diff --git "a/data/dm_maths/full_data_1/1475_11255.jsonl" "b/data/dm_maths/full_data_1/1475_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1475_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let k = -32 - -49. Let m(j) = -j - 5. Let d(p) = 3*p + 14. What is k*m(v) + 6*d(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -20, 5.738, 1\/4 in ascending order.\nAnswer: -40, -20, 1\/4, 5.738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*m**3 + 1 + (-1 - 4 + 3)*(m**3 - 347*m**3 + 79*m**3) in the form b*m**2 + d*m**3 + w*m + l and give d.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 22 - (6 + -14 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 2*r)*(-1 + 2 + 1) - 11 + 28 - 7*r - 18.\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 - 645 = -7*m. Do -127 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5605231 = -4*v + 18354769. Round v to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 - 12.5. Let z = i - -11. Let v = z - 2. Which is the nearest to v? (a) 4 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5 + 0 - v**2 + 0*v**2 - 2*v - 7*v. Suppose 2*a + 3*j = -22, -2*j + j = 4*a + 24. What is the remainder when 43 is divided by o(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2 = -4*w + 7, 5*f = -5*w - 5. Let x be 256\/18 + (-4)\/18. Let a be (-4)\/x*12\/8. Is a at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/4 - 2517*w\/4 - 1257\/2.\nAnswer: -3*(w + 1)*(w + 838)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/6 + (-138)\/9. Let f = y - -18. Solve 2*c - 2 = f*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(11)*3*-4*5.\nAnswer: -180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3971 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2029000 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/5 - (-2 - (-98)\/(-35))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -73390 and -73390 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 14 and 77\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -308*h - 12. Let u(x) = 28*x + 1. Let j(n) = 3*r(n) + 32*u(n). Let s be j(-1). Do 25 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -100. Suppose -15072145 - 44627855 = f*c. What is c rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3 + 16*r**2 + 38*r + 20 = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(1700) - -1*sqrt(1700)*6) + -1 + sqrt(1700) + sqrt(1700) + 3))**2.\nAnswer: 360*sqrt(17) + 137704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674874439?\nAnswer: 674874439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000288804 to seven dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*y**2 + y - 349 + 2*y**3 + 349 to the form w + a*y + r*y**3 + c*y**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*m + 164 = -25*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -506*z. Let y(m) = -3*m. Calculate y(w(a)).\nAnswer: 1518*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 2:12 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 16*m**2 - 64*m - 27. Let n be l(-6). Put n, 4, 1 in descending order.\nAnswer: 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10503 - 5790 - 17684 - 12299 = 1006*c for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3 + 4605*i**2 + 639372*i - 1297140 = 0?\nAnswer: -130, 2, 1663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -393*b**5 - 864691*b + 864691*b + b**2 - b**2 + 2*b**5 + 0*b**4 + 0*b**4 - 2*b**5 + (-b**3 + b - b)*(0*b**2 + 4*b**2 - 2*b**2) - b**5 + b**5 - b**5.\nAnswer: -396*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.45 - -73.55. Let u = k + -130. Let x = u + 55.0000116. What is x rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 5*w + 3*w + 5*w**2 to b*w + n*w**2 + u and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - t - 1. Let k(i) = -7*i**2 - 15*i - 17. Let s(g) = -6*h(g) + k(g). Let o be s(-7). Solve -3*n = -0*n, 4*n + 3 = -o*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32d1 - 5?\nAnswer: -32d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f**3 - 7*f**2 + 8*f - 5. Suppose -3*l = 5*s + 27, 3*s + l - 19 = 6*s. Is u(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 - 14 + 2558*a - 2558*a to k*a**2 + d + x*a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 4809?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7184 and 1904.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22314 = -2*c - 4*y, -y + 29436 = 2*c + 7134. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 7, 18, -4913 in ascending order.\nAnswer: -4913, 7, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5299884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l. Let s(h) = -3*h. Let f(t) = 4*g(t) + 11*s(t). Let u(o) = o**2. Calculate f(u(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.01 - -8. Let j = 18.87 - 19. Let u = -0.23 - j. Is d greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14*(-58)\/2639)\/((-2)\/(-26)*-1*274)\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 1284*h - 5144. What is k(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*c - 28, b + 3 = -2*c + 7. Let v = 5 - -3. Let s be (8 + 0)*(-4)\/v. Sort s, c, -3 in decreasing order.\nAnswer: c, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24434 (base 14) to base 2\nAnswer: -10101101000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11*204\/(-935)*30\/(-24)*2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdgdsjojjdojddjddjjw. Give prob of sequence ogdo.\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 117391401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13416, 13420, 13424, 13428?\n\"Answer: 4*i + 13412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n - 10 = 0. Let p be (2 + -1 - -2) + -1. Solve 4*z - n*z = p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165610011 to the power of 1\/2, to the nearest integer?\nAnswer: 12869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - s**2 + s - 1. Calculate the remainder when (-14*(-3)\/3)\/1 is divided by j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1299956437 rounded to the nearest 100000?\nAnswer: -1300000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57328651 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805596 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.37037 centimeters to kilometers.\nAnswer: 0.0004537037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4051471.\nAnswer: 59, 68669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*k + 2*k. Let w(p) = -2*p. Let t(f) = 2*f. Let v be (4\/(-6))\/((-4)\/18). Suppose -3*l = -8*l - v*i - 36, 0 = i + 2. What is k*w(h) + l*t(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4465 - 467 = 179*t - 119 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44767201, -44767200, -44767197, -44767192, -44767185, -44767176?\n\"Answer: p**2 - 2*p - 44767200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2651 is divided by 294.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488380*z - 244193*z + 4*z**3 - 244187*z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 6*n + 11. Let t be r(5). Suppose -7*p + 8 = -t. Solve p = -3*s - 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-4 - -3) + (-5 - (4 + -35))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 3:16 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4624\/9 - 509. Calculate the common denominator of (-306)\/(-99) + (-6)\/33 and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.78493t in micrograms?\nAnswer: 17784930000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -5*i + i - 2*h, -2*i + 125 = 3*h. Suppose 447 = 2*m - i. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4118000 rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*s**3 - 4*s**3 + 13*s**3.\nAnswer: 41*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9717474 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 8*m - 13 = 3*n, -2*n + 3 = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506141 is divided by 168707?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*h - 956*y + 952*y, -5*h + 46 = -3*y. Let r(z) be the second derivative of z**5\/20 - 11*z**4\/12 - z**3\/6 + 15*z**2\/2 - z. Determine r(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - r - 3. Let g(d) = 9 - 17 - 3*d + 5*d**2 - 7*d**2. Calculate 3*g(s) - 8*v(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8439153*y - 8439201*y - 2448 = 0 for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkx when three letters picked without replacement from {z: 1, d: 3, n: 9, x: 2, c: 1, k: 2}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/2 - (13 - 10). Suppose 0 = q - 3 + y. Let t(k) = k. Let x(w) = -8*w + 2. Let f(i) = q*t(i) - x(i). What is f(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 13*n + 213. Let f = n - 219. Is 8 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26025?\nAnswer: 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -475, -470, -465?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -939*g + 111731. Give c(119).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 544bf (base 16) in base 14?\nAnswer: 8db8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 37 = 2*h, -3*h - 21 = -0*u - u. Suppose -u*s + 18*s = 1764. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/(2 + 0\/4). Let t(z) = z**2 - 11*z + 1. Let m be t(l). Solve -m + 5 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 182249*d + 146475 wrt d?\nAnswer: 182249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 22456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2085*h + 2583 - 8054 - 102949 = 0 for h.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + -1)*1 + (44 - 31). Solve -2*a + 14 = i*s, 0 = -8*s + 12*s - 5*a + 21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-25))\/(1\/(-280)). Let i be (-4)\/14 + k\/49. What is the first derivative of -64*a**4 - 3*a**i + 75*a**4 + 1 + 3*a**2 wrt a?\nAnswer: 44*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4363 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 0 + 0*o**4 + 0*o**3 - 1\/12*o**5 + 0*o + 3*o**2. Let a(g) = -g. Determine a(y(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6742 divided by 2?\nAnswer: -3371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2\/37, 4, 2, 34\/3, -5 in decreasing order.\nAnswer: 34\/3, 4, 2, 2\/7, -2\/37, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + x. Let h be i(-2). Suppose h*t + 2*t = 16. Solve -a + 7 = 4*q, t*q - 9 = -2*a + q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83321\/946 >= -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f + 1. Let l be q(2). What are the prime factors of (-123)\/(l\/6 + 1)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - t - 3*t - 8, -2*m = -4*t - 8. Let o(q) = q + 14 - 2*q - 4. Calculate the remainder when 28 is divided by o(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*v**3 + 173*v**2 - 3 - 344*v**2 + 171*v**2)*(-5*v + 2*v**2 + 5*v).\nAnswer: -78*v**5 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780696.2 millimeters to centimeters.\nAnswer: 78069.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2. Let o(l) = 776*l + 2. What is m(o(g))?\nAnswer: -1806528*g**2 - 9312*g - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4 = 2*y + 5*g, 0 = 5*y + 2*g - 14. Suppose -y*k + 13 = 4*d - 3, 4*k + 8 = 2*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 + -115.27. Let t = 0.93 - z. Let o = 0.4 + -0.7. What is the third biggest value in 0.1, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*c + 26*c - c**4 + c**2 + (2*c**2 + 2*c**2 - 3*c**2)*(-3*c**2 + 3*c**2 - 2*c**2).\nAnswer: -3*c**4 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/320 and -169\/1620.\nAnswer: 25920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 12\/3 + -1. Let h = -14\/3 - -13\/3. Put -4, n, h in descending order.\nAnswer: n, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512560?\nAnswer: 2, 5, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*g - 3 = -2, 5*m - g = 23. Suppose m*q - 2 = l, 3*q + 0 = 5*l + 10. Factor 0*j + 0 - 2\/11*j**4 - 2\/11*j**3 + q*j**2.\nAnswer: -2*j**3*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -233224 + 1?\nAnswer: -233223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13116075 by -10535.\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 624*y**2 - 18*y + 21. Let w be l(1). Let k be ((-4)\/(0 - 1))\/2. Does 4 divide w*1\/12 - k\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1749 from -46373.91857.\nAnswer: -46373.74367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 91*l + 2 + 7 + 9.\nAnswer: -91*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-48))\/((-9)\/(-27))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, r: 2}. Give prob of sequence rrww.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2\/17 + 199676*z\/17 - 4983813122\/17 = 0.\nAnswer: 49919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c**3*x**3 - 702*c**3*x - 133*c*x**4 wrt x.\nAnswer: -30*c**3*x - 1596*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/36 and 35\/1002?\nAnswer: 6012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 348 - (-2)\/(-5)*5. What is the units digit of l\/(-4)*76\/(-38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 8*g - 12. Let m be b(-5). Let i(a) = -a - m*a + 2*a. Let x(p) = 6*p. Give x(i(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 161 + 587 = 0 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18028 - 72103 + 18022 + 18024 + 28*v**2 + 18029 - 3*v**2.\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 - 2*a**2 + 6*a**2. Let x(l) = l**2. What is r(x(p))?\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6388000 to the nearest 100000.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 + i**2 - 2*i**2)*(2 + 0 + 0) - 52*i**2 + 5 - 52*i**2 + 110*i**2 to the form p*i + n*i**2 + q and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -2, -4, 0.225, -14\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.69 and 113.7371191.\nAnswer: 114.4271191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552525927 to the power of 1\/2, to the nearest integer?\nAnswer: 59603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 p, and 1 z when four letters picked without replacement from phzpxzzzppipzxy?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 2*f - 4 - 9*f**2 - 12*f + 2*f - f**3. Let w be n(-8). Determine g so that 10*g**5 + 24*g - w*g**4 + 18*g**4 + 0 + 2*g**2 - 34*g**3 - 8 = 0.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgggggxxgxg. Give prob of picking 2 x and 1 g.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.606 - -27.\nAnswer: 30.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*w + 3*l - 30, 4*l + 28 = 2*w. Let q = w + -14. Solve 5*i = 11 + q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qegj when four letters picked without replacement from {q: 1, j: 9, g: 1, e: 2}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236715969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 12.1, -3?\nAnswer: 12.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*m + 98 = -267, 4*m + 4 = 0. Suppose x + 2*d - r = 0, -x + d = -3*d - 90. Find the common denominator of 19\/22 and (x\/(-2))\/(13 - -1).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21195410 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 493 + 353. Let c = k + -420. Suppose 12\/7*m**2 - 2\/7 + 22\/7*m**4 - 2\/7*m + 4*m**c + 6\/7*m**5 = 0. What is m?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1843340*j. Let o(c) = c**2 + 5. Calculate q(o(n)).\nAnswer: 1843340*n**2 + 9216700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 12. Let r(k) = -k**2 + 2*k - 1. Let u be r(1). Suppose -3*m + 21 + q = u. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h + 2 - h - 4*h + (-11*h - 48*h + 16*h)*(1 + 0 + 0) + (15 + 7 - 19)*(-2*h + 0*h + h) to g + k*h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -170*f**2 - 269*f?\nAnswer: -340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -8*a**3\/3 - 2*a**2 - 2*a. Let r be k(4). Is 2\/(-4)*2 - r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -9, -1.38, 0.19, -0.4, 1?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -898*j + 889*j + 7884. What is the least common multiple of j and 10?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1431228 and 1476.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r, 2*w - 35 = 2*r - 37 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1980 and -187\/240?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5719 - 5720 + 6*l**2 + 11439.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*u, -2*u + 7*u - y = 0. Let i(j) = j**2 + 3*j - 66. Let m be i(u). Let n = 96 + m. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2 + 2447*w - 610530 = 0. Calculate w.\nAnswer: 282, 2165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1233, -1232, -1231, -1230?\n\"Answer: r - 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 10 - 2 = 0. Let b(y) = -6 + 14 - 6*y + 4 + 28*y**i + 5. Is b(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 4191.2867.\nAnswer: -838.25734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 10611 = -33*t. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1778176*c*j**3 + 12*c*j**2 - 8*c + 85*j**3 + 96459*j**2 - 2 wrt j?\nAnswer: 10669056*c + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - ((-4)\/(-12)*3 + -3). Let i(h) = -3*h**2 - 7*h - 4. Let g(x) = -x**2 - 3*x - 2. What is k*i(y) + 5*g(y)?\nAnswer: y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/180 and -29\/312600?\nAnswer: 937800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75769556.\nAnswer: 2, 3041, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b = -288. What are the prime factors of (-8)\/(b\/195)*3?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.51352 rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1754 less than 1\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 4:37 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbd. Give prob of picking 3 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -990 - 819492228.\nAnswer: -819493218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3879956 + 3880546.9549. Let c = k + -591. What is c rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m - 17783 + 2587 = 0. Calculate the least common multiple of m and 6.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*d + 5. Let u be (1 - d)\/(0 - 1). Is (-2)\/u + 50 + 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33579905?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 68047328 divided by 2001392?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -17. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290 and 2378?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:24 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*h + 84 = 0, 5*h = 3*h + 8. Let p = -34 + o. Solve u - 6*u + 5*f - 25 = p, -4*f = -2*u - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.11091893 + 2.111. Round u to six decimal places.\nAnswer: 0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69.6419 - 0.3181. Let v = -87.022 - h. Let m = v + 17. Round m to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 1 + 6*a - 2 + 10*a**2 + a**2 - 3*a**2. Let d = -18 + 21. What is the smallest common multiple of s(-7) and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*14\/(-36) + 2. Is 1 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*4*sqrt(1008) + 0)*-3.\nAnswer: 2304*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s**1\/s)\/s*s)**(1\/49)\/(((s*(s\/((s**(-8)*s)\/s))\/s)\/s)\/(s*s**(-2\/3))) assuming s is positive.\nAnswer: s**(-1121\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -15) + 11 + 9 - (-31 + 4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9 - -2) + 3)*-1. Let r be 4 - (8\/h + -4). Let y(g) be the first derivative of -g**3\/3 + 2*g**2 - 9*g - 62. What is y(r)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(243))*-1*-4 - 1*((1*sqrt(33))\/sqrt(11) - (4*(-1 + sqrt(3) + sqrt(3)))**2).\nAnswer: -29*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -363147.35263 + 11.\nAnswer: -363136.35263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**2\/2 - 8*a - 6. Let r(w) = -w + 3. Suppose -5*i = -3*t - 2*t - 10, -4*i + 11 = -t. What is t*n(u) + r(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/7)*c)\/c*((c*c*c**16)\/c)\/c assuming c is positive.\nAnswer: c**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**2\/x)\/x))\/x*x)**(-33)\/(((x*((x**(-5)\/x)\/x)\/x)\/x)\/x**1) assuming x is positive.\nAnswer: x**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 1 + 7. Factor -s**3 - 1 - n*s + 2*s**3 + 0*s**3 - 1.\nAnswer: (s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 12*p. Give s(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*g + 25 = 2*g, 4*s = 5*g - 83. Let w = s - -15. Let i(o) = -o**3 - 8*o**2 - 10*o - 7. Is i(w) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23 and 5309\/242 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 417*j + 3. Let a be n(-2). Let d = 5867\/7 + a. Calculate the common denominator of d and -99\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116087093 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 27969474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 231 + -88. Let v be -5*(-21 - 2\/(-1)). Let x = n - v. What is the highest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66.0718 and -0.04?\nAnswer: -2.642872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 19*j - 32*j + 15*j. Let d(b) be the second derivative of -b**3\/3 + b. Calculate d(t(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -0.1, 3\/5, 151\/4 in decreasing order.\nAnswer: 151\/4, 3\/5, -0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 295 + 295. Let l(v) = 0*v**2 + 0*v**2 - v**2. Give l(y(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 7*s**2 - 6*s + 2. Let t be p(-6). Suppose -4*z = -3*c - 51, -3*z + t*c = c - 37. What is the remainder when 22 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.2, 1 in ascending order.\nAnswer: 0.2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + g**2 - 15. Give f(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = -2*w. Suppose 4*x + w*k = 3 + 1, -3*k = -x + 13. Find the third derivative of -3*j**2 + x*j**3 + 4*j**2 - 2*j**3 wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzwqqzqqzzz. What is prob of sequence tw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 11*r + 4. Let c be l(-11). What is the highest common factor of c and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 731677 = -4*k, 368*k - 243855 = -f + 364*k. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 550 + 57. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, 1, -1, -220, -3 in ascending order.\nAnswer: -220, -3, -1, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 7*d - 13. Let w(a) = -46*a + 11. Let x be w(-3). Let m = x + -158. Calculate q(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43750 + 43749. Sort 3, -5, -2\/23, 0.04, k in descending order.\nAnswer: 3, 0.04, -2\/23, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 5, 38, -2\/33?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12474 + 7001. Let t = 7344 - n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1974439?\nAnswer: 71, 27809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/(-5) - (-10)\/(-25). Let v be (-2)\/c - (-58)\/6. Solve 2*p - 3*o = v, -5*p + 0*o = -3*o - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-9)*((z*z**(3\/5)*z)\/z)\/z*z**(-12)\/z**0 assuming z is positive.\nAnswer: z**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 45*d**2 + 64*d - 868. Let k be m(44). Solve 725*f = 727*f - k for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -298, -440, -582, -724, -866?\nAnswer: -1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 5, 2, 26 in decreasing order.\nAnswer: 26, 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/34*((-40)\/(-160) - 4\/(-48))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.1 - -11. Which is the third smallest value? (a) 0 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/218, 2, 0, 3\/4 in ascending order.\nAnswer: -9\/218, 0, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -0.062, 0.4, -90.\nAnswer: -90, -0.062, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 15 = 29. Suppose 5*j = -y + 24. Let x be (-42)\/(-135)*-2 - j\/(-5). What is the smallest value in -4, x, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1411092*p**2. Let m(h) = h. What is b(m(v))?\nAnswer: 1411092*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -16*261\/(-72)*2. Suppose 0 = -2*b + n + 154 - 42, -3*n = -4*b + 220. What is the highest common factor of b and x?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 176. Let g = -121 + 196. Calculate the remainder when p(14) is divided by g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12021110010 (base 3) to base 15.\nAnswer: -20b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 0*t. Suppose -2*s + t*s = 6. Which is smaller: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -114*q**2 - 36*q + 18. Let i(h) = -32*h**2 - 10*h + 5. Let x(r) = -18*i(r) + 5*u(r). Let y(w) = -72*w**2. Calculate y(x(j)).\nAnswer: -2592*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzae when four letters picked without replacement from {z: 4, e: 10, a: 5}?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27293*g + 267*g**2 + 27293*g to the form o*g**2 + n*g + t and give o.\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*l**2 + 2*l - 4*l + 36*l**2 as v*l + c*l**2 + w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*l - 51*l - 89 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-12)*(-9 + 7). Let m = -0.3 - -0.26. Put m, l, -0.1 in descending order.\nAnswer: l, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -131841 and 0.\nAnswer: -131841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-8) - (-3)\/(240\/370)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10013, 10004, 9983, 9944, 9881, 9788?\nAnswer: 9659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-45))\/(2\/(-5)). Suppose -p - w = -3*m, -5*p + 1 + 10 = m. Suppose p*h = -0*h + 3*r + 39, 4*r = 4. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1086 in ascending order.\nAnswer: -1086, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1051360.141 to the nearest one hundred.\nAnswer: -1051400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2915 + 0.21012675.\nAnswer: 2915.21012675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 - 7*y + 37. Let k be r(-6). Let s = k - 193. Calculate the remainder when 144 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5 + 4*c**4\/3 + 2*c**3\/9.\nAnswer: 2*c**3*(3*c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a day in hours?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12948 - 4445. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.776618km in centimeters?\nAnswer: 77661.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*y**2 + 353*y**2 + 2725*y - 5454*y + 2729*y.\nAnswer: 306*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 28. Let t be l*7*(-30)\/75. Let w be (-8)\/t + 108\/14. Do w and 8 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 28*o - 3784. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciheaieihi. Give prob of picking 1 c and 1 a.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 9 = 4*u, 12 = 173*u - 178*u - h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -182856070*t*w**2 - 56*t*w - 1851030*w wrt w?\nAnswer: -365712140*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/18 - (-2 + 3). Is -1 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 720 + -713. Let t(q) = 20*q**2 - 7*q + 4. Let u(j) = 13*j**2 - 5*j + 3. Calculate w*u(g) - 5*t(g).\nAnswer: -9*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -318*3\/27*((-90)\/(-20) + -3)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 941375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2662*c**3 - 2*c**2 - 3*c + 2. What is the thousands digit of d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-4))\/((20\/(-130))\/(192\/208)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -9*h - 63. Let r be l(-18). Suppose -6*b - r = 27. Is b*10\/(-3) - 0 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8031 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/218)\/3*(-234)\/(-585)?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 - -2 - (-45 + 10 + 17)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 12*b**2 - b + 8. Let t be m(-12). Let o = t + -14. Solve 5*x - 4*d = 7, o*x - d - 13 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -9. Suppose -4*j = 2*h - 74, j - 2*j = 2*h - 17. Suppose -t*k = -j - 23. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 462985 and 2575?\nAnswer: 2314925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - t + 1. Let z(s) = 2*s + 8. Let i be z(-4). Let l be d(i). Let m(r) = 4*r**3 + 1. Let q be m(l). Solve 2 = q*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -2\/19 (c) -14.9 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/105 of a week in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 10) + (-1 - (-9 + -68 + -18 - -9))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 3*k - 3. What is the least common multiple of o(2) and (-6)\/(-5)*(-35)\/(-21)*1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddc when three letters picked without replacement from cccccccdcd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 5\/22, 0, 2.6, 15 in ascending order.\nAnswer: -4\/5, 0, 5\/22, 2.6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:47 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2540255 (base 8) in base 6?\nAnswer: 23034233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/45 and (-14)\/42*129\/(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 not equal to 848\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 517311143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2091 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 1047216716?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-3\/14))\/i)\/((i\/i**(2\/5)*i*i)\/i))**(-34)\/((i\/(i**(1\/4)\/i))**(-23))**(-43) assuming i is positive.\nAnswer: i**(-233669\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 11*d**2 + 17*d + 13. Calculate m(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o**2 + 0*o)*(8 - 45*o + 46*o - 7).\nAnswer: 2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - ((-3)\/(-6))\/((-1)\/20). Is 18662\/d + (-1)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, -3, -5, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence reer when four letters picked without replacement from errrpprreerpg.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3587\/5 or 717?\nAnswer: 717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 4, k: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 6*p**2 + 5*p + 3. Let j be q(5). Suppose -i = j*b + 12, -4*i = -b + 4*b + 12. Solve i = -2*k + 3*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -390 divided by -2\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**8\/5880 + p**7\/735 + p**6\/252 + p**5\/210 - 2*p**3\/3 - 4*p. Let l(m) be the second derivative of d(m). Factor l(o).\nAnswer: 2*o*(o + 1)**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -o - 3*g - 7, 0 = -4*o - 2*g - 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 24*z**2 - 25*z + 2. Let a be y(25). Let g be (-4)\/14 + 23\/7. Suppose -a*x - 28 = -g*x. Calculate the remainder when x is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-seven quarters of a second?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11.7, 12, 26, -5 in decreasing order.\nAnswer: 26, 12, -5, -11.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*3\/6 + 91. Let f = -78 + n. Let c = -4 + f. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 35631.\nAnswer: -17815.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10535 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 7:06 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63475 = -2088*v + 39828 - 33067 + 82188 for v.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*v + 10, -4*v = 2*a - 2*v + 4. Let u be (80\/3)\/10*(-3)\/a. Let x(j) = -4*j + 3. Let l(g) = 3*g - 2. Let q(s) = u*x(s) - 5*l(s). Give q(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 68420\/2310*6\/40 - (-42)\/735. Factor 72*b + 2048\/3*b**3 - 384*b**2 - t.\nAnswer: (16*b - 3)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5995 + 5998. Which is the third biggest value? (a) 0.8 (b) -2 (c) x (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 14.38, -5, 21, -0.3 in ascending order.\nAnswer: -5, -0.3, 14.38, 21, 37","meta":{"dup_signals":{},"source":"comparison__sort_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: Sum -0.043 and 113493.\nAnswer: 113492.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 7 = -t + 2*t, 0 = -3*z + 2*t + 16. Suppose 0 = -62*a + 70*a + 8. Put a, z, -4 in decreasing order.\nAnswer: z, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((0 + 2 + sqrt(75) + 1 + -1)**2 + 0)*3.\nAnswer: -948 - 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 138069*i**2 - 137536*i**2 + 1.\nAnswer: 533*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 710 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673935?\nAnswer: 3, 5, 179, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -5\/4, -1\/8, -2.2, 10744?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3462869393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 0 + sqrt(112)*3 + (sqrt(112) + 2)*6)**2*3.\nAnswer: 2880*sqrt(7) + 34032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 - (-6320 + (3 - 3)). Suppose -36*k - k = -v. Calculate the greatest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2504.103 and -99.\nAnswer: 2405.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8155 and 455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*-4*sqrt(567)*2)\/((sqrt(36) + sqrt(9))*4 + -3*2*sqrt(9))*-3.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -27597.863.\nAnswer: 27597.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(448)*1)**2 + 0 + (sqrt(175) - (0 + 1 + sqrt(175))).\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 11*r**3 + r**2 - 2*r + 1. Suppose 0*x + 20 = 4*x. Suppose 5 = -x*i - 2*v, -v = -5*v - 20. List the prime factors of u(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2348, 0, -2\/19, -2\/7 in decreasing order.\nAnswer: 2348, 0, -2\/19, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*s**3 - 135680*s**2 - 2786775*s + 1636740 = 0. Calculate s.\nAnswer: -21, 4\/7, 3897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-9))\/(4\/(-150)). Suppose w = -0*w - y + b, -3*y - 165 = -5*w. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*s + 36*s + 31*s to the form r + m*s and give m.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/13 + -1\/39. Suppose -f = 2 - 3, 0 = -5*b + 4*f - 19. Let z = 13.1 - 13. Put b, j, z in descending order.\nAnswer: z, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/9 - 32*y\/9 - 185\/9.\nAnswer: (y - 37)*(y + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11208806 divided by -7054\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u + u)*(2*u**3 + 3*u**3 - 3*u**3) + 390034 - 3*u**4 - 238*u**5 - 390034.\nAnswer: -236*u**5 - 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, x: 1, f: 2, g: 1}. What is prob of sequence oofx?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-15)*(-1)\/30. Let x(h) = 12*h - 9. Let c be x(1). What is the third biggest value in -5, 2\/9, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/381 and 51\/8.\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((126\/15561*65)\/((-12)\/(-57)))\/(2\/16).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -1\/9, 2\/101, -17, -261?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/55627 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*k - 4*m = 219*k + 128, 0 = 5*m - 15. Sort k, -1, -34.\nAnswer: k, -34, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**3 + 97*w**2 + 69*w - 96. Let r be p(33). Solve r*y - 15 = -u, -3*u + 0*u = y - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 24. Solve 2*g + g = -v*h, 4*h + 4*g + 8 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24, -25, -22, -9, 20?\n\"Answer: x**3 - 4*x**2 + 4*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g**3 + 143*g**2 + 173*g - 48. Give i(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -13 + 4 + (-56)\/24*-6 + -9\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -25*w**2 + 23675*w - 23285*w + 79*w**2 + 2*w**3 + 338.\nAnswer: 2*(w + 1)*(w + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -148735136?\nAnswer: -148735138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1040639974 to the nearest integer?\nAnswer: 32259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i + 4 = 0. Suppose 0*b - b = -i. Let o be 3\/(14\/b - 2). Solve -r + 4*r - 15 = -3*d, -d + o*r - 7 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 2 - (-29 - -31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -33, -47, -59, -69, -77, -83?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 1 + 4 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (747\/(-27))\/(-83)*4\/(-26)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*f - 115*f + 12. Solve -f*y + 14 = 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8524659, -8524658, -8524657, -8524656, -8524655, -8524654?\nAnswer: -8524653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38519, -77248, -116187, -155336, -194695, -234264?\nAnswer: -274043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 94.024 and 269.6.\nAnswer: 25348.8704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4057, -4059, -4063, -4069, -4077, -4087, -4099?\nAnswer: -4113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + y + 1. Let m(v) = -v**3 - v**2 + 13*v + 2. Let c(w) = -3*g(w) + m(w). Let a be c(-7). Suppose 7*s - 5*s = a. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 - 7*r**2 + 0 + 5 + 16*r**2 wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5427 is divided by 176?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - 28*r + 26. Let l be x(-17). Put l, 5, 4 in descending order.\nAnswer: 5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t + 13 = 0. Suppose 3087 - 2999 = 22*o. Sort -1, -5, o, t in increasing order.\nAnswer: -5, -1, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44664637.\nAnswer: 53, 842729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 16\/(-96) + 868\/24.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27070000 to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -944, -680, -414, -146?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 38 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (-85)\/15)\/((-6)\/9). Suppose 5*d + 2 = -3*f - f, 0 = 2*f + 6. Solve -d*g + 3 = -n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1063, -2138, -3213?\n\"Answer: -1075*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93061 at least 93063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 584023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 9:55 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Let h = 13 + -25\/2. Which is the second smallest value? (a) n (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**4 - 81*g**3 - 813*g**2 - 999*g + 1890 = 0. Calculate g.\nAnswer: -6, -3, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 252 or 249?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 0*s - 1\/2*s**4 + 0 - 1\/2*s**2 + s**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 12:08 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbbipbpbpiibzbi. Give prob of picking 2 b, 1 z, and 1 p.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6602*s - 230*s - 6191*s + 13576*s + 9653*s as h + d*s and give d.\nAnswer: 23410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 62*l**2 + 66*l - 8. Calculate s(63).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7417 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3229 - 7e66?\nAnswer: -4c3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**23\/o)*o\/(o**(-1\/6)*o))\/(o**(-1\/41))**29 assuming o is positive.\nAnswer: o**(-4951\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19\/22 + 7\/11. Let t be (-6)\/27 - (-14)\/63. Let b = -0.1 + 0.5. Put y, t, b in decreasing order.\nAnswer: y, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2544)\/(-3392))\/((-126)\/24)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let m(o) = o**3 - 3*o**2 + 2*o - 1. Let w be m(3). Let y be ((-6)\/w)\/((-14)\/5). What is the closest to n in y, -2\/5, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 227926*s. Let h(w) = -3*w. Calculate b(h(j)).\nAnswer: -683778*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.121 times -78.538\nAnswer: 9.503098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or -61?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 823008 and 384.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f. Suppose -3*g = -3*m - 27, -2*g + 5 = -5*g - 5*m. Suppose -3 - g = -4*b. Let t(d) = -6*d + 12*d**b - 5*d + 11*d. Determine p(t(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2 and -49\/37991.\nAnswer: 75982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (99 + 78 + -114).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4*t*t)**(1\/15)\/(t**(-1\/6)*t)**(-9\/4) assuming t is positive.\nAnswer: t**(281\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s - 35. Let d be 2\/s - (-40)\/(-7). Let z be (-1)\/3 - 20\/d. Solve i = -z*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6\/5)\/((d*d**4*d*d*d)\/d))**48 assuming d is positive.\nAnswer: d**(-1968\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 3*y - 3*y)*(-2 + 2*y + 2) + 8*y**2 - 9 + 9.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 136. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5*5\/(-100))\/(2\/24). Solve u*a + 2*d + 0 = 1, -d - 19 = -5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -37*l**3 + 5*l**2 - 5. Let s(d) be the third derivative of -88*d**6\/15 + 8*d**5\/5 - 16*d**3 + 13*d**2 - 13*d. Give 96*p(a) - 5*s(a).\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 1, x = 6*u - 3*u + 94. Is -2\/3 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-3))\/((-1)\/3). Let i = q + 7. Let m(w) = -w**3 + 4*w**2 + 3*w. Let z be m(-2). Calculate the highest common factor of z and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*z**2 - 30*z**2 + 17*z**2)*(0 + 0 + 1).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3*q - q)*(-14*q**2 + 21*q**2 - 6*q**2).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2823, 10011, 21975, 38709, 60207, 86463?\nAnswer: 117471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 g when three letters picked without replacement from gsogsgosogsgsgoogsss?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - -23 - 29.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - 1786\/(-266). Suppose s*l = 17 + 214. Calculate the lowest common multiple of l and 156.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(15\/(-135)*1\/22). Calculate the greatest common factor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 983*q - 19 wrt q.\nAnswer: 983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y*y**(-1\/6)\/y)\/y)\/y**7)\/(y\/(y**(-3)\/y)*y\/(y**(-2)\/y)))**(-2\/31) assuming y is positive.\nAnswer: y**(97\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1 - 2)*0)\/(-1). Let t be (-1)\/(-3) - (-1 + 0). Let l be (-88)\/(-120) - ((-1)\/(-3) + 0). Which is the closest to k? (a) 4 (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2*d + 16 = 0. Let c = 21 - 13. Calculate the smallest common multiple of c and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 3030.562?\nAnswer: -3033.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 24*o - 4. Let f(p) = p. Let j(h) = a(h) - 12*f(h). Let d be j(5). Let n = 61 - d. Solve 5*w + 23 = -u, 5*u = n*w + 5 - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 4:17 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 682541657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-15)*-75)\/(2*(-12)\/(-8))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 4\/(-22) + (-595)\/(-2244) + 437531\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(2880)*4)\/(sqrt(81)\/(sqrt(63)\/sqrt(7))) + -1)*-1)**2 + -5.\nAnswer: 256*sqrt(5) + 5131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k + 4*i + 12 = -44*k, -5*k = 3*i + 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 136575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erer when four letters picked without replacement from rreeeeeerrererereerr.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - (-2 + (-314)\/(-12)) and (-12)\/42 + 645\/(-168)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/208526 and 79\/164?\nAnswer: 417052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4657, -7012, -9369, -11728?\nAnswer: -14089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*(3 + (sqrt(11) - sqrt(44)\/sqrt(4))) + -1 + 2 + sqrt(1100))**2 + 3)*2.\nAnswer: -13884 + 3400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**3*y + 192*r**3 - r**2*y - 35*r**2 - 4*r*y - 5000*y + 2 wrt r.\nAnswer: 6*r*y + 1152*r - 2*y - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8290247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y. Suppose 23 = 4*n - 0*n - 5*s, -21 = -3*n + 5*s. Solve n*b = -3*z, z + y*b = -b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1911729 is divided by 61?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 675 - 674.429. Let h = -84.771 + p. What is h rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*2470.\nAnswer: 296.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 83\/(-4) + 6\/8. Let q be 3\/1 + -3 - m. Solve -q = -o + 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2664 - 10200 = -314*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -7, -16, 2\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8e (base 16) to base 4\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17323118 and -8.\nAnswer: 138584944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13009*z + 455 = -13014*z for z.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 2*l - 4676, 23*l - 1564 = -3*p + 21*l. Calculate the least common multiple of 2145 and p.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -157*r**3 - 5030*r**2 - 200*r - 213. What is w(-32)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/1)\/(2\/2). Find the third derivative of 3*n**2 - 8*n**3 - n**2 - r*n**2 wrt n.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 19*l = 221. Solve l*r - 6 = 15*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9 + 2*z - z + 7. Let r be d(-7). Let w = r - -6. Solve f + 3 = -5*p - 0*f, -4*p + 5*f + w = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:18 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 3:07 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/67275 and -149\/26910.\nAnswer: 134550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -4)*((-68)\/(-12) - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2 + 4. Is 19911*4\/12 - (z - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/29 + -85\/87. What is the closest to -1 in 3, -34, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from jzldezjm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*c - 505*c - 329*c = 12312 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 5*u**2 - 2*u - 4. Let c be v(4). Suppose c = -2*o - 2. Is (-256)\/o + 4\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + ((sqrt(756)*-5)\/sqrt(12))\/(sqrt(45)\/(sqrt(5) + sqrt(20)\/sqrt(4) + sqrt(5)))).\nAnswer: -12 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20754 = -5*n - 11*i + 15*i, -2*n + 8274 = 3*i. Are 4146 and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 + 7*x + 1. Let q be y(-2). Which is the nearest to q? (a) 3\/2 (b) -2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sllsv. Give prob of sequence vs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -462673.62 less than 1182?\nAnswer: 463855.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 9:35 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + o - 148 + 80.\nAnswer: o + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by (12319\/(-381))\/(2\/(-6)).\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 + 21*l**2 + 14*l + 45. Let w be o(-10). Put -4, -20, 0, w in decreasing order.\nAnswer: w, 0, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272 (base 9) in base 13?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3072846.\nAnswer: 2, 3, 7, 23, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12348.7 - 12615. What is k rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20527978.\nAnswer: 2, 1187, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*c*d**2 - 5*c*d + 12*c - 25*d**2 - 21*d + 3464 wrt d.\nAnswer: -8*c*d - 5*c - 50*d - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62176428 divided by -9.\nAnswer: 6908492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -5*y - 16. Let p(a) be the first derivative of 3 - y*a**2 - 18\/5*a**5 + 0*a + 3\/2*a**4 + 16\/3*a**3. Factor p(x).\nAnswer: -2*x*(x + 1)*(3*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2*g - 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -2028, 3, 1386?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*(c\/(c**(2\/37)*c*c))\/c)*c*c)*c**2)**(-2\/55)*(c**(-1)\/(c**6*c))\/(c\/(c**0*c))**(-39) assuming c is positive.\nAnswer: c**(-16202\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, 388, 0.5, -0.1, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-23804)\/(-99))\/((-12)\/(-54)). Let b = q + 429. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25299 is divided by 947?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11440, -2, 10, -5 in ascending order.\nAnswer: -5, -2, 10, 11440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6569 is divided by 386.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2 - 13*r - 7. Let d(a) = 2*a**2 + 7*a + 4. What is 4*b(t) + 7*d(t)?\nAnswer: -2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqf when three letters picked without replacement from {d: 1, f: 2, q: 1, g: 1, k: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Let f(o) be the second derivative of 0*o**4 + 2*o + 0*o**2 + 0*o**5 + 0 - 1\/3*o**c + 1\/10*o**6. What is the second derivative of f(t) wrt t?\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468*c + 10 = -469*c. What is the closest to 1\/5 in -4, 1\/7, 0.3, c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 3:09 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 641516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**3 - 2*n + 1. Suppose 20 = 5*a + 5*i, -4*a + 4*i - 9 = -a. Give w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 9:06 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f**3 + 12*f**4 - 20*f**2 + 23545469*f - 23545469*f = 0 for f.\nAnswer: -1, 0, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 7. Suppose 27*y - 2310 = -8*y. Calculate the highest common factor of x and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 5\/336*d**8 + 4*d**2 + 0*d**6 + 0*d**3 + 7\/60*d**5 + 0 + 0*d**7 + 0*d**4 + 0*d. What is the third derivative of m(h) wrt h?\nAnswer: 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 227627\/19 - 11984. Which is bigger: 4 or j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99855339487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.078? (a) -164\/3 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*c + 983*c + 1551*c.\nAnswer: 2173*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 0*u**2 + 0*u**3 + 0 + 0*u**5 - 1\/10*u**6 - 103\/6*u**4 - 89*u + 13\/21*u**7. Find the third derivative of m(c) wrt c.\nAnswer: 1560*c**2 - 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r, -4*r - 11 = -4*p + 1. Suppose p*n = 3*f - 4*f + 19, 5*f - 43 = -2*n. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30915 + 30914.9521. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 14 - 4. Solve 1 - 5 = -g*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -782*h = -784*h + 108. Let y(c) = -c**3 - 8*c**2 - 7*c + 5. What is the remainder when h is divided by y(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4}. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 394\/7 - 56. What is the second biggest value in -1, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 27 = 3*o. Suppose 16 = 5*m - o. Suppose -2*f + 16 = 3*g - 2*g, m*f + 90 = 4*g. Calculate the lowest common multiple of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -60 + 1\/4*k**4 + k**2 + 2*k - k**3. What is m(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -231 - -2539\/11. Sort -5, b, 0, 1 in ascending order.\nAnswer: -5, b, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6605952 and -0.3.\nAnswer: -6605952.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vttxbvvvvvxx. What is prob of picking 2 t and 2 x?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 26618000 to the nearest one hundred thousand.\nAnswer: 26600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110011010100000 - 100?\nAnswer: -1001110011010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7237, 14446, 21655, 28864, 36073?\n\"Answer: 7209*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 - -90. Let c(r) = 6*r + 23. Let j be c(k). Let o be (0\/j)\/(-4 + 6). Solve o = n - 2*n - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -62891522, -62891523, -62891524, -62891525, -62891526, -62891527?\n\"Answer: -r - 62891521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266862.45 months to millennia.\nAnswer: 22.2385375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 5 + -13 - -21?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 12*b**2 + 12*b - 16. Let s be w(-10). Suppose s - 164 = -4*r. Which is greater: 27 or r?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l + 6*l - 203 = -62. Let w(c) = -c + 6. Let z be w(4). Find d such that 1\/4*d**l + 9\/2*d**z + 54 + 27*d = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*sqrt(2800)*-3.\nAnswer: -240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -812688, -812702, -812718, -812736, -812756, -812778?\nAnswer: -812802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(-3183 + k + k + 2964) + (1 + 3 - 5)*(-4*k + 6*k - 3*k) + 2 + 6*k - k - 3*k.\nAnswer: 5*k - 217","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = 2*t + 1, -t = -w. Suppose 4*s - 2*f = 388, 2*s + 83 = 3*s + t*f. Suppose 6*o + s = 683. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 2. Let j = -22 - -20. Let v be i(j). Suppose -3*m - 2*l - 221 = v, 0*l = -4*m + 4*l - 288. What is m rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1056)\/396*((-3)\/2)\/(-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 12 = 4*r, 5*r + 30 = -14*d - 36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-50)\/15*(-6)\/55. Suppose 6*o - 11*g + 15*g + 34 = 0, -4*o - 2*g - 18 = 0. Are o and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a**2 - 29*a + 20*a**2 - 13*a**2 - 8*a**2 - 6 + 24*a**2. List the prime factors of u(-4).\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7193828.\nAnswer: 2, 1798457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 29. Let h be -2 - (874\/230)\/((-1)\/10). Give r(h).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20495 is divided by 6637?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1)\/j)**(-24)*j**(2\/3)*j*(j*j**0)\/j*j assuming j is positive.\nAnswer: j**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4396 divided by -912.\nAnswer: 1099\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/13 - (4 + -8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 16, -3049, -25, 4, 1 in descending order.\nAnswer: 16, 4, 2, 1, -25, -3049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 + 2*h - 1. Let i = 194 - -6. Suppose i = 4*q + 112. Calculate the remainder when q is divided by x(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/15)\/((-1)\/(-20)). Let j = 38 - v. Let m be 19 + (2 + 10 - 25). What is the greatest common divisor of j and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13713629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -270255.0015 + 270168. Let u = n + 87. What is u rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8 = -5*m, -3*t + 10 + 2 = 4*m. Let o(x) = -x**3 + t*x**2 + 2 - 4 + x**2 + 4. Calculate o(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25 and 0.265.\nAnswer: -24.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/354 and -127\/6.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 1)\/(2\/1). Sort 4, -2, -1, q.\nAnswer: -2, -1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96025.98 micrograms to tonnes.\nAnswer: 0.00000009602598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -24*x - 122. Give k(-10).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376809 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*g**3 + 83*g**3 - 178*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 188230433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 208*y + 79. Let c(p) = 1. Let z(m) = -a(m) + 3*c(m). What is the first derivative of z(r) wrt r?\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-51) - 302448\/136. Is n\/(-5) + 26\/130 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 9:49 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g + 0*g + 0*g - 3*g + g + 1 - g - 1 + (2*g - 2 + 2)*(-2 + 3 - 2) - 3 + g + 3 - 6*g + g + g)*(1 - 3 + 0).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 at most 235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*y + 50*y - 3*y**4 + 5*y**3 - 2 + 6*y**4 + 3*y**2 - 3*y**3 as z*y**2 + u + o*y**4 + g*y + l*y**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-43)\/28 + 4\/14. Suppose 3*g - 5*b = 14 - 6, -7 = -2*g + 3*b. Let o = g - 8. Put -4, x, o in increasing order.\nAnswer: -4, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -27*k**2 - 388*k + 46. Calculate u(-14).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 9:40 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**10)\/(g*g\/(g*g*g**1*g*g)*g) assuming g is positive.\nAnswer: g**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -25, 15\/8, -3 in ascending order.\nAnswer: -25, -3, 0.3, 15\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 1. Let w(z) = 7*z**2 - 9*z - 6. Suppose 72 = 3*f - 6*u, -74 + 47 = 3*u. What is f*m(t) + w(t)?\nAnswer: 7*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*p - l, -2528*p + 21*l = -2530*p - 44 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 19451419.1?\nAnswer: -19451424.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -32*x - 1. Let k(a) = 738*a. What is p(k(q))?\nAnswer: -23616*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*q + 16. Let g = q + 11. Find the first derivative of 6 - 2*a**4 + g*a**4 - 5 wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 9)*2\/39. Let z = -9 - -8. Is z at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*l - 37170530 = -3*l - 104*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.318 - -28.277678. Let a = 0.0399 + g. What is a rounded to five decimal places?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*v**2 - 104350916*v + 104351000.\nAnswer: -4*(v - 1)*(21*v + 26087750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5\/7)\/t)**49)**(2\/25) assuming t is positive.\nAnswer: t**(-168\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gez when three letters picked without replacement from ezeoeoboogo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 28. Suppose 5*a + 4*v = k*a + 2, -v + 2 = a. Let s(r) = r**2. Let c(l) = 2*l**2. Give a*c(h) - 5*s(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/2)\/((-36)\/(-4224)*16)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h - 2 = 0. What is the derivative of -h + 3 + 2*x**4 + 1 + x**4 wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55325954*r + 165647946.\nAnswer: -55325954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/6)\/v**(-24))\/(v**(-1\/6)*v**(3\/11)\/v) assuming v is positive.\nAnswer: v**(827\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/4275)\/(4\/(-24))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242358737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 5*t + 1. Let r be p(7). Suppose 3*u = 3*k + 3, 0 = 5*u - r - 5. Let l be (-22)\/6 - (-2)\/k. Put -2, 3, l in increasing order.\nAnswer: l, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 10765.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 8 = 2*n. Let y(r) be the second derivative of r**4\/24 - r**3\/2 - r**2\/2 - r. Let i(d) be the first derivative of y(d). Determine i(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400 and 61162275?\nAnswer: 978596400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-24)*((-45)\/25 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144\/8 - (-10752 - -36)?\nAnswer: 2, 3, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1350?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6551 + -59.6551. Let s = 137 + -72. Let l = s + k. Which is smaller: -1\/5 or l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/53 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lljwkhjc. Give prob of sequence lkc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 + -17 - -14) - -42.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*v**4 - 526*v**3 - v - 76178 wrt v.\nAnswer: -16*v**3 - 1578*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2. Let x(o) = -517*o + 517*o + 13*o**2. Calculate x(c(p)).\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -18, -0.4, -6\/7, 778316 in descending order.\nAnswer: 778316, 0.2, -0.4, -6\/7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.596 + -45.924. What is o rounded to 0 dps?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (10 - 18 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/4 - 55*g**4\/4 + 23*g + 14. Factor a(x).\nAnswer: -5*x**2*(x + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 23*c - 63. Give i(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3229585068 to the nearest integer?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1493 - -1492.229. Let m = v - 36.329. Let k = m - -37. Sort -2\/3, k, 0 in descending order.\nAnswer: 0, k, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-5) - 4\/10. Suppose f*s = s + 6. Solve -2*p + 19 = -3*n, 0*n = -s*p - 3*n + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 374965 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 2, 4, 5, -4, -1067 in decreasing order.\nAnswer: 5, 4, 2, -4, -49, -1067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:38 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34982814?\nAnswer: 2, 3, 281, 20749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -18. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.414 + 63.35\nAnswer: 60.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21 + 0.19. Let q = -3210\/11 + 292. What is the second smallest value in q, -2, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from ggqg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.5 + -33.9. What is the third biggest value in n, 6, 19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408231.9 millimeters in nanometers?\nAnswer: 408231900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y - 17. Let m be h(5). Solve 3 = -m*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 65*g - 85 + 206. Which is the third smallest value? (a) 1\/3 (b) 4 (c) g (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 391240.831 and -0.34?\nAnswer: 391241.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36*(-36)\/(-4860))\/(34\/3).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 - -164. Let h(y) be the first derivative of -63*y**2\/2 - 54*y + 2156. Let u(l) = l + 1. Determine q*u(a) + h(a).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 288941.\nAnswer: 5\/288941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 2*v + v)*(-4*v + 0*v + 2*v) + 2*v - 2*v + 2*v**2 - 14*v + 14*v - 11*v**2 - 3*v**2 + 9*v**2 - 2*v**2 to b*v + o + z*v**2 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.15490578 + 8.155. Round o to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 855*j**3 - 12500965*j**2 + 146210*j.\nAnswer: 5*j*(j - 14621)*(171*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-6)*d**(-18))\/(d**(-1\/4)*d**(-2\/3)))**(-5\/6) assuming d is positive.\nAnswer: d**(605\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10514 - 4?\nAnswer: -10518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(((-12)\/177)\/(-4)) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3248*d + 205 wrt d.\nAnswer: -3248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + 13*x**2 - 11*x - 4. Let k be z(-7). What is the third derivative of -23*t**2 - k*t**3 + 3*t**2 + 0*t**2 wrt t?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fttvtfthvvvvv. Give prob of picking 2 t and 1 v.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, i: 1, x: 3, w: 1, y: 5, l: 1}. What is prob of sequence xwel?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**8\/336 + n**7\/105 + 99*n**2\/2 - 134. Let f(z) be the second derivative of q(z). Determine w so that f(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 897 divide 2215590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mooppmmpppm. What is prob of picking 1 o and 2 p?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 11*u + 7. Suppose -7*x = 6*x + 182. Let i(g) = g**3 - 3*g**2 + 4. Let p be i(3). Let a = x + p. Calculate b(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19545802 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2230 - 939. Let o be (1 + 1)*(-1)\/y. Let l = -87782\/3873 + o. What is the common denominator of l and -23\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -30911?\nAnswer: 30905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3*623.\nAnswer: 809.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*d - 8 = -51 + 310 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9219642.\nAnswer: 2, 3, 23, 66809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00163904793 to seven dps.\nAnswer: 0.001639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/2)\/((-6)\/(-57)*-1). Let p = 22 - i. Suppose -5*x - 26 + 1 = 0, -p*a - 3*x = -1104. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 + 1509 = 4*y. Suppose -20 + 5 = -3*t, 2*t = -3*j + y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 + 6*y**3 - 2 + 2 - y**3 + y**5 + y**3 + (3*y**4 + 0*y + 0*y)*(-2*y + y - y).\nAnswer: -4*y**5 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 221*c + 17313 - 3453 = 0 for c.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - (1 + (-1 - 1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 - 4*t. Let c(z) = 9*z**2 - 11*z. Let h(q) = q**3 - 2*q**2 - 4. Let a be h(2). Determine a*c(v) + 11*d(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-18912)\/36)\/(14\/9))\/(12\/(-966)). What is the highest common factor of j and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -4. Let c = -28.14 + p. Let x = 0.13945 + c. What is x rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6810657 years?\nAnswer: 8.1727884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21768 * 4.8\nAnswer: -104486.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5 + 172162*j**4 - 7409594224*j**3 - 29641303718*j**2 + 7409594225*j + 29641131556 = 0.\nAnswer: -4, -1, 1, 86083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 6 = j. Let r be 8\/(-20) - (-36)\/j. Does 5 divide (r\/(-8))\/((-2)\/(-148))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 98792\nAnswer: 296376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - -8 - 0\/3. Find the third derivative of -q**5 + 4*q**5 - c*q**2 + q**2 + 0*q**5 wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/5))**2\/(y**34*(y**(8\/15)\/y)\/y*y) assuming y is positive.\nAnswer: y**(-497\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89763 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1548 - 5*l**2 + 5*l - 14*l**3 + 1548. Let z(k) = 15*k**3 + 6*k**2 - 6*k. Determine 6*o(y) + 5*z(y).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1.187, 2, 0.6, -5, -0.55?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h + 84. Let n be g(5). Solve -8*x + n = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2333 - -2328. Put c, 5, 45 in ascending order.\nAnswer: c, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 162044534 + -4?\nAnswer: 162044530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92.889 + 93. Let r = a - 0.1110047. Round r to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37a (base 11) in base 7?\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17\/39409 - -5548696\/18482821. Let a = -1\/67 + y. Solve -2\/7*w**3 + a*w + 8\/7*w**2 - 8\/7*w**4 + 0 = 0 for w.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6315618 divided by -1\nAnswer: -6315618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 26. Let w = o - -7.0000002. Round w to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 1, o: 1}. Give prob of sequence akk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, x: 1, h: 4, e: 2}. Give prob of picking 1 e and 1 h.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -16*k - 94. Let g be h(-6). Solve 2 = 3*n + 4*z - 15, 0 = -4*n - g*z + 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lgqilllitbtlt. What is prob of sequence lltg?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n**2 + 12*n + 1. Let p(h) = -7*h**2 - 14*h - 2. Let l(o) = 5*g(o) + 4*p(o). Is 5 a factor of l(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 + 14*l + 4. Let u(d) = 1. Give -p(m) + 4*u(m).\nAnswer: 3*m**2 - 14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37207*k**2*v**2 + 9*k**2*v + 5*k**2 - 2*k*v + 152*v**2 - 37 wrt k?\nAnswer: -74414*v**2 + 18*v + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 + -28. Suppose -2*u + 0*u + 4*w + 56 = 0, 3*u + 4*w = a. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.8 (b) 10 (c) 1\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (3 + -1556))\/((-6)\/(-20)). Suppose 5*h - 3*o + 8615 = 0, -3*h + 3*o - o - q = 0. What is h rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, 27, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -291 at least as big as -293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1134 divided by 2\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -16*(-531537)\/192 + (1 - (-7)\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 1, w: 2, k: 3}. What is prob of sequence ok?