352383 less than 170?\nAnswer: -768511352213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-200)\/(-24) + 1\/(-3). Solve l = 5*l - y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -2950072?\nAnswer: 5\/2950072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243593 by 5.\nAnswer: -243593\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 k when four letters picked without replacement from ckkcckckcckc?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/42*4*3*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4\/3, -309, 5.\nAnswer: -309, -4\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from zmszzzzmszzs?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -140988 bigger than -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1. Let v(y) = y**3 + y**2 - y - 5. Let s(u) = -v(u) - 5*x(u). Suppose 0 = -2*f + 3*f. What is s(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5 + 3, -5*k + 5*p + 15 = 0. Let w be (10 + -34)*(k\/2)\/(-1). Let n(s) = 4*s - w + 2 + 3. Determine n(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285783*u**2 + 8 + 285783*u**2 - 8 + 37*u**3.\nAnswer: 37*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4340 (b) -10.83 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 73. Suppose 3*x - 4*f + 34 = 0, -2*x - 2*x - m = -2*f. What is the tens digit of 0 + x*(-10)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-4) - -2*2. What is the first derivative of -3 - 4 - x**4 - 4*x**w + 4*x**4 wrt x?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**3 - 4*h**2 - h. Let o(j) = -j. Calculate -4*o(z) + s(z).\nAnswer: -3*z**3 - 4*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - u. Let y be c(0). Let a(p) = 144*p - 149*p - p**3 + y - 5*p**2 + 3. What is a(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*z - 22 = 157, -4*a + 4*z = -352. Suppose 3*n + n - 3*t = a, -t = 3*n - 49. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5529 and 40261?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 14.94. Let j = w - 0.118. Let k = 0.086 + j. What is k rounded to 3 dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*(y\/((y**(1\/4)\/y)\/y))\/y)**43*(y\/y**2)\/(y**(1\/3)*y)*(((y\/(y\/(y*y**0)*y))\/y)\/y)**(-7\/3) assuming y is positive.\nAnswer: y**(-2165\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -38. Let z = -13 - a. What is the derivative of 12 + z*w - 20 + 11 wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 4*j**3 + 5*j**3 - j**2)*(4 - 3 - 3)*(-6 + 5 + 5).\nAnswer: 8*j**3 + 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 12*c + 11. Let p be i(-13). Let w = p - -5. What is the third biggest value in -1, -0.1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 58*t + 12. Let h be y(58). Solve -h*o + 72*o + 60 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2074 and 5612?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 + 10*l**2 + 40*l**2 - 29*l**2.\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 + 75*n - 106 - n**2 + 0*n**2.\nAnswer: -n**2 + 75*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3277 = 5*t, 3*t - 8*t + 6539 = 4*w. List the prime factors of w.\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 14*j**2 - 320*j + 594*j - 274*j. Let a(v) be the first derivative of 1\/2*v**2 + 0*v + 2. What is a(y(z))?\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -14*f**2 + 328*f - 134. Give u(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/6347, 3\/13, -0.4, 5, 2\/7, -0.05, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 6 + 2. Suppose -3*i + 4*t = -146, z*t = 5*i - 3*t - 235. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -42\/17 (b) -5 (c) 2\/7 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0*x)**(-1\/5))**(1\/6)\/((x*(x*(x\/x**(2\/9))\/x)\/x*x**(-1\/4)\/x*x*x)\/((x\/x**(-2\/3))\/(x\/((x\/(x*x**0))\/x)))) assuming x is positive.\nAnswer: x**(-347\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 610420 (base 8) to base 5\nAnswer: 22412401","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and 146664.\nAnswer: 146674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 213 or 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 23 = 4*p. Suppose -p*f = -39 - 1. Solve 2*s - 4*b + 9*b + f = 0, -5*s + 5*b = -15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 16259.\nAnswer: -16259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -20*k**2 + k - 45. Let g(h) = h - 8. Determine t(g(p)).\nAnswer: -20*p**2 + 321*p - 1333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 12) to base 11\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**5 - o**4 + o - 1. Let h(c) = 4*c**4 + 20*c**2 - 4*c + 4. Let a(m) = -h(m) - 4*r(m). Find the third derivative of a(j) wrt j.\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 3:39 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccyg. Give prob of picking 2 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90210318.1 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (801\/3560*20)\/((-14)\/(-24))\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7 - 153. Calculate the remainder when 40 is divided by q\/(-5) - (-6)\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)*b)**(-2\/61)\/((b**(-3\/4)\/b)\/(b\/b**(-2))))\/((b**(1\/3)\/(b**(-1\/2)*b))\/(b\/(b*b**(-3))*b*b*b**(-3)*b)) assuming b is positive.\nAnswer: b**(5777\/732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 + -30. Calculate the greatest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265986 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4))**(-46)\/(d*d\/(d*d*d*(d\/(d\/(d*d**(1\/4)\/d)))\/d*d)*d*d)**(-12\/7) assuming d is positive.\nAnswer: d**(-143\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 20*w**2 - 156*w - 32 = 0.\nAnswer: -1\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -925f - 134?\nAnswer: -9393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21.06577 + 0\nAnswer: 21.06577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 9:29 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 636 - 162. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.99999995 - -24. What is h rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 (base 8) in base 14?\nAnswer: 35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxyy when four letters picked without replacement from {y: 13, x: 6}?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y + 6. Let g(f) = 4*f - 3. Determine 5*g(c) + 3*n(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00256842347 rounded to seven decimal places?\nAnswer: 0.0025684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 924 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/28*53*242\/(-12221) and 77\/909?\nAnswer: 6363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/(-55) + 116\/(-10). Let m = s - -13. Find the second derivative of -97*y**2 - 6*y**5 + 97*y**m + 6*y wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 13 = 29. Let y(s) = -d*s + 29*s - 17*s. Let i(l) = -10*l - 14. Let j(c) = -2*c - 3. Let x(u) = -3*i(u) + 14*j(u). What is x(y(z))?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-50)*(-180)\/(-48)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f**3 + 12*f**2 - 8*f - 46. Let w(h) = 7*h**3 + 16*h**2 - 11*h - 46. Give -4*u(s) + 3*w(s).\nAnswer: -11*s**3 - s + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 578.538 millilitres?\nAnswer: 0.578538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdsosdjsjjosdsjsss. Give prob of picking 1 j, 2 d, and 1 s.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -55200713.3 to the nearest 1000.\nAnswer: -55201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 59*p**3\/3 + p**2\/2 + 860*p - 489. Differentiate i(v) with respect to v.\nAnswer: 118*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, a: 9}. What is prob of picking 2 a and 1 b?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -82 + 83 - (-1)\/(-6)*10\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y**2 + 10*y + 64. What is the remainder when 99 is divided by p(0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = f - 3*q - 4, -5*f + 2*q = -6*f + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2030 + -30421?\nAnswer: -23341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 77*w**2 + 1299*w + 49. Determine j(52).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -109\/5, -25899 in descending order.\nAnswer: -3, -109\/5, -25899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 113*k**2 + 16*k + 6. What is the units digit of q(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 129*c**2 - 8*c - 22. Let h be w(-3). Let m = h + -431. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 5, q: 3, w: 2}. Give prob of sequence ww.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 2*m**2 - 3*m + 7. Let a(c) = -2*c**2 + 4*c + 3. Let t be a(-1). Is o(t) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 4*k**2 + 4*k + 5. Suppose 7*x + 73 + 32 = 0. Let o be (-5 - 85\/x)*-6. Give r(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7879*p - 15759. Calculate d(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.56 * 37552\nAnswer: 96133.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 484767815*t**4 + 2*t**2 + 865358763*t wrt t.\nAnswer: 11634427560*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2970)\/(-3) - (23\/6 + (-24)\/(-144)). What is the third smallest value in v, -0.1, 0.01?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**(-2\/61)*m**(-1\/3)\/(m\/m**(-8)*m) assuming m is positive.\nAnswer: m**(-13225\/1281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and -13551560?\nAnswer: 1761702.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -4. Let r(h) = -4*h**3 + 2*h + 1. Let m be r(n). Let z be -3 + (-3)\/(9\/(-12)) + 3. Solve 3*a = m*t + 6, -z*t = -2*a - 7*t - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7346.118 months in decades?\nAnswer: 61.21765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.67 - -0.33. Let x = -15.82 + f. Let h = x + -1.85. Round h to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/(-40) - 1\/(-4). Let y = 3.77 - -172.23. Let l = y + -174. Which is the second smallest value? (a) l (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 132 = -4*b. Suppose 0 = 3*d - c + b, 8 = -3*d + 2*c - 18. Let v(n) = n**2 + 6*n + 1. Calculate v(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -28 (b) 15 (c) 2 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 12:42 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7907, -7916, -7937, -7976, -8039, -8132, -8261, -8432?\n\"Answer: -i**3 - 2*i - 7904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10298*s - 390*s + 843*s to z + x*s and give x.\nAnswer: -9845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -53\/523, -3\/7, -0.3, -22?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5 = -3*j, -2*i + 2 = -5*j - 0. Let y be 10\/4275*(2\/(-4))\/1. Which is bigger: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -795 or 6949?\nAnswer: 6949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44574331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -540495*n**2. Let k(s) = 2*s**2. What is w(k(l))?\nAnswer: -2161980*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4143995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141124 (base 5) in base 16?\nAnswer: 169d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -5 + 1)*-3. Solve 20*k**i - 15*k**2 - 260*k + 10 - 5*k**5 + 5*k**2 + 245*k = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/1 + (-3 - 0). Suppose -7*w + 3*w - 10 = -2*x, w + 4*x = -16. Let c be (1\/(-5))\/(2\/w). Sort c, f, -0.3.\nAnswer: f, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((0 + sqrt(1300) + -1 + -1)*-4)**2 + 2) + -1.\nAnswer: -104331 + 3200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 7*r**4 + r**3 + 19*r**2\/2 + 4*r - 12. Is s(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37079195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*j - 0*j + 64. Find the first derivative of -35 + 42 + 93*b**4 + 12*b**4 + 68*b**j + 97 wrt b.\nAnswer: 692*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2*g**2 - 5 + (-9*g + 7*g + 9*g)*(9*g - 2 + 2) - g + g - 36*g**2 to l*g + k*g**2 + h and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4435*w**3 - 2*w**2 - 69905*w wrt w.\nAnswer: 26610*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 154575 + 8*(-18)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*w = -19 - 14, 5*t - 4*w = 41. Let f be (3\/5)\/(2\/(-10)) + t. Suppose -f*q**4 + 34*q + 6*q**3 - 34*q - 4*q**2 = 0. Calculate q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1750119*p + 3061174 wrt p.\nAnswer: 1750119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3726701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.49 - 0.51. Which is the second smallest value? (a) 1\/2 (b) g (c) -1 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 147?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = -6. Suppose -2*t = f*g - 29, -30 = -3*g - g - 5*t. Let o = 213707 + -213708. Put o, g, 1, 6 in descending order.\nAnswer: 6, g, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*m - 2*m - 5*d, -2*d - 2 = -3*m. Sort m, -26, -3, -2.\nAnswer: -26, -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 - (8 - (1 + 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 546509055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190)*-1)\/sqrt(10))**2 + sqrt(19))*1.\nAnswer: sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(15)\/sqrt(3) + -3.\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 6:50 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5*n = -778 + 858, 0 = -2*x - 5*n + 11 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 3*z - 86 - 133, -48 = -x - 2*z. Suppose -3*c - x = -2748. List the prime factors of c.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6760 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 91, 205, 361, 559?\n\"Answer: 21*i**2 + 9*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 330?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f + 1799 = 26*f + 1269 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2241024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-48)*6*11\/110*-55.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 272033125 to the power of 1\/2, to the nearest integer?\nAnswer: 16493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5269*d + 27262 = -10099*d + 5147*d for d.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cac when three letters picked without replacement from {q: 2, a: 2, c: 9}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19\/15 - 2\/3. What is the common denominator of (-98)\/(-12)*(-40)\/14 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413339?\nAnswer: 103, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8562490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 462040396 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 122 + (-6)\/(24\/20). Suppose l = 10*g - 7*g. What is the highest common divisor of 26 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/7, 2\/3, -4.393?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1298270865 and 1093?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -10*a + 24 - 26 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16751339 divided by -1\nAnswer: -16751339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 - 165*w - 327. Calculate a(-39).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18620)\/(-980) + -4 + (-2)\/(2 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49883458 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4031 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10850 and 6650.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/9 - 476*h**4\/9 - 1536*h**3 - 54836*h**2\/9 + 1131298*h\/9 + 1184080\/3 = 0. Calculate h.\nAnswer: -205, -19, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 143, -200, -543?\n\"Answer: -343*t + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**30*q*q)\/q**(-2\/17))\/(((q**(-36)\/q)\/q)\/q)**(-14) assuming q is positive.\nAnswer: q**(-8736\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*c - c. Let i(f) = -31*f + 1. Let v be i(c). Suppose -2*z + 22 = -v. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/2)*o\/o**(-8))\/(o**(1\/3)\/o)**(-10))**43 assuming o is positive.\nAnswer: o**(215\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1001 + -1006. Which is greater: x or -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u - 1. Let r(z) = z. Let g be r(1). Let p be h(g). Does -8 = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277.2347 + 277.1. Let n = d - -0.0347. What is the closest to -0.04 in 5, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26460061, -52920122, -79380183, -105840244?\nAnswer: -132300305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 292 - 289. Let d = -1 - -1. What is the closest to 1 in n, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {l: 2, y: 14, m: 1}?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134759 is divided by 167?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/9 + 32*u**3\/9 + 10*u**2\/3.\nAnswer: 2*u**2*(u + 1)*(u + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*i + 219*i - 108 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1198.\nAnswer: 2\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -153, -191, -225, -255, -281, -303?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*k - 20, 7*k - 4*k = -2*u - 17. Let x = -4 - k. Suppose 0 = x*m + d - 2, -m + 5*d = -22. Which is the closest to -2? (a) m (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p - 5, p + 3042 = u. Suppose -u = w - 9*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: -71746 + 46\nAnswer: -71700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3.6. Let g = -1.4 - 0. Let b = g + d. Is b equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/7)\/((-448)\/(-588)*30\/(-80))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0)**(-2)\/(x*x\/x**(1\/2)*x**(-3))*(x*x\/x**(-5)*(x*x**(-2\/21))\/x)\/(x**(-1\/3))**(-32\/7) assuming x is positive.\nAnswer: x**(205\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = -3*x + 208867. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 405.63 - 408. What is w rounded to 1 dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 + c2d?\nAnswer: c47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -74b + 2c2?\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10a - 254?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/390 and 74\/39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/((-8736)\/3705))\/5.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 27004*l. Let t(x) = 1863275*x. Let f(u) = 4*t(u) - 275*w(u). Let j be f(-5). What is j rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*i - 7622 = -7725 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 45*j**2 + 95*j - 56. Give g(47).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3178, 6315, 9390, 12373, 15234, 17943, 20470?\n\"Answer: -5*l**3 - l**2 + 3175*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 2*b**2 + 1. Let k(u) = 1 - 1 + 5*u**2 - 3*u**2. Calculate k(g(i)).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 42, 88, 134, 180?\n\"Answer: 46*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4084.861 + 20?\nAnswer: 4104.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c + 46*c**2 - 29*c**2 - 4*c + 121*c**2 + 4*c as k + m*c**2 + d*c and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19990215 and 4505.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*o**5 - o**2 + 5*o**5 - 22*o**2 wrt o?\nAnswer: 1140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*o = -172*o + 6210 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1338*f + 1338*f + 109*f**2)*(0*f + 0*f - 4*f)*((6 + 2 - 5)*(-2*f + 0 + 0) + f - 6 + 6) as n*f**2 + j*f**4 + q*f + c*f**3 + w and give j.\nAnswer: 2180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 405, 544, 683, 822, 961, 1100?\n\"Answer: 139*c + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2974*a**2 - 6 - 2*a**3 - 2974*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**2 + 0*u**2 - 8*u - 3 - 3*u**3 - 7*u**4 - 3*u**2 + 1 + 10*u as b*u**4 + q*u + a*u**2 + c + x*u**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5914730 - 0.14692\nAnswer: 5914729.85308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a05 (base 16) in base 9?\nAnswer: 15672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-8)*28\/15. Is z less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5756.3724 - 5755. Round d to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 5 + 11162 - (-3 + 2). Is 18 a factor of (-1)\/5 + y\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 922899 + (3 - 1 - 1). Let t = 1312900 - j. Round t to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 4)*(-60 - 70 + 33)*(-i**3 + 2 - 2)*(-6 - 2 + 3) in the form f + z*i + h*i**2 + x*i**3 and give x.\nAnswer: 970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:39 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2050 is divided by 438.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 54?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*f**2 + 5*a**2*f*l - a**2 - 16*a*f**2*l - a*f**2 + 4*l wrt a.\nAnswer: -2*f**2 + 10*f*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 1 + 15, 3*f + 3*u = -3. Let a be f*(0 - 224\/(-12)). What is the highest common factor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83891948 to the nearest integer?\nAnswer: 9159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12557 + -12021.9. Let a = -174 + h. Let b = 339 - a. What is b rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 23398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3623.7 to the nearest ten.\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6463337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -122300 (base 7) to base 6\nAnswer: -251522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 - -0.2. Let s = 1.2 + i. Let q = -0.3 + 2.3. Which is the closest to 1? (a) -2 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 5*u**2 + 2*u - 6. Let a be ((-15)\/(-10))\/(6\/20). Let w be g(a). Suppose 75 = w*z - 109. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 2:32 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.2 + 10. Let w = 4.8 - t. Let f = -3548.4 + 3550.4. Sort f, w, -3\/5, 3 in decreasing order.\nAnswer: w, 3, f, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 25968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 148 = 524. Suppose -8*n = o - 79. Solve -2*u = -n*p - 4*u + 24, -3*p + 9 = -3*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 7*n - 21 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i - 4*i - 60. Sort -5, i, 4, -1 in ascending order.\nAnswer: -5, i, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7292 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = 5*p. Suppose 2*h = p + 4. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-2))\/2 + 875\/245?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, -54, -134, -258, -432, -662?\n\"Answer: -i**3 - 13*i**2 + 4*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 6*i**2 + i - 1. Let r(c) = c**2 + 1. What is -f(a) + 5*r(a)?\nAnswer: -a**3 - a**2 - a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 276736.11772 + -285.57772. Let h = m + -276468.5400069. Let b = h + 18. What is b rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n\/(n\/n**(-1\/4)*n)))))**(-21)*(n**(3\/4)\/n)\/(n*n**(-3)\/n) assuming n is positive.\nAnswer: n**(-89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -149.3 and -17.\nAnswer: 2538.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -44980.42215 to the nearest ten.\nAnswer: -44980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*x = -319*x + 157*x + 5*g + 19, -2*g = -9*g - 15 - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o**3 + 4*o**3 - 4*o**3)*(1 + 2 - 5) + 13*o - 12*o**3 - 13*o)*(0*o + 2*o**2 + 0*o).\nAnswer: -32*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 19*f**2 - 38*f - 9. Let h be m(21). Calculate the greatest common divisor of h and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1861, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66549 + -10647879\/160. Calculate the common denominator of r and -113\/40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.1. Let k be 2\/12 - 1\/3. What is the closest to 1\/4 in k, w, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - r + 1. Let m be g(-6). Let i = -17 - m. Suppose -w + t + 167 = w, -2 = -2*t. What is the highest common divisor of i and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, b: 2}. Give prob of sequence bw.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22121.\nAnswer: 11, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/16)*v**(-1\/4))**(10\/11) assuming v is positive.\nAnswer: v**(-25\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 4:29 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13306 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/4 - -3. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3233 - -3235. Let d = 5 - 8. Which is the third smallest value? (a) j (b) -2\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*h**3 - 896*h**2 - 780*h + 56.\nAnswer: -4*(h + 1)*(h + 14)*(15*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98718857616 - 0.\nAnswer: 98718857616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 33 - 1895*n + 95.\nAnswer: -1895*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 576727280 by -115345456.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-13 + 19 - 19)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 12*l - 21. Let n(i) = 11*i - 96. Let q be n(9). Calculate the lowest common multiple of 2 and z(q).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130364787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32851069.12 - -32851192.11999882. Let d = 123 - q. Round d to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14478670 (base 10) to base 11.\nAnswer: 819a048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*b**2 + 39*b**2 - 32*b**2 + 3*b**2.\nAnswer: 147*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10001 and 43840.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 4. Let o be (-14)\/(-4) - j\/4. Suppose -o*m = 3*l - 120, 4*l + 2*m - 186 = -l. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -161 - -12b3?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3517, -3516, -3515?\n\"Answer: x - 3518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 400 = 436 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -3*v**5\/20 - 291*v**4\/4 - 28227*v**3\/2 - 2738019*v**2\/2 + 373*v. Factor w(x).\nAnswer: -3*(x + 97)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y + 17. Let f be a(0). Let t(n) = 8*n + 2*n - f*n + 5*n. Let i(v) = -6*v**2. Give i(t(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*d**3*u**2*x**2 + 15*d**3*u**2*x - 2*d**2*u**2 + 10*u**2*x - 4*x**2 wrt x.\nAnswer: -70*d**3*u**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*z - 358, 12*l - 7*l - 4*z - 467 = 0. What is the remainder when l is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 669193802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5136048?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -0.039, -2\/7?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 21. Let b be (-3)\/2*r\/(-9). Is (b\/5)\/((-3)\/(-15)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28396?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1306, 4274, 8942, 15304, 23354, 33086, 44494?\nAnswer: 57572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.7313407 to two dps.\nAnswer: -70.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 13*o. Let a(i) be the second derivative of i**3\/3 + 28*i. Determine t(a(f)).\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**1*f)\/((f*(f*f**(-4\/3)*f)\/f*f)\/f))**(-31) assuming f is positive.\nAnswer: f**(-124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**4\/16 - 3*l**3\/4 - 13*l**2\/2 - 859. Determine z so that m(z) = 0.\nAnswer: -4, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -416288.0524 to the nearest 100.\nAnswer: -416300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122 + -32?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, q: 4, r: 5, g: 5, i: 2}. Give prob of picking 2 q.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by ((464\/12)\/2)\/(74\/111).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/6384 and -111\/2576?\nAnswer: 146832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15 + 0.04. Which is the third biggest value? (a) 0.1 (b) i (c) -0.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 9*j - 3*j**2 + 20*j + 4*j**2 - 6*j - 5. Suppose -7 + 1 = q. Let z(f) = -3*f**3 + f**2 + 6*f - 6. Give q*b(y) + 5*z(y).\nAnswer: -3*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y**2 + y)*(-y + 3*y + 0*y) + (-y**2 - 1 + 1)*(3*y - 3*y - 2*y) + 3*y**3 + 8*y**3 + 9*y**3.\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 3\/92 (c) 1 (d) -4 (e) 1\/5 (f) 2 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhn when three letters picked without replacement from nenpeeheemeen.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33596, -33588, -33580, -33572, -33564?\n\"Answer: 8*c - 33604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32742, -33835, -34928?