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -35\/2*g**2 - 36 + 6*g. Is m(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 31*d + 5\/6*d**3 - 5\/12*d**4 + 0*d**2 + 0 + 1\/20*d**5. Calculate v(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/13 + 5410*u**2\/13 - 3650384*u\/13 - 10999896\/13.\nAnswer: -2*(u - 1354)**2*(u + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2 = 5*y, -3*h + 0*y - 4*y - 1 = 0. Let c be ((-2)\/12)\/((-282)\/(-8460)). Put c, 4, h, -2 in decreasing order.\nAnswer: 4, h, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32660734.\nAnswer: 2, 19, 859493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 13*p + 390. Calculate the lowest common multiple of 130 and z(-29).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005943724 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Calculate the lowest common multiple of 1 + 3 - (2 + -4 + -56) and y.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 762*u - 378*u - 384*u + 2*u**2. Let f(n) = -2*n**2 + 2*n**2 - 3*n**2. Determine w(f(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.0771 - -0.0229. What is the closest to -0.2 in 0.5, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 9. Let h(d) = d - 4251 - 3*d + 4251. What is j(h(q))?\nAnswer: -4*q + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9610871, -38443468, -86497797, -153773858, -240271651?\nAnswer: -345991176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1955 + 77131716\nAnswer: 77133671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*i**3*s + 94341*i**3 - i**2*s + 498*s with respect to s.\nAnswer: 6*i**3 - i**2 + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(11)*3 + sqrt(88)\/sqrt(72).\nAnswer: -17*sqrt(11)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(6)\/sqrt(2)))\/(sqrt(6) + -2*(-1*sqrt(6) - sqrt(6))).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 14*j**2 + 7. Let v(t) = -471*t + 4244. Let y be v(9). Let s(u) = -13*u**2 - 6. Calculate y*z(x) + 6*s(x).\nAnswer: -8*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4\/3, 55, -0.0758, 5\/3, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22670*g**4 - 207*g**3 - 13860597*g**2 wrt g?\nAnswer: -544080*g - 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 324209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a factor of 142147248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49, -176, -387, -682, -1061, -1524, -2071?\n\"Answer: -42*k**2 - k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myjlmjffmm. Give prob of picking 1 y and 1 j.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/84 and -95\/84966?\nAnswer: 169932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y. Suppose y = t - 8. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 213984888 - v**2 - 213984888.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*j + 120 = 35*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3382*s + 12117*s + 1 - 1.\nAnswer: 15499*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (0 + 4\/10). Let i be 2 + 96\/(-52) - 2\/13. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*h = -0*d - 39, 0 = 5*d + 2*h - 112. Let i = 45 - d. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 37 = 13. Let q be ((-6)\/7 - 0)*-7. Suppose b*g - 30 + q = 0. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4*d**3 + 32672808*b**2*d**3 - 304399*b*d**3 - 8*b - 2*d**3 wrt b.\nAnswer: -24*b**2*d**3 + 65345616*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260696 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 9*i**2 - 19*i + 1. Let u be c(-6). Let h(g) be the first derivative of 0*g**2 + u*g - 31\/3*g**3 + 31. What is the derivative of h(r) wrt r?\nAnswer: -62*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1011, -1571, -2131, -2691?\nAnswer: -3251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108\/(-24)*2*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a = 1478 - 262 - 712 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (24 + 49)\/(0 + 1) is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/sqrt(7))\/sqrt(8) + sqrt(5))**2 + sqrt(120)\/sqrt(6).\nAnswer: 2*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1106889.673 to the nearest ten thousand.\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-10) + (-110)\/(-50). Solve 3*a + m = h + 4, 9 = -h - 5*a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -17. Let l(r) = -4*r**3 - 3*r + 3. Let x(n) = 2 - 10*n - 11*n - 3*n**3 + 19*n. Calculate z*l(a) - 3*x(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a hour?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.136 - -0.164. Which is the third biggest value? (a) -4 (b) w (c) -5 (d) -13.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6149, 3, 1, 2 in descending order.\nAnswer: 5, 3, 2, 1, -6149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 1627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4*(-1)\/(-8))\/(9\/2034). Sort -1, 1, 5, s in decreasing order.\nAnswer: 5, 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 2\/23, 0.5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((10\/45)\/(-1))\/(4\/(-3)). Which is the second smallest value? (a) 0 (b) 19 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 6*c + 9. Let z(t) = 27*t + 141. Let w be z(-5). Give j(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*sqrt(25)\/sqrt(5) - 6*(-2 + sqrt(5))*5.\nAnswer: -32*sqrt(5) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(2\/7)\/i)))**(-37))**(-1\/2) assuming i is positive.\nAnswer: i**(-185\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + o - 1. Let p = -70 + 77. Let c be 15\/12 + (p\/(-4))\/7. Give k(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1144334 + -7?\nAnswer: 1144328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 326342*u**3 - 4*u**2 - 72609*u + 2 wrt u?\nAnswer: 1958052*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 249\/4 - 3229\/52. Let w be ((468\/(-40))\/(-13))\/(12\/10). Which is the closest to 2\/7? (a) 4 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/15, -0.4, 24, 14\/9, 1, -7?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949*o - 1007*o - 2 + 3 + 1802*o.\nAnswer: -154*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2221, 0 in descending order.\nAnswer: 2221, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1717, 15986, 54705, 130096, 254381, 439782?\nAnswer: 698521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -1 (c) -9 (d) 28\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11*p - 1. What is o(-3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0145 + -0.01450294. What is p rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 58 = -43 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.939133ug?\nAnswer: 1939.133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007006 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*m = -8, -4*i + m = -0*i - 4. Suppose 3*p = -4*w + 28 - i, -20 = 5*p. Calculate the smallest common multiple of 4 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601 divided by 1?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-4 - -4) - 7. List the prime factors of (-1158)\/p - 3\/(-4)*-1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2246122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 89477 + -0.1\nAnswer: 89476.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1323012 - -10133022?\nAnswer: 12122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-6)*19 + (-434)\/2604. Solve -6*m + 18 = -9*m + 4*p, -3*m - p = g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - 13 - -17 - (4 + (-6 - 0) + 1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 345 and 1409550?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - 1861*k + 2*k**3 + 1861*k - 742*k**4 - 416*k**2 wrt k?\nAnswer: -17808*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11866, 11862, 11848, 11818, 11766?\nAnswer: 11686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 24*m - 141. Calculate v(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 23*x**2 + 12*x**2 - 10*x - 2 - 7 to l*x + h*x**2 + u and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 618209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772 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: Solve -18*z - 10 = -19*z + 2*f, 4*f = -4*z - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 12. Suppose -2 = 2*r - 4*v + 12, 3 = -3*v. Let f be w(r). Let x be (16\/(-3))\/(14\/f). Solve 3*i - x = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -310?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 98086 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {y: 1, g: 3, m: 5, n: 1, i: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g**2 + 387*g - 300 = 0. Calculate g.\nAnswer: 4\/5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 8*z + 6. Let n be s(-9). Let k = 14 - 14. Let r(v) = -v**2 - 6*v + 10. Let g be r(-7). Sort k, n, g.\nAnswer: n, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10*(102\/(-4))\/(-785 + 784) is divided by 4\/10 - 318\/(-5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 9) in base 14?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 541.3 + -541. Let y = -3.6 + -0.4. Let l = -8 - y. Which is the third biggest value? (a) l (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 206 + -206.000000344. What is n rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 2\/915 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24351, -194694, -657047, -1557414, -3041799, -5256206, -8346639, -12459102?\n\"Answer: -24334*k**3 - k**2 - 2*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -13\/3*h**2 + h**3 + 16\/3*h - 4\/3 = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12695856 by -17932.\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 34\/19, 0.02, 3?\nAnswer: 34\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*z + 7*z + 1, -z + 21 = 4*x. Let m be 2\/(((-10)\/x)\/(-89000)). Round m to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 + 222110122?\nAnswer: 222102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 675*s - 1. Let j be m(-2). Let w = -401 - j. Let o be w\/4*9*-800. What is o rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 9. Give u(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4.6 (b) 5 (c) -2\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 8. Let f be h(-3). What is the third derivative of -k**2 - 33*k**5 + 4*k**2 + 35*k**f wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41607 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*j - 896 = 260*j. Which is smaller: 225 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8034684 divided by 573906?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwaamzmmaamggg. Give prob of sequence bgwa.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*i - 11 - 11 = 0, -3*s + 17 = -5*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -12. Let s(z) = 5*z - 23. Let v be s(u). Put 5, v, 0 in descending order.\nAnswer: 5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523384 greater than 523389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 18179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 69. Suppose 0 = 5*w - 5*c - 70, 5*c - n = -2*w + 41. Suppose 9*q - w*q = 0. Solve 2*y = 4*y - v + 2, 3*v + 6 = q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 + i. Let a(o) = -o**2 + 2*o + 17. Let w be a(5). Let d(g) = -3*g**3 + g**2 - 2*g. Let x(r) = w*d(r) + 4*f(r). Factor x(m).\nAnswer: 2*m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.01 (b) 1\/4 (c) -2\/11 (d) -92 (e) -8\/141 (f) 3 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12504 - 5314203\/425. Let l = d - 416\/1275. Let s = 12.21 + -12. Is l bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -287 - -724. Suppose 5*u + x = 1507. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117 - -129. What is the greatest common factor of p and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l + 4*x + 3 = 32*l, 2*l - 4*x + 6 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 69232976?\nAnswer: 69232979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i - 9*i**4 + 8*i**4)*(2*i - 7*i - i).\nAnswer: 6*i**5 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3 + 17 - 7 + 627*b.\nAnswer: 627*b + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/8)*n*n)**(-9\/8)\/(n**(-41)*n*n**25) assuming n is positive.\nAnswer: n**(843\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 646938 or 646931?\nAnswer: 646938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k**2 + 9. Let x(q) be the third derivative of q**4\/12 + 2808*q**2. Calculate s(x(b)).\nAnswer: 32*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*u - 4 = 0, -u + 34 = 5*v - 2*u. Solve 0 = -2*k - 5*o - 8, v*o + 7 = -3*k + 2*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26400 divided by -550.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.2 (b) -12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 401870199705 minus -3?\nAnswer: 401870199708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 25 = 5*x - 25, 0 = -x + 3. Let n be (-7)\/(-3)*(22 - m). Suppose -z - n = -c + 4*z, 2*c = -2*z + 70. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**2 - 1671*k + 2965482 = 0.\nAnswer: -1311, 754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -10*m**2 - 11*m + 5. Suppose 3*w - 4*c - 12 = -w, 5*c - 5 = 0. Let q(n) = -7*n - 4. Determine w*o(j) - 11*q(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1590, 2930, 4258, 5568, 6854, 8110, 9330?\n\"Answer: -i**3 + 1347*i + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen eighths of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 91 = -423. Suppose 2*p - 170 = 4*d, -d + a + 67 = 2*p. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1034 and 55330?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -206*t**3 - 618*t**2 - 618*t - 1854. Let b(q) = -q**2 - q - 3. Give 2472*b(c) - 4*y(c).\nAnswer: 824*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(1\/((-8)\/(-16)*-1)). Solve 3*i + 2*z - 4 = h, -26*i = -22*i + 2*z - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -9*z - 11. Let c(i) = 3*i + 4. Let g(l) = -11*c(l) - 4*d(l). Let j(p) = 3*p**2 - 9*p**2 + 5*p**2. Calculate j(g(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10)*(-10 - 0). Suppose -4*m = 3*a - 28, 4 = -0*a + a - j*m. What is the least common multiple of 5 + (6 - 1 - 1) and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from ooh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(3\/(-2) + 1). Suppose 127*g - 44 - 210 = 0. Let k = -15 - -30. Solve 5*w + k = g*n, p*n + 2*w = -0*n - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24544 is divided by 4087?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1989*d*n**3 + 29*n**3 + n**2 - 117*n wrt d?\nAnswer: -1989*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - m - 1. Let h(z) = 2*z**3 + 24*z**2 + 18*z - 26. Let q(y) = -h(y) - 6*j(y). Let q(u) = 0. Calculate u.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(3\/7)*i))**49\/(((i*i\/(i**10\/i))\/i)\/(i\/(i\/(i\/(i*i**(-17)*i*i))))))**45 assuming i is positive.\nAnswer: i**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21\/2? (a) -2\/7 (b) 2\/5 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, u: 1, k: 1, g: 7, s: 1, q: 5}. What is prob of sequence lq?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 - 3857205*n**2\/2 - 46286676*n - 277720488.\nAnswer: (n - 3857229)*(n + 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778810 is divided by 431?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 547677\/156 + -3*1\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 112605, 225028, 337451, 449874?\n\"Answer: 112423*r + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 4:09 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401*t = -128*t - 546. Calculate the highest common factor of 158 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1935\nAnswer: -1\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(1 - 1 + 2*l)*(-9170*l + 83651 - 83651).\nAnswer: 36680*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 591 - s + 580 - 1171. Let g(q) = -19*q - 8 + 6 + 2. Determine u(g(m)).\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14279550, 14279549, 14279548?\n\"Answer: -g + 14279551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 8:35 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 15*g + 3. Let i(r) = 2*r**2 + 31*r - 5. Let t(k) = -7*h(k) - 4*i(k). What is the remainder when t(-7) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 2)*(-14 - -12). Suppose -5*f + 143 = -x, u*f + 22 - 149 = 5*x. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3*u = 2*f + 6086, 0 = -3*u - 4*f + 4592. Suppose 8*g - 2396 - u = 0. Calculate the highest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 7 = 7*p. Suppose 6*r = 5*r + p. Let y = -8 - -5. Sort y, r, 0.\nAnswer: y, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -16\/3, 1, 0.25, 2, 3\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 - 2*x**2 + 2*x**2 + (4*x + 0*x - 2*x)*(5*x**4 + 0*x**4 - 3*x**4) - 9*x**5 + 31*x**5 - 6*x**5.\nAnswer: 18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 478 divide 164493603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -10*f - 6. Let u(i) = -56*i - 35. Let g be 35 + 1 + (1 - 2). Let k(b) = g*o(b) - 6*u(b). Give k(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a + 2?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 not equal to -1625\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5*b + 10, -3 = -5*d + 4*d - 2*b for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2556595 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1)*(-b + 0*b + 0*b + (3*b + 3 - 3)*(-1 - 3 + 5))*(-90511*b**2 + 4*b**3 + 90511*b**2) as d*b**4 + r*b + o + t*b**3 + u*b**2 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -34\/65, -1\/3, -1404\/181?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 2227971.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k - 2*v = -0*v - 2, 0*v + 3*v = -k - 0*v - 4*v + 7 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.8944 to the nearest integer.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8*c + 6005 = 11*c, -4*x + 2*c + 4782 = 0. Suppose -26 + x = 4*k. Is 295 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/27)\/(-6 - (-74)\/12). Let f = -7.3 - -7. What is the third biggest value in z, f, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/(-2)*(-10)\/30. Let n(h) = 4*h**3 - 11*h**3 + a*h**3 - 14*h**2 - 6 - 14*h. What is the units digit of n(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**5\/20 - 7*u**2 + 11. Let y(v) = 88*v**2. What is q(y(m))?\nAnswer: -23232*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(68)\/sqrt(4) + 4)**2 + sqrt(34)\/sqrt(2) + -4 + (-1 + sqrt(2057))**2.\nAnswer: -13*sqrt(17) + 2087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38188690 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3249239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, 12 in descending order.\nAnswer: 12, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 = 1, 5*s + 2*j = 230. Let p = 74 - s. Let t(h) = 3*h + 4. Calculate the remainder when p is divided by t(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*r + 4 = 0. Find the second derivative of -2*u**3 + 5*u**3 - r*u + 0*u wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 10*i**2 + 8*i + 8. Is 26 a factor of k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9821983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130 + -121. Calculate the smallest common multiple of 8 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, r: 2, a: 2}. What is prob of picking 1 a and 1 r?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/278154 and -55\/92718?\nAnswer: 278154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/2)\/1 + 203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2. Suppose f + 0*f = 0. Let t(h) = f*h - 2*h + 0*h. What is t(q(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (352\/20)\/(4\/(-30)). Let f = z + 64. Let g = f + 116. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 2:55 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39056 by -3.\nAnswer: -39056\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323 - 2482170805.\nAnswer: -2482170482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73.4 + -0.1. Let y = 74 + j. What is the nearest to 1\/2 in -0.1, 6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/3 - 5*z**3\/3 - z**2 + 5*z\/3 + 4\/3.\nAnswer: -(z - 1)*(z + 1)**2*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 2*y**5\/85 - 13*y**4\/34 + 4*y**3\/17 + 352*y**2\/17 - 1280*y\/17 - 1770. Find j, given that i(j) = 0.\nAnswer: -5, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 140934*i + 29596133. What is x(-210)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 10:12 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8306649 + 852412 - 670798 = 497*p. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 369 - 347. Let o(p) = 4*p. Let f be o(2). Let r = 16 - f. What is the remainder when j is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -782 and -1?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 7*a - 294. Suppose a = 3*u + 2*t, -5*u = -2*t - 3*t - 10. Suppose 0 = x + 4*v - 20, 2*x - 4*v - u = 71. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10910364.\nAnswer: 2, 3, 701, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5196772 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 7*k**2 + 5*k - 4. Suppose -29 = 3*t + 1. Let j be t\/2 - (-1 - -1). List the prime factors of w(j).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7*(-30)\/(1050\/(-35))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290058840 divided by 3222876.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000110110001011010110 (base 2) to base 7.\nAnswer: -52352155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Let j(n) = n**2 + 8. Let u(a) = 13*a**2 - a + 116. Let y(k) = -14*j(k) + u(k). Calculate y(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + -3*(-1 + (sqrt(1377)*-4)**2 - (-5*(sqrt(68)\/sqrt(4))**2 - sqrt(119)\/(sqrt(7)*-1))).\nAnswer: -66346 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-36))\/((-1)\/(-62)). Suppose 0 = -3*h + u + 38. Suppose -6*w - h = -227. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -13*z - 13. Let h(o) = -6*o - 6. Let i(y) = 4*d(y) - 9*h(y). Let m be i(11). What is the greatest common factor of 60 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (2 + (1 - 3)). Let t be 10\/25 - (-63)\/j. Does 12 divide (0 + 1)\/(1\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473416, 474877, 476338, 477799, 479260?\nAnswer: 480721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -79*p**2 - 91*p**2 + 1588*p + 1584 - 83*p**2 + 257*p**2 = 0.\nAnswer: -396, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -27*z - 2064. What is a(-72)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -53, 4, -4, 2 in descending order.\nAnswer: 4, 2, -3, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7117*x + 85501. What is b(-12)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**6\/60 - x**5\/60 - x**4\/6 - x**3\/6 - 10*x**2. Let y(a) = -a - 4. Let l be y(0). Is i(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-84)\/(-60) + (-3)\/(-5). Let c(f) = 3 - 4*f**3 - 5 - 1 + 3*f**2 + 1. What is c(k)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/70)\/(-2*1\/(-4))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 0 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 114 + 102?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, l: 4, n: 2, q: 1}. What is prob of picking 1 l and 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/89, 5, 17, -1\/169, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-133700)\/(-49) - (-4)\/14. Let b = m + -2737. What is the common denominator of b and -47\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 14 = -54 - 47 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -s + 4*f, s - 2*f - 25 = -2*s. Suppose -3*j + 17 = 4*w, 2*j - 96 + 82 = -4*w. Solve -4*t + 3 = -t + z, -16 = -s*t + w*z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188.7769 millilitres to litres.\nAnswer: 0.1887769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6) - (-4)\/6. Suppose n + 0*n + 138 = k. Calculate the remainder when (6\/9)\/((-4)\/n) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 399783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1023323?\nAnswer: -1023322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 32 = -5*a, 0*a = -5*r + 2*a - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - 833612?\nAnswer: -833627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-3*(-2)\/3. Let h be 4\/(-14) - 60\/(-14). Suppose -3*a + 40 = 2*z, -h*z + 3*z = -q*a + 15. What is the highest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15\/506, -0.69, 1, 0.54?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 10 = -10*p. Calculate the smallest common multiple of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(931) + -4)**2 + 3.\nAnswer: -224*sqrt(19) + 3791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*0\/(-28). Solve 0 - 3\/2*y**2 + m*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -1137 - 3263. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42\/11 in -0.79, 4, 1\/4, -0.1, 0.007?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8007207959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 302686.2 centuries?\nAnswer: 30268620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(833) + sqrt(833) + sqrt(833) + -1 + sqrt(833))**2.\nAnswer: 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 47 - (8\/(-2) + (-7 - -9)). Suppose -17*a + 19 = -q. Solve 1 = 5*f + 3*y, -2*f - 7 = -a*y + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-7)*y)*y)**(1\/8)\/(y**(-1))**(2\/3) assuming y is positive.\nAnswer: y**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 39a085?\nAnswer: 39a091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 88*b - 23 - 66*b + 6. List the prime factors of r(14).\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47404 + -28133. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 - (-2 + -29 - 34)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 4*m - 5 = -o, o = m + 1. Suppose -11*u - 638 + 1562 = o. What is the highest common factor of 84 and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 17*u**3 + 2*u + 4. Suppose -3*z + 5*d = -961, -z + 969 = 2*z + 3*d. Let p be 2\/(-11) - z\/(-77). Let t be i(p). What is t rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*x**2 - 257*x + 36900 - 37080 - 55*x**3 - 5*x**4 - 88*x - 240*x**2.\nAnswer: -5*(x + 1)*(x + 3)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33590 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.4 + 23. Which is smaller: -1\/4 or d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*n - 8 = -623 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4055 + -224?\nAnswer: 3431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (2 - -1 - 2) - (10 - 12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*122289.7.\nAnswer: -14674.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -1 + 0 - (13 - 6). Which is the closest to 1? (a) -5\/2 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(3\/8))\/r*r**(-19)*r)\/((((r*r**19)\/r)\/r)\/(r*r**(-3\/2)\/r)) assuming r is positive.\nAnswer: r**(-289\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/7)\/z)\/z)**(-37)\/((z**(-4\/7)\/z)\/(z*z**(-6))))**(3\/19) assuming z is positive.\nAnswer: z**(180\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 193453526527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1)\/p*p*p*(p\/((p**(-6)*p)\/p))\/p)**(-22)*(p**0)**4\/(p**5\/p**(-2)) assuming p is positive.\nAnswer: p**(-205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and (-140)\/(-21)*(-3036)\/(-88).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/224495425 and -61\/275.\nAnswer: 224495425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184285*a**2*y**2 - a*y**2 - a*y - 394*a + 797*y**2 wrt a.\nAnswer: -368570*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 + -4) - (5 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*4 + 6*(-2)\/6. Solve g = i - 3*q, -4*i + 0*q + 10 = -5*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 3. Let s be u(2). Let w be (s + 6\/(-15))*5. Solve -2*a - w = 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)\/((-112)\/14).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 25 + 11 = 0. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*8.8.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -428*r. Let a(g) be the first derivative of g**3\/3 - 15. Determine a(v(s)).\nAnswer: 183184*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -10311?\nAnswer: -10304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2565? (a) 2\/5 (b) 6\/11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine sixths of a millennium?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 divided by 2?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 962959 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: What are the prime factors of 1146014?\nAnswer: 2, 573007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 13*i = 5224. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 568687.\nAnswer: 1\/568687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 8. Let b be c(7). Suppose -4*y + 20 = 0, -2*y - 5 + b = -2*t. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {i: 5, j: 3, s: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + t**2 - 4*t)*(3*t - 2 + 1 - 4*t).\nAnswer: -t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -16*d + 276. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**6\/6 + 3*x**5\/2 + 5*x**4\/12 - 20*x**3 + 40*x**2 + 34*x. What is n in v(n) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.85 - -1.75. Let r = 26 - 11. Let a = j + r. What is a rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -428.09 - -428.031058. Let d = 0.059 + n. What is d rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013302453 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1573 divided by 13051\nAnswer: -1573\/13051","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 100451801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 13*l**2 - 12*l + 101. Determine n(7).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 138 = 179. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51 - 103?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*f = 604*f - 196 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = -6*w - 3*i, -5*w + 2*i = -36. What is the highest common factor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165797 at least as big as -165762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 + 6.04. Let d = -5.6 + g. Let f = d + -0.7. Which is the second biggest value? (a) f (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 487 - 437. List the prime factors of q\/5*(-1554)\/(-35).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 765*o**3 - 100*o**3 + 1274*o**3 + 3718 - 731*o**3 wrt o.\nAnswer: 3624*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*c - 45 + 38 + 19 + 17 to the form i*c + q and give i.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5239109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4632 = 45*s - 235 + 637. What is the highest common factor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 518\/49 + 6\/14. What is the greatest common divisor of d and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24206 and 1556974?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 63156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 + 2*a**2 - 7*a**2 + (2 + 2 - 6)*(3*a**2 - a + a) - a**2 + 4*a**2 - 2*a**2 - 3*a**2 + 2*a**2 - 2*a**2 + (3*a - 2*a - 2*a)*(2*a - a - 2*a).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*k**3*p - 5*k**3 + k**2*p - k**2 + 166*k*p - 12*k wrt k.\nAnswer: 54*k*p - 30*k + 2*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 14*c + 3. Let h be r(-13). Let i(b) = 13*b - 282. Let q be i(23). Is q >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let t(r) be the third derivative of -r**4\/6 - 13*r**3\/6 - 165*r**2. Give 3*j(w) + t(w).\nAnswer: -w - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10370 is divided by 1295?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 8. Let n(k) = -23*k - 138. Let y be n(-6). Are y and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 208, 415, 622, 829?\n\"Answer: 207*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 39, -4.\nAnswer: -4, 39, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c + 612 = 0. Let l = -304 + c. Solve -m - l*p - 1 = 5, -3*p = -m + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 w when three letters picked without replacement from vbwwvvfzofzo.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 7 = 80. Suppose 2*h + 8 = -z - 18, -28 = z + 3*h. Let w = z - v. What is the remainder when w is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710 + 1875 = -55*d for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157*o**2*t**2 + 124*o**2*t - 3*o**2 wrt t?\nAnswer: 314*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -307.5 + 5.5. Let n = -147 - m. Let b = n + -155.000099. What is b rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51, 89, 151, 249, 395, 601, 879?\n\"Answer: 2*a**3 + 24*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + c**2 - 1 - 5*c**2 - 2*c + 2*c + (-2*c + 0*c + 0*c)*(c - c - c) - 81*c**2 + 86*c**2 + 88*c**2 as p*c**2 + v + i*c and give p.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 5. Let v(u) = -1. Let t(p) = 3*i(p) - 15*v(p). Let c(l) = 5*l**2. Calculate t(c(k)).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 0*b**6 + 19\/105*b**7 + 0*b**4 + 0*b + 23\/3*b**3 + 0*b**5 - 31*b**2 + 0. Differentiate m(o) with respect to o.\nAnswer: 152*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200024 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 164935.9152 microseconds in weeks?\nAnswer: 0.0000002727115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-48)*8)\/(2\/(-3)). Let w(f) = 2*f**2 - 20*f - 38. Let r be w(m). Solve u + r*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v + 17. Suppose -15 = -5*n + 20. Let d be m(n). Let h be (-6)\/15 + 12*(-65)\/50. Is d less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4\/2 - 31*g**3\/2 - 357*g**2\/2 - 1813*g\/2 - 1715 = 0. What is g?\nAnswer: -10, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzjhs. Give prob of sequence hjh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Let y(a) = 6*a**2 - 27. Let p(s) = 12*s**2 - 53. Let c(i) = w*p(i) - 9*y(i). Find the first derivative of c(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-321 - 6 - 95)*(-3*x + x + x).\nAnswer: 422*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x + 3*x - x + 11 - 9*x. Let f be b(-3). Solve 4*g - 5*i = -7, 0 = 3*g - i - f*i + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 15*p = -45*p + 832. What is the highest common divisor of p and 506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 484507, 3, 2 in descending order.\nAnswer: 484507, 3, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + b + 1, -q + 6*q + 5*b = -5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + 1 + sqrt(1088)*2 - sqrt(1088).\nAnswer: 1 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35879491 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**4\/24 + 235*b**3\/6 - 469*b**2\/4 - 3407*b. Solve u(w) = 0.\nAnswer: 1, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13038, -52139, -117306, -208539, -325838, -469203, -638634?\n\"Answer: -13033*b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 - 2 = 0. Suppose s*r - 4*u = 108, 2*u - 131 = -5*r + 6*u. Let o = r - 19. Solve j + o = -1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22248221 divided by 17477\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:16 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 11*s**3\/6 - 53*s**2\/2 + s - 30. Let o(y) = -4*y + 18. Calculate -8*o(d) - 3*t(d).\nAnswer: -d + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2142 + -2130. Calculate the highest common divisor of b and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -166921573*x. Let h(i) = -2*i**2. Give h(b(n)).\nAnswer: -55725623065588658*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -72*d + 2. Let r(a) = -214*a + 6. What is 11*l(i) - 4*r(i)?\nAnswer: 64*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -34*3789\/364. Let m = n + -4522\/13. Find the common denominator of 62\/44 + (-6)\/(-3) and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14427*r - 14461*r + 95778. Calculate the remainder when r is divided by 939.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 less than 2.5?\nAnswer: -20.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -443 and 5837 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*t + 8098 - 8447 = 56125. What is the remainder when 3324 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5))**(2\/19)\/((k*k**(5\/4))\/k**(2\/9)) assuming k is positive.\nAnswer: k**(-7079\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -82, -125, -180, -253, -350, -477, -640?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96721 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -348, -521, -694?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 169 + 1. Let d = 60 + t. Solve 2 = -2*l - 2*j + 10, -d = l - 5*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b20b8 - -226?\nAnswer: 2b2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 371*q**2 + 2*q. Is o(-1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 - -2 - ((51 - 22 - 6) + -1 + -11)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-35) + (-473)\/(-5). Let q be 32\/(-5)*y\/38. Sort q, -5, 3 in decreasing order.\nAnswer: 3, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q**3 - 4*q**2 - 5*q - 2. Let s be i(5). Let y = s - -2112. Suppose 0 = 4*b - y - 192. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/4 (b) -86\/31 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1199916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/(-8))\/1*2. Suppose 6*l + 18 = z*l. Let q = l - 18. Sort -2, 3, q in decreasing order.\nAnswer: 3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388, -504, -618, -724, -816, -888?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u - 4*u + 84. Does 14 divide 201\/u - 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 19*j + 38. Let n be w(-17). Let v(y) = -n*y + 2*y + 4*y. Let l(p) = -3*p**2 + 2*p**2 + 7*p**2. Calculate v(l(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -338 - -2343\/7. Let q = 3 + t. Let x = -10 - -10.2. Which is smaller: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 2*y + 49. Let f be i(8). Let t = 27 + -22. Solve 2*u + l - 2*l = f, u + 5*l = -t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*f + 376*f - 190*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1830 divide 90506310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15a3 (base 12) in base 4?\nAnswer: -220023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/5)\/(6\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 221*u**2 + 224*u**2 + u + 64*u**3.\nAnswer: 64*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - -2 - (-4 - -2). Suppose -2 + u = 2*y. Let z(p) = -5*p + 5*p - 3*p**y. Let q(s) = 4*s**2. Determine z(q(x)).\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5\/6 + 2261*s**4\/3 + 754*s**3 - 2261*s**2\/3 - 4523*s\/6 = 0. What is s?\nAnswer: -1, 0, 1, 4523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-24) - (-268711)\/233464\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 530 = 4*a - 2*a, 5*a - 660 = -5*h. Suppose 87 = 3*w + 2*p, 2*p = -4*w + 5*p + h. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44726 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 174\/928 + 68\/320. Which is the nearest to 0? (a) 0.5 (b) 2\/7 (c) 2\/159 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3\/(-5) - 308\/70) + 2211\/11 is divided by 88.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3214.\nAnswer: 2, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18\/9191 - -9299\/55146. Let w = 0.2 - -0.2. What is the third biggest value in -2, -0.3, g, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -22. Suppose -6 = -f - 2*y, 4*f - 6*y = -y - 2. Suppose -d = -3*n - f. Solve -n*r - 12 = -7*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-4))\/(y*y**(-4)\/y)*(y*(y*(y\/(y\/((y**0\/y)\/y)))\/y)\/y)**(-25) assuming y is positive.\nAnswer: y**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8*t + 26. Let u be (8\/(-18))\/(35 - (-2504)\/(-72)). What is m(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -0.5. Let j = 0.3 + t. What is the second biggest value in j, 1, -5\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s. Let q(f) = 2*f - 1149. Calculate y(q(o)).\nAnswer: 6*o - 3447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*f**4 + 8758864*f**3 - 7997691*f + 1?\nAnswer: -132*f**2 + 52553184*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*f = 6, 4*f = -b + 402 - 393 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.258 - -12.158. Let m = -8.12 + 0.12. Let t = w + m. Round t to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -22162928?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 8:27 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 6 = f + f, 3*f - 12 = 3*j. Let r = f + -7. Sort r, 3, 5.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-18\/7)\/(r**(-2\/7)*r)*(r*r**(-2\/45)\/r)**(8\/3))**(2\/15) assuming r is positive.\nAnswer: r**(-6434\/14175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 197740548 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3833523846 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -368*n + 34. Let s be g(-2). Is 771 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3444 (base 6) in base 4?\nAnswer: -30310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 7. Let c(z) = -z**3 + 2*z**2 + 2*z - 1. Let g be c(3). Let i be (-14)\/(-7) + (-3 - -1). Let f = i + g. Calculate j(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 2275*n**4\/3 + 2533*n**2\/2 - 4*n - 271. Differentiate h(s) wrt s.\nAnswer: 18200*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115 by 6.\nAnswer: 115\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32365.461 rounded to the nearest ten?\nAnswer: 32370","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by (-68)\/(-4) - (-8)\/2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 30 + 3*p + p**3 + 52 as o*p + r*p**3 + m*p**2 + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 10*y - 13*y + 11*y - 72, -2*y = -2*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1226 (b) 339 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1016*v**3 + 190. Let s(q) = -339*q**3 + 62. Let m(h) = -7*s(h) + 2*t(h). Find the first derivative of m(r) wrt r.\nAnswer: 1023*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 4)\/((-938)\/268 + (5 - 2))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6879, 6877, 6873, 6867?\n\"Answer: -m**2 + m + 6879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 13*r - 13*r + 2*r + r**2 as n*r + t + o*r**2 and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 54175\/7 and 7739 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 10 = -3. Let h be 75\/(-6)*-78*20\/(-15). Is (-3)\/k - h\/70 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*l + 280*l + 281*l + 304*l - 1434*l + 280*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6360 + 0.64617.\nAnswer: -6359.35383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/25 (b) 4\/3 (c) -3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/1253?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1005 = 3*o + 32*n - 35*n, 0 = 2*n - 10. What is the remainder when o is divided by 82?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -6*d + 9*d**3 + 1 - 21\/2*d**2. Let b(r) = 0. Calculate r.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m = -4. Let c(y) be the first derivative of -y**5\/20 - y**4\/12 + y**2 - 3*y + 15. Let h(s) be the first derivative of c(s). Give h(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -23*t - 92. Give n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40035.861 nanoseconds to hours.\nAnswer: 0.0000000111210725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154e (base 16) to base 11.\nAnswer: -4109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.08 + 11. Let n = 0.79 + 5.11. Let j = n + -4.9. Do i and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbbwk. What is prob of picking 1 w and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/44*3805\/22830.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:19 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 25 = -2*x, -x + 28 = a + 4*x. Suppose 0 = a*q - 79 + 31. What is the units digit of 8\/q*(-1 + 35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1157 - -1253. Let v(w) = -37*w + 2. Calculate the remainder when b is divided by v(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 18. Which is the closest to -2? (a) p (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47\/(-1645))\/((-37)\/3515)?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**5 + 8*n**4 + 53*n**3 - 93*n**2 + n + 11.\nAnswer: -60*n**2 + 192*n + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 41*q**6\/360 + 28*q**4\/3 + 280*q**3\/3 + 39. Let t(p) be the third derivative of s(p). What is the derivative of t(m) wrt m?\nAnswer: 82*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 + 47*y**2 - y + 80. Let h(l) = -l**3 - 16*l**2 - 27. Let o(f) = -17*h(f) - 6*n(f). What is the remainder when o(-11) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + (-2 + 6 - -1111)?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 18 = -5034*q + 5033*q, 32 = -f + 3*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9640 + -184360. What is a rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288\/(-72)*1\/((-48)\/(-3))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -71 + 56 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219528 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 3*w - 14, -5*v - 4*w + 12 = -14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-8 - 28) + (-1 - (-10 - 0))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.89 - -1.9. Put 5, y, 3 in ascending order.\nAnswer: y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - 4*a**4 + 5*a**4)*(-1 + 0 - 1) + (-2*a - a + a)*(-5*a**3 - 5*a**3 + 2*a**3).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1411 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + q = -3, y - 3*q - 8 = 1. Suppose y = 8*a - 5*a - 6. Suppose a*c = 86 + 78. List the prime factors of c.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, g: 5}. What is prob of sequence gg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 q, and 1 d when three letters picked without replacement from wtwqtnqnqqqwunqdtt.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 4*l**3 + 5*l**3)*(-3*l + l + 0*l) + 0*l**2 + 6*l**4 - 11*l**4 - l**2.\nAnswer: -3*l**4 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from wooiwi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 + 94*z**2 - 24684*z\/7.\nAnswer: 2*z*(z - 34)*(z + 363)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + i + 2. Let p be k(0). Let r(q) = -4*q**2 - 6*q**2 + 12*q**p. Let f(z) = -2*z. Calculate f(r(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1998720 and 249840?\nAnswer: 1998720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeze. Give prob of sequence eeze.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -1a779?\nAnswer: 1a782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 604 + 2?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*i - 5 = 0, r - 1053*i - 1 = -985*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/33 + (-108)\/11. Let q = 9 - v. Suppose 0 = -o + q + 4. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69930.01l to millilitres.\nAnswer: 69930010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 6*v + 8. Let t be w(-6). Suppose 4*p + 542 = 5*m, -5*m - 3*p + 9*p + 528 = 0. Calculate the highest common divisor of m and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 38*a**2 + 13*a + 4. Is o(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27\/2395 - 1134428\/141305. Which is bigger: w or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77050?\nAnswer: 2, 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 676526593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 26 = 6*w. Let n(f) = 17*f**3 - 2*f**2 - 2*f - 13. Let g(r) = 8*r**3 - r**2 - r - 6. Give w*g(a) + 6*n(a).\nAnswer: -2*a**3 + a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5\/2 (b) 1 (c) -1518 (d) -0.3 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:51 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13498274 is divided by 99?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21136\/3763431 - 2\/10199. Let y = 160425328945\/738 - 217378462. Let a = y - h. Find the common denominator of a and 8\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634 = -339*d - 295*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from uttututttu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 7*w + 6. Let m be g(-8). Let v be m\/5 + (-3)\/(-15). Let o = 2 - 1. Which is the closest to -1? (a) o (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z + 10. Let m be (5 + 2 + 2)\/(-1). Let b be -1 + (8 - 2)*(-12)\/m. Give w(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 361\/1782 + 2\/81. Find the common denominator of 41\/10 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 10, b: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206639790 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 196128855\nAnswer: 4\/196128855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 101?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 33. Let p be (-12 + 2)*((-44)\/(-10) + v). Solve 2*k + 6 = 5*g, 0 = -3*k - 2*g - p - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -13\/4. Which is smaller: r or 13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {t: 6, d: 4, k: 4}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147439 and 6110.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 82*h**2 + 923*h + 29. Determine u(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 362861978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -8*p**5\/15 + 142*p**4\/15 + 116*p**3\/5 + 238*p**2\/15 + 8*p\/3 = 0?\nAnswer: -1, -1\/4, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 8 + 0*l + 0*l**2 + 4\/3*l**3. Let a(g) = 8*g**2. Give q(a(m)).\nAnswer: 256*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 + -35. Let h = v + 272. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + 2*y**2 - 2*y. Let k = 1 + -2. Let s(p) be the first derivative of -p**4\/4 + p**3\/3 - 1. Give k*v(l) + 4*s(l).\nAnswer: -l**3 + 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1797460342 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**4\/6 - 5*f**3\/6 + 13*f. Let v be a(3). What is the biggest value in 11, v, 1\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 7:03 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141 and 21?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -g + 2*g - 4*m, 4*g = 3*m + 423. Suppose -h + 348 = 4*d, 0 = -2*d + d + 5*h + g. Is d a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-30) + 26\/520.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19558511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g - 402 = -27*g - 2*g + 966 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 1. Let y(i) = -3*i**2 - i + 2. What is 4*d(b) - y(b)?\nAnswer: -b**2 + b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (6 - (1 + (-19 - -6)))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 6*u + 13 = a, 5*a = -5*u + 20 - 30 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 76, 95, 128, 181, 260?\n\"Answer: k**3 + k**2 + 9*k + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = n + 5*w, 0*w = 2*n + w - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*d - 61*d + 630*d.\nAnswer: 725*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 1386*x + 18134. Calculate a(13).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.82 + -4.82. Sort x, 0, 2\/3, 4.\nAnswer: x, 0, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzgh when four letters picked without replacement from zgzhnzzzg.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*b**2 + 124500*b - 5*b**2 - 6*b**2 - 2*b**2.\nAnswer: -43*b**2 + 124500*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6346926 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 246 + -277 - (5 - 43) - (1 + -1 + -52)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**5\/7 - 608*g**4\/7 + 10840*g**3\/7 + 209632*g**2\/7 - 2852828*g\/7 - 32772608\/7 = 0.\nAnswer: -11, 23, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 q when three letters picked without replacement from qxqxqqqq?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 1\/2*h**4 + h**3 + 3 + 0*h**2 + 0*h. Find the third derivative of c(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**4 - 25*g**3 + 15*g**2 + 5*g - 5.\nAnswer: 5*(g - 1)**3*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 + 15*o - 395. Let z be c(-11). Calculate the highest common factor of z and 3390.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/5)\/b*b)\/(b*b**6)*b**8\/(b\/(b**(1\/4)*b)) assuming b is positive.\nAnswer: b**(21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4838, -9258, -13682, -18110, -22542, -26978?\nAnswer: -31418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -194864469*g - 138624746 wrt g.\nAnswer: -194864469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 6*u**2 - 5*u + 4. Let x be i(5). Find the third derivative of -a**x + 2*a**2 + a**2 + 0*a**2 wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1.4. Which is the nearest to 1\/7? (a) -5 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t. Let z be g(-1). Let h(v) = -9*v + 13. Is h(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -412?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Let t = 103 + -249. Let n = -146 - t. Which is the third biggest value? (a) d (b) n (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 6*j**2 + 2*j + 14. Let y be f(-6). Suppose 4*o = 12, y*d = 4*o - 0*o + 84. What is the derivative of g + d - 24 - 3*g + 14*g wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 75974364, 75974372, 75974382, 75974394, 75974408?\n\"Answer: s**2 + 5*s + 75974358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.521 - -4.479. Which is the closest to 1\/4? (a) -1 (b) 2\/5 (c) t (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(1\/2)\/x)\/x*x*x\/((x**(-22)\/x)\/x*x*x*x))\/((x**(3\/22)\/x)\/x*(x**(-2\/3)*x)\/x) assuming x is positive.\nAnswer: x**(859\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9261 and 3645?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69010*j**2 + 504598.\nAnswer: -138020*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*n + 6*n - 2*n**4 - 10 + 6*n**3 - 10*n - 3*n in the form i*n**3 + s*n**4 + l*n**2 + o*n + j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 f when four letters picked without replacement from foooooofooooofoooooo.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -3)*(-16 - 4). Let c(s) = -2*s**2 - 34*s + 118. Let v be c(t). Let u(m) = -12*m - 5. Determine u(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-5\/4)*f**3)**46*((f*f**4)\/(f\/(f\/(f*f\/(f\/f**(-3\/5))*f*f*f))))\/(f\/((f*f**(-1))\/f))**(-35) assuming f is positive.\nAnswer: f**(1981\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p + 230 = 84*p. Solve 16 = 3*y + 4, p*y = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + 255*a - 4 - 255*a + 72 + 75*a**2 - 72 + (0 - 1 + 2)*(0*a**2 - 2*a**2 + 3*a**2).\nAnswer: 77*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**2 + 2*h**2 + 3*h**2 + 2*h**2 - 8*h = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44768.4668 to the nearest one hundred.\nAnswer: 44800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595650.\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -0.3 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 9:07 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/((9\/(-32))\/((-29)\/(-348))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 times 0.2?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 5*q - 72. Let o(m) be the second derivative of 1\/10*m**5 + 0*m**3 + 0*m**q + 3*m + 2*m**2 + 0. Find the first derivative of o(v) wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4266567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1662 - t + 2*t + 470)*(0*t - 2*t + t).\nAnswer: -t**2 - 2132*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*6*(1\/((-45)\/(-105)))\/(-1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(3) + -4 + 1 - sqrt(24)\/(3*sqrt(128)))*5.\nAnswer: -100 + 275*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8*j + 21 = -5*j, 4 = j. Let z be -3 - a\/((-6)\/(-8)). Solve 6*u + 25 = z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwvx when four letters picked without replacement from {w: 1, z: 3, x: 5, l: 1, v: 1}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18347 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.5 - 5. Let b = j + -0.1. What is the third smallest value in -3, b, -2\/23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/15)\/(z*z**(-22)))\/(z**(10\/3)*z\/(z*z\/((z\/z**(1\/61))\/z))) assuming z is positive.\nAnswer: z**(17156\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*x, -2*p + 2 = -4*p - 4*x. List the prime factors of p*(-2 - -2) + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19289.84 years in decades?\nAnswer: 1928.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*f**2*m**2*y + 2*f**2*m*y + 4*f**2*m - f**2*y + 62*m**2 with respect to y.\nAnswer: 22*f**2*m**2 + 2*f**2*m - f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*n**3 - 17*n**3 + 126*n**3 + (2*n + 3*n - 3*n)*(-3*n**2 - 3*n**2 + 5*n**2) + 2*n**3 - 3*n**3 - n**3 as y*n**3 + q*n**2 + l*n + h and give y.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -18)\/(2\/(-5)). Suppose 4*b - 4401 + 1213 = 0. Is (b\/(-5))\/(9\/y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*a*q**2*y**3 - 165*a*q**2*y - a*q*y - 240*a*q + 3*a*y**3 + 2*y**3 wrt q.\nAnswer: -120*a*y**3 - 330*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 5*n**2 + 5*n - 5. Suppose -5*y - 18 = 3*r, -12 = -5*r + 8. Give u(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -26.33958?\nAnswer: 0.7901874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -3113*s**5\/20 + s**4\/6 + s**3\/3 + 737*s**2\/2 - 21*s + 20. What is the third derivative of a(y) wrt y?\nAnswer: -18678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -552920, -1105836, -1658750, -2211662, -2764572?\nAnswer: -3317480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4515747183?\nAnswer: 3, 71, 839, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/76 and -59\/3686.\nAnswer: 7372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 36*g - 32. Calculate k(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b - 20. Let t be 2 + 64\/(-3 + 4). Suppose 0 = 4*j + 4, 2*j - t + 8 = -4*u. Is l(u) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -3*h**4\/8 - 4*h**2 - 16*h. Let z(y) be the first derivative of r(y). Let f(k) = -4 + 3*k**2 + 3 + 1. What is f(z(d))?\nAnswer: 243*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 + 20*j**2 - j + 4. Let b be l(9). Sort b, 4, 2, -2 in ascending order.\nAnswer: -2, 2, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-10))\/(6\/20). Suppose -d*a + 115 + 81 = 0. Suppose 2*k - 109 = a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -21*i**3 - 17*i**2 + 13*i + 17. Let k(h) = -3*h**2 - 2*h + 15. Let s be k(-3). Let z(x) = -10*x**3 - 8*x**2 + 6*x + 8. What is s*t(l) + 13*z(l)?\nAnswer: -4*l**3 - 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.062 - 0.091. Let v = q - 0.271. Which is the smallest value? (a) -2\/3 (b) -1\/8 (c) v (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/18138181 and -31\/1072250?\nAnswer: 4534545250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1072 (b) 5 (c) -10\/7 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, e: 8, x: 2, p: 2}. What is prob of picking 2 x?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1343, 5749, 13093, 23375, 36595, 52753?\nAnswer: 71849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = 18*o + 2430 - 2280 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.47 + -63.47. Let k = -62.9999829 - x. What is k rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -21. Let k = -1 - j. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32848 is divided by 16353.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + 0.49999826. Round b to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -40 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 2:08 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7) - (1 + (-45)\/35)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13\/4 + -811\/252. Which is the fourth smallest value? (a) -5 (b) v (c) 0.4 (d) 1 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from plyltsp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 19 = -3*k + 79, 4*k - 7*s - 2*s = -214 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 32 = -24. Is 23 a factor of 2665\/39 - (c\/3 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55856552.\nAnswer: 2, 29, 71, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8918111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177371583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjttntq. What is prob of picking 1 n and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*j**5 - 873*j**4 - 36*j**3 + 28885097*j wrt j.\nAnswer: -600*j**3 - 10476*j**2 - 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4490)\/(-8) + 3\/(-12). Let r(v) = 9*v**2 + 10*v + 6. Let c be r(9). Let q = c - d. What is the highest common divisor of 24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 22. Let n = q + 2. What is the second biggest value in -0.4, 7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 496, 1072, 1722, 2446, 3244?\nAnswer: 4116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllfflwawa. What is prob of sequence fw?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 2. Let n be k(2). Let b(v) = v**3 + 24*v**2 + 21*v - 45. Let w be b(-23). Let i(q) = 16404*q + w - 3 - 16402*q. Determine i(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 79 + 66)*(-2*p**2 + p**2 - p**2)*(0*p + 4*p - 3*p).\nAnswer: -352*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 7*z - 5*z - 6, o = 4*z - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**3\/3 - 9*d**2\/2 + 6*d + 80. What is u(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8909304979.\nAnswer: 379, 23507401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 858140065?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 9:46 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6}. What is prob of picking 4 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (464\/(-30) + 16)*((-216)\/16)\/((-9)\/6).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10619\/2 + -5310. Suppose -2*u = 2 - 0. Which is the nearest to u? (a) -0.07 (b) 1\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 - 105. Determine n, given that p - 2\/5*n + 9\/5*n**4 + 13\/5*n**2 - 24\/5*n**3 = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79.087 - 0.087. Let c = -78.9923 + j. Round c to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = d + 7*d - 1301275. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59658 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(30)*3 + (sqrt(1470) + (sqrt(1470)*-1 - sqrt(1470)) - sqrt(1470)) + sqrt(1470))\/((sqrt(36) - sqrt(36)*1*-6)\/sqrt(6)*5).\nAnswer: 4*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1198 times 7\nAnswer: 8386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + y**2 + y + 1. Suppose -95 = 94*f - 113*f. Let p(d) = -9*d**3 - 5*d**2 - 6*d - 5. Give f*s(r) + p(r).\nAnswer: -4*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) + 110\/(-25). Let x be 83\/(-9) + d\/(-18). Let v be (-3)\/(x\/3) - -1. Solve -v*y - y = -12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 5. Let k(a) = a**2 + 6. What is 5*k(h) - 6*l(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 8*o + 5. Let c = -30 + 22. Let y be (-48)\/(-30)*(c + 3). Determine h(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135534 is divided by 242?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 595265 or 595263?\nAnswer: 595265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*z - 32956 - 105364 = -2718*z for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.017975613?\nAnswer: 0.089878065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*g*h**2*m - 2*d**2*g + 4*d**2*h**2*m - 2*d**2 - 9*d*g*m - 4*d*h*m + 41*g*h**2*m wrt h?\nAnswer: 2*d**2*g*m + 8*d**2*m + 82*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 - -79. What are the prime factors of a?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 201 and 3283.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 12068 = -3*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -88.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 108.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11040, -11035, -11026, -11013, -10996?\n\"Answer: 2*c**2 - c - 11041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-10))\/(((-4)\/(-5))\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45724 plus -41761.251?\nAnswer: 3962.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000586617 to 7 dps.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**6\/540 - 4*f**5\/135 - 4*f**4\/27 - 7*f**2 + 34. Let j(d) be the second derivative of q(d). Suppose j(w) = 0. What is w?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*((((p*p**1)\/p)\/p)\/p)\/p*p)\/p*p*p**(-6)\/p)**50 assuming p is positive.\nAnswer: p**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8466 divided by 13.\nAnswer: -8466\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -73, -426, -1379, -3232, -6285?\n\"Answer: -50*b**3 - 3*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3*(-5)\/(-5))\/(-1))\/(6\/(-152)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5 - 39*j**4 + 89*j**3 - 69*j**2 + 17*j = 0?\nAnswer: 0, 1\/2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 0*u - 1 - 26*u**4 + 5*u**3 + 45569*u**2 - 45568*u**2 to the form m + i*u + k*u**4 + b*u**2 + g*u**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 5059 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: 1 (base 2) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*u**4\/11 + 188*u**3\/11 - 778*u**2\/11 + 1084*u\/11 - 336\/11 = 0. What is u?\nAnswer: 3\/7, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 153710764*t**2 + 145292*t - 151 wrt t?\nAnswer: 307421528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/345944 and 5\/39596.\nAnswer: 6572936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986381767.\nAnswer: 7, 73, 1930297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d - 14 = -b, 2*b = 4*d - 12. Suppose -d*f + 12 = -12. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -268? (a) -5 (b) -0.5 (c) -4 (d) -1 (e) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -127767*s**2 + 10*s + 26. Let g(t) = -383303*t**2 + 28*t + 79. Let j(z) = -6*g(z) + 17*u(z). Let a be j(-6). Round a to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*k + 65*k - 142*k + 41*k + 1.\nAnswer: 6*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-15))\/(8\/(-6)). Let q be (-483)\/(-76) - 6 - 1\/4. Let z = -439\/6 + 73. What is the third biggest value in w, z, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 1)*(2*b + 2*b - 20*b) + 7*b + b - 3*b to v*b + d and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 - 4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/185652 and -49\/444.\nAnswer: 6869124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/4 + 749*a**3\/2 + 5071*a**2 - 45057*a\/4 + 5819 = 0. What is a?\nAnswer: -23, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -18. Let j = 196 - n. Suppose -g + 54 = 4*o, 2*g = -3*g - 3*o + j. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 1 + 11 = 3*s + 2*h, -8*s + 5*h - 207 = 96*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3027 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcuccctcuzczuzztctmm. What is prob of sequence zmt?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + -76. Solve -y*d = 3 - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j + 7. Let o(f) = 7*f + 7. Let k(h) = 5*o(h) - 4*p(h). Calculate the remainder when 61 is divided by k(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195269*t**3 + 9 + 2*t**4 + 195266*t**3 + 7*t**2 + t**2 - 2*t to s*t + u*t**4 + j + r*t**2 + c*t**3 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 439842614 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597589 to the power of 1\/2, to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.6. Let n = 65 - 55. Let m = n + -9.8. Which is the nearest to m? (a) 5 (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -10\/13, 15, 3?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(84) - (sqrt(84) + 2*sqrt(84))*-6) + sqrt(84)*-2*-2 + sqrt(84))\/((sqrt(768)*-1 + sqrt(768))*-5 + -2*sqrt(768)*1))**2.\nAnswer: -12*sqrt(7) + 127\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 44 = -s. Let o be 1368\/14 - 12\/s. Suppose -4*h + 3*b + o = 0, 2*h - 3*b = -b + 50. Calculate the remainder when h is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -43 (b) 0 (c) -6\/17 (d) 1 (e) -4 (f) -9 (g) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 60753780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbnnjjnynnnnnnjjn. Give prob of sequence bn.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**3 + 2*w**2 + 3*w + 2. What is m(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2404*p - t + 23 = -2400*p, 46 = -18*p + 2*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -637 + 638.8. Let o = 0.98 - p. Is o at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5\/10 + 47411*v**4\/5 + 474163*v**3\/10 - 1327562*v**2\/5 - 1517232*v\/5 = 0.\nAnswer: -8, -1, 0, 4, 94827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -b - 78 - 885, -955 = b - o. What is the least common multiple of b\/(-44) - 1\/(-4) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 651 and 507374.\nAnswer: 47185782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 364.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.192.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2894, -1363, 168, 1699?\n\"Answer: 1531*w - 4425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = -143*r. Solve r = p - 5*i - 9, 4*p - i = -360 + 358 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 - 17. Let f = 519\/5 - n. Let v be ((-2)\/(-30))\/(2\/6). Which is the closest to v? (a) f (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*x - 1, 0 = j + x - 18. Suppose -2*l = -5*l - j. What is the closest to -1\/2 in -2\/5, l, -1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -88, 1, -1\/1074, -38 in decreasing order.\nAnswer: 1, -1\/1074, -4, -38, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 4*r + 5*r)*(52 - 181 + 74 + (-1 - 2 + 1)*(-4 + 5 - 2))*(-2*r + 3*r + 2*r).\nAnswer: -318*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, q: 2}. What is prob of sequence qt?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from jjdjjedxuexjdj.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2791430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 1093*d + 2207*d - 1034*d = -477, 3*s - 33 = 4*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c + 16 - 3*c - 13. Let a(z) = 19*z - 5. Let p(v) = 6*a(v) + 10*w(v). Let d(r) be the third derivative of r**5\/30 - 2*r**2. Give p(d(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 5 + -16 - -13.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*u + 5 + 70*u + 140*u + 1 wrt u?\nAnswer: 169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(9\/(-3)) + 216\/(-18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/(10\/10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/45*405\/75?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/718?\nAnswer: -1\/718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/197 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**5 - 15921*l**4 - 3254070*l**3 + 6635460*l**2 + 13016232*l - 26287104 = 0.\nAnswer: -199, -2, 2, 5504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 34 + 23 + 6*y**2 + 49*y**3 - 5*y - 44*y**3 - 4. Let t(q) = -q**2 + q - 1. Let b(g) = -o(g) - 5*t(g). Find the first derivative of b(i) wrt i.\nAnswer: -15*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*p + 17. Let f = p - -117. Is f a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 5. Let v be r(-5). Let h = v + -5. Let k(o) = -o**3 + o**2 - 6. What is k(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -1386553.\nAnswer: -1386556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220793, -5, -4.\nAnswer: -220793, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = a - 3, 4*t + 0*t + 12 = -3*a. Suppose 3*p + a*p = -4*h + 19, -3*h + 17 = 5*p. Sort p, 3, 0.2 in decreasing order.\nAnswer: 3, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46140146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-259)\/(-148))\/(35\/(-50))*4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 9*i. Suppose i = -4*o + o - 9. Let s be 9\/(-4 + o + 0). Is s less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*(-49)\/(-168)*-3*((-72)\/21)\/4.\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = 4*k, 3*k = k + 2*m - 10. Suppose -3*h + 12 = 2*l - 0*h, 4*l - 4*h - 44 = k. Suppose 0 = -l*c + 5*c + 308. 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 13442 divided by 26?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 + 73. Let m be 6\/18 + (-10)\/(-6). Solve 2*z - 14 = 4*n + a*z, 2*n = m*z + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 329725 and 242?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3. Let q(b) = 2*b**3 + 10*b**2 + 3*b + 5. Let t(h) = -l(h) - q(h). Let g be 2\/(-10) + 68\/(-10) - 3. What is the tens digit of t(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -420, -421, -422, -423, -424, -425?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 (base 10) in base 16?\nAnswer: 27d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from wusu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3425066963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*z - 7. Suppose 0 = 4*j + 2*w + 62, 3*w + 11 = -4*j - 54. Sort z, -0.4, j in decreasing order.\nAnswer: -0.4, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**4\/7 - 124*k**3\/7 + 264*k**2\/7 = 0. What is k?\nAnswer: -33, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 12*w**2 + 13*w + 2. Let c be r(-13). Suppose j - 2 = c. Suppose -2 = -2*o, o + 2*o = j*y - 61. Solve 4*s - y = -0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90180 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6042, 2, -3 in decreasing order.\nAnswer: 6042, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = z - 4*q, 0*q = -4*z - 4*q + 24. Suppose 2 + 2 = -4*b. Sort 4, b, z in decreasing order.\nAnswer: 4, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 6*f**2 - 77*f + 83. Let j be l(-13). Let a(z) = 18*z. Let x be a(-2). Let u be 1\/(-2)*x\/j. What is the second smallest value in u, 5\/4, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**6\/6 + 9*c**2\/2 + 7*c + 7. Let n(h) be the first derivative of l(h). Differentiate n(d) wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37052322570.663 and -0.08.\nAnswer: 37052322570.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 860931*n + 3443722. Determine f(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1738*r**2 + 758*r + 218*r + 292*r wrt r?\nAnswer: -3476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 389415.9l to millilitres.\nAnswer: 389415900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6098 - 369*n**2 + 12291 - 6193.\nAnswer: -369*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-375) - (-99)\/(-135))*(-2)\/(-3)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 - -91. Let v(k) = k**3 + 5*k**2 + 2*k - 6. Let s be v(a). Calculate the common denominator of s\/(-3)*(-1)\/14*-67 and -119\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 474, 519, 646, 897, 1314, 1939, 2814?\n\"Answer: 7*y**3 - y**2 - y + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42358.4217 minutes in weeks?\nAnswer: 4.202224375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r + 20 = 0. Let c = r - 3. Solve 0 = -f - c*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -734*d + 12. Let w be n(3). Round w to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - -27. Suppose 5*q = -0*q + 20. Suppose g = -q*b + 230. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c - 3 + c + 5 + 6 wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 1080*s + 72900.\nAnswer: 4*(s - 135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - -246. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/310 and -59\/7.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3455225325.\nAnswer: 3, 5, 15356557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7620202649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2816 divided by -32\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004343567 rounded to 7 dps?\nAnswer: 0.0004344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-6))\/(86\/(-258))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s*x**3 + s*x**2 - 22*x**4 + 2*x**2 - 5*x wrt x?\nAnswer: -6*s - 528*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-36)\/27*47\/(403072\/96).\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 0*f**4 + 0*f**3 + 2*f**2 + 1\/20*f**5 + 0 + 0*f. Let r(v) be the first derivative of -2*v**3\/3 - 2. Determine r(p(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -56*v**2. Let i(g) be the first derivative of g**2\/2 - 234. Give l(i(m)).\nAnswer: -56*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (-2 - -1))\/(8\/12). Let w be -15*((-9)\/15)\/1. Suppose -4*p + n*l = -w, 0*l = -l + 1. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8342 = -1430. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420056 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2*p = 3*r + 18, -2*r = 2*p - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 335 + 81. Calculate the greatest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**2 - 5*p + 1. Let z = 14 - 12. Let u be (-8 - 57\/(-6))\/(3\/22). Let l(q) = 4 - 9*q**z - u*q - 1 - 1. Give -7*j(a) + 3*l(a).\nAnswer: a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4\/4 - 62626471*a**3\/4 + 326839582930563*a**2\/4 - 108946478934045*a\/4 - 108946520685025\/2 = 0. Calculate a.\nAnswer: -2\/3, 1, 10437745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-10))\/((-29)\/((-8700)\/(-40)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1529352 and 278064.\nAnswer: 3058704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002742 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 191593?\nAnswer: 17\/191593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -6*a + 9*a - 151, -4*a + 178 = -2*s. Solve -25 = -a*z + 37*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3645369 = -151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-2))\/(-14))\/(45\/(-90)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1411 greater than -1415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 746c + -16a8?\nAnswer: 5a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o - 266. Let p be m(33). Let d(y) = 11*y**2 - 2*y + 2. Let s(k) = -342*k**2 + 63*k - 63. Determine p*s(u) - 63*d(u).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27058424.\nAnswer: 2, 17, 198959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 2*i**3\/3 + 9*i**2 - 14*i - 177. Let u = 14 + -29. Does 10 divide z(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 44\/8)*2. Suppose -3*n + 11 = -2*v, 0*n + v + t = n. Suppose -45 - 9 = -2*g - n*q, -q - 130 = -4*g. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i**3 - 3*i**2 - 15*i - 1. Let f be (13 - 8)*6\/(-45)*-9. Let k(d) = 13*d**3 - 6*d**2 - 28*d - 1. Let y(w) = f*k(w) - 11*u(w). Calculate y(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 100*g**2 - 2*g + 1049338. Is v(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/17395 and -7\/20.\nAnswer: 69580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -21*w + 718. Let p be v(34). Solve 4*u + 0*b = 4*b + 4, 0 = p*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**4\/12 + 2*o**3\/3 + 2*o**2. What is the remainder when 30 is divided by h(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-96) + (-158)\/(-12). Suppose -t*n + 1190 = 20. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*z + f + 20 = -77*z, 2*f = -z - 13. Calculate the least common multiple of 2376 and z.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/108 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 1 + -1 - -5. Let h be d\/(-45) - 6486\/(-45). Let w(z) = -14*z + 653. Let i be w(46). Calculate the greatest common factor of h and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 511336*k**2*x**2 - 8*k**2*x - 3*k + 2344*x wrt x?\nAnswer: 1022672*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -97, -390, -879, -1564, -2445, -3522, -4795?\n\"Answer: -98*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5703*p + 147*p**2 - 5703*p.\nAnswer: 147*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3492 divided by 4?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (2 + (-2877)\/6)\/((-30)\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 572 and 28?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*a - 10*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 4\/9 (b) -3 (c) -1\/8 (d) -2730 (e) 0 (f) -1 (g) -0.43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9911*w = 9915*w + 4, -2*t - w - 8 = -3*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 + 7 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*f + 2964*f + 82016 = 0 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1448094*(54\/4 - 4). Let f = r + -9543107. What is f rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39\/4*(-100)\/(-15). Let i be (5 + s\/(-10))*(-4)\/3. Solve 0 = 5*a - 20, t + i*a = 4*a - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 572.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.065 and 0.3?\nAnswer: 0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 10. Find the second derivative of -u + u**4 - 3*u**g + 5*u**4 wrt u.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-27) + (-274)\/(-18). Let z be (-5)\/n - 1156\/(-12). What is the highest common factor of 24 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01029911 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 13 = -2*l, -2*l + 15 = 3*r + l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9523 is divided by 2198.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.4, 4, 5\/16 in decreasing order.\nAnswer: 4, 5\/16, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 537026.883 - 536797. Let z = -230 + s. Round z to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 14. Let w(t) be the third derivative of t**4\/12 + 4*t**3\/3 + 26*t**2. Let v be w(j). Which is smaller: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -104 (b) 0.1 (c) 0.212 (d) -11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 - 61*h\/3 - 476\/3.\nAnswer: (h - 68)*(h + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9384302 take away 681928.47?\nAnswer: 8702373.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504 divided by -126.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1547160 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k - 24. What is the remainder when 21 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -581 or 41?\nAnswer: -581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90661 (base 10) to base 12.\nAnswer: 44571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v - 457 = 20*v - 425*z + 422*z, -4*v - z + 367 = 0 for v.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(108) + sqrt(75)*-4 - (sqrt(27)\/(sqrt(144) + sqrt(9) - sqrt(9))*-3 - 3*(sqrt(9)\/sqrt(3) + 4)).\nAnswer: -41*sqrt(3)\/4 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140 - 231?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2 + 18*p + 81 = 0. What is p?\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 5, a: 4, w: 6, h: 5}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37.36492 - 0.37892. Let h = a + 0.014. Let r = h + -36.7. What is the smallest value in 1, r, 2, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -33. Suppose -r*v + 389 + 513 = 0. What is the smallest common multiple of 10 and v?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695973673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*s**2 - 495*s**2 + 121*s**2 + 290*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c, -4*c + 0*c + 27 = -b. Let d = 30 + b. What is the second derivative of -19*j**d - j - 9*j + 16*j**3 wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**3 - 175*g**2 - 160*g + 340 = 0.\nAnswer: -34, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 3*w**3 + 0*w**3 + (4*w**2 - 6*w**2 - 8*w**2)*(53 + 13*w - 53).\nAnswer: -132*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a + 403*a**2 + 17*a - 1028 + 397*a**2 - 805*a**2.\nAnswer: -5*a**2 - 1028","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 0.2, -2\/5, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 10:58 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**6\/120 + 11*j**5\/60 + j**4\/3 + 7*j**3\/6 - 227*j**2. Give p(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48718, 48720, 48722, 48724, 48726, 48728?\nAnswer: 48730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/sqrt(112) + -1 + 1 - ((-1*sqrt(17) + sqrt(17))*1 + 3*sqrt(612)).\nAnswer: -71*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t + 12. Let o be u(-6). Suppose -5*v - 3*n + 6*n - 15 = o, -4*n = -3*v - 9. Calculate the remainder when 1*v\/(6\/(-134)) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 14*l - 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 584 - -2?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 1034108?\nAnswer: -1034110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -8 - (7 + -2 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90450 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-9)*7\/((395\/30)\/(-79)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1080\/891 - (-10)\/(-15).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -216 + 58*i + 216 + (-3*i + 4*i - 10*i)*(-6 + 0 + 11).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -317, -475, -633?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 6473850073.332\nAnswer: 6473850073.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 12*a + 26. What is l(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2003916 is divided by 185?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**6\/360 + d**5\/36 - d**4\/9 + 2*d**3\/9 + d**2 - 1. Let n(x) be the second derivative of g(x). Let n(o) = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5673202 centuries?\nAnswer: 680.78424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 d when four letters picked without replacement from idhbihibdbhbiidiid.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6) + 5*(-55)\/858.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 150. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 1. Let z(y) = y**3 + 3*y**2 + y + 2. Let s be z(-3). Let r = s - -4. Calculate the smallest common multiple of r and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 4*m**2 + m + 1. Give f(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -34\/435?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((48\/(-4))\/(-2)*(-8)\/(720\/(-15))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12100277*5.\nAnswer: -60501385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (2984\/(-32))\/((-2)\/56) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 293235 and 54841?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/336 + 3090788\/24*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5 + 1. Let o = c - 3. Suppose o*t = -12 + 45. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*w + 21710, -4*o = 4*w - 2*w + 17342. What are the prime factors of 22\/(-121) - o\/22?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b - 0. Let o be 2 - (-2)\/2 - b. Let q = 55 - 51. Solve -5*m - o = q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttyyt. What is prob of picking 3 t?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + (10 - 1) + -535 + 571 - -13?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/80 or -66\/43?\nAnswer: -66\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 14, k: 4}. What is prob of picking 2 k and 1 z?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1\/x**(-2\/9)*x**8*x**(-5) assuming x is positive.\nAnswer: x**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-1) - 0)\/6. Let f be (-7)\/36 - (4 + -4). Let k = -1\/9 - f. Which is smaller: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-35))\/((-48)\/112).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. What are the prime factors of 6 + 1\/3*k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.68, 197, -2\/33, 0 in descending order.\nAnswer: 197, 0, -2\/33, -3.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-4 - -9) - (-3 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + -1*sqrt(50))**2.\nAnswer: 50*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202022130 + -21?\nAnswer: 202022103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24 - 0)*(-4)\/(-8). Suppose p = -6*x - 0. Let i = x + 4. Solve 0 = 4*g - f - 12, -i*g - f - 2*f + 6 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7941629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 35*o**6\/6 - 2*o**5 - 105*o**4\/4 - 40*o**3\/3 + 10*o**2 - 16. Suppose l(y) = 0. Calculate y.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 106*y - 372. Suppose 0 = s + 4*m, -3*s + 2 = 2*m - 48. Calculate the least common multiple of s and x(-49).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*h + 85 - 85)*(-124*h + 227*h - 133*h + (-5*h + 2*h + 2*h)*(-7 + 3 + 2)).\nAnswer: 924*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -704.84336 to the nearest ten.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxqxnrqqqxx. Give prob of picking 1 x, 2 q, and 1 n.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5050 + 342?\nAnswer: -4405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303111 (base 4) in base 3?\nAnswer: 120202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 7 + 11 = 2*f, -k = f - 9. Suppose 7*a + 10 = f*a. Solve 2*u + a*j = -13, -3*u + 4*j - 6 = 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-30))\/(((-90)\/(-180))\/(10\/4)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.081 + 5.081. Put -0.04, r, 0 in increasing order.\nAnswer: -0.04, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 + 0*h**2 - 3*h**2)*(0 + 1 + 4)*(-2*h - 4*h + 4*h)*(14 + 0 + 2) as p*h + k + w*h**2 + z*h**3 and give z.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-19)\/(-19))\/(-15))\/((-11)\/(-198)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -911*z - 1934*z - 280 + 1064*z - 130 - 1151*z wrt z?\nAnswer: -2932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2467 divide 21581316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-12)*24\/(-15). Let h = 20 + o. Calculate the remainder when 47 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 12:55 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*p**3 + 88*p**3 + 138*p**3.\nAnswer: 180*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -2*v - 3*b - 23, -v + 5*b - 16 = 0. Is (-259146)\/v - 90\/585 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**5 - 10*v**4 + 3*v**3 = 0.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*(1*sqrt(114) - sqrt(114)))\/((sqrt(6) + 2*sqrt(54))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*j - 195 = 437 + 408 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11219062*n**3*x**3 - 35*n**3*x**2 + 2*n*x**4 + 45*n*x**2 + 2*n*x - 2*x**2 - 1 wrt x.\nAnswer: 67314372*n**3 + 48*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*z - 221 + 223 - 6*z)*(0 - 1 - 1)*(-1 + 0 - 4)*(1 + 2 - 2).\nAnswer: 420*z + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 47*x**2 - 5251*x - 112. Let o be u(112). What is the highest common divisor of o and 315?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 4:14 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2574)\/(-44))\/(-39)*10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-14)*1*14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: a99 (base 12) to base 6\nAnswer: 11113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7850, -8449, -9050, -9653, -10258, -10865?\n\"Answer: -f**2 - 596*f - 7253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -2*d + 2*o - o, -d + 66 = -5*o. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6 = v + a, 3*a = 2*v - 12. Suppose -v*m + 766 = -4*m. Let o = 880 - m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 735 - 5877\/8. What is the nearest to 5 in -5, p, 2\/9, 2\/133?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*p - 26, 0*o - 5*o - 11 = -p. Let c be (-24)\/(-14)*(0 - (-21)\/p). Let t(h) = h + c*h - 5*h. Let b(i) = -12*i. What is b(t(a))?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*r - 138*r + 144 = -296*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, -1\/2, -65, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -971417300*o**6 + 576086*o**2 - 102*o + 3 wrt o.\nAnswer: -116570076000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3024 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/11)*u)\/u)\/u**(1\/12)*(u\/(u\/(u\/u**(2\/5))))**50 assuming u is positive.\nAnswer: u**(3925\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 4*r**2 + 13*r - 26. Suppose -23*n + 92 = -23. List the prime factors of b(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 965b (base 12) in base 9?\nAnswer: 24548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469559352?\nAnswer: 2, 3, 23, 71, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150.296 months in centuries?\nAnswer: 0.95858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b**2 + 3. Let r(c) = 19*c**2 + 6. Let v(d) = -7*o(d) + 4*r(d). Let f(u) = -u**2 - 2*u - 1. Let q be f(-3). Is v(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88194226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51.06 + 0.94. Let m = -58.5 + 1.9. Let u = m + w. What is u rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d + 29. What is the least common multiple of 600 and v(12)?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.3, -6352, 0.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 196347225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.483 rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 189309576*l**2 - 15419332.\nAnswer: 378619152*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -21. Let m = w + 30. Suppose -5*h = m, -5*s + 2*s + h + 233 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*g*n**4 - 936*g*n**2 wrt n.\nAnswer: 2064*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*z = -18, 3*g - 2*z = -g + 22. Let x = -3 + 3.1. Which is the nearest to x? (a) 1 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -10 - 0) + 5 + -4 + -9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -9658.7\nAnswer: 135221.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 4*t - 10*t)*(0 + 2*t - 1 + 0).\nAnswer: -18*t**2 + 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from {k: 1, v: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442 + 5974 - 59*n + 5724.\nAnswer: -59*n + 11256","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 117aa798?\nAnswer: 117aa798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((sqrt(76) + sqrt(76)*-1 + sqrt(76))*-3 + sqrt(76) + sqrt(76)))\/((sqrt(576) - (sqrt(576) + 1*1*sqrt(576) - sqrt(576))) + sqrt(576)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 9:53 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-7)*2114\/(-3020)*10\/28.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 equal to -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-161 + 182 - 231 - 486)*(-c**3 - 1 + 1) - 2*c + 2*c + 2*c**3.\nAnswer: 698*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83770 is divided by 471?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 17444*q**2 - 109*q + 439. Is c(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -5\/8 (c) -1 (d) 693\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 7?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((-24)\/42) - 459. Let m = t + 674. What are the prime factors of m?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -99, -72, -7, 114, 309, 596, 993?\n\"Answer: 3*x**3 + x**2 + 3*x - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 11477312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 745 divided by -71152?\nAnswer: -745\/71152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 7:01 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -50. Put l, 0, -5, -1 in descending order.\nAnswer: l, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 16*b**2 + 5*b + 15. Give g(8).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 19. Sort r, -4\/5, 3.\nAnswer: r, -4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(7))**2*6 + sqrt(7)).\nAnswer: -288 - 78*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2, 3, -586, -1\/4.\nAnswer: -586, -24, -1\/4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*k - 33*k - 38*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/263350 and 34\/605705.\nAnswer: 6057050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.003 + -2.997. What is the second biggest value in r, 0.01, 8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let u = 46 - 51. Let a be u + (2 - 4) + 2. Let f(y) = -y**3 + y**2 + 4*y. Give a*d(c) + f(c).\nAnswer: -c**3 + c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213054523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6694, -21, -2, -1.\nAnswer: -6694, -21, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1371, -1369, -1367, -1365, -1363, -1361?\n\"Answer: 2*s - 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 1\/8, 0.1497, 0.4?\nAnswer: 0.1497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o - 14*o - 16. What are the prime factors of 1 + 662\/o - (-2)\/8?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 899\/3 (b) -1\/4 (c) 0.4 (d) -4 (e) 0 (f) -4\/7 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -60 (b) -0.2 (c) 5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by -1 + (-2 - -1) - -16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 14*r + 70. Suppose 8*h - r*h + 10 = 0. Let t(q) = q**3 - 5*q**2 + 3*q - 7. Determine t(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 609*a. Let h(j) = 65*j**2 + 1. Calculate h(d(p)).\nAnswer: 24107265*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:49 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5727 or -2\/175?\nAnswer: -5727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 40761 - 188861 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849 divided by 34?\nAnswer: 849\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-2)\/(-3) + -1). Suppose 0 = -2*h - 0*h + 4*q + 16, 4*h + 4*q = -28. Let i be (-1)\/3 + h\/n. Is i less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -295 - -173. Let t = 133 + h. Let v(a) = 2*a**2 + 2*a - 8. Let u(q) = -4*q**2 - 4*q + 15. What is t*v(n) + 6*u(n)?\nAnswer: -2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171 + -170.7. Let u = 63 + -39. Let w = 119\/5 - u. Which is the closest to g? (a) -4 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 1, b: 1, c: 1, d: 1}. Give prob of picking 1 n and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10088 - 6832 = -5*z. Suppose -40296 - z = -5*v. Suppose 0 = 4*l - m - v, 2*m = -5*l - 290 + 11197. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x**3 + 4*x. Let l(q) = -7*q**3 + 5*q + 1. Suppose 0 = 4*r - 29 + 9. Suppose 3*w + 7 = -5. What is r*k(o) + w*l(o)?\nAnswer: -2*o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4*13\/39)\/(2\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74010 is divided by 194.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5643737 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i + 25. Let s be y(21). What is the second derivative of -8 + 32*g**4 + s*g - 90*g - 84*g wrt g?\nAnswer: 384*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, t: 8, j: 4}. Give prob of picking 1 t, 1 j, and 1 z.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 865019053 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -384 + 387. Solve 4*q - 2*f - 6 = 2*q, q + 3*f = t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1940, 3, -2, 5 in decreasing order.\nAnswer: 1940, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -254575546.3 to the nearest 1000000.\nAnswer: -255000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, p: 6, s: 1, y: 2, w: 7}. What is prob of picking 4 p?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -20 - (-4 + (1 - -9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 732 (base 14) to base 10\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48427 is divided by 425?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2*w - 16, w - 1 = -a - 0. Let p be 0\/5*1\/a. Let q(l) = -1 + 5 - 3 + 11*l + p. Calculate q(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7763e (base 15) to base 11\nAnswer: 23a068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxsqssqxsmmxsqxssxbb. What is prob of sequence xss?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16579, 33171, 49767, 66367?\n\"Answer: 2*p**2 + 16586*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 10*n**2 - 19*n + 92. Suppose -5*x + 61 = l, 2*x - 31 = -7*l + 33. What is r(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-24))\/(((-104)\/(-192))\/(-13))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 4266.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times -6?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 281142 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 3.62 and 213900 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 54. Let l(s) = -3 - s + 8*s - 6*s + 6*s**3 - 2*s**2 - 2*s. Let a(v) = -5*v**3 + v**2 + v + 2. What is i*l(u) - 3*a(u)?\nAnswer: 3*u**3 + u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1468298 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7*1)\/(24\/(-56))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(85)*-3)\/(sqrt(55)\/(-4*sqrt(11)) - sqrt(5)).\nAnswer: -48*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 291029\/32 + -9094. What is the common denominator of v and 39\/148?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-116 - -143) + -24 + -2 - (-46 - 0)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (4 + -3 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t + 3*r - 18, -5 = -2*t + 5*r. Let i be (12\/t)\/((-3)\/1070). Let n = i - -4326\/5. What is the common denominator of n and 71\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -144256 or -0.049?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4.82, 2\/5, -6, -0.01, 2\/61?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74577\/50 + 1490. Let o = -2\/254149 - 30243531\/25414900. What is the common denominator of l and o?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 420*x. Let n(l) = -1237*l**2. Give z(n(b)).\nAnswer: -519540*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 10*i**2 - 3*i + 11. Is 20 a factor of n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q - 9. Suppose -q*n + 24 = n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/24 and -52\/489.\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**4\/3 - 4*i**3 - i**2 + 46*i. What is the smallest common multiple of 6 and p(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6\/x)\/(x*x*x\/(x**(-1\/3)\/x)))**(1\/12)\/(x\/x**(3\/5)*x\/x**(2\/7)*x*(x**(2\/3))**(5\/3)) assuming x is positive.\nAnswer: x**(-1997\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - -53) + 4 + 3\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 210981314 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/253976 and 53\/676870.\nAnswer: 143496440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 9 + 16 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h**4 + 5*h**2 + 11*h. Let l(w) = -5*w**4 + 2*w**2 + 5*w. Let b(r) = 2*g(r) - 5*l(r). What is the second derivative of b(p) wrt p?\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 3 = -9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, -1041 in ascending order.\nAnswer: -1041, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 13*w**2 + 24*w + 8*w**2 - 3*w**4 + 10 - 3*w**2.\nAnswer: -3*(w - 3)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, g: 4, v: 4}. Give prob of picking 2 g.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1973 + -1.4157. Round v to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 4*k + 4. Let f = 30 - 2. Suppose 0 = -8*r - 4 + f. Determine g(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2*(-60)\/9. Let n(d) = -7*d**2 + 4*d + 3. Let p(k) = -k**2 - k - 1. Let w(x) = n(x) - 6*p(x). Let f be w(t). Are f and 9 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 6*g + 6. Let a(t) = 2*t**3 - t**2 - 17*t + 17. Suppose -4 + 21 = -d. Let h(n) = d*b(n) + 6*a(n). Find the third derivative of h(p) wrt p.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**0\/z))**(-2\/5)\/(z*z\/(z\/((z\/(z**1\/z))\/z))*z)**(1\/3) assuming z is positive.\nAnswer: z**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210 - 210133322?\nAnswer: -210200132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 357*k**2 + 4*k - 6. Let c be x(2). Suppose 4*v = -g + 691, -7*g + c = -5*g - 4*v. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1672763 divided by 7369.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3\/7 + 24*j**2 + 1804*j\/7 + 1632\/7 = 0. What is j?\nAnswer: -8, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -271171\/2 or -135585?\nAnswer: -135585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -15*w**3 - 2*w**2 + 1. Suppose b - 4 = 3*y, -8 = 8*y - 3*y - 3*b. List the prime factors of h(y).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2. Let i(m) = -16*m**2 + 11*m. Calculate h(i(w)).\nAnswer: 512*w**4 - 704*w**3 + 242*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-45)\/25 + 2\/(-10). Let b(w) = w + 2. Let z be b(v). Suppose 3*g = -z*g + 42. Solve -2*h = 5*f + g + 6, -5*f - 4*h = 30 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 1930365?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - v + 5. Let t(i) = -i**2 - i + 6. What is 4*p(o) - 3*t(o)?\nAnswer: -5*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 77.4 and -445?\nAnswer: -34443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35118?\nAnswer: 2, 3, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from rnnnnbbrnnbbnbnnbn.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(15\/20)*-1. Suppose 0 = 3*p - 2*p - 2*q - 308, -3*p = -t*q - 918. Suppose 16*o - p = 14*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -581 - -585. Solve z = -4*d - 3*z - 20, -4*d - 12 = -j*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 10*z**2 + 6*z + 10. What is i(9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - u + 3 = -1, -5*u - 2 = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27137 + 18344. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + t - 21.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 18*o**2 - 30*o + 66. Let j be z(20). Suppose j = -8*a + 314. Calculate the lowest common multiple of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22382652 is divided by 208?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1080) + (1*sqrt(1080) + sqrt(1080))*-2))\/(6*2*sqrt(90)*1).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29506.919 plus 111?\nAnswer: 29617.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 7. Let f(q) = -8*q + 6*q**x - 5 - 3 - 3. Let y(w) = 2*w**3 - 3*w - 4. Let v(d) = -4*f(d) + 11*y(d). Find the second derivative of v(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (16 + (5 - 10))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**8*b*b*(((b*b\/((b**2*b)\/b))\/b)\/b)\/b*b*b*b*(b**(-1))**(-36))\/(b**9*b*b**7*(b*b**6)\/b**(1\/4)) assuming b is positive.\nAnswer: b**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 19 - -2) + (2 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000100101 (base 2) in base 7?\nAnswer: -1413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16833 + 17538. What is u rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**3\/2 - 26541*x**2\/2 - 53073*x\/2 - 26535\/2 = 0?\nAnswer: -8845, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17244 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 1\/25 (c) 624\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 0 (c) 0.4 (d) 174 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**5 + 2*y**5 + 2*y**5)*(179 - 95 + 124) + (2*y + 3 - 3)*(4*y**3 - 4*y**3 - y**4) - 3*y**3 + 3*y**3 - y**5 + 0*y**4 + y**5 + 0*y**4.\nAnswer: -418*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 97325805 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000110101011 + -101?\nAnswer: 101000110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6222*d + 267563. Give j(43).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20018*f**3*h - 277092*f**3*p**3 - 4*f**2*h**2*p**3 wrt h.\nAnswer: -20018*f**3 - 8*f**2*h*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 38. What is the tens digit of r(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10954 is divided by 862.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 16*d**2 - 347544*d + 10 - 10 + 347544*d. Suppose 2*i = 2*z - 6, -3*i + 2 - 5 = 0. Let t(f) = 2 + f**2 - z. Give t(u(h)).\nAnswer: 256*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16071643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**6\/15 + b**5\/10 - 19*b**4\/6 + 11*b**3\/3 + 30*b**2 - 2*b + 19. Solve j(m) = 0 for m.\nAnswer: -5, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*q + 139 wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 + 5 + -7 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0.047, 2?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4368)\/1911*(-21)\/(-36)*(-6)\/(-32).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**3 + 5*o**3 + 0*o**3)*(2 + 3 - 3) - 231*o**3 + 629 - 315 - 317 to q*o**2 + v*o + f*o**3 + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from xxddxdxxdxx?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 7. Let w be i(-4). Let d = 11 + w. Calculate the highest common factor of 16 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 27*d**3 - 2*d**2 + 6*d - 3. Let a be f(5). Let o = a - 1999. Suppose -o = -5*l + 742. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -2*v - 13, -5*l + 14 + 23 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -3 (c) -0.3 (d) 842\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 11. Let o be u(-4). Let h be (-1116)\/(-14) + 6\/o. Suppose -42*s - h = -46*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155403 + -13?\nAnswer: 155360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2257974 is divided by 55.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from pppptfppptpdtpt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8 - 13 = 0. Let y(t) = 5*t. Let u(w) = 11*w. Calculate x*y(p) + 2*u(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4 - 95*w**3 + 606*w**2 + 896*w - 1408 = 0 for w.\nAnswer: -2, 1, 8, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.5, 14.2, 1, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**7\/14 + r**3\/2 - 4*r. Find the second derivative of g(c) wrt c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26\/3 - 113\/12. Let u = -0.03 - 1.97. What is the closest to -2 in r, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 - m**2 - 2*m - 1. Let k(a) = -3*a + 7. Let p(g) = 2*g - 3. Let j(s) = 4*k(s) + 7*p(s). Let v be j(-4). Determine z(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06891717 to three decimal places.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:42 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 35 = l - g, 2*g + 14 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 239 = -3*n - 5*k, -k = 3*n - 171. Suppose -40 = 3*u + u. Let t = 17 + u. What is the highest common factor of n and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564*j**2 - 566*j**2 + 1102*j**2.\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -404*o + 95*o + 927. Let v be ((-3)\/(-9))\/((-1)\/(-6)). Let q(j) = j**3 + 5*j**2 + 3*j + 1. Let a be q(-4). Solve v*d - a = -o*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29911*j**5 - 545*j**4 + 13*j**2 - 3342380*j wrt j.\nAnswer: 1794660*j**2 - 13080*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1398 divided by -6.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 384, 760, 1128, 1488, 1840, 2184, 2520?\n\"Answer: -4*a**2 + 388*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(30) - (sqrt(30) + -1*sqrt(30))) + (sqrt(270) - sqrt(30))*4)\/(1*(-2*sqrt(810) + sqrt(810))*1).\nAnswer: -14*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 114*i - 155*i. Is 13\/84 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 347390, -2\/11, -10?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 12:05 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/13, 1, 0.1, 9\/2 in ascending order.\nAnswer: 0.1, 3\/13, 1, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14744545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1449335 is divided by 241520.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 365, 377, 383, 377, 353, 305, 227?\n\"Answer: -c**3 + 3*c**2 + 10*c + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42063 to the power of 1\/2, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*q = -258, 4*y + q + 314 = -q. Let k = y + 47. What are the prime factors of (k\/10 - -3)*-95?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -355?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -460 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.7 and -52.\nAnswer: -58.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1892 - 1892. Which is smaller: g or -3\/2512?\nAnswer: -3\/2512","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 98*h + 2*h**2 - 11 - h**2 - 100*h. Let d(g) = -g**2 + g + 12. Let q(k) = -5*c(k) - 4*d(k). Give q(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.865617ml?\nAnswer: 0.009865617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -14*u**2 + 138*u + 264. Let n(l) = -5*l**2 + 46*l + 88. Let b(z) = -17*n(z) + 6*r(z). Factor b(k).\nAnswer: (k + 2)*(k + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - n + 2. Let y be r(-2). Suppose -c + 32 = 4*c - 4*g, 5*g = 3*c - 27. What is the remainder when ((-13)\/(-1))\/(12\/y) is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*l**5 + 25*l**5 - 38*l**5 + (2*l**3 + 4*l**3 - 5*l**3 + (-l**2 - 2 + 2)*(4*l - 3*l - 2*l))*(0*l**2 + 0*l**2 + 2*l**2).\nAnswer: -44*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(21\/(-491022)*9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 304*o**2 - 314*o - 10. Calculate d(-2).\nAnswer: 1834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144427 is divided by 144371?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -10*s + 25. Give u(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/b**22*b))\/(b\/(b**(3\/5)\/b*b)))**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 2698\/(-8))\/((-30)\/(-400)) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 23*g**2 - 5*g - 142. Determine t(-23).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -142, -0.1, -1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or 65952?\nAnswer: 65952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - ((-780)\/(-66) + -9 + -10). Let x = 238\/871 + -8\/67. Sort x, d, 3\/2, 1 in decreasing order.\nAnswer: 3\/2, 1, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4, -3*a + 2 = c - 2. Suppose -43*r = -37 - 350. What is the lowest common multiple of r and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 4, s: 3, u: 2, i: 6}. Give prob of picking 1 c and 3 f.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 4:04 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724821 is divided by 14211?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*v - 4, -5*i - 2*v = 1 + 3. Let w = 4 + -2. Suppose w*r + 2*r - 48 = i. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/5 and 4*636\/(-396)*9\/(-12).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 + 89*c**4 + 6*c + 11.\nAnswer: 20*c**3 + 1068*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.8 and -60583?\nAnswer: 714879.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 + 4048\/(-154))*2\/(-12)*6*175?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2221563, -4443134, -6664715, -8886306, -11107907, -13329518, -15551139?\n\"Answer: -5*v**2 - 2221556*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-137)\/(-959))\/(-1 + (-26)\/(-21))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.475717 seconds?\nAnswer: 8475717000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6541202 to the nearest ten thousand.\nAnswer: 6540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 184 + -186. Sort d, 1, -5, 2 in increasing order.\nAnswer: -5, d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 386 - 401. Let q(o) = o + 113. Calculate the remainder when q(y) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-5 + -4 - -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -387, -582?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 - 2*t - 167*t**3 + t**2 + 287*t**3 as q*t**3 + j*t + z*t**2 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 740335 and 5922680.\nAnswer: 5922680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 4. Let c be g(-2). Suppose 14 = -3*w + a - c*a, -3*w = -5*a + 4. Let d = w + 90. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s + 2*s + 0*s)*(4704 - 4704 + 356*s + 2*s - 3*s + 3*s + 3*s - 2*s + 0*s + (-1 - 2 + 1)*(0 - s + 0)) to r + q*s**2 + u*s and give q.\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**2 + 5*u + 3*u**2 + 5*u**2 - 2*u**3 + 6*u**4 to x + n*u**2 + s*u + m*u**4 + q*u**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (-65 - 22) - -89\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.16, 238.6, 0 in increasing order.\nAnswer: -1, 0, 0.16, 238.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25, -61, -105, -157, -217, -285?\n\"Answer: -4*m**2 - 24*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.3 - 7.4. What is the second biggest value in 0.1, -17, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 19 - 9. Let m = l - -16. Suppose -4*i = -m*i + 160. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 920204, 3680842, 8281908, 14723402, 23005324?\n\"Answer: 920214*a**2 - 4*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/10)\/(((-120)\/(-15750))\/((-92)\/(-322)))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*z = -34, -2*q + 24 = 3*z + 2. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/13)\/5 + (-1540)\/(-1144)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26, 40, 172, 416, 766, 1216, 1760?\n\"Answer: -y**3 + 65*y**2 - 174*y + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 3*f = 64603. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 6) to base 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 96832?\nAnswer: 96830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2711 + 3161 - 450 - u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14145 and 82869?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22273 - -22267.9553. Let i = m - -7.9018. Let l = i - 2.87. Round l to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2427 + -4259. Let k = -20136\/11 - q. Let -k + 52\/11*m + 46\/11*m**2 + 8\/11*m**3 = 0. Calculate m.\nAnswer: -4, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470)\/sqrt(2) + (sqrt(165)\/(sqrt(11) - (sqrt(1100) + sqrt(11))) - sqrt(15)))\/(((1*sqrt(108) - sqrt(108))*5 + sqrt(108))*4).\nAnswer: 59*sqrt(5)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37 and (34\/(-18930))\/((-101)\/(-606)).\nAnswer: 3155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 12 + (-31 - -21). Let j(v) be the third derivative of v**4\/24 - 7*v**3\/6 - 2*v**2. Let c be j(4). Is q >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -169 + 176. Suppose -5*d + 2*v + 45 = 0, 15*d - 3*v = 13*d + 29. Calculate the highest common divisor of d and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11*(-2)\/11*1 - -71*177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -607 - -604. Let z be (-235)\/(-94)*f\/20. Which is the third biggest value? (a) -13\/3 (b) -2 (c) -2\/5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184625?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35242745 to the power of 1\/2, to the nearest integer?\nAnswer: 5937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*w - 312*w = -o - 159*w, -4*w = 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s - 2\/3*s**2 - 4\/3 = 0. What is s?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/4*-2*(-2)\/24\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 916 (base 12) to base 9.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 3:48 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9086721 and 3213.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32291 - -160928\/5. Let u = n + 106. Is 1 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-595)\/(-14))\/17)\/(1\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 9*q - 15. Calculate the lowest common multiple of g(6) and 1.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18974.\nAnswer: 2, 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*o + k, -2*o - 4*k - 23 = -o. Let n = o + 23. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -11. Factor -10 + 25*f**2 - 15*f**3 + 13*f**2 - 25*f + m*f**2 - 5*f**3.\nAnswer: -5*(f - 2)*(f - 1)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**4\/4 - l**2\/2 - 3*l + 3. Let j be f(0). List the prime factors of (-2)\/j - 16\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (39\/12)\/(3\/12) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 12, 3*x - 25 + 7 = -2*r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-576) + (-5)\/66 - (-92)\/77.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 22*c**2 - 1. Let x(i) be the third derivative of -i**5\/60 - 11*i**2. Determine x(n(h)).\nAnswer: -484*h**4 + 44*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -275 or -277?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*i**2*w - 8*i**2 + i*w**2 - 102*w**2 wrt i?\nAnswer: -14*i*w - 16*i + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 2*w + 3*o - 106, w - 2*o + 18 = 12*w - 41 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-18))\/((-3)\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-636)\/424*(-8)\/(-114)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.4 times 6.5?\nAnswer: 113.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164424 by -1612.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8873 - 79849\/9. Solve 142\/9*i**2 + r - 4\/9*i**3 + 64\/9*i - 70\/3*i**4 = 0 for i.\nAnswer: -2\/5, -1\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (510\/(-153))\/(1\/(-15)*1). Let x be ((-12)\/(-10))\/(15\/u). Suppose -18168 = -4*i + x*p, 8*p = -i + 3*p + 4572. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i*((i\/i**(-3\/4))\/i*i)\/i*i*i)\/(i\/i**13))**37 assuming i is positive.\nAnswer: i**(2775\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 119209?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 12 = -s. Suppose -3*h + 13 = 28, -s*h + 65 = 4*d. Suppose d = 11*w - 9*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -5, -3, -4\/175, 3, 28 in ascending order.\nAnswer: -5, -3, -4\/175, 3\/2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3695, -11173, -22401, -37373, -56083?\n\"Answer: s**3 - 1881*s**2 - 1842*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8\/w)**25\/(w**(1\/3)*(w**12*w)\/w) assuming w is positive.\nAnswer: w**(488\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w = 882 - 1212 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 30221?\nAnswer: 30213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/3*-21*(-34)\/(-238).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)\/b**(-2\/19))**38\/(((b\/(b\/(b\/b**(2\/3))))\/b)**(5\/3))**44 assuming b is positive.\nAnswer: b**(781\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.698810958 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 0 + -4 + -4*2*sqrt(80) + -1 + -3 + 5 + -2*sqrt(80) + sqrt(80) + -1*(0 + sqrt(80)))**2*4.\nAnswer: 864*sqrt(5) + 25956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/13, -9.7, 1\/32, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 47.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -949 divided by -949\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020 (base 3) in base 9?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuduuuiiupuddd. What is prob of sequence piui?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -388, 15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25760 and 4140.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*b = 2, 0 = -4*h + 3*b - 0 + 5. Suppose -h*t = t. What is the third biggest value in -3, t, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, o: 5}. What is prob of sequence ooo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3617704 or -3617701?\nAnswer: -3617701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.725, -40, -5?\nAnswer: 0.725","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from {j: 8, y: 3, x: 3, e: 1, t: 3, n: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4126 + 4126. Let i be (3 - 0)*4\/(-4). Let p(d) = d**3 + 2*d**2 + 2. Let o be p(-2). Which is the nearest to 1\/3? (a) o (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -582.23 - -4.23. Let n = 572 + g. Put n, 2\/7, -2\/17, 1 in descending order.\nAnswer: 1, 2\/7, -2\/17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81722618 divided by 7886?\nAnswer: 10363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*p - 4*x, -x = -7*p + 4*p + 32. Solve 0 = -16*r + p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24419208 from -63.4955.\nAnswer: 24419144.5045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 + 64*p**3 + 248*p**2 + 320*p + 132.\nAnswer: 4*(p + 1)**2*(p + 3)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0185 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a. Suppose 8 = -4*n - 4. Let s be 0\/((-9)\/n) - 3. Let j(w) = -4*w - 3. Let x(z) = 5*z + 4. Let h(u) = s*x(u) - 4*j(u). Give h(i(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072503461 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -21954 not equal to -21954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/30*(-40)\/56)\/((-46)\/69).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*y = 7*o - 413006, -5*o = 5*y - 413015. Round o to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61980903377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -193, -386, -541, -640, -665, -598?\n\"Answer: 3*w**3 + w**2 - 217*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -i - 2*k, -7*i + 125 = -3*i - k. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*x - 3*u + 785, 4*u - 1313 = -5*x. Suppose 5*l - x = 814. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 801 = -9*y. List the prime factors of (1 + 0)*-3 + y + -1.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-110)\/(-3) - 18\/27. Let z = i + -17. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 692281 and 0.5?\nAnswer: 346140.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1657, -3230, -4721, -6130, -7457, -8702, -9865?\nAnswer: -10946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 3 + g + 0*g)*(-1 + 0 - 10).\nAnswer: -11*g + 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-16)\/(-120))\/(6\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**13*(o\/(o*o*o**(-1\/13)*o))\/o*o*o\/((o\/((o**(-2)*o)\/o)*o)\/o)*o*o\/o**0 assuming o is positive.\nAnswer: o**(144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12281*i**2*n**2*v**3 + 35*i**2*n*v**3 + 302*i*n**2*v**3 - 2*i*n*v**3 + 3*i*v**3 - 4*i + 8*n*v**3 wrt i.\nAnswer: -24562*n**2*v**3 + 70*n*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 210008 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 - (-117)\/(-21))*38283?\nAnswer: 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 - 3*k + 7. Let p = 2622 - 2617. Let u(q) = -3*q**2 + 2*q - 6. Calculate p*u(n) + 4*z(n).\nAnswer: n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 12*i + 40*i = 470. Let d = 147 - 48. Suppose c = i + d. Calculate the remainder when c is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j - 1. Calculate the remainder when 5787\/89 - (-72)\/(-3204) is divided by n(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -589188 divided by 12?\nAnswer: -49099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1\/4, 0, 0.07?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (14\/6)\/((-8)\/(-168))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:38 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.9 * -23.\nAnswer: -112.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -240.2725\nAnswer: 1922.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 39 times -0.56\nAnswer: -21.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2 + 845 + 60*d - 71 + 126 = 0. What is d?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, i: 13}. What is prob of sequence iidd?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1)\/(8\/16*-33).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/2*(-176)\/(-32) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233266679 divided by -6\nAnswer: 233266679\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(30)\/sqrt(108))\/((sqrt(5) + (sqrt(5) - sqrt(5)*-2))*3).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101011 (base 2) in base 3?\nAnswer: -10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - 2*q - q)*(-2 + 1 + 2)*(28*q**2 - 4*q**2 + 28*q**2).\nAnswer: 208*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16169 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9760396166 to four dps.\nAnswer: 2.976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 - 87. Is ((-558)\/(-6) - 4)*(0 - k) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 12*x**2 + 14*x - 11. Let z be b(13). Factor -5*n**4 - 65*n + 65*n**3 + 18*n**2 - z*n**2 - n**2 - 10*n**2 + 0*n**4.\nAnswer: -5*n*(n - 13)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7312*w - 3178*w - 2281*w - 5848*w + 3547*w - 10392*w)*(5*w**2 + 22*w - 22*w).\nAnswer: -127320*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 15*h + 85. What is the remainder when 57 is divided by k(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 5:41 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 627 and 14535?\nAnswer: 159885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -15. Find the second derivative of -p + 19*p**2 - 19*p**2 + 3*p**t wrt p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7b + 10?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -208 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + (1 - -7) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1752 + 0*q**2 - 5*q**2 + 6*q + 1757. Let n(x) = -3*x**2 + 3*x + 2. What is 5*n(p) - 2*o(p)?\nAnswer: -5*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/11 - 1280*c**3 - 24766714*c**2\/11 + 49589764*c\/11 = 0.\nAnswer: -3521, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -472398 plus 0.0463?\nAnswer: -472397.9537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 43, -254, -62, 0.2?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-32)\/5)\/((-1)\/145). Let y(f) = -f**3 + 3*f**2 - 3*f + 11. Let b be y(2). Suppose -b*n + n = -k. List the prime factors of n.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 24*x**3 + 651*x**2 + 38*x - 1129. What is w(-27)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 6}. Give prob of picking 3 q.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17505\/29175 - 7\/(-10)*14*-2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 0)*-6 - ((sqrt(112)*2 + sqrt(112))**2 - (sqrt(21)\/sqrt(3) + -1 + sqrt(7))).\nAnswer: -1009 - 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63704*j**5 + 40166*j.\nAnswer: 1274080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1856 + 1519. Let b = i + 364. Let j(u) = -35*u - 5. Let d be j(-4). Calculate the highest common divisor of b and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + n + 16 = 0, 5*u + n + 17 = -n. Let d = -5 - u. Let m(q) = -5*q - 3. Let s be m(d). Solve -4*f + 0*f - 4 = -4*x, -4*x = -f - s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54861600 rounded to the nearest one million?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 65*g**2\/2 - 260*g + 122. Find the first derivative of n(b) wrt b.\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -568583 + 568583 - 103*d**2 - 2*d to the form r + u*d**2 + f*d and give u.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*l = 15, 264 = -3*l + 276 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 g, 1 b, and 1 k when four letters picked without replacement from {h: 1, d: 1, b: 5, y: 2, g: 2, k: 4}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00245548509 to five dps.\nAnswer: 0.00246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5709*n - 1098 + 9777*n - 5088*n wrt n?\nAnswer: -1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l - 4*l + 0*l)*(0*l**3 - 3*l**3 + 2*l**3) - 9*l**2 + 9*l**2 + 4*l**4 to q*l**3 + h + i*l**2 + v*l**4 + r*l and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*t, 0 = 10*j - 7*j - t - 37. Let f = -183 + 185. What is the highest common divisor of f and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3848 is divided by 759?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19022 + 506231. Let a be ((-1448060)\/30)\/((-2)\/9). Let p = h - a. Round p to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4 + 407*c**3 + 182193*c**2.\nAnswer: 48*c + 2442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfh when three letters picked without replacement from uiiifxfuuuhe.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -78. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*r + 4*r - 2*r - 4*r - r + 0 + 0 + (2 - 2 + r)*(2 + 3 - 3) + 3 + 2*r - 3)*(2421*r + 2369*r + 6461*r + 2989*r).\nAnswer: -14240*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 16\/20)\/((-1)\/2). Which is the fourth smallest value? (a) 3\/7 (b) i (c) 2\/7 (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -746251, -1492971, -2239691, -2986411?\nAnswer: -3733131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2\/7 - 2244*g\/7 + 640 = 0?\nAnswer: 2, 1120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3 - x**2\/2 + 6*x + 8. Let h(t) = 4*t**2 - 2*t + 7. Let q(k) = -2*h(k) + 3*u(k). Suppose l = 6*l. What is q(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - p**2 - 6*p**2 + (2*p - 1 + 1)*(-5*p - 3*p + 2*p).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -35*x**3 - 2764*x**2 + 76*x - 237. Let k be j(-79). Suppose 14\/5*w + k + 2\/5*w**3 + 16\/5*w**2 = 0. Calculate w.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*g**2*x**2*y**2 + 10*g**2*x**2*y - g**2*y + 7*g*x*y + 4*y**2 wrt x.\nAnswer: 20*g**2*y**2 + 20*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i - 131*i - 2*i**2 - 65 - 339 - 1644.\nAnswer: -2*(i + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 13*q**2 - 21*q + 11. What is the smallest common multiple of c(11) and 184?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = j - 71, 4*j + 5 = -j. Let x(l) = l**3 + 17*l**2 - 18*l + 2. Let m be x(y). Let i(d) = 2*d**2 + 9*d**2 - 8*d**m. Let v(f) = f**2. Give v(i(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 620819*t + 620814*t + 1230*t**3 + 31*t**3.\nAnswer: 1261*t**3 - 5*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**4\/4 + 4*v**3\/3 - 5*v**2\/2 - 6*v - 2. What are the prime factors of w(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-12)\/j*j\/(j\/((j\/j**(-12))\/j)))\/(j\/(j\/((j\/((j**(-2\/11)*j)\/j))\/j))*j\/(j**(2\/25)\/j)) assuming j is positive.\nAnswer: j**(-853\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43923*n**5\/4 + 143716419*n**4 - 1130856429*n**3\/4 + 268548609*n**2\/2 + 4673133*n + 39270 = 0. Calculate n.\nAnswer: -13090, -2\/121, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125 or -109?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35590813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1889840 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 599606, 1199251, 1798900, 2398553, 2998210, 3597871?\n\"Answer: 2*p**2 + 599639*p - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**7\/1050 + 11*d**6\/200 - 46*d**5\/75 + 19*d**4\/10 + 2219*d**2. Solve j(p) = 0.\nAnswer: -38, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117056 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.968158 centuries?\nAnswer: 96.8158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 4*l**2 - 7*l + 2. Let c be v(-5). Let z be 13\/c - (-3)\/(-9). Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 3*(-2 + sqrt(1216)))**2.\nAnswer: -384*sqrt(19) + 19492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3\/5 - 9*t**2\/5 - 6*t\/5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*h**3 - 526*h**3 + 964*h**3.\nAnswer: -67*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 155ce (base 15) to base 10\nAnswer: 68819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -4*u**7\/7 - 5*u**6\/2 - 9*u**5\/40 + 9*u**4\/8 + 893*u. Solve n(c) = 0.\nAnswer: -3, -1\/2, 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**3 + t**2 - t. Let i be m(1). Suppose -5*k + i = -2*k. Let l = 0.42 + -0.82. Which is the second biggest value? (a) -0.5 (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.297 - 1952.997. What is c rounded to the nearest ten?\nAnswer: -1940","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 4*p + 4*p)*(-30 - 31*p**3 + 30) + 1 - 1 + 2*p**5 - 68*p**3 + 68*p**3 + 6*p**5.\nAnswer: 70*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = y + 7, 43*l - 78*l = 4*y - 40*l - 16 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -0.05 (b) -4 (c) 33884\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**2 + 3*i - 6. Let r be q(-9). Let x be -220*7\/(35\/65)*r. What is x rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/7, 14, 1\/67, -19, 1 in descending order.\nAnswer: 14, 1, 5\/7, 1\/67, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c6 (base 16) to base 14.\nAnswer: 38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 50 = 2394*h - 2399*h, 4*p = 4*h + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/4256316 and -145\/298386.\nAnswer: 515014236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(-k - 2*k + k)*(19*k**2 + k - k) as z*k + l + r*k**3 + d*k**2 and give r.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6*f = -10*f + 67, f - 190 = 3*g. Let b = 65 + g. Solve b*i - 6 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3171.9 + -3171.5. Sort 0.3, -3, c, -0.0386, 1\/2 in decreasing order.\nAnswer: 1\/2, c, 0.3, -0.0386, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7450000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*c**2 - 139*c**2 - 67*c**2.\nAnswer: -159*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 8*q - 5*u = -10, -2*q = -3*u + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6*g - 21. Solve 2*b = g*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 48 = 3*z, -49*c + 53*c + z = -20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 18 = 2*t, -19 = -3*b - 2*t - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 14*x - 33*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 78 times -0.05283235\nAnswer: -4.1209233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 36, 39, 42?