\nAnswer: -36021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + 0 - 9 - 3*x)*(-2*x**4 + 2*x**4 + 3*x**4).\nAnswer: 6*x**5 - 27*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.37 + 0.07. Sort s, -3\/8, -4\/5 in increasing order.\nAnswer: -4\/5, -3\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 197\/195 + (-1 - 0). Let y = a + -12683\/780. What is the common denominator of y and -43\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-12))\/((-2)\/3). Let d(l) = l**3 - l. Let j be d(y). Let x be j\/9 - (-16)\/(-15). Put 0.05, x, 5 in decreasing order.\nAnswer: 5, 0.05, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 429863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 3*o**5\/10 - 29*o**2\/2 + 2*o - 5. Find the first derivative of y(v) wrt v.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/50440 and -137\/10542.\nAnswer: 265869240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -418725 > -4605987\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 12.8. Let f = 19 - 20.5. Let g = y - f. What is the nearest to 0.04 in 2\/3, 2\/9, g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17bba (base 16) in base 4?\nAnswer: -113232322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 + c**3 - 3*c**4 + 2 - 3*c**2 + 5*c**3 to t*c + b + p*c**3 + w*c**2 + n*c**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**5 - 1335*a**4 - 130962*a**3 = 0.\nAnswer: -299, -146, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35066?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 8 = -w, 14 + 13 = 4*k - 3*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 2*t**2 - 9*t. Let l be g(-2). Suppose l*y - 9 = 3*m, -3*y + 0 = 4*m - 5. Solve u - 8 = -y*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.567 + 0.867. Which is the biggest value? (a) 1.9 (b) 2\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18.4 (b) -73 (c) -70 (d) 0.5 (e) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1*643\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -16*v + 41. Let k(o) = -7. Let q(x) = 3*x - 78. Let g(h) = 10*k(h) - q(h). Determine 11*g(u) - 2*n(u).\nAnswer: -u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 17 = -w + 15*g, -50 = -4*w - 2*g. Suppose 0 = -j + 10 + 2. Calculate the highest common divisor of w and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/13 (b) 1264 (c) -0.4 (d) -1 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 - 297\/18. Which is greater: -1\/4 or j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43314911, 86629838, 129944779, 173259740, 216574727?\n\"Answer: w**3 + w**2 + 43314917*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + h - 1. Let m(f) = 8 - 4*f - 4 - 21 - 22. Let g be m(-10). Let w(a) = 4*a**2 - 3*a + 1. Give g*w(p) + o(p).\nAnswer: 5*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -31. Suppose -5*s + 26 - 9 = 2*b, -q = -s + b. Suppose -s*m + 165212 - 665212 = 0. Round m to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 2. Give g(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-792)\/40)\/(-11) + (-30)\/(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 4*m = -169. Let z be 10\/(-1)*36\/(-10). Let q = m + z. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - 2 + 4*c**2 + 7*c - 3*c + (c - 2*c - c)*(-c + 0 + 0) to z + y*c**2 + d*c and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 417782929?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1641*n + 341*n = 754*n - 47242 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1048043545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 5*k**6\/24 - k**5\/60 + k**4\/12 - k**3\/6 - 6*k**2 - k. What is the remainder when 72 is divided by j(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f - 2. Let u be m(1). Suppose -4*z + 0*z = -u*b - 1096, 1056 = 4*z + 4*b. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 81 = -240. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bb (base 14) in base 4?\nAnswer: 11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 - -905\/7. Let m = -17\/14 - s. Is m <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 89955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j - 1. Let c be u(-3). Let f = c - -9. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Collect the terms in -2276*n**3 - 321*n**3 - 2270*n**3 + 4847*n**3.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 47 and 21.7514788.\nAnswer: 68.7514788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 627\/15 - (-1)\/5. Let x = 64 - u. Suppose d = -k + x, k + 88 = 5*k + d. Calculate the lowest common multiple of 18 and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*f**4 - 8*d*f**2 - 8*d*f + 544*d - 249*f - 1996 with respect to f.\nAnswer: 8*d*f**3 - 16*d*f - 8*d - 249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5580517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d - j + 8 = 0, 0 = 3*d + j - 30. Let m be 5*(14\/(-10) + 2). Let u(s) = 0*s + d*s - m*s + 5*s. Let l(g) = -4*g. Determine 7*l(z) + 2*u(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/8)\/((-2)\/(-436)).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 551821 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -55, -88, -113?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, s: 1, m: 3, i: 2, b: 3}. Give prob of picking 2 m, 1 i, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z - 137. Let t(r) = -2*r**2 - 34139. What is p(t(x))?\nAnswer: -6*x**2 - 102554","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.695, 17, 10, 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 8509992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 0*y + 7 = -2*y, -152*y + 156*y + 164 = -25*j + 61*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2057 (base 8) to base 4\nAnswer: 100233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3214 (b) -4 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a66 - 0?\nAnswer: a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3174092947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 28 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4236)\/45 - 4) + (-6)\/(-45). Let b = 136 + s. Suppose b = 2*r - 10. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/44, -0.4, 4.\nAnswer: -0.4, 1\/44, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 r when three letters picked without replacement from hxxhxxrffxrff.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18a57 (base 11) in base 5?\nAnswer: -1322221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 + 2*m - 11. Let q be k(-6). Let f = 76 + q. Let y be (-10)\/f - 326\/(-22). What is the highest common factor of 30 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 5*r + 3*r)*(10*r - 5 + 5) + (0 - 2*r + 0)*(2*r - r - 2*r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-127)\/66 - 0 - (-62)\/(-2139)*23 and 65\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -121\/266?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*r - 31. Let f(m) = -m - 1. What is the least common multiple of 2\/(-7) - 72\/(-7) and f(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/10*(-88)\/(-55)*(-400)\/(-96)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 274700645 to the power of 1\/2, to the nearest integer?\nAnswer: 16574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3 + 2 + 4 - 2. Let t be -1*(-3)\/2*1592\/597. Let n(x) = x + 1. What is t*b(q) - 3*n(q)?\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7189 - -7076. What is the third smallest value in 1\/11, -2, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194097, -3, -4 in descending order.\nAnswer: -3, -4, -194097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-11) + 207\/(-253)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 26*l**2 + l - 3. Let c be b(3). Let v(q) = 24*q**3 + 96*q**2 - 15*q + 12. Let i be v(-4). Calculate the greatest common factor of c and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -1 (c) -1\/1035 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d**5 - 10826*d**4 - 39577*d**3\/7 + 40178*d**2\/7 + 4120*d\/7 = 0 for d.\nAnswer: -515, -1, -2\/21, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/7*(-1449)\/11178?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(637) + sqrt(637) + (sqrt(637) - (-2 + sqrt(637)*2)) + ((sqrt(637) + sqrt(637) + -1)*1 - ((sqrt(637) - (sqrt(637) + 1)) + 1)))**2.\nAnswer: 70*sqrt(13) + 662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4594, -1260, 4296, 12074?\n\"Answer: 1111*q**2 + q - 5706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2571010 and -67\/858?\nAnswer: 84843330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4039*m**2 - 46*m - 157. Is w(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 79*j**3 - 709*j**2 - 329*j + 2795. Calculate u(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 95, 153, 209, 263, 315?\n\"Answer: -t**2 + 61*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2542566035?\nAnswer: 5, 19, 127, 210739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:29 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**2 + 3*f + 8. Let g be o(-7). Is g\/25 + 1\/(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -20. Let n be (40\/(-12))\/((-6)\/d). Solve g - z = 0, 3*z - n = 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326 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: Does 3 divide 27462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 108 = 4*i, 23*f + 3*i - 21 = 22*f. Suppose 0 = -248*u + 253*u - f. Solve 4*q + 3*a = -15, 4*q + 26 - u = -4*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35)\/(-7) - 6 - (-10)\/2. Solve -r = -a*r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 855 + -853. Solve -2*a + 1 = 3*n - 17, f*a + 2*n = 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/629748 and -43\/23720508.\nAnswer: 71161524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 149626 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 64674.\nAnswer: 129348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**3 - 769*a**2 - 602*a + 4473. Calculate n(193).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-360)\/270 + 64\/(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -1\/4, -2\/29, 3\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 8109*w**2. Let z(j) = j**2. Determine z(y(s)).\nAnswer: 65755881*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 1:32 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*r**4 + 3*r**3 + 67*r wrt r?\nAnswer: -156*r**2 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 18 - 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 215 + 6\/(-1). Calculate the greatest common divisor of 42 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.076527082\nAnswer: -0.0229581246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, e: 4}. Give prob of sequence eii.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - g - 7, -4*p = 6*g - g + 7. Let n(j) = -2*j - 6. Let v be n(-2). Sort p, v, 3\/5, 1\/5.\nAnswer: v, 1\/5, 3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 326 + -2106370?\nAnswer: -2106042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/19 - 21435552*a\/19 + 42871112\/19.\nAnswer: -2*(a - 2)*(a + 10717778)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - 12 + c + 14 + 79 + 72 as w*c + h and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*h - 11*h - 50. Calculate the remainder when ((-16)\/2)\/(h\/(-40)) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7406228 - -0.644.\nAnswer: 1.3846228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76123349.99893 - 76123674. Let q = b + 324. Round q to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14165036 divided by 3541259.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*k - 228*k + 85*k - 12*k + 95*k.\nAnswer: 52*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13478023*p**3 - 11449328*p**2 wrt p.\nAnswer: 80868138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -462 - 0\/(1 - -2). Let a = 132 + b. Find the common denominator of (-1953)\/a - 4\/(-22) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 345*u**2 + 4825*u - 108*u**3 - 4825*u wrt u?\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 27 = 2*o - 17, 2*k + 54 = 2*o. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20457213 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*j**3 + 1106141*j**2 - 1106141*j**2 - 17*j**3.\nAnswer: 99*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 152*x + 73*x + 66*x + 13*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -13*a**5\/60 - 7*a**2. Let k(b) = 2*b - 3. Let s(z) = 2*z - 4. Let f(g) = -4*k(g) + 3*s(g). What is q(f(p))?\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 654 or 648?\nAnswer: 648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 121\nAnswer: 3\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1480932 divided by -123411?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460869 is divided by 222?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7.1 (b) 5 (c) -289 (d) -11 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 - 19*d + 18. Let u(i) = -5*i**2 - 28*i + 27. Let q(o) = -8*a(o) + 5*u(o). Suppose 0 = -r + 7 + 5. Let k be q(r). Is k not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aak when three letters picked without replacement from {a: 3, k: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*l + 615*l - 461*l.\nAnswer: -216*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*a + 33 = -35. Put -41, a, 2\/9, -1.5 in decreasing order.\nAnswer: 2\/9, a, -1.5, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u**3 + 2*u**2 - 7. Let k = 23636 + -23635. Let j(y) be the third derivative of y**6\/120 + y**3\/6 - 2*y**2. Give k*z(f) + 5*j(f).\nAnswer: -f**3 + 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**3 - 521*t**5 - 10775*t**2 - 85 - 7*t - 527*t**5 + 10775*t**2 wrt t?\nAnswer: -20960*t**3 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 170*r**2 - 4655*r + 145. Calculate f(-194).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -446.054 times 5?\nAnswer: -2230.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 + 12*a**2 - 16*a + 6.\nAnswer: -2*(a - 1)**3*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d - 3*y = 79, -4*y = -4*d - 44. Let l = -2 - d. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48373 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3837, 3833, 3827, 3819?\n\"Answer: -a**2 - a + 3839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -252, -251, -262, -297, -368?\n\"Answer: -2*i**3 + 6*i**2 - 3*i - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -acb70 - 26?\nAnswer: -acb96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 13764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -532.2 - -1124.3. What is g rounded to zero decimal places?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/3 + (4 - -60). Let r be 4 - (-2 - a\/(-10)). Put r, -2, -1.2 in ascending order.\nAnswer: -2, -1.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from illilill. Give prob of sequence lli.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in -0.15, -8.2, -4?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 463093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46717 (base 10) in base 2?\nAnswer: 1011011001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - 3*z + 4*z)*(-10*z - 25*z + 24*z)*((1 + 1 - 1)*(26*z - 2*z - z) - 4*z + 2*z + 3*z) as j + h*z + i*z**2 + b*z**3 and give b.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((3 - 3) + 1)*26\/((-520)\/(-420)). Solve z*u + 2*s = 26*u + 1, -3 = -5*u + 4*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 709.726 to the nearest ten.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.724497ml to litres.\nAnswer: 0.008724497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2. Let q(y) be the third derivative of 3*y**4\/4 - 11*y**2. Give q(j(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (116\/44 - 2)*(-300)\/(-175)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/234 and 89\/6.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 0.12, -5, -7.\nAnswer: -7, -5, 0.12, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150.61 - -153.61. Sort 0.5, -0.06, 37, l, -3 in descending order.\nAnswer: 37, l, 0.5, -0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 - 2*b - 5. Give h(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-936)\/(-126) - -2) + (-1 - 4\/(-7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0.1. Let z = f + -3.9. Let r = -0.05 + -0.95. Which is the nearest to r? (a) -1 (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23 and -2.41459.\nAnswer: -0.5553557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 (base 6) in base 9?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22, -39, -56, -73, -90?\n\"Answer: -17*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 - 126 + 14 + 1 + 0 + 0 + (-4 + 0 + 5)*(-4 + 1 + 4))*(0 + 4*c + 0).\nAnswer: -124*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 23 = -5*r, c = 3*r - 1 - 2. Let g = -5 + c. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*g + 5*b, -3*b = 4*g + 12 + 16. Let s be g\/14 + (-184)\/(-7). Let n = 26 - s. Solve 3 + n = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 54, 96, 158, 246, 366, 524, 726?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + sqrt(300) - sqrt(300))*1 + (1*sqrt(1080))\/(-2*sqrt(30)\/sqrt(3)).\nAnswer: -3*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((17 + 225 - 115)*(0 + 2 - 3) + (0 - 2 + 0)*(-4 + 2 + 3))*(3*l - 4*l + 3*l).\nAnswer: -258*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51720.\nAnswer: 2, 3, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112936086 divided by -3.\nAnswer: -37645362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o - 26*o - 9 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 6:39 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {r: 1, q: 4, g: 1, m: 5, k: 3}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by -2151504.\nAnswer: -83\/2151504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -511 + 1085. Let h be (-41)\/m*12*-1. Factor -2\/7 + 10\/7*w**2 + 2\/7*w + h*w**3.\nAnswer: 2*(w + 1)**2*(3*w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*q - 10 = 0, 4*s + 17 = s - 5*q. Let k(u) = -3*u - 1 + s + 0. Let l(f) = f**2. Give k(l(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130732819.\nAnswer: 7, 18676117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 254955456 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -3\/8*l**4 + 0*l - 7\/6*l**3 + 0 - 1\/60*l**5 + 17*l**2. Let n be h(-8). Are n and 1\/49 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -127311*m + 891184. Determine x(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5398 divided by 6\nAnswer: 2699\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537 = -14*p - 313. Suppose 37*r - 51009 = p*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15656384938 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 17 + 381336*w - 6 + 4*w**2.\nAnswer: 4*w**2 + 381336*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 380, 760, 1138, 1514, 1888?\nAnswer: 2260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -13*k - k**2 - 6*k - 29 - 3*k + 8*k. Determine v(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255070757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 3, 7, -5, 4 in descending order.\nAnswer: 7, 4, 3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 10*f - 26. Let x = f - -8. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -5*w + 5*b, -63 = 3*w - 4*b - 160. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and 0.00448.\nAnswer: 6.00448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26851 is divided by 8949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**8\/6720 + r**6\/720 + r**4\/8 + r**2. Let x(n) be the second derivative of t(n). Calculate x(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/21 of a week?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - 4*z + 3*z - 13*z + 33*z + 0*z - 2*z - 2*z + 3*z - 2 - z + 2 + (2*z - 2 + 2)*(2 - 3 + 0) - z + z + 2*z + 1 - 1 + 2 + 2*z.\nAnswer: 18*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-30 + (-23 - -42) - (-1 - 48))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 4*a**2 - a + 10. Calculate v(6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184694 is divided by 422?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*w - w = -5, 5*q + 50 = -5*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3\/2 + 5479*j**2\/6 + 74914*j - 50078\/3 = 0. What is j?\nAnswer: -511, -98, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 + 9*y**2 - 9*y + 1. Let p be o(3). Suppose 5*g = -2*s + 17, -5*g + 4 = -p. Let n = 19 + -13. Calculate the least common multiple of n and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o + 17. Determine q(9).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 6*v**2 + v - 5. Let y be t(6). Let d = y - -5. Let l(m) = m**3 - 5*m**2 - 9*m - 29. What is the least common multiple of l(7) and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 12, 1.9, 1466\/3, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-7) + 1521\/(-9198) + 0. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/10 in -0.2, -1\/3, 1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 0.3 (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from kkkkwtkkk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9569 and 1.7.\nAnswer: -16267.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5026 = -7*y - 300*y - 51*y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/21)*f*f\/(f*f\/f**(-2\/7)))**(1\/56)*(f*f**3)\/((f\/(f*f**(-2\/9)))\/f)*(f*f\/f**(2\/5))**41 assuming f is positive.\nAnswer: f**(310351\/4410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 3 + 6*r)*((0 - 3 + 2)*(-3 + 13 + 2) + 1 + 0 - 2) in the form u + k*r and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18125)\/(-1450))\/((-10)\/8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4103 + -8205\/2. Let h(j) be the second derivative of -7\/6*j**3 + 4*j - q*j**2 + 0. What is the derivative of h(c) wrt c?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 m, and 2 n when four letters picked without replacement from mnoinnmiwmnnmnn.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9724, 19502, 29280?\n\"Answer: 9778*p - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86 in -24\/17, 1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 190016 = 8*n - 10*n. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6429625 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -191 + 191 - 54*c - 2*c - 2*c + 3*c + 2*c + 3 - 3 + (2*c - 5*c + 6*c)*(3 - 2 + 1) + 16*c - 3*c + 4*c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102 - -97. Let m = 1 + -4. What is the second biggest value in m, l, 3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3050?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34794606?\nAnswer: 2, 3, 7, 11, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 34. Let q be 9*(-2 - (f + 4)). Suppose -q*y = -10*y + 2. What is the third biggest value in -0.01, y, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276441, 276755, 277069?\nAnswer: 277383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.3 - 7.1. Let x = 76.7 - g. What is x rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(0*k + 0*k + 2*k**2) - 6*k**2 + 0*k**2 + 4*k**2 + 384*k**2 - 4592 + 4592 + (-3*k - k + 2*k)*(k - 4 + 4).\nAnswer: 378*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1092\/5 - 1086\/5. Let i(d) be the first derivative of 11\/5*d**3 - 39\/10*d**2 - 11 + j*d. Determine z so that i(z) = 0.\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**3 - s**2 - 41*s - 40. Let p be (2\/20)\/((-453)\/4530). Determine o(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1289 - 645 - 154205*l**2 - 644 + 154202*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -223*i + 229*i - 14808. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 12*o + 4. Calculate a(14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/11))**(2\/83))**(-9) assuming o is positive.\nAnswer: o**(36\/913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 x when three letters picked without replacement from xgxxxgxxggggg.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - 10 - -16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 8*z - 13. Let c be n(-9). Suppose 4 = -4*q - 4. Sort 3, q, c in decreasing order.\nAnswer: 3, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -2. Suppose -z = -p, -2*z + 2*p = 6*p. Which is the closest to z? (a) 1 (b) k (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-175)\/(-175))\/((-3)\/(-21)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2. Let z(x) be the third derivative of x**5\/60 + 9*x**2. Determine z(v(c)).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*c = c + 7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8316 - 8311. Solve 26 = x - 3*x - 5*v, -5*x - c*v - 35 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 189*h**4 + 4*h**3 + 17. Let d(v) = -v**3 + 1. Let w(f) = 4*d(f) + p(f). What is the derivative of w(z) wrt z?\nAnswer: 756*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -521*a - 345. What is the hundreds digit of p(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7283.57 rounded to the nearest ten?\nAnswer: -7280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + 17*x + 17. Suppose 5*u + 85 = -0*u. Let w be (-33)\/(-15) + 1\/(-5). Let z(r) = -34*r**w + 35*r**2 + 3 + 6*r + 3. What is u*z(v) + 6*j(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -297.317332 to 2 decimal places.\nAnswer: -297.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f**2 + 241*f + 93. What is r(-30)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 4*c**2 - 3*c**2)*(2 + 3 - 4) - 3*c**2 - 2*c**2 - 6*c**2 + 6*c**2 + 4*c**2 - 4*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.479387 weeks?\nAnswer: 2709133257.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + o = -657, 3*r + o = 1067 - 404. Calculate the greatest common factor of 132 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -367*x**2 - 117795*x + 3861. What is v(-321)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12011221202 (base 3) in base 6?\nAnswer: -2104202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 8.8. Which is the nearest to -1? (a) h (b) -1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232973, -231731, -230485, -229235, -227981, -226723?\nAnswer: -225461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 36. Let q(h) = -5*h - 73. Let u(i) = -7*p(i) + 3*q(i). What are the prime factors of u(0)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q + 2*q)*((q + 3 - 3)*(0 + q**2 + 0) + 3*q**3 + 0*q**3 - 2*q**3 + (q**2 + 0*q + 0*q)*(-q + 1 - 1) + q**3 - 3*q**3 + 4*q**3).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 2 + -4 + -1. Let m be (2 - 7)\/(g + 1). Suppose -m*x + 2*x = 0, -8 = -2*u + 3*x. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + h - 14 = 0, h = 3*h - 4. Calculate the smallest common multiple of y and 3846.\nAnswer: 7692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2267774 millilitres in litres?\nAnswer: 0.0002267774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18048 + 8875 = 97*g - 8979 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 836\/35 - 118\/5. Sort -2\/25, v, 4\/7, -5 in ascending order.\nAnswer: -5, -2\/25, v, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 40 = 4*p, -5*t - 81 = -2*p - 5. Let u = 1 - t. Let q = 1 - -2. What is the highest common factor of q and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-4\/13))\/(w*w\/(w*w**(-5))*w)*w*w**(-32)*w*w*w\/w**6 assuming w is positive.\nAnswer: w**(-516\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**2 - 3 - 9*j + 2*j + 1 + j**3. Let t = -10 + 4. What is the units digit of u(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = -28 + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -89*w**2 - 12. Let l(v) = -89*v**2 - 14. What is 7*h(t) - 6*l(t)?\nAnswer: -89*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**2 + 7*c**2 + 10*c**2 + 6*c**6 wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s*s**(1\/16)))))**(-30)\/(s**23*s**(-2\/53)) assuming s is positive.\nAnswer: s**(-8941\/424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/8367 - -304009\/66936. What is the common denominator of a and (2\/(-24))\/(12\/891)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24498 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + (-8 - -24) + -7 + -6 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (192\/20 + -7)\/(-1*(-1)\/5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/240 and -169\/240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (119 - 127)*1\/(-2). Let t(r) = -r**2 + 3*r + 38. Give t(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409 = -41*o + 83. Solve 0 = -d + 3*d - 5*j + 28, -o = d - 2*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 79603*x + 3580116. Give u(45).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1803*i**2*w - 9661751*i**2 + 781*w + 2 wrt w?\nAnswer: -1803*i**2 + 781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8)\/(z**(-2\/19)\/z))**21*z\/(z**0*z)*z\/(z\/(z\/(z\/(z*z**(-1\/3)\/z))))*z*z**6*z\/z**(-1\/2) assuming z is positive.