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w + 9*w + 6*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 27, 59, 101, 153, 215?\n\"Answer: 5*f**2 + 7*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4018 and 6115298.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 13. Suppose -5*l = -4*l - 2*y, -4*l = -2*y + 18. What is the remainder when 18 is divided by q(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1891*g + 1884*g - 56 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/40219776 and -29\/448.\nAnswer: 281538432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50120174 - -0.5.\nAnswer: -50120173.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9388 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*p - 6. Which is the biggest value? (a) -1 (b) -2\/15 (c) 0.4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 177 (b) -14 (c) -1806\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*o - 78 + 57, o + 1 = 2*v. Solve 2*p = -t, 2*t - 8 = p + v*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1729.9 plus 58?\nAnswer: -1671.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19187 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64251 and 102729.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 20. Let w be d(21). Let n be 2\/(-3) - (4\/6)\/w. Solve 3*l - 4*l - 5 = n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-7) - 136\/140)*-445. Let i = w + -85. Suppose i*c = 92*c + 138. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*q**3 - 12 + 2*q + q**2 + 26 - 14 to d + g*q**3 + s*q**2 + h*q and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1*1 + (-192)\/(-3). Let i = 74 - s. Suppose -23 = -10*w + i*w. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401 - 51*z + 49*z + 401.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 4*x + 1314 = 1214 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is -261 (base 9) in base 6?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 3\/5, 2, 4, -93?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13992018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**0*a))**(2\/7)\/(a**(1\/3))**(-2\/63)*((a**1)**(-1\/14))**4 assuming a is positive.\nAnswer: a**(-52\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 less than -326765323980?\nAnswer: -326765323979.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -5)*-2*(-1)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 3*m**2 - 3*m**2)*(-m**2 - 3*m**2 + 6*m**2) - 172*m + 172*m + m**4 - 4*m**3.\nAnswer: -3*m**4 - 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2965, 10\/3, -9, 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k - 3. Let p(i) = -17*i - 13. Let x(t) = 9*m(t) - 2*p(t). Suppose -24 = -5*n + 3*v, -v = 2*n + v. Suppose n*b - 14 + 8 = 0. Determine x(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-110)\/(-44))\/(5\/4). Suppose 3*c - i*u - 448 = 3888, 0 = 2*c - 2*u - 2888. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 689684023*l**3 - 379381902*l**2.\nAnswer: 4138104138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2206\/17655 - -2\/535. Let u = r - -5\/11. Let g = -2.6 + 0.6. Which is the nearest to u? (a) 3\/8 (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v + 58. Let s be y(0). Is (s - -4 - (1 - 0))\/1 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*w = 45, 3*w - 4 = -2*j + 3. Let l = 5122\/133 - 3\/266. Calculate the common denominator of l and (-42)\/j*(-117)\/54.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-9 - 6) + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8946019, 8946016, 8946013, 8946010?\nAnswer: 8946007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -30, -66, -132, -240, -402, -630?\nAnswer: -936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38728 - 1549017\/40. Find the common denominator of -21\/16 and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28843934 divided by -17.\nAnswer: 1696702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 118 in 12, 8.1, 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*j**2 - 32*j**3 - 10*j**2 + 0*j**2 + 14*j**2 wrt j?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -690 + 792. Calculate the remainder when o is divided by 64.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 16 = 0, -42*m + 252 = 2*g - 41*m. Let q = -72 - -104. Suppose 2*h + q = 4*h. Calculate the remainder when g is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -139*k**2 - 1104*k + 22. Determine a(-8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4212 divided by -81.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1041, -2069, -3077, -4059, -5009, -5921, -6789, -7607?\n\"Answer: j**3 + 4*j**2 - 1047*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Let q(p) = 3*p - p - 3*p + c*p. Let d(k) = k. Let y(w) = -18*w. Let j(a) = 9*d(a) + y(a). What is j(q(g))?\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*a**2*s**2 + 3*a**2*s + 701*a**2 + 108629*a*s**2 + 2*a*s + 3*a - 14*s**2 + 214*s - 2 wrt s?\nAnswer: 126*a**2 + 217258*a - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*d)\/((d\/(d**(3\/11)\/d))\/d) assuming d is positive.\nAnswer: d**(-41\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.2 + 2.2. Let y = 22 - 52. Let j = b - y. Sort 2\/9, -2\/5, j in ascending order.\nAnswer: j, -2\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002902 to 5 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 y, 1 p, and 1 r when four letters picked without replacement from oryrp.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/92 and -125\/18.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -31. Let c = -24 + w. What is the remainder when (c\/(-15))\/((-6)\/(-345)) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 2. Let x be m(-2). Suppose r - 2 = -x*r. Suppose 0 = k - r*k + 6. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 62*q - 642. Calculate o(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, 1463, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -97 - 26, -2*s - 2166*n + 2178*n + 494 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1056\/(-10080) + (-8)\/(-140)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*c + 2*f, 2*c + 4*f - 2 = 0. What is the units digit of 65 + 1 + 1 + c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 11*q**4\/12 - 19*q**3\/6 - 13*q. Find the second derivative of r(c) wrt c.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52480975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3693*x**3 + 1 - 22 - 1849*x**3 - 1842*x**3.\nAnswer: 2*x**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539462 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, v: 3}. What is prob of sequence ccv?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and (-1)\/(-2)*(0 - -20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 11*v + 3. Let c(d) = -2*d**2 - 7*d - 5. Let y(z) = 3*z**2 + 6*z + 6. Let p(u) = -4*c(u) - 3*y(u). Determine 3*h(q) - 4*p(q).\nAnswer: -2*q**2 - 7*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 90*m**2 - 2 - 92*m**2 + m**4 + 182*m**2 - m**3 to y + z*m**2 + u*m**3 + t*m + r*m**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 132641891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(sqrt(21) + sqrt(42)\/sqrt(2)))\/(sqrt(28)\/sqrt(4)*1) + ((sqrt(30)\/(sqrt(30)\/sqrt(3)) - (1 + sqrt(432))) + -5)**2.\nAnswer: 142*sqrt(3) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*((-14)\/(-4) + -4). Let a(u) be the first derivative of 0*u**p - 1 - 1\/4*u**4 - 1\/2*u**2 + 0*u. Find the second derivative of a(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6323 is divided by 980.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -0.3, -0.07, -0.5, -18184?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -32. Suppose -5*o = 5*z - i, -3*o + 13 = 2*z + 2. Let c be (-21 + o)\/(-1)*1. Calculate the greatest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 10 + 9*f - 5.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqe when three letters picked without replacement from {q: 10, m: 2, e: 3, a: 4}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-410 - -409)\/(((-4)\/2 + -8)\/(10 + -13))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 8, 1\/8, 0.3 in decreasing order.\nAnswer: 8, 0.3, 1\/8, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67633*q**4 + 39*q**2 - 2*q + 1108 wrt q.\nAnswer: 811596*q**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3252925 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, x: 8, q: 2, k: 1, p: 2}. Give prob of sequence xxkx.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 7*a**2 + 2*a - 10. Let g be b(7). Suppose -g*k + 75 = 3*h - 32, -2*k - 4*h + 66 = 0. Suppose 5*w - 222 = k. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 less than or equal to 492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 211000 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*u**2 + 160*u - 20.\nAnswer: -5*(u - 2)*(15*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 0.456.\nAnswer: 5.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)\/o)\/(o**6\/o)*(o*o*(o*(o\/(o*o**4))\/o*o)\/o*o)\/o**(1\/6) assuming o is positive.\nAnswer: o**(-85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*d = -5, 4*s - d = 51 + 26. Let v = s + -15. Suppose 5*r + 16 + 4 = i, 3*r = -v*i + 100. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 31462\/((-1 - (2 - 6)) + -1). Let v = -11164 + k. Suppose 4 = d + 1, 4*n + d - v = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4466 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1538272 is divided by 296?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 w, and 1 b when three letters picked without replacement from xzebbwll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1802098 to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 13430?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 139119 + 4*v**3 - v**2 - 5*v**2.\nAnswer: v**3 - 6*v**2 + 139119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9.558 and -15.\nAnswer: -5.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752564 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -2) + 3 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1 - 5*p + 0*p + 4*p. Let c be m(-3). Factor 0 + 6*y**2 - c*y - 2*y + 2 - 2*y**3.\nAnswer: -2*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 2.761289226.\nAnswer: -2.238710774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*r + 4. Solve 0 - r = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18719, -37442, -56165, -74888?\n\"Answer: -18723*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-5)*(-80)\/12. Suppose 3*j = 5*j - 3*o + 29, 4*o + 48 = -4*j. Let l = c - j. Is 4 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 207 + -201. Is d\/4*((-8083520)\/30)\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**2. Let x(h) = 8*h - 8. Give x(z(p)).\nAnswer: 40*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 48*n**2 - 102*n - 95. Calculate v(-50).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80196 - -17562961\/219. Calculate the common denominator of h and -85\/18.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*2 + 3 + (-5 + -2*sqrt(704) - sqrt(704)).\nAnswer: -8*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:58 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwya when four letters picked without replacement from {e: 1, g: 1, w: 9, m: 1, y: 1, a: 5}.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z = -2*f + 6, -z = -2*f - 4. Calculate the remainder when 59 is divided by ((-1)\/z)\/(4\/(-80)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:50 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75056374 and 1431?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129816415 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*w + 7. Suppose u = -12 + w. Let y = 12 - u. Calculate the remainder when 53 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u + 5*u - 99 + 99. Let b(t) = -4*t**2. What is p(b(i))?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 4*w**2 - 5*w + 2. Let c be n(5). Let l(h) = 2*h - 1. Let y(z) = 4*z - 1. What is c*y(s) - 5*l(s)?\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48406 + 0*s**3 + s**4 - 6*s**3 + s - 48424 - 2*s**3 to z*s**4 + j*s**3 + y*s + q*s**2 + d and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 526*n = 528*n - 23, 5*q - 5*n = -70 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:32 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -457*c**4 - 661 with respect to c.\nAnswer: -1828*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-48)*378\/(-27)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {g: 4, a: 5, y: 6}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/325 and 101\/655785?\nAnswer: 3278925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*f**2 - 4767*f**3 + 302*f**2 + 9527*f**3 - 4764*f**3 - 105*f**2 - 90*f**2.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -62450 rounded to the nearest one thousand?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7514214 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 54\/5 of a microsecond?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -4 - (-26)\/2. Let g = w - 11. Is -0.08 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.19 and 159?\nAnswer: 159.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 4. Let s(l) = 11*l + 9. Suppose 2*o - 38 = -6*c, -3*c = -326 + 314. Calculate o*p(v) + 3*s(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82170764 and 2236.\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/9 (b) 7 (c) 0.3 (d) 6 (e) 2.34 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, -8, -29, -66, -125, -212, -333, -494?\n\"Answer: -r**3 + r**2 - 7*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 11:48 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**4 - 2*n**3 + 4*n - 17*n + 11*n + 2 + 4*n**4 as s*n**3 + v*n + z*n**2 + j + o*n**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 17*w**2 + 13*w - 31. Let j be v(-16). Let q = -59 - -110. Calculate the greatest common divisor of q and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1404681 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15524047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 96350, 192698, 289046, 385394?\n\"Answer: 96348*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -2\/13 (b) -0.128 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*z = 9*z - 30, 6 = -l + z. Put l, -0.3, -3 in descending order.\nAnswer: -0.3, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3. Suppose 24 = -2*d - 16. Is ((-2)\/h)\/(d\/(-1710)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 - -238. Does 23 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -385*f + 499*f + 0 + 0 to t + b*f and give b.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5)\/(d\/((d**(-5)\/d)\/d)*d))**4 assuming d is positive.\nAnswer: d**(-172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 457373571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/21, -104 in decreasing order.\nAnswer: -1\/21, -0.3, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/91 and 49\/117?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 21 = f, 0 = -0*f - 4*f - c + 24. Calculate the lowest common multiple of 2360\/56 - (-1 + (-68)\/14 - -6) and f.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 4*x**2 + x + 1. Let n be t(4). Suppose 3*s - n = 19. Suppose 196 = s*i - 6*i. Calculate the highest common factor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/3 (b) 2 (c) -1\/3 (d) 1748\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7915, -8752, -9589?\n\"Answer: -837*f - 7078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*q + 126, 3*h - 6*q + 189 = -q. Let k = -61 - h. Solve m - 3*l = k*l + 14, -l + 14 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*c + 12, -2*z = -3*c + 2*z - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from iieibiebiii?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 146902109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 26*c**2 - 21*c + 19. Let v be g(-10). Let t = v + 371. Let s be 3\/((-177)\/(-2)) - 0. Which is greater: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 7\/4, -274468, -2\/9, 3 in descending order.\nAnswer: 3, 7\/4, 2\/9, -2\/9, -274468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 12*u**3 - 114*u**2 - 180*u - 81.\nAnswer: 3*(u - 9)*(u + 1)**2*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*s - 6*s - 1850 = -27*s. Solve 26*t - s*t + 4*q + 24 = 0, -q - 5 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -139, -125, -97, -49, 25?\n\"Answer: g**3 + g**2 + 4*g - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 320152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 2*u**3\/3 + 7*u**2\/2 - u. Calculate z(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -2\/7, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 985 + -11c7d0?\nAnswer: -11bc49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4 + 11*n**2 + 5*n**2 - 12*n - n**3 - 3*n**2. List the prime factors of d(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24909 less than or equal to -224194\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o - 106 - 268 = 253 + 48 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 7*v - 4*v. Let s = -17 - v. Which is smaller: s or -11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 = 0, 3*t + 5*f = -t - 9. Suppose -3*m = -2*g + 1, t*m - 67 = -4*g - 15. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-756)\/(-5670)*(-6 + (-87)\/(-16)).\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4117.6 to the nearest 10.\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13774994 or 13774991?\nAnswer: 13774994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -671 - -704. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*z - 16 = -2*z, -5*h + 56 = 3*z. Which is smaller: h or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -217*k + 777. Give h(-31).\nAnswer: 7504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 18*b**2 - 21*b + 11. Determine k(19).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1492 - -25365\/17. Let m(j) = j**2 - 3*j**2 - 2*j - j**3 + j**2 - 1. Let t be m(-1). Which is greater: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12636112511 + -324.\nAnswer: -323.87363887489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 13 - 6*y**2 + 6*y**3 - y**3 - 15*y - 4*y**3. Is m(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 10:53 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 954 = 6*o - 5418. Does 59 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - p + 3)*(0 - 1 + 2)*(18 - 1 + 2) in the form y + c*p and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/20995 and -199\/19890?\nAnswer: 377910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**4\/8 - 475851*m**3\/8 - 98257113*m**2 - 40840425600*m - 40742227968 = 0.\nAnswer: -156952, -832, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t - 2*t**2 - t + 129 - 349 + 106 to o*t + f + c*t**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (181 - 191) + 0 + -1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**6\/40 - k**5\/30 - k**4\/12 - k**3\/6 + 5*k**2\/2 - 2. Let v(w) be the second derivative of z(w). What is v(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 39 (b) 9 (c) -2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.09803 litres to millilitres.\nAnswer: 84098.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5 + 1 + sqrt(1008) + sqrt(1008))**2 - sqrt(1008) - ((sqrt(1008) + -1)*1)**2).\nAnswer: -18234 + 1080*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 3*m + 1. Let t be f(5). Let n(w) = t*w - 5*w - 4*w. Let u(q) be the second derivative of 5*q**3\/6 + 11*q. Give n(u(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -983282285 to the nearest ten thousand.\nAnswer: -983280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234.66 + -101.66. Put -0.2, u, -2\/17 in descending order.\nAnswer: u, -2\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/1*(-4)\/8. Suppose 180 = -k*g + 455. Let y = g - 37. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.97 + 1.03. Let k be 12 + 0 + 2 + 0. Let z = -29\/2 + k. Which is the second biggest value? (a) 2\/9 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*a - 4*w, -2*a = -2*w - 3*w - 20. Let j be ((-4)\/6)\/(2 - a). Factor -2\/9*y**3 + j*y + 2\/9*y**2 - 2\/9.\nAnswer: -2*(y - 1)**2*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.9569028009 - 428.9627972091. Let i = k - -436.0197. Let q = i - 0.1. What is q rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r. Let w(b) = -6*b**3 - 2*b**2 + b - 5. Let x be w(0). Let c(o) = -12*o - 2. What is x*d(l) - c(l)?\nAnswer: 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + 26 + -47 + -29.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19573 divided by 19573.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m = -104. Suppose 0 = -4*z + 11*z - 224. Suppose d - z = -5*q, 6*q = q - 5*d + 20. Calculate the remainder when m is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1050 + 1050.00000427. Round i to seven decimal places.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(-9)*(228\/20)\/(-19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2554 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.41 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21260522435 - 1?\nAnswer: 21260522434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 5 - 3*h + 4*h - h + 4*h + 4*h + (4 + 2*h - 4)*(1 + 2 - 1) - 6*h + 5*h - 6*h.\nAnswer: 5*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -206\/9007 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-858)\/(-36) - 17)*-3)\/((-3)\/(-6))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13)\/l*l**(7\/3)*l*l*l\/(l*l*l**4)*l\/(l\/l**5*l*l))**23 assuming l is positive.\nAnswer: l**(-805\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -955099, -955104, -955111, -955120, -955131, -955144, -955159?\nAnswer: -955176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121570094 - 2.\nAnswer: -121570096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 13\/6 (c) 12 (d) -0.2 (e) -27\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -538893 and -1628816?\nAnswer: 1089923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/15 + 122\/3.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 3*l**2\/2 - 15. Let w(o) = -15*o**2. What is t(w(x))?\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 1. Suppose -5*z + 4 = 4*d, 5*d + 2*z - 5 = -0. Let f be y(d). Let v(h) = -1 - 4*h + 4*h + h**f + 2*h. Determine v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 19.4. Let f = b - -0.1. Let y = -1.515 - f. What is y rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -129*w**2 - 597*w + 20. Let a(q) = -37*q**2 - 199*q + 6. Calculate 7*a(p) - 2*t(p).\nAnswer: -p**2 - 199*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/99 and -131\/12.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-4*2\/6). Let z be (-6*(-13)\/26)\/((-12)\/(-32)). Sort p, z, 2, 0 in decreasing order.\nAnswer: z, p, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000135374 to 7 dps.\nAnswer: -0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30111424341 - -43?\nAnswer: -30111424243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 55281*w**2 + 32*w + 26. List the prime factors of n(-1).\nAnswer: 3, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 303*o - 604*o + 301*o + o**2. Let c(d) = 508*d**2. What is p(c(v))?\nAnswer: 258064*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 36.2. Let i = 35.72 + q. Let m = i - 1.12. Which is the closest to 2\/7? (a) 3 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/34)\/((-2)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, l: 1, i: 2, z: 1, g: 3}. Give prob of picking 1 z and 1 i.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5647930*n**2 - 3329364 wrt n.\nAnswer: -11295860*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -2 + (1057 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 + (-136)\/(-2) + (20 - 16) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 + b + 1. Let z be m(-2). Put z, 3, -5, -4 in decreasing order.\nAnswer: z, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/1288425 and 17\/50.\nAnswer: 2576850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240\/540 + (-198200)\/(-36).\nAnswer: 2, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 43491000.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + c - 2. Let z be h(2). Suppose -z*v = -5*v + 120. Calculate the common denominator of 274\/v - 2\/(-8) and 5\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 36*l - 1613. Determine f(45).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 859940449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 12:25 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348871 = -48*c - 117175. What are the prime factors of c?\nAnswer: 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3730*k**2 + k + 3729*k**2 + k + 81*k**5 - 3)*(1 + 1 + 2).\nAnswer: 324*k**5 - 4*k**2 + 8*k - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-254)\/(-18))\/((-594)\/8). Let h = 2\/243 + z. Which is the smallest value? (a) 0 (b) h (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 244*r - 4*r**2 - 403*r + 2*r**3 + 144*r + 4. Let n(s) = s**3 - s**2 + s + 1. What is 4*n(k) - q(k)?\nAnswer: 2*k**3 + 19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 8 = 4*s, -3*d - 5*s = -5*d - 7. Let t = 3 + d. Suppose -t*z - x = 3*z - 1674, 0 = 2*z - 3*x - 673. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119795 is divided by 393.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 300.2 from 1.012.\nAnswer: -299.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 390788029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 2*i + 4*a, -i + 243 = 2*i - 5*a. Suppose -5*o = 5*z + 1795, -z - i - 277 = 3*o. List the prime factors of (20\/30)\/(2 + 712\/z).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -14. Suppose 8*n = 3*n + f. Let h(r) = r + 0*r**3 - n*r**2 - 4*r**3 + r**3. Calculate h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/5 + 49582*x**3\/5 - 81952434*x**2 + 1129167820922*x\/5 - 2256696989788\/5.\nAnswer: -2*(x - 8263)**3*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 103?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 22503\nAnswer: 1\/22503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*r - 30*r - 238. Suppose -30*s = -r*s + 592. Does 40 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 1, a: 1, x: 1, h: 2, t: 1}. What is prob of sequence ak?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18287.38068628 + 0.24168628. Let z = v + 18211.1. Let j = z - -76. Round j to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:36 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - i + 1 = -5*a, 0 = -2*a + 5*i + 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/(-4) + -10 - 15\/(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1133*a**6*v - 177*a**3*v + 1219*a**2*v + 69*a*v wrt a.\nAnswer: 135960*a**3*v - 1062*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 857584447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 5:28 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.58 and 0.03?\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29817594.\nAnswer: 2, 3, 1656533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express -3109*f + 3 - 5*f**3 + 19*f**2 - 3117*f + 6237*f as s*f**3 + h + b*f + c*f**2 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 880833628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -138, -211, -278, -339, -394, -443?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 + p**2 - 3*p + 2. Let i be u(1). Which is the third smallest value? (a) i (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -437*i**2 + 5*i - 2. Let r(x) = 2*x + 6. Let j be r(-2). Let d be g(j). Round d to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44605237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let z(h) = -h**n + 0*h**2 - h**3 + 0*h**3 + 6*h**2 + 1. What is z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-4) + 4 - 3 - 1. Let p(c) = -8*c + 2. Let v(b) = 7*b - 2. Determine a*p(x) - 5*v(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 575 and 1357.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.1. Let d = 23770.8 + -23774.8. What is the biggest value in f, 36\/11, d?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from yccbczca?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -63817.\nAnswer: 10\/63817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.43 - 0.5. What is the third smallest value in 3, 2, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 2*r**2 - 2*r**2 - 43*r**3 + 44*r**3 in the form o + c*r**2 + h*r + m*r**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -76\/671 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 111825.2 - -523.7245\nAnswer: 112348.9245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*m + 20, m - 3*p + 8 = -4. Let x be 0\/(m + 2 + -4). Is x < -8\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1204, 10, -0.5, -1 in decreasing order.\nAnswer: 10, -0.5, -1, -1204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1089*k**6 - 3*k**2 - 121*k?\nAnswer: 130680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 312\nAnswer: -1\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (1 - 11\/(-2)) - 2.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = 2*m, -3*r + 22 = m. Let v = 2337 + -2332. Solve -5*n - v*z = -z - r, 2*n = -5*z - 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 8) to base 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510 = 6*j + 150. Let x be (-444)\/(-45) + 8\/j. Let b be 11\/55 - 2\/x. Let w(q) = q**2 + q - 8. Determine w(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 486 = 3*x. What is the remainder when x is divided by 3 + 298\/16 + 1194\/3184?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(78) - (sqrt(78) - sqrt(78)*2)) + sqrt(78) - sqrt(78)) + sqrt(78))*-1 + sqrt(78))\/sqrt(6).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*l - 3346 = 3353 - 2539 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 316 = 4*c, -2*p + 3*p + 79 = c. Let k = c + 23. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111100000001101 (base 2) to base 9\nAnswer: 156045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.117 - -0.1169943. What is z rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 25 = -5*c, 5*c + 3*k + 2 = 3. Suppose 2*q - 4*o = 232, 2*o + 95 = c*q - 135. Suppose -q = 65*r - 68*r. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 37\/48*s**4 + 1\/80*s**5 + 0 + 323\/24*s**3 - 111*s - 361\/8*s**2. Factor h(q).\nAnswer: (q - 1)*(q + 19)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321537 rounded to the nearest ten thousand?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from sjsssdssjttvddsdjj?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52.67 - 1.33. Let l = u + 53.986. Let q = 0.0132 + l. Round q to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*j**2 + 324*j**2 - 2188*j**2 - j**3.\nAnswer: -j**3 - 2477*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4527*n**3 + n**2 + 4*n + 3. What are the prime factors of r(-1)?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -16.3?\nAnswer: -32.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*a + 3*z - 15, a - 3*z + 9 = 0. Suppose 0 = k + a - 2. Calculate the lowest common multiple of 0 + k + (11 - 2) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (5 - (2 - (-3 - -5)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2\/(t**(-4)\/t)*t**(1\/4)\/(t*t**(2\/3)\/t)*t*t\/((t*t\/(t*t\/(t*t\/t**2*t*t)))\/t*t*t)*t**(-6\/7)*t\/((t*t**4)\/t)*t**(2\/3)*t assuming t is positive.\nAnswer: t**(95\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 9:38 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/18 + (-32)\/(-72)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**3 - 2*s**2 - 12*s - 12. What is the tens digit of w(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1507 or 1508?\nAnswer: 1507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 0.3 (b) 0.6 (c) 108711 (d) -0.2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -256160 (base 9) in base 11?\nAnswer: -a6844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 + 61 + 70)*(5*j**3 - 3*j**3 - 3*j**3) + 2*j**3 + 11*j**3 + 35*j**3 + (j**2 - 2*j**2 - j**2)*(-4*j + 4*j - j).\nAnswer: -142*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*a**2 + 130447*a - 130447*a.\nAnswer: 324*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 10. Let o be c(-12). Let t(b) = -5*b**2 - 4*b - 8 + 6*b**o + 6*b + 4*b. Give t(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177500 is divided by 88730.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6020 by 860.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*j**4 + 3*i*j*s - i*s + 7*j**4 + 25*j**3*s + 163*j**2 wrt j.\nAnswer: 24*i*j + 168*j + 150*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*t**3 - t**2 + 21*t.\nAnswer: 126*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**7\/42 + 33*i**5\/20 + i**4\/6 + 2*i**3\/3 - 25*i. Find the third derivative of m(h) wrt h.\nAnswer: 60*h**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 546247051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 21 - 141. Let r be 2\/(-8) + -5 + 246\/g. Suppose 0 = -r*y - y + 888. Calculate the remainder when y is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f - 8 = -3*l, 2*l - 6 = 3*f. Let k(y) = -y**2 - 9*y + 7. Let z be k(-9). Suppose -z*t = -3*t. Solve t*u = 2*u + l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 + 250 + (108 - 81).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 176*b - 169*b + 14. Sort 1, b, -61, 3, -1.\nAnswer: -61, b, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -3, 4, 92 in decreasing order.\nAnswer: 92, 63, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/9)*f**(6\/11)*f)\/((f*f**(8\/9))\/((f\/(f\/(f*f\/(f*f\/(f\/(f*f*f**12)))))*f)\/f)))**(15\/4) assuming f is positive.\nAnswer: f**(-3275\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 1, v: 1, z: 1, d: 1}. Give prob of picking 1 a and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((-160)\/800)*10\/(-25).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68911723 rounded to 4 dps?\nAnswer: -0.6891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/18 + 0)\/(2\/(-9)). What is the third derivative of 10*u**6 + 6*u**6 + 20*u**f + 39*u**2 wrt u?\nAnswer: 4320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.016 - -0.116. Let j = 8940.900112 + -8941. Let p = b + j. What is p rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b - 153. Let n be u(-18). Suppose 3*l + 2*y = -0*l + 22, -5*l - 5*y = -35. What is the lowest common multiple of 76 and (108\/l)\/n*8?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2\/7 (c) 213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1705*d + 37775. Calculate f(-22).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 15. Let p(s) = -4*s - 2. Let o be p(-2). Let w(i) = o + 6*i - 5 + 4*i - 4*i. Give w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-18)*-10 + (-4)\/(-12). Suppose -y*w + h - 139 = 0, -3*w - h = -4*w - 72. What are the prime factors of (-8 - w) + 2*2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 18949305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (88\/4 + 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245 divided by -155.\nAnswer: 49\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 403.\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 7*q**3\/6 + 25*q**2\/2 + 18*q. Let s(n) = -8*n - 26. Let h(x) = 5*s(x) + 6*t(x). What is the first derivative of h(o) wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 81*f + 15. Let p(x) = 97*x + 13. Let s(r) = 30*r + 4. Let u(o) = 5*p(o) - 16*s(o). Calculate 2*d(t) - 33*u(t).\nAnswer: -3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 9*n**2 - 8*n - 4. Let w be h(-8). Let f(t) = -9*t + 3. Calculate the remainder when f(-3) is divided by 2 + w + 0 - -18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -3*h + 3*k + 24, -47*k - 106 = h - 42*k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, 2614, 1\/70, -1\/11, 9, 1, -3\/5?\nAnswer: 2614","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-84 + 24966\/292)\/((-3)\/(-5)*-6)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19218 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 26*p. Let r(g) be the third derivative of g**4\/24 - g**2 - 15. Give j(r(h)).\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 - 28 = 77*u - 117 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a microsecond in nanoseconds?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v + 0*v - 5*v + 0*v + 3*v + (1 + 0 - 3)*(-v - v + 0*v) + (4*v - 2 + 2)*(-3 + 4 + 1))*(v**2 + 3*v**2 - 2*v**2).\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 142*u - 828. Let m be l(6). Calculate the greatest common divisor of m and 416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19632 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1561125*y**2 + 645288*y**2 + 4 + 3 - 6.\nAnswer: 2206413*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.24 from 39294861.73.\nAnswer: 39294861.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**5 + 124*b**4 + 35*b**3 + 2*b**2 + 3*b + 5643 wrt b.\nAnswer: -120*b**2 + 2976*b + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19137 (base 10) to base 14.\nAnswer: -6d8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 1:52 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137226 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/6)\/((-26)\/3). Suppose -2*r + 8*r = 0. Let b = 7.3 + -7. What is the closest to r in 0.1, t, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-735))\/(6\/140).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.416 - -0.516. Sort 4\/277, 5, i in descending order.\nAnswer: 5, i, 4\/277","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyeyykokyyokykyk. Give prob of sequence ok.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 482951 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**3 - 8*c**3 + 9*c**3)*(0 + 2 - 1) + 785 - 785 - 2*c**3 + 0*c**3 - c**3 - 2*c**3 as l + a*c + k*c**2 + q*c**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**5\/9 - 2*d**4\/3 - 16*d**3\/3 - 74*d**2\/9 - 11*d\/3 = 0.\nAnswer: -3, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*r - 10 = 0, 7 = 2*k + 3*r - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1651656 (base 9) in base 3?\nAnswer: -1201201201220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-35)\/(5775\/(-30))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + 3*g - 3. Let r(i) = 7*i + 2*i - 3*i**2 - 5 - 4*i. Let z(u) = 3*r(u) - 5*v(u). Let h(c) = -c**2. Determine h(z(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/9*-3*43. Suppose l = -3*i - 42 + 181, -2*i = -5*l - 70. Let x = c - i. Sort 7, -5, x in decreasing order.\nAnswer: 7, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.057863 months in millennia?\nAnswer: 0.00208815525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3543, 7047, 10527, 13977, 17391, 20763, 24087, 27357?\n\"Answer: -n**3 - 6*n**2 + 3529*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2861600 divided by 2\nAnswer: 1430800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 13*x - 11. Give w(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13389782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.873362um in kilometers?\nAnswer: 0.000000005873362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840864928.\nAnswer: 2, 53, 71, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 - 112. Is (-2019)\/9*r*1\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Solve 4*m - 5*r + 2*r = l, 1 = m + 5*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32826, -32226, -31626, -31026, -30426, -29826?\nAnswer: -29226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/19 (b) 66 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -15 + 15. Suppose 3*a - a - 5 = -5*i, f = 3*a + 3*i - 3. Solve -2*d - 2 + 4 = a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26173, 52397, 78707, 105145, 131753, 158573?\n\"Answer: 7*k**3 + k**2 + 26172*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8987 * -0.03\nAnswer: 269.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Put -4, m, -1 in increasing order.\nAnswer: -4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69596209*y**2*z**2 + 6*y**2 + 110131*z**2 + 32*z + 8 wrt y?\nAnswer: 139192418*y*z**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:21 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2. Let q(o) = -o - 84. Give n(q(r)).\nAnswer: 5*r**2 + 840*r + 35280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**3 - 571862*t - 571863*t + 1715590*t - 571865*t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 31 = -8*c. What is the closest to c in 4, 0.2, -7\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11132124 (base 5) in base 3?\nAnswer: -12000212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 10*t + 7. Let m be n(-7). Let a be 10\/55 - m\/(-165). Suppose 0 = -0*j + 3*j + 9. Sort j, 5, a in decreasing order.\nAnswer: 5, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**3 + 40744*r**2 - 81496*r = 0.\nAnswer: -20374, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.07326282*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 2:52 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3 + 34252*q**2 + 1029302*q + 995048 = 0.\nAnswer: -29, -1, 17156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*f = -4, 0 = -4*m + 2*m + 2*f - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -15. Let a(i) = i - 10. Let v be a(l). What is the greatest common divisor of v and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201003300 (base 4) in base 11?\nAnswer: 92809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 11:11 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 + -160.15. Let w = 0.75 + y. Let k = 0.04 + 5.96. Sort k, -4\/5, w.\nAnswer: -4\/5, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -253, -265, -301, -373, -493, -673, -925, -1261?\n\"Answer: -2*k**3 + 2*k - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855399 is divided by 8305.\nAnswer: 8289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 4*m - 5. Let f be v(5). Let w(b) = b - 7. Let q be w(f). Let i = q - -13. Solve -p - p = -i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from {g: 2, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381 - 413 = 8*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48256)\/8352)\/((-80)\/270)?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93*t**2 - 2*t - 803.\nAnswer: 186*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 207, 5, -2, 562, 4, -1 in decreasing order.\nAnswer: 562, 207, 5, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(192)\/(3*sqrt(12)\/sqrt(3)))\/((sqrt(64) + sqrt(4))*2 - (sqrt(48)\/sqrt(2))\/sqrt(6)).\nAnswer: -8*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*n**2 - 75*n**2 - 9471 + 9471 + 21*n**2.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -98380000 rounded to the nearest 1000000?\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.15 - 5. Let r = -0.05 + m. Which is the nearest to r? (a) -0.1 (b) -2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.998 + -9.01. Round d to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -624*p + 34939. Calculate f(56).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4697, 24 in decreasing order.\nAnswer: 4697, 24, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13139370?\nAnswer: 2, 3, 5, 67, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**8\/53760 - 11*m**7\/20160 + m**6\/576 - 229*m**4\/24 - 160*m**2. Let h(d) be the second derivative of k(d). Factor h(i).\nAnswer: i*(i - 10)*(i - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, d: 1, x: 1, t: 2}. What is prob of sequence oxd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 1 - 13. Let i be (84\/56)\/(4 + -1)*-194. Let c be 2 - i\/11 - 20\/(-110). Solve -p*v - 1 = c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(12\/(-3))*-1. Suppose -5*i + 5*s - 5 = 0, 2*i + 0*i + x*s = -14. Let z = 0.6 - 0.6. What is the second smallest value in i, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a941 (base 13) in base 5?\nAnswer: 10040131","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -55, -175, -405, -781, -1339?\nAnswer: -2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/3 + 175*d**2 - 4845*d + 13005.\nAnswer: -5*(d - 51)**2*(d - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16132886, 64531277, 145195270, 258124871, 403320086, 580780921, 790507382, 1032499475?\n\"Answer: o**3 + 16132795*o**2 - o + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 226*m**2 - 1. Let o be u(-1). Let g be 12\/42 - o\/(-42)*2. What is the second biggest value in g, 2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 11:32 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 61. Let x(f) be the first derivative of 0*f + 0*f**3 - f**2 + 0*f**4 + 3\/5*f**w + 3. What is the second derivative of x(r) wrt r?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -12. Suppose -16 = -5*i + c*i. What is the second smallest value in 0.2, i, -2\/5, -1\/12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + -2 + 3 + (134 - (65 + -26))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.57, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1871 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = 3*a + 3*w, 1366*a + 11*w = 1362*a + 5*w - 108 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3828 - 6)\/(-1 + 2). Let q = 1705 - t. Let d = q + 1247. Round d to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-3) - (-1500)\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -135, -270, -405, -540, -675, -810?\n\"Answer: -135*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**2 - 2*j. Let b be a(-2). Let u = b + -19. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 2*n + 2. Let c = 8 + -7. What is the remainder when j(c) is divided by 3\/(-1)*4\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -276.0103781 to one decimal place.\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10080814 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -323 - -340. Let m(t) = -8*t**2 - 11*t**3 + 24*t**2 - f*t**2 - 12*t**3. What is m(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpjjtddjjptwjjj. Give prob of picking 1 j and 1 d.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 8576 = -251*h for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3\/2)\/r)\/r)\/((r**18\/r)\/r) assuming r is positive.\nAnswer: r**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(6\/5)*x**(2\/49)*(x**(2\/3))**49)**(1\/15))**46 assuming x is positive.\nAnswer: x**(1146412\/11025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/270042 and 59\/450070.\nAnswer: 1350210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -248 >= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - p**2 - 3*p + 1. Let l(u) = 1383*u**3 - 2*u**2 - 6*u - 331. Let n(h) = -l(h) + 2*z(h). Find the first derivative of n(a) wrt a.\nAnswer: -4161*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584771107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -299*t**2 - 3*t + 656. Let g(a) = -895*a**2 - 11*a + 1967. Let p(n) = -7*b(n) + 2*g(n). Find the first derivative of p(k) wrt k.\nAnswer: 606*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 2*q**2 - 2*q - 3. Let p(m) = 2*m**3 + m**2 + 4*m + 7. Let l = -57 - -61. Let d(y) = l*p(y) + 7*s(y). Calculate d(10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145082395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -3. Let z be 18\/(1\/y*-1). Calculate the greatest common factor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-20 + (-1)\/1). Let t = 58 + -51. Suppose -40*u = 16*u + 15*u. Solve u = -3*s + t*s + w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.57 + 0.85. Let t = 3.14 + -0.24. Let k = u - t. Round k to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 7) in base 10?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 7:35 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3 + sqrt(19) + 0 + 2 - (1 + -2 + -1 + sqrt(19))) + 5 + 4).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -5*s + 40, -11*s + 5*f - 13 = -8*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2\/8 + 1740603*s\/4 + 3481209\/8 = 0. Calculate s.\nAnswer: -1, 1160403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-3) - 3 - -16. Let x(f) = f**2 - 9*f - 30. Let j be x(c). Suppose 2*l - l = -h, -3*l + 5*h = -j. Solve 3*g = -4*w - 5, w - 3*g + l = -0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - -5*(sqrt(130) + sqrt(130) + sqrt(130)*2) - sqrt(130) - -2*(sqrt(130) + (sqrt(130)*1 - sqrt(130))))\/((sqrt(70)*-1*-2 - sqrt(70))\/sqrt(7)).\nAnswer: 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 587.49 + -587.09. Let t = -0.1 - 0.2. Which is the closest to -0.1? (a) n (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 27*t + 27. Let r be m(15). Suppose 5*d - r = -4*d. Calculate the remainder when d is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 12*f**2. Let o(u) = 22496*u + 22496*u - 44810*u. Determine o(b(d)).\nAnswer: 2184*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12401 + 12399. What is the third biggest value in 12, 1, k, 0.14, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**5\/60 + 7*b**4\/24 - b**3\/6 - 758*b**2. Let l(c) = c**3 - c**2 + 5. Let r be l(0). Calculate x(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2303*y + 3375*y - 1774*y - 12617 + 250761 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63057989263 plus 23?\nAnswer: 63057989286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a kilometer in meters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:24 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 343604260 - -3?\nAnswer: 343604263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/12*888\/(-64))\/(2\/(-16)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - 4 - -3) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 0 + 7 - 3. Solve -s*g + 4 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 9 (c) 5 (d) 0.3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 + 7 = 4*r, -5*r - 2*u + 10 = 0. Let n be -4 + 4 + 62\/r. Suppose -9 = -c - k, 4*c + 2*k - n = -k. Solve 2*z + p + 8 = -3*p, -c*z = 4*p + 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140666.\nAnswer: 2, 61, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 + 2*u**3 + u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23341 - -1011?\nAnswer: -22330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33)\/(-15))\/(4\/(-10)))\/(254\/(-508))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 6*h - 36 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45674 + -814086.\nAnswer: -859760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 10100 (base 2) to base 12\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0543 - -2.9457. Put u, -2, 14 in decreasing order.\nAnswer: 14, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/(-8)*(-6)\/(-27)*3. Let i(j) = j**3 - 9*j**2 - 9*j - 6. Let f be i(10). What is the closest to 1 in -0.3, t, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = y, 0*y = -2*p - 4*y - 36. Let n be 6\/p + (-1265)\/(-25). Suppose -11 = 3*d - n. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = -3*v + 75, -3*v = 4*g - 99. Let s = -1112 + 1187. Let w = v + s. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 9:49 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/88854 and 31\/1229147.\nAnswer: 7374882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(152) + sqrt(152) + (sqrt(152) - (2*sqrt(152) + sqrt(152))))*-6 - 5*(1*sqrt(152) + sqrt(152))))\/((5*sqrt(16))\/sqrt(2) - sqrt(512)*-6).\nAnswer: -30*sqrt(19)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2))**2*-5 + (sqrt(363) - (sqrt(363) + sqrt(363) + 1 + sqrt(363)))**2.\nAnswer: 44*sqrt(3) + 1438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 2*n**2 - 3*n + 2. Let d be v(-3). Suppose -3*x - d*m = 5 - 4, 2*m = -2*x - 2. Solve 2*h = -2*r + 16, 0 = 5*h + 2*r - 24 - x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -2 + -39 + (2 + -10 - -3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 0*w + 17*w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19284 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 28 + 2*n + 10*n - 2*n**2 + 3*n**2. Let v be w(-11). Let p(u) = -u**2 + 10*u - 9. Give p(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*t - 3*l - 42, -1612*l = 5*t - 1607*l + 100 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -10. Solve u - 5 = -4*g, -3*g - 2 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*5*(-6)\/(-80). Let g(x) = 2*x**2 - 5*x + 4. Determine g(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 7*k**2 - 2*k + 20. Let u be t(7). Let j be (u\/(-4))\/((-83)\/166). Solve -j*o = -4*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6306\/11 and 574 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022001102 - 10?\nAnswer: -1022001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022001 + 11110100?\nAnswer: 101202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -26. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1607445 and -2\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*a**4 + 110*a**3\/3 - 154*a**2\/3 + 64*a\/3 - 8\/3 = 0. What is a?\nAnswer: 1\/4, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -53559 minus 0.1?\nAnswer: -53559.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 703 = -4*t - 408, -276 = t + 3*b. Let w = 241 - t. List the prime factors of w.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7589 - -7589.5. Which is the nearest to 1? (a) -2 (b) 1.27 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -104, -365, -794, -1385, -2132, -3029, -4070, -5249?\n\"Answer: q**3 - 90*q**2 + 2*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -550?\nAnswer: -4\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 58. What is the lowest common multiple of m and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-570)\/(-110) + 4\/(-22). Suppose -f - f = -2*c - 6, 4*f + z*c = 21. Calculate the remainder when 10 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*b + 59 = 283. Let k(q) = -3*q**3 - 2*q**2 + 6*q. Let r(g) = -3*g**3 - 2*g**2 + 5*g. What is b*k(t) - 5*r(t)?\nAnswer: 3*t**3 + 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 7.6554?\nAnswer: 3.06216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3312)\/336 - 2\/14. Which is the smallest value? (a) w (b) -1 (c) -2\/15 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 11*r**2 + r - 7. Suppose -3*m = -30 - 3. Let l be v(m). Suppose 5*k = -b - 0*b - l, 5*b - k = 6. Put 1\/5, 4, b in ascending order.\nAnswer: 1\/5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -830 (base 14) in base 6?\nAnswer: -11242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -14. Let n(c) = 35*c + 1. Suppose -4*u = -0*u - 2*a + 2, -5*a = 2*u - 17. Let k be n(u). What is the highest common factor of v and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4885352339?\nAnswer: 7, 17, 1249, 32869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1210976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1391139713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p + 15. Let d be t(-9). Let j be (12\/(-21))\/(d\/(42\/4)). Suppose 0 = -2*x - 2*x + 16, l = -j*x + 29. What is the remainder when 24 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/11)\/((-17)\/(-187)). Let h(m) = 2*m + 4*m - 6 + 6 + a. Calculate h(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(-2*n**2 - 1 + 1) + (3*n - 5 + 5)*(-n + 3*n + 0*n) + 3*n**2 + 0*n**2 - n**2 to the form w + y*n**2 + g*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 - 3*b**3 - 2 + 0 - 3 + 6 - b - 3*b**4 to the form x*b**2 + f*b**3 + l*b**4 + m + k*b and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-f + 3 - 3) + 3*f - 2*f + 2*f - 970*f - 1217*f - 133*f - 2630*f.\nAnswer: -4949*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2977*x - 17 - 5 - 2980*x. Let p(r) = 15*r + 11. Let q(c) = -4*c - 3. Let d(h) = 6*p(h) + 22*q(h). Give k(d(j)).\nAnswer: -6*j - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 66. Solve 21 - u = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(-2)*f*f*f)\/f)**8*(f\/((f*f\/((f*((f\/(f**15\/f)*f)\/f)\/f)\/f)*f*f)\/f))\/f**8)**2 assuming f is positive.\nAnswer: f**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h*m**3 + 29*h*m**2 + 4*h*m + 7*h wrt m?\nAnswer: 30*h*m + 58*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-37)\/74*1*(1 + 1). Is -2\/1033 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b. Let q(g) = -539*g + 21. Let o(h) = -20*h + 1. Let j(z) = 42*o(z) - 2*q(z). Give j(w(c)).\nAnswer: -1428*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/828 and 37\/66.\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 17\/30*v**6 + 0*v**2 - 29*v + 0*v**3 + 0 + 0*v**5 - 3\/4*v**4. What is the third derivative of g(k) wrt k?\nAnswer: 408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-four fifths of a century?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118054?\nAnswer: 2, 7, 79861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 72*i**2 - 338*i - 208. Let y be a(-67). Let o(v) = -v - 5. Give o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 15*p + 562. Calculate the remainder when 137 is divided by n(-29).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618999 is divided by 20633.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 121165 + -1455?\nAnswer: 117510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-44) - (-44)\/80.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 46\/5 of a kilometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) -3 (c) -1\/2 (d) 407.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -793602856.06 less than 0.3?\nAnswer: 793602856.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6855 + 3*w**2 + 6855.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62013 + -4?\nAnswer: 62006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*d = 2, 0 = 1066001*a - 1065996*a - 5*d + 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -156 - -306. Calculate the highest common factor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 41533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1825655487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -78471, -77036, -75603, -74172, -72743, -71316?\n\"Answer: -w**2 + 1438*w - 79908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -30. Let w be -2 - (1*10 - -1). Let a = w - c. Solve o = -2*o + a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 0) + 7 + (-107 - -75).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 11:54 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -28803845.893 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9836*x + 2623*x + 1990*x.\nAnswer: -5223*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*k + 20 = 0, -w = 2*k + 3 - 1. Let g be 0\/(4*3\/w). Suppose g = 2*m + 4*b - 16, -m - 2 = -5*b + 2*b. Is m not equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/9 + (-50)\/6. Let h be ((-2)\/(-4))\/((-2)\/v). Suppose o - h = -o. Solve -m = o - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + q**2 - 9*q + 11. Let h be o(-4). Let i be (-6 - -2)\/(h + 27). What is the third biggest value in i, 33, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4209 is divided by (-1)\/(-2) - (-357)\/14?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 829342943*h**3 - 1122919656.\nAnswer: 2488028829*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 18*t**3 + 13*t**2 + 9*t - 30. Let w be j(3). Let y = -161 - -233. Suppose -6*f = -w - y. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9257*z**2 - 2097*z**2 + 6*z - 296 + 149 + 147.\nAnswer: 7160*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 10, 7, 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - 73. Let r(n) be the second derivative of 0 + 2\/3*n**p + 1\/12*n**4 + n + 2*n**2. Factor r(k).\nAnswer: (k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/20 - 7*y**4\/6 + y**3\/6 + 5*y**2\/2 - 67*y. Calculate w(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323690118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -5\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 402, 806, 1210?\nAnswer: 1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4 + 1329*z**3 - 197127*z**2 + 9918531*z - 19059138 = 0. Calculate z.\nAnswer: 2, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4 - 5 + 0. Let f = -38 + 39. Let v(l) = -2*l + 2. Give f*v(w) + o(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*g - 1, -4*r - 4*g = 0. Suppose 3*c + 47*l - 84 = 49*l, -162 = -5*c - 4*l. Calculate the smallest common multiple of (15\/25)\/(r\/(-15)) and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 184768 and 254056?\nAnswer: 2032448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-1)\/(89\/(-356)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 907263781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -8. Let k = u - 16. Suppose -k - 33 = -4*i. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 9*m + 4. Let o be 3\/((-63)\/(-60))*7. Calculate the remainder when (-5)\/o + 37\/4 is divided by g(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47769 * -217.7.\nAnswer: -10399311.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11*80\/(-10230)*1*9\/12\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*d + 2*d + 65. Let x(r) = r**2. Let k(f) = 16*f**3 - 80*f**2. Give d*k(u) + 80*x(u).\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 = 4*j, 4*c - 3 = j + 4. Suppose c*y + 46 = 2*g, 7*g + 4*y = 3*g + 84. Calculate the smallest common multiple of 24 and g.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.06 plus 3619489?\nAnswer: 3619493.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 54*w + 756. Determine y(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -42. Let b(k) = -2*k**3 + k**2 - k. Let s be b(1). Let a be 4\/s*p\/(-2). What is the highest common divisor of a and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 + -102. Solve -4*b + a*b = 4*y - 8, 0 = 2*y - b + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-2)*37\/(-222)*20. Suppose -d + h = -8, -d + 2*d = -3*h - 12. Solve 2*n + 7 = d*g, 8 = b*n - 3*g + 21 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*a - 975 - 338 - 2379 = 1396 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**4\/4 - 2*c**3 + c**2 - 28*c - 2060. Give v(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*x + 110 = 0, z = -x - 2*x - 11. Does 14 divide (-3722)\/z + 6\/(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.020805 + -0.2138005. Let a = n - -0.193. What is a rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 1\/4*s**4 + 0*s**2 + 1\/3*s**3 + 0 - s. What is the second derivative of v(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 0*d + 3*y + 1525, 5*y - 1915 = 5*d. Let b = d + 698. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 10 - ((66 - 66) + 1 + 9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 0)*(0 + 1 - 5) - 1 - 2 + 10 + 2 - 1 - 2 - 3 - 1 + 3)*(-3 + 3 + 2*q**2).\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/13)\/(r\/r**5))**(-31)*(r**(2\/3))**3*r*r**(2\/15)*r**(1\/3) assuming r is positive.\nAnswer: r**(-24434\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/89764 and -103\/290.\nAnswer: 13015780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x - 20. Let s be d(3). Let b be 28\/s + -3 + 0. Solve 2*n = -3*r + 6, -3*n + b*n - 3 = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(32\/64).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341734 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -13*i + 810. What is the remainder when o(57) is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1841, 4281, 7317, 10943, 15153, 19941, 25301?\n\"Answer: -x**3 + 304*x**2 + 1535*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w - w)*(4*w**2 - 2*w**2 - 3*w**2) + 12*w**3 + 19*w**3 - 28*w**3 - 8*w.\nAnswer: 5*w**3 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46)\/(-184) + (-57734)\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m + 17*m + 23*m - 54*m - 6.\nAnswer: 4*m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Let r(u) = u**2 - 7*u**2 - u**o + 1 - u**3. Is r(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(1\/2)\/(j*(j**(-2\/9)*j)\/j*j*j**1))**(-43\/4) assuming j is positive.\nAnswer: j**(2537\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*k - 17*k - 503355000 = 0. What is k rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12621.7 + -12622. What is the nearest to -2\/3 in 18, -1\/5, 1\/6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 18 = -6. Suppose -14754 = -y*i + 2046. Round i to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.017 - 40.983. Let h = 1774 - 1810. Let t = h - k. What is the closest to -0.3 in 0, t, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 9*f - f + 0*f - 10.\nAnswer: f - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-12) + 53\/6. Find the common denominator of (-20)\/32*24\/40 and (50\/8)\/(u\/(-27)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 124*a**2 + 10*a + 158. Let z(w) = -w**2 - 4*w - 1. Let o(c) = -g(c) - 3*z(c). What is the derivative of o(v) wrt v?\nAnswer: -242*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 409*j - 411*j + 15 = 0, -4*b = 5*j - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -22, -33, -40, -43?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Let x(c) = -c - 17. Let o(t) = 2*t + 34. Let l(f) = 3*o(f) + 5*x(f). What is l(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x. Let p(z) = -59*z**2 - 7*z - 14. Let i(j) = 30*j**2 + 5*j + 8. Let k(a) = 7*i(a) + 4*p(a). What is k(s(d))?\nAnswer: -234*d**2 - 21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/11 - 922*d**3\/11 - 22438*d**2\/11 + 573978*d\/11 - 550620\/11 = 0.\nAnswer: -38, 1, 15, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + i + 429 = 0, -26*k = -29*k - 2*i + 247. Let q(b) = 5*b + 2. Let w be q(3). Calculate the highest common factor of w and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204*v + 1218*v + 253968 = -728*v + 264*v for v.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*d - 23585, 4*d + 5*w - 47225 = -0*d. Round d to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.194 + 0.127. What is z rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4\/237, -2\/11, -1\/8, -5\/2 in descending order.\nAnswer: 8, 4\/237, -1\/8, -2\/11, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -54, -44, -5 in decreasing order.\nAnswer: 2, -4, -5, -44, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-4 - -17)) + 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7719 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 - 37*s + 13. Calculate u(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 421624 and 1288?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144468.9 milligrams to grams.\nAnswer: 144.4689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -110*z + 330. Let t be q(3). Solve t = -112*y + 116*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2666947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y + 6 + 9 - 66 + 27*y**2 - 8*y. Is 81 a factor of l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38286 and 864?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - 36 - (1 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 14717 + 10035 = 69*f. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000130261828 rounded to six dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = -20. Let o(m) = m + 5. Determine o(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7842?\nAnswer: 2, 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2873*j**2 - 123540*j + 35. Calculate l(43).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h - 6. Let x = 0 - h. What is the third derivative of 3*o**6 + 0*o**6 + 0*o**6 - 3*o**x wrt o?\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 = -13. Let a = -3 - y. Let v = -1 - -1. Solve v*w = -a*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 1, 6*a - 2*a - 4*o - 104 = 0. Let r = 34 - a. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2125010 = 34*a - 2123684 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 11:47 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(-1 + (-85)\/(-75))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3 - 13*j + 1 + 11*j. Let c(v) = -5*v**2 + v - 1. Let x be c(1). Calculate the remainder when 51 is divided by d(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 30*l**2. Is 10 a factor of p(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000902960 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127*w**4 - 2*w**3 + 27168*w**2 - 19*w - 9214 wrt w?\nAnswer: -1524*w**2 - 12*w + 54336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/(-440)*-3*(-220)\/8.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5 = 1. Suppose 7 + 13 = 2*v - 4*z, -3*v = 4*z. Suppose -18*o = -16*o - v. Solve o*s - s = -y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-2 + 19))*(1 + 0). Let x be 7\/w - (0 + (-6)\/(-4)). Let l be ((-8)\/(-20)*25)\/((-1)\/x). What is the highest common divisor of 180 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**17\/l**17)\/(l**(-2)*l**(-6\/13)*l*l) assuming l is positive.\nAnswer: l**(6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 7:06 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Let s be -8 + (11 + -12 - -10). Which is the closest to -0.1? (a) -0.3 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-9))\/((-6)\/(-369)). Let g = p - -38. What is the nearest to -0.1 in -5, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -214430*k**4 - 4*k**2 + 13442*k - 2.\nAnswer: -5146320*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = 3417 - 857. Let z = 1608\/5 + p. Find n such that 12\/5*n**2 - z*n + 2\/5 - 8\/5*n**3 + 2\/5*n**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38033561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q. Let k(p) = 334235*p**2 - 153164*p - 2596. Let x(f) = 644*f**2 - 295*f - 5. Let y(o) = -5*k(o) + 2596*x(o). Calculate v(y(j)).\nAnswer: 1947*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.13554*-0.3\nAnswer: -0.040662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 8\/51*o**3 + 8\/85*o**5 - 3\/17*o**4 - 1\/51*o**6 - 16 + 0*o - 1\/17*o**2. Factor h(a).\nAnswer: -2*a*(a - 1)**4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22735413 to the nearest integer?\nAnswer: 4768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-28))\/((-54)\/(-64)). Let q be (1965\/(-567))\/((-1)\/(-2)). Let y = q + x. Find the common denominator of -51\/10 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p - 2*p)*(4*p - p - 2*p)*(5*p - 8*p + 6*p).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/60*8\/(-18). Let n(i) = i**3 - 4*i**2 - i + 3. Let w be n(4). Is w > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1)\/(3\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117.85 + -2.85. Let f = 117 - w. Sort -0.46, 1, f.\nAnswer: -0.46, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a. Suppose 0 = -5*l - 2*w - 12, -w + 1 = -l - a*w. Calculate the least common multiple of 4 and (2 - 3 - 17)\/l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/239468 and -97\/8.\nAnswer: 478936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-63))\/(296\/24)*-6. Is l <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112 + -107. Suppose -a*x - 85 = -935. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o = 38*o - 44. Solve o*b - 5*b = -18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -52*i + 2. Let b(a) = -a. Determine -2*b(n) + h(n).\nAnswer: -50*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -884304 by -4968.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 7 = -10*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4537 and -2.3.\nAnswer: -10435.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + m - 1. Suppose 3*z = k - 1 - 5, -4*z - 8 = -4*k. Give y(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 52\/12 - (-2)\/(-6). Let v be 112*16\/(-2)*b. Let r be v\/6*187500\/(-8). What is r rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**1)\/(l*l**(1\/8)*l))**(1\/7)\/(l*(l*l\/l**(-1\/5))\/l*l**(-5))**(2\/37) assuming l is positive.\nAnswer: l**(-97\/10360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/9))**(-12)\/(v\/(v*v*v\/(v**(-6)*v)*v))**(1\/16) assuming v is positive.\nAnswer: v**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 1. Suppose -2*i = 5*r - 38, -5*r = 4*i - 22 - 24. Let z(f) = -4*f + 5. Give r*s(o) + z(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1840)\/(-2300)*(-10)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 2:32 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -18*t + 841 - 349. Solve 0 = -t*x + 7 + 93 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 22 = -5*w, 24 = -4*w - a + 5*a. Let k be 132\/96 - 1*w. Suppose 3*r - 6*r - 5*g + 14 = 0, -r + 7 = 4*g. Which is bigger: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fosf when four letters picked without replacement from {s: 2, o: 4, k: 5, f: 2, c: 4}.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23157852 or 23157850?\nAnswer: 23157850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14512654 to the power of 1\/2, to the nearest integer?\nAnswer: 3810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2, 5*r + 5*j = 4*r. Let f = 7 - r. Let v(c) = 3*c + 2. Calculate v(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 478, 354, 146, -146, -522, -982?\nAnswer: -1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.19462135 rounded to 1 dp?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -1.05. What is the third smallest value in 3, 0, 1\/3, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 3233570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m - s = 36, -4*m + 5*s = -148. Let r(h) = 4*h + 236. Let c be r(29). What is the greatest common factor of m and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let t(n) = n**3 + 7*n**2 + 2. Suppose 5*m = -5*j - 10 - 25, -m = -2*j + 4. Let b be t(m). Solve -h*d = 5*c + 25, -4*d + 6 = 4*c + b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from zrnqrrrqnrzzq?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (4 - 6)\/2. Let o(c) = 4 - c**2 + 4*c**3 + 0*c**2 - 2*c - 3*c**3. List the prime factors of o(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + a + 6 = 0, -v + 5*v - 8 = -2*a. Let u = 7 + 27. Suppose 3*l - l - u = -4*q, -2*q = -2*l - 20. What is the smallest common multiple of v and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7404810.3 seconds?\nAnswer: 2056.89175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 + 11*r - 2. Let n(t) = -t**2 + t. Calculate i(c) + 3*n(c).\nAnswer: 2*c**2 + 14*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 76 = 3*l. Calculate the remainder when l is divided by 123\/(-82)*322\/(-21).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 2*b + 7*b**2 - 15*b**2 - 11*b**2.\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19529, 5 in ascending order.\nAnswer: 2, 5, 19529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 8. Let b be (-3)\/(-9) + (-320)\/24. What is the units digit of a(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174179 or 174081?\nAnswer: 174081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 545027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10695000 to the nearest 100000.\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96427.9 rounded to the nearest one thousand?\nAnswer: 96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -15. Solve -2*n - 4 = a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111021 + -1?\nAnswer: 111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -504*d**2 + 389 wrt d.\nAnswer: -1008*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 180 = -12*p. Calculate the remainder when p is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13032303213 (base 4) in base 11?\nAnswer: -1085263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 71*h**5\/60 + 27*h**2 - 21*h - 3. Let s(b) be the first derivative of c(b). Let v(l) = 4*l**2. Give v(s(f)).\nAnswer: 20164*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -640, -1283, -1926?\nAnswer: -2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2496, -2\/7, -0.5 in ascending order.\nAnswer: -2496, -0.5, -2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2. Let x(i) = 4*i**2 + 7. Give 5*s(o) - x(o).\nAnswer: -9*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -208 - -11?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 - 9*t + 3. Let s(p) be the third derivative of -p**5\/30 + 5*p**4\/24 - p**3\/3 + 28*p**2. What is -4*k(y) - 7*s(y)?\nAnswer: 2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 2 - 3)*(-8 + 2*a + 8 + 1 - 1 - a + a + 0*a - 2*a + (2*a + 0*a - 4*a)*(4 - 1 - 1) + 3*a - 4*a - a + 148 + 31 + a - 75) as b + i*a and give b.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 27*h**2 - 345*h - 72. Let t be l(13). Solve -t*f - 119 + 149 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50445 - -2.\nAnswer: -50443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -415 - -411. List the prime factors of 105\/9*(-30)\/u*6.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1157 or 1663\/21?\nAnswer: 1663\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -436422\/89 less than -4905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498 times 467.687?\nAnswer: 1168282.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-36) + (-80)\/(-45) + -2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.71 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60883736?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*9\/(-15))\/((-2)\/(-20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1913 + -4960. Let o be (r\/44)\/((1\/964)\/(-1)). Let c = 35757 - o. Round c to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176.3 + 200. Let s = -145.7 + o. Let n = s + 122.00049. What is n rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/109 or -1?\nAnswer: -4\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-270)\/63)\/(3\/(-14)). What is the hundreds digit of (-3)\/(-15) + 3396\/y + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -5 - (-2 - 1). Suppose v*o + 3*o = 0. Factor -2\/3*r**2 + 0 + o*r - 2\/3*r**3.\nAnswer: -2*r**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51577\/47770 + 12\/1405. Find the common denominator of 0 + 14\/44*-14 and a.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.519 - -5.871. Let f = x + -3.39. What is the third smallest value in -4, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -15*g + 13. Let r(v) = -7*v + 6. Let m(n) = -6*f(n) + 13*r(n). Let x(h) = 29*h**2. Calculate x(m(t)).\nAnswer: 29*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -695100 to the nearest ten thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(1120\/45)*(-8)\/2*(-1)\/2?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*c = -39*c + 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 + 6*s - 6. Let t(d) = -2*d**2 - 3*d + 3. Let j(l) = -3*a(l) - 5*t(l). Let y(w) = -2*w**2 + 5*w - 6. Calculate 5*j(z) + 3*y(z).\nAnswer: -z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 8 = -2*o + w, -5*o - 5*w = -10. Suppose 21745 = -o*h - 14255. What is h rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from {a: 12, j: 5, h: 2}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - 392967\/(-198) - 1*4. Let a = l - 1977. Calculate the common denominator of -105\/52 and a.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -1.035189899.\nAnswer: 6.035189899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 54873\/5159 - (-4)\/11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 47, -4 in ascending order.\nAnswer: -4, 0, 6, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 439*z**2 - 5635*z + 8. What is the units digit of f(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7015 or 7302?\nAnswer: 7015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07293184434 rounded to 3 dps?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -425 - -623. Suppose -3*l + o = -l. Suppose -5*u = -2*j + 13, -j + 4*j + 5*u - 32 = 0. Calculate the highest common factor of j and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 1242 + 1258 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 42*g - 35. Let m(n) = -n + 1. Suppose 5*i + 23 = -18*i. What is i*t(l) - 35*m(l)?\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*x + 5190 + 11370. Solve 17*o = -x + 397 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*u + 91*u + 3 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 = -0*v. Suppose 37 = v*n - 67. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-81*n + 403*n - 54*n)*(-3 + 0 + 1 + 1 - 1 + 2 + (0 + 0 + 1)*(0 + 0 - 1) - 2 + 1 - 1 - 2 + 2 - 1) to the form y + b*n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -45. Suppose 33 + 31 = 3*r + 2*h, r - z = -h. What is the units digit of (45\/r)\/(3\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 31 + 63 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 1. Let u(n) = n. Suppose 4*a - c + 6 = 0, -4*a + 2*c = 4*c. Let z(v) = a*u(v) + 2*w(v). What is z(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 406\/(-58)*(-1)\/(-3)*(-2)\/(-14)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -3\/2*m**2 - 9\/10*m**6 - 11\/2*m**4 + 0 + 18\/5*m**5 + 2*m + 4*m**3. Factor c(p).\nAnswer: -3*(p - 1)**2*(3*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 1471 + 949. Suppose 0*k + 3*a = -k + 126, 2*k + 4*a = y. What are the prime factors of k?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 20*v = -36. Let g be 104\/v + 20\/90. Suppose y + 5 = 0, y = -2*d - g + 21. Calculate the remainder when 69 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1996\/20517 + 2\/977. Let v be (-2)\/(-12)*6 + (-5 - -1). Let q = 2.9 + -3. Which is the nearest to q? (a) -1 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/18, -1592, -7, -5.4 in increasing order.\nAnswer: -1592, -7, -5.4, -1\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 8) to base 4\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**3 - 2*v**3 + 15*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23440 - -23445. Solve q*n + 5 = -2*w, 4*n + 17*w + 21 = 12*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*c + 34, -4*h = 2*c - 5*h + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.5. Let v = -0.06 - -0.36. Let d = v - 0.4. Sort 4, u, d in decreasing order.\nAnswer: 4, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2 + 108*t - 38. Calculate k(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and -0.01?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.07 (b) 33 (c) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a. Let c(j) be the second derivative of 0 + 125*j + 0*j**2 + 19\/6*j**3. Calculate d(c(k)).\nAnswer: 57*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1232475359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 66. What is the remainder when w is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 7)*(z + 0*z - 5*z)*(-1 + 1 + 2).\nAnswer: 40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320117.\nAnswer: 7, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50410761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -36*-0.03\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/201)\/(0 + 8\/(-18)). Let v = 4603\/3886 - k. Calculate the common denominator of (-13)\/(-4)*(-8 - -11) and v.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885435 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 211*t - 603. What is j(2)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 + 115. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 407271.3 tonnes to milligrams.\nAnswer: 407271300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10001110001011111?\nAnswer: 10001110001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9938 - 2. Round h to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 29 = 6*c - c, -5*c + 36 = 3*f. Let k be ((-2)\/4 - -1)*0. Suppose -n + k = -f. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -15*n - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20107 is divided by 4011?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 24 = 5*f - 3*z, z - 3 = -2*f. Let c(u) = 3*u - f*u + 2*u. Let h(n) = -6*n**2 + 2*n**2 + 0*n**2. Determine h(c(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119 + -149 + -55 - -31?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 1, u: 4, v: 1, e: 5, h: 3}. Give prob of sequence uve.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.318074 nanograms?\nAnswer: 0.000000000000008318074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0637*5388.\nAnswer: -343.2156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((575\/(-23))\/(-525)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 greater than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*f**3*r**3 + 33*f**3*r**2 + 255*f*r + 318211*r**5 + 87*r**2 wrt r.\nAnswer: -90*f**3 + 19092660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/((g*(g\/g**(-4\/9)*g)\/g)\/g)*g)\/(g\/(g\/g**(-2\/5)))*(g**(-1\/2))**(-2\/147))**(-2\/19) assuming g is positive.\nAnswer: g**(-8654\/41895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 132700179 to the power of 1\/3, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.228845nm in meters?\nAnswer: 0.000000005228845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147373754 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllnnnlnllnnnlnn. What is prob of sequence llnn?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(24)*2)\/(sqrt(24)\/(4*sqrt(3) + sqrt(3))).\nAnswer: -40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 158\/35 + -19\/5. Which is the second smallest value? (a) g (b) 5 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p - 4*p - 3*p + p + 6. Determine g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 1. Let k be s(-6). Let m(a) be the second derivative of a**5\/20 + 5*a**4\/12 - a**3\/6 + a**2\/2 + 7*a. Let p be m(k). Solve 2*v + p = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*k + 2*k - 21 = 0, 0 = 3*p - 5*k - 27. Let v(y) = 17 + p*y - 6*y + 4*y - 18. Let r(z) = -z**2 + 4*z + 4. Let m be r(-1). Calculate v(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 13965128?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/10880 and 41\/71944.\nAnswer: 5755520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312 (base 4) to base 15.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10795 and 1955?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320))**2*1.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/215, -12, 3, 175, -4 in decreasing order.\nAnswer: 175, 3, -6\/215, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/207105 and -103\/450.\nAnswer: 6213150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**5 - 3*g**3 - 3*g**2. Let o(z) = -3*z**5 + 5*z**3 + 5*z**2 + z. Let s(p) = -5*j(p) - 3*o(p). Find the second derivative of s(t) wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i + 45 = 0. Calculate the remainder when i is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -897*x + 35877. Give u(40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x = -40*x + 3*z - 4, -4*x = -5*z - 4. Is x at most as big as 671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + 0. Let t = 0 - k. Let n be (-26)\/(-30) - ((-14)\/6 + 3). Which is the third smallest value? (a) n (b) 1\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 z, and 2 k when four letters picked without replacement from dddxrdkkzxdzgxx?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 117. Let x be z(-73). What is the greatest common factor of x and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itv when three letters picked without replacement from {v: 2, i: 1, t: 2, h: 3, a: 2, w: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -69 (base 11) to base 5\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 200 and 200 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*c + 38, 4*l + l + 70 = -5*c. Suppose 0 = 1067*a - 219*a - 1794 + 98. Sort a, -3, l, 1.\nAnswer: l, -3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 5. Let l be j(3). Suppose 0 = l*f - 62 - 18. What is the lowest common multiple of 6 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgzppnzppnn. Give prob of sequence pz.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 16345595*c**2. Let y(p) = 2*p. Give z(y(t)).\nAnswer: 65382380*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*k + 2 - 1 - 2)*(7 - 40 - 8) + (2*k - k + 0*k)*(-3 - 3 + 4).\nAnswer: 531*k + 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - 12)*(-959)\/(-13426).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 2*r + 3. Suppose -2 + 6 = 4*m. Let q(s) = s**2 + 3*s - 3. Let f(k) = k**3 - k**2 - 1. Let o(z) = m*q(z) + f(z). Give 4*o(c) + 6*u(c).\nAnswer: -2*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 84901199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322 + 922 = 60*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*j**4 + 89*j**3 + 52*j**2 + 20149042*j wrt j?\nAnswer: 828*j**2 + 534*j + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 36245649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z**3 + 1311*z**2 - 16*z**3 - 1329*z**2)*(2*z - 2*z - 2*z).\nAnswer: 16*z**4 + 36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, 94, 358, 876, 1732, 3010, 4794, 7168?\n\"Answer: 14*k**3 + k**2 - 7*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (15 + -16)*79*-2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 10*c**2 - 45*c - 487. Let d be r(-8). Are d and 1\/2251 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 6. Give s(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 2. Let w be t(2). Suppose 100 = -0*i + w*i. Let y = i - 12. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/163? (a) -10 (b) 1 (c) -5\/7 (d) -0.5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 g when three letters picked without replacement from rtutturrtgrgtrg.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -13e9?\nAnswer: 13e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Let t = 5 - f. Let q(k) = k - t*k + k. Let c(x) = 5*x. Calculate c(q(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 3*y + 11, 1 = -n + 3*y - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 23 = 4*f - 8*l, -4*f - 5*l - 7 = 0. Suppose -f*k + 56 = -36. Let b(q) = 8*q. Calculate the remainder when k is divided by b(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220233, -221161, -222079, -222981, -223861, -224713, -225531, -226309?\nAnswer: -227041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(i + 2*i - 2*i)*(-7*i - 51*i + 10*i) + (-3*i**2 + i**2 + 3*i**2)*(-5 - 1 + 5).\nAnswer: -97*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + z**2 + 4*z**2 + 0*z**2 - 9 - 4*z. Let w be (200\/(-15))\/8*-3. Is b(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + w + 24 - 35 - 38.\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225386 by 6.\nAnswer: -112693\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from qtdkkpp?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 3\/16, -2, -819?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33642531 + 33642531 + 8*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106341.\nAnswer: 3, 35447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 5*c + 4. Let v = -205 - -200. Let y be x(v). Solve -3*s = 4*k - 22 + 4, y = 2*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 613218 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: Suppose 0 = 2*k - 5*x + 15, 12 = 3*k + 5*x - 28. Let n be (-3)\/(-2)*8\/6. Solve 2*p + n*p - 5*v + 10 = 0, -17 = k*p - 4*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 33, -1, -3 in ascending order.\nAnswer: -22, -3, -1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -4 (c) 32 (d) -0.497\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {h: 2, g: 7, z: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 at least as big as 216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2. Let t(p) = -p + 8. Let a = 16 - 9. Let l be t(a). Let q(s) = 1. Let f(c) = -2*c + 3. Let z(v) = l*f(v) - 3*q(v). Give z(b(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from wkszjqw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-384.\nAnswer: -7.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 12:00 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:18 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 p when three letters picked without replacement from elktlpckl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (81\/2)\/((-21)\/(-56)). Suppose -7*i + 179 = -m. Suppose -4*d - 4*r + i = -51, r - 4 = 0. What is the greatest common divisor of d and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2138*b**2*h**2*u - 11*b*h**2*u + 93*b*h*u - 2*b*h wrt b?\nAnswer: 4276*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162844846.\nAnswer: 2, 81422423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (263 + 39*a - 18*a - 22*a)*(20 - 8 + 4 + (3 + 2 - 4)*(1 + 2 - 1)) to p + l*a and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 6. Let g = -4 - -3.4. Let a = -0.2 - g. What is the smallest value in s, 4, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0*i**5 - 1\/6*i**4 + 0 + 0*i**6 - 21*i**2 + 0*i + 0*i**3 + 1\/21*i**7. Find the second derivative of w(s) wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 180350 and 2293.\nAnswer: 413542550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.3 + -6. Let q = 34 + -33.93. Let z = 1\/34 + 8\/17. Which is the closest to z? (a) q (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/747658 and 43\/1556?\nAnswer: 1495316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -8*p + 7*p. Put 2, p, 4 in descending order.\nAnswer: 4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7937, 7936, 7935, 7934, 7933, 7932?\nAnswer: 7931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.07, -0.1, -4, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5 + 36\/5*d - 27\/5*d**2.\nAnswer: -3*(3*d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(730 - 1466 + 736 - 124*f).\nAnswer: 248*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10420 - -10421. Let h(b) = -67*b - 4. Let s(x) = -67*x - 3. Let t(k) = -3*h(k) + 2*s(k). Does 29 divide t(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 34*w = 38*w + 30, -6 = -3*w. Suppose -c*h + h = -h. Let g be (-11)\/(-14) + 3\/(-6). What is the nearest to -1\/4 in h, 5, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**5\/20 - k**4\/3 - 6*k + 11. Let v(a) be the first derivative of p(a). What is the third derivative of v(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 - 2*m + 1. Determine k(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/5, -1\/13, -5, 1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*x**5 + 29*x - 94.\nAnswer: 1520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -0.1, 9, 3078.93?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1624)\/(-30) - (-1)\/5. Let n = f - 55. Which is the third biggest value? (a) -2\/15 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -540 + 1101. Is 33 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.386 and 1.018.\nAnswer: 0.392948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/25*(349\/(-118) - -3). Is y less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 18*i + 68 = 0. Solve -z = 1, -12 - 7 = 3*u + i*z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6*i + 13*i - 4)*(-26*i + 27*i - 54*i)*(-3 - 3 + 4) to u + p*i + m*i**2 and give m.\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000031134 rounded to seven dps?\nAnswer: -0.0000311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -27. Suppose 0 = r - 2*n - 33, 2*r - k - 30 = 2*n. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 118 = 3*n. Suppose 8 = 4*h, -4*j + 2*h - 91 = 165. Let l = j + n. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 32*n**2 - 2 - 6*n**2 - 1 in the form o*n**2 + i*n + j and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131.688 + -132. Let q = n - -0.161. Round q to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 737077079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79779 and 11777031.\nAnswer: 2751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11499810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**6\/120 - 11*f**5\/60 - 19*f**4\/24 + 2*f**3\/3 + 2100*f**2. Calculate q(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.748688 to three decimal places.\nAnswer: 0.749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 9*p - 9. Let u be f(-7). Suppose y + 3*y + 5*s = 76, u*s + 20 = 0. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 11, 44, 99, 182, 299?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2476945 plus 0.12?\nAnswer: -2476944.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -251.084 + 245.4. What is i rounded to 1 dp?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - d - 751, -7*d + 3*d = 2*y - 296. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-231))\/(-1) - 86\/(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 210*l**2 - 585*l.\nAnswer: -5*l*(l + 3)*(l + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -68, -5, -17\/3, 7, 1\/2, -4?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -219, -501, -897, -1407, -2031, -2769?\nAnswer: -3621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from {l: 7, a: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*r**3 + 27*r - 27*r + 40*r**3 - 32.\nAnswer: -2*r**3 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 2*t**5 - t**2)*(-4 - 4 + 5) - 2*t**5 + 2*t**5 + t**5 + 4*t**4 - 4*t**4 - t**5.\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312999 and 303.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - 2*g - 6*g**3 - g**3 + 2*g**3 - 3*g**2 + 3*g**2 + (g - 6*g - g)*(-g**2 + g - g).\nAnswer: 2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4798 + 3092 + 488 = s. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/26845 and -26\/8295.\nAnswer: 6362265","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 16780 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: Collect the terms in 347*o + 253*o - 598*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/9 - 153482*d\/9 - 306940\/3 = 0.\nAnswer: -76735, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3846 and 651.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 3*f - 5*f)*(-2*f + 3*f + f) + 1211 - 7085*f**2 - 1211.\nAnswer: -7087*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-22)*(-200354)\/(-7806).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15331 + 31365\/2. Let v = q - 351. Factor -v*k - 1\/4 - 1\/4*k**2.\nAnswer: -(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 217 (b) -12 (c) -4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -29. What is the smallest common multiple of n and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - ((sqrt(110) + -6*(-2*sqrt(110) - sqrt(110)) - sqrt(110) - sqrt(110)) + sqrt(110))) + sqrt(110))\/(sqrt(360) - sqrt(360)*2))**2.\nAnswer: 704\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 426659784 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 1 = 7*i. Let x be (-183)\/i - (-6)\/9*-3. Let v = x - 50. Calculate the highest common divisor of 99 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -318*w**5 - 7783*w**4 - 3*w**2 + 938409*w?\nAnswer: -19080*w**2 - 186792*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**2 - 5*r**5 + 8*r**5 + 11*r**2 wrt r?\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q + 6. Let k(a) = -a + 1. Let n be 4*(-3)\/(-18)*-3. Let l be n*(2\/(-4) - 2). Let m(f) = l*k(f) - b(f). What is m(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 - (-27)\/(-21). Let d be c\/((5 + -1)\/(-980)). Suppose -4*u = -5*b + d, 3*u + 245 = 4*b + b. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 - 18. Let u = -49 - o. Is 24 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**6\/360 + g**5\/30 + 29*g**4\/12 + 13*g. Let x(v) be the third derivative of a(v). Give x(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*u + 9847 = 34*u + 2669 - 16726 for u.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 104*p**2 + 36*p - 37. Let v be b(1). Let d = v + -99. Solve d*m = -5*x - 5 - 21, 4*m - 2*x + 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 - 228*n**2 - 223*n + 122. Determine l(-75).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = -5*h. Let n(k) = k + 5. Let x be n(0). Let a(r) = h - r - 3*r + x*r. Determine a(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 0.5, -8, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -220911328 at least as big as -220911330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1881 and 770697?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 233 - 232.99999. What is l rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (19 - 21) + ((-31)\/(-11) - 1). Which is the closest to 0.2? (a) -2 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 b, and 1 e when three letters picked without replacement from ekkeekkbebkee.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*y + 2*y - 72*y)*(4 + 6 - 4) - 21 - 4*y + 21 as l*y + h and give l.\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1440 and 519564.\nAnswer: 62347680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -4836 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20*-21\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j**2 + 13*j**2 - 96 + 2*j**3 - 2*j - 10*j**2 + 94 to the form f*j + p*j**3 + g + d*j**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 1 = 2*x + 5, 3*x = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 8. Let w be x(12). Put w, -3, -6 in decreasing order.\nAnswer: w, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2260716 is divided by 226070.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + c - 1. Let o(k) = 2*k**3 - 2*k**2 + 4*k - 4. What is 4*b(i) - o(i)?\nAnswer: 2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -1281.\nAnswer: -1281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 97759, 97762, 97765, 97768?\n\"Answer: 3*j + 97756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4 + 24*n**3 - 84*n**2 + 40*n + 150 = 0. What is n?\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/342930 and -97\/39192.\nAnswer: 1371720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28682.295 months to years.\nAnswer: 2390.19125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-2628)\/45) + (-96)\/(-160)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 1051\/308 - 34\/11. Calculate the common denominator of z and 43\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * 107.208.\nAnswer: -11.79288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.206166 - -19.4?\nAnswer: 19.606166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -409940299?\nAnswer: -409940299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-6)\/j))\/j*j**(3\/8))\/(j**9\/((j\/((j**(-3)*j)\/j))\/j)) assuming j is positive.\nAnswer: j**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 3*t**3 + t**3)*(12 + 20 - 6 - 3*t).\nAnswer: -3*t**4 + 26*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x - 2*x + 130. What is the highest common divisor of x and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7.93 and -1516.24.\nAnswer: -1508.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18807563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + -1*sqrt(170)*6 + (sqrt(170)*1 - sqrt(170))*-1)\/((sqrt(1280)*2)\/(sqrt(24)\/(sqrt(12) + (sqrt(12) - sqrt(300))))).\nAnswer: 5*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 694415 > 694415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-1425))\/((-2)\/10). Suppose 1232*o = -358*o - 1590. Which is smaller: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -5) + -3 + -1 + (-12 - -18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 3*k**5\/80 - 9*k**4\/16 + 3*k**3\/4 + 6*k**2 - 5*k. Factor f(d).\nAnswer: 3*(d - 8)*(d - 2)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 8*v**3 - v**3 + 3*v.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 5?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from zzzzddddzdzdzddd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 18*y**2 + 6*y + 5. Give x(-18).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8411*o + 4269*o - 3 + 4217*o as r*o + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 1. Suppose 3*r - 9 = 0, -a + 8*r - 16 = 3*r. Let t(q) = -76*q + 95. What is a*t(h) - 95*u(h)?\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {s: 8, w: 1, o: 2, e: 1, j: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 27663*l**2 + 34*l - 30. What are the prime factors of v(1)?\nAnswer: 73, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 e, 1 z, and 1 q when four letters picked without replacement from {q: 1, z: 3, e: 1, b: 2, g: 3, l: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -322 - -41?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 295, -179, -639, -1079, -1493, -1875?\n\"Answer: f**3 + f**2 - 484*f + 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (245\/7)\/(-5)*19\/(456\/(-9))?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3\/4 - 22*b**2 - 789*b\/4 - 351\/2 = 0. What is b?\nAnswer: -78, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4 = -4*i, -66543*g + 66547*g - 68*i = 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22793458 divided by 19106.\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1980 and 797460.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjs when three letters picked without replacement from {l: 7, j: 7, h: 1, s: 2, k: 1}?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -211937*y + 211937*y - 5*y**2 + 266*y**3 in the form v*y**3 + g + m*y**2 + t*y and give v.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x**5\/3 - 152*x**4\/3 - 542*x**3\/3 + 2488*x**2\/3 - 1442*x\/3 - 392\/3 = 0. Calculate x.\nAnswer: -4, -1\/5, 1, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2. Let x(k) = 4*k**2 - 2*k - 7. Let r be x(-2). Let i(v) = 17*v**2 - 17 + 30 - r. Calculate i(f(z)).\nAnswer: 17*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-115)*20\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*j = 0, p + 0*j + 4*j + 15 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -19837?\nAnswer: -257881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5776*n**3 + 7527040*n**2 + 1188372*n + 46908.\nAnswer: 4*(n + 1303)*(38*n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -958 = -246*y + 3470 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1615 - 1616. Suppose 0 = -2*p - 0*p - 6. Let s = p - -7. Which is the second smallest value? (a) 3 (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 31*i**2 + 3*i - 5. Let n be ((-21)\/105 - (-4)\/(-30))*0. What is c(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 - -9 - (-3 - 3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**2 - 3*d + 4*d + 0*d - 3. Is r(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**2 - o - 457. Let z(w) = 10*w**2 - w - 456. Give -4*j(x) + 3*z(x).\nAnswer: 2*x**2 + x + 460","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 6*l - 4. Let s be a(-6). Suppose -o + 6 = 2*x, 0*o + 5*o - 24 = -4*x. Sort x, s, -3.\nAnswer: s, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/8 of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*((d\/(((d**(-4\/11)\/d*d*d)\/d)\/d))\/d)\/d*d*d**(-8\/9)*d**(-6\/17)*d**(2\/83) assuming d is positive.\nAnswer: d**(160070\/139689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = 5*u - 5*j, 0 = -1896*u + 1899*u + 4*j - 101 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -6 (b) 0.4 (c) 254 (d) -5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/1926 and 4\/10773?\nAnswer: 2305422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 38*d**2 + 6*d + 2. Let a = -23 - -52. Suppose 4*c + a - 25 = 0. What is the remainder when 169 is divided by z(c)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*r + 0)*(34 + 15 - 72 + 3 - 5 + 1 + (-2 + 4 + 0)*(-2 + 1 + 3)).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82925 and 1372275.\nAnswer: 42540525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/11)\/n**(-3\/4)*(n**4\/n)\/(n*n\/((n*n**(-1\/5)*n)\/n*n)*n))**31 assuming n is positive.\nAnswer: n**(18631\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3*71\/(-284).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 11*j - 15*j + 43 = 0, -5*j - 25 = 0. Solve x = 3*c + 4*n, c - 4*n + 15 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - 14) + (-9 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -12. Suppose i - 3*z - 19 = 0, 4*i - 2*z = -z + 21. Suppose -4 = -i*y - 2*d, -4*y + l*d - 24 = -d. Sort -3, 5, y in ascending order.\nAnswer: -3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95072 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1136*-644.\nAnswer: -731584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -108 (b) 1\/4 (c) 5 (d) 168 (e) 1 (f) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 4*j**3 + 2*j**2 + 2*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.018 - 0.086. Let r = -4.104 - d. What is the biggest value in 0.1, r, -0.9, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66688\/3519 + -322\/17. Let z = 140\/207 - w. What is the nearest to 0.1 in -5\/3, z, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32 - -4)\/7 - -1484?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g - 11. Suppose 50 - 8 = -6*n. What are the prime factors of f(n)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 4*s - 2. Let r be 198\/(4\/16*6). Suppose -f - r = 43*f. Give x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4459835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 95775 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/5 + 1074*b**3\/5 + 18342*b**2 + 896318*b\/5 + 286884 = 0 for b.\nAnswer: -65, -9, -2, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2)*h*h**2*h*h*h**(-2)*h**6\/h assuming h is positive.\nAnswer: h**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -109*f. Suppose -5*s - 4 = -v, 2*v - s = s + 32. Let q(x) = 10*x + v*x - 28*x. Give q(a(o)).\nAnswer: -109*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**3 - 6*w**2 - 2. Let o(q) = -7*q**3 - 13*q**2 - 4. Let u(m) = -6*o(m) + 13*y(m). What is the first derivative of u(x) wrt x?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1220 and 610?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 817 - 772. What is the smallest common multiple of 1605 and o?\nAnswer: 4815","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/3)\/(8\/984). Let i(t) = t**3 - 31*t**2. Let f be i(31). Suppose f*j - g = -4*j + b, -j + 47 = 4*b. Calculate the greatest common divisor of 34 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 58\/3, -3\/5, -8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.048613 times 5155\nAnswer: -250.600015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(529\/(-69)))\/(3\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Let v = -0.09341 + 0.05341. Which is the closest to g? (a) 2\/11 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.44 + -16.24. What is o rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**2 + 18*v + 7. Let l(a) = -a**2 + 2*a + 1. Let u(t) = -18*l(t) + 2*z(t). Let q be u(0). Put 2, q, 7, 5 in decreasing order.\nAnswer: 7, 5, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 3\/2*i**3 - 21*i + 3*i**2 - 5\/6*i**4 + 1\/20*i**5 + 0. Let f(b) = -b**2 + 11*b + 9. Let d be f(11). Determine s(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/614 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -918+-0.3181\nAnswer: -918.3181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*s = o - 98, 56 = 3*o + 5*s. Calculate the highest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:35 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 65 - 3*f - 2*f + 12*f**2 - 53. Is x(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427721700 to the power of 1\/3, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 801, 1, -0.3, -0.2, 0.11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 460592*t + 677461 wrt t.\nAnswer: 460592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + n**3 + 1 + 3)*(2*n + 0 + 0)*(0 - 13 - 1).\nAnswer: -28*n**4 - 56*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, r: 1, f: 3, k: 1}. What is prob of picking 1 k, 1 s, and 1 f?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3*s + 96, 79 + 5 = -3*v - s. Let l = 33 + v. Suppose -t + 4*c - c + 88 = 0, l*t - 341 = c. List the prime factors of t.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57.06 + -57. Let v = -0.3 - -0.1. Do q and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -77.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 0 - (22 + -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*k + 6 + 13*k + 15*k + 0 to the form w + v*k and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (429\/52)\/(60\/24*5\/(-50)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 3585006.\nAnswer: 13\/3585006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8725 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*w - 19336 = -3424. Calculate the common denominator of 125\/162 and (w\/(-110) + -2)\/((-648)\/630).\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 594 divided by -76947\nAnswer: -198\/25649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 44. Let z be t(22). Suppose 7*d - 430 = 2*d - 4*p, z = 5*d + p - 445. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 50*i**2 - i + 11*i**2 - 80*i**2 + 10*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 0*n + 3*n)*(1 - 1 + 1)*(0 - 3 + 1) as q*n + l and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13 - 2 + 6 - 11 - 10*j. Let t be p(-17). Calculate the greatest common factor of 30 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -2*n**3\/3 + 2*n**2 + 9*n. Let w(k) be the first derivative of -k**2\/2 + k + 1. Give a(h) - 5*w(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/(-125) + (-2)\/4. Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/15)\/(-5)*18\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 6*l + 30. Let u be r(-10). Round u to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*f**2*y - 2108393*f**2 + 5234818*y - 13 with respect to f.\nAnswer: 66*f*y - 4216786*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-g**2 + 8 - 8) + (6 + 1 - 2*g - 11)*(4*g - 3*g + 0*g).\nAnswer: -4*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.444 - 0.044. Let t = j + -0.4. Let k = -7 + 6. Is t > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 smaller than -21851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -18*i**2 - i - 1. Let a be ((-6)\/(-15))\/((-10)\/(-25)). Let p(v) = -6*v - a - 14 + 2*v - 5*v - v**2. Let r be p(-7). Calculate j(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23309*i = 23376*i - 335. Solve i*j + 140*q = 138*q + 25, 0 = -3*j + 3*q + 36 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19080162?\nAnswer: 2, 3, 1060009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 72\/13 (c) 266.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-15 - -4) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - 39. Suppose 0 = 2*p - 6 - r. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(720))**2*-3.\nAnswer: -19467 + 648*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*j**4 - 50848748*j**2 + 238*j - 443425.\nAnswer: -84*j**2 - 101697496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)\/r)\/r**(-5)*(r**(1\/3))**41 assuming r is positive.\nAnswer: r**(271\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)\/(v**(-3\/5)\/v)*v*(v*v\/(v*v\/((v*(v\/v**16)\/v)\/v))*v*v*v)\/v*v**13\/v assuming v is positive.\nAnswer: v**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*b - 16*b - 6*b.\nAnswer: -107*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g. Let a(z) = 2*z**2 - 4. Determine a(i(j)).\nAnswer: 8*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/26 + 1460\/(-26). Let u = c + 81. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 1:14 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24312 is divided by 144.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34794 - 0?\nAnswer: -34794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2688 + 61836\/23. Which is greater: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 g when three letters picked without replacement from zxzbvzzvczgxcxv.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16377 or 32816?\nAnswer: -16377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 127*j**3 + 41*j**2 + 24*j - 77. Let o(b) = -85*b**3 - 27*b**2 - 15*b + 52. Let l(n) = 7*o(n) + 5*w(n). What is the second derivative of l(t) wrt t?\nAnswer: 240*t + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 139430 - 2?\nAnswer: 13942c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 28330 and 3.\nAnswer: 28333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 9*h**2 + 59*h - 517. What is v(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*n + 5*n + 11, 3*n = 3*l - 21. Let t(s) = 2 + s - 2. What is t(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -213 - -230.3. Let k = -17.294 + m. Round k to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 + 5*w**4 + 4*w**4)*(0 + 0 - 1) + 2*w**4 + w**4 - 2*w**4 - w**4 + 2*w**3 - 2*w**3 + (-4*w**2 + w**2 + w**2)*(w - w - w**2).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 488, 1009, 1568, 2177, 2848?\n\"Answer: 2*s**3 + 7*s**2 + 486*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3 + 1 + 0 + 3*g**3. Let i(l) = 5*l**3 + 8. Let f(w) = -2*i(w) + 5*v(w). Let j(y) = -4*y**3 - 3. Determine -5*f(x) - 6*j(x).\nAnswer: -x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(26)\/sqrt(2))**2)*-4 - (-5 + (0 + sqrt(325))**2)) + -2.\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**4 + 44409*p**3 + 797418*p**2.\nAnswer: 3*p**2*(p + 18)*(2*p + 14767)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.932 - -0.068. Let i = -105428.6 - -105460.60052. Let m = i - f. Round m to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -6904.18668759.\nAnswer: -6901.18668759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1375*j + 4131*j - 1376*j - 1379*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4.6, -4 in decreasing order.\nAnswer: 3, -4, -4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 460328975*c*s**3 - 1217909*s**3 - 22*s wrt c.\nAnswer: 460328975*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i**2 - 168*i + 8. Calculate f(-23).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 9*f**2 + f - 8. Let u be x(9). What is the remainder when 2 is divided by (-1 + 0)*(-1)\/u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p - 17. Let o be c(-5). Let m be (8*o\/2)\/(17 - 15). Let n = -2\/3 + 11\/12. What is the biggest value in n, m, -1, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*j**3*k + 2*j**3 - j**2*k - 14*j**2 - 232060*j*k wrt j.\nAnswer: 42*j*k + 12*j - 2*k - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q - 14 + 331*q + 14.\nAnswer: 339*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 12*w + 32. Let t be g(6). Let x = -53 + t. Calculate the greatest common factor of x and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 0, -9, -1, -2 in decreasing order.\nAnswer: 4, 2, 0, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) -1 (b) -0.05 (c) -0.01 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 4:15 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*v - v - 5*p, 0 = -v - 2*p - 5. Let q be (-8)\/(-6) - (3 + -2). Is v > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*s = 23, 1 + 7 = 4*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 4*a - 2. Suppose -8*q + 6*q = 5*t - 14, 2*q - 3*t + 2 = 0. Let z(u) = u**3 - 6*u**2 - 13*u + 7. Calculate q*z(h) + 7*w(h).\nAnswer: 2*h**3 + 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2. Let l(q) = -330861*q. Give s(l(b)).\nAnswer: 218938002642*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(2*j + 9 - 7 - 1).\nAnswer: -6*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -112*p - 70. Let n be v(-6). Let s = n + -599. Let k be 7*(0 - (-1 - 0)). Solve -s*i - k + 19 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and (12 - 23)*1*-1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z - 1 + 2*z**2 + 2*z**3 + 4*z + 3*z**4 - 4*z**4 to the form p*z + y*z**2 + x*z**4 + r + w*z**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -27, -21, 7, 63, 153, 283?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 25, 60, 109?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 6*g**2 + 4*g**2. Let b(l) = -9*l. Give c(b(w)).\nAnswer: -81*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/36)\/2)\/(3\/(-27)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-26)*-2*(-10)\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 2*t = -0*t + 25, 5219*z - 5222*z = -3*t + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 10*n + 18 - 71. Suppose -3*c - 16 = -5*g, -3*c = g - 3 - 11. Solve c*i = -v + 10, 0*v - i + n = 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**5\/35 + l**4\/14 - l**3\/7 - 4*l**2\/7 - 4*l\/7 + 134. What is j in q(j) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 4*a + 3*a + 0 + a + 0 + (-2 + 6 - 2)*(a + 3 - 3) - 1 + 1 + a)*(-265 + 629 - 275).\nAnswer: 445*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -16*p - 13. Calculate f(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43930459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n*s**2*w - 4*n*s**2 - n*s*w + 2*n*w + o*s**2*w + 31*o*s**2 - 33*o*s + 4*s wrt s.\nAnswer: 4*n*w - 8*n + 2*o*w + 62*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 6) to base 14\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -4. Suppose b = -5*s + 14 + 6. Let f(j) = j - s*j + 2*j + 4*j. Let k(z) = -2*z. Determine k(f(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/12)\/(115\/(-13248)*4).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**4 + 1\/2*r**2 - 1\/6*r**3 + 0 + 3*r. Determine g(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031749 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - m + 34. Let q = 0 + 0. Let a be u(q). Suppose 2*r - a = -o, -r + 3*r + 3*o = 30. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -49.2. Sort 3, 2, 2\/7, f in ascending order.\nAnswer: f, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4\/2 - 2295*h**3\/2 + 9641979*h**2\/2 - 4709940081*h\/2 = 0.\nAnswer: -2387, 0, 811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + 14*y + 7. Let d be s(10). Let o = d + 101. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 109807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-28101)\/58)\/51)\/((-2)\/(-12)). Which is the third smallest value? (a) -3 (b) 0.2 (c) t (d) -0.2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 0)*(0 + 0 + x)*(-19*x + 19*x + 10*x).\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 7:25 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222406 is divided by 1635.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is -1421 < -1432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332 = 8*d - 244 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2440050.\nAnswer: 2, 3, 5, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.2, 3\/11, -13?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (498\/(-664))\/(45\/(-6)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 6.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -0.03 (c) -3 (d) 4 (e) -4 (f) -0.3 (g) -53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -560, -1004, -1448, -1892, -2336, -2780?\nAnswer: -3224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 6, h: 1, a: 2, d: 2}. Give prob of sequence hu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143 + -227. Let v = 64 - i. Let j = 133.1 - v. Round j to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3\/4 + 318*d**2 + 81153*d\/4 + 16129\/2 = 0. Calculate d.\nAnswer: -127, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.739509 to 3 decimal places.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/11 and 28\/1705.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p*x**3 - 1203206*p*x**2 + 130*p*x + 2797*p - x**3 + x - 2 wrt x.\nAnswer: 12*p*x - 2406412*p - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1027.4 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645090309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*c - 52*c + 2*u = 20, -2*u - 7 = -c. Let r be 6 + 10 - c - (-54)\/(-10). Factor -r - 6\/5*i - 1\/5*i**2.\nAnswer: -(i + 2)*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21102 - 200200?\nAnswer: -102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = -18. Calculate the remainder when 17 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3197771832 to the nearest integer?\nAnswer: 56549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 4, 32\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.2 (b) 0 (c) -3 (d) -2\/63 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3791676 is divided by 71.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 169*j**3*s - 22*j**3 + 4*j*s + 568042*s wrt j?\nAnswer: 507*j**2*s - 66*j**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1243334, 2486664, 3729994, 4973324?\n\"Answer: 1243330*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 2. Let w be k(-1). Let s(x) = 2*x**2 + 4*x - 2. Let t be s(w). What is the greatest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 12 - (2 + 4 + -8 - 19).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -1\/9, -0.019, -5, 350.63 in descending order.\nAnswer: 350.63, 4, 0, -0.019, -1\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2534053 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 80771 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1)*(-5*j + 5*j + 2*j) + (-2*j + 0 + 0)*(-6 + 0 + 1).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -82) + -13 - 37?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 2*v + 25, 23314*m - 23311*m - 4*v + 35 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = 2*i - 0, i = 4*r + 21. Suppose 0 = 2*d - 3*d + y + 8, -4*d - y = -37. Calculate the remainder when d is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4815)\/(-3745))\/((-21)\/(-1127)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 135*m + 1112. What is the tens digit of p(40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**7\/3780 - x**6\/216 - x**5\/30 + x**4\/2 - 11*x**2. Let c(t) be the second derivative of g(t). Solve c(v) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**7\/945 + 11*g**6\/270 - 121*g**5\/270 - 26*g**2. Suppose q(x) = 0. What is x?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 6:54 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + 2. Let o be q(4). Differentiate 0*a + 2*a + o - 12 with respect to a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 minus -396?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, v: 3}. What is prob of sequence svs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x - 1. What is o(-5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 17*v**2 - 26*v - 12. Let b(o) = 2*o - 18. Let j be b(19). What is the tens digit of q(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -4 - (1 + 10 - (-20 - -37))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -6*q + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3411325, 6822642, 10233955, 13645264, 17056569, 20467870?\n\"Answer: -2*y**2 + 3411323*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**5\/120 + p**4\/8 + p**3\/3 - 2*p. Let z(i) be the second derivative of t(i). Let w be z(-5). Sort w, 2, -4.\nAnswer: -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0 + 45 = 0. Suppose -21 - t = 6*q. Put 0, 5, q, -9 in descending order.\nAnswer: 5, 0, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 12*z - 1. Let g be w(-12). Let r be (g\/3)\/(2\/(-18)). Suppose -6*q - 20400000 = -r*q. What is q rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-10))\/((-292)\/438))\/(9\/(-15))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 9, 2 in descending order.\nAnswer: 12, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 1338536*d + 1338536*d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 (base 10) in base 16?\nAnswer: bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5*a - 5, 4*z - 2*a = -23 - 23. Let d be (-4)\/z + 1988\/355. Solve 4 = -c + d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 9) to base 12\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - n + 41 = 0, -2*x + 56 = 523*n - 516*n. Which is the closest to -7? (a) x (b) 0.5 (c) -0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1151\/819 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*u - 1934 = 0, -d + 0*u + 968 = 2*u. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 686, 673, 654, 629, 598?\n\"Answer: -3*i**2 - 4*i + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1969403.\nAnswer: 1969403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-7)\/280)\/(234\/(-65650)).\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.4 - 11. Let x = 0.6 + q. Which is the nearest to 1? (a) -2\/7 (b) 2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-9 - -18) - (14 + -17 + 58)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 99, 0, 2.\nAnswer: 0, 1, 2, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 + -3 + 1 + 1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2375 divide 12799431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f**5\/7 - 32*f**4\/7 + 104*f**3 + 740*f**2\/7 - 6950*f\/7 + 1500\/7 = 0.\nAnswer: -5, 2\/9, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 - (3 - 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -3\/32 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 8. Let j(p) = -p - t - 3*p**2 + 4*p + 4*p**2 - 2*p. What is j(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r = -65*r + 57295. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -234 - -242. Calculate the greatest common factor of f and 224.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3509 is divided by 738?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515 a factor of 683265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*p + 14. Solve 5*t - 3*v + 4 = 0, -v + p = -t - 0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29, 52, 75, 98, 121, 144?\n\"Answer: 23*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*v + 129 = -4, q - 3*v = 66. What is the greatest common divisor of q and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21065)\/(-22)*(-24)\/(-15). Let t = w + -944. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i = 45*i - 2*y + 530, 5*i + y = 673. Calculate the greatest common factor of 323 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-9 + 1 + (-58 - -54))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 2*q - q)*(-3 - 1 + 2) - 2 + 5*q - 4*q - 2*q in the form r*q + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) + 1\/(-3). Let u be 25\/350*-35*((-104)\/20 + 4). Solve l = -u*n + 4*n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261.91903 rounded to one dp?\nAnswer: -261.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 20 - 30 = 0. Let h(g) be the third derivative of 3\/2*g**3 + 6*g**2 + 0*g + 0 - 1\/4*g**4 + 1\/60*g**k. Factor h(v).\nAnswer: (v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = 5*q - 2*a, -4*q = -a - 3. Let r be 3 - ((-3 - 1)\/(-2) - q). What is the first derivative of -3*v**3 + 0*v**r - 4*v**3 + 16 wrt v?\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104818740?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266 (base 7) to base 15.\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 660, 1629, 2968, 4665, 6708?\nAnswer: 9085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7200 and 1280?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -43*r**2 + 6*r + 3. Let f(c) = -121*c**2 + 16*c + 8. Let v(b) = -3*f(b) + 8*i(b). Let j(z) = 5*z**2. Determine -9*j(q) + 2*v(q).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-5))\/(-9 - -8) - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - sqrt(192)*-1*2 - ((sqrt(192) - (1 + sqrt(192) + sqrt(192)) - sqrt(192)) + -1))**2*-4 + -1.\nAnswer: -19217 - 640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 12) to base 9\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8268 or 141.16?\nAnswer: 141.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**3 - 162158*p**2 + 3332391680*p - 1837698637824 = 0.\nAnswer: 567, 40256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 804918964 to the nearest integer?\nAnswer: 28371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 + 0*c**4 + c**4 + (3*c - c - 3*c)*(-28*c**2 + 21*c**2 + 19*c**2)*(-3*c + 5*c - 3*c) - 6*c - 4*c**4 + 6*c.\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 63*r + 0*r**2 - 19\/6*r**4 - 1 + 61\/6*r**3 - 1\/20*r**5. Find the second derivative of v(b) wrt b.\nAnswer: -6*b - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11021173 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2112524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 130*y - 154. What is the tens digit of s(24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p + 2. Let k = -13 + 16. Suppose 5*t - 20 = k*c, -3*c + 5*t - 25 = c. What is the tens digit of v(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 17*h + 84.\nAnswer: -(h - 4)*(h + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -2 + -1 + 4. Suppose 0 = 5*l - 3*t - 12, -2 = -5*t + a. Suppose 2*g + 12 = 2*f, -2*g + 4*g - l = -f. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 200.0502 + -200. What is h rounded to three decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*u + 3*y + 136, -2*y - 52 = -2*u. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 < 278828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (25\/(-20))\/(1\/4). Let x = 0.10161 + -0.20161. Which is the third biggest value? (a) x (b) w (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11032202 (base 4) to base 10\nAnswer: 21410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2. Let l(a) = -9*a**3 - 3*a**2 - 4*a - 2. Let t be l(-2). Let n be (18\/8)\/(-3) - t\/(-24). Let w(i) = 8*i**2 - n*i**2 + 0*i**2. Give w(v(r)).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 18. Solve k + 0 = u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100 - 1?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*t + 3*t - 48 = 0, 5*d - 4*t + 85 = 0. Let k be (-4)\/16 - d\/4. What is the third derivative of -q**2 - k*q**3 + 4*q**3 - q**2 wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26182\/1140 - (-12)\/(-40)) + (-6)\/3.\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 629*1184\nAnswer: 744736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-28)*(-816)\/(-2448)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13181 is divided by 1317?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-81)*((-2)\/30)\/((-12)\/(-54))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t - 52 + 322. What is the greatest common divisor of t and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -8. Let v(b) = -2*b - 13. Let k be v(-8). Suppose k*c + 8 = -d + 29, 5*c = d + 11. What is the greatest common divisor of d and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:30 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3678 + 3745. Calculate the highest common factor of p and 10921.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.7 + -0.7. Let f = -1.4035 - -0.4035. Which is the smallest value? (a) 12 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-20) - (6 - 28\/40). Put y, 0, 0.4, 6, -0.4 in ascending order.\nAnswer: y, -0.4, 0, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 4216528.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1704*o**2 + 852*o**2 + 847*o**2 + 33*o in the form p*o**2 + k*o + x and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -3*q - 21, 58*q = 4*z + 60*q + 24 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -25*b**2 + 69474*b + 2. Let y(h) = -h**2. Calculate a(y(v)).\nAnswer: -25*v**4 - 69474*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5 of a litre in millilitres?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 47*x + 47*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)*j)\/(j*j**(-2\/15)))\/(j**(-2\/29)*j**(-1\/7)) assuming j is positive.\nAnswer: j**(-11129\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 1.159, 5 in increasing order.\nAnswer: -2\/11, 1.159, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 5*g + 0*g)*(3 + 0 - 12) - 16 + 16 - 25*g as i + h*g and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - 3191?\nAnswer: -3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.803 + -0.003. Let g = -18.09 + i. Round g to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*h + 222*h = -21 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d7b2 - 3e5?\nAnswer: -dba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-16)*-1*148 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2 - 2)*((-15 - 6 + 31)*(1 + 2 - 2) + 3 - 5 + 1) + 0*q + 2*q - q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndnqcdcg. Give prob of sequence gd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*c**2*k + 3*c**2 + 1869*c*k - 2*k + 5875 wrt c?\nAnswer: -14*c*k + 6*c + 1869*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 10*t + 14. Let k be z(-11). Let p be 1\/1 - (2 + -4). Find q such that 0*q**3 + 2*q**2 + 1 + 2*q**3 - p*q + q**5 + 0*q**3 - k*q**4 + 0 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -250224 and -0.1.\nAnswer: -250224.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32946)\/(-3230))\/((-170)\/(-700))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -402 divided by 18547\nAnswer: -402\/18547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3892\/(-16680) - 1*2\/(-20). What is the second biggest value in 4504, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/21)\/j**(-8))**23*((j\/(j\/j**(-2\/17)))\/j**(-1\/10))**(-43) assuming j is positive.\nAnswer: j**(667409\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*q + 4*q. Let w be ((-24)\/8)\/(q\/2). Find the third derivative of -c**3 - 2*c**2 - 3*c**2 + 3*c**w wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 47*c**2 - c**2 - 35*c**2 - 11*c**2 - 5*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 1 - 1. Is h*(0 + (-21)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.956736 rounded to 2 decimal places?\nAnswer: 5.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16366 and 187229?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 - 2.3. Let o = 11 - 15. Let u = 1 + o. What is the nearest to -1 in u, 1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -5, -4, -1\/4, 16927?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*h = -13, 5*h - 16 = l - 3*l. Suppose -3*d = 2*d - 25. Suppose 5*m - d*c = 13 + 67, 34 = 2*m - l*c. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-3 - (3 - 7)). Let r be (-7 + y)\/3*-3. Solve -3*p = -4*k + 12, 0*k + 4*p - r = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*a + 0 + 60*a + 0 + 2*a**2 - 104*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127889300 is divided by 3653980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7244 + -7217. Solve -w = -3*r - 21 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 5*a**2 + 5*a. Let u(i) = i**3 - 2*i**2 - 2*i. Let g be (2 - 4\/1)*(-72)\/12. Suppose b + g = 10. Give b*c(w) - 5*u(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12309825 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(sqrt(153) + (sqrt(153) + 3 - sqrt(153)) - sqrt(153)))**2*-2 + 2.\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + sqrt(700) + (4*sqrt(700)*1 - sqrt(700)).\nAnswer: 1 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 26290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 213, 295, 411, 561, 745, 963?\nAnswer: 1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 87*f**3 + 6 + 2.\nAnswer: 87*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-4)*d\/((d\/d**(1\/4))\/d))\/(d\/(d\/(d*d*(d**(-4)\/d)\/d)*d)*(d*d**(1\/11))\/d) assuming d is positive.\nAnswer: d**(491\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b375c (base 15) to base 3.