\nAnswer: z**(17899\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-7)\/i))\/i*i\/(i**6*i)*i*i**(2\/7)*i*i**1*(i**(2\/11)\/i**(1\/2))\/(i\/i**1)**(-2\/5) assuming i is positive.\nAnswer: i**(765\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1240*q**4 - 2*q**2 + 734?\nAnswer: 4960*q**3 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -199 + 114. Let h = b + 84.99939. Round h to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 13*u + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1599740480?\nAnswer: 2, 5, 13, 29581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*((-143)\/2)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.46011 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 31 = -12*d - 110 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1419 + 1435. Solve 4*p + 5*r = j, -p + 4 + 7 = 3*r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s. Let p be (-1)\/(-7)*(-61 - s). Let d = 9 + p. Is d smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.5 (c) -0.72 (d) 1\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1020)\/(-102)*(-2)\/20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -84, -100, -134, -192, -280, -404?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*-6*6\/(-12). Solve -5*s = -4*c - j, -14 = 5*c - s - 2*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**4*i**2*j - 6*c**4*i**2 + 2*c**2*i**2 + c**2 - 6*i*j wrt c?\nAnswer: 72*c*i**2*j - 144*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**2 - 6*a + 113. Let c(n) = 3*n**2 + 7*n - 114. Let v(y) = 4*c(y) + 5*i(y). Differentiate v(t) with respect to t.\nAnswer: -16*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44660 and 79228.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + (3 + sqrt(125))*2)*-6*-2*3)**2.\nAnswer: 233280*sqrt(5) + 1504656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*h + 12. Let c be (-3)\/h + (-2200)\/(-16). Suppose c*z - 144*z = -12. Solve v + p = -z*v + 16, 0 = -v - 5*p + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.14618g in kilograms?\nAnswer: 0.03914618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 291680 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 12*m - 14 + 16 = -6, 0 = -2*d + 3*m - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8944, 8943, 8942, 8941?\nAnswer: 8940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*q + 15 = 7, 3*q = 2*p + 10. Let s = 11 + -15. Calculate the remainder when 42 is divided by -44*(p + (-6)\/s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*r**(-8\/5)*r*r))**(-5) assuming r is positive.\nAnswer: r**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -1. Let d(k) = -k + 8. Let a(w) = -3*d(w) + 21*g(w). Let x be a(15). Suppose x = -4*l + 10 + 6. Solve -4*m = -l*u - 20, 5 = -3*u - 4*m - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.95 and 0.06.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 - n**3 + 13*n**3 + 36 + 4*n**3 + 20*n**3 in the form q*n**3 + r*n + a*n**2 + o and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 52 = -16. Suppose 4*x + 3*l + 11 = -0*x, 4*l = -3*x - z. What are the prime factors of (1\/x)\/((-6)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.934763 days in minutes?\nAnswer: 1346.05872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3442923 and 51045?\nAnswer: 705799215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4 - 5*y**3 + 123*y**2 + 257*y + 130 = 0. Calculate y.\nAnswer: -13, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*l + 55, -8 = -3*n + 7. Let i = l + 39\/2. Let f = -14.3 + 14. Which is the nearest to 0.1? (a) f (b) 2\/23 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -2*t**3\/3 - 23*t**2 - 58. Find m such that f(m) = 0.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruruzzrrrrru. Give prob of sequence ru.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -528.6791013 rounded to the nearest 10?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 + 35 = 2*m + 4*y, -4*y = -4*m + 236. Solve -33*u = -m*u - 24 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302940 divided by 75735.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/10*(-2 + 2) + 9. Suppose 0 = -4*v + v + s. Suppose -v*x + 7*x = 3*z - 328, -5*x - 323 = -3*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-12\/7)\/p**(-4\/13))\/(((((p**(-3\/14)\/p)\/p)\/p)\/p)\/p**(1\/9)) assuming p is positive.\nAnswer: p**(683\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*j*o + 55*j - 24*o wrt o.\nAnswer: 5*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9415 is divided by 269?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8010 - 2080?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*r - 608 = 1171, 3*f + r - 1779 = 0. Calculate the remainder when f is divided by 67.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 k, and 1 f when three letters picked without replacement from {s: 2, f: 6, x: 8, k: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) + (-6)\/(-9). Let k be 57 + 0 + (-3 - r). What are the prime factors of (k\/(-15))\/(6\/(-20))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10085, 80728, 272413, 645662, 1260997, 2178940, 3460013?\nAnswer: 5164738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-1 - 1 - 17)*(2 + 3*a - 3 - 5*a).\nAnswer: -76*a - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a = 50*a - 680053. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*5\/10 - -10. Suppose 7*w - y*w + 8 = 0. What is the greatest common factor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - a + 3 + (-4 - 4 + 4)*(-7*a + 5 - 5) + 2*a - a - 2*a to k + f*a and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129634*d**4 + d**3 - 87*d**2 - 5786*d - 4356 wrt d.\nAnswer: 1555608*d**2 + 6*d - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - 80 + 3*v**4 + 75 - 4*v**2 to the form q*v + z*v**3 + g + a*v**4 + i*v**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1284, 1282, 1280?\nAnswer: 1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 - -55. What is the closest to 0.1 in o, -19, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 850430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 9 + 0 + -10)*36\/(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.06, 2.\nAnswer: -0.06, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttt. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l + 28. Let z(a) = 14*a - 28. Let k(q) = -4*f(q) - 3*z(q). Let w be k(21). Solve -4*d + 3*y - 37 = -w, 3*d + 12 = -3*y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bubbbbbb.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z**3 + 77*z**2 + 83*z + 578. Is v(-53) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 0.2, 39 in decreasing order.\nAnswer: 39, 0.2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-1))\/(-14 - -15). Solve t = 2*q - 5*x - 6, 2*x + 4 = 2*q - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16947 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2) + -2*(-3)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 + 38*p**3 - 14*p**3 to g*p**3 + k*p**2 + i*p + u and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -717*c**2 + 3735*c?\nAnswer: -1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170609 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -4*1)\/(-1). Find w, given that -w + 2*w - 2*w + 0*w**3 + z*w**2 - w**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = u. Suppose -3*h + 45 = -0*h. Solve -u*o + h = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -44*q + 688. Suppose -x = 16*x + x. Let g be s(x). What is the highest common divisor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 1. Let s = 57 + -57.04. Let r = s - -4.04. Put o, r, -5 in descending order.\nAnswer: r, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 b, and 1 d when four letters picked without replacement from dbqqbdbbllldlllll.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*6\/(-36)*3)\/(331\/76130)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 56.9, -1, 2, 4, -4, 5\/4, -3 in ascending order.\nAnswer: -4, -3, -1, 5\/4, 2, 4, 56.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -94 + 0*s**2 - 43 - 2*s**2 - 46 as t*s + z + u*s**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.117 + 121.883. Let y = b + -121.9847. Round y to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 18 = 2*x + j, 5*x - 5*j = -15. Let l(d) = d**3 + 6*d**2 - 8*d - 9. Let o be l(-7). Which is the nearest to o? (a) x (b) 2\/5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-115)\/(294400\/(-1680)))\/((-70)\/(-40))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -299982732 by -4.\nAnswer: 74995683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4283?\nAnswer: 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5993904?\nAnswer: 2, 3, 7, 17839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**2 - 11*t - 46. Let d(u) = u**2 + 2*u + 9. Let p(i) = -11*d(i) - 2*h(i). What is p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4315554 and 45.\nAnswer: 21577770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 10*p**2 + 58*p - 578. Calculate q(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -198*x**3 + 1 - x + 4*x**2 - 2*x**2 - 3*x**2 + 213*x**3. Let f be s(1). Suppose 5*q + 414 = f*q. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -202\/18487 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1786729690.\nAnswer: 2, 5, 2971, 60139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 37 = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 84. Suppose -25*f + x = -19*f. Suppose 12*b - f*b - 561 = 0. List the prime factors of b.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.8. Let y = -2.1 + f. Let s = y - -2.29962. What is s rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.73, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1402*g - 1899716. Calculate j(-1355).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 divided by 190341?\nAnswer: 125\/63447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 31 = 3*s - 8*t, 4*t = s - 22. Suppose -q - 5 = -2*n - 13, 5*n = -s*q - 11. Solve 0 = -2*o + q*y + 3*y - 24, 3*y = -3*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1934 and 16.\nAnswer: 15472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1764 - -1744. Let x be 2\/(-1*2\/(-6832)). What is the units digit of (x\/d)\/7*(-10)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 1. Let n(i) = 7*i**2 - 42*i + 151. Suppose 10*o - 9*o - 4 = 0. Let y(z) = o*u(z) + n(z). Factor y(a).\nAnswer: 3*(a - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -656936 or -656937?\nAnswer: -656936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57636768 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 1 + 5. Let r = 8 + -5. Suppose -t = x*v - 91, -4*t - r*v = -6*v - 364. Round t to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/7))**29)**(1\/77)*(k**(1\/8)\/(k\/(k**(-2\/13)*k*k)))\/(k**4*k*k**3) assuming k is positive.\nAnswer: k**(-400041\/56056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(121)*2*3 - (sqrt(121) - (sqrt(121) + (sqrt(121) - sqrt(121)*-1)))*5)\/((sqrt(891) + -1*sqrt(891) + sqrt(891))*-1) + 1).\nAnswer: -32*sqrt(11)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 15*t - 27. Is w(11) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 325691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 4*q + 7. Let u be j(5). Differentiate 2*i**2 + i**u + 0 - 1 + i**2 wrt i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604*u - 570 = 414*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 + 4*u**2 + 0*u**2)*(-2 + 0 + 7)*(9*u**2 + 0*u**2 - 2*u**2) in the form y*u**3 + n*u + v + m*u**4 + r*u**2 and give m.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*a - 49920, 3450*a + 5*z = 3449*a + 16682. Is a a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4, -2*u = -3*p + u + 3. Suppose -p*c + 12 + 28 = 0. Calculate the smallest common multiple of 0 - -15 - (c + -5) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2859.6 + -1536855.7.\nAnswer: -1539715.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1714 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 13*y**7\/210 - 10*y**3\/3 - 21*y**2. What is the derivative of u(b) wrt b?\nAnswer: 52*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**2 + 3*k - 1. Let z be m(-3). Suppose -124 = -5*j + z. Calculate the greatest common factor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56658 and 17466?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/56)\/((8\/(-14))\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 24. Let z be (2 - (-10)\/i)\/2. Let s = -151\/30 - -26\/5. Which is the closest to 0.1? (a) s (b) z (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/1588883 or 1?\nAnswer: -11\/1588883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*x - 18 = 0, 2*r = 4*x - 1 - 3. Let c be (-111)\/r*(0 + -1194). Let g = -39911 + c. Round g to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -5587.21.\nAnswer: -5576.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 9 = -44. Suppose -8*q + l*q + 114 = 0. Let d = 58 - q. What is d rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 7*l**2 + 12*l + 19. Calculate p(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/(((-54)\/63)\/(10\/35))*3\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 423 and 424 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(-3 + 3 + p**2) + 2 - 2 - p**2 + (46 - 6*p - 46)*(11 - 11 - 6*p) to b*p**2 + z*p + y and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3885 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -41256, -5, 5, 4 in decreasing order.\nAnswer: 108, 5, 4, -5, -41256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o. Let a be (1 + o)\/(5 - 4). Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4769?\nAnswer: 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 + -100. Let d be 24\/18 - (-370)\/6. Suppose -s*b = -13 - d. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 51*x - 1233. Give t(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*z + 14, 2*m + 30*z - 27*z = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80462\/267 - -904\/3. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 11 - (56 + -45 - (11 - 0))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -26. Let k(h) = -h**2 - 7*h + 4. Let r be k(-7). Solve -5*u + 5*v = -w - 5, 0 = -r*u + 5*v + 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09 + -18.09. Let o = -13 - d. What is the closest to -1\/2 in -2\/9, -4, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1141, 4528, 10169, 18070, 28237?\n\"Answer: f**3 + 1121*f**2 + 17*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(35\/(-60))\/7.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1694620 + 4198698. Let p = -10404078 + h. Round p to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 13 + 113 = 2*y, 28 = y + 5*r. Let f(k) = -37*k - 7 - 28*k + y*k - 2*k**2. Let j be f(-5). Solve j*a + 2*a + 5 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1944, 5, -3, -1, 4.\nAnswer: -3, -1, 3, 4, 5, 1944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 15*u**3 + 253*u**2 + 22*u + 70. Let f(r) = -8*r**3 - 126*r**2 - 12*r - 38. Give 11*f(k) + 6*z(k).\nAnswer: 2*k**3 + 132*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pybvvyybkyyjyy. What is prob of picking 2 b and 2 y?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 288 (base 11) to base 4\nAnswer: 11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*f - 694 + 98034 = 674*f for f.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10831, 11216, 11855, 12748?\nAnswer: 13895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 658*q + 129. Let b be j(-4). Let y = -1415 - b. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11930, 11924, 11914, 11900, 11882, 11860?\n\"Answer: -2*g**2 + 11932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/13, 3, -16162?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/102 and 71\/1226108.\nAnswer: 3678324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -0.1 (c) 50152 (d) 2 (e) -4 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 20*g - 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/1*0\/4. Suppose i = -4*k + 13 - 1. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/t**(17\/3))\/t**(1\/4)*(t*t**1*t)\/(t**19*t) assuming t is positive.\nAnswer: t**(-239\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-270)*(-2)\/10\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 9*d**5 + 71*d**4 + 194*d**3 + 246*d**2 + 149*d + 35 = 0.\nAnswer: -35\/9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.9. Let x = d - 0. Suppose 2*y = -4*j + 4, -4*j - y = 2*y - 8. Which is the nearest to j? (a) x (b) -1\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**4\/12 + d**3\/6 + d**2\/2 + 2*d. Let o = -614 - -613. What is y(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 + 215248*q**2\/3 + 5792108378*q\/3 + 11581633924.\nAnswer: 2*(q + 6)*(q + 53809)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(3) - sqrt(3)) + 6*sqrt(9)\/sqrt(3) + sqrt(9)\/(sqrt(9)\/sqrt(3)*-5) + -2.\nAnswer: -36*sqrt(3)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -160 + 385. Let n = 365 - f. Suppose -2*m = 3*m - n. Calculate the greatest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 33 (b) 2 (c) -2\/21 (d) -9 (e) -4 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.37731 litres in millilitres?\nAnswer: 72377.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -322147 (base 10) to base 15\nAnswer: -656b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 19. Let k(x) be the first derivative of -x**3\/3 + 183. What is k(w(f))?\nAnswer: -4*f**2 - 76*f - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y - y)*(8 - 14 - 10).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-54*q - 24*q + 4*q)*(-2*q + 4*q - q).\nAnswer: -148*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 12*y + 12. Let i be o(15). Let k = i + -603\/11. Determine m so that k*m**3 - 8\/11*m**5 + 0 + 2*m**2 - 2\/11*m**4 + 4\/11*m = 0.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/86454 and 61\/29592.\nAnswer: 47376792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = -y. Let v(m) = -m**3 + m**2 + 4*m + 3. Let t be v(y). Let u be (78\/117 - (-2)\/24)\/(2\/8). Solve -3*i = -u*s + 3, -4*s + 0*i = -i - t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 - 5. Let b = -17.7 + r. Let p = 24 + b. What is the third smallest value in -0.5, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 333 = -18*x + 5*n, 3*x - 4*n = 510. Solve -x = 59*q + 180 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101365?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -305 - -309. Put -12\/5, g, -5, -1\/3 in decreasing order.\nAnswer: g, -1\/3, -12\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 67757, 67751, 67747, 67745, 67745?\n\"Answer: q**2 - 9*q + 67765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, -103, 3, 5, -3 in ascending order.\nAnswer: -103, -11, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3263568 divided by 3532\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16228 or -16285?\nAnswer: -16228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 0*y + 2*y - 45 = 0, 13060*b = 13063*b + y - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/20 + (-19)\/(-5). Suppose 3*r + x*a = -17, a + 9 = -r - a. List the prime factors of 17 + (12\/(-3))\/r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Let x = -1 + p. Let m = 63 + -191\/3. Sort -0.5, m, x.\nAnswer: m, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 419405*x**2 + 408980*x wrt x?\nAnswer: 838810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/12*(-6)\/4. Let q(o) = 3*o**2 + m + 5*o + 7*o + 0*o**2 + 0*o**2. What is the remainder when 45 is divided by q(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1711008, -3421980, -5132952?\nAnswer: -6843924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25 - 0)\/(-1 + 0). Let f = -14 - h. Suppose 0*y = -2*y + 154. What is the greatest common factor of y and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-8)*o)\/o)**(-26\/7)*(o\/(o**(2\/19)\/o*o*o))**(-1\/3))**(-1\/14) assuming o is positive.\nAnswer: o**(-5935\/2793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.10564 litres to millilitres.\nAnswer: 39105.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 212, -23, -19, -3, -1, -10, 4 in decreasing order.\nAnswer: 212, 4, -1, -3, -10, -19, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -548 (base 9) in base 2?\nAnswer: -111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 2*q**2 + 10*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4342549?\nAnswer: 4342549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -542*y - 81. Let n be h(-2). Solve -999*c + n*c + 16 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaeafeaeevv. What is prob of picking 2 v and 1 f?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + 34 + -40 + 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(0\/(-3) + (-3)\/15). Solve t = -5*x, 4*y = -2*x - 2*x - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11 = -3*h, 4*h + 4 = -4*m - 0*h. Suppose 14 = 9*d - m*d. Is d less than -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**4\/5 - 544*f**3\/5 + 12404*f**2\/5 - 11856*f\/5 = 0.\nAnswer: -156, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3*m - 24 = 0, 3 + 1 = -m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + z**3 - 2*z**3)*(3 - z - 3) + (0*z + 2*z + z)*(-1506024 + 800*z**3 + 1506024).\nAnswer: 2402*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -87. Sort 0, k, -3 in descending order.\nAnswer: 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, u: 8, p: 1}. Give prob of picking 1 p, 2 r, and 1 u.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -60, -146, -260, -396, -548?\n\"Answer: j**3 - 23*j**2 + 10*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 plus 6959900.408?\nAnswer: 6960055.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 23 - 4*t + 5*t**2 + t**2. What is the tens digit of j(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/(-1)*-10. Suppose 3*o + 6 = 3*t, 5*t - 12 - 16 = -4*o. Put o, b, -3, -4 in ascending order.\nAnswer: b, -4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 15698.\nAnswer: 47094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 - 2*g**3 + g**3 + (g - 3*g + 3*g)*(6*g**2 - g**2 - 3*g**2) - g**3 - g**3 + 6*g**3 + (-1 + 1 + 2*g)*(0 - 2*g**2 + 0).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -3 - (-3 - -15). Let z be (-15 - -5)*114\/o. Find the common denominator of (z\/(-64))\/((-2)\/(-8)) and 25\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/744 and -49\/399156.\nAnswer: 798312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 24*s**2 + 14*s - 23. Let q be c(10). Let b = 5768 - q. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 12 (c) 0.42 (d) 0.4 (e) -5\/4 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2 + (sqrt(11) - sqrt(77)\/sqrt(7)) - sqrt(11)) - (-4*sqrt(88)*-3)\/sqrt(8)) + 3.\nAnswer: -13*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 25. Let u = 5 + -3. Let n(m) = -m + 2*m + 1 + 2*m - u*m. Let o(b) = -4*b - 5. What is v*n(d) - 2*o(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.239 times -69.128\nAnswer: -16.521592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 9*i + 2162. Calculate the remainder when (-1430)\/(-8) - 1\/(-4) is divided by a(-42).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1)\/(20*(-8)\/(-32))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 7) to base 16.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q + 682 + 110. Let v = 101 + q. Let k(h) = -h**2 - 10*h - 6. Let r be k(-9). Solve -r*s + v*s = -5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 6*t**2 + 0*t**5 - 1\/8*t**4 + 0 + 1\/20*t**6 - 1\/112*t**8 + 0*t**7 + 0*t + 0*t**3. Solve n(d) = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 3*d - 1. Let n = 34 - 36. Determine m(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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 b(p) = -p. Let n(i) = -1. Let z(g) = -g**3 - 66*g**2 + 162*g + 6362. Let s be z(-67). Let h = 0 + 1. What is h*b(w) + s*n(w)?\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3*-473158.91\nAnswer: -1419476.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -891 + 919. Let d be (5 + 234\/(-48))\/(21\/b). What is the nearest to d in -0.3, 4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179162, -358259, -537356, -716453?\nAnswer: -895550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*w = -39*w + 172 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6999 is divided by 198.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37120 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 2*g**4 + 3*g**3)*(0 - 5 + 4)*(13*g - 21*g + 23*g).\nAnswer: -30*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-24 + -1 - -25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/525 and -57\/70.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 63 = -a, y + 0*y = -a + 64. Suppose -a = -3*k - 3*u + 2*u, 80 = 3*k + 4*u. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-14) - 891\/(-77). Solve 0 = 2*o - 3 + q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p*t**3 - p*t**2 + p*t - 966*p - 121165274*t**3 - 203*t**2 - 15*t - 1 wrt t.\nAnswer: -12*p - 726991644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -22. Let v = -11 + t. Let l = -2 + v. Which is the second biggest value? (a) 0.3 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**2\/2 + 20*v - 292. Calculate o(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 18.3.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4153 + 4141.228. Let d = -0.228 + r. Put 4, d, 2\/9 in decreasing order.\nAnswer: 4, 2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 13*n - 2*n)*(2 + 1 - 1) + (-2*n + 1 - 1)*(3 + 4 - 5).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 8*l**2 + 7*l + 16. Let c = -27 + 55. What is the remainder when c is divided by p(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(-924*y**2 + 1701 + 1700 - 3401).\nAnswer: 924*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1679 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = 5*p + 2*o, 1 = -p - o. Let y(g) be the first derivative of g**2\/2 - 6*g - 2. What is y(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (146\/(-9))\/(46 + 5402\/(-111)) + 6?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 26 = -11. Suppose -9 = -2*y + n*y. Let a be (2*(-4 - (-4 - 2)))\/((-8)\/20). Is y > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x. Suppose x*p + 20 = -4*p - 2*r, -4*r - 1 = -5*p. Let v(j) = j**2 + 2*j. Determine v(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/60*-6 + 1. Solve -2 = -a + j*a, 6 = -m - 3*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 4 = q + 14, -q - 50 = 13*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2 - 2*y - 1 - y**2 + 3*y. Let p = 12 + -3. Let g be p\/(-15) - 4\/10. Let z(n) = -7*n**2 + 5*n + 4. Give g*z(r) + 5*u(r).\nAnswer: 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 1 (c) -0.53 (d) 0.1 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 31*f**2 + f. Let t be h(3). Let v = t + 10. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*i**2 + 317*i**2 - 114*i**2 - 237*i**2.\nAnswer: 206*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 16. Let r be f(4). Let n be (152\/12 + -14)\/(2\/r). Which is smaller: 9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 256 = -3*d - 23*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -167591\nAnswer: -4\/167591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8914, 71503, 241386, 572209, 1117618, 1931259?\n\"Answer: 8941*r**3 + r**2 - r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -236\/1035 - -2\/345. What is the closest to -1.6 in 2\/13, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 252 = -35*t + 37*t, -2*t + 3*b = -260. Does 41 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2169, 4338, 6507?\n\"Answer: 2169*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwxb when four letters picked without replacement from {b: 2, m: 1, v: 2, w: 1, x: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 711789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234883 a multiple of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2448))**2 + 3.\nAnswer: 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 335. Give c(-270).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -7996423\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)\/(p\/p**(2\/9)))\/((p**(-4)*p)\/p*p**1)*(p\/p**(-2\/7))**(7\/12)\/(p**(2\/3))**(1\/8) assuming p is positive.\nAnswer: p**(148\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 659\/63229?\nAnswer: 659\/63229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**7\/5040 + g**6\/80 + 17*g**5\/60 + 15*g**2. Let c(f) be the third derivative of q(f). What is the tens digit of c(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -3*l**6\/8 + 33*l**5\/20 + 53*l**4\/16 - 43*l**3\/4 - 30*l**2 - 25*l + 546. Factor m(n).\nAnswer: -(n + 1)**3*(3*n - 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 14, v: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193351 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 1)\/(1377\/102). Let -4\/9*g + 2\/9*g**5 + 2\/3*g**2 + q*g**3 + 0 - 2\/3*g**4 = 0. Calculate g.