\nAnswer: 2111110201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 396847\/2820 + -3903\/47. Let q = c - 806\/15. Calculate the common denominator of q and 335\/(-100) - (-6)\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 3. Calculate l(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vri when three letters picked without replacement from irrv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.6868 rounded to 2 dps?\nAnswer: 20.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 6*n - n**2 + 1 + n. Suppose 0 = 9*u - u - 24. Suppose -u*w - 14 = -2*a, 10*w - 15*w + a - 21 = 0. What is c(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/4)\/((-269)\/(-1076)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 336.9 - 281.9. Which is the closest to 1? (a) -0.3 (b) -2\/19 (c) 1\/6 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.10085 to one dp.\nAnswer: 30.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {b: 1, g: 6, w: 6, f: 1, z: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -16.138. Let d = i + 0.048. Let f = d + -0.35. Round f to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q = 8*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -4. Suppose -2*j = 1 - v. Let u(f) = -f**2 + 36*f + 40. Let m be u(37). Sort -5, j, m in ascending order.\nAnswer: -5, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40374, -80613, -120756, -160755, -200562, -240129, -279408?\n\"Answer: 8*l**3 - 40295*l - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 1:46 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -c - 8, 5*c + 88 = 27093*t - 27096*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**2 - 10*s**2 - 24*s**3 - 87*s**3.\nAnswer: -111*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433630 - 278290 = -8090*g for g.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 16*k**2 + 63*k + 183. Let m be a(-12). Suppose -14\/3*t - 14\/3*t**2 + 2*t**m + 2 = 0. What is t?\nAnswer: -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/3)\/v**(-1)*v**(1\/8)\/v**0 assuming v is positive.\nAnswer: v**(43\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2)*6 - sqrt(7))**2*-4.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 15*g + 12. Suppose -4*u = -5*u - 14. Let i be a(u). Let o be -8 + (-12)\/8*i. Is -4 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 5*x**2 + 5. Suppose o - 3*l - l + 49 = 0, l = -3*o - 95. Let v be 1\/(2 - o\/(-15)). Let p be w(v). Round p to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -2\/37 (c) -318\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2563259 is divided by 1067.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157223745.\nAnswer: 3, 5, 7, 23, 21701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/2 + 1371*g - 13860.\nAnswer: 3*(g - 10)*(g + 924)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20677 or 20673?\nAnswer: 20673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -82c338 (base 15) to base 7\nAnswer: -103563521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*v + 3*k + 2, -3*v + 6 = 4*k. Calculate the lowest common multiple of ((-8)\/5)\/(v\/(-15)) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*k + 27 - 433 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15472, -30927, -46380, -61831, -77280?\n\"Answer: y**2 - 15458*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10799 and -1.\nAnswer: -10799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -4*l**5\/5 - l**4\/12 - l**3\/3 - 3*l**2\/2 + 2*l. Let z be j(-2). Suppose 0 = 5*u - 0*u - z. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**6\/360 - g**5\/20 - g**4\/4 - 11*g**3\/6 + 12*g**2. Let a(n) be the first derivative of j(n). Calculate a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312 (base 13) to base 15.\nAnswer: -24c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.7 + 12. Sort -2\/17, 1\/3, n in increasing order.\nAnswer: -2\/17, n, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 1673*f + 2. Let c(v) = -45*v. Give p(c(d)).\nAnswer: -2025*d**2 - 75285*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 5132*v**3 + 4*v**2 + 2560*v**3 + 2565*v**3 - 4*v**2.\nAnswer: -7*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396334 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y = 38*y + 44. Let q = -6 + 15. Let o = 0 + q. Calculate the least common multiple of y and o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -5\/3 (b) 5 (c) 3403 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5421 from -22.\nAnswer: -5443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5420826ng in milligrams?\nAnswer: 0.0000005420826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2359*o + 322. What is the hundreds digit of i(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 13*p - 89. Let q be b(11). Suppose -q*i - 7*i + 85 = 0. Solve -2*u - 12 = 5*s, 0 = -3*u + 2*u - i*s - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 4*g - 3*g**2)*(-18 - 10*g + 16*g + 9*g).\nAnswer: -45*g**3 + 54*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 3529*x - 24601. Let y be m(7). Factor -6*w**3 - 16\/5*w**y - 12\/5*w**2 + 0 + 2\/5*w.\nAnswer: -2*w*(w + 1)**2*(8*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -681175, -1362905, -2044635?\nAnswer: -2726365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-3)\/((-9)\/(-6))))\/(-8*(-255)\/(-6936)).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -2200120021?\nAnswer: 2200120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 786 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.962 + 116.838. Let i = 118 - q. What is the biggest value in -0.16, i, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 7*f - 330 = 12*f, -2*n + 684 = -4*f. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*n - 24, 4*d + 3*n = -2*n - 24. Let c(w) = w**2 - 5*w + 1. Let t(r) = -3*r**2 + 14*r - 3. Suppose -28*q = -23*q + 85. Determine d*t(i) + q*c(i).\nAnswer: i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.3, 0.056, -5, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -939\/2, 1\/4, 4, -0.2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 7*g**2 - 4*g - 3. Let n be o(8). Let b = n - 23. Which is smaller: b or 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.022 - 26.978. Let n = d - -25. Suppose 0*v - v + 3 = 0. What is the nearest to n in 4\/7, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**3\/3 + 6*v**2 + 303*v + 53. What are the prime factors of i(0)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 1560 - 159*t**2 - 205*t + 1560 - 41*t**2.\nAnswer: 5*t*(t - 41)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 9 + 927. Let y be (-226444)\/(-18) + (-34)\/v. What is y rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 3*c**2\/2 + 2. Suppose 0 = -d - 2*b + 4*b - 4, -2 = -5*d - b. Let w(n) = 4*n**2 + 5*n**2 + d*n**2. Give a(w(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1535856014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o**(1\/4)\/o))\/o)\/o)\/o*o*o**5)**29*(o**7*o**(2\/7))\/(o**(2\/7)*o)**(26\/3) assuming o is positive.\nAnswer: o**(3749\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1910*g**3*z**2 + g**3*z - g**3 + 1491*g**2 - 3*g*z**2 - z**2 + 3*z wrt g.\nAnswer: -11460*z**2 + 6*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18790764203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -116, -262, -446, -656, -880, -1106?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 1791*l + 61281. Let d be c(-33). Solve 3\/7*u + d - 1\/7*u**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -28. Let b = n + -11. Let t(y) = -4*y - b*y + 4*y. What is t(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o + 96. Let q be b(-15). Suppose q*i + 7 - 19 = 0. Solve 2 = 2*s - 4*w, -5*s - i*w - 11 = -4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((4 + -2)\/(96\/2640)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 10, 8, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17b3 + 1?\nAnswer: 17b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -497 + 545. What is the tens digit of (0 - -1) + 1536\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 414 + -413. Suppose 0 = 2*f - 3*f + c. Solve 0 = -r - z + 1, r + 2*z - f = 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 + 2?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftf when three letters picked without replacement from {f: 7, t: 3}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 + 74*x - 170. What is m(-21)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 587960 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h + 13. Give v(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4944315?\nAnswer: 3, 5, 113, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18*2*4\/16. What is the tens digit of 3*-60*(-2)\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 70*l + 66. Is q(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1553 + 1535 = -6*d. Solve -3*u = -4*z + 23, u = -d - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 28967 - 94183 = 0. Let q = -143147\/7 + d. Factor -2\/7*u**4 - 332\/7*u**2 - 48\/7*u**3 - q*u - 242\/7.\nAnswer: -2*(u + 1)**2*(u + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27798500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*b + 2*w, -2*b + w = -6*b - 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 21 + 39. Suppose 419*m = 421*m - d. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, w: 4}. Give prob of sequence wwxx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -31 - 12 + 14 - 225*f + 62*f. Is o(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -627401 rounded to the nearest one thousand?\nAnswer: -627000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -20*w + 45 + 48*w - 165 - 24*w. Let l be i(28). Let h(c) = -c - 6. Give h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 17*r**5\/20 + 25*r**2. Let t(f) = 2*f**2. Give t(j(y)).\nAnswer: 5202*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 690, 1487, 2602, 4035?\nAnswer: 5786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517 - 4237 = 372*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4394 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (23247\/1845)\/((-14)\/(-10))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 2*q = -750 + 756, 4*q = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/3 - 8144*n\/3 + 115192 = 0.\nAnswer: -4114, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 2*r**2 + 2*r + 3. What is s(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**3\/3 + 952*t. Let c(g) = g**2 - 106*g. What is p(c(l))?\nAnswer: -2*l**2 + 212*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 156907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708*z - 31*z**2 + 1093*z + 836*z + 58*z**2.\nAnswer: 27*z**2 + 1221*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -91536*g + 457657. Calculate q(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -201*h + 31767. Determine b(158).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1489, 2, 1, -6, 5, -15 in ascending order.\nAnswer: -15, -6, -2, 1, 2, 5, 1489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, s: 8, p: 2, n: 1, t: 1, r: 6}. Give prob of sequence tqrp.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12838000 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.3, -40, 1.09, -1.077, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l - 15. Does 8 divide 2\/6 - (-46)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 12:04 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 5:20 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from ajzyzjdyzjjjdzjjyd?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(-5) - 19\/((-247)\/78)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159 + 155. Let h(b) = 3*b + 6. Calculate h(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14, -16 in decreasing order.\nAnswer: 14, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 162 = 150. Let d(i) = -i - 1. Let p(t) = -15. Calculate f*d(l) + p(l).\nAnswer: -2*l - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1342\/(-4575))\/((-1946)\/10425).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -51 + (2 + -22 - (30 + -58))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4759309.\nAnswer: 4759309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76) + sqrt(76) + sqrt(76) + -3*sqrt(76) + sqrt(76))*-5)\/(sqrt(8)\/(sqrt(10)\/sqrt(5))).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (0 - -7)) + 33 + (-26 - 7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 u when three letters picked without replacement from {v: 8, u: 4, o: 2, y: 2, z: 3}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104250342 (base 6) to base 12.\nAnswer: -7709b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 641502*w + 20531136.\nAnswer: -3*(w - 32)*(w + 213866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c6ab - -33?\nAnswer: c711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 73*r**2 + 618*r + 57602. Suppose 2*v - 44 = -4*s, v = 3*v + 2*s - 38. Calculate the least common multiple of v and w(-75).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -0.1. Suppose -2*o - 1 + 9 = 0. Which is the third biggest value? (a) p (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 5*q - 40 + 10, -3*q + 3*s = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 34\/(-14))\/(-1). Let s = 11 + -9. Suppose 0 = u - 3*h - 12, 5*u - 8 = s*h - 0*h. What is the second smallest value in u, y, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 77343770*x + 175140. Let f(k) = -29146*k - 66. What is -29190*f(c) - 11*m(c)?\nAnswer: -9730*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/47 or -1\/2?\nAnswer: -33\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 3:06 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1538856.\nAnswer: 1\/769428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/21963 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18457 divided by 48\nAnswer: -18457\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12121 + 102?\nAnswer: 12223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b - 6*b + 2*b**4 + 8*b + 7*b**2 wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-3\/5))\/u)\/u**(-1\/4))\/(u\/u**(-1\/3))**(-1\/35)*(u*u*u\/u**(2\/19)*u*u**(-7))\/(u**(-1\/7)*u*u**(5\/4)*u) assuming u is positive.\nAnswer: u**(-10622\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22010001200022 (base 3) to base 10.\nAnswer: -4311800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3 (b) 401\/6 (c) -32.8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 27 = 9*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1050439 and 182?\nAnswer: 14706146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15978*11 + (-25 - -28). Suppose 0 = -6*g + 10*g + 20, 4*o - g = c. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*k - 126*k + 291 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323880.7 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4868, 9582, 14282, 18962, 23616, 28238?\n\"Answer: -h**3 - h**2 + 4724*h + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*n**2*q - 994539*n + 442355504*q with respect to n.\nAnswer: -130*n*q - 994539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10227031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 834 + -152.\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 16*j - 6. Let l be b(5). Let r = l - -20. Suppose -r = -a + 75. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from zdzzdzdzzzzdd?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -16 (b) 0 (c) -31 (d) 6\/11 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 6380.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - t**3 - 2*t**3)*(t**2 + t**2 - 3*t**2 + (t + 2*t - 2*t)*(-11900 - 2655*t + 11900)).\nAnswer: 5312*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*z + 7*z - 7*z + (0 + 1 + 0)*(z + 4 - 4))*((z - 3*z + z)*(5 + 5 + 3) - 2*z + 0*z + z + 3*z + z - 2*z) to the form a + j*z**2 + u*z and give j.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 64.83612 decades?\nAnswer: 0.6483612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**0*o*o)\/(o*o*o\/(o\/o**(-5))))**(1\/23))**(-2\/3))**7 assuming o is positive.\nAnswer: o**(-28\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.306751505 minus -3?\nAnswer: 2.693248495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 599077, -2 in descending order.\nAnswer: 599077, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 716 divide 184012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 506323.\nAnswer: -506327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 8*q - 10*q + 12, -5*t + 5*q = -30 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -0.49 (c) 0.3 (d) -128 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*p + 2*a, -3*a - 4 = 4*p. What is the second derivative of r + r**p - 2*r - 2*r + r**2 wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010202121011 (base 3) in base 4?\nAnswer: 10111210303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 + 162*r**2 + r - 3. Let u(k) = -16*k**3 - 810*k**2 - 6*k + 17. Determine 11*d(x) + 2*u(x).\nAnswer: x**3 + 162*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ed506 (base 16) in base 14?\nAnswer: -792902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -65\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4\/3, 1, 1.2, 0.4, 1393, -0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6222, -6224, -6228, -6234, -6242, -6252?\n\"Answer: -d**2 + d - 6222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1 - o + 2 + 2. Let f(u) = -u. Let b(p) = 1. Let a(v) = -4*b(v) - f(v). Give -6*a(y) - 5*h(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49231\/341 - 82\/31. Let i = -142 + c. Let f = -29\/20 - 129\/20. Find the common denominator of f and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55.093 + 58.09. Let r = -3 + m. Let t = r - 0.05. Round t to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (8 - 3) + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, y: 11}. Give prob of picking 1 n and 1 y.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 33048491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 155*v + 258*v + 14360 - 44096. Find l such that -12*l - 1\/2*l**2 - v = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0316 + -0.5316. Let k = -7 - -7.026. Which is the biggest value? (a) i (b) -1 (c) k (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456051 (base 8) in base 13?\nAnswer: -117943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110000100100 + 1?\nAnswer: 1000110000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -726955430, -1453910859, -2180866288, -2907821717?\nAnswer: -3634777146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 158028761 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + (7 - 2) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*((sqrt(136)*-2*-1 - sqrt(136)) + sqrt(136) - sqrt(136))\/(-1*sqrt(200)))**2.\nAnswer: 9792\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 114321031 (base 5) to base 14\nAnswer: 101756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + o + 2*o + 60*o to the form s + x*o and give x.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.747 - -1.747. What is the closest to 2 in 3\/8, w, -5, 35?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 1:29 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -17*r**7\/210 - 5*r**3\/6 + 17*r**2. Find the first derivative of y(n) wrt n.\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1832, 1863, 1894, 1925, 1956, 1987?\n\"Answer: 31*x + 1801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1497408 by 88.\nAnswer: 17016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4556 is divided by 298?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2830, 3295, 3758, 4219, 4678, 5135?\n\"Answer: -o**2 + 468*o + 2363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25120 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r - 23. Let v = -2 + 17. Let k be g(v). What is the highest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10*845\/(-338)*1\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1392)\/(-290))\/(3 + (-65)\/25)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/72 and (-36)\/234 + (-2786)\/2340?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1197.7 and 6121?\nAnswer: 4923.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-200)\/1260*(-24)\/40.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**2 - 1 - g**3 + 4*g**2 - 6*g**2 - g. Let d be s(-6). Suppose -2*y + 3 + 4 = -q, -5 = d*y + 5*q. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 10*p = -0*p + 15008. Calculate the remainder when p is divided by 38.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggxdaddddg. Give prob of sequence xga.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 83451, 167012, 250681, 334458?\n\"Answer: 54*n**2 + 83399*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -144*m - 32692. What is h(-227)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/5 + 4008078*v\/5 + 12024216\/5 = 0 for v.\nAnswer: -2004036, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.043 + -0.057. Let t = -16 - o. Let f = -1\/24 - -3\/8. Which is the second smallest value? (a) -4\/3 (b) t (c) 4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13933\/15 - -929. Which is the fourth biggest value? (a) u (b) -0.41 (c) 3 (d) -8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, -49, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202 + -457. Let i = 255 + f. Factor -8\/3*x**3 - x**4 + i*x - 2*x**2 + 1\/3.\nAnswer: -(x + 1)**3*(3*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*z + 26*z + 878. What are the prime factors of z?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36553.\nAnswer: 11, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -52. Let s = -18 + z. Which is the closest to -1\/4? (a) s (b) -5 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194451569 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -21. Let k be 270\/14 - t\/(-28). Calculate the highest common factor of 133 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13455059 < -13455063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 5818509288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 453, 904, 1355, 1806?\nAnswer: 2257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 104, 292, 628, 1154, 1912, 2944, 4292?\nAnswer: 5998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 112 = n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 626030123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from {f: 3, t: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8304 and 5342586.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -12*k - 8. Let h(t) = -4*t. Give m(h(j)).\nAnswer: 48*j - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + t = 4*w + 40, -2*t - w = 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 2*j + 12*j)*(0 + 4 + 0 + 1 + 1 - 3 + (-2 + 0 + 4)*(4 - 1 - 2)) as c + b*j and give b.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -169*o - 7262. Determine c(-43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97505.\nAnswer: 5, 19501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euueeuxceeecxuerix. Give prob of picking 1 i and 1 u.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -47556?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 5:04 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (4 + -2 - -1)) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -96649.897 rounded to the nearest 100?\nAnswer: -96600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + -1 - (-6 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 653, 1463, 2593, 4043?\nAnswer: 5813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = 8. Suppose 2*d - j = 0, 5*d = -4*i + 1 - 3. Let m = i - -5. Sort m, -0.3, -3 in increasing order.\nAnswer: -3, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815 - 2490 = -10631*y + 10606*y for y.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1178888667 to the nearest 100000.\nAnswer: 1178900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63.7 - -63.667. Which is the second biggest value? (a) t (b) 1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqrrqqlylyqq. Give prob of sequence yr.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 35.407?\nAnswer: 52.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 889017, 889010, 889005, 889002, 889001, 889002?\nAnswer: 889005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1019*c - 2 - 1141*c + 4*c**2 - 5*c**2 + 2046*c + 2*c**2 in the form j*c**2 + i + l*c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 14*q - 4. Let w(n) = -4*n**3 - n**2 - 29*n + 7. Calculate 7*u(b) + 4*w(b).\nAnswer: -2*b**3 - 4*b**2 - 18*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5*l - 4)*(-l - l - 2*l)*(-6*l + l - 2*l).\nAnswer: -140*l**3 - 56*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + t)*(5 - 3 + 8)*(-8 + 3 - 1)*(-14 - 1 + 8)*(-2 - 1 - 1).\nAnswer: -1680*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3328) - -3*sqrt(3328)))\/((sqrt(36) + sqrt(72)\/sqrt(2))\/sqrt(9)*-4).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5787830 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (-2*sqrt(208))**2 + sqrt(13))*2.\nAnswer: 4*sqrt(13) + 1664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/36 + 1\/9. Let h be 5\/2*4\/(-40). Which is the closest to h? (a) 1\/3 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, 0, -1 in ascending order.\nAnswer: -1, 0, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*(k*k**(-1\/4)\/k)\/k))**(2\/177)\/(((k**(-3)\/k)\/k)\/k*k)**(4\/3))**(-17))**49 assuming k is positive.\nAnswer: k**(-1970045\/354)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15897, 31789, 47681, 63573?\n\"Answer: 15892*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/106281 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 0*b - 1 + b + 5. Let s(j) = j**2 - 4*j + 3. Let p be s(3). Let v be c(p). Solve 3*t = 4*g + 26, -v*t + 2 = 2*g + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1288 - 704 = 6*w. Let o = 342 + w. Solve -6*m = -m + o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**2 - 3*x + 6. Let n be l(-6). Let j be 7 + 534\/(-78) + 2004*6\/(-78). Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*l - 4 = 122*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 403?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 5:30 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -5, -0.1, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567 = 4*z - 5*f, -49*z = -53*z - f + 597. Calculate the lowest common multiple of 32 and z.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 plus 10769?\nAnswer: 11195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -11873\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 181 + 13*n**2 - 181 + n**2. Let q(u) = -2*u**2. Determine t(q(p)).\nAnswer: 56*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 17 = 5*i, 5*j = 2*i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -19*s + 703. Calculate the remainder when 106 is divided by h(32).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11886774.\nAnswer: 2, 3, 17, 116537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -3\/7, -2, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220, -1493, -4970, -11755, -22952, -39665?\nAnswer: -62998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x**2 + 9*x**2 + 10*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (27 + -23)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 64*v**2 - 1113*v + 2790.\nAnswer: -(v - 31)*(v - 30)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t - 5 + 3*t**2 - 7 + t + 17. Give w(-6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 14*w**2 - 15*w - 29. Suppose 10 + 7 = -z - 3*n, 0 = 2*z + 3*n + 28. Does 48 divide m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*z + 56*z + 214*z = 4494 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 47)\/(-2 - -1). Let b = -41 - g. Solve -b*n = -2*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(147) + -2*sqrt(147) - sqrt(147) - sqrt(3)) + -2.\nAnswer: -2 - sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0233748 millilitres to litres.\nAnswer: 0.0000233748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2215799 is divided by 1719.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 1309 - 2656 + 4963*t**2 + 1346 to q + z*t + o*t**2 and give o.\nAnswer: 4963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 11:13 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 189777*g**2 - 4 - 22 + 26.\nAnswer: 189777*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*o*s**3 - 5*o*s**2*t - 33*o*s**2 - 8*o*s*t - 7*o*s + 657*s**3*t + 2*s wrt t?\nAnswer: -5*o*s**2 - 8*o*s + 657*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1824)\/(-6) - 3 - 5. Let p = k - 292. Solve -p + 2 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(6*(-2)\/104)\/(-45)*-2?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645 = -9*n - 34*n. Calculate the remainder when 72 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in grams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 32 = 2*v, 2*u - 5*u - 4*v + 8 = 0. Let k be 12242\/(-8) - (-2)\/u. Does 17 divide (0 - 1)\/(-1)*k\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3904 divide 1372003922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 31\/8 - 3\/(-24). Suppose -32 + 2 = -5*n. Solve 6*x - c*x - n = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/157 in 5\/2, -7, -0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-1 - -2 - 6)) + -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 8*g**2 + 3*g - 5. What is o(4)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 - 17*p\/3 + 16\/3.\nAnswer: (p - 16)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -142*f + 94*f - 294 - 282 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (70\/(-18))\/((-2450)\/2100). Sort 12, 1\/4, x in ascending order.\nAnswer: 1\/4, x, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -3\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, x: 7, h: 2, b: 4, e: 3}. Give prob of sequence wb.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.714465 nanoseconds in microseconds?\nAnswer: 0.003714465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 0) + -130 + 119\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/4 (b) 1 (c) 9855 (d) 4 (e) 2\/33 (f) -1\/7 (g) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85.47 - 0.47. Let w = 81 - j. Which is bigger: 6 or w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -35*y - 69. Let m(j) = -8*j - 17. Let z = -459 - -450. Let v(n) = z*m(n) + 2*h(n). What is v(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 2*b + 7. Let s(p) be the second derivative of -1\/3*p**3 + 0 + 1\/6*p**4 + 4*p - 3*p**2. Give -6*k(f) - 7*s(f).\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -101*v. Let h(x) = -x. Give h(i(s)).\nAnswer: 101*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4? (a) 31 (b) 0.32 (c) 0.4 (d) 2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 3805?\nAnswer: -7\/3805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 12:38 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 13*c**2 - 8*c - 81. Let d be g(14). Suppose 2*r = -o + 5409, 5*o - 32024 + 4992 = d*r. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c - 4*m + 6, 5*c - 39 = 2*m. Calculate the smallest common multiple of 9 and c.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - d + 30 = 0, z + 8 = -d - 2*d. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/3 - 22367*r - 134198\/3 = 0 for r.\nAnswer: -67099, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 85*y + 39*y + 5 - 121*y. Let k(f) be the first derivative of -f - 1. What is 4*k(b) + w(b)?\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 952 - 866. Solve b*d - 77*d = -27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (sqrt(9)\/sqrt(3) + -4))**2*-2.\nAnswer: -518 - 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 14 + 1 = 0. Suppose -4 = -y*t - 4. Calculate the smallest common multiple of (-20)\/(t - 5) - 5*-4 and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 28 + 35 - 61 + 9*o**2 + 0*o**3 - o. Let d be 6\/9 - 46\/6. What is the units digit of s(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*sqrt(4617) + sqrt(4617))\/(sqrt(3) + sqrt(48)\/sqrt(4) + sqrt(12)))*-6.\nAnswer: -162*sqrt(19)\/5 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/10)\/4*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 245, -0.3, -0.2, 0.3.\nAnswer: -0.3, -0.2, 0.3, 3, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from {c: 5, x: 1, f: 1, k: 5}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 40*a**3 + 423*a**2 - 1662*a. What is z(4)?\nAnswer: 2680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13898\/259 - -376\/7. Let j be (1 + -1)\/((-8)\/4). Is u smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60306.\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.4 + 35. Let k = 17 - f. What is the biggest value in -0.7, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/3716 - -7425\/26012. Which is the second biggest value? (a) 0.9 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 35, -11, -5 in descending order.\nAnswer: 35, 0, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 11:32 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111\/4 - -28. Let f be (-2)\/(-2*(-2 + -1)). Let b = 0.13 - -4.87. What is the closest to p in 1, b, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -118, -264, -488, -802, -1218?\n\"Answer: -2*g**3 - 21*g**2 - 3*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.3. Suppose 2*r + 7 = -1. Let g = 58 - 57.7. Put g, r, s in descending order.\nAnswer: g, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 285 - 261. What is the smallest common multiple of x and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -106c7 + -2?\nAnswer: -106c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = n - 9, 0 = -n - 4*n. Suppose -3*v + r*q + q = -20, 4*v = -3*q - 15. Suppose v = -o + 25 + 27. Is o a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0)\/((-4)\/(-12)). Let u = -0.9 - -0.5. Let q = u - -0.4. Which is the third biggest value? (a) q (b) z (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.779119057 rounded to four decimal places?\nAnswer: -0.7791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -10 - 0. Suppose -2*k + 2*y = -2, 2*k + 4 = -k - 4*y. Solve k = -5*n - 5*r - a + 20, -3*r = n - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -g - 2 + 3, -g = -d - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-4 - -20)) + -3 + (0 - -1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + w + 0*w + (0*w + w + w)*(-7 + 3 - 1) - w + w - w - 4*w + w + w)*(4*w**2 + 3*w**2 - 5*w**2) to m*w**3 + j*w + q*w**2 + g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vevxepvxxrxx. Give prob of sequence xxx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21272.79mm?\nAnswer: 21272790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -229073 (base 11) in base 10?\nAnswer: -363443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261973023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, and 1 x when three letters picked without replacement from iriiirrbiirrrxbiiirr.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/110 + 28881\/33 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/39)*h)\/(h**(3\/5)*h))\/(h**(-9\/4)*h**(1\/6)*h) assuming h is positive.\nAnswer: h**(139\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 11*g**2 + g**2 + 33*g**2 + 2*g**2.\nAnswer: 47*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 2874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, y: 1, d: 1, e: 2, a: 8, q: 3}. Give prob of picking 1 a, 1 y, and 1 q.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -609 + 2415 + 10*k - 600 - 605 - 601.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-54)\/(-4)*260\/39 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3024736051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84*m - 119*m + 243*m + (1 + 1 + 1)*(-2*m - 3*m + 2*m)*(-3 + 1 + 1).\nAnswer: 49*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6) - 6\/(-18). What is the nearest to n in -1, -2, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d - 16*f = 945 - 649, 31 = -3*d + f for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 4*b**2 + 4. Let o be l(-3). Let s(j) = 2*j + 5 + 3*j + j**2 + 0*j**2. Let m be s(o). Solve -5*k = 2*d - 21, -m*d - 30 = -2*k - 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-30576)*-78)\/(-3)?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48227092867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**4\/7 + 1424*q**3\/7 - 675450*q**2\/7 + 106495000*q\/7 + 107171875\/7 = 0.\nAnswer: -1, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**3\/3 + 174*a**2 + 347*a + 2274. Factor j(d).\nAnswer: (d + 1)*(d + 347)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k - k + (-1 - 1 - 8)*(-3*k + 5*k - 5*k).\nAnswer: 29*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 20*l - 4*l + 126 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3814 + 3814. Let f(d) be the third derivative of -1\/24*d**6 - 5*d**2 + n*d + 5\/24*d**4 + 0*d**5 + 0*d**3 + 0. What is u in f(u) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 158, 325, 492, 659, 826, 993?\n\"Answer: 167*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*v + 54 = 32*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrbscccrrsibbcrscrb. Give prob of sequence ir.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:01 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 16*m**2 + 19*m**2 - 4*m**2 + 0.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from tblbqbcciqit?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -24. Solve -l - 3 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from mlllrbrlvvlrvmrlrb.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-7) + 6\/(-9)*180\/105. Put j, -4, 3, 203 in ascending order.\nAnswer: -4, j, 3, 203","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/27636 and 45\/784.\nAnswer: 110544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.3. Let i be (-48)\/12 - (0 - 0). What is the closest to d in i, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**0)**(1\/36)\/((o**(1\/6)*o)\/(o\/o**7))*(o\/((o**(2\/5)*o)\/o))**18*o**(-3)\/(o\/o**(-3\/4)) assuming o is positive.\nAnswer: o**(-191\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnznnnnznnn.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1, 2\/15, -28 in descending order.\nAnswer: 1, 2\/9, 2\/15, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*w**3 + 239*w**2?\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(4*(-5)\/30). Factor n**v + 0 + n**2 + 0*n + 1\/4*n**4.\nAnswer: n**2*(n + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12901 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 559, 3.\nAnswer: -2, 1, 3, 559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 1, r: 10, e: 3, o: 1, w: 2}. What is prob of sequence rw?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*d + 29*d**2 - 68*d - 90*d + 237*d.\nAnswer: 29*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11618469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 185*g**3 - 835*g**2 + 1135*g - 480.\nAnswer: -5*(g - 32)*(g - 3)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 7, 2, -142, 5 in decreasing order.\nAnswer: 7, 5, 2, 1, -5, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d + 1. Let l be g(4). Let u = l - -1. Let h = u + -19. Sort 12, -2, h.\nAnswer: -2, h, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = 5. Suppose -3*k + 4 = -5. Put p, k, 2 in increasing order.\nAnswer: p, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9736 + 2.0264. Let f = -0.2 + 0.2. Which is the closest to 1? (a) w (b) f (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-1*(-12 - -12). Suppose -23 = -4*o + 5*c, 20 = 4*o - h*o - 4*c. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/26 or 2?\nAnswer: 23\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*t - 5*p + 8 = -77*t, 0*t - 4 = -3*t - p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u - 1. Let s(w) = -4*w**3 + w**2 + w - 6. Let p = -563 + 564. Let q(d) = p*s(d) - 3*y(d). What is q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9015.354t?\nAnswer: 9015354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -37, -88, -171, -292, -457, -672, -943?\nAnswer: -1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*n = 6, 2*g + 5*n - 23 = 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -15*v**2 - 129*v - 92. Determine f(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1904, -2865, -3806, -4715, -5580, -6389?\nAnswer: -7130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 426, 476, 526, 576?\n\"Answer: 50*r + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4934142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -56*m + 11. Let y be r(-2). Let p(n) = -123*n + n**2 + 3 - y*n + 251*n. What is p(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 47.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**6\/24 - 3*z**5\/20 + 11*z**4\/24 + 7*z**3\/6 - z**2 + 94*z. Let w(q) = -3*q**3 - 5*q**2 + 6*q + 4. Give 7*w(u) - 4*x(u).\nAnswer: -u**3 + u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13*b - 2. Let s be x(-5). Let a = s - 43. Suppose -3*i = 2*i + a. Sort i, -5, -2 in ascending order.\nAnswer: -5, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2097*x**3 - 1213*x**2 - 5078*x - 1768 = 0.\nAnswer: -1, -884\/2097, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2 - 187*o - 2*o**2 + o**2 + 191*o + 0. Suppose -5*u + 108 = -42. Calculate the least common multiple of k(4) and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 202200 - 35?\nAnswer: 202143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - y + 2*y + (2 - 1 - 3)*(0*y + 3*y - y) - 3*y + 3*y + 2*y - 4*y - 3*y + 2*y - 4*y - 6*y + 2*y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 118*v**2 + 672*v + 1. Give g(112).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1409 - 1345. Calculate the highest common factor of 11 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + 1504*o - 1. Let v(d) = 4469*d - 2236*d + d**2 - 2233*d. Give x(v(j)).\nAnswer: -2*j**4 + 1504*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 9 - -5) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 976341000 to the nearest 1000000.\nAnswer: 976000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -76964618 to the nearest 10000.\nAnswer: -76960000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10316 - 41263\/4. Let p(v) = v**2 + v + 10. Let c be p(8). Is h <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 15*o + 28. Suppose c + 0 = -5. Let y(b) = -9 - b - 8*b - 20 - 8*b + 0. Let k(s) = c*y(s) - 6*x(s). Find the first derivative of k(q) wrt q.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 351.4 + -350.28954. Let n = 74.83854 + z. Let d = n + -76. Round d to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70746 rounded to the nearest one hundred?\nAnswer: -70700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i**2 + 76*i**2 + 10 - 10 + 25*i - 92*i**2.\nAnswer: i**2 + 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 252\/30 - (-2)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 326*z**3 - 2*z**2 - 2*z + 9. Is g(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + (0 + sqrt(208) - sqrt(208)) + (sqrt(208) - sqrt(208)*1)*-3)**2 + (-6*(-2*sqrt(208) - sqrt(208)) - sqrt(208)) + 2*sqrt(208)*2.\nAnswer: 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8101, -16203, -24305, -32407, -40509?\n\"Answer: -8102*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58.173 + 4.403. Let i = h + 50.6. Let m = 3.169738 + i. What is m rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 394.58 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/75 + -10 + (-11356)\/(-696) + -5\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**8\/784 - 13*h**7\/490 - 33*h**6\/140 - 81*h**5\/70 - 27*h**4\/8 - 81*h**3\/14 + 8*h**2. Factor c(u).\nAnswer: -3*(u + 1)*(u + 3)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1321\/7 - -189. Let v be 2\/(-60) + 1\/3. Let l = v - 4\/5. What is the closest to -1 in s, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -743984, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4aec3 + -7d5?\nAnswer: -4b698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:48 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9858260, -39433054, -88724378, -157732232?\n\"Answer: -9858265*o**2 + o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*a + 26 = -3*s, 2*s - 2*a = -14. What is the least common multiple of (-8)\/s*(3 - -12) and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + r - 1. Let g(n) = n**6 - 3*n**3 - n**2 + 3*n - 3. Let z(q) = 15*d(q) - 5*g(q). Find the third derivative of z(l) wrt l.\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28896.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 2*i - 5*i)*(i - i + i) - i**2 + 2*i**2 - i + 6*i**2.\nAnswer: 8*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 49 + 20. Suppose -4*t + z = 1. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4047.95 from 5.\nAnswer: 4052.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003348 to seven dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*w - 0. Let c(v) be the second derivative of v**3\/6 + v**2\/2 + v. Let z be c(-1). Put w, -5, z in increasing order.\nAnswer: -5, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 36. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.330615 rounded to 2 decimal places?\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10496*i**2 - 292*i**3 - 1 + 1 + 10496*i**2 + 356*i**3.\nAnswer: 64*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -461 (b) 0.29 (c) 0.02 (d) 2 (e) -1\/6 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15268 is divided by 2415.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3\/2 + 1612*q**2 + 1289546*q - 15707544 = 0.\nAnswer: -1618, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 - 68. Solve -t*s = -4*u + 35, -2*u + 20 = -4*s - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665365.4g in nanograms?\nAnswer: 665365400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30420443 (base 5) to base 16.\nAnswer: 3c9b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186*f*t**3 + 263*f*t**2 + 2*t**3 wrt t.\nAnswer: 1116*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3047*h**3 + 2*h + 1519*h**3 + 2*h**4 + 1489*h**3 to the form r*h**3 + d + m*h + y*h**4 + b*h**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 18*f - 13. Let c(i) = 12*i - 9. Suppose -434 = 5*y - 67*y. Give y*c(t) - 5*s(t).\nAnswer: -6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*c - 1119 - 2157 = -588 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4*a + 36, -a = -5*k - 5*a + 54. Let o be (-455)\/20 + (-1)\/4. Let u = o - -38. What is the highest common factor of u and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*((-1*sqrt(99) + sqrt(99) - sqrt(99) - sqrt(99) - sqrt(99)) + sqrt(99) - sqrt(99)))\/(sqrt(36)\/(2*sqrt(16)))*-1)**2.\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p. Let u(x) = -4*x + 5*x - 5*x**2 + 2*x. Let t be (-1)\/(-4) + 520\/(-160). Let n(c) = -6*c**2 + 4*c. Let q(g) = t*n(g) + 4*u(g). Determine q(j(k)).\nAnswer: -98*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, -58, -1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 759605.5 centuries?\nAnswer: 75960.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 e when four letters picked without replacement from {e: 4, s: 15}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r - 3 + 3359*r**4 - 1678*r**4 + 5*r**3 - 1671*r**4 - 5*r**2 - 3*r**3 + 1 in the form t*r**3 + j + s*r**2 + l*r**4 + f*r and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**(1\/4) assuming n is positive.\nAnswer: n**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*y - 4 = 0, 2 = -y + 1. Suppose 23 = -3*b + 5*a, -h*b - a - 10 = 1. Is 6 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2051 (base 10) to base 12\nAnswer: -122b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 5:40 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x**2 + 10311 - 10324 + 48*x**2)*(-3*x**2 - 2*x**2 + 0*x**2).\nAnswer: -285*x**4 + 65*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 + 28*t**2 + 58*t + 7. Let h be s(-2). Put -2, h, 72 in decreasing order.\nAnswer: 72, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223616298 to the power of 1\/2, to the nearest integer?\nAnswer: 14954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 206976 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -12. Let p = c - 4. Calculate the highest common factor of p and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 2244.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 225 - 316.5. Let j = w - -92. Let m = -0.01 + -3.99. What is the nearest to 1 in -1, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 + 170*b + 130 + 3*b**2 - 1226*b = 0 for b.\nAnswer: 0, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.034 + -0.534. Let s(q) = 9*q. Let p be s(0). Let k = 0.5 + -0.4. Which is the nearest to k? (a) p (b) -1\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*b - 3*b + 2*b)*(-1 + 3 - 4)*(291 - 622 + 279) to the form x + q*b and give q.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/4 - 31*z**3\/4 + 175*z**2\/4 + 207*z\/4.\nAnswer: z*(z - 23)*(z - 9)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 15 = -0*i. Let q(z) = 80*z**2 + 883*z + 28. Let d be q(-11). Sort d, 4, -14, i in ascending order.\nAnswer: -14, d, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 711768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1\/135, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**5 + n**4 - n**2 - n + 1. Let m(x) = 23*x**5 + 9*x**4 - 9*x**2 - 28*x + 9. Let i(h) = 18*k(h) - 2*m(h). Find the second derivative of i(f) wrt f.\nAnswer: -560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u - 1. Let d be c(-1). Suppose s - h = 8, s + s - 3*h - 20 = 0. Let i(x) = s*x - 4 + 7 - x**2 + x. Give i(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 5, -1\/4, 1\/2, -1 in descending order.\nAnswer: 5, 1\/2, -1\/4, -1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -32560.\nAnswer: 1\/32560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 12, c + 7 = 3*u - 3. What is the second derivative of 17*d - d**c - 9*d + 5*d**2 wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2\/7 - 11*f\/7 + 18 = 0.\nAnswer: -18, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 256\/(-6) + 22\/33. Let g = -57 - v. List the prime factors of ((-18)\/g)\/(1\/30).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**3 - 2*k**4 - 159*k**2 + 157*k**2 - 2*k**3 + 2 - 3 to the form y*k + i*k**4 + f*k**2 + a + o*k**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*54\/144*(-2)\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - ((-212)\/(-60) - (-6)\/45). Sort s, -4, -1\/5, -0.4 in ascending order.\nAnswer: -4, -0.4, -1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 7*g - 3. Let j be u(6). Let m(i) = -i - 1 + 3*i + 0*i - j*i. Let s(h) = 3 + 3 - 2 - 2*h**2 + 5*h. Determine -6*m(r) - s(r).\nAnswer: 2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 7, -15, -5, 25 in decreasing order.\nAnswer: 25, 7, -5, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12136116 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 15*s**7\/14 - s**4\/24 - 169*s**3\/6 + 3*s**2 + 5*s. Differentiate m(o) with respect to o.\nAnswer: 900*o**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 203\/4. Sort r, -0.4, 2 in descending order.\nAnswer: 2, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5017700 rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -150, -2\/7, -2\/9, 8.2, -2\/3.\nAnswer: -150, -2\/3, -2\/7, -2\/9, 4, 8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*d + 370*d**3 - 369*d**3 + 34*d + 1 + 3*d**2 in the form m*d**3 + p*d**2 + z + n*d and give n.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**7\/11340 + 17*a**6\/810 - 289*a**5\/135 + 49*a**4\/12 - 108*a. Let h(s) be the third derivative of k(s). Factor h(x).\nAnswer: -2*(x - 34)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -487.9212 rounded to one decimal place?\nAnswer: -487.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36927392 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -415581 and -1.\nAnswer: -415582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1025*w**3 + w + 5235*w**3 + 1103*w**2 - 1 - 1103*w**2.\nAnswer: 4210*w**3 + w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/25488 and -7\/20912.\nAnswer: 33312816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129231475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(270) - ((sqrt(270) + -2*sqrt(270) - sqrt(270))*5 - sqrt(270))))\/((sqrt(90) + -4*(sqrt(90) - 2*sqrt(90)))\/(sqrt(81)*1)).\nAnswer: -648*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 832103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 66317698 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: Let s(p) = -p**3 - 6*p**2 + 7*p + 6. Let m be s(-6). Let z be (2\/m)\/(4\/(-16)). Let d = -6.94 + 6.44. What is the nearest to -2 in d, -0.07, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from {j: 1, l: 13, h: 1}?\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 5*u**2 - 5*u + 4. Suppose 12 = 4*w + 2*w. Suppose -l + w = -1. What is v(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 1501. Let p be k(0). Let l = 5493 + -3013. Let h = l + p. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7273*m = 7334*m + 610 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2889010?\nAnswer: 2, 5, 251, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4735 - 4711. Calculate the remainder when 2\/5 - (-463)\/5 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 93\/31 + 1 + 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.367 + -0.067. Which is the closest to 0.1? (a) 0.2 (b) p (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39232*p**6 + p**2 + 2*p - 9109?\nAnswer: 4707840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 40800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1000 + -849. Sort -3, -2, f, -4 in increasing order.\nAnswer: -4, -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - o**2 + 6*o + 16. Let u(q) = q**3 - q**2 + 7*q + 17. Let r(y) = -5*u(y) + 6*v(y). Let f be r(0). Let s = f - 2. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 1:44 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 25*z = 15*z - 44*z + 40, 0 = 4*v + 5*z - 37 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5317 is divided by 47.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from konoakkkokookkokko. What is prob of picking 1 n and 3 k?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 3*o + 4*n, -37*o + 88*o - 8*n = 46*o - 169 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 2*h**2 + 6*h**2)*(157 - 307 + 152) + 2*h**2 - 2 + 2 + (0*h + 0*h - 2*h)*(5*h - 2*h - 2*h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*j + 222*j + 135 = 0. Let p(c) = -c**2 - 27*c + 3. Let r be p(j). Solve -25 = r*g - 8*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 98, 108, 116, 122?\n\"Answer: -g**2 + 13*g + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 3:37 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3\/5, -0.4, 40\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a millennium in decades?\nAnswer: 1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 339.0576 centimeters to meters.\nAnswer: 3.390576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**6\/60 + w**5\/60 + w**4\/6 + 5*w**3\/6 + 5*w**2. Let t(z) be the first derivative of d(z). Let t(a) = 0. Calculate a.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8840)\/120*1884\/2041?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 x when three letters picked without replacement from {x: 6, a: 1, f: 10}.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 - 2*r - 3. Determine q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 7*z**2 - 6*z + 45. Let f be q(7). What is w in 0 + 3\/2*w**f - w + 1\/2*w**2 = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let i(v) = -3*v**2 - 6. Let h(p) = 7*p**2 + 12*p + 25. Let b(r) = -13*r**2 - 22*r - 46. Let a(u) = -6*b(u) - 11*h(u). Determine z*i(o) - 6*a(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008251987 to four decimal places.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 t, and 1 f when four letters picked without replacement from vtvftmtctttfv?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/((-13)\/104)*(-1)\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**4\/12 + o**3 + 185*o**2\/2 + o - 16. What is the remainder when 195 is divided by l(-9)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 185*i**3 + 6*i**2 - 4*i + 3. Let v(h) = -371*h**3 - 10*h**2 + 7*h - 5. Determine 5*c(b) + 3*v(b).\nAnswer: -188*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - 3*s**2 + 5*s. Let b = -10 - -6. Let i be o(b). Suppose 5*c = -0*c + i. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25616971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 18 = c. Let x = 39 + -44. Calculate the remainder when c is divided by (-18)\/(-30) + (-47)\/x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + 1 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403664 - 384061 = -5835*x for x.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/66)\/((-30)\/135). Put 3, 1\/9, -2.4, b in descending order.\nAnswer: 3, b, 1\/9, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000214234 to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f - 13*f + 18 + 16*f**2 - f**3 - 10*f. Let x be g(15). Suppose -6*z = -2*z + 3*y - 76, -3*z + x*y = -78. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/36*(-1 + (-4)\/(-3)). Is 63 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:09 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 3*z + 12, z - 2*z = 5*s + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6347 (base 12) in base 8?\nAnswer: -25147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*b + 32 = 4*v, 5*b - 35 = 5*v. Suppose 23 = b*h + 167. Let p be 8*((-2)\/h)\/((-3)\/(-9)). Solve -t = -p*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, n: 2, u: 1, d: 1, a: 1, w: 1}. Give prob of sequence fnnd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 144.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 12:19 AM?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -861 divided by -5.\nAnswer: 861\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -8\/17*i + 2\/17*i**4 - 12\/17*i**2 + 10\/17 + 8\/17*i**3 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002947640121 to 7 decimal places.\nAnswer: 0.0029476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1252.599966317 - -1252.6. What is v rounded to 7 decimal places?\nAnswer: 0.0000337","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 8*w**2 - 10*w + 11. Determine p(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 3 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18886 is divided by 1716.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80964?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 54 = 5*l, -2*l - 16 = -20 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -8836*w**2 + 752*w - 16 = 0.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 95917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-6) + 1 + 3\/9. Let d(t) = -t**2 + t + 5. Calculate d(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 5:15 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11814.30558 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 11:48 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tstvsvsssv. Give prob of sequence vt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*h + 2*h + 10, -4*f = 5*h + 6. Suppose 3*z + s = 63, -h*s - 21 - 73 = -5*z. Calculate the greatest common divisor of 35 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -57132, -7, 2\/7 in decreasing order.\nAnswer: 2\/7, -2, -4, -7, -57132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 - 19*q - 1. Determine i(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 140.5773nm?\nAnswer: 0.0001405773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjv when four letters picked without replacement from {j: 15, v: 3}?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-12\/11)*f**(-11)*(f**(-2\/11))**19)**(-11))**(-5\/8) assuming f is positive.\nAnswer: f**(-855\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {a: 5, b: 7, h: 4}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 1:11 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**8\/6720 + n**7\/840 + n**6\/360 - n**5\/120 + 25*n**4\/2 + 4*n + 5. Let w(f) be the third derivative of g(f). What is w(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 33. What is y(-14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 2*a - 58 + 47, -a + 7 = 4*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = -s. Let o(l) = l**2 + l**2 + 0*l**s. Let z(d) = -4*d**2. What is o(z(m))?\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3208 and -1951.\nAnswer: -6258808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 - 5*x + 3. Let w(b) = -4*b**3 + 9*b - 5. Give -5*i(k) - 3*w(k).\nAnswer: 2*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3.34. Let n = 0.06 - w. Let f be (656\/128)\/(-41) - (-1)\/2*0. Which is the second biggest value? (a) n (b) f (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.39652um to nanometers.\nAnswer: 66396.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 780?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (-15 - (19 + 10 - 25))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208478563 divided by 5084843.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 511, 2021, 4535, 8053, 12575, 18101?\n\"Answer: 502*v**2 + 4*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22.704 and -3210480.99?\nAnswer: 3210503.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 322781353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*i + 78, -119 = 2*r - 5*i - 39. Let y = 58 + r. Let n = -2 + y. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.45 + 0.55. Let u be (-810)\/3060*8\/(-18). What is the second smallest value in p, 7, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 41 = 5*r, -4*r + 3*p + 48 = -0*r. Suppose 0 = 4*s + 3*t - 0*t + r, 5*s - t - 3 = 0. Suppose -2*m - 2 + 18 = s. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:35 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011 (base 2) to base 12.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -4*f + 6*s + 5, 0 = -f + 5*s + 30. Solve -2*o + 2 = -o + 5*q, q - 16 = f*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*z + 3341344, 12*z - 7*z - 4176695 = 5*g. Is 4\/18 + z\/81 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94213, 188451, 282721, 377035, 471405, 565843, 660361?\nAnswer: 754971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-4) + -2 + -145 + 139. Which is smaller: -481 or y?\nAnswer: -481","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53742*y**3 - 26874*y**3 - 26879*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 8, 2*a + 16 = 4*a - 4*m. Solve a = -2*n + 3 - 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-6))\/(20\/(-15)))\/((-30)\/180)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3 - 4*b + 2*b + 3*b**2 - b**2 + 4. Let d be n(1). Suppose -2*s - v + 27 = 0, v = -0*v - d. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -197, -12, -26, 1, 5, -4 in increasing order.\nAnswer: -197, -26, -12, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22384768 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**2 + 3*q - 23. Let w be g(-14). Suppose -277 = 4*n - 5*n. Let k = n - w. Round k to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 213659, 213023, 212387, 211751?\n\"Answer: -636*j + 214295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 (base 11) in base 6?\nAnswer: 4031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s + 35. Let q(f) = -695 + 158 + 179 + 182 + 180 + 7*f. Let r(k) = 4 - 9 - 17*k - 2 + 4*k. Determine s*q(w) + 4*r(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 926 + -209. What are the prime factors of v?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**4\/4 + 8*q**3\/3 - q**2 - 12*q + 1. Let y be (-8)\/10*(9 + -5 + 6). Let h be i(y). Sort 2, h, -2 in ascending order.\nAnswer: -2, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*72\/16. Suppose 54 = p*o + 6. Suppose b - o - 5 = 0. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1015089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**2 + y - 5. Let m(o) = o**2 - 1. Determine -2*m(j) + v(j).\nAnswer: 4*j**2 + j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, -0.7, 1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -183*y - 264. Determine g(-1).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/120 - (0 + 0).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-9642)\/1044*-1 - ((-1572)\/87 - -18).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 18768*h - 7. Let d(a) = -3*a**2. What is r(d(z))?\nAnswer: 9*z**4 + 56304*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 8*j**2 + 6*j - 12. Calculate r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 7*a**2 - 5*a - 13. Determine s(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 20 = 0, y = -y + 4*q - 12. Suppose -o - 18 = -y*m - 173, 501 = 3*o + 3*m. What is the second derivative of 11*z - 2*z - 154*z**3 + o*z**3 wrt z?\nAnswer: 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/21 + 54\/14 - (-364)\/(-117).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/6 - (-2)\/(-6). Let u = -13 + 19. Suppose 0 = -h*j + u + 14. Solve 8 = -0*p - j*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -5, -48, -127, -254, -441?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -771, 1, 0.43, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3743 + 35704 = 0. What is the ten thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5271*t + 4138*t + 33990 = 0 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -37*u**4 - 3*u**2 + 29*u. Let o(t) = 74*t**4 + 5*t**2 - 57*t. Let c(q) = 3*o(q) + 5*y(q). Find the second derivative of c(l) wrt l.\nAnswer: 444*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1)**(7\/2)\/(w**1)**(-31))\/(((w**2*w)\/w)**(-2\/11))**(-20) assuming w is positive.\nAnswer: w**(338\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 + 0 + 0 + (-4*y**3 + 4*y**3 + y**4)*((-2 + 6 - 2)*(3*y - 2*y - 3*y) - 3 + 3 - 2*y + (2 - 1 - 2)*(49*y + 98*y + 13*y)).\nAnswer: -168*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 24*n**2 - 78*n + 7. What is i(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235 - -400. Suppose -4*n - 65 = -5*n - m, -3*n + 3*m + h = 0. Suppose 14*a - n = 9*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 6. Let l be i(6). Let x be -2 - (l + (-4)\/(-1)). Which is smaller: x or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -16. Suppose 0 = 2*r + d - 3*d - m, r - 5*d + 14 = 0. Solve a - 3*s - 5 = r*a, -a - s - 3 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 0 + 0*z**4 + 1\/6*z**3 + 0*z + 1\/120*z**6 + 13*z**2 - 1\/60*z**5. Let o(i) = -i**3 - i**2 + 1. Give 2*l(q) - 2*o(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 minus 141?\nAnswer: -140.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9884 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.36 times 3\nAnswer: -4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((6\/15)\/((-126)\/105)*-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*-15\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.9681 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -14. Suppose -6*a = t - a - 63, 3*t = m*a + 209. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (9 - 0) - 27\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*v - 5, -2*m + 2*v = 3 - 1. Let s(w) = 14*w - 2*w**3 + w**3 + 83*w**2 - 90*w**m + 2. Is s(-10) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) 0 (b) 33 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**4 + 2711*x**2 - 2708*x**2 - 3*x + x to q*x + s*x**3 + f*x**4 + j + n*x**2 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 8 - 32. Suppose -9*l - 2*f - p = -10*l, 3*l - f - 9 = 0. Solve 5*j = -l*i - 12, -2*i + 4*j + 6 = -0*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/2793*21)\/((-1)\/(-19)). Solve -1\/7*g**l + 1\/7*g**3 + 1\/7 - 1\/7*g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -14 + (5 - -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12031 (base 6) to base 14\nAnswer: -8cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119*j**5 + 2*j**4 + 589*j**2 wrt j?\nAnswer: 7140*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 76 divided by 566\nAnswer: 38\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 245, 257, 281, 323, 389, 485?\n\"Answer: h**3 + 5*h + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*q = 599 - 19, 2*x - 5*q = 290. Solve -x*n + 50 = -135*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 576 and 768?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 5*f + 3*u + 295, 3*u = -4*f + 1105. What is the highest common divisor of 40 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 31*k + 12. Let o(q) = -32*q - 11. Let b be 2\/(-2) - 11\/(33\/15). Let y(u) = b*c(u) - 5*o(u). Is y(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 20*s**2 - 4*s + 90. Let g be l(7). What is the second derivative of 50*k**5 + g*k**2 - 526*k**2 - 516*k**2 + 102*k wrt k?\nAnswer: 1000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/31991 (b) -1600 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 38*f**3 - 4*f**2 + 4*f + 1. Let n be p(1). Let s = -33 + n. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 3, 2, -7, -30, -73, -142, -243?\n\"Answer: -h**3 + 5*h**2 - 7*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5915501310 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 15246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26d77 (base 16) to base 2.\nAnswer: 100110110101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020630121 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65720 or -6243472\/95?\nAnswer: -65720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 319.4 and 568.5.