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - d**2 + 2*d. Determine m(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 32 - 4 = 8*w, -23*w = z - 26*w - 12 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 12:21 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44109.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 763492321, 763492323, 763492325, 763492327, 763492329?\nAnswer: 763492331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21201211 + 1000001221?\nAnswer: 1021210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + (-56)\/21)\/(2\/381). Let g = -95 - y. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 579748 - 7541505\/13. Suppose -5*n + 4*z = z + 1835, -367 = n - 2*z. Let v = l - n. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -911, -1786, -2661, -3536, -4411, -5286?\n\"Answer: -875*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -11*i**6\/15 + 11*i**5\/2 + 739*i**4\/12 - i**3\/3 - 3*i**2\/2 + 821*i + 2. What is the third derivative of n(r) wrt r?\nAnswer: -528*r + 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 k when three letters picked without replacement from {b: 2, p: 1, k: 5, j: 7, o: 1}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.5 (b) -0.4 (c) 2 (d) 42 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4506 divided by -751.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6993.219l to millilitres.\nAnswer: 6993219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -11. Is (6 - 1)\/(2 + z) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*s - 8. Suppose 164 = -3*d - 127. Let t = s - d. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1377)*-4*2 - (-4 + (sqrt(1377) - (-2 + sqrt(1377))*-6)))*-3)**2.\nAnswer: -59616*sqrt(17) + 6558201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 + -15 - 10)\/((-3)\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*y - 2*y = 173, -4*p + 171 = 5*y. Calculate the remainder when p is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*i + 139*i + 136*i.\nAnswer: 188*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/22 + 835\/10395. Let v = y + -340\/3591. Let f = -10 + 5. Which is the biggest value? (a) -4 (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-3*sqrt(114))\/sqrt(6) + 0)**2.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 3. Let v be (-298130 - 1)*m\/3. Suppose 4*k + v = -501869. What is k rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16153 divided by -48?\nAnswer: -16153\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*j + 15 = -273*j. Suppose 0 = 3*r - 3, 6*i - 5*i = -j*r + 48. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.565 - 0.035. Let b = j + 1.6. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11938555879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, c: 3, d: 3}. What is prob of sequence codd?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 7*j**2 - 16*j**2 + (0 + 0 - j)*(-2 + 2 - 2*j) to o*j + b + q*j**2 and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, u: 2, h: 1}. Give prob of picking 1 h and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 133 = 1883. Let g = z - -255. Solve 3*t + 2 = 11, 3 = -g*o + t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 - -80. Let i(q) be the third derivative of 1\/300*q**5 + 0*q + 2\/15*q**3 + 1\/30*q**f - q**2 + 0. Factor i(h).\nAnswer: (h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 - 2\/(-7). Suppose -5*k - 26 = -c, 2*c + 1 = -4*k - 3. Let z(r) = 9*r - 56. Let m be z(c). Sort 4, j, m in increasing order.\nAnswer: m, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = p - 7, 5*p + 0 - 9 = -t. What is the units digit of 574\/21 - t\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 13460*y + 28. Let a(x) = -154791*x - 324. Give -7*a(z) - 81*m(z).\nAnswer: -6723*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -30, -27, -6, 39, 114, 225, 378?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/5*((-1)\/4)\/(31\/(-1116)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/5 (b) 0.5 (c) 0.1 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 401 + -383. What is the third derivative of l*p**6 + 231*p**2 - 2*p**3 - 2402*p + 1201*p + 1202*p wrt p?\nAnswer: 2160*p**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 2. Let x = q + -10. Let n = -1 - 1. Do n and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 6 = -4*v + v, -5*v + 22 = -2*r. Let s(f) = -f**2 + 7*f - 5. Let b be s(v). Which is smaller: b or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/270)\/2 + 304\/36.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47299 is divided by 2480.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 = 5. Let v = -91 - -99. Factor v*n**2 + 2*n**3 + 2*n**4 + 2*n**3 - j*n**3 - 10*n**3.\nAnswer: 2*n**2*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3175 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12926592 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 1, l: 2, u: 8}. What is prob of sequence ludu?\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6502 - 1.8.\nAnswer: -6503.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -44135776 divided by 32?\nAnswer: -1379243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-1 - -18) + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -557, -4, -45 in decreasing order.\nAnswer: 5, -4, -11, -45, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 108689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.304 + 0.696. Do 766 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*b**3\/23 + 4*b**2 - 32*b\/23.\nAnswer: -2*b*(b - 2)*(19*b - 8)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8980981?\nAnswer: 17, 29, 18217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*x + 6 = 0, 0 = -2*x - x. Suppose 0*i + 2*i + 4 = 0. What is the third smallest value in 3, j, i, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 121 - -29b928?\nAnswer: 29ba49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1784 and -2?\nAnswer: 0.3568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6745 + 5120 = 74*s - 5081. Which is smaller: 95 or s?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31896 is divided by 2273?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2092514 (base 10) to base 14.\nAnswer: -3c6814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2241 is divided by 668.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 9. Let q be z(-6). Suppose 2*c + q*g + 3 = 14, 5*c = 5*g - 10. Find the first derivative of -4*a - c - 2 - 4 wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 4635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(28)\/((-4*sqrt(24))\/sqrt(6)) + -1.\nAnswer: -1 - sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*f - 6 = 0, -5*j - 15 = 2*f + 2. Let w be -5*(-3 + (-3 - j)). Suppose -10 = w*o - 17*o. Solve 2*p = -5*t - 10, p = 3*t - 0*p - o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5085 and 38985?\nAnswer: 116955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/197530151 and -51\/1923103.\nAnswer: 1382711057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/3, 1\/5, -1\/3, -4, 3 in descending order.\nAnswer: 3, 2, 2\/3, 1\/5, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*3\/1 - -5. Suppose f*u + 191 = 5*l - 2*u, 0 = -5*u - 20. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 24*v**2 + 22*v + 45. What is the remainder when 106 is divided by x(23)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2455648 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191001 is divided by 112.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 438, 638, 970, 1434, 2030, 2758, 3618?\nAnswer: 4610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvi when three letters picked without replacement from {v: 12, i: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**4*x - 59*m**3*x**3 - 6*m*x**3 - 4*m - 4*x**2 wrt m?\nAnswer: -24*m**2*x - 354*m*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekeeeeeekeeekkeeeeee. Give prob of sequence eeee.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 47, -1 in decreasing order.\nAnswer: 47, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10 + 13*z + 4 - 1. Let x be (0 - 28\/(-8))*2. Let c(l) = 4*l + 4. Determine x*c(w) - 2*q(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8875 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 45*c - 25*c - 18*c. Let s(f) be the third derivative of 0*f + 0 + 0*f**3 + 10*f**2 - 1\/8*f**4. Calculate x(s(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 2. Let c be i(-2). Suppose c*b + 0*b - 18 = 0. Is b\/(-3) + (118 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 809, 715 in descending order.\nAnswer: 809, 715, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29733.60001 + 29734. Let b = 0.4 - s. Round b to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14343, 20648, 26953, 33258, 39563?\nAnswer: 45868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.307626 millilitres to litres.\nAnswer: 0.002307626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 3*p - 24, 9*x + 178*p - 22 = 179*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*g - 200*g = -42. Suppose -f - 4*c - 3 = -11, -c + 21 = 5*f. Put g, 1, f, 2 in increasing order.\nAnswer: 1, 2, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110062999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 - ((-2)\/7 - (-6441)\/(-1344)) and 89\/8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 39*d**2 + 1547*d - 219. Determine o(-24).\nAnswer: -1059","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 828?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 2 - 1)*(-z - z + 5*z) + 0*z + 2*z + 0*z)*(-48467 + 261*z + 48467) to t*z + r + d*z**2 and give d.\nAnswer: 2088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m**3 - 2*m - 621.\nAnswer: -9*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssls. What is prob of sequence ls?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16485 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.528184 to 3 dps.\nAnswer: 1.528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = q + t, 2*t = 3*t - 1. Solve q*c + 0*c = -20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1407 - 1407.4. Which is bigger: q or 18.7?\nAnswer: 18.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/25)\/(6\/(-20)). Let v be 174\/(-24) + (-2)\/d. Let g = -13\/2 - v. Which is the third biggest value? (a) 2 (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 - 5*x - 759. Let o(c) = -2*c**2 - 2*c - 253. Calculate 4*i(a) - 11*o(a).\nAnswer: 2*a**2 + 2*a - 253","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = 16. Suppose -q = -3*q + g. Solve 6*v - 5*a + q = 2*v, v + 1 = -a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from yyyytyyyyyytytttyyoy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 414 + -410. Is 31 a factor of (-6 - (0 - r))\/((-24)\/1164)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2865375606?\nAnswer: 2, 3, 43, 1103, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4333 and 1183.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384 - 7788 - 1144 - 941 - 34*i + 37*i.\nAnswer: 3*i - 10257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 12597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11030, -22068, -33104, -44138, -55170?\n\"Answer: f**2 - 11041*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 285017, 285103, 285189, 285275, 285361?\n\"Answer: 86*c + 284931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -94b1 (base 12) in base 6?\nAnswer: -203141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38294, 307312, 1037478, 2459366, 4803550, 8300604, 13181102, 19675618?\nAnswer: 28014726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6041692721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*l**3 + 3 - 125*l + 237*l - 94*l - 86*l in the form q*l**3 + d*l**2 + o*l + b and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9615285 and 1923057?\nAnswer: 9615285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**4 - b**4 + 4*b**4)*(2 + 1 - 2)*(2557 + 4667 - 39 - 1192 + 2734).\nAnswer: -8727*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 152, 530, 1268, 2486, 4304, 6842?\nAnswer: 10220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*sqrt(1458)*-6)\/(4*-1*(sqrt(576) - sqrt(576)*-1)).\nAnswer: -81*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**4*k**2 + 2*j**3*k**2 - 56*j**3*k - 3*j**2*k**2 - 30*j*k wrt j.\nAnswer: 48*j*k**2 + 12*k**2 - 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o - 2. Suppose -13 - 22 = -5*b. Suppose 4*m = -3*m + b. Let c be j(m). Sort 3, c, -29 in decreasing order.\nAnswer: 3, c, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/6)\/((-2)\/3). List the prime factors of 39 + (c - -3) + 3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000422 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3286 - -16048. Suppose -11*c + 8*c = u. List the prime factors of (-2)\/(-9) - c\/54.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.5 - -2.49664. Round b to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.0147\nAnswer: 0.0735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5789, -11908, -18017, -24116?\nAnswer: -30205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*3*4\/(-42)*637\/(-182).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from qfdfdffqfdffqfdfqdf?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Let g be o(2). Let p(s) = s**2 - 2. Let b be p(g). Let x be 3 + ((-6)\/2 - -5). Solve 0 = b*c - x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 9, -7, 0.1, 10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 <= -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z - 9. Let l be f(7). What is g in l*g**2 - 2*g**3 - 38*g**2 + g + 3*g**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 5:50 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - -110) + -30 + (71 - 1).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbfd when four letters picked without replacement from {f: 1, b: 1, d: 2, p: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2)*0*2\/(-4). Find the first derivative of -20*r + a + 8*r + 4 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11.6, 401, -5, -3?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - 0) + (5 - 9). Solve 6 = -0*g - i*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b + 35. Let j be x(8). Let d = -12 - -2. Let w(c) = 5*c + 1. Let g(s) = 18*s - 1 + 5 - 2*s. Give d*w(q) + j*g(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-465)\/95 + (-25)\/(-5).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11999 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:26 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.99 + 30. What is the closest to -1 in q, 0, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5559*a*s**3 - 1081*a*s - 2*a + s**3 + 3046*s**2 + 149*s + 2 wrt a?\nAnswer: -5559*s**3 - 1081*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -392.7101053 rounded to two dps?\nAnswer: -392.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 645 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**4\/3 + 2*s**3\/3 + 3*s. Let w(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 117*l - 114.\nAnswer: -3*(l + 1)*(l + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - -7 - 3 - -96. Let u be (0 + 1\/4)\/(1\/m). Solve 4*h - 5*x + u = h, 10 = 2*h + 2*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 70, 98, 128, 154, 170, 170, 148?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/131796907 and -30\/11.\nAnswer: 131796907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 4)*(57\/15 + 0). Suppose -y*l = -17*l. Which is the closest to -1\/4? (a) -3\/4 (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 - 69. Let h = 48 - q. Calculate the highest common factor of 329 and h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2736\/(-2280))\/((-6)\/40*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + l**2. Let t be u(-2). Let s be (-3)\/(-2)*40\/t. Suppose -4*f - 32 = 2*i + 12, i + 49 = -s*f. What is f rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753*x**2 - 1604*x**2 + 2356*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328233 is divided by 1788.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 21*x**2 + 5*x - x**2 + 2*x**2 - 3*x**2 + (-x + x + 2*x)*(-3*x - x + 6*x))*(3*x - x + 0*x).\nAnswer: 46*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 8*r + 7. What is a(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**4\/24 + 4*q**3\/3 - 921*q**2. What is s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6761*z = 13108*z - 844151 for z.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*l**2*v**3 + l**2*v**2 - 17*l**2*v - 2*v**4 + 7*v**2 wrt v.\nAnswer: -126*l**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21715414, 21715411, 21715408, 21715405, 21715402?\nAnswer: 21715399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*h**2*n**5 + h**2*n - 2*h**2 - 23*h*n**2 - 2*n + 142 wrt n?\nAnswer: -1880*h**2*n**3 - 46*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 550814 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**5 + 244050*o**4 + 1708554*o**3 - 4637328*o**2 - 1708551*o + 4393278 = 0.\nAnswer: -9, -1, 1, 2, 81357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/15 - 16*i**3\/15 - 2*i**2\/15 + 16*i\/15 = 0. What is i?\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9619.7007 - -9671.68. Let l = -52 + r. What is l rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 72 = -19*f. Let q(j) = 3*j - 1 + 3 - 11. What is q(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p + 11. Let q = -20 + 15. Suppose -5 - 2 = -5*y + 3*w, -5*y = 5*w - 15. Let g(r) = -4*r + 5. What is q*g(b) + y*v(b)?\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/45)*o\/(o*(o*((((o*(o*(o\/(((o\/o**(-19))\/o)\/o*o))\/o)\/o*o*o)\/o)\/o)\/o)\/o*o)\/o)*o*o*o*o)**33 assuming o is positive.\nAnswer: o**(11407\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 0, -5*o + 2 = -2*i + 4. Let k be -3*(-8 - (-7 + i)). Let x(h) = -h**3 + 6*h**2 - 2. Give x(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -230 + 343. Let a = g + -73. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -425423 (base 9) to base 8\nAnswer: -756574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 63. Let j be ((-10)\/4)\/1*a. Let i = j - 54. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 338*l + 1. Is o(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxa when three letters picked without replacement from {x: 2, u: 2, a: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 2 - (-2 + 1). Let d(x) = 9*x**2 + x - 1. Is d(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -19\/5 (b) 26 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**5\/3 - 32*b**4\/3 + 122*b**3\/3 + 28*b**2\/3 - 520*b\/3 + 400\/3 = 0.\nAnswer: -2, 1, 2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 3 + 6817\/1. Let g = 25229 - l. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 7*t**2 + 8*t - 9. Determine u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1232*b - 457*b - 2200*b - 575*b + 352*b.\nAnswer: -4112*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.71 and 941.\nAnswer: 1609.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1444 - 1450 - 1413*z**2 + 18*z**2 to v + a*z**2 + s*z and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/11 + 274044*z**2 + 9043466*z\/11 + 6028980\/11 = 0.\nAnswer: -2, -1, 1507245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17997, -1, 7 in decreasing order.\nAnswer: 17997, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfdffahvvgdf. What is prob of picking 1 a, 1 f, 1 v, and 1 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + 437251\/9 + 24\/(-54) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4595 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.94048 rounded to two dps?\nAnswer: -11.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -108, -142, -196, -276, -388, -538, -732?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 478 * -0.204\nAnswer: -97.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 8*j + 3600 = 0. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24222*z + 24250*z - 255696. What are the prime factors of z?\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 8. Let z be f(7). Suppose -3*a = z, -5*y - a + 5*a = -520. Suppose 2*g - y = 160. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxvxxxxxx. What is prob of picking 1 v and 2 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-5 - -11 - 3) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 1594*z**3 - 82*z + 1595*z**3 in the form s*z + p*z**3 + c + m*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 86*x + 1123. Let r be b(-13). Solve 25 = -r*c, -5*z - c = -45 + 55 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(((-20)\/12)\/5*18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 147 = 9*c. Let z = c - -23. Suppose 0 = l - 3*g - 55, z*l - 194 = -2*l - g. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -174.869721 + 460767\nAnswer: 460592.130279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126 + 121. Which is the closest to q? (a) -1\/6 (b) -0.03 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-6)\/5)\/(81\/(-270)) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-11)*(p*p*(p\/(p\/p**(-8))*p*p)\/p)\/p*p)\/(p**(-2\/3)*p*p*p*((p\/((p*p**9)\/p))\/p)\/p*p) assuming p is positive.\nAnswer: p**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 205*t - 19062. Determine f(93).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.56987 to 1 dp.\nAnswer: 128.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -17. Suppose -3*b - 19 = -5*d, 5*d = b - 6*b - 5. Suppose d*n - 55 = z. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -46. Let g = x + 7. Solve -h + 6*h - g = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 28.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.006511 + -0.006511. Let i = 0.2 - 0.1. What is the nearest to i in 0.9, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3628, 7323, 10970, 14575, 18144?\nAnswer: 21683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117137803.\nAnswer: 17, 79, 87221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*o + 13236. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/3 + 224*v**4\/3 + 103012*v**3\/3 - 14333176*v**2\/3 + 28356430*v\/3 - 14126488\/3 = 0. What is v?\nAnswer: -236, 1, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22168938 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 12:46 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -342812*b*g**5 + 225082*b*g**2 + 42*g**5 - 51*g**2 wrt g?\nAnswer: -20568720*b*g**2 + 2520*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*3*(sqrt(243) + (sqrt(243)*1 + sqrt(243) + -2 - sqrt(243))))**2*4*-4.\nAnswer: -140546 + 10368*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 23746*i**2 - 64*i + 64*i + 14462*i**2 in the form h*i + j + o*i**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.135211ml to litres.\nAnswer: 0.004135211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -76. Let p be -1 + (-51)\/34 + f\/(-2). Let b be (-35)\/16 + 4 + p. Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*((sqrt(84) - (sqrt(84) + (2*sqrt(84) - sqrt(84)) + sqrt(84))) + sqrt(84)) - 2*-3*sqrt(84))\/(sqrt(12) + -2*sqrt(300) + sqrt(300) - sqrt(300)*-4).\nAnswer: 3*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpjquop. Give prob of picking 1 w and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120592.\nAnswer: 2, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1352 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -24*9\/18*(-4)\/8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1102.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3 - 2 + f + 1. Let t be l(7). Differentiate -6*m - 2 + 3*m**t + 6*m wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + p = 40, -14*p + 5 = t - 15*p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8*w + 425 = 3*w, -5*q - 5*w + 435 = 0. Let f = -33 + q. What is the remainder when f is divided by 28\/(-238) - 189\/(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + n + 4)*(66 - 66 - 9*n)*(2 + 2 - 6).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2745200 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14034 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13.096+455.2\nAnswer: 442.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335845 is divided by 167908.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -18*j**4\/5 - 7504*j**3\/5 + 16636*j**2\/3 - 37904*j\/15 - 1514 = 0?\nAnswer: -3785\/9, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxpqrxxqlxrlxrlx. What is prob of picking 2 q, 1 r, and 1 p?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 5*z. Let d be i(4). Let g(k) = -k + 3. Let m be g(3). Let y(t) = -t**2 + m*t + 4 + d*t + 0*t. What is y(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 3*p + 3*p. Suppose 3*w + 3*f - 2 + 5 = 0, 2*w + 3 = -f. What are the prime factors of a(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -1, -30, 3, -2 in increasing order.\nAnswer: -30, -2, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztt when three letters picked without replacement from qztqzzztzcqztt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 7*l + 2. Let t be x(-7). Let d = 2\/51 + 80\/561. Let v = 0.3 - 5.3. Which is the nearest to 0? (a) v (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 55\/(-110) - (-5)\/2. Solve 10 + g = -6*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 477831218?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnn when three letters picked without replacement from ttnttnttt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 0, 391, -6, 4, 10, 2 in decreasing order.\nAnswer: 391, 48, 10, 4, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjtztpptjzzjpjp. Give prob of sequence pjjp.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 4 - (-2 - -2 - -3) - (211 + -259)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.8. Let y = -0.17 - 0.03. Let m = z - y. Do -3 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + ((-3*-1*sqrt(76))\/(sqrt(12)\/sqrt(27)))**2).\nAnswer: -6148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*1\/(-2). Suppose 2*h + 6 = -4*p, 0 = -p - 8*h + 3*h - 15. Suppose p*l - l = 0. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79\/102 - 1\/17. Suppose -4*u = -5*u - 6. What is the common denominator of u and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(192)*-1 - ((sqrt(192) - sqrt(192)*-2) + -4)**2).\nAnswer: -5238 + 552*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2*108\/(-20))\/((-6)\/8310)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 2, 54, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o + 144*o - 4 - 3 - 22*o - 1 + 10.\nAnswer: 96*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1949 = 4*s + 2983, -3*s = o + 3705. What is the units digit of (-6)\/42 + s\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 888 - 493. Suppose 5*h = y - 105. Let x = 0 - -20. Calculate the remainder when h is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 60*v - 782. What is the hundreds digit of j(109)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = -s - 5863. Let x = -518 - s. Solve -3*o + 5 = -7, -4*o = i - x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -39*l**3 + 11*l**2 + 36*l + 1. What is the least common multiple of 10 and g(-3)?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*l**4 - 2)*((-1 + 3 + 0)*(-2*l - 20*l - 9*l) - l + 3*l - 8*l).\nAnswer: -136*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 305*r**3 + 314*r**2 - 2436*r - 3672.\nAnswer: -(r - 306)*(r - 3)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31821470 is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-1\/3)*u))\/(u\/(u**(-2\/15)*u))*(u**(-1))**(-6\/5) assuming u is positive.\nAnswer: u**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15379 + 15536. Calculate the remainder when 488 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5900232 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4.714354307 - -0.34\nAnswer: -4.374354307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7*1 - 12\/3. Let p be 10\/t + (-12)\/(-18). Suppose -11 = -l + p*b, 26 = 4*l - b - 33. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 132, 196, 260, 324?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**3 + g**2 + 273*g + 273. Let k be h(-1). Solve -u + 2*x = -5, -18*x = k*u - 19*x + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -5. Let v be (5\/(-3))\/(3\/n). Sort 2, 1, v in ascending order.\nAnswer: v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -103343.00712 to the nearest 10.\nAnswer: -103340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -2\/15 (c) -59 (d) 1 (e) -1\/2 (f) -23126.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915 is divided by 151.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 111?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 18*c - 1 + 98*c.\nAnswer: 116*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/(-183)*18\/(-16).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 + 191*c + 91*c - 392*c.\nAnswer: 6*c**2 - 110*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*l = -9. Let f = 1 + l. Suppose 10 + 0 = -5*c. Put c, 0, f in descending order.\nAnswer: f, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76652 is divided by 92.