\nAnswer: 181578.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875312 is divided by 815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*i**3 + 102*i**3 - 7*i**3.\nAnswer: 159*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 220420280780361 - -1\nAnswer: 220420280780362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4365 + -4370. Sort 4, -391, d in ascending order.\nAnswer: -391, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - -156. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n = 14*n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/(-10))\/((-6)\/(-20)). Let l(t) be the third derivative of 4*t**2 + 1\/120*t**k + 0*t - 1\/24*t**4 + 0*t**5 + 0 + 0*t**3. Factor l(n).\nAnswer: n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 2*q + 22. Let t(g) = -5*g - 911696 + 2*g**2 + 10*g + 911741. What is 5*h(m) - 2*t(m)?\nAnswer: m**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001 + -12221300313?\nAnswer: -12221233312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*l + 7*l. Calculate the least common multiple of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*y - 85*y - 200 = 0. What is the least common multiple of y and 55?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -8. Suppose 2*b + i = -2*g, -4*b + 4 = -3*g - g. Let q(t) = -9*t - 1. What is the tens digit of q(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*v + 16 + 4, 3*a - 3*v = 15. Calculate the highest common factor of 15 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -0.98, -2\/37, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/(-25))\/(-3))\/(28\/(-60))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 - 66. Suppose p*z - 42 = -4*z. Calculate the remainder when 9 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 62056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-6))\/(5 + -6). What is the smallest value in 4, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*n - 90*n + 6693 = 369 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.33 in -8, -153, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1037*t - 5196. Calculate a(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, 8, 13, 18, 23?\n\"Answer: 5*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134 + 136. Suppose 3*b + 5 = 5*g - 15, -3*b = f*g + 13. Put 6, b, 2 in increasing order.\nAnswer: b, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -574*s - 39 = -535*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -19*h + 34. Give c(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/13)\/(6\/12))\/(161\/(-161)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3563 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151737 is divided by 40.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 2*g**6\/15 + 3*g**2\/2 + 8*g. What is the first derivative of y(o) wrt o?\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -959*v**3. Let a be s(-1). Suppose 5*j = -2*o + 1033 - 70, 2*o - a = -j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-162)\/432*8\/(-30)*6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**4\/12 + 7*k**2. Let r(o) be the third derivative of -o**5\/60 - 102*o**2 + 2*o. Give c(r(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4872*h - 4926*h = -1377972. List the prime factors of h.\nAnswer: 2, 3, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -9\/868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 5*n**7\/189 - n**6\/135 - 2*n**5\/9 + 2*n**4\/27 + 11*n + 4. Determine t so that k(t) = 0.\nAnswer: -2, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*((sqrt(11) - sqrt(33)\/(-1*sqrt(3))) + sqrt(11) + sqrt(33)\/sqrt(3) + -3)**2 - (sqrt(88) + -4*(-1*sqrt(88) - sqrt(88)))\/(-2*sqrt(968))).\nAnswer: -4625 + 13245*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i + 0*i - 8*i + i**2 + 4. Let y = 1 - 3. Let m(n) = 8 + n**2 - 3 + 0*n + n. Calculate y*m(g) + 3*b(g).\nAnswer: g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13755488 divided by 1636.\nAnswer: 8408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*w - 22, -m = -5*m + 5*w + 37. Let o = 2049.956 - 2045. Let x = o - -0.044. Which is the closest to -2? (a) x (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 - (-4 - (-190)\/45). Let p(s) be the second derivative of -1\/150*s**5 + 3*s + 0 + 2\/45*s**4 - f*s**3 + 2\/15*s**2. Find t such that p(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {c: 2, v: 4, r: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/12)\/((-4)\/(-12)). Let s = -0.3 + 0.2. Let z = -1\/39 - -83\/195. What is the nearest to z in 4, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 23*s + 7. What is the tens digit of c(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-3)*n)*n**(1\/3)*n*n**(6\/11)*n*n**(13\/2))**(-3\/19))**44 assuming n is positive.\nAnswer: n**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5 = 5*m, 0 = 7*r - 12*r - 20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 4811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 4*v - 68 = 3*k, -84*k + 86*k - 4*v = -32 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 6. Suppose 0 = k - 3, -w*k = 3*z - z + 926. What is z rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2464 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 g when three letters picked without replacement from aaaaaagg?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-192)\/(-160)*(-5)\/32).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -l - 0 + 15, l = 3*x - 9. Let y = 2 + 0. Suppose l*g = y*s + 8, -3*g - s + 2 = -3. Solve 7 + 1 = g*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 9994?\nAnswer: 10\/4997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - f**2 - f + 1. Let g(m) = -3*m**3 - 4*m**2 - 4*m + 6. Calculate -g(y) + 4*i(y).\nAnswer: -y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine halves of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4020 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 j, and 2 p when four letters picked without replacement from jrpjyjpnnyjjrjy.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3912 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 22*y**2 + y - 38. What is q(22)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 6. Let v be w(-6). Let m be (4 - (-880)\/v)*-3. Is 12 a factor of ((-2)\/8)\/(1 - (-234)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 3*w + 1. Let p be u(-3). Let o = 1 + p. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 339232 from -0.0120331268.\nAnswer: -339232.0120331268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 5 - t - 3*t**2 - 2*t - t**3. Suppose -4*l - 3*y = -112, 2*y = 3*l + 4*y - 83. What is the remainder when n(-6) is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(77\/(-44))*(-1)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1128*q - 24 + 44 - 20.\nAnswer: -1128*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f = -27*f + 1224. Suppose n = -4*n. Suppose n = -3*k + 4 - 13, 4*z - 29 = 3*k. Solve z*h - 3 = f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 5. Suppose -13 = -g - v. Suppose -g*s - 105 = -5*s. What is the remainder when s is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 95 - 2?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 divided by -744690?\nAnswer: 73\/372345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 651\/(-62)*(2 + 16\/(-6)). Let d(j) be the third derivative of 0*j + 0*j**3 + 2\/15*j**5 - 1\/60*j**6 + 0*j**4 - a*j**2 + 0. Factor d(c).\nAnswer: -2*c**2*(c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + sqrt(108)\/sqrt(4) + 4 + -5 + (1*(sqrt(216)*-2 + sqrt(216) - sqrt(216)))\/sqrt(8).\nAnswer: -3*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5770 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 5, -11352, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 78 - 23*i**3.\nAnswer: -23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**3\/6 + s**2\/2 + 3*s. Suppose -2 = a - 3. Let c(y) = 2*y**2 - 10*y - 12. What is a*c(j) + 10*z(j)?\nAnswer: 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 7*s**2 + s - 3. Let o be g(-5). Suppose 57 = 3*i + 2*c + 10, -3*c = 3*i - o. Calculate the remainder when i is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7053896 rounded to 2 dps?\nAnswer: -1.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1950\/67 - -530675\/18291. Let k = r - 2\/39. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let k(c) be the first derivative of c**3\/3 + 37*c + 3. Is k(w) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5170 + 7698 - 1118 + 4586)*(1 - j - 1).\nAnswer: -16336*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 2*j - 4. What is the units digit of o(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 0*b + 10*b - 6*b + 4*b + 4*b + (1 + 1 + 0)*(-4*b + 0*b + 2*b) in the form s + k*b and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a day in minutes?\nAnswer: 30960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 3 (c) 0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44007683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 4:50 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 104*m - 131*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 11. Let s(m) = m**2 - 29*m - 112. Calculate the remainder when s(33) is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**6 - 367900*w**5 - w**3 - 71*w**2 - 66245*w wrt w.\nAnswer: -240*w**3 - 22074000*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75551569 to the power of 1\/2, to the nearest integer?\nAnswer: 8692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n = -5*x + 86, -n = 4. Let v(l) = -4*l + 3*l + 4 + 4*l - 4*l. Let t be v(0). Solve 0 = t*z + x - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7795 is divided by 54?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 4*g**2 - 2*g**2)*(-2*g - 1 + 1 + (3 - 2 - 3)*(g - 2 + 2)).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = s + 64. Suppose 4*l - s = 4*c, 0*l - 8 = 3*l + 5*c. Sort -3, 1, l in descending order.\nAnswer: l, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/12 + (-17)\/2100*173 + 0 and -101\/6.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -410*z - 3600. Calculate d(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.031057.\nAnswer: -0.0124228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3806225*g**3*j - 18*g**2 - 5603*g*j wrt g?\nAnswer: 22837350*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5369, -21139, -47417, -84197, -131473, -189239?\n\"Answer: w**3 - 5260*w**2 + 3*w - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 211731 and 1270386.\nAnswer: 1270386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -796952 (base 12) in base 8?\nAnswer: -7315316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 6 + (1 - -1). Suppose 189*z - 204*z + 315 = 0. What is the remainder when 124\/(-6)*(1 - s) is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3120.99+-0.179\nAnswer: -3121.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 3*n + 4. Let g be r(2). Let v(s) = s**2 - 3*s - 3. Let p be v(6). Let l be 12\/(-8)*20\/p. Sort 3, -1, l, g in decreasing order.\nAnswer: 3, g, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 2*g + g - 8*g + 10*g + 2*g + 4*g + 0*g + (0 - 5 + 3)*(g + g - 4*g) to the form i*g + p and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -7*r. Let j be -1 - (r\/(-1) - -1). Is (4\/8)\/(j\/(-148)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1728594 and -4.\nAnswer: 1728590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o**2 - 7. Let j be t(3). List the prime factors of 0 + j - 1\/(-2)*2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/7 (b) -29\/3 (c) 597 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 6*f**2 + f - 11. What is q(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/189 in -3, 1\/3, -0.38, 2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5863?\nAnswer: 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000011111101010 - 10?\nAnswer: 100000011111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -11*x**7\/70 - 7*x**6\/30 + 29*x**5\/60 + 7*x**4\/6 + 2*x**3\/3 + 64*x**2. Find m, given that s(m) = 0.\nAnswer: -1, -2\/3, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -18*j**2 - 23*j - 4407. Let a(z) = 2*z**2. Determine o(a(p)).\nAnswer: -72*p**4 - 46*p**2 - 4407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 65185*n**2 + 976830*n - 2343960.\nAnswer: 5*(n - 13022)*(n - 12)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.15799 + 12.085. What is f rounded to three decimal places?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (594\/(-88))\/(9\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-174)\/33)\/(22816\/(-62744))?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32005138 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -97, -60, 47, 260, 615, 1148, 1895?\n\"Answer: 6*p**3 - p**2 - 2*p - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 1 + 1 - (-33 + 22)) + -81 + -5.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 13374613?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 92705.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 17*p + 22. Let s(v) = 50*v + 67. Let u(a) = -4*s(a) + 11*z(a). Differentiate u(b) wrt b.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2. Let p be 31 + (-3)\/3*3. Let n be (-47)\/(-4) + (-21)\/p. Let i(o) = -3*o**2 - 8*o + 19*o - n*o. Give i(w(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:23 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50417 is divided by 50372?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - j + 3. Let q(n) = -n**2 - 2. Let g be (0 - -3*1)\/1. Let l = 0 + 4. Suppose -l - 6 = -5*k. What is g*q(r) + k*o(r)?\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 46, -0.08, 1\/5?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (100\/(-28))\/(36\/(-21)). Let o = z + -3\/4. What is h in 1\/3*h**2 + o*h + 4\/3 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 14. Let g(s) = -s**2 - 7*s - 2. What is the units digit of g(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*s + 4*c, s - 4*c - 10 = -0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -293.243 - -293. Let w = f + 0.242829. Round w to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 39128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -25add (base 16) in base 4?\nAnswer: -211223131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.25 - -8.35. Let p = -8 + j. Let q = p - -0.9. What is the closest to -0.1 in 0.1, q, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 8:03 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-21)*9\/((-324)\/42).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/18)\/((-216)\/(-162)))\/(3\/(-45)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -62*u + 868. Calculate l(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3162 and 2380.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 749 divide 820800638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 795*b**2 - 12*b - 6. Let p(h) = -799*h**2 + 10*h + 5. What is 5*d(r) + 6*p(r)?\nAnswer: -819*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*s = -3199 - 415 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1338 (base 10) to base 3.\nAnswer: -1211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/(-14) - 420\/(-980).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/15 - 2\/15*t - 2\/3*t**3 + 16\/15*t**2.\nAnswer: -2*(t - 1)**2*(5*t + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212022 (base 4) to base 7.\nAnswer: -10056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -31*s. Let p(m) = -8*m. Determine 9*p(y) - 2*z(y).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jajjiaf. What is prob of picking 3 j and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -16eb?\nAnswer: -16ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2416 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 7*n**2 + 14*n + 6. Let t be h(-10). Let o = t + 612. Suppose -g - a + o = -2*g, 2*g + 370 = -5*a. What is g rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 11. Let p be 104\/26*53\/(-5). Let l = p - -42. What is the third smallest value in b, l, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3639*b + 4. Let l(t) = 239*t**2. Determine o(l(r)).\nAnswer: -869721*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53899835?\nAnswer: 5, 11, 29, 47, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**4 + 6*m**3 - 2*m**4 - 5*m**4 - m - 4*m**3 in the form w + b*m + h*m**4 + u*m**2 + t*m**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22 times -91\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**4 + 4*z - 4. Let k(g) = -2*g**4 + 3*g - 5. Let t(s) = 3*d(s) - 4*k(s). Differentiate t(b) wrt b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20082 divided by -1?\nAnswer: 20082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7463 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*l - 2, -8*k = -3*k + l - 12. Suppose p - 5*u = 4*p - 29, u - 17 = -k*p. Let h = 17 - p. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + 1 - 3 - -17 is divided by -2 + (8 - (-1 - -11) - 16\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/18907400 and -24\/60175.\nAnswer: 548314600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**5\/180 + 5*f**4\/18 + 19*f**3\/18 - f**2 + 82. Factor l(y).\nAnswer: (y + 1)*(y + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -221, -226, -231?\n\"Answer: -5*m - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 23*n + 26*n + 9 = 0, -10 = 4*q + n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-200)\/210)\/5)\/((-6)\/7)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12983.\nAnswer: 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, d: 1, l: 1, p: 2}. What is prob of picking 1 d, 1 l, and 2 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 62 (c) -21 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*o - 504 + 2673 = 3*o - 603 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*l - 2*l. Suppose -2*k = -2*j + l, -j + k - 11 = -4*j. Solve 2*d + 9 = 5*p - 8, -41 = -4*d - j*p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 57, 4 in decreasing order.\nAnswer: 57, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 46*y + 1. Let h(v) = 2162*v + 1. What is w(h(u))?\nAnswer: 99452*u + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*r - 11948 = -49*r - 205*r for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/357*7*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - 3*b + 8*b + (-5*b + 6*b + 7*b)*(-12 + 4 - 4)*(7 + 7 - 4).\nAnswer: -954*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.653\nAnswer: -0.1959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = 44*j - 43*j - 33, 4*j - 3*i = 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1465 divided by 80.\nAnswer: 293\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 8*a**2 - a + 7. Let w be y(-8). Suppose -3*i - 3*c = -5*i + w, -c - 1 = 0. What is the smallest common multiple of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1361 is divided by 409.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 12*u**3 - 5*u**2 - 10*u + 68. List the prime factors of r(9).\nAnswer: 53, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 4)*(-2*r + 0*r + 0*r) + (60 - 29 + 21)*(131 - 131 + 4*r) in the form v + x*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 15*g + 63. Let x(p) = -p**2 - 13*p + 76. Calculate the remainder when x(g) is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 15*b**2 - 18*b + 37. Let p be i(16). What is the second derivative of -1128 + 2*h**5 + 1128 - 14*h**p - 53*h wrt h?\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 23*d + 1. Let v be w(14). Suppose -k + v - 130 = 0. What is the second biggest value in 1\/44, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, c: 18}. What is prob of sequence cmcm?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39, -5, 5, -53?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 126638451?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nln when three letters picked without replacement from {q: 6, n: 2, l: 1, p: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = j - 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15039 is divided by 62?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*(-1010)\/(-21715).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.72 + -0.28. Let t = -0.4821 - 0.0179. What is the second smallest value in t, -3\/8, 2\/17, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-4 - (1 - -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*r + 13*r + 76*r)*(2*r**2 - 3*r + 8*r - r**2) to the form g + s*r**2 + v*r**3 + n*r and give s.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 74243425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 3:52 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 603*o + 19595 + 887 - 2392 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k + 3. Let n = -7 - -4. Let r be g(n). Let s = 84 + 0. What is the highest common factor of r and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 r when three letters picked without replacement from rggrgrrrl.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138291, 138292, 138303, 138330, 138379?\nAnswer: 138456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*n**2 + 49*n**2 - 19*n**5 + (0*n**3 + n**3 - 5*n**3)*(274*n**2 - 603*n**2 + 212*n**2).\nAnswer: 449*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1160)\/(-2175)*30\/4. Let f(d) = 44*d**3 - 4*d. Let y(v) = -v**3 - v. Give q*y(l) - f(l).\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/10125200 and -111\/1637900.\nAnswer: 111377200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29243674, 29243675, 29243676, 29243677, 29243678, 29243679?\n\"Answer: r + 29243673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12193471, 24386943, 36580415, 48773887?\nAnswer: 60967359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6200*g + 12452 = -6178*g. Calculate the remainder when g is divided by 146.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -5, -4, -19, 5 in decreasing order.\nAnswer: 5, -4, -5, -19, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j - 105. Let c be n(-18). Let t be (8 - (-115)\/(-15))\/(c\/36). Solve -t*g - 4 = 2*x + 8, -4*g - 20 = -2*x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**6\/40 + v**5\/60 - 3*v**4\/8 + 5*v**3 - 16. Let k(j) be the third derivative of p(j). Is k(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - (-33)\/6. Suppose -18 = -z*a + 2. Which is bigger: a or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62424 and 25216984.\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, t: 9}. What is prob of picking 1 t and 1 f?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2. Let c(z) = 87*z. Let w(s) = -86*s - 129. Let k(f) = -f - 1. Let a(i) = -129*k(i) + w(i). Let p(h) = -9*a(h) + 4*c(h). What is r(p(n))?\nAnswer: 3042*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29648 and 713296.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*l + 440*l = -7242 - 9019 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 7120*k + 2534720.\nAnswer: 5*(k + 712)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*h - 6 + 2)*(240754 + 549*h - 240754).\nAnswer: -1098*h**2 - 549*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 - -67. Let h be (-6)\/o + (-86)\/(-18). Suppose h*x + 15 = 10*x. Calculate the lowest common multiple of 7 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -101 - 8*l + 52 + 40 + 69. Give g(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {w: 3, v: 6, y: 1, b: 7, k: 2}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 8. Solve -2*v - p = -g, 2*p - 35 = -2*v + 7*p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67211*y**2 + 1589 - 1589.\nAnswer: 67211*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18300494041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1268*a**4 - 1254 wrt a.\nAnswer: -5072*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 964+44\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169129*j + 3*h = -169134*j + 24, 3*j = 2*h - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*2 + (-54610)\/(-10750).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -291511, -291506, -291501, -291496, -291491, -291486?\n\"Answer: 5*g - 291516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, q: 2, m: 2, g: 1, j: 1, i: 4}. What is prob of sequence mccc?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-19)\/(-4))\/(6\/8) and 100\/126 - ((-520)\/70 + 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 574 - 703. Are -128 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27ccc7 + 16?\nAnswer: 280010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (843 - 1180 + 6128 + 34713)*(0*a + 0*a - a**4 - a).\nAnswer: -40504*a**4 - 40504*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59688744 divided by -3?\nAnswer: -19896248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 195.858 to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = y - 3*k + 4, k + 2 = 5*y. Solve 0 = 4*s - 2*s - n - y, 4*n = s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from {t: 3, z: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 10*u - 95. Suppose -b + 257 = -56 - 28. Calculate the remainder when b is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 11*p**2 + 25*p + 192. Is 18 a factor of z(34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 2*h - 1. Let l be s(1). Suppose -2*n - 3*t = -3*n + 89, n - l*t = 91. Let z = -54 + n. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437457674.\nAnswer: 2, 3989, 54833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/176 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*a = -20*a - 6930 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 278\/25 + -809\/75. What is the nearest to 0 in -0.007, v, -2\/13?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -h + 5*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41.9, -0.34, 2\/9 in decreasing order.\nAnswer: 2\/9, -0.34, -41.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143 divided by 11952?\nAnswer: 127\/1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*15\/(10\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -388*g*w**3 + 18*g*w**2 + 36*g*w + 16*w**3 - 12*w**2 + 49292*w wrt w.\nAnswer: -2328*g*w + 36*g + 96*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -2\/21, 0.358, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 739 + 5*d + 736 - 1475.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -59443.004 rounded to the nearest one hundred?\nAnswer: -59400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 461 - 462.175. Let q = -620.474 - -621. Let w = a + q. What is w rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -19815?\nAnswer: 4\/19815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (658 - 1403 - 956)*(3*r - 2*r - 1 + 0).\nAnswer: -1701*r + 1701","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -142?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*6*sqrt(56))\/(((sqrt(343) - (sqrt(343)*1 - sqrt(343))) + sqrt(343) - sqrt(343)) + (sqrt(63) - sqrt(567))).\nAnswer: -180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 15*t + 10. Let j(i) = -2*i**2 - 22*i + 15. Let h(w) = -5*j(w) + 7*z(w). Let o be (6 - -4)*6\/15. What is h(o)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23)\/(-5) + 8\/20. Suppose -2*g = -g - d*y - 14, -5*y = 3*g - 2. Suppose 0 = -11*u + 10*u + 16. What is the smallest common multiple of g and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/5 - 1228212*k**2\/5 - 491286*k - 1228216\/5 = 0.\nAnswer: -1, 614108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 7. Let j be b(6). Let d(l) = 5*l + 5. Let y(i) be the first derivative of -i - 2 - 1\/2*i**2. What is j*d(k) + 4*y(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((-4)\/3)*-1. Suppose y = u*y. Suppose b + 4*r + 24 = 2*b, y = -3*b - 4*r + 120. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((0 + -38)\/(-1))\/(-13 - -6). Which is bigger: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (12 + -15 - -26).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5505 is divided by 786.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 3822973*k\/2 + 1911487.\nAnswer: -(k - 3822974)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1778 - -1742. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -134, -348, -648?\n\"Answer: -43*a**2 + a + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3 + (-14 - (-342)\/27))*-4. Let v(o) = o**3 - 7*o**2 + 8*o + 9. Calculate v(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 5*v - 2. Let w be c(-4). Suppose k = w*k - 358. Suppose 0 = -m - m + k. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -84160911131\nAnswer: 84160911133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-712)\/445)\/((-28)\/(-10))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2928 = -70*q - 247*q + 73*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (6 - (30 + -13)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (13 + -11) - (-14)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 690950731 divided by 953.\nAnswer: 725027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8*c**2 - 23*c - 2. Let t(v) = 8*v**2 + 24*v + 3. Let o(z) = 2*t(z) + 3*u(z). What is the second derivative of o(w) wrt w?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -7*i + 22, -5*v + 104 = -4*i + 132 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -650*g**2 + 3267*g - 8. Determine i(5).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(54) + sqrt(726)*2)\/((sqrt(162) + sqrt(162) + (sqrt(162) - sqrt(162)*2) - sqrt(162) - sqrt(162))*5 - sqrt(162)))**2.\nAnswer: 196\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16068*w + 16247*w - 1 + 1.\nAnswer: 179*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 2)*(41\/22 - (-228)\/(-627)). Suppose 5*a - 153 = 2. Suppose -5*q + 9 = -a. Solve -h*l - q = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 5. Let x be 7\/((-140)\/(-348))*k. Is (-2)\/((-267)\/x - -3) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 2:37 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 553195089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -8. Let x be 12\/66 - (-84)\/22. Which is bigger: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2230\/23 - -97. Is -0.4 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172572, 345147, 517722, 690297, 862872, 1035447?\nAnswer: 1208022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 540 = 156. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 = -0*z + 3*z, 0 = 5*k + 5*z - 5. Let s(y) = 9*y**2 + 2*y + 2. Let o be s(k). Let r = o - 4. Calculate the remainder when r is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 6 (c) -4\/39 (d) -5.3 (e) 7 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/20 - z**4\/3 - 7*z**3\/3 + 2*z**2 - 17*z + 1. Find the second derivative of m(r) wrt r.\nAnswer: 6*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*n**3 + 19439964650*n**2 - 15551971780*n + 3110394360.\nAnswer: 5*(n + 155519718)*(5*n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 5:02 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188376429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33010587149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1247 and 1073?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 504 = -66. Let s be ((0 - -4) + b)\/((-20)\/90). What is the greatest common divisor of s and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 9 - 6 = 5*l, -4*n = -2*l - 24. Let a(c) = -c**3 + 6*c**2 + 2*c + 2. What is the remainder when a(n) is divided by 585\/26 + -7 - -2*(-6)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*n**3 - 37*n**3 - 19*n**3)*(-n + 2*n - 2*n)*(19 - 13 - 13) - n**4 + 0*n**4 - 2*n**4 + (-1 + 2*n + 1)*(0*n**3 + 2*n**3 + 0*n**3).\nAnswer: -265*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 111*y**3 + y**2 + 3*y + 2. Let m(q) = 6*q + 23. Let r be m(-4). Let h be n(r). Sort h, -3, 4 in descending order.\nAnswer: 4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (60 + (-47 - -12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 v when three letters picked without replacement from {s: 4, h: 2, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/5 + 15503*r\/5 = 0. Calculate r.\nAnswer: -15503, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -0.1. Which is the closest to y? (a) -4 (b) 0.5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let q(s) = 1 - 7 + s - 5 - r. Let a be q(12). Solve 4*m = -a - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4319*m**6 - 37627*m**5 + 315*m**2 - 2322*m + 3 wrt m?\nAnswer: 518280*m**3 - 2257620*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*d - 6*d**3 + 4*d - d**3 wrt d?\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 + -3)*6\/(-10). Let w(c) = 21*c**2 - 2*c - 1. Let t be w(o). Suppose 2*m = 3*m - t. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2977\nAnswer: 3\/2977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - -1.8. Let d(r) = -6*r**2 + 19*r - 4. Let s be d(0). What is the nearest to -5 in s, -2\/7, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-8))\/(3\/(-4)). What is the third biggest value in -2, 0, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 59, 49, 0.06, -3\/8, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*-8*(-10 - -11). Let b(q) be the second derivative of -4*q + 1\/4*q**3 + 0 + 1\/4*q**2 + 1\/12*q**u. Factor b(x).\nAnswer: (x + 1)*(2*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 21 = 3*r, 0*s + 11 = r - s. Let i(x) be the second derivative of -x**3\/6 + 5*x**2 - x. Let z be i(r). Solve -z = 2*v + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-3)*306\/(-12). Suppose 7*l + v = 8*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 + 17*i**2\/4 - 20*i + 25.\nAnswer: -(i - 10)*(i - 5)*(i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 76\/6 + 7\/21. Suppose 0*t = -t - 3*m + l, 3*m - 21 = -3*t. What is the greatest common factor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = c - 3*p, 2*p + 1 = -5*c + 43. Suppose -i + 72 + 128 = 4*r, 4*r = -5*i + 1064. Calculate the highest common factor of c and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*h + 174*h + 2 + 638*h - 36*h + 131*h.\nAnswer: 977*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 634720 + -9526112\/15. Let w = 354 + h. Let p = -7\/15 - w. Which is the second smallest value? (a) p (b) -0.1 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 7843.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m - 2*m)*(2*m - 8*m - 2*m)*((-1 - 4 + 3)*(6*m - m - 3*m) + 0*m - 3*m + 4*m)*(5*m + 0*m - 4*m)*(-3 + 6 - 1).\nAnswer: -192*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*k + 5 = 109*k, -5*k = -2*u - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/10 - (-121 + 6\/3). Let j = q - 43. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333196 is divided by 1190.\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 - 294. Let j = 282 - u. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4054315535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 64817*b**2 - 453756*b - 777888.\nAnswer: (b - 64824)*(b + 3)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5 - 16. Let s(l) = -l**3 + 6*l**2 + 9*l + 16. Calculate the least common multiple of s(c) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 5779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2 + 2)\/(-3))\/3. Suppose 10 = 2*t - n. Solve 0 = t*w - 3*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.011 - 0.0028. Let m = h + 0.00963. Round m to four dps.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 11, 0.15, -1, -593 in decreasing order.\nAnswer: 11, 0.15, -1, -2, -5, -593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(304) + 2 + (sqrt(1539))**2 + -5 + 4.\nAnswer: 4*sqrt(19) + 1538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.2345 rounded to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 26. Suppose j - y = -3*r, 3*j - 3*r = -4 + 22. Solve 8 = 4*i - j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6695.21 + 6663. Let v = h - -0.21. Which is smaller: v or 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 + 14*j + 17. Suppose m = 5*g + 30, -2*m - 5*g = 15 - 0. Let d be x(m). Which is smaller: -7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -31*a**4\/6 - 5*a**2\/2 - 3*a + 6. Differentiate v(b) with respect to b.\nAnswer: -124*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5032 - 0.1032. What is the smallest value in 1.2, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 divided by 5\nAnswer: 113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44\/9 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37240 and 504.\nAnswer: 335160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 127, 111, 95, 79?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o*u**2 + 618*o + 90*u**2 + 8*u - 2 wrt u?\nAnswer: 4*o*u + 180*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*h**4 + 1056*h**3 + 8778*h**2 - 440856*h + 2427813 = 0. What is h?\nAnswer: -103, -97\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 19*w**2 + 18*w + 19. What is the remainder when 73 is divided by n(-18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**5\/20 + 2*p**3\/3 + 6*p. What is x in v(x) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1971*j - 17127. Determine c(-9).\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16833, -4, -2, 3, -5.\nAnswer: -5, -4, -2, 3, 16833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3945626 weeks?\nAnswer: 238631460480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**7\/1575 - 7*j**6\/450 + 22*j**5\/225 - 2*j**4\/9 + 4*j**2 - 14. Factor x(t).\nAnswer: 2*t*(t - 10)*(t - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 8*p + 11. Let o(v) = -10*v - 3. Let h be o(-1). Let a be y(h). Suppose -5*c - 55 = -5*u, -4 = 3*u - a*c - 39. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007949 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 40. Suppose r - 30 - j = 0. Calculate the remainder when r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4420646983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 192*d**3 + 1872*d**2 - 5184*d.\nAnswer: 4*d*(d - 36)*(d - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*r**3 - 1 + 18*r**3 - 2*r**2 - 17 - 34*r**3 wrt r.\nAnswer: -6*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -27. Let a = -39 - -81. Let d = a + h. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3734 + 3732. Let n = -0.2 - -0.7. Which is the closest to 2\/9? (a) n (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, q: 5, z: 2}. Give prob of sequence ppp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - z - 5. Let q be s(3). Solve 2*f - q = 5, -4*f - 8 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*s - 27. Solve -5*k = -0*j - 3*j - 4, 5*k = -4*j - s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-4796)\/22) + -114.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 5:58 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 83387.1 rounded to the nearest one hundred?\nAnswer: 83400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4 + 1695*l**3\/4 + 19469*l**2\/4 + 21657*l\/2 + 5562 = 0. Calculate l.\nAnswer: -412, -9, -2, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-17\/2)\/w)\/w**(1\/7) assuming w is positive.\nAnswer: w**(-135\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sumwuuw. Give prob of sequence muws.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303 (base 7) to base 15.\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5082 - -5141. Solve 0 = -62*y + j*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 184*l - 23. Let x(t) = 23*t - 3. Let r(j) = -3*a(j) + 23*x(j). Let v(i) = -45*i**2 - 43008*i + 41*i**2 + 43008*i. Calculate r(v(b)).\nAnswer: 92*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - 9 - 5*-1. Sort 1, -6, t, -5 in descending order.\nAnswer: t, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.99, 0, 0.3, -55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggyiiymgiiiggigiii. What is prob of picking 1 m and 2 g?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/1077 - -5143\/1436. Find the common denominator of z and 43\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/21 + 1*2\/(-2)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -28. Which is the fourth smallest value? (a) m (b) 3 (c) 0.2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 8, 84690407, -3\/2 in increasing order.\nAnswer: -3\/2, -0.3, 8, 84690407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 <= -1794\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 921, 1718, 2787, 4158?\nAnswer: 5861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 17. Let r be (8\/12)\/(2\/x). Let z(k) = 7*k + 2. Let v(q) = 9. Let b(y) = -3*y + 53. Let m(h) = b(h) - 6*v(h). Determine r*z(u) + 5*m(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m - 14. Let j(z) = -z - 6. Let t be j(m). Let o(f) = -f + 2. What is the units digit of o(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90839490697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -2\/51115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2302.3 * 0.01844.\nAnswer: 42.454412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4662 is divided by 846.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -12*f**2 + f + 2. Give x(-3).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 8848654?\nAnswer: -1\/4424327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 7*j + 2*j)*(-5*j - 2*j + 4*j - 2 - 7*j + 2 + (-1 + 3 + 0)*(4*j + 3*j - 5*j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**3 - 11*u + 0 - 1\/2*u**4 + 0*u**2 - 1\/10*u**5. Let l(c) = -6*c**3 - 17*c**2 - 17*c. Calculate -6*l(h) + 17*t(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 4067 and 4067 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82.5 + -76. Let h = -17 + b. Let z = -10.50408 - h. What is z rounded to 4 dps?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1fa (base 16) to base 8\nAnswer: -772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - w. Let b be n(-1). Suppose b*p - 5*x + 5 = 3, 0 = -2*x + 2. Suppose -3*j + 23 = -p. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:58 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 37, 3, 4, -3 in descending order.\nAnswer: 37, 4, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 777822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -152 - 153 - 637*u**2 - 1073*u**2 + 305 - u**2 + 4 - 4 + (2*u - 5*u + u)*(-2*u - 5*u + 5*u).\nAnswer: -1707*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 65414 (base 10) in base 7?\nAnswer: 361466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from ggdxgxxixg?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by (-6)\/(-2)*(-4256)\/(-399)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(78)*2 - sqrt(78)*-2*-3)\/(3*sqrt(30)\/sqrt(5) - sqrt(72)\/(sqrt(12) + (sqrt(300) - sqrt(12)))))**2.\nAnswer: 2925\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 96 + 56 = -3*n, -5*a + 5*n = 50 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.4 (b) 4\/5 (c) 2\/3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.3 (b) 1 (c) -2\/9 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6541613194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d + 7. Let k(g) = -3*g + 7. Determine 6*k(r) - 5*o(r).\nAnswer: 2*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -2*p - 21 - 2\/3*p**3 + 0*p**2. Let y(q) = 14*q**2. What is y(d(z))?\nAnswer: 224*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllellllllellel. What is prob of picking 1 l and 1 e?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a + 1. Let c be s(-4). Suppose 0 = -5*h - c - 3. Let k = 14 + h. Calculate the remainder when 28 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, p: 1, a: 7, z: 2}. What is prob of picking 1 z, 1 a, and 1 m?\nAnswer: 49\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5 - 14010*f**4 + 2525645*f**3 + 2567670*f**2 - 5079304*f = 0.\nAnswer: -14188, -2, 0, 1, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -73*i**3 - 5*i**2 - 25*i - 245. Is g(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhr when three letters picked without replacement from {r: 2, p: 1, u: 1, h: 9, m: 7}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**3 - 31*l**2 + 53*l - 31. Determine a(7).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35d1 - -14?\nAnswer: 35e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2. Let i(j) be the first derivative of -1\/2*j**2 + 37 + 0*j. What is n(i(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*z = -2. Let w = z - 1. Solve w = 5*l + 8 - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20102 (base 6) in base 4?\nAnswer: -221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 2019992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 65908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**5 + 2*t**3 + 7*t**2 - 5. Let m(u) = 3*u**5 - u**3 - 6*u**2 + 4. Let z(f) = -4*i(f) - 5*m(f). Factor z(b).\nAnswer: b**2*(b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*o = 10, -4*o - 392 = g - 387 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18191*i + 16636*i + 3243*i to o + k*i and give k.\nAnswer: 38070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*f - 26, -2*j + 5*f + 55 = 3*j. Let y(b) = 2 - 15 + 9287*b - 5. Let o be y(j). Round o to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 1\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-12) - 11397\/(-84). Let h = -135 + j. What is the third smallest value in -0.5, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3675\/20)\/((-3)\/(-8) - 0). Round w to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 434.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155092899\/85 - 1824576. Let v = -222\/5 + p. Which is smaller: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**2 + 20*y - 2. Suppose 19*m - 27*m = -264. What is the remainder when p(-11) is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5156899608336 + 5156893930890.399943. Let h = a + 5677448. Let f = 2.4 - h. What is f rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.77 in -5307, 0.01, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 162228600 rounded to the nearest one hundred thousand?\nAnswer: 162200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164)\/574 - (-9737)\/637?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from {w: 3, j: 1, a: 1, e: 2, p: 3, l: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/14*(-297409)\/(-3738856)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5 + 23\/5*w**4 + 0 - 44\/5*w**2 + 24\/5*w - 10*w**3 = 0.\nAnswer: -6, -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 - 94.3. Put r, 1\/8, -2 in descending order.\nAnswer: r, 1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*k + 4*k. Suppose v - k = -1. Suppose -5*u + v*y = -167, -1 = 3*y + 2. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2300211 (base 4) to base 2\nAnswer: -10110000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*223.0514.\nAnswer: 892.2056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) + (-194)\/(-7). Suppose -18 = 4*w + 14. Let t = r + w. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24\/5 in -17, 1\/2, 2, -5513?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 75, 111, 147, 183, 219?\n\"Answer: 36*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 598 * 2277.\nAnswer: 1361646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3194, 3, -2\/11 in decreasing order.\nAnswer: 3, -2\/11, -3194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -970981 or -14\/5?\nAnswer: -970981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 3*f - 6. Let q be v(-5). Let i(c) = 5*c - 2*c**3 + 0 + c**3 + 5*c**2 - 2 - 3. What is the tens digit of i(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 4 - 58 = 0. What is the nearest to j in -5, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12099387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (16\/(-4))\/(-1). Suppose -32*g + 29*g = 6. Let w(c) = -c**2 - 2*c - 3. Let l(m) = 4*m**2 + 8*m + 13. Calculate g*l(y) + v*w(y).\nAnswer: y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Convert 842 (base 14) to base 11.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 225, 2 in descending order.\nAnswer: 225, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z = -125. Let p be (-10)\/4*20\/z. Solve -2*t - 2*c = -0*t + 8, 3*t - p*c = 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/(-21) - (-10)\/35?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146*j**5 - j + 78.\nAnswer: 2920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 58. Factor 2\/3*k**4 + 8\/3*k + 2\/3 + 8\/3*k**3 + 4*k**r.\nAnswer: 2*(k + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -586254 - -548?\nAnswer: -585605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -184.89 + 190. Let t = -0.11 + y. Which is the third smallest value? (a) t (b) -0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 15*g - 5. Let z(x) = -8*x + 3. Let o(l) = -3*c(l) - 5*z(l). Let v(j) be the third derivative of j**4\/12 - j**2. Give v(o(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcb when three letters picked without replacement from {m: 5, c: 6, i: 2, t: 2, b: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxustsi. Give prob of picking 1 t and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/12 + 3*f**2\/4 + 5*f\/4 + 7\/12 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*z = 13918066 + 4626597. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 177*n + 539. Let w be z(-3). Solve -7 = -3*b + 7*p - w*p, -5*b = 3*p - 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*y + 3 = 1, 5*u + 5*y = 5. Suppose 5*o - 74 - 61 = u. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -82 + 236731?\nAnswer: 236649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-1) + (3 - 3). List the prime factors of (d\/2)\/(2\/8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let v be (-39)\/15 + (-15)\/(-5). What is the closest to -1 in -0.4, v, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -9*o + 7*o + 8, -14 = -5*x - 4*o. Let z(u) be the third derivative of 2*u**x - 1\/80*u**5 + 0 + 0*u + 1\/480*u**6 + 0*u**3 + 1\/48*u**4. Factor z(t).\nAnswer: t*(t - 2)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 41*k**5\/60 - k**4\/24 - 2*k**2 + 9. Let w(z) be the first derivative of -2*z**3\/3 - 50. Determine p(w(n)).\nAnswer: 164*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 7.36, 1\/2 in descending order.\nAnswer: 7.36, 1\/2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 67, -4\/3, 150, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10.8 in -0.0258, 21, -1\/6, 2, -1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a factor of 2623318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 + 287. Let a(o) = o**2 - 5*o - 29. Let m be a(-5). Calculate the highest common factor of u and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**3 + m**3 - 4*m**3)*(-4 + 1 + 4 + (-2759 + 1511 + 1453)*(1 - 2 + 3)) to s*m**2 + a*m**3 + r + n*m and give a.\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2*o + 15 + 13 = 0, 0 = -3*z - 5*o - 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 3 + 4 - -20. What is the greatest common divisor of s and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10.6, -4\/7 in ascending order.\nAnswer: -4\/7, 3, 10.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**0\/u)*u*(u*u**(-2))\/u)\/(u\/(u*u\/u**(-4)*u)*u\/(u*u**(-2)*u)))\/(u**(1\/6)*u**3*u**5\/u*u*u\/(u*u**(-2\/5))) assuming u is positive.\nAnswer: u**(-77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 7, -0.03, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10624, 10626, 10628, 10630?\n\"Answer: 2*x + 10622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 68?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3 - (61 + -67)) + 8 - 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 13, v: 6}. What is prob of sequence vvv?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugyygrppgpgggoogyrgg. Give prob of sequence pgu.\nAnswer: 3\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4665904 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -45375 - (-1 - -1)\/(-2). Let u = -112775 - t. What is u rounded to the nearest 1000?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**21\/(a*a**(-2\/5)*a)*(a\/(a\/(a\/a**(-3\/7))))\/a**(4\/7) assuming a is positive.\nAnswer: a**(709\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 68, 73?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -17 (b) 0.6 (c) -15\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - g + 4, -g - 4*g = -20. Let z = 10 - w. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2)**(-41)*s*s**(3\/5)*s\/(s\/(s\/((s*s**9*s)\/s))) assuming s is positive.\nAnswer: s**(-447\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 95 - 305. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -588621 by -11.\nAnswer: 53511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3 + 6*n**2 + 11*n + 6 = 0. What is n?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + w + 4*w + 444, -224 = 2*h + 2*w. Let o = -71 - h. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1024 - 1021. Suppose -5*i + 2*v = -0*v - 23, -2*v + 12 = 2*i. Put i, a, 3\/2 in increasing order.\nAnswer: 3\/2, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 10 = 3*n, 5*n - y - 1342 + 1328 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 + 10*v - 10*v + 6*v**2.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 20*g + 48*o - 43*o = 16*g - 326, -g - 37 = o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 1. Let i(y) = -y. Let p(b) = -i(b) + o(b). Determine p(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 9. Suppose 17 = -4*p - 0*p + 5*s, -s + 4 = -p. Let r(x) = -x**2 + 2*x - 2. Let i be r(p). Let l be h(i). Solve -2*a = -6*a + l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-4)\/14) - (-722211)\/98889. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*o = 232*o + 6, 3*c - c + 4*o + 22 = 0 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -14\/19, 8, 3, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (5 - 3)) + (0 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 636.42 in -10, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 - -100.5. Let v = -31 - -34. Which is the biggest value? (a) 0.2 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 664*k*r*v**2 - 453*k*r - r*v**2 + 3859452*v**2 wrt k.\nAnswer: 664*r*v**2 - 453*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.8007l in millilitres?\nAnswer: 856800.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s + 1165*s - 232*s + 4925 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230\/3 - 76. What is the closest to w in 2, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/138*53\/((-54431)\/237)\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121\/163 at least as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u - 1. Let c(x) = -5*x + 4. Let m(h) = -h + 13. Let q be m(11). Let a(l) = 0 - 3 + 0 + q + l. Determine u*c(n) + 4*a(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -35*r - 992. Let j be h(-64). What is the highest common divisor of 39 and j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**2\/2 + 490*x + 815. Let d(b) = 3*b**2. What is k(d(n))?\nAnswer: -3*n**2 + 490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*q - 20 = 0, -34 = 2*m - 6*m + 5*q. Let a be (m\/(-4))\/((-8)\/(448\/12)). Solve -5*r - 15 = -5*v, -v - 2*r + 15 = -a*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 92?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 12. What is the units digit of w(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1148*s - 2034. What is the tens digit of v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10524291 is divided by 3508083.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-10))\/((-36)\/(-120)). Suppose 49 = 3*c + 4*x, -x - 3 = -4*c + 56. Solve i*v = -v - c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q. Let i be y(0). Solve -3*w + i*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 - 34 - (0 + 2 + 3 + 5)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*(8\/6)\/(6\/9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 1. Let k be (1738\/66)\/((-1)\/(-3)). Suppose -5 = r - 5*p - 0*p, 0 = -5*r - p + k. Let h = -13 + r. Give i(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8882, -9012, -9034, -8894, -8538, -7912?\nAnswer: -6962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/5 - 468*r\/5 - 466\/5 = 0. Calculate r.\nAnswer: -233, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*y - 2*l, y + y = -5*l + 11. Let x = -2 - y. Which is the second biggest value? (a) -1 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4363, -0.3, 3\/2, -1\/2, 4, 1\/10?\nAnswer: 4363","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - 132\/(-5))*10\/(-68)?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 426 = o - 4*o, -416 = -5*y - 2*o. Does 8 divide (48\/(-28))\/((-2)\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-31948)\/(-33957) - 1\/(-11) and ((-249)\/(-12))\/((-99)\/(-12)).\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 - (-17)\/36. Let g = 401\/6 + -68. Let p = g + 23\/30. Which is the closest to p? (a) 0.2 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10966144 and 93?\nAnswer: 1019851392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11b - 15234?\nAnswer: -15115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7230*j**3 - 4819*j + 2406*j + 2413*j - 14743*j**3)*(2 - 2 - j + (2*j + 1 - 1)*(1 + 2 - 1) + 3 - 3 + 2*j).\nAnswer: -109865*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**3 + 4*o**2 + 4*o - 11. Let j = 54 - 60. Is y(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 22 = -5*o, -4*g - 5*o + 1 = -25. Suppose g = 5*x - 6*x + 4*m, 41 = x + 5*m. Let u = -5 + x. What is the highest common divisor of 44 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-12))\/7*(-15)\/60*-12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 185709 and 4017?\nAnswer: 2414217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33533 - -5?\nAnswer: -33525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 938 and 903938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-448)\/(-208) + 4\/(-26). Solve -r + 1 = k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0*m**6 + 0 + 0*m**3 + 0*m**5 + 0*m + 3\/8*m**4 + 9*m**2 + 1\/105*m**7. What is the second derivative of l(k) wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-1))\/(3 + -4). Let w = b - -3. Suppose w*r - 10 = 2*i, 6*r - 36 = 2*r - 3*i. What is the remainder when 10 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1246681 to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9339 and -588.\nAnswer: -9927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.35489l to millilitres.\nAnswer: 61354.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 286792907 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/37)*q**(3\/5)*(q*q*q\/q**(4\/5))\/(q\/q**15) assuming q is positive.\nAnswer: q**(3118\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819486718 is divided by 7904?\nAnswer: 7902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655 is divided by -2 + 112\/70*20.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-812)\/1827*43650\/200?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 4*u - 6*q - 11, 1 = -u - 6*q for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-140)\/(-21))\/10)\/(4\/(-18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11741465 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**2\/7 - 2*w\/7 - 3\/7 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35018515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 5*n - 17. Let b be c(-10). Let j = b + -39. Let o(s) = s**3. Let k(m) = -5*m**3 - 6*m**2 - m + 1. Let l(t) = -k(t) - 4*o(t). Determine l(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 364884 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2493*b = 86791 + 32873 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 11:11 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from {u: 7, i: 7, y: 3, a: 2}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 270*t + 306 + 583 + 731 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 22 = 5*b. Calculate the smallest common multiple of 5 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 0 + 0 + (14 - 3 + 3)*(-13*o - 11*o + 6*o).\nAnswer: -251*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 609.7054 rounded to the nearest 10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 4\/(8\/20 - 0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4 + 27*t - 9*t + 0*t - 13*t - 6*t. Give w(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -2*s**6\/15 + 666*s**5\/5 - 111553*s**4\/3 + 147408*s**3 - 220448*s**2 + 2*s - 2203. Find d such that a(d) = 0.\nAnswer: 1, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n + 15. Let v(s) = s + 3. Let a(j) = c(j) - 5*v(j). Let p(m) = -5*m**2. Give p(a(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**10\/((s\/((s*s*s**0\/s)\/s))\/(s*s*s*(s*s\/(s\/(s**(-1)\/s)))\/s*s*s))*((s**(-4\/3)\/s)\/s**(-3))**(1\/4) assuming s is positive.\nAnswer: s**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.537 + 0.397. Suppose 0 = 2*p + 1 - 3. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufffpuuffxfaauuuuxfa. What is prob of picking 1 f and 2 a?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*s + 6. Suppose 4*m = -0*m + 2*v - 2, m - s = -2*v. What is the second derivative of 0*r**m - r**2 + 2*r - r**2 + 0*r**2 wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-4) - 121*48\/(-32)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*m = 6641, -5*m + 3 = 8. Suppose 5*d - 7*d - 5*a = -r, -4*a = 5*d - 8265. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from rergeqeqe?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:05 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-5 + 3\/1). Let a(s) = 10*s**m - 6*s**2 - 2*s - s + 2. What are the prime factors of a(3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23836 and 2077272?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-18\/11))\/k**(-10))**(-50) assuming k is positive.\nAnswer: k**(-5150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-252))\/(76\/(-114)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3))**(1\/24))**(-2\/43) assuming f is positive.\nAnswer: f**(1\/1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*v = -55, 3*l - 192 = -l + 2*v. Suppose 6*k = 215 + l. Let o = -1085 - -1167. Calculate the remainder when o is divided by k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107688 and 80035260?\nAnswer: 7692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957513 is divided by 478590?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -94c72c (base 14) to base 16\nAnswer: -4cba44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 4, g: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 7*c**3 + 4*c**2 + 12*c.\nAnswer: c*(c - 6)*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 divided by 1?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4488\/10 - -1 - (-8)\/40. Suppose s = -15*w + 24*w. What is the greatest common divisor of w and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*t - 10*t**2 + 87*t.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 - 207713*x**2\/2 + 5400031*x - 70198206.\nAnswer: (x - 415374)*(x - 26)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22e - -12?\nAnswer: -21c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 10*q**2 - q + 14. Let o be w(10). Let s be 3\/(-6) + 2\/o. Which is greater: s or -9\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(15) - sqrt(1500)*-2) + sqrt(15))\/(sqrt(80)\/sqrt(4)))**2.\nAnswer: -44*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = z - 12. Suppose -2 = -f + 5*p - 8, 4*p = -3*f + z. Solve -f*v = 14 + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + w + 2*w**2 + (0*w + 0*w - 2*w)*(2*w + 2*w - 2*w) - 3*w**2 - 4*w**2 + 4*w**2 - w + 2*w**2 + w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91980 by -22995.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24971?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5873412345 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109686 + 766560\/7. Let o = -175 - r. Find the common denominator of -19\/4 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2 + 7122*k - 754784 = 0. Calculate k.\nAnswer: -3664, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 5*p - 1. Let l be c(-4). Let r(m) be the first derivative of -m**2 - 2*m - 5. What is r(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2288639898 to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rve when three letters picked without replacement from vrrrrjerrrrevrjejr?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Let r = 1.7 - 0.9. Let s = r - 1. Which is the closest to f? (a) s (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134 - 135. Let q = -1\/2 - -1. What is the closest to z in q, -3, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.17285 + -0.03465. What is c rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1440*i**3 + 55638*i + 168151543 with respect to i.\nAnswer: -4320*i**2 + 55638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28776\/7 - -4118. Calculate the common denominator of u and -35\/247.\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -20*o - 58 + 73 - 39 + 67*o. Is j(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037073 to three decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = g + 3*c, -4*g = -2*c + 10 - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 489 + -10267\/21. Sort 5, 0, c.\nAnswer: 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.127 + 0.026\nAnswer: -0.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96d4 (base 15) in base 2?\nAnswer: 111110010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/432)\/(2\/(-8)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 1 - (-5 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - -4 - -10 - 7\/(6 + -5).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 + 16*w - 22. Let h(q) = -2*q**2 + 11*q - 15. Let m(p) = -7*h(p) + 5*l(p). Give m(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 28*j + 28. Let m(t) = -t - 1. Let w(d) = -156*m(d) - 6*p(d). Calculate the lowest common multiple of 130 and w(-2).\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 5:12 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.97 - 14.28. Let g = 178.11 + a. What is g rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/115 and -34\/9?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122\/183*6\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -16, -0.05, 2\/7 in descending order.\nAnswer: 2\/3, 2\/7, -0.05, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let n(s) = -2*s + 1. Let m(h) = 4*f(h) + n(h). Give m(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13202630 divided by -35.\nAnswer: 377218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-4))\/((-4)\/(-48)). Let w = r - -11. Solve -d = -3*d + w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205335928 divided by 2?\nAnswer: 102667964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-68)\/(-20))*-5. Let l be 2 - (-6207)\/6*w. Suppose -5*c = -l - 2034. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**4 - 3 + 3)*(-13 - 18 + 1) to y + i*w**4 + r*w**2 + x*w + n*w**3 and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 9*v + 15 = 5*m, 2*m = v + 9. Let y(b) = b**2 + 1. Let d be 30\/(-5)*(-2)\/(-6). Let a(h) = -4*h**2 - 4*h - 2. Calculate d*y(i) + v*a(i).\nAnswer: 2*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {s: 1, d: 1, g: 2, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-132)\/28 + 900\/11550. Factor 18\/11*o - f - 14\/11*o**2.\nAnswer: -2*(o - 1)*(7*o - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-334)\/(-167)*(-7)\/42.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -214*c**4 + 432*c**4 + 2 - c - 216*c**4 - 4*c**2 to the form q*c**2 + d*c + k + j*c**4 + u*c**3 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 20 = 2*v. Suppose 0*u = -2*u - 2*l - 6, -4*l = 0. Let x = u + v. Put x, -4, 3 in decreasing order.\nAnswer: x, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 433, 3265, 7987, 14599, 23101, 33493?\n\"Answer: 945*a**2 - 3*a - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*g + 17, g + 5*q = 9*q. Suppose 0 = c - 4 - 0. Calculate the highest common divisor of c and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -153*u - 18. Let l(x) = -47*x - 5. Calculate -17*l(c) + 6*t(c).\nAnswer: -119*c - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 13, b: 6}. Give prob of sequence kkbb.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 - g**3 + 3*g**2 + (-g**2 + 2*g**2 + g**2)*(g + g - 3*g) + (6*g**2 - 4*g**2 + 2*g**2)*(-g + g + g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**2 + 12*p - 7. Determine o(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -4 in decreasing order.\nAnswer: 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:53 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 < 0.2851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.008 * 0.028.\nAnswer: -0.000224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 886339*x**2 + 181134 with respect to x.\nAnswer: 1772678*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(121)*-6*1*3)\/((-2*-1*sqrt(275) - sqrt(275)) + (sqrt(275) - ((sqrt(275) - (sqrt(275) - sqrt(275)*2)) + sqrt(275)))*-6))**2.\nAnswer: 14256\/4225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003893655 rounded to seven dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -179016.56 rounded to the nearest 10?\nAnswer: -179020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/2, -519, 12, 3, 1, -13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -16. Let l = x - 7. Solve l = -s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 2*q. Let k be i(-3). Let c(r) = 9 - k*r - 5 - 4. Let y(f) = 2*f. Calculate y(c(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 90965, 363849, 818645, 1455347, 2273949, 3274445, 4456829, 5821095?