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*f - 69*f - 13338. Which is greater: -352 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -595 = 5*o - 665 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13.5 in -3\/14, -2\/11, -0.2, -3, -44.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -25*c - 4. Let u be b(-1). What is u rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 3\/4 (c) 2424 (d) -4\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285, 297, 311, 321, 321, 305, 267, 201?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*f + 191*f + 20 = 0. Solve f*b - 3 = -8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 382*x - 6271. What is a(13)?\nAnswer: -1305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 49376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5015 and 14875.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzdcdcbbdbdzddibc. Give prob of picking 2 b and 1 i.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*i**5 + i**4*x**3 + 17*i**2*x**3 + 2*x**3 wrt i.\nAnswer: 3000*i**2 + 24*i*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 605088 and 1551684.\nAnswer: 409644576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 9:49 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-1)*3\/10*(-1584)\/2376\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.91 + 0.09. Let u be ((-704)\/348 + 2)*9\/(-6). Let m = 55\/87 + u. What is the closest to m in 5\/2, -2\/3, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4076022798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004319 to five dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 802 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -4 (c) -5 (d) -156\/11 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 9:57 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -36363.373.\nAnswer: -181816.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (750\/100)\/(6\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/(-156)*2*(-2)\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + 29. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 + 1324*v + 7*v**3 - 3*v**3 + 10*v**3 - 1313*v to the form o*v**2 + d*v**3 + r + y*v and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 225*b - 223 with respect to b.\nAnswer: 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 14\/11, 3, 2\/3, 6\/31.\nAnswer: -0.09, 6\/31, 2\/3, 14\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 47*j**2 - 173*j - 41. Calculate x(-43).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -147*s - 5337. Calculate w(-32).\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + 2 + (-2 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**4\/4 - 2*p**3 + 3*p**2 - 7*p - 2. Let c be z(6). Suppose 5*i - 4*x - 16 = 13, -i = 5*x - c. Solve 0 = 3*l + i + 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(288)*3)**2.\nAnswer: 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/12 and 75\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -105289 divided by 281?\nAnswer: -105289\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 99737285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 234*a**2 - 311*a**2 - 285*a**4 - 342*a**4 - 331*a**2 wrt a?\nAnswer: -15048*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -22*r + 84. Let l be p(4). Let m(z) = -z + 1. Let d(s) = -2*s**2 + 4*s - 2. Determine l*m(x) - d(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 49*j - 185. Give s(0).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27)\/(-30))\/((-4)\/5))\/((-215)\/430)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11603 divided by 657?\nAnswer: -11603\/657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -141*f - 1163. Give u(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 39949550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is -7930010\/9 equal to -881113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 3:22 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**2 + 17*h + 44. Let m be a(-2). What is the greatest common factor of m and 10994?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558440 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: What is the next term in 5493, 10984, 16471, 21954, 27433, 32908, 38379?\nAnswer: 43846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 14 = 4*d, -d + 0*a = 5*a + 2. Let n(s) be the first derivative of 0*s + 3 + 2*s - s**4 - 3*s**4 + d*s**4. Differentiate n(b) wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 13*j**2 - 10*j + 14. What is n(12)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) 0.4 (b) 0.08 (c) 0.1 (d) 5 (e) -2.55 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 88 = o, 7*o - 3*o - 200 = -4*n. Calculate the remainder when 216 is divided by n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -442.764 - -294.\nAnswer: -148.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 1347. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1954 + -1953.999990744. What is f rounded to seven decimal places?\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d + 13*d - 24*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2463 = -4*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -15*s + 21. Suppose -s*j = f - 2*f + 25, -5*f = -4*j - 41. Solve f*a - 4*a + 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -3. Put a, 1, 5, 2 in decreasing order.\nAnswer: 5, 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - sqrt(96)*-2*-1)\/(sqrt(300)*-2))\/((sqrt(36) + (sqrt(2916)*-1 - sqrt(36)) - sqrt(36))\/(sqrt(81)*-1)).\nAnswer: 3*sqrt(2)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -138a9d (base 14) to base 6\nAnswer: -22302455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccuucuc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 7*t**2 + 8*t + 1. Let w be p(8). Suppose -2*y - f = 2*f - 333, -4*y - f = -w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.5495 in 3, 29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + (-7 - -9) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(24\/1659) + 2*1?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -13*u - 2. Suppose 0 = -4*t - 8. Give l(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1 + 4 + 0 - 4*c - c**2 - 4. Calculate m(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15321384*z**2 + 30642748*z + 40 = 0. Calculate z.\nAnswer: -5\/3830346, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*o**5 - o**4 - 6038*o**3 - 69781423*o**2?\nAnswer: -4740*o**2 - 24*o - 36228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -5*n + n. Let w = 99 - n. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (382 - 299 - 594)*(2*l**2 + l**2 - 4*l**2) as d*l**2 + n + a*l and give d.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 22 + 12 = 0. Suppose 2*f = h*m - 8, m - 7*f = -12*f - 2. Solve 0*q = -m*t + 3*q + 18, -t + 4*q + 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 5*x + 30 = 0, -4*i + x - 8 = 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51842268, -51842270, -51842272?\n\"Answer: -2*f - 51842266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**15\/(w**(1\/49)\/w))\/(w\/(w\/((w**(-11)\/w)\/w)))**(-22) assuming w is positive.\nAnswer: w**(-13231\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i + n - 75, i - 2*n = 73. Calculate the remainder when i is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 1, l: 1, c: 1, f: 2, m: 1}. What is prob of sequence lomf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 4 - 16. Let v be (s\/(-4))\/((-4)\/2504). Suppose 9*w - 434 = v. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s - 7*s)*(3*s**2 + s**2 - 6*s**2) - 29*s**2 + 83*s**3 + 1 - 1 - 77*s**3.\nAnswer: 18*s**3 - 29*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11a421 + -2?\nAnswer: -11a423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10421 + 1214040?\nAnswer: 1203215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140518875 and 1605930?\nAnswer: 281037750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpdppudtpytdtdtyptnt. What is prob of sequence yd?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -14. Let x(r) = 2*r - 3. What is the units digit of x(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 7*x**2 - 5*x. Let b be h(6). Suppose 0 = 4*k - 5*k + b. Solve -k*r + r - 25 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - s + 2. Let y(w) = w - 33. Let u be y(17). Let j = u + 13. What is g(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 7*x**2 + 12*x + 8. Give v(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -135, -250, -351, -432, -487, -510, -495?\n\"Answer: o**3 + o**2 - 125*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 12. Let o = -53 + 68. What is the remainder when o is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -47, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-11 + 1134\/112).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5 + 154*h**4 + 94006*h**3 + 6033942*h**2 + 17260092*h = 0. What is h?\nAnswer: -101, -3, 0, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + g - 103 + 90 = 0, 3*r + 1 = 4*g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84ec (base 16) in base 2?\nAnswer: 1000010011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -13*i**7\/35 + i**5\/15 - 14*i**3\/3 + 40*i**2 - 3*i. What is the third derivative of n(c) wrt c?\nAnswer: -1872*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26651495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4951203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g + o = -4, 0 = -g + 2*o + 8. Let z(x) = -4*x + 14. Let f be z(g). Suppose 56 - f = 3*t. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720 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 the millions digit of 5246236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let x(n) = 0*n + 4*n**k - 9*n - 4*n + n. Let p(w) = -1. Let q(m) = m - 6. Let g(l) = 6*p(l) - q(l). Calculate 12*g(c) - x(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2154 by -359.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = u + h - 3, 0 = -2*u - 5*h + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3*y - 77*i**3 + 2*i**2*y + 2*i**2 + 8*i*y + 2*i - 235*y + 1 wrt i?\nAnswer: 18*i*y - 462*i + 4*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/36 and -113\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4025 = -4*h + 24795, 0 = -5*x + 15. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**8)\/h*h)**(-1\/11))**(-45) assuming h is positive.\nAnswer: h**(405\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6652 or 6654?\nAnswer: 6654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*z - 3, -6*z - 3*g + 18 = -2*z. Suppose 0 = -5*h - 2*p - 3*p + 20, -2*h - 4*p + 8 = 0. Solve -z*a + 28 = 5*v, -h*a + 8*a = v - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/59510 and 3\/15862120.\nAnswer: 174483320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + k**2 + 3*k**2 + 9*k**2 - 4*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 581540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 3\/5701 (c) -3\/4 (d) -2\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -0.3, 0.6, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*v + 2 = 13, 0 = -2*g - v + 9. Suppose g*c = 12 + 12. Does 5 divide c - 2*(-2)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqjfqxfqjpxxy. Give prob of sequence jqy.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31 - 6*2\/(-4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 6:29 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 2. Let x(v) = -v**2 + 3*v**2 - b*v**2. Let s(p) = p**2. What is x(s(m))?\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 7*l**2 + 4*l - 7. Let w be i(-6). Suppose -1 = w*a - 11. Let r(p) = 0*p**2 + p**3 + 0*p**a - 7. Calculate r(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -3 - (-78 - -135) - -7.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u + 4*u)*(3 - 3 + 2*u) - u**2 + 0 + 0 - 26*u + 4*u**2 - 2*u**2 - 158*u.\nAnswer: 3*u**2 - 184*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 4*l**3 + 0*l**3)*(l - 2*l + 0*l) + 6*l**4 + 18*l**4 - 7*l**4.\nAnswer: 22*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/8 - 77\/(-22). Calculate the greatest common divisor of 1217 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 110, 71, -6, -133, -322?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.3 - -6.28. Let l = s - -0.41. What is l rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*j = -5*p + 16, 2*j = -p + 9. Suppose -4*f - 25 = -p*k - f, -5*f = -3*k + 31. Solve 2 = -k*w - 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 33. Solve -w*t = 2*j - 25, j = 2*t + 3*j - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - -1*sqrt(209) - sqrt(209) - sqrt(209))*-1)\/(5*sqrt(22)\/sqrt(2)))**2 - ((sqrt(171)*2 - sqrt(171))*6)\/sqrt(9)*-1.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 4:46 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.9 - -3.1. What is the nearest to 3 in a, -0.3, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*12\/(-2)*-14*(-4)\/504.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjjj when four letters picked without replacement from jsjjzzz.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -138, -149, -162, -177, -194, -213?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.94 + -3. Let w = x - -0.06. Let k = -62 + 67. Which is the third smallest value? (a) w (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877113929 to the power of 1\/3, to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*1*(-24)\/28. Let m be -22*(p\/(-2))\/6. Let b(a) = a**2 - 11*a + 5. What is the least common multiple of 5 and b(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 2*t + 3*t)*(-8 + 8 + 3*t)*(-3 - 4 + 2).\nAnswer: 45*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**2 + 2*j + 1. Let b(z) = -4*z**2 - 2*z - 1. Suppose 0 = 4*s - 4*m - 100, -5*s = m + 1 - 132. Let x be (-3 - s\/(-4))\/(2\/4). Give x*b(f) + 6*w(f).\nAnswer: 2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -222, -196, -134, -18, 170?\n\"Answer: 3*k**3 + 5*k - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllgllblglb. What is prob of sequence gb?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 10145913.\nAnswer: 10145914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 19 - 37 = 0. What is the highest common divisor of 54 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -352, -4, 1 in ascending order.\nAnswer: -352, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, g: 3}. What is prob of picking 2 g and 1 r?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -3*f - 5*j - 20, -f = 5*j + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -30*(-15)\/(-135)*-12*(-13)\/(-5). Factor n*b**2 + 74\/3*b + 4\/3.\nAnswer: 2*(12*b + 1)*(13*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 176.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -243678123603?\nAnswer: -243678123600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-19) + 1932285104\/5776 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8716.\nAnswer: 2, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97130 or -97131?\nAnswer: -97131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -88*f**3 - 10*f**2 - 34*f - 161. Is z(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*p, 4*y - 12 = y - 3*p. Which is smaller: 5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020\/14*(-28)\/(-3) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13735 - -13790. Solve v = -21*x + 10*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1941959, 7767931, 17477915, 31071911, 48549919, 69911939, 95157971?\n\"Answer: 1942006*g**2 - 46*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 6 = -4*s - 5*l, 2*l = s - 2. Suppose m - 2*y = 3*y + 563, 0 = s*m + 5*y - 2177. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -8 (c) 0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 417 and 1390?\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69.9902 - -70. Round g to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 4*s - 15, -1076*r = -1075*r - 3*s + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1155511, -1155418, -1155325?\nAnswer: -1155232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141043 - 224?\nAnswer: -141322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -64*b + 2. Let j(w) = -w + 1. Let r(v) = 2*j(v) + u(v). Differentiate r(z) with respect to z.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2 - 3*h - 18. Let i be d(7). Let k = -109 + i. List the prime factors of k.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8995 and 3.4.\nAnswer: -30583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 630 and 153043674.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(186\/2 + 2). Let s = 5971 - 5951. Let u = s - m. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -117*t**3 + 2*t - 1. Give p(1).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1504721 to the nearest 1000.\nAnswer: -1505000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.26, 2.1, 1\/4 in descending order.\nAnswer: 2.1, 1\/4, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*v = 51*v + 49. Solve -v*u = 3*t - 5*u - 16, -2*u + 18 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539.8748 microseconds in milliseconds?\nAnswer: 0.5398748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 6 - 1)*11\/(-792)*-18. Let q(f) be the second derivative of 0 + 43\/2*f**k - 35*f - 22\/3*f**3. What is the derivative of q(i) wrt i?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29912 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93075, 186023, 278863, 371595, 464219?\n\"Answer: -54*p**2 + 93110*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/73)\/((-403399)\/19678)?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 12190.\nAnswer: -1\/2438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39*(-1)\/(18\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(1\/3)))\/(s**6*s))\/(s**14\/s**(-4)) assuming s is positive.\nAnswer: s**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -0.043899 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 20*y**2 + 4*y**4 + 7*y**3 - 24*y**3 - 8*y.\nAnswer: 4*y*(y - 2)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -114 + 56*x + 9 + 14*x + 2*x**2 + 33.\nAnswer: 2*(x - 1)*(x + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67400.99 millilitres in litres?\nAnswer: 67.40099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.315 - -3.3. What is h rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -405aba + 5?\nAnswer: -405ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 6406*p\/3 + 160775\/3.\nAnswer: -(p - 25)*(p + 6431)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 17097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a + 4*a + 16, y - 11 = 5*a + 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 78*g + 3*g**2 - 191*g**3 - 193*g**3 + 380*g**3 to y*g + w*g**2 + j + q*g**3 and give y.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**3 + 70*i**2 + 28*i - 5. Let l(f) = -f**3 + 3*f. Let s(q) = k(q) - 3*l(q). What is the second derivative of s(h) wrt h?\nAnswer: -6*h + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -2020525?\nAnswer: -2020526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80622 and 1227258.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/65 - (-44)\/10 - -2. Sort 3, 7, u in decreasing order.\nAnswer: 7, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27187 = 2249*y - 9195 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 41*y - 25*y + 7 + 85*y + 4*y.\nAnswer: 101*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/7 - 2526*n + 11166183.\nAnswer: (n - 8841)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(0 + (-3 - -5)). Let s(z) be the third derivative of -z**4\/24 - 7*z**3\/6 + z**2. Let w be s(h). What is the nearest to 1 in w, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1866)\/21 + (-1)\/7. Let k = 156 + q. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 8988?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - 2 - (-3 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 11*o + o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = 1818 - 1842 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29027939 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*c**4 + 205*c**3 - 2025*c**2.\nAnswer: 5*c**2*(c - 5)*(8*c + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1353049?\nAnswer: 353, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3965663129 to the power of 1\/3, to the nearest integer?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**3\/2 + r. Let h(a) = -86*a + 261*a - 84*a - 88*a. Calculate m(h(s)).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**2 - 5*s + 4. Suppose x - 28 = -3*x + 4*d, -2*x = 4*d + 16. Let j = -7 + x. Let l(r) = -6*r**2 - 8*r + 6. Give j*l(u) + 8*q(u).\nAnswer: -2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1767*b + 3529*b - 1756*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 945226*r - 612784 wrt r.\nAnswer: 945226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 13. Let q = m - 16. Let x = 0.051 - 0.031. Which is the third biggest value? (a) q (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7481803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 2*m - 2*m. Let s be 2 - (-1 - (-3)\/(-3)). Suppose -s*h + 4*g - 24 + 4 = 0, 4*h + 13 = -3*g. Give t(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 + 1. Determine r(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.5 - 2.5. Let v = -4\/101 + -271\/808. What is the third biggest value in a, v, -1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 10634?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18\/2*21\/(-351)*(-498)\/581\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 + (-231)\/22)*(-8)\/3. What is the highest common divisor of m and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2892*m - 2605 = 2558*m + 735 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11763?\nAnswer: 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 9*d**2 + 10*d - 4. Let g be z(-10). What is the units digit of 3\/(-12) + (-229)\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*v = 175. Let s = -23 - v. Solve t = 1 - s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/4 of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 800857613 to the power of 1\/3, to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9108 by 3036.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -35. Which is the second smallest value? (a) -1\/9 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y. Let x(t) be the third derivative of t**5\/3 + 129*t**2. Give x(s(i)).\nAnswer: 3380*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 4*c - 44 = 3*p, 3*p + 5*c - 33 = 0. Let x(q) = -q + 8. Let i = -12 - -12. Calculate the smallest common multiple of x(i) and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) -511 (c) -6 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 7 + 7)*(0*q + 0*q - q + (-1 - 2 + 1)*(-2 + 2 - q) - 259*q + 565*q - 188*q) to p*q + n + j*q**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3908 by 30625.\nAnswer: 3908\/30625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0048 + 26875.97\nAnswer: 26875.9652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4898 + -2 - (32 - 28). Let r = a - -2538. What is r rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -323 + 324. Is i > -116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**6)**(1\/19) assuming w is positive.\nAnswer: w**(-5\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3103, 3108, 3113?\n\"Answer: 5*o + 3098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 0 + 2 + c**2 - 2*c - 3. Let s be w(-1). Suppose s*r + 80 = 6*r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15261, 2\/7, -2, 1\/6, -4.\nAnswer: -4, -2, 1\/6, 2\/7, 5, 15261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 164543257247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + -15.13. Let i = -15.5 - s. Let g = -6.7 + 1.7. What is the nearest to -1 in 0.1, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 10:06 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opmbbbbpbmwobxbx. Give prob of picking 1 x and 1 p.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:08 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 343415785 divided by 5\nAnswer: 68683157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14482284.\nAnswer: 2, 3, 751, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 57965878 to the power of 1\/2, to the nearest integer?\nAnswer: 7614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3223 is divided by 129.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115937911 - -115937910.926201437. Let i = 0.0738 + j. Round i to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 3:32 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhtchyyththyyhch. What is prob of picking 1 t and 1 y?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*i**2 - 5\/2*i**3 - 8 - 18*i + 1\/4*i**5 + 3\/4*i**4 = 0. What is i?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56316 divided by -228?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47, -109, -187, -287, -415, -577?\n\"Answer: -m**3 - 2*m**2 - 49*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/325 - -143963\/650. Is 221 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311359286?\nAnswer: 2, 3, 89, 2455729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjojooojoooj. What is prob of sequence oo?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from ksttthstqk.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0086, -0.4, -1, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.999319t in milligrams?\nAnswer: 3999319000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/2229760 and 46\/335?\nAnswer: 2229760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w**5\/11 + 100*w**4\/11 - 490*w**3\/11 + 620*w**2\/11 + 640*w\/11 - 576\/11 = 0.\nAnswer: -1, 2\/3, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -329\/234 + 19\/13. Let a(z) be the third derivative of 1\/36*z**4 + z**2 + 0*z - x*z**3 - 1\/180*z**5 + 0. Factor a(m).\nAnswer: -(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 11*t - 16*t)*((2 - 2 - 1)*(-3 + 5 - 3) + 6 - 5 + 3 + 7 - 3 - 2).\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.9 - -12.9. Which is the second biggest value? (a) 3\/5 (b) -1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2 = -w, -2*w = 11*d - 6*d - 7. Let x(k) = -4*k**2 + 1. Let g be x(d). Let n = -5 + 9. Which is the nearest to 1\/3? (a) -0.08 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2347 = -2*c + 5*c, -z = 2*c - 1550. What is the remainder when c is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m + 25*m - 240 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*s - 131 + 183 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, -64, -208, -438, -766, -1204?\n\"Answer: -2*p**3 - 25*p**2 + 19*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14888132 and 2?\nAnswer: 14888132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*n - 0. Let m be (0 - -5)\/(1*n). Let u = -157 + 155. What is the biggest value in u, m, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 11:19 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 297 - 298. Is (-2375)\/(-3) - k - 8\/(-24) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - -0.65. Let s = o - 0.5995. What is s rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 41, 47, 55?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36674512 - -14?\nAnswer: 36674526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15198623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - v + 13. Let y = -20 + 26. Does 14 divide o(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-6 + -2 - -4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 10*n**2 + 8*n - 5. Let s be l(-9). Put 27, 5, s, 33, 1 in descending order.\nAnswer: 33, 27, 5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/6 + 17158*b**4 + 1324683386*b**3\/3 - 1766450416*b**2 + 5299557152*b\/3.\nAnswer: b*(b - 2)**2*(b + 51476)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42 and -0.14.\nAnswer: -5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a776 (base 15) to base 7.\nAnswer: -505623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 times 0.0207?\nAnswer: 1.3662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 - 448*n**3 - 16872*n**2 - 219040*n - 202612.\nAnswer: -4*(n + 1)*(n + 37)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -2\/9 (c) -1 (d) -27.41 (e) -0.098 (f) -0.1 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30, -27, -24, -21, -18, -15?\n\"Answer: 3*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1289389.752195 + 1289393. Let o = d - 2.207894. Let u = o - 1.04. What is u rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101964, -101966, -101968, -101970?\nAnswer: -101972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1168562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 11*k. Suppose 0 = -2*f - 2*p + p + 25, -f + p = -11. Let r be q(f). Suppose -r*s = -16*s + 4. Calculate the least common multiple of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 913 and 20763083?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*f = -4*f + 7638. Calculate the smallest common multiple of f and 30.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 11 = 3*r, r + 22 = 3*c + c. Let i be (0 + 0)\/((2 - c)*1). Solve i + 6 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -10 - 5 + 15 + 2*n**2. Suppose u + 0 = 4*f + 16, 0 = 2*u - 4*f - 16. Let g(x) = 0 + u + x + 30*x. Give g(b(m)).\nAnswer: 62*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*z = 3*h - 47, 3*z + 61 = 5*h. Let t = h + -11. Put t, 6, 4 in descending order.\nAnswer: 6, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -604?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*d - 38443, 14*d - 3*j = 10*d + 30722. Does 29 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -515 less than or equal to -531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21715*a**2 + 40*a + a**3 - 1 + 21715*a**2.\nAnswer: a**3 + 40*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-4) - 0) + -64 + 966\/24\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5373 = 164*o + 433*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 275623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1040)\/(-28) - (-1)\/(-7). Suppose 2*k + 9 = -n + 36, 5*n = -3*k + j. Solve -2 = 3*r - 2*r + w, 4*w + k = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011010110010001 (base 2) to base 6\nAnswer: -555105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afmm when four letters picked without replacement from qmfqfmfmmmaa?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 4*a**2 - 2*a**3 + 2262 + a - 2261 + 4*a**2. Let o(g) = -5*g**3 - 2*g**2 + 4*g + 2. What is o(w) - 4*r(w)?\nAnswer: -w**3 - 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 10 = 2*r, -8*h + 2*r = -6*h. Sort 0.4, h, -0.4, -9 in decreasing order.\nAnswer: h, 0.4, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 5773253 = 5772823 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 + -50. Suppose -50 - y = -5*p - 3*u, 2*p + 4*u = 50. Let a = p - 14. Solve 2*i - a = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**3 + x**3 - 3*x**2 - 2*x - 4*x**3 + 0*x to i*x + m + t*x**3 + p*x**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16577 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -52*v + 53. Calculate the remainder when q(-3) is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c - 14 = 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 887250 to the nearest 1000.\nAnswer: 887000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 739.9999683 + -740. What is i rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 564.75758 from -58.\nAnswer: -622.75758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 78643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Let s = -4.9 + o. Put -2\/9, s, 1\/8 in increasing order.\nAnswer: -2\/9, s, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 62 + 3 + -5. Suppose -62*b = -i*b - 102. What is b rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 - -120. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26669, -53540, -80411, -107282, -134153?\n\"Answer: -26871*m + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -330625 and -330626 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*1*(-1 + 0). Let x = 0 - u. What is the remainder when 5 is divided by 2 + x + -2 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**2 - h**2 - 2*h**2)*(-4 + 43*h + 42*h - 89*h) in the form g*h + y*h**3 + n*h**2 + q and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000098489103 to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 30 = -6*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1242 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -238 = -238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 3\/16*j**4 + 2\/3*j**3 + 1\/2*j - 28 + 7\/8*j**2. Factor l(c).\nAnswer: (c + 1)**2*(3*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+90036\nAnswer: 90035.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 8*x - 8. Let v be t(-9). Let f = v - -20. Solve -f*i + i + 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(416)\/sqrt(128).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 11:51 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**3 - 106*u**2 + 207*u**2 - 102*u**2 - 6*u. Suppose 0 = 3*h - 0 - 9. List the prime factors of z(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.637916 years to months.\nAnswer: 67.654992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 14*j**2 - 13*j + 2. Let y be t(-13). Let g be (-229)\/11 + y\/(-11). Let m = 9 - g. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-21) + 22\/6. Find the third derivative of a*i**2 - 5*i**2 + 6*i**4 - 4*i**2 wrt i.\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50292 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -4308 + 4364. What is the remainder when (-403)\/(-4) + (-1)\/(-4) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32 + 2\/9*o**3 + 578\/9*o + 292\/9*o**2.\nAnswer: 2*(o + 1)**2*(o + 144)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6806008 divided by 968\nAnswer: 7031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -0.7, 101, -0.4, -19 in increasing order.\nAnswer: -19, -1, -0.7, -0.4, 1, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 5*u**2 - 6*u + 4. Let g be f(-6). Suppose 4 = g*s - 8. Solve -5*n + 12 = -s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/(-45) - (-84328)\/(-1660).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.218, 0.2, -0.1, -1.\nAnswer: -1, -1\/3, -0.218, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -276 != -281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*d + 68, 5*z = 2*d + d + 81. Suppose -8*c = -3*c - z. Solve q + b + c = -q, 2*b - 12 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**5\/20 + 7*m**4\/12 - 7*m**3\/6 + 3*m**2 - m. Is g(-7) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26171632 - 3?\nAnswer: -26171635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38837727 to the power of 1\/3, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3024) - sqrt(3024)*-2)\/sqrt(7) + -2 - -3*(5 + (sqrt(147) + 2 - sqrt(147) - sqrt(147))))**2.\nAnswer: 570*sqrt(3) + 1036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 12*y**2 + 13*y + 8. Calculate the smallest common multiple of a(-13) and (-1)\/5 - 62\/(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 21 = 4*w - 7, 5*h + 18 = w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6687523565 + 5*y**2 - 6687523565.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n - 2 = 0. Suppose -z - b + 68 = 0, -12 = -z - n*b + 61. What is the remainder when z is divided by 1*6\/15*((-114)\/(-4) + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109145\/22 + -4958. Let k = w - 18\/11. Are 1 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f. Let h(i) be the first derivative of 7\/2*i**2 + 5 + 3*i. What is -6*a(j) + h(j)?\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 8:06 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 2. Let a be w(-3). Let t = a - -1. Let g = t + 2. Which is bigger: -2\/13 or g?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 4*z**2 + 2*z + 11. Let k = 67 - 62. Let h be u(k). Calculate the remainder when h*(3\/1 - (-204)\/(-16)) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 k when four letters picked without replacement from {u: 3, k: 8}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 7. Let w = r - -160. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25.15398 from -1237397.\nAnswer: -1237371.84602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 37 = 4*x, -3*x - 305*y + 24 = -308*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40 + 91*x - 874*x**2 - 38 - 190*x + 24 + 91*x wrt x?\nAnswer: -1748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - 427*f**3 - 13*f**2 + 407*f**3 to the form b + d*f**2 + u*f**3 + i*f and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 44 = -5*v. What is the highest common factor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1573 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*q = -73*q + 3*n + 1911, 3*q = 5*n + 1137. Suppose 195*v - 227*v + q = 0. Calculate the greatest common divisor of 192 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**6\/280 + 3*q**5\/70 + 11*q**4\/56 + 3*q**3\/7 + 4*q**2 - 9*q. Determine k, given that z(k) = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 6:59 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185 - 178. Let y(o) = 2*o**2 - 26*o. Let u be y(r). Are u and -83 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31333 (base 4) to base 12.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 1200 = 5*g. Suppose 3*f = -f + 28. Let v(q) = 0*q + g*q**3 - 67*q**3 + 6 - f*q. Let s(w) = -7*w**3 + 6*w - 5. Calculate 7*s(r) + 6*v(r).\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1323, -10854, -36809, -87396, -170823, -295298, -469029, -700224?\n\"Answer: -1368*l**3 - 4*l**2 + 57*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(-120) - 57\/(-190).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*k - 6*h = 415*k + 22, 3*k = -4*h - 12 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 16) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5310 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 3:30 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1827 - -1827.8. Sort -3\/4, -2\/3, y, 0.2 in ascending order.\nAnswer: -3\/4, -2\/3, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 8*f**2 + 6*f + 3. Let z be x(-7). Let p = z - 13. Let h = p - -63. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n**2 + 2*n + 5. Let b(j) = -7*j**2 - 2*j - 4. Suppose 0 = -0*g + 5*g - d - 30, 5*g - 10 = -3*d. Calculate g*f(h) + 6*b(h).\nAnswer: -2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1\/4, -7\/2, 1163, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21170870 is divided by 1614.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(99)*2 + 0.\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**7\/70 + 7*t**6\/40 - 9*t**5\/10 + 5*t**4\/2 - 4*t**3 + 2*t**2 - 7. Let l(s) be the second derivative of w(s). Factor l(y).\nAnswer: -3*(y - 2)**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**9)*p*p\/(p**(-5)\/p))**(12\/13))**(-17) assuming p is positive.\nAnswer: p**(204\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*j - 26809 + 26814 = 0, 0 = -f - 3*j + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*a**5 - 29*a**5 + 87*a**5 + (a**4 + 2*a**4 - 4*a**4)*(-11*a + 24*a + 9*a).\nAnswer: 92*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17442 and 9274248?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*l = -26 - 244. Solve -l*a + 1 = -3*t - 5, 2*a - 10 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three halves of a millennium in months?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - t + 4 = 0, 0 = -4*g + 5*g - 5*t + 20. Suppose g = 76*l - 82*l + 96. Solve l*b + 7 = 9*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -6)*(-10)\/(-4). Suppose 16 = -l + 5*q, 2*l + 2*q = g*q - 4. What is the least common multiple of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31603)\/(-374) - 80)\/(1 - (-38)\/(-32)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16 + -16 + -4 + -1. Let s(p) = -p**3 - p**2 - p - 9. Let y be s(b). Suppose -j = -c + 2*c - y, 4*j + 2*c - 390 = 0. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-45)*21\/(-28)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12113, 12138, 12229, 12416, 12729, 13198?\nAnswer: 13853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16639 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.03, 0.06.\nAnswer: 0.03, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -275.53411 + 96?\nAnswer: -179.53411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35, -41, -67, -125, -227, -385?\n\"Answer: -2*t**3 + 2*t**2 + 2*t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -17\/2, 25, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c (base 13) in base 2?\nAnswer: 1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -1\/6 (b) 0.3 (c) -322 (d) -2 (e) 23 (f) -8.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 11:53 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 15 = -25*s. Let f be (-429)\/(-13)*2\/s. Let u = f + -12. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32003 (base 4) in base 5?\nAnswer: -12044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 9:35 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138 + 140. What is the nearest to -3 in y, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0 + 1 = 3*k, -w + 7 = 4*k. Suppose -a - 3*j = -15, 0 = 2*a + j - 10 - 0. Solve -r = -k*r - a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a44 - -53a7?\nAnswer: -a648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -4)*-2*44\/(-32).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-2 + 0 - (-12)\/(144\/82))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49377 + 823 = -25*y. List the prime factors of 8\/4*y\/16*-1.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 2*d + 10 + 3)*(-28 + 15 + 33) + 0*d + 4*d - 3*d + (-d + 4*d - 4*d)*(1 - 1 - 2) + 2*d - 2*d + d + d + 2*d - d.\nAnswer: -34*d - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -621948 + 81415.\nAnswer: -540533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from pmpmpmpmpmppppmmmmmp.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3 = 3*v, 0 = 5*v - 2*v + 5*g. Suppose -v*a + 378 + 1482 = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80362275 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-240)\/25 - 6\/15. Let s = 40 + g. Calculate the remainder when 58 is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 + 132*c\/5 - 52.\nAnswer: -(c - 130)*(c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 1 (b) -43 (c) -2 (d) 3\/5 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, 2392, -375, -3 in descending order.\nAnswer: 2392, -1.6, -3, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 2*u + 17, 2 - 10 = -u - 3*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 7163 = 2*h + 23402, 6486 = 2*z - 4*h. Calculate the highest common factor of z and 1881.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 3*p - 10, 2*f - 4*p = 7*f + 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 196462*m - 1 - 589352*m + 196445*m + 196445*m - 2*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 289795078 to the power of 1\/2, to the nearest integer?\nAnswer: 17023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 693912 and 129144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5458 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: Evaluate 0 + (-3 - 4) + (0 - -2) + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 61*n = 62*n + 18, 2*x + 4*n - 18 = 0. Solve 0 = x*i - 3*y + 8, -2*y + 3 - 6 = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0*y)**(1\/2))**(-5\/14)\/(y**(-2\/7)*y**(-1\/4))**(-44\/5) assuming y is positive.\nAnswer: y**(-71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.21 - 0.01. Let k = y - -4.8. What is the third biggest value in k, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 2*r + 10, 0 = -g - 2*r - 3 + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 412216628 by -316.\nAnswer: -1304483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Let o be (-6)\/q - (3 - 22). What are the prime factors of 3*-1 - (-33 - o\/4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/7 + 1328595*m**2\/7 + 5314416*m\/7 + 759204.\nAnswer: -3*(m - 442869)*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1608, -1553, -1494, -1431, -1364?\nAnswer: -1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:08 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 5:19 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2. Suppose 2*o + 1 = 11. Let l(z) = 13*z + 7*z - o*z - z. Determine l(f(b)).\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330644 is divided by 147834?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - 2 - (-6)\/3 - -15. Suppose d*t - 25*t = -5215. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3)\/w**12)\/(w*w*w**(1\/5)*w**40*w))**37 assuming w is positive.\nAnswer: w**(-31006\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 231498532 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6145 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/9)\/g**(-29)*g**9\/g**(3\/8) assuming g is positive.\nAnswer: g**(2717\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -17*l. Let s(j) = 2*j**2 - 4155*j. What is x(s(m))?\nAnswer: -34*m**2 + 70635*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - 10010024?\nAnswer: -10010042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**3 + 2*q**2 + 26*q + 5. Let v(x) = x**3 + x**2 + x + 1. Calculate -o(w) + 3*v(w).\nAnswer: -w**3 + w**2 - 23*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 + 2*y + 4. Let l(c) = 2*c**2 - 2*c - 3. Let j be 3 - ((-4)\/(-2) + -1). Let g be 2 - 4 - (0 + j). Determine g*o(n) - 5*l(n).\nAnswer: 2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(-12) + 18\/72. Let n = 0.04 - -2.96. Which is the third biggest value? (a) n (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose q*w + 2 = 5*u - 3, -1 = 5*w - u. Suppose 4*c - 40 = -w*b + 3*b, -4*c = -b - 48. Solve 0*s - 2*s = 3*m + c, 3*s + 15 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -6. Let z = -15 + 103\/7. What is the closest to -2\/7 in -0.3, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 7*q**2 + 7*q + 3. Let n be y(8). Let s(r) = 2*r - 6. Let w(u) = 3*u - 9. Let m(f) = -8*s(f) + 5*w(f). Give m(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(26\/10 + -2). Let f(q) = q**3 - 104*q**2 + 108*q - 3. Let m be f(1). Find r, given that 37*r**2 - m*r**n + 12*r + 0*r**3 - 35*r**2 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 12*u + 3. Suppose 3*w - 3 = -u*t, 0*w = -3*w. Suppose 2*y + 4 + 0 = 0. Put -1, t, y in decreasing order.\nAnswer: t, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0*q - 2*q + 98, 52 = 2*h + 2*q. Suppose -15 = 5*r, 4*p - r = -0*p + h. Put 0.2, p, -3 in increasing order.\nAnswer: -3, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-6)*(3 - 7)*-2. Let v(d) = d**2. Let k(u) = 3*u**2. Determine f*v(x) - 5*k(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 14*c - 64. Let l(u) = 17*u + 31 - 15 - c + 23*u. Let h(q) = q. Determine 88*h(m) - 2*l(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 122720281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -4*q + 2, -3*q = 3*z + 852 - 858 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-9 - -1) - (-27 + 14 + -13)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6577, 11488, 16401, 21316, 26233?\n\"Answer: b**2 + 4908*b + 1668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, c: 1, e: 3, r: 9}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720044 is divided by 229.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010010101110 (base 2) to base 5.\nAnswer: -1143203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.1. Let u be 2*(21\/(-18))\/(-7). Let f = -0.3 - -0.4. Sort d, u, f in descending order.\nAnswer: u, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3444858982 to the nearest integer?\nAnswer: 58693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2441346600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -323 + 320. Let h(f) = -8*f - 5. Let w(x) = 9*x + 6. Give v*w(p) - 4*h(p).\nAnswer: 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 2*s - 5, 73*s + 22*k - 25*k = -9 + 85 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 3 - 1) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1798\/(10\/(-5) - -4). Let v = 1339 - s. List the prime factors of v.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.48 + -0.52. Let w = z - -21.29. What is w rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(1\/3)\/z)\/z**0)**(-17\/4))**(-1\/71))**(-16) assuming z is positive.\nAnswer: z**(136\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-4*sqrt(168)\/sqrt(3))\/(sqrt(800)*-2))**2.\nAnswer: 21\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -92ab18 (base 13) to base 12\nAnswer: -1190815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -235 + 572. Let y be (26\/6 + 4\/(-12))*(-98)\/(-196). Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1399860 divided by 16665?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*s - 6*s + 6*s to j + b*s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -51cc (base 13) to base 8\nAnswer: -26072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -44. Let r = q + -36. Which is smaller: -5\/4 or r?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 771 = -5*d, 139 + 249 = s + 5*d. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9202502*l**5 + 1308383*l**2 + 4 wrt l.\nAnswer: -552150120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 344126\/17 or 20243?\nAnswer: 20243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-74))\/((-285)\/(-25365)*-89)?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49.48714l?\nAnswer: 49487.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9253*u - 138792. Let i be g(-15). What is y in 4\/3*y**4 - 22\/3*y**2 - 8\/3*y + 2\/3*y**i + 8 = 0?\nAnswer: -2, -3\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.061657 to 4 dps.\nAnswer: 0.0617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*j + f, -3*j - 3*f - 2*f + 25 = 0. Let q = -5 - j. Let a = 45.184 - 43.184. What is the closest to -0.3 in a, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -488.8608 from 0.403998.\nAnswer: 489.264798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 91541 and 2.\nAnswer: 183082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10902 - 10900. Which is the second biggest value? (a) 4\/5 (b) 4 (c) -4 (d) z (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d - 6*d - 6*d + 3*d - d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, p: 1, y: 2, a: 6}. Give prob of sequence ryaa.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2. Let h(s) be the first derivative of -5*s**2\/2 - 27. What is c(h(r))?\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2 - 5 - v**3 - 4*v + 9 - 5*v**2. What are the prime factors of a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/5))\/c*c*((c*c\/(c*c*c*c\/c**1)*c)\/c)\/c*(c**(2\/7))**11 assuming c is positive.\nAnswer: c**(61\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277672 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 299*q - 301*q - 27 = 0, 15 = 3*t - q. Let a(n) be the third derivative of 5\/14*n**t + 0 + 1\/140*n**5 + 3\/28*n**4 - 41*n**2 + 0*n. Factor a(r).\nAnswer: 3*(r + 1)*(r + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58681 divided by 7.\nAnswer: -8383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 201 + 72 = i, -2*i + 91 = x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 14\/539179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2007 (base 14) in base 2?\nAnswer: 1010101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 398.7117l in millilitres?\nAnswer: 398711.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7680 - -40?\nAnswer: 76c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v - 2*v - 4*v + 2*v. Let r(m) = -m - 1. Let f(p) = 4*p**2 - 12*p - 12. Let w(k) = -f(k) + 12*r(k). Calculate n(w(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/12 + 12\/16. Let y(i) be the third derivative of 0 + 1\/6*i**4 - t*i**3 + i**2 - 1\/30*i**5 + 0*i. What is w in y(w) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*i + 71 = -0*c, 0 = -5*c - i - 149. Let n = 51 + c. Suppose h + 0*h - n = 0. What is the smallest common multiple of h and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -69 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21703469387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73005497\/1107 + 65949. Calculate the common denominator of 27\/4 and j.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-8) - (19 - ((-180)\/(-48) + 14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10*c + 7*c - 87 = 0, 0 = 4*o - 2*c - 82. Solve -2 = -2*u + 4*r, -2*r = 2*u + 4 - o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -579.3355444 + 0.0491444. Let d = -577 - j. Let a = 2.3 - d. What is a rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 958 = -287*f + 344*f - 353 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gaczugta?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1539) + sqrt(1539) + sqrt(1539) - sqrt(57)\/(-1*sqrt(3))) + 1.\nAnswer: 3 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -7*o + 15. Solve -5*i = o, 0 = j - 0*j - i - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92122?\nAnswer: 2, 46061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*p, -4*p - 4*o = -3*p. Suppose p = -j + 8. Calculate the remainder when 35 is divided by j\/3*9\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -132133740 to the nearest one hundred thousand.\nAnswer: -132100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6825591 is divided by 924?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1182 divided by -23\nAnswer: -1182\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118655 - 48376. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*s = 79*s - 36. Put -4, s, 5, -3 in ascending order.\nAnswer: -4, -3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -28*n**5 + 52*n**4 + 120*n**3 - 208*n**2 - 32*n = 0?\nAnswer: -2, -1\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -57301 (base 9) in base 2?\nAnswer: -1001010100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-153)\/459 + (-6682)\/(-3).\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -11*k + 16*k. Suppose -k*j + g + 14 = 0, -2*j - 9 + 0 = 3*g. Suppose j*q + 195 = 4*o, -3*o - 2*o = -2*q - 249. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37081, 37078, 37073, 37066?\n\"Answer: -z**2 + 37082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 6. Suppose 4*u - 32 = -4*n, 5*n - 2 - 8 = 5*u. Suppose 0 = 4*h - 4*z + 32, 3*h + u*z - 6 + 18 = 0. Determine j(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + -0.7. Let n = o + -0.2. Which is the closest to 0? (a) 0 (b) n (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 = -14. Suppose -3*l + 2*i = -8, -3*i - 6 = -3*l - 3. Suppose l*r - 3*r = 84. Solve -5*g = 5, 5*f + r - 9 = -w*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -51. Let x be 55 - (-3 + 3) - 1. Let n = x + p. Calculate the remainder when 30 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cb (base 13) to base 8\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -20*n. Let z be f(-3). Let x = z + 34. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 bigger than 4500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 1\/(40\/(-300) - 3853\/(-28860))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222061 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10*i + 19*i - 2*i**2 - 9*i + 4*i**2 - 3*i**2 + 8. What is u(20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -608, -605, -602, -599, -596?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2. Let r(d) be the first derivative of -1 - 1 + 1 + 0*d**2 + 2*d**2. Give i(r(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**6\/1440 - r**5\/240 - r**3\/3 - 3. Let y(z) be the third derivative of p(z). Let y(x) = 0. Calculate x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = 5*s + 33, 0 = 3*s + 15. Suppose u + 12 = -5*v, -q*u - u = -5*v. Suppose -4*x + 0*x = 4*i + 8, -4*x = 8. Is u smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -27. Suppose 84 = y*o - 6*o. Is o less than -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(768) - sqrt(768))*-1 - 1*(sqrt(768) + sqrt(768)*2 + sqrt(768) - sqrt(768)))\/(((sqrt(72)\/sqrt(2))\/sqrt(6) + -6*sqrt(24))*2).\nAnswer: 4*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(sqrt(5)*1 + -3).\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-14 - 95160\/(-7104))*12\/(-63) and -127\/6.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80.6 + -520.6. Let a = f + 432. Let d = 8\/11 - 61\/99. Sort d, 0, 5, a.\nAnswer: a, 0, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 4*n**2 - 2*n**4)*(4 + 3 + 7 + 2 + 1 - 2 + 4 - 2 + 0 + (2 - 1 + 1)*(0 + 2 - 3)).\nAnswer: -30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684 = -31*y + 12*y. Let z be ((-1)\/(-5))\/(y\/540). Factor 4\/3*h - 1\/6*h**2 - 5\/6*h**z + 1\/6*h**5 + 1\/6*h**4 - 2\/3.\nAnswer: (h - 1)**3*(h + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -9.1. Let r = 3.9 + f. Let q = 1 + -0.7. What is the second biggest value in r, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f - 8 = 0. Let d be (3 + -1 - 0)\/4. Which is smaller: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*j + 38 = 4*n, 26 = 5*n + 2*j. Let i = -2 + n. Solve i*c = -2*z + 2, -1 = z + 3*c - 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.056 + 0.04. Let k = n + 19.116. What is k rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385, 770, 1155, 1540, 1925, 2310?\nAnswer: 2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 9*d**2 - 10*d - 34. Let o be b(-10). Sort 2, 0.4, o in ascending order.\nAnswer: o, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 630 and 65?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4734*r**3 + 1029*r + 13851*r**3 - 1029*r + 6682*r**3 + 2.\nAnswer: 15799*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8962 = -5030. Let x = 5098 - o. Suppose -2*g = -4*g - x. What is g rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83457900 to the nearest integer?\nAnswer: 9136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {r: 1, z: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5 + (-12)\/(-30) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*x - 6120090 = 21*x. List the prime factors of x.\nAnswer: 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**3 + 2*f**2 + 5*f + 4. What is the remainder when 12 is divided by t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11715, 101928, 349103, 831720, 1628259, 2817200, 4477023, 6686208?\nAnswer: 9523235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 342.3443 minutes?\nAnswer: 20540658000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2324209*l**2 - 21*l + 21802.\nAnswer: 4648418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 263820*i**2 + 826322*i?\nAnswer: 527640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 454, 3573, 12010, 28423, 55470, 95809, 152098, 226995?\n\"Answer: 443*u**3 + u**2 + 15*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*x - 21. Suppose 0 = 3*n + 5*l - 37, -x*n = 2*l - 0*l - 31. Suppose -20*i + 23*i - n = 0. Calculate the greatest common divisor of 9 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-14)*z)\/(z*z**(-6)))\/(z**(7\/2)*z**(2\/39)\/z))**(-2\/53) assuming z is positive.\nAnswer: z**(745\/2067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3 + 180*y**2 - 660*y + 640 = 0. Calculate y.\nAnswer: 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**5\/20 + 5*k**4\/12 + 2*k**2 + 418*k. What is t(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 120 + 133 = -3*f, -3*k - 3 = -3*f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13567705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.94 and -0.2?\nAnswer: 0.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 41*q - 30. Let b(h) = h - 1. Let s = -135 - -139. Let i(t) = s*b(t) - z(t). Differentiate i(o) wrt o.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 20*x + 12. What are the prime factors of q(-13)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75970 is divided by 883?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 10) + 16 + -9 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -1\/6*r**3 + 0*r**2 + 0*r**5 + 0*r**4 + 1\/30*r**6 - r + 0. Find the second derivative of g(q) wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.415 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 385*t - 771. Let z be q(2). Is z smaller than 1\/3550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 6. Let u be g(4). Let s = -35 + u. Suppose 5*n = 10, -h + 7 = s*n + 3. Let z(i) = -2*i**2 - 3*i - 1. Calculate z(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-14)*x*x)**(-1\/14) assuming x is positive.\nAnswer: x**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2. Let x(r) = r**2 + 7*r - 7. Let y(f) = f. Let i be y(5). Let s(p) = -p + 1. Let d(c) = i*x(c) + 35*s(c). Calculate j(d(t)).\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020002424 (base 6) to base 2.\nAnswer: 101000100101001101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2997 + 3112 - (-2 - -130).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133 by -3.\nAnswer: -133\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -4*d**2 + 5*d + 733. Let m(w) = -9*w + 6. Let z = 20 + -14. Determine z*m(b) - 7*v(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-536648)\/(-444) + 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 927 in 1, 4, -4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4035 and 4108437?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -93 (b) 0.6 (c) 1\/5 (d) -1.67 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 69*o**2 + 11 - 41*o**2 - 39*o**2 - o**3. Let i be z(-11). Suppose -i - 17 = -2*q. What is the highest common divisor of 98 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = c + 4*u, 0*c + 1 = -2*c - 3*u. Let q = c + -5. Let m = 2 + q. Which is smaller: m or 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*i - 130 = 0, y + y - 45 = -5*i. What is the remainder when y is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5405669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -23*k + 3504. Let j = k + -144. Solve -4*b + q + 6 = -j, -q + 1 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-27)\/(-24) - (-6 + 4) and 41\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1032)\/(-430))\/((-12)\/(-90))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7935269317403 take away -4?\nAnswer: -7935269317399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/94962735 and 47\/2268?\nAnswer: 3418658460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 + -5.09. Let d be 800\/1856 + (-8)\/(-116). Which is the nearest to y? (a) d (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 - 14*j - 31. What is p(9)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -25, 6, -4, -12.\nAnswer: -25, -12, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(72) - sqrt(20)\/sqrt(250)) + (sqrt(48)\/sqrt(2))\/sqrt(12) + -2*(sqrt(2) - sqrt(8) - sqrt(2)))**2.\nAnswer: 5832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 146*j + 5778. Is 3 a factor of a(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 318 + -199. Let i = u + -116. Which is the closest to 3? (a) 1 (b) 15 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 15 = -4*t - b, 20 = -5*t + 4*b. Let r = -121 + 121. Solve -o + 4*i = -r*o - 9, t = 4*o + 5*i - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 519354432 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289126468.\nAnswer: 2, 23, 89, 35311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**2. Let v be (-68)\/6 - 5\/(-15). Let l be 26\/143 - 31\/v. Let b(r) = l*r + 0*r + r - 6*r. Determine s(b(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6937278 and -0.1.\nAnswer: 693727.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5 = -s + r, -s - 277 + 272 = r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-90)\/45*(-10)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78336 and 203584?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -134002110?\nAnswer: -134002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 751, -1998, -4745, -7490, -10233?\nAnswer: -12974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77975, 155852, 233729, 311606, 389483, 467360?\nAnswer: 545237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 102*g**2 + 369*g + 270.\nAnswer: 3*(g + 1)*(g + 3)*(g + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 18)*27\/(-81). Is -72\/19 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**3 + 374*k - 132*k + 7*k**3 - 173*k in the form j*k + i + p*k**2 + z*k**3 and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6149, -6365, -6929, -8015, -9797, -12449, -16145?\nAnswer: -21059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3311102 (base 4) to base 2\nAnswer: -11110101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17155 + 17160. Solve 6*u - 45 = -3*f, f = -3*f - y*u + 45 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3477 at most as big as 62603\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -918 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*q**4\/5 + 197994*q**3\/5 + 21356694*q**2\/5 - 232843842*q\/5 - 1920996 = 0 for q.\nAnswer: -231, -3\/73, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14008, -13898, -13788?\n\"Answer: 110*p - 14118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*h**4 - h**2 + 163*h + 1277 wrt h?\nAnswer: 44*h**3 - 2*h + 163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t**3 - t**2 + t - 4. What is the units digit of j(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let z be 6 + 4 - -4 - 1. Let m = -2 - z. What is the remainder when 44 is divided by a(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21228750 a multiple of 1275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + -9.6. Let z = 178753 - 178759. Which is the fourth smallest value? (a) y (b) z (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p + 9. Let n be b(9). Suppose -606 = -4*h + 42. What is the units digit of (h\/n)\/(1\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, a: 1, u: 2, l: 3, t: 2, f: 4}. What is prob of picking 1 l and 1 f?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -19\/8*q**4 + 0*q + 5*q**2 + 65\/6*q**3 + 0. Find the first derivative of c(d) wrt d.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 8 = -8. Let x(k) = 12*k - k**3 - 9*k**2 - 2*k**q - 3*k + 19. What is the remainder when x(-12) is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i**5\/13 - 3642*i**4\/13 + 241478*i**3\/13 - 4855518*i**2\/13 - 4145040*i + 2003313184\/13 = 0.\nAnswer: -17, 101\/3, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 62 = -59, -2*b - 637 = -5*p. What is the remainder when 380 is divided by p?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w + 9. Let c(u) = u + 1. Let h(s) = 12*s - 1. Let k(j) = 4*c(j) - h(j). Let a(b) = -9*k(b) + 5*p(b). Let n(o) = -2*o**2. Give a(n(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 less than or equal to 767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**5 - 21744*j**4 - 2082152*j**3 - 56756880*j**2 - 302721300*j = 0. Calculate j.\nAnswer: -5339, -45, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-2\/3)))\/z)**(39\/4)*(z\/z**(-5))\/z**(-4\/11)*(z\/(z\/z**(-1\/2))*z**(3\/5))\/(z**(3\/11)*(z\/((z\/z**(-2\/9))\/z))\/z) assuming z is positive.\nAnswer: z**(6263\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*d - 37*d + 18*d)*(-88 - 104 + 7 - 29 + 29).\nAnswer: 23125*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65*s + 2*s**2 - 2 + 65*s)*(-224 - 113*s + 224) to d*s + q*s**2 + j + u*s**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = x + 9. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 - 2 + 8*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 108333 - -1295.\nAnswer: 109628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.7? (a) 2\/15 (b) -3 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -79*t - 235. Let z be s(-3). What is w in 8\/9*w - 2\/3 - 2\/9*w**z = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67537\/328 - 1625\/8. Which is greater: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) 3 (b) 0 (c) -3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -26) + (-26 - -30).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 68 = 3*l - 7*r, -2*l = -5*r - 17. Let t(w) = -w**3 + 22*w**2 - 500*w + 13160. Let d be t(24). Solve y - d*y = -l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/252933487 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 + 84 = -2*s + w, 3*w = 4*s - 27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/1445 and 41\/425?\nAnswer: 7225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*w + 4719*w = 16304 + 104998 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 - 1 - 2)*(-l**4 + l**4 - 4*l**4) - 4*l**4 + 5 + l**3 + 9*l**4 - 4 - 2*l**2 + (2*l - l**4 - 2*l)*(1 - 1 + 2).\nAnswer: -213*l**4 + l**3 - 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000082 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18556 - 18550. Solve -m = -0*m - r + j, 0 = -3*m + 5*r - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 800 and 5380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/4 - 128046*q + 256089.\nAnswer: 3*(q - 170726)*(q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 111001010100111000 (base 2) to base 7\nAnswer: 1665400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2193594 and -8\/15?\nAnswer: 10967970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. Let s be 5\/(((-1)\/(-19))\/r). What is the greatest common divisor of s and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 5*i**2 + 4*i + 4. Let q be l(4). Suppose 4*u + 0*u = -q. Is u + (-3 - (-123)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-43392)\/565)\/192)\/(1*1\/185)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*o = -16, -5*y - 22 = 5*o - 62. Suppose f + 2 = 5*b + 4, b = 0. Suppose f*z - 1 = 3. What is the highest common divisor of z and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*p - 1 - 21*p + 45*p + (-2 + 3 + 0)*(-2*p + 1 - 1) in the form w*p + q and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 540114217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927.7724 meters to kilometers.\nAnswer: 0.9277724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*r + 3*c + 937, r = 4*c + 195. Let k = -182 + r. Sort 1, 2, k, -17.\nAnswer: -17, 1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26512.5 - -26513. Let b be (-4)\/(-2)*(-2)\/(-4). What is the nearest to 0 in -0.23, q, b?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -212*z + 12937. Let l be i(61). Let n = -0.1 - -0.3. Which is the nearest to 0? (a) l (b) 1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8482.2 and 330.8292.\nAnswer: 8813.0292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-56) - 12\/(-21). What is the hundreds digit of (t + -3)*8205\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*-2)**2 + -1.\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 5*b + 10, b = -2*p - 3*b + 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/5*180\/4. Suppose -12*b = -16*b - k. Let t be (-2)\/9 + (-6)\/b. Solve -2*z + 4 + 0 = t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 11:41 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00119979 to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2698 is divided by 88.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 13*z**2 - 2*z. Let w = 1 - 0. Let l be m(w). Suppose 8 = -2*y - 2, -5*y - l = 2*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4666825150.\nAnswer: 2, 5, 13, 479, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -31764 less than -73903?\nAnswer: -42139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -2, -0.081, -38?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*x**2 - 17 + 17 - x**2 + 1 - 1 + (-x + 0 + 0)*(0*x - x + 0*x) + 3*x**2 - 6*x**2 + x**2 - 1276 - 121*x**2 + 1276 as n*x**2 + u + h*x and give n.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6351398.\nAnswer: 2, 617, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11321 - 4*m**2 - 3*m**2 + 11322 + 15*m to i*m**2 + t + k*m and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -14) + (3 - (-45 - (1 + 2)) - 3)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b**2 + 4*b + 2*b**2)*(-3*b + 9 - 9)*(0*b**2 + b**2 - 5*b**2).\nAnswer: 24*b**5 + 36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 6*k**2 - 3. Let s be b(-4). Sort -4, s, 0 in descending order.\nAnswer: s, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 75, 83, 95, 111, 131?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4*v**7*v*v assuming v is positive.\nAnswer: v**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, w: 1}. Give prob of picking 1 m and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 27*j**5\/4 - 53*j**4\/2 - 1979*j**3\/4 - 829*j**2\/2 + 863*j + 66 = 0?\nAnswer: -6, -2, -2\/27, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 4. Let d be h(-4). Let g be 1\/d + (-45)\/140. Let v = 0.394 + 4.606. Which is the nearest to -2? (a) v (b) g (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 443, 13, 0 in descending order.\nAnswer: 443, 13, 6, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -851, -1604, -2343, -3062, -3755, -4416?\n\"Answer: u**3 + u**2 - 763*u - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44029 - ((-8)\/5)\/(-5 + 1278\/270)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + n + 4*j + 21, 0 = n - 3*j - 20. Calculate the highest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(3)*3 - (sqrt(3) - sqrt(75))*2*6)**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Let d(l) = 11*l + 2. Give d(p(o)).\nAnswer: -11*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 - 8*r + 2. Let k be y(3). Suppose -k*n = -2*h + 38, -2*n = -n + 2. Let s = -13 + h. Solve -4*w = -4*q + 4, -2*q = -5*w - 0 + s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 10. Let c(u) = -6*u + 19. Let d(i) = 11*a(i) + 6*c(i). Let q(m) = -m + 1. Give d(g) - 2*q(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 65 = 3*d + 21, 3*b = -d - 7 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-1980)\/2310*(-2)\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6 + 4*j**2 + (-219 + 219 + 374*j)*(-j - 3 + 3) to the form d + a*j + l*j**2 and give l.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**4 + 30540*o**3 - 122211*o**2 - 30540*o + 122208 = 0. What is o?\nAnswer: -10184, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22170*m + 23 = 8*r - 22171*m, -r = m + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 2. Let b be m(3). Let i(y) be the first derivative of -b*y - 1\/2*y**2 + 1. Let s(j) = -2*j - 7. Give -11*i(g) + 6*s(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 0, -5*l = 3*w - w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a meter in centimeters?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x - 28*x - 585 = -55*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -399488 at most as big as -401314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.7216 + 0.0216. Let m = r + 26. What is the biggest value in 20, 2\/5, -0.4, m?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*f - 421 = 750, 4*s + 4*f = 2340. Let r = -393 + s. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -11, -40595, -2\/9 in ascending order.\nAnswer: -40595, -11, -5, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/2 + 75*o - 152 = 0. What is o?\nAnswer: -152, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.277498 and -79.\nAnswer: -21.922342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**3 + 2*c**2 - 1. Let a be (-24)\/18 + (-4)\/(-3) + -1. Let p be w(a). Are p and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 369 + -382 + -1 + -5 + (104 - -3).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(20))**2)*-4.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3823*r + 3828*r = 13, 0*r + r + 25 = -13*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, e: 5, n: 8}. What is prob of sequence enn?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -1566*49\/(-6174)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.9 + -115.1. Let d = -126.00613 + -0.04387. Let y = h - d. Which is the closest to -2\/7? (a) y (b) 2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -51.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 11*x**2 + 16*x + 14. What are the prime factors of n(12)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7217 = 5*f - 2*c, -2*f + 2*c + 2882 = -0*c. List the prime factors of f.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*q**3 - 60*q**3 + 65*q**3 + 0*q**3 - 2*q**3 + 4*q**3 - q**3 - 3*q**3 + 3*q**3 + (q + 0 + 0)*(0 - 2*q**2 + 0).\nAnswer: -56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2724)\/(-900) - -19 - 22.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42038 + 9080147\/216. Find the common denominator of n and 49\/297.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 7.7. Sort 0.5, a, 1, 2 in descending order.\nAnswer: 2, 1, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -29*o**2\/2 + 226. Let y(n) = 9*n**2. Give b(y(c)).\nAnswer: -261*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-8))\/((-1)\/(-12)). Suppose 2*d + 0 = -4, z*j - 5*d = 67. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 3, 5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -123*t - 5650. Give z(-46).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1646*p - 1039*p - 8498 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 226 * 125.\nAnswer: 28250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 307416482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3774113694.\nAnswer: 2, 3, 13, 16128691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/9177 and 53\/161?\nAnswer: 9177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4 + 4)*(0*l**3 - 5*l**3 + 3*l**3) + (29*l**2 + 142*l - 142*l)*(15*l**2 - l**2 - 6*l + 4*l**2) + l**4 - 2*l**4 + 2*l**4.\nAnswer: 521*l**4 - 174*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.449461 to three decimal places.\nAnswer: 1.449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 47*g**4\/4 - g**3\/3 + 17. Determine q(1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**6\/72 + 11*b**3\/3 + 18. Let k(m) be the third derivative of y(m). Let u(z) = -3*z**2. Give k(u(s)).\nAnswer: 45*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/((j*j**(-2\/37)*j*j)\/j)))\/(j\/j**(-21))*j**(-1\/4)\/((j**(2\/5)\/j)\/j) assuming j is positive.\nAnswer: j**(-14581\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.44 * -1.35.\nAnswer: 0.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**(-13\/5))*l\/((l*l**(2\/39)\/l)\/l)*((l*l*l**(12\/5)*l)\/l)\/l*(l*(l**(-2\/11)\/l)\/l)\/l assuming l is positive.\nAnswer: l**(1216\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**5 - 3*d**3 - 11*d**2 - 3*d - 3. Let g(t) = -t**5 + t**3 + t + 1. Let v(x) = a(x) + 3*g(x). Find the third derivative of v(p) wrt p.\nAnswer: -480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-1*(-7)\/(-21)*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**6\/21 + 2*b**5\/35 - b**4\/14 - 2*b**3\/21 + 6. Solve i(h) = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsdtuussusdsuj. Give prob of picking 1 t and 3 u.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - (24 + 57 - 87)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -21. Suppose 8*f - 3*f - a = 0. Suppose -5*d = n - 3599999, -f*n + 1538365 = 2*d + 98367. Round d to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -25*b + 6. Determine p(3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/((-14)\/8)*1053\/(-4). Suppose 6*z = -3*z + v. Does 23 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -61*b**2 + 81*b + 5. Let s(k) = 2 - k - 2 + 0 - k**2 + 1. Let y(t) = -5*s(t) + z(t). What is the second derivative of y(d) wrt d?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-51030)\/(-294))\/45)\/((-54)\/882)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264213205?\nAnswer: 5, 167, 316423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.53, 10, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/6*(-12)\/6. Let s(j) = j**3 - 12*j**2 - 12*j - 7. Let a be s(n). Solve u = h + a - 0, -4*h + 3 = 5*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39d1 - 0?\nAnswer: 39d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63.2 + 33. Let y = n - -30. Which is the third smallest value? (a) -1 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46084527439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 2\/11, -613\/330?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -389.67 + 390. What is the second biggest value in m, 4\/9, -15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofoqfffqfooo. What is prob of sequence ffo?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 4, 1 in increasing order.\nAnswer: -4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 2:29 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:12 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 8:53 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-21)*((-1400)\/125)\/56*45\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + o - 15 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*y**4 + 68287685*y**3 - 58290107569200*y**2 + 14572522624320*y = 0. Calculate y.\nAnswer: 0, 1\/4, 1707192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.037 - -5.013. Let r = -7 + m. Let i = r + -0.05. What is the closest to 1 in i, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7045109 greater than or equal to 7045011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -79860 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = -4*t + 22, 9 = t - 4*d. Let q(z) = -z + 7. Let l be q(t). Solve 2 = 2*r - l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -22*z**2 - 34*z. Let l(a) = 2*a**2 + 3*a. Suppose -3*t + 204 = -0*t. Let h(v) = t*l(v) + 6*s(v). Let u(r) = -2*r. What is h(u(q))?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 879.5856 kilograms to grams.\nAnswer: 879585.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y. Suppose 0 = 13*j + 2207 - 2714. Calculate the lowest common multiple of o(2) and j.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70579 is divided by 499?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 512960047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*q**4 + 79574*q**3 - 1235*q**2 - 1604 wrt q.\nAnswer: 96*q + 477444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2\/11 + 12*g + 7904\/11 = 0?\nAnswer: -38, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*w - 35. Suppose -w*l = 3*m - 1, 3*l = 3*m - 12 + 3. Sort 1, -4, m in increasing order.\nAnswer: -4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 138, 136, 132, 126?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7694 or -7313?\nAnswer: -7313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 155 + 19 = -5*d, -4*d - l = -106. Let b = 115 + -78. Let w = b - d. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 19. Let w(s) = s + 9. Let o(q) = 2*g(q) - 5*w(q). Calculate o(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*c**2*d**3 + 8*c**2*d - 125*c**2 + 959855*c*d**3 wrt c?\nAnswer: -144*d**3 + 16*d - 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3128, 6216, 9280, 12320, 15336, 18328, 21296?\n\"Answer: -12*s**2 + 3124*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -215 divided by 45\nAnswer: -43\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**7\/1260 - b**4\/12 + 4*b**2. Let c(t) be the second derivative of r(t). Let p(z) = 2*z**2. Determine c(p(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -11*q + 15*q. Suppose q*r - 30 = -3*r. Suppose -2*n = -4*n + r. Solve l - 12 = -4*y, n*y + y = 3*l + 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 - 7*o + 4. Let c be j(4). Let l be 14\/(-35) + 182\/5. Let d = l - -24. What is the highest common divisor of d and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 847526.5 litres to millilitres.\nAnswer: 847526500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 4\/5, -1, 2\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4855 + 133549176?\nAnswer: 133544321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 63. Let c be (-1450)\/(-12) + (-8)\/z. Let g be c\/(-264) + 1\/3. Do g and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -340656 - -2?\nAnswer: -340654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -16*h**2. Let c be -12 + 10 - (-1)\/(1\/(-4)). Let x(t) = 6*t + 13. Let j(m) = m + 2. Let s(u) = c*x(u) + 39*j(u). Give s(k(l)).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010 - 110010001101011001?\nAnswer: -110010001101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 7*q**2 - 9*q + 5. Let f be b(8). Suppose 2*j - 4*a = 68, -4*j - 3*a = -8*j + 161. Let x = 48 - j. Put f, x, 8 in descending order.\nAnswer: 8, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 6*h - 1. Let w be y(6). Does 7 divide 17 - (0 - 3\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1723\/3 or 574?\nAnswer: 574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1272653 (base 9) to base 11.\nAnswer: 437013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/10 and -51\/992.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/((-3)\/((-15)\/(-1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125 + -88. Let s = 22 - 9. What is the remainder when g is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l, -26*o + 0*l = -0*l + 2*l - 130 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c**2 + 30*c + 16. Let n(o) = -11*o**2 - 45*o - 24. Let v(j) = 5*n(j) + 8*q(j). What is the hundreds digit of v(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625 - 2507 = -224*x + 1478 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 121*y - 279239 - 362787. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/7*(-14)\/2)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**3 - 22*c - 2. Let z(b) = -4*b**3 - 24*b - 2. Determine 5*j(x) - 6*z(x).\nAnswer: -x**3 + 34*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000031818924 to seven decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u = -41. Let l(t) = -t**3 + 66*t**2 + 211*t - 253. What is the remainder when u is divided by l(69)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110758 - -196079. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 18*g - 14*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119 + 31. Let y = 7 - b. Suppose 0 = 4*r - 9*r + y. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/13532648 and -21\/147094.\nAnswer: 13532648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:56 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**3 - 3*x**2 - 6*x. Let b be u(-3). Calculate the highest common divisor of 120 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -610 + 615. Put q, 145, -3 in increasing order.\nAnswer: -3, q, 145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/13 - 36\/65. Let j = -5.923 - -1.871. Let x = j - -0.052. Put -5, c, x in ascending order.\nAnswer: -5, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 - -105. Let d be 4\/(-10) + (-13)\/(-20). What is the nearest to d in 0, -1\/2, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*a - 72 = 356*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + w = 1, 3*v + 0*v - 4*w = -13. Suppose -2 = -q + v. Let r be 14\/3 + 1\/3. Solve -q*s - 37 = r*t, -1 - 13 = s + 2*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172151 divided by -69?\nAnswer: 172151\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -20*q**3 + 24*q**2 - 26*q + 4. Let h(j) = -7*j**3 + 8*j**2 - 9*j + 1. Let u(l) = 11*h(l) - 4*m(l). Let a be u(5). Suppose 4*r = r + a. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 121 = -5*f - 99, 9*f - q = 42 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15251 - -5?\nAnswer: 15256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q + 168. Let a be r(-29). Let f = 175 + a. Calculate the lowest common multiple of 3 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 70 = -12*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-52)\/(-234))\/1.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 + 1180*t\/7 - 15002\/7.\nAnswer: -2*(t - 577)*(t - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80894155.\nAnswer: 5, 16178831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 513, 515, 517, 519, 521, 523?\n\"Answer: 2*x + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1041, 3, 4, -0.2?\nAnswer: -1041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 146, 143, 140, 137, 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24912 and 2544.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 3*n**2 + 2*n - 4. Let l be j(-2). What is the common denominator of 472\/(-24) + (-2)\/l and 35\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073432.\nAnswer: 2, 109, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/5 (b) 1 (c) -1 (d) -0.001\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 3. Let l be y(-4). Factor 9*a**4 + 7 + 3*a**2 - 6*a - 30*a**2 - 3*a**3 - 3*a - l.\nAnswer: 3*(a - 2)*(a + 1)**2*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3822\/156*(-1)\/((-5)\/((-20)\/(-7)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 24*a**3 - 2*a**2 - 7*a - 6. Let j(q) = 22*q**3 - 3*q**2 - 8*q - 7. What is -5*j(w) + 6*z(w)?\nAnswer: 34*w**3 + 3*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 255 + -248. Let b = 40 - 34. Let d be 5\/(20\/b)*(-364)\/(-6). What is the greatest common factor of o and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - s + 100, -132 - 68 = -5*k + 5*s. Find the common denominator of -49\/12 and 94\/126 - (-5)\/k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -620 divided by 124\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/72 + (-5503832)\/(-63792)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 4*y - 5*y + (2*y - 4*y + 3*y)*(0 - 2 + 1) - 2*y + 2*y - y)*(y**4 + y**3 - 2*y**4 + 0*y**3).\nAnswer: 5*y**5 - 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 5 = 3*z - 28, 0 = -3*z + 5*x - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 108. Let w be ((-120)\/50)\/((-1)\/c). Calculate the highest common factor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3 + (-2 - 3 + 3)*(2 - 4 + 3) + 5 + 0 - 3)*(10*t - 4*t + 2*t).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.19 - -1.09. Let r = 0.1 - 0.1. Which is greater: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8385 divided by 13.\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 + 9\/2. Let a(k) = k**3 - 8*k**2 - 11*k + 13. Let f be a(9). What is the biggest value in j, -3, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 16. Let t(p) = 9*p - 132. Let i(n) = 33*r(n) + 4*t(n). Let y(c) = -13*c + 1. Let l(m) = -m + 1. Let x(u) = -l(u) - y(u). What is i(x(g))?\nAnswer: 42*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = c + c. Suppose -2*v = 4*i - 36, 67*i = 71*i - 4*v. Solve -o - r - c = 0, o + r = -r - i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*u + 382133 + 741217. What are the prime factors of u?\nAnswer: 5, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1813 + 0.5.\nAnswer: -1812.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30090 divided by 4.\nAnswer: 15045\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 32460.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 + 13*c**2 + 7*c - 6. Let z(r) = -r**3 + 6*r**2 + 3*r - 3. Let j(a) = 2*x(a) - 5*z(a). Calculate j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 70*h - 9292. Calculate u(135).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*(-31)\/(-248).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 11*i + 13. Let s be j(4). Let y(w) = 25*w**2 + 15*w - 15. Is y(s) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.225884073 rounded to 4 dps?\nAnswer: -1.2259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 55 + 247*r**2 - 495*r**2 + 251*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 245 - 25*l + 28*l + 243 to z*l**3 + f*l**2 + s + x*l and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2922 is divided by 163?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (-1 + sqrt(1584) - (sqrt(11) + sqrt(11) + 2*sqrt(11) + -1))).\nAnswer: -4 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 5*w - 1. Let b be m(-4). Suppose 5*y = -4*t, 2*t + b*y = -0*t. Suppose t*l = -l + 17. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42*(76\/(-24) + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (-2 + 0)) + -29 + 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56\/5? (a) 1\/2 (b) 0.7 (c) -1 (d) 3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:41 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3546.49 in -1\/4, 1\/4, 2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2 + 4, -3*o = -4*m - 44. Let t be 21\/(-12) - 4\/o. Let n be (-2 - -1)*(-12)\/(-28). Sort t, n, 0.\nAnswer: t, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10*z - 120 = 0. Let u be (-4)\/(4*2\/(-4)). Suppose -4*f - u*j = -0*f - 478, -j + 599 = 5*f. Calculate the highest common factor of f and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31368 + 54827. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/706130 and -187\/4236780.\nAnswer: 4236780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -4. Let o be (-6)\/2 - 778\/10. Let h = -80 - o. What is the second smallest value in d, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 48.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 2*c**2 + 0*c - c - 1. Let k be q(2). Let x = 3 - 6. What is the second smallest value in x, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12379*k - 228 = 12265*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c\/(c\/(c\/(c*c**3)*c))*c*c)*c\/c**1)**23 assuming c is positive.\nAnswer: c**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7573234 + -14?\nAnswer: -7573248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 46462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awam. What is prob of picking 1 a and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93505787?\nAnswer: 23, 4065469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*d + 57, 3*d - 9 = o + 24. Suppose d*x + 130 = 17*x. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 8*j. Let t = 28 + -23. Let y(s) = s**3 + 5*s. Give t*x(a) - 8*y(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 486, 1928, 4336, 7722, 12098, 17476?\nAnswer: 23868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 2. Let b be s(19). Let l(f) = 2*f**3 + 16*f**2 - 3*f + 6. Calculate the lowest common multiple of b\/(-34) - (1 - (-138)\/(-4)) and l(-8).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 22. What is the greatest common factor of 45 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - k + 10, 0 = -l - k + 3*k + 7. Let v = l - -370. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200012023 (base 4) to base 10\nAnswer: 131467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -3.11?\nAnswer: -0.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00675453748 rounded to 7 decimal places?\nAnswer: 0.0067545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + 3 + sqrt(19))*4*2.\nAnswer: 48 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -12*a**2 - 54*a + 88. Let g(u) = 7*u**2 + 27*u - 44. Let l(d) = 7*g(d) + 4*i(d). Calculate the remainder when 101 is divided by l(26).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1668)\/30 + 4\/(-10). Let t be c\/7*(-3)\/2. Solve 2*g + t = 4*h - 8*h, -12 = 3*h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/280 and 1\/23845060?\nAnswer: 333830840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 68*n**2 - 7*n + 27. Let i(f) = -f**2 - 4. Calculate -b(p) - 6*i(p).\nAnswer: -62*p**2 + 7*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7413467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -5*b + v, -b - 45 = 3*v - 90. Calculate the least common multiple of b and 1065.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u - 5*u**3 - 2*u**3 + 5*u**3 + (-3*u + 5*u - u)*(u**2 + 0*u**2 - 2*u**2) + 0*u**3 - 9*u**3 - u**3.\nAnswer: -13*u**3 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millennium in centuries?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2)*-7 - 2033\/107?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89419 is divided by 9920.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1464 = -j, 2*z + 4*j = -0*j - 600. Find the common denominator of (-12)\/16*z\/(-12) and -23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, p: 7, d: 1, l: 2}. What is prob of picking 2 p?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -19*p**2 + 9*p. Let h(o) = o**2. Let s(d) = -6*h(d) + r(d). Let f(g) = 6*g**2 - 2*g. Give -9*f(i) - 2*s(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5 = -3*p - 4, 2*f + p - 7 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 2086641 and 0.183.\nAnswer: 2086641.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-414 + 1466)*(0 + (3 - 4))\/(-2). Suppose -4*a + 1940 = -168. Which is bigger: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388304269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 - -94. Let u be ((-1395)\/6)\/31*4\/(-6). Solve -u*h - 17 = -f, o*h - 1 = 3*f - 0*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.4 - -6.4. Let k = 19514200 - 19514174.000002. Let y = k + u. What is y rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 29*d**2 - 31*d + 425. Let t be i(26). Calculate the highest common factor of t and 915.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.2 - 0.2. Let p = 100 - 107.3. Let d = 7 + p. Which is the closest to -1? (a) 2\/3 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 0.3 (c) -0.5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 2*i**6\/15 + 2*i**5\/5 - 325*i**2\/2 + i + 49. What is the first derivative of v(y) wrt y?\nAnswer: 16*y**3 + 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y - 11*y - 1 + 2*y + 0*y. What is p(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**6\/50 - 3*p**5\/25 + 3*p**4\/20 + 2*p**3\/5 - 6*p**2\/5 + p. Factor a(d).\nAnswer: 3*(d - 2)**2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 779 - 391 + 23*c - 388.\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 3*p - 7*p + (1 + 17 - 7)*(-p + 0*p - p).\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 853873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.200551ug in nanograms?\nAnswer: 3200.551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 102*p**2 - 666*p - 1026.\nAnswer: 2*(p - 57)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13429 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-21) - 2)\/((-15080)\/406 + 38)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-66))\/(5\/(-220)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14*l**3 + l**2 + 2638. Calculate j(0).\nAnswer: 2638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*h + 30. Suppose h*u - u + 80 = 0. Calculate the remainder when (-176)\/(-3) - u\/48 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 42\/(-9))*-90. Suppose 68 = i - r. Calculate the common denominator of -8 + 5 + i\/(-12) and -23\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 844.8 + -845. Let g = -0.4 + -34.6. Which is the second smallest value? (a) 0.5 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 93.82885?\nAnswer: 562.9731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3\/4 - 479*u**2\/2 - 957*u\/4 = 0.\nAnswer: -957, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 0.0548?\nAnswer: 0.3548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4508324.1?\nAnswer: -4508324.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 - 6*d**3 + 2*d**3 - 25*d**2 - 83*d**2 + 0*d**3 + 3 to the form y*d**2 + p*d + x + c*d**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 9.95 (b) -1\/5 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -726 - -727. Let r = 0.04 - 0.34. Put 13, r, w, 3\/2 in descending order.\nAnswer: 13, 3\/2, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12bd (base 16) in base 12?\nAnswer: -2939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from {y: 11, u: 2, q: 1}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860746 divided by 46?\nAnswer: 40451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 109 + 75?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-35) + 1988\/245 - 2\/5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) - 4*sqrt(891)*-2.\nAnswer: 81*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1179706 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637544\/38440*(2 + 11\/(-3))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2*t)\/t*t**(-3))\/(t**(3\/7)*t**(-1\/8)\/t) assuming t is positive.\nAnswer: t**(-17\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9030*x - 7383.\nAnswer: -9030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122 - -121. Which is the nearest to p? (a) 3\/2 (b) 5 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = 140*a - 13*a - 152027080. Round a to the nearest 10000.\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Let z = i - -10. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22410.6 - -0.4.\nAnswer: -22410.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2.3. Let q = -0.21 + -24.29. Let k = -25 - q. Which is the nearest to 0.1? (a) k (b) 2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 + 0*a**4 + 0*a**4 + (2*a**4 - a**2 + a**2)*(5 - 13 - 17) - 2*a**4 - a**4 + 8*a**4.\nAnswer: -44*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21155 (base 6) in base 12?\nAnswer: 17bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-41)\/(-57) + 60\/(-90)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1010*f**4\/7 - 722*f**3 + 7167950*f**2\/7 - 220849522*f\/7 - 874764\/7 = 0. What is f?\nAnswer: -99, -2\/505, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.4 (c) -0.4 (d) -1245598\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -50, -2\/7, 1\/6, 10 in increasing order.\nAnswer: -50, -2\/7, 1\/6, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 5\/20)\/(2\/152). Solve -20*b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44842.3 decades in years?\nAnswer: 448423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 7*u**2 - 8*u. Let c be r(8). Suppose c*z - 2 = -3*z - q, -3*q - 10 = z. Let j = z + -3. Is j bigger than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1049, -2096, -3145, -4196, -5249, -6304, -7361?\n\"Answer: -i**2 - 1044*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 195.34095 nanoseconds?\nAnswer: 0.000000000002260890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z - 5. Let r(o) = o + 1. Let n = -3 - -5. Let t = 30 - 19. Let v(a) = n*p(a) + t*r(a). Calculate v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13474313833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 4:22 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 422.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 73*y + 655. What is d(-51)?\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 66\/14 + (-18)\/(-63). Let y(n) = 8*n - 8. Let m = 33 - 21. Let t(a) = -4*a + m - 6 - 3*a + 1. Calculate h*y(v) + 6*t(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 31*z**2 + z - 55. Calculate f(31).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(1 - (-1 - 0)). Let s be y\/6*(-54)\/12. Suppose x - 32 = -2*u, -s*x + 1 = -11. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifteen quarters of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5*i = 18, 42*u + 5*i + 11 = 38*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/3))\/(p\/(p**(-3\/4)\/p))*(p**0*p)**(11\/9)*((p*p*p**(-2))**(1\/3))**(-11\/2) assuming p is positive.\nAnswer: p**(-7\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 6 + 5)*(15 + 7*x - 15) + 2*x + 2 - 2 + 0*x + 2*x - 4*x to q + d*x and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/26 + (940\/(-6))\/((-156)\/18). Calculate the highest common divisor of c and 41418.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 smaller than -841538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*z + 4, -24 = 5*z - 44. Let c(w) = 5*w**2 + 5*w + 4. Let t(k) = k**2 + k + 1. Give g*t(o) - c(o).\nAnswer: -2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 328102013\/935391 + 8\/55023. Let y = k - 351. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 961385 and 3760.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**5 + 41166*g**4 - 174818946*g**3 + 214387524108*g**2 + 429299669733*g + 214737285510 = 0?\nAnswer: -1, 2130, 5797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)*-2*-3)\/(sqrt(30)\/(sqrt(18)\/sqrt(3))) - 1*(sqrt(63) + (sqrt(63)*-1)**2*-5)) + -2.\nAnswer: 3*sqrt(7) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - -16)\/1 + 0. Suppose -5 = -4*y + w. Suppose -2*a + y = 2*i - 758, -2*i + 749 = -3*a. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499363 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1183501\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m + 55. Let u be x(18). Which is the smallest value? (a) -0.5 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 228161, 228157, 228153?\n\"Answer: -4*s + 228165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 5*o = -2*c - 44, 4*c = -2*o + 16. Let y(m) = -m**3 + 6*m**2 - 4. Give y(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4616.930848342 and -10.\nAnswer: 4606.930848342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127395847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/8, -2, -9 in decreasing order.\nAnswer: 3\/8, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + 2)*((-273)\/(-56) + -3). Let y be (8\/(-6) + 3)*f. Solve -6*p + p = y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*v = -51*v + 205 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**2\/2 + 55*p + 2. Let k(u) = u**3 + 4. Determine 4*f(b) + k(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 90?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282329684?\nAnswer: 2, 7, 13, 37, 20963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1) - (-322)\/(-2). Let w be (-4)\/(-10) + d\/(-15). Suppose 0 = 2*r + 2, 4*o + 4*r + r - w = 0. Solve -x = 2*x - 9, -o*b = -4*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 10:46 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**9\/126 - h**5\/20 - 2*h**2 + 2. Let w(f) be the second derivative of y(f). Find the third derivative of w(g) wrt g.\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0968 + -0.10674. Round u to four decimal places.\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-22))\/((u*u*(u**(-5\/3)*u)\/u*u)\/u))\/(u**3\/u**(-4)))**(-1\/4) assuming u is positive.\nAnswer: u**(85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d = -40*d + 1278. Suppose -888 = -2*j + p, -4*j + 4*p - d = -5*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2136 divided by -1068.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 160724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11960998*b**4*y - 2*b**2*y**2 + 2*b*y**2 + 7*b*y + 777*b + 5*y - 4 wrt b.\nAnswer: -143531976*b**2*y - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 1, y: 1, j: 1, r: 3}. Give prob of sequence by.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(19) - sqrt(19)) - sqrt(19))**2 - 2*sqrt(76)\/sqrt(4).\nAnswer: -2*sqrt(19) + 3211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -4 + -3)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 61611 = 2*w, 6*j = j + 13*w + 308031. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 19*p - 204 = 0. Let y = -44 - p. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*h - 4*p, 3*h + 2*p - 16 + 4 = 0. Suppose -h*o = 25*o - 67715. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*(o**(-4\/3)*o)\/o)**25 assuming o is positive.\nAnswer: o**(-325\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(192) + 4 + sqrt(12)\/((sqrt(4) + (3*sqrt(4) - sqrt(4)) + sqrt(4))*-4 + sqrt(4)))**2.\nAnswer: -238*sqrt(3)\/15 + 14236\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 25 (b) 0.5 (c) 0.026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 4*q - 6*q + (-2 - 2 + 2)*(3*q - 5*q + 4*q) - 4 + 4 + q - 3)*(-19 - 24 - 44).\nAnswer: 435*q + 261","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - a + 5. Let z be u(0). Suppose z*f - f - 44 = 0. Suppose 9*g - 2*g - 14 = 0. What is the least common multiple of g and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5117794 to the nearest integer?\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:00 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x - 1\/2*x**2 + 11\/2 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*30\/12*(-24)\/(-90)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 5*w - 160 - 150 + 534 - 224.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61712, 246188, 553432, 983444, 1536224, 2211772, 3010088?\n\"Answer: 61384*f**2 + 324*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*d**3 + 940620*d**2 + 104197650*d?\nAnswer: -372*d + 1881240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 1, c: 1, u: 8, w: 2}. What is prob of picking 1 w and 1 u?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/6 - 29*m**3\/6 - 35*m**2 - 16*m\/3 + 560\/3.\nAnswer: (m - 35)*(m - 2)*(m + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 734*l**2*u - 41*l**2 + 152*l - 4222*u - 1 wrt l.\nAnswer: 1468*u - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*h + 10. Suppose -2 = -h*a + 8. Suppose 0 = a*q - 6*q + 276. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(68)*3 + sqrt(68))\/sqrt(4))**2 + 0.\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 75, -3.\nAnswer: -3, -1, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9) + (-40)\/(-72).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*o**3 - 2317985*o - 15023951 wrt o.\nAnswer: -18*o**2 - 2317985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11762*n**2 + 373*n - 1935. Let a be q(5). Round a to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h. Let l(i) = 22*i. Suppose 0*c + 80 = -5*t + 5*c, 0 = 5*c - 20. What is t*a(u) + 5*l(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 418237096.\nAnswer: 2091185480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 76*o**2 - 351*o - 142. Let y be t(5). Factor -14\/11*i**2 + 8\/11 + 0*i + 6\/11*i**y.\nAnswer: 2*(i - 2)*(i - 1)*(3*i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t - 9*t**4 - 1\/2*t**2 + 0 - 17\/4*t**3.\nAnswer: -t**2*(4*t + 1)*(9*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - -1?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*u**3 + 0*u + 0 + 4*u**2 = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*a + 89*a + 55*a - 31*a in the form z*a + b and give z.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/60 and -83\/1518.\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1745*v**2 + 1070*v + 3. Let y(q) = -1744*q**2 + 1068*q + 2. Let o(s) = -2*j(s) + 3*y(s). Find the second derivative of o(h) wrt h.\nAnswer: -3484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79027313?\nAnswer: 79027313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*((1 + 0 + 1)*(1 - 1 - 2*q) + 179 + 11*q - 179).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -105*l - 156. Let c be g(-1). Let o be (-1)\/(-2) + (-285)\/(-2). Let i = c + o. Calculate the remainder when i is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6944 - 6879. Solve -83 - n = -37*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -90507*k - 814557. Calculate s(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-8)*(-2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -240793032 divided by 6?\nAnswer: -40132172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2. Let t(b) = -288*b - 3 - 3 + 359*b + 5. Calculate t(a(c)).\nAnswer: 142*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5 = -4*l, 98 - 85 = l + 5*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 + -232545\nAnswer: -232542.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = x + 5*i, 3*i - 23 + 8 = 0. Let l be x*(3\/6)\/(-1). Let g(v) = 3*v + 4. Let o be g(l). Calculate the highest common divisor of o and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14111 + 14176. Solve b*o = 167 + 288 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 0. Suppose -1 = x + 6. Let v = u - x. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 63665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q. Let k(x) = x. Determine k(f(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (819\/(-312))\/(6\/8 + 0).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 244 - 265. Are l and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/450)\/(4\/9)*-2\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v. Let f(w) = 2*w**2 + 8*w + 5. Let a be f(-5). Let o(j) = -2*j + 2*j - j - a*j. Give t(o(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.2427 micrograms in milligrams?\nAnswer: 0.6352427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8726 or 654446\/75?\nAnswer: 8726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, j: 1}. What is prob of sequence jq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vygy when four letters picked without replacement from yyggigv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbf when three letters picked without replacement from {t: 2, p: 2, f: 4, w: 2, c: 1, b: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 3*p + 84. Let s = p - 23. Solve r - 10 = -s*h, -5*h = r + 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2649 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 w be (-3)\/(-24) + 46\/144. Put w, 2, -1 in ascending order.\nAnswer: -1, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2014 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3 - -59) + -342 + 345 + -8?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(5*q - 3*q + 0*q)*(3 + 1 - 1).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41953*s**5 - 36037*s wrt s?\nAnswer: -839060*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 12:45 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 36. Let r be h(10). Let x(t) = 2*t + 5. Suppose -2 = -g + 3*g. Let b(i) = -1. Give g*x(p) + r*b(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49572\/95 - -7224\/19. Let v = x - -142. Let h = 2 + -2. Put v, h, 4 in decreasing order.\nAnswer: 4, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 0. Let h(p) = p**2 + 122*p - 6276. Let d be h(39). Which is the nearest to -2? (a) q (b) d (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2 + 4*g + 6. Let n(o) = 7*o**2 - 7*o - 11. Suppose -3 = i + 8. Let q(a) = i*c(a) - 6*n(a). Find the second derivative of q(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -5366?\nAnswer: 5361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78785402*t + 78785402*t + 22*t**2 - 189*t**2.\nAnswer: -167*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.112 and 68755.\nAnswer: 68755.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w + 2*w)*(670*w - 620*w + 1223*w - 181 + 184).\nAnswer: 1273*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38468, -82270, -126070, -169868, -213664, -257458, -301250?\nAnswer: -345040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 251*a + 5016. Let x be o(-20). Put -1, -3, 3, -507, x in decreasing order.\nAnswer: 3, -1, -3, x, -507","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 3, -3\/7, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270 + -135. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 4, 0.15215?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjj when three letters picked without replacement from kyklyjyylklklljj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2\/7 + 2467*s\/7 + 20120\/7.\nAnswer: -(s + 8)*(6*s - 2515)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102308 (base 11) in base 7?\nAnswer: 1252244","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Total of -233 and 0.5252.\nAnswer: -232.4748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h + h)*(-1 + 2 - 3) + (-10 + 1 - 8)*(-2 + 2 + h) - 2 + 2 + h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.07, -5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 5*t**2 + 42*t + 147. Determine v(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a86 - -3?\nAnswer: -8a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27780 and 56486.\nAnswer: 1694580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 300.441 + -301. Let r = 93.051 + -93. Let t = r - p. What is t rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*c + 2*s, -4*c + 3 = c + 4*s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(-66)\/88.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}