\n\"Answer: -f**3 + 90962*f**2 + 5*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.2 (b) 0 (c) -12 (d) 33202\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 11*y - 14*y + 2*y**2 - 89 + 5*y**3 + 25*y + y in the form o*y**3 + z*y**2 + i*y + l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0*n**4 + 0*n**2 - 4*n - 5\/6*n**3 + 0 - 1\/10*n**5. What is the second derivative of r(j) wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*m - 463 - 402, -701 = 4*v - 5*m. Let n = 243 + v. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10728016, -10728014, -10728012?\nAnswer: -10728010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-1))\/(63\/9)*-3. Which is the nearest to z? (a) -2\/7 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -5 + (4 + 0 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3000) + sqrt(3000)*-4)\/sqrt(6).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzi when three letters picked without replacement from jijiijijzjidijiidij.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -759, -757, -755, -753?\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 221 = m, -4*p - 5*m + 1276 = 356. Solve 35 = 2*y + 5*s, -p*y = -224*y + 3*s - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3996*s - 450 = 4071*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axa when three letters picked without replacement from {x: 5, a: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 4:34 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24256 (base 7) to base 12\nAnswer: 37a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbd when three letters picked without replacement from {b: 2, n: 7, d: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10a907 (base 14) to base 4\nAnswer: 2022123323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -4 in increasing order.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1398577 - 962826. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 4617.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-6) - -3)*(-34)\/102. Sort 1, 41\/2, v in ascending order.\nAnswer: v, 1, 41\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*-3)**2 - sqrt(5))*6 - (sqrt(500) + -5*sqrt(500)*1)**2.\nAnswer: -6*sqrt(5) + 19000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 250 + -235. What is the highest common factor of 120 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 10. Let f(x) = -2*x - 25. Let t be f(-13). Let l be -3*1\/(-6)*t*-2. Sort a, l, -3.\nAnswer: a, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 6. Let n(i) = 5*i - 5*i - i + 3*i - i. Calculate n(j(f)).\nAnswer: -f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 7, 1, -9?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0\/i)**(-12))**(-48)\/(((i*i\/((i*i*i*i**0*i*i)\/i))\/i)**(-6\/5)*i**(-2\/21)\/(i**3\/i)) assuming i is positive.\nAnswer: i**(-158\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 613*s**2 - 145*s + 75*s - 607*s**2 + 72*s.\nAnswer: 6*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 16 = 2*b, 2*p - b = -3*b + 4. Let c = p - 0. Solve 4*v - 9 = 5*s - 1, -c*v = 5*s - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14432 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 102\/5023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*q = -3*p, -4*p + 14 = -2*q. Suppose -33 = -q*d - 0*d. Solve f - 7 = -l - l, 0 = 2*f + l - d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 20. What is the units digit of (-20 - -2)\/(d\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -352 - -357. Let o(w) be the first derivative of -15\/4*w**4 - 5 + 0*w - 9\/5*w**s - 1\/2*w**2 - 7\/3*w**3. Find i such that o(i) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1894650325?\nAnswer: 5, 2129, 35597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4)*3)\/(((-339141)\/43976)\/(-473))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1376666?\nAnswer: 2, 688333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29550056*o**5 - 2*o - 47542834 wrt o?\nAnswer: -591001120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 920 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 616, 1355, 2380, 3685?\nAnswer: 5264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 5*q**2 - 6*q + 3. Let h be y(-6). Suppose 2*w = h*l - 18, -3*l + 2*l - w + 1 = 0. Solve 0 = l*j + 9 + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 5*b + 6. Suppose -5*q + 74 = -36. Suppose -4*l + 4 = 4*g, 2*l = -g + 5*g - q. Calculate z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0.0132, -2\/19, 1\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5 - 92*s**4 + 444*s**3 + 1404*s**2 - 4320*s - 5184 = 0.\nAnswer: -3, -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610*k + 611*k - 4*g = 9, 4*g + 49 = 9*k. Let p(y) = 2*y**2 + 1 + 2*y**2 - y**3 + 2. What is p(k)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**3 + 3*g**2 + 8*g + 7. Let c be q(-1). Let t(k) = 0*k + 5*k**2 - 4 - 2*k + 2. Let s be t(c). Calculate the highest common factor of s and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -524 - -519. Let p = 95.9 - 96. Which is the third smallest value? (a) i (b) p (c) 8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.5 + 17. Let y = 0.5 + x. Let f(p) = p + 2. Let m be f(2). Which is the smallest value? (a) m (b) -1\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125333.6 litres to millilitres.\nAnswer: 125333600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -99 (c) 0.1354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 bigger than -137\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -324.63059 rounded to 1 dp?\nAnswer: -324.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*d + 2*j - 8, 5*d + 10 = -2*j. Let z(r) = -2*r**3 - 2*r**2 - 3*r - 3. Calculate the remainder when 31 is divided by z(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1422 and 47\/218830?\nAnswer: 1969470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28519897.\nAnswer: 7, 17, 443, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 63*k**3 - 6*k**2 - 7*k + 2. Let a(l) = 126*l**3 - 13*l**2 - 15*l + 4. Determine 6*a(i) - 13*s(i).\nAnswer: -63*i**3 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150679600 and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 19, -105\/4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 12, -a - 1 = -4*s - 5. What is the derivative of 5*q - 5*q + 15 + s*q - 4*q wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a kilometer in meters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -288 + -1169?\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = 0, 26 = j - 2*m + 6. 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: Calculate prob of sequence qevv when four letters picked without replacement from {v: 3, r: 1, q: 5, l: 1, n: 1, e: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7)*-1 + -4) + -6*(-4 + sqrt(112)).\nAnswer: -22*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17357 less than -96?\nAnswer: -17453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n + 2. Let b(p) = 5*p + 2. Suppose -12*d = d + 546. Let u = 46 + d. Give u*m(y) - 3*b(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2412337161.\nAnswer: 3, 13, 7643, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124019 is divided by 179.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 3*n**2 + n - 1. Suppose -25 = -3*q - 4*w, -5*q = -2*w + 1 - 8. Let m be p(q). Suppose -m*c - 122 = -648. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 73. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - k**2 + 2*k**2 + (k + 0*k + k)*(-3*k + 3*k + 2*k) - k**2 + 12*k**2 + 7*k**2 + 16*k**2 + 5*k**2 + 0*k**2.\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -17*g - 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/4 - 12*y**3 + 153*y**2\/4 - y - 51 = 0. Calculate y.\nAnswer: -51, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3712 is divided by 120.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 3:45 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 2:22 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 2530*o**6\/3 - 930*o**2 + o - 11586. What is the second derivative of l(z) wrt z?\nAnswer: 101200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 4 = -3*u + 11*g, u + 3*g = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 - 2*r**3 - 3*r**3 + (-25*r + 166 - 86 - 81)*(-2 + r**2 + 2) in the form z*r**2 + m + p*r + l*r**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134 (base 8) in base 10?\nAnswer: -604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6383908?\nAnswer: 2, 17, 269, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/44 in 0.5, 4, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4051764344 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * -38.7.\nAnswer: 1199.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2612926 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 3:42 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(4))\/sqrt(4) - (-1*sqrt(3) + 1) - -1*sqrt(108)*-2)**2.\nAnswer: 20*sqrt(3) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9*-9)\/((-1)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3141*x + 4*j = -3142*x + 28, -2*j = 5*x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -726.007 - -728. What is j rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n - 280 = 98 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x + 31. Let t be s(-5). Suppose -t*o - 10404 - 4008 = 0. Let n = -218579\/91 - o. Is 1 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 92.3 from -296.73.\nAnswer: -389.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5266 is divided by 1317.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000021325 to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4}. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nykb when four letters picked without replacement from {y: 7, n: 1, k: 5, q: 2, b: 1}?\nAnswer: 1\/1248","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-366667)\/(-6) - (-14)\/(-84) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000128917 to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 1904?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**3 + 5*z**2 - 3*z. Suppose 10 - 4 = 4*u - 3*t, -u + 7 = 2*t. Let k = 3 + 2. Let j(x) = 2*x**3 - 3*x**2 + 2*x. What is k*j(n) + u*w(n)?\nAnswer: -5*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/24893 and 71\/3410.\nAnswer: 248930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139782 - -139785. Let r be (2\/(-20))\/((-3)\/12). Let -2\/3*c**x + 0 - 4\/15*c**2 + 0*c + r*c**4 = 0. Calculate c.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-12)\/30)\/(1\/(-35)) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and -391 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + 0. Let m = -15 + y. Which is the third smallest value? (a) -3 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 451*j**3 + 121*j**2 + 121*j - 121. Let s(c) = 15*c**3 + 4*c**2 + 4*c - 4. Determine 121*s(o) - 4*u(o).\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 485710807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -14, -0.4.\nAnswer: -14, -6, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3596081, 3596080, 3596079, 3596078?\nAnswer: 3596077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 7*o**2 + o - 4. Let u be z(7). Suppose -3*x + 5*a + 10 + 1 = 0, 0 = 3*x + 3*a - u. Suppose 3*h - 143 = x*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520797.\nAnswer: 1051, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (173 + 2194*c + 1440 - 2193*c)*(2*c - 2*c - c) to the form d*c + o*c**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.41408 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71034159 + 66851841 = 49*y. What is y rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -1.3. Which is the closest to 1\/4? (a) -4\/7 (b) -2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + 11*b**2 + 6*b - 14. List the prime factors of s(4).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -5, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-6)*(-1380)\/(-7452)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632\/5 - (330\/(-50) - -7) is divided by 42.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 8150 - 17164 + a - 7968 to the form t*a + j and give j.\nAnswer: -16982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10*x = -194550. Let z(y) = -x*y - 2 + 19607*y - 37543*y - 16488*y. Let w be z(-3). Round w to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 403 * -99.\nAnswer: -39897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -119*j**4\/12 - 632*j**3\/3 + 76*j**2 + 12. Differentiate a(p) with respect to p.\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 107 = -3*x, -3*x + 154 = -5*p - 0*x. Let w be 1\/(5 + 144\/p). What is the highest common factor of w and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -2*g**2 - 5*g - 4. Let d be v(-2). Which is the nearest to 1\/4? (a) -2 (b) d (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + y**2 - 3*y - 2. Let k be q(3). Let x = 12 - k. Suppose -4*a = -3*a - 10. Calculate the remainder when x is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 21*r**2 + 25*r + 119. What is g(-20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (49 - 37) + (-9 - -9)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61*f*s**3 - 31*f*s**2 - 3*f*s - 8045*s**3 - s wrt f?\nAnswer: 61*s**3 - 31*s**2 - 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -576826 + -2?\nAnswer: -576828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-4))\/(v**(1\/5)\/v))**(2\/37))**(-1\/2) assuming v is positive.\nAnswer: v**(-29\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*(t*t**(-6\/11)*t)\/t)**(-13)\/(t**11*t*t*t**(-5\/4))**36 assuming t is positive.\nAnswer: t**(-4575\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4611198 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.99187575 rounded to 3 decimal places?\nAnswer: -16.992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 + 17*t**2 + 7*t + 15. Let z(a) = a**3 - 8*a**2 - 3*a - 7. Let m(y) = 4*d(y) + 9*z(y). Let x be m(4). Put x, 4, -2 in increasing order.\nAnswer: -2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6782*q**3*u**2 + 1063574*q**3*u*v - 2*q**3*u + 91*q*u**2 - u**2*v wrt v.\nAnswer: 1063574*q**3*u - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*z = -5, -3*z + 2 = -y - 2*z. Let t(i) = 5*i**3 + 2*i**2 - 2*i + 1. Let l be t(y). Calculate the highest common factor of 18 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -132, -134, -132, -126?\n\"Answer: 2*z**2 - 8*z - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2))**(-41)\/(y*y**(-1\/8)*y**7))\/((y\/(y\/y**(2\/3)))**(21\/5)\/(y**(-1)*y**(2\/3)*y*y)) assuming y is positive.\nAnswer: y**(-15841\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.112, 0.1, 1\/23, 2\/7 in ascending order.\nAnswer: -0.112, 1\/23, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 140147*w - 139876*w + 5691 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 116 in 0.019, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -42*t**5 - 2*t**4 + 39*t**2. Let w(n) = 42*n**5 + 3*n**4 - 40*n**2. Let b(k) = 2*w(k) + 3*z(k). Find the third derivative of b(f) wrt f.\nAnswer: -2520*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33274925 and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12627 (base 13) to base 12.\nAnswer: 17816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 61*k**3 + 4 + 64*k**3 - 177*k**3 + 58*k**3.\nAnswer: 6*k**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, q: 3, j: 10, p: 2}. Give prob of sequence tjtt.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6470 = -1045*k + 125*k - 53390 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (371*s**2 - 1 + 771*s**2 - 180*s**2 - s)*(-2*s**2 + 3*s**2 + 0*s**2) as j*s**4 + v*s + y*s**2 + r*s**3 + p and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20525, 40561, 60599, 80639, 100681, 120725, 140771?\n\"Answer: u**2 + 20033*u + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00384492176 to six decimal places.\nAnswer: -0.003845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - 2*d**2 - d**2 + 4*d**2 + 3 - 3 - 3*d**2 - 3*d**2 + 4*d**2 + (-4 + 3 + 0)*(-d**2 + 0*d**2 + 0*d**2) in the form k + p*d + x*d**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 + 2 - (-2 + -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/16)\/((3*-1)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18392475 divided by 19.\nAnswer: -968025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 - 2*j**2 - 5*j + 6. Let y be n(1). Put 13, 9, y in descending order.\nAnswer: 13, 9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvz when three letters picked without replacement from vvzzvvzzzzz?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*w + 1 = 4, -2*w + 2 = -y. Suppose 3*d - 16 + 4 = y. Factor -4 + d - 2*v + 3*v**3 - v**3.\nAnswer: 2*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 2*r + 4. Let x(f) = f**2 - 3*f - 5. Calculate -3*u(t) - 2*x(t).\nAnswer: t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279711470.\nAnswer: 2, 5, 27971147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 266160610818 - 2*v - 266160610818.\nAnswer: v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676230543 to the power of 1\/3, to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 58295.9 kilometers?\nAnswer: 5829590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124032407892 - m + 2*m + 124032407891 + 28*m**3 - m.\nAnswer: 28*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = 28. Calculate the remainder when 26 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 - 75 + 42 = 33*u. Suppose -4*l + 171 = 3*c, l = 2*c + 3*c - 285. Calculate the lowest common multiple of u and c.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 11:01 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -94 + -26?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-1 - ((5 - 3) + 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from {p: 1, q: 2, o: 2, j: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3\/4 - 55*m**2\/2 + 95*m\/4 + 105\/2.\nAnswer: 5*(m - 21)*(m - 2)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g**(1\/7))\/(((g**(4\/7)*g)\/g)\/g*g*(g\/(g\/(g*g\/g**(-4))))\/g) assuming g is positive.\nAnswer: g**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 447046 less than or equal to 447046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5\/z**(2\/5))\/(z**(-4)*(((z*z\/z**(-4\/5))\/z*z)\/z)\/z) assuming z is positive.\nAnswer: z**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104508, -89817, -65332, -31053?\nAnswer: 13020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140304 and 3672?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.0401, 2\/9, -20, 1?\nAnswer: 0.0401","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/3)\/((-14)\/168). Let j = -33 + 65. What is the highest common divisor of g and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.082 + -936.698. Let a = 973 + f. Let n = a - 25.8. Round n to one decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 16*m - 4)*(18*m - 42*m + 19*m).\nAnswer: 80*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, -4, -4.983 in ascending order.\nAnswer: -4.983, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ddood.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 44*y - 61. What is the remainder when 85 is divided by m(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, 166, 410, 752, 1192, 1730, 2366?\n\"Answer: 49*x**2 - x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-12)*(-8)\/(-100))\/(6*(-12)\/1620)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -449fe - 7?\nAnswer: -44a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*z - 18, -2*w + 7*z + 15 = 2*z. Suppose 0*b - w*b = -180. Suppose -2*n - n = -b. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73718, 150732, 227746, 304760, 381774, 458788?\nAnswer: 535802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + z = -17*x - 73, 2*z + 68 = x. Calculate the highest common divisor of x and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:16 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(418)\/(sqrt(396)\/sqrt(4)))\/(2*sqrt(98)*3).\nAnswer: sqrt(19)\/126 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27040 divided by 1.\nAnswer: 27040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + -5.9. Let o = -289 - -291. Let g = -0.956 + -0.044. What is the closest to -1\/13 in o, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(66)\/sqrt(6)).\nAnswer: -24 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -376 + 24c?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3\/9 - 13535*p**2\/3 - 1872952*p - 1740597412\/9 = 0 for p.\nAnswer: -206, 41017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04575 and -628290665.\nAnswer: -628290665.04575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 1000\/(-60))*-51\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, 124, -11, 3, -5, -167 in increasing order.\nAnswer: -167, -11, -5, -0.21, 3, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(6\/(-384)). Let h = -21 - k. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 + 88.06. Let x = 0.06 - n. Let y = -17 - -21. Which is the nearest to -1? (a) 3 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-6*(-8)\/80\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymewelwwyyq. Give prob of sequence qe.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**3\/3 + 5*w**2\/2 + 2*w - 16. Let o(u) = -u + 1. Let n be o(-5). Let t be b(n). Which is bigger: -5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57896*f**4 - 331*f - 2 wrt f.\nAnswer: -694752*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*2\/(6\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124349\/7 + -17696. Let z = 68 - m. Which is the smallest value? (a) z (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**4 - 11*o**4 - 2*o**4 + (8 - 8 - 9*o)*(4*o**3 - 2*o**3 - 5*o**3) + o**4 + o**4 - o**4 to i*o**4 + r*o**3 + k + j*o**2 + q*o and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147114 is divided by 3130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 + 99*s - 1918. Calculate r(15).\nAnswer: 1142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 815877, 1631687, 2447497, 3263307, 4079117?\n\"Answer: 815810*l + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(444600\/160)\/(-195)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -656.6? (a) -2 (b) -20 (c) -1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125251 + 193917. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 104 = -4*u. Calculate the least common multiple of u and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(200)\/sqrt(40) - (sqrt(45) + 4 + sqrt(45))**2*-2) + 1.\nAnswer: 97*sqrt(5) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320, -329, -352, -395, -464, -565, -704?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.1, -2 in descending order.\nAnswer: 0.3, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -890.376 - -880.4. Is 0.1 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2109 is divided by 134.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 161\/23*(-2)\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - 8*c**2 + 8*c - 5. Suppose -48*w + 51*w + 15 = 0. Let o be l(w). Sort -4\/7, 2\/13, o in descending order.\nAnswer: o, 2\/13, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 12*h**2 + 12*h + 14. Let t be b(-11). Solve 3*w + 0*w + t = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 1\/4*z**4 - 5\/2*z**2 - 55 - 4*z + z**3. Determine f(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/((-540)\/243))\/(6\/1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -184, -1391, -4610, -10843, -21092, -36359, -57646?\n\"Answer: -167*u**3 - 4*u**2 - 26*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**5\/60 + v**4\/3 + 3*v**3\/2 + v**2. Let f be p(-7). Suppose 74 = -0*y + f*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199047123533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 44 = 36. Suppose 14*s + 8 + z = 0. Let p(j) = j**2 + 1. Let u(v) = 6*v**2 - v + 5. Calculate s*u(l) + 10*p(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3753555 = 5*c, 3*x - 792*c = -788*c - 2815164. What is x rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -649*x**2. Let f(c) = -11056*c. What is v(f(k))?\nAnswer: -79330603264*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -4573.\nAnswer: 4\/4573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpllzllpzplps. Give prob of sequence zl.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -31*o**4\/24 - 3*o**2. Is b(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 + 248. Let l = -103.1 + z. What is the nearest to l in -4, 3\/4, -1.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(7\/5)\/x*x**(1\/2))\/((x**4\/x)\/x**13) assuming x is positive.\nAnswer: x**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ae6 - -db?\nAnswer: -a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 5:29 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12621, 25258, 37905, 50568, 63253?\nAnswer: 75966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14895 is divided by 7441.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 10 + 5 + 0 - d. Let t = -103 - -94. Let x(c) = -c + 7. Let f(o) = t*x(o) + 4*n(o). Differentiate f(z) wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(45) + -1*sqrt(5) + 0 - ((sqrt(60)\/sqrt(4))\/sqrt(3) + 2)) + 0)**2.\nAnswer: -14*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1653.\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j - 36. Let h be s(21). What are the prime factors of (h\/15)\/((-7)\/(-385))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -15*s**2\/2 + 31*s + 63. What is the first derivative of i(y) wrt y?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 894690 and 960.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101111 (base 4) to base 12.\nAnswer: 32699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*h**2 - h - 3517*h**4 - 20*h**2 + 3518*h**4 - 13*h**3 wrt h.\nAnswer: 24*h - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**3 + 19*z - 24*z + 13*z**3)*(-1 - 1 + 3).\nAnswer: 6*z**3 - 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 66. What is the highest common divisor of y and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 4*i**3 + 0*i**3)*((-5 - 1 + 7)*(-6*i - 4*i + 4*i)*(0 + 2 + 0) + 5*i + 1 + 11 - 7).\nAnswer: 21*i**4 - 15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 295, 472, 677, 916, 1195, 1520, 1897?\nAnswer: 2332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - v + 2. Let z be y(2). Suppose 4*w = t - 2, 0*w = 3*t + 3*w - 81. What is the smallest common multiple of z\/(-18) - (-136)\/6 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719305131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 83264.\nAnswer: 333056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -165362*u**2 - 623*u - 1246. Let m(s) = 795*s**2 + 3*s + 6. Let q(f) = 623*m(f) + 3*x(f). Let c(z) = 3*z. Give q(c(i)).\nAnswer: -7209*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 25 - 5)*(-8)\/6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359*t + 619*t - 285 = 317*t. Let x(y) = 27*y - 12. Give x(t).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxf when three letters picked without replacement from rrexxedxfejrefx.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49454624 - -785.\nAnswer: 49455409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence doq when three letters picked without replacement from odqtbdb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5085 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 238112280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4241243 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 24 + 36. Suppose 655 = l*r - 5*n, 509 = r + 3*r + n. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**3 + 3162*r**2 - 77097*r - 80262 = 0.\nAnswer: -1, 26, 1029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82476013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 227798*d**3*h**2 - 1283*d**2 - 70*h**2 wrt d.\nAnswer: 1366788*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02289 to 4 decimal places.\nAnswer: 0.0229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 36. Suppose 2*r - 205 = -3*x, 2*x + v*r - 55 = 95. List the prime factors of x.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 89583380?\nAnswer: -13\/89583380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.08.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 204685*d**2 + 4*d - 472?\nAnswer: 409370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -145*i**3 - 26*i - 108. Let c be d(-3). Do 3884 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 58. Suppose 9*b - r*b = -28. Let t be b + 1*51\/(-12). What is the closest to t in -1, 3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - 1. Suppose -v - 1 = 5*a - 12, -5*a + 5 = -5*v. Suppose 0 = 2*j - 0*j + 6. Sort m, j, v.\nAnswer: m, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 - -102. Let d(x) = -x**3 - 4*x**2 - 2*x + 3. Let r be d(-3). Solve r*g = -g - z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32128561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1406059204 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 63*w + 19 = -64*w, -z - 4*w = 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2112096 and 2016?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**4 + 15380*f**3 + 1262400*f**2 = 0.\nAnswer: -80, 0, 3156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -31*x**2 - 2968*x - 14825. Give i(-5).\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**2 + 1. Let r(t) be the first derivative of 3 + t**2 + 1 + 0. Calculate r(z(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 6*f**2 - f + 4. Suppose 0*k + 9*k - 1926 = 0. Let l = -220 + k. Calculate z(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4\/9)*p\/(p**(2\/11)*p)*p*p*(p**(-9)\/p)\/p*p*(p*(p\/(p*p**0*p))\/p*p*p)\/p assuming p is positive.\nAnswer: p**(-854\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36884.9 hours to minutes.\nAnswer: 2213094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2. Suppose 0 = 4*y - 3*n - 9 + 44, y - 3*n + 11 = 0. Let q(w) be the first derivative of 2*w**3\/3 + 1. Determine y*q(f) - 3*u(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49, -32, 19, 122, 295, 556?\n\"Answer: 3*u**3 - u**2 - u - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 91248.855 to the nearest one hundred.\nAnswer: 91200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 436 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1579115*n**2 + 1579103*n**2 - n**3 - 3158218*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 1.14025409.\nAnswer: 5.70127045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042255 - 140075666?\nAnswer: -140075666.042255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*j + 4*t - 6, 6 = -2*j + t. Sort -9, j, 4, -5 in increasing order.\nAnswer: -9, -5, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*(t*t*t*t**(7\/3)*t)\/t*(((t*(t\/(t*t\/(t**(-1\/5)\/t)*t))\/t)\/t*t)\/t)\/(t\/(t\/(t**8\/t))))**21 assuming t is positive.\nAnswer: t**(-1246\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 169\/(-268) + -1 + -1. Let g = 8\/29 - 304\/1943. Let v = l - g. Which is smaller: v or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -5*u + 4*w + 126, -5*u + w + 114 = 0. Let v = -11 + u. Let x = v - -3. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 201, 203, 205, 207, 209?\n\"Answer: 2*i + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 369, 517, 687, 885, 1117, 1389, 1707, 2077?\n\"Answer: t**3 + 5*t**2 + 126*t + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(136)*-2)\/(4*sqrt(128) + sqrt(8))*1*4*-2.\nAnswer: 5 + 32*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102 in -1, 1\/6, -95, 129?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 1. Let t(p) be the third derivative of 5*p**4\/12 - 3*p**3\/2 + 17*p**2. Let d(x) = 2*r(x) - t(x). List the prime factors of d(-12).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*i - 1 + (-1 - 1 + 0)*(5*i + i + 20*i) - i - 3*i + 2*i + (0 - 2 + 1)*(-7 - 4*i + 7).\nAnswer: -47*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/15 + 3942*n**2\/5 - 3116096*n\/5 + 1739478056\/15.\nAnswer: 2*(n - 362)**2*(n + 6637)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 + 15*u**2 + 128*u + 197. What is l(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/25 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28333, -28454, -28575, -28696, -28817?\n\"Answer: -121*y - 28212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -13890.381872 to the nearest ten.\nAnswer: -13890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 5*f**2 + f - 4. Let k be g(5). What are the prime factors of ((-24)\/(-20))\/(k\/5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10}. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 11:14 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210920 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + p - 2. Calculate m(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(-3) - (-37 + (29 + 16 - 21))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -224. Suppose 0 = -4*d + 4*a + 552, 5*d + b - 912 = -2*a. Suppose 4*u + 4*s = 416, 3*u - 4*s = d + 202. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -3*v - 24. What is the remainder when 27 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/33)*k*k**(3\/10))\/(k**5\/k)**(-22) assuming k is positive.\nAnswer: k**(29449\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 3*v**5\/20 + v**4 - 9*v**3\/2 - 54*v**2 - 95*v - 2. Suppose c(d) = 0. Calculate d.\nAnswer: -4, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288*1.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 67171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -164362 to the nearest one thousand.\nAnswer: -164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3 = -3*g - 1, 0 = 4*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-14) - ((-3600)\/2520 + 660\/(-21)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/6 + 34*q**2\/3 + 139*q\/6 + 35\/3 = 0. What is q?\nAnswer: -1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -10. Let h = u + -11. Let z be 18\/21*2\/3. Which is the nearest to 1? (a) h (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 2322, -1, 0.\nAnswer: -4, -3, -1, 0, 2322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 7 = 5*b + 3*f, 4*f - 13 = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/11 - -7\/33. Which is the second smallest value? (a) y (b) 4\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-360)\/175 + 12\/10?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, 2, 81, 192?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 14, -16, -82, -196, -370, -616, -946?\nAnswer: -1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2180 - 412. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -321*g**4\/8 - g**3\/6 - 20*g**2. Let h be d(3). Round h to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 89, 336, 949, 2114, 4017, 6844, 10781, 16014?\n\"Answer: 31*c**3 - 3*c**2 + 39*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 619, 398, -5, 1\/4 in descending order.\nAnswer: 619, 398, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27134.23 rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 3.16588.\nAnswer: 2.76588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/(n*n*n\/(n*n*n*n**(-2\/5))*n)*(n*(n\/((n\/n**(-1\/9)*n)\/n))\/n)\/n**4)\/((n**2\/n*n*n*n**2)\/(n*n**0*n)**(-6\/17)) assuming n is positive.\nAnswer: n**(-4756\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c - 4. Let k(f) = -f - 1. Let g(s) = -i(s) - 4*k(s). Let u be g(3). Calculate the greatest common divisor of 99 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1083\/7 + -155. Let r = -1.13532 - -0.13532. What is the nearest to r in 2\/7, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2833517.\nAnswer: 2833517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 15*z**5 - 129*z**4 - 69*z**3 + 129*z**2 + 54*z = 0.\nAnswer: -1, -2\/5, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -5*x**3\/2 - 9*x**2\/4 + 3*x + 6. Let y(d) = 0. Calculate d.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 20\/(-18)*540\/(-50).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -524*y**4 - 31*y**3 - y**2 + y - 666124?\nAnswer: -6288*y**2 - 186*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3*v**(4\/5))\/(v\/(v\/(v\/v**2)))**(2\/85) assuming v is positive.\nAnswer: v**(65\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3745647374 rounded to two dps?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 2*z**2 + 2*z + 4. Let l be v(3). Suppose -l = 5*b - 31. What is the third derivative of -7 + 6*q**2 + q**b + 5 + 2 wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 12*z**2 - 9*z. Suppose 62 - 17 = 3*o - 2*a, -o + 19 = -2*a. Calculate the remainder when f(o) is divided by 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let t(i) = -5*i**2 - 2*i. What is t(o(x))?\nAnswer: -5*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3758*p**2 + 30322*p + 2064 = 0.\nAnswer: -8, -129\/1879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -438 - -5086. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1580, -3170, -4760, -6350?\nAnswer: -7940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - 0.2. Let h = q - 0.8. Put -1\/3, h, 0.1 in descending order.\nAnswer: 0.1, h, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*r = -6*r, 0 = -4*r. Suppose -o + 2 = -n*o. Suppose -2*p + o*l + 1457 + 489 = 0, 0 = -p - 5*l + 961. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 78459468.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2 + 384*w + 3264 = 0.\nAnswer: -8, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 62601728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + o + 0 + (6 - 2 + 1)*(11276*o + 311 - 22551*o + 11270*o) as j + d*o and give j.\nAnswer: 1555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004579 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/((-9)\/(-6)). What is the greatest common divisor of 4 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1033*n + 3127 + 3071 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 156 = -5*j, 3*q - 172 = 2*q + j. Suppose -14*i - 2*i = -q. What is the remainder when 85 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 4 (c) 98 (d) -14 (e) 0.01 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/3, 5, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/21)\/(i**7\/i)*i**(-4\/9)\/i**3)\/((i**9*i**(-1\/7)*i)\/(((i**5\/i)\/i)\/(i\/(i**0*i)))) assuming i is positive.\nAnswer: i**(-1021\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.655265 centuries in months?\nAnswer: 5586.318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + ((-41 - -56) + -9 + -2 - (3 - 12))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -352 - -356. Suppose -12 - 16 = -f*t. Let z(v) = v**3 - 6*v**2 - 9*v + 10. Give z(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17507 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.427 and 0.16.\nAnswer: 1.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from uuuuuuuuuubu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1.148, 73\/5, -4\/9?\nAnswer: -1.148","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25*3295.85.\nAnswer: -823.9625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2123013 and 91\/222.\nAnswer: 157102962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032023 rounded to 4 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12446 = 44*g + 4042. Calculate the remainder when g is divided by 85.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roqorovroqrqozq. What is prob of picking 2 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30376114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c + 1. Let w be -3*(-2)\/(-9)*-3. Suppose w = -4*b + 3*b. Let g be (b - (-1 + 1)) + 5. What is l(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/144 + 3)\/6\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 3803, -5\/6, -1258?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.1 (c) 1\/5 (d) -5 (e) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 5*y.\nAnswer: 5*y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 684, 1 in increasing order.\nAnswer: -19, 1, 684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Let j(c) = 6003 - 3005 + 1965*c - 2998. What is j(i(g))?\nAnswer: -1965*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 19*o**2 - 77*o + 116. List the prime factors of u(-21).\nAnswer: 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1214 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + 171. Let l = r - 146. What are the prime factors of l?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.964 plus -5?\nAnswer: -3.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(19) + 3) - (sqrt(19) + 0 - sqrt(19))*6) + ((sqrt(76) - -4*sqrt(76))*-3)\/sqrt(4)*5.\nAnswer: -74*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/(((l*l\/(l*(((l\/l**(-2\/7))\/l)\/l)\/l))\/l)\/l))))\/l)\/(l*(l\/(l*l**(-1\/7)\/l*l)*l)\/l)*(l*l*l**(2\/7))**45 assuming l is positive.\nAnswer: l**101","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5.0000007. Round c to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4 + 5*h + 2*h**2 - 1 + 1. Let z be g(-4). Let w = z + 56. What is the highest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40620 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/132*((-1)\/(-3)*-9)\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttoctttoccmtooomtcm. Give prob of sequence mctt.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7511918 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*h**5*i + 20226*h**3*i - 289*h**2*i - 13166*h*i wrt h?\nAnswer: -2160*h**2*i + 121356*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8820 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 34*q**3 - 29*q**3 + 78 - 49*q**3.\nAnswer: -112*q**3 + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, z: 3}. Give prob of picking 3 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -0.5. Let s = 6 - 6.1. Let f = c + s. Does -3\/8 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120220 (base 3) to base 16.\nAnswer: 1ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -6. Suppose 5 = 5*m, -m - 1 = -s*u + 4*m. Solve 0*l + 5*n = -3*l - u, -4*n = 3*l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.3. Let j = m - -0.1. Let o(i) = -i + 3. Let y be o(4). What is the third smallest value in y, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9760328698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*c + 45, 4*t + 5*c = -0*t + 105. What is the first derivative of -32 + t*r**3 - 33 + 69 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 6*d**2 + 2*d - 5. Let n be 26\/4 + 4\/(-8). Let c be v(n). Suppose c = -y + 6. Which is greater: -4\/5 or y?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2680943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*g - 4*v, v - 48 = 26*g - 21*g. Let q(j) = 4*j - 7. Calculate q(g).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 times -451?\nAnswer: -165968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-74)\/(-1036))\/((-1666)\/343 + (4 - -1 - 3))\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -142 + 142.3. Let c be (2 - 2)*(-1)\/(-1). Let v be (c + 1)*2\/18. Put 0.1, v, l in decreasing order.\nAnswer: l, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 9 = -3*g, 4*g + 7*f - 6*f = 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**4 - 1121536*q**3 - 7*q**2 + 1208*q + 5902.\nAnswer: 24*q**2 - 6729216*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*b - 196 + 87 + 94.\nAnswer: 48*b - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212953\/150 + 8455\/6. Do -10 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 i when three letters picked without replacement from {i: 3, e: 2, u: 5, t: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 20*b**3 - 5*b**2 - 94*b - 1. Determine u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 450775?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.83 and 11?\nAnswer: -9.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/11 + 356*x**2\/11 + 720*x\/11.\nAnswer: -2*x*(x - 180)*(x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 12:06 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3374334 by -6.\nAnswer: 562389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7 + 2*b - 7*b + 19*b + 2*b**2. What is the remainder when 16 is divided by r(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(126\/28*(-10)\/(-6)). Let x be (-10)\/(-10) + (-2)\/(-2). Sort -6\/5, d, -5\/4, x in increasing order.\nAnswer: -5\/4, -6\/5, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 26*u**2 + 1344*u + 3433. What is c(-24)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 5*a + 7. Let j(y) = 45 - 11 - 10 + y**2 - 13 - 10. Calculate -6*j(u) + t(u).\nAnswer: -3*u**2 - 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 240*g**2 + 6 + 234*g**2 - 186*g**2 - 1 in the form j*g + q*g**2 + z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j**2 - 3*j + 11. Let z(a) = 7*a**2 + 4*a - 12. Determine -6*d(s) - 5*z(s).\nAnswer: s**2 - 2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1225 - -1278. Solve 0 = -58*m + i*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1761 - -1785. What is the least common multiple of h and 217\/14 - 2\/(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 10. Let f = -6 + r. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.086 - -0.446. Let p = s - 0.36000081. Round p to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + a**2 - 2*a**3 + 6*a**3)*(4*a - a - a) + (-4 + 4 - 2*a**2)*(-3*a - a**2 + 3*a).\nAnswer: 8*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (361\/(-2 - -3))\/((-15)\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60249 - 7555 + 97*i - 50*i - 50*i.\nAnswer: -3*i + 52694","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321 divided by -27?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 745 in -9\/5, 1\/79, -1, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 0*y**2 - 2*y**2)*(-52*y**3 + 86*y**3 + 14*y**3).\nAnswer: -96*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j - 23. Let x(v) = -2*v - 13. Let s(o) = -4*t(o) + 7*x(o). Suppose 2*y + 4 = y. What is s(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -17 (b) -0.4 (c) 0 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/447 and 23\/905175.\nAnswer: 905175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from {g: 5, u: 7, k: 1}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.1, 1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - m = 0, 2*g + 8*m = 6*m - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -12900.\nAnswer: 5160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t + 6 = 0. Let a(c) = c**2 - 2*c**2 + 3*c**2. Let r(y) = -2*y**2 + 2*y**2 + 5*y**2. What is t*r(k) - 8*a(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.0035, -9.1, 5 in decreasing order.\nAnswer: 5, 0.1, -0.0035, -9.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -14, 2, 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 83, -0.23 in descending order.\nAnswer: 83, 0.1, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -52, -209, -512, -1009?\nAnswer: -1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1993*f + 1996*f = -3*h - 6, 2*h + 12 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*v + 56*v + 6. Let o = 4 + -6. Let r(m) = -2*m**2 - m - 1. Let y be r(o). Sort -4, v, y in increasing order.\nAnswer: y, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -17 - 7. Suppose k = 3*k + s*x - 18, 0 = x - 3. Let m(i) = -i**2 + 7*i - 6. Let l be m(5). Sort l, -11, k.\nAnswer: -11, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/((-6)\/(-1)))\/(2\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.32 - 7. Let c = o - 0.02. What is the nearest to -1 in 2\/3, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 4, z: 1, d: 1, n: 2}. What is prob of picking 1 d and 1 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 23648*y**3 - 34928088*y**2 - 69927136*y - 34975396.\nAnswer: -4*(y - 2957)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 4:23 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r - 8296 = 0. Suppose -q - 1658 = -4*w, 2*w + 2*q = 7*w - r. Suppose 9*c = w + 378. What is the highest common divisor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 - ((-11 - -5 - -18) + -5 + (0 - -2))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*i**2 - 60*i + 675.\nAnswer: -3*(i + 5)*(13*i - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**4\/4 + 141*w**3\/2 + 8679*w**2\/4 + 24111*w + 87723 = 0.\nAnswer: -38, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 18*q - 10. Let r be f(-18). Sort -7, r, 2.\nAnswer: r, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 89 + 69. Suppose -2*z - 24 = g*x, -x = 4 - 2. List the prime factors of (-34 + -1)\/(3*z\/84).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41691557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*g**4\/17 - 1340*g**3\/17 + 2262*g**2\/17 - 560*g\/17 - 376\/17 = 0. Calculate g.\nAnswer: -2\/7, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t - 24. Let z be u(-6). Suppose -26*a + z*a = -3*k + 609, a + 2*k - 146 = 0. Is a a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/52 - 25\/(-4). What is the highest common divisor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2. Let o(g) = -5199*g + 5565*g + 23 - 23. What is o(d(u))?\nAnswer: -366*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 245 + 8. Suppose 8*k + 387 + h = 0. Let g = 134 + k. Calculate the greatest common factor of g and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905924849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*k - 26, -3*k = 5*z + 4 - 26. Solve -2*u = 2, -f - 2*u = 2*u + z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Let c be (-1)\/(-6)*(-9)\/x. Let k = 0.45669 - -0.04331. What is the smallest value in k, c, -2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 1, -1, 2 in decreasing order.\nAnswer: 5, 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -78.7, -1, -17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 - -116.1. Which is the nearest to g? (a) 0 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 2268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45901 divided by 233.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -2339?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2290, 9046, 20288, 36016, 56230, 80930?\nAnswer: 110116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38\/21 + -99\/7. Calculate the common denominator of 49\/11 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5699 - -0.2699. What is the third smallest value in 0, 0.6, 2\/107, m?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f + 277 = -102 + 2 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 144*t**3 - 2*t + 18*t**3 - 2*t**3.\nAnswer: 160*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.269 - -0.169. Let g = 3.3 - 19.3. Let k = z - g. What is the nearest to k in 0.16, -3, 0.3?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -227493714*g**4 - 290878749 wrt g?\nAnswer: -909974856*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -512?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52405590 + 1205590. What is c rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117)*3 - (sqrt(1300) + sqrt(1300)*2*4))**2 + (sqrt(65) + sqrt(65)*1*2)\/(sqrt(40)\/(sqrt(40)\/sqrt(5))).\nAnswer: 3*sqrt(13) + 85293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24656693 at least as big as 24656688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:50 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - t)*(22*t - 20*t - 42*t)*(-28*t + 9*t - 24*t) to p*t**3 + f*t**2 + n + v*t and give p.\nAnswer: -1720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 14 = -2*k, -3*k + 27 = 2*k - 3*v. Suppose 5*d = -3*m - 6, -3*d = -2*m - m - 6. Let p be 7 + m - -2 - 2. Sort k, -1, p in decreasing order.\nAnswer: p, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in -2, 0.1, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = 0, -2*j + 12 = 3*k - 0*j. Solve 0 = k*a - 14 + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133a (base 14) to base 15\nAnswer: -1009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 17, 178, -2\/3, -1600, 5\/2, 0.3?\nAnswer: -1600","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 255, 5, 0.4, 75, -14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 9*g**2 + 6*g - 10. Let y be z(-8). Let j = 8 - y. Suppose -115 = j*i - 7*i. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22562820 divided by 84\nAnswer: -268605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711.3841 seconds in hours?\nAnswer: 0.75316225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 30 (b) 2.27 (c) -36 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:00 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127479, -127486, -127493, -127500?\nAnswer: -127507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/173294 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -296 (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2754 and 10287.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - t**2 - t. Let v(g) = -30*g**3 + 20*g**2 + 20*g. Let m(n) = -3*v(n) - 60*w(n). Let h be m(1). Let z = -18 + h. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 250 + 24130505?\nAnswer: 24131155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2269 - 2269.0001697. Round g to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Let i(a) = -5*a + 0*a**2 + 2*a**n - a**2 + 4*a. Let z(y) = -8*y**2 - 1997*y + 3997*y + 0*y**2 - 1994*y. Give -6*i(w) - z(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + -1*(sqrt(396) + 5 + 1*sqrt(396) + sqrt(396)))**2.\nAnswer: 288*sqrt(11) + 14272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/46*31\/((-186)\/(-4))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 30 - 9. Find the third derivative of -1758*s**2 + 0*s + 1775*s**2 + 0*s - 36*s**f wrt s.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326622 is divided by 203.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 736 - 584 - (60 + 8)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6118092 to the nearest integer?\nAnswer: 2473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 10:25 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*c + 96, 36 + 10 = 2*c + v. Calculate the lowest common multiple of 111 and c.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -10*g**2. Let i(l) = 2005*l**2. What is i(a(z))?\nAnswer: 200500*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*i + 155*i + 93*i - 101*i + 42*i.\nAnswer: 359*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33607 or 201637\/6?\nAnswer: 201637\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {x: 2, w: 9, s: 8}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5997 divided by 1?\nAnswer: 5997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 82, 1931, 6958, 16747, 32882, 56947, 90526, 135203?\n\"Answer: 264*n**3 + 5*n**2 - 14*n - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 3 - 4 + 32*n**2 + 4*n**4 - n**3 + 5 - 34*n**2 as q*n**3 + t*n**2 + v*n**4 + m + s*n and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -0.0948.\nAnswer: -5.0948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3157*c. Let j(r) = -3*r. Determine j(l(i)).\nAnswer: -9471*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11215357 - -6?\nAnswer: 11215365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 201, 202, 203, 204, 205?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002321 - 0?\nAnswer: -1002321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 999?\nAnswer: -1\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 6?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/19 or -1\/14538?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, 1, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:31 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8000028 - 1.8. Round t to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 9*g**2 + 11*g + 5. Let z be x(-10). Let l be (1 - -1)*z\/2. Suppose -3*k - 15 + 3 = 0. Which is the biggest value? (a) l (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28005725 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 174.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -1499, -2 in ascending order.\nAnswer: -1499, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 15 = 2*z. Let i be z\/(-54) - (-13)\/6. Solve -6 = i*n - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 582, 1394, 2562, 4080, 5942?\n\"Answer: -s**3 + 184*s**2 + 267*s + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.63062 millennia to centuries.\nAnswer: 616.3062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.8. Suppose -4 = 2*t - 0*t. Let m = -2.89 + 7.89. Sort k, t, m in increasing order.\nAnswer: t, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48404 and 4076.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63*((-24)\/(-30))\/(558\/(-155))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - w + 4 = -3*k, 5*w + 25 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -506\/59435 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Round -645.999 to the nearest integer.\nAnswer: -646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iege when four letters picked without replacement from vveeveeeeeigs.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 14*k = 4*v + 2, 5*k + 2*v + 12 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109823, 109819, 109813, 109805, 109795, 109783?\nAnswer: 109769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71687?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -2, -23, 1, -1397 in descending order.\nAnswer: 6, 3, 1, -2, -23, -1397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 2) + 0 - (1768 - 1810)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**4 + 7836*f**3 - 3895992*f**2 + 57106944*f - 204073344 = 0. Calculate f.\nAnswer: 6, 9, 972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -13, -19, 30?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-1) - (-21)\/7. Let y(a) be the second derivative of 0*a**2 - 7\/12*a**4 + 3*a + t + 0*a**3. Let m(v) = v**2. Determine y(m(h)).\nAnswer: -7*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 107379 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 4350303250?\nAnswer: -4350303302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 104 and -4.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1153438, 1153437, 1153436, 1153435, 1153434?\nAnswer: 1153433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1472964 and 80582?\nAnswer: 1874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 702 + 0?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -79 (base 12) to base 10\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -9*h**5\/5 - 2*h**3 - 6. Find the third derivative of m(j) wrt j.\nAnswer: -216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.531 - -0.031. Let l = -0.3 - 6.7. Let f = w - l. Sort 2, f, -3 in ascending order.\nAnswer: -3, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3163 is divided by 1495.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-22 - -13) - (-11 - -2)) + -9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 8:34 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 516 - 516 + 21*c + 5*c to r + z*c and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 87*f**3 + f. Let m = 21 - 20. Suppose 3*i = 3, -m = 3*u - 4*i - 0. Does 22 divide j(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -453 - -452.999769. What is y rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-15))\/(2\/(-40)). Suppose t*o - 189 = 7*o. Let j be (-4 + 1)*(-35)\/o. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**4 + 15 - 15 + (-b**3 + b**3 - 4*b**3)*(3*b + 3*b - 5*b).\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ottxgggxg. Give prob of picking 1 x and 1 o.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = 4*l + 32. Find c, given that -l*c**4 - 8*c**3 - 21\/2*c**2 - 11\/2*c - 1 = 0.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2590000 = -2*q. What is q rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -397*f + 2376. Let j be p(6). Let t(i) = -17*i - 74. Give t(j).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 4*x**3\/3 + 561. Let k(y) = 38*y. Give k(b(l)).\nAnswer: 152*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103\/(1\/1) + 2?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 885, 1769, 2653, 3537, 4421, 5305?\n\"Answer: 884*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdx when three letters picked without replacement from xpkkjddxddjddddxjd?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + 3*g. Let f be v(0). Factor -2\/3*b**4 + 0 + f*b**2 + 0*b + 2\/3*b**3.\nAnswer: -2*b**3*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 20646.\nAnswer: 41292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/3133 (b) -4 (c) 2124\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, -54, -141, -276, -465?\n\"Answer: -b**3 - 15*b**2 + 7*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155 + -247 - (-8 + 8 + 18)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-7)*a*a\/(a**(-7)*a)*(a**(-1)*a)**(-26) assuming a is positive.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.025*6074\nAnswer: -151.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -9.85. Let d = n + 3.85. What is the smallest value in 6\/5, d, 2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3968, 32755, 111038, 263561, 515068?\nAnswer: 890303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d + 21366 = 0. Let f be 4\/(d\/(-3562) - 2). Let y = f - -3624. What is y rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2452, 4917, 7394, 9889, 12408, 14957?\nAnswer: 17542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*y, -2*y + 240 - 38 = -4*x. Suppose -2*z + 432 = -0*z. Let u = x + z. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from emrrruqrqrqmqxqq.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.77 + -79.77. Let p = v + 43. Let k = -37 - p. Put 1, -4, 2, k in decreasing order.\nAnswer: 2, 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*l + f, 0 = -0*l - 2*l - 4*f + 10. Suppose -l*b + 3756 = 281. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 3*q**2 - 2*q**3)*((2*q - 4 + 4)*(5 - 18 - 3) - 4*q + 3*q + 0*q)*(-3 - 2*q + 3).\nAnswer: -132*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114944.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/2 (b) -0.2 (c) 15 (d) 1\/1396\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -162 + 164. Let w(i) = -4*i - 1. Let f(t) = -9*t - 2. Determine u*f(c) - 5*w(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159 - -100. Let u = 61 + v. What is the third derivative of u*d - 137*d**2 + 144*d**2 - 2*d - 2*d**5 wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 154131510 to the nearest one hundred thousand.\nAnswer: 154100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -12, 1, 34, 93, 184, 313?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 3*h - 1. Let p be r(4). Does 11 divide (-31)\/(-1) + (p - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugfsffftf. Give prob of picking 1 s and 1 f.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 l when three letters picked without replacement from {l: 1, a: 1, v: 1, j: 1, q: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - 1) + (1 - -1). Let q = g + 20. Let l(t) = -16*t - 44. Let u be l(-6). Calculate the highest common divisor of u and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.330679216 + -3.3305. What is u rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3 + 19867141*f**2 - 63289505*f.\nAnswer: -12*f + 39734282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/2, 0, 623 in decreasing order.\nAnswer: 623, 0, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0472211747 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2010?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 7 = -l, 2*l + 2*v - 21 = -7. Let p = l + -3. Let y(a) = 2*a**2 + 3*a - 2. Let i be y(-3). Solve i = -2*x - q, 2 = -0*x + 5*x - p*q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ca9 + d5?\nAnswer: da0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37103 is divided by 354?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 106\/2637 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 + 305*b**3 + 1232*b**2 + 1236*b.\nAnswer: -b*(b - 309)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3926 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.307825287 to 3 decimal places.\nAnswer: 0.308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 5*x - 34, -x = -693*a + 692*a - 8 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1224)\/(-306)*((-2)\/6)\/((-12)\/(-243)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**2\/2 + 1296. Let x(h) be the second derivative of -2*h + 0*h**2 + 0 - 2\/3*h**3. Give q(x(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 595072 divided by -9298.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.3. Let x = 924797\/28 + -33025. Let r = -15\/4 + x. Which is the closest to r? (a) h (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.255*0.2\nAnswer: 0.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4)*(-5 + 5). Suppose 2*n + 10 = d, q = -4*d + 2*d - 5*n - 16. Solve -2 = d*p - 0*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.3, 8\/3, -0.04 in descending order.\nAnswer: 9.3, 8\/3, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5819, -1, -8, 4, -3, 2 in decreasing order.\nAnswer: 4, 2, -1, -3, -8, -5819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(143)\/(-2*sqrt(176) - sqrt(11)).\nAnswer: -4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-70 + 2) - (85 - -1 - 81)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:18 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -3, 3 in descending order.\nAnswer: 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 34*d - 41. Let w be o(18). Let r(z) = -16*z + 129. Calculate the remainder when r(w) is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/117*(-171)\/(-3021).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 3)\/(-12)*(-77 - (35 + -142)). Factor 6 - 27\/2*k**2 + h*k.\nAnswer: -3*(k - 1)*(9*k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-12) + (-23)\/3. Let i(t) = t**3 + 6*t**2 - 8*t - 1. List the prime factors of i(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25b349 (base 15) to base 3\nAnswer: -10101221111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 4*o. Let w(c) be the second derivative of c**4\/4 + 3*c**3\/2 - 36*c. Determine -3*w(m) - 7*y(m).\nAnswer: -2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.03, 0, -0.4, 0.5, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.00547 rounded to three decimal places?\nAnswer: 2.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u + 1. Let i(z) = 10*z**2 + 4*z + 8. Let j(k) = 2*k**2 + k + 2. Let f(n) = -i(n) + 4*j(n). What is f(r(g))?\nAnswer: -98*g**2 - 28*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 13*l**3 + 16*l**2 - 2*l + 7. Let m(j) = -j + 2. Calculate 2*m(i) - z(i).\nAnswer: -13*i**3 - 16*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 11*k - 6*k in the form z*k + n and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*t + 699, -89*t + 91*t = 4*d - 1438. Calculate the greatest common divisor of 63 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)\/sqrt(4) - (3 + (-2 + sqrt(11))**2))*-2.\nAnswer: -16*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6102157 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2. Let q(z) be the third derivative of -z**4\/12 + 5*z**3\/2 + 4*z**2 + 6. Give q(i(n)).\nAnswer: -4*n**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -155.54 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1194*p + 44359. What is u(-37)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*g = 40. Suppose -25 = -2*q - 3*q. Suppose 17 = t - q. What is the least common multiple of g and t?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-250)\/(-150)*1\/10*240\/(-1140)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 - 479 = -46*q + 131 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1623 and -633536?\nAnswer: 635159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11.7 in 3\/2, 4, -227, 0.1, 0.12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 555 - 837. List the prime factors of l\/(-18) - (-2)\/(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + 382. Let i = k - 345.92. Let m = i - 49. Round m to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/11 (b) -4 (c) -14563638\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 5*q - 9. Let l be u(6). Let t(k) be the second derivative of 5*k**3\/6 + k**2 + 10*k. Let n(s) = -2*s - 1. What is l*t(p) - 8*n(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**8\/6720 + v**7\/630 + v**6\/720 - v**5\/60 - 19*v**4\/12 + 7*v**2. Let u(f) be the second derivative of s(f). Calculate u(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34aa2 (base 11) to base 12.\nAnswer: -25321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13103*w**4 - 74858 wrt w?\nAnswer: 52412*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 s, and 1 n when four letters picked without replacement from {x: 2, p: 1, y: 4, n: 1, v: 1, s: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) - (sqrt(126) - 2*sqrt(126)) - sqrt(126)) + sqrt(126))*-1*6)\/(sqrt(112) + sqrt(112) + (sqrt(112) + sqrt(112)*1)*6 - sqrt(112)*-2*-4).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41, -118, -195, -272, -349, -426?\n\"Answer: -77*z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, d: 3, l: 4}. What is prob of sequence dtl?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 12*m**2 + 6*m. Is s(-10) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.54425 days in milliseconds?\nAnswer: 6095023200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - -0.3. Let g = -76 + 80.08. Let h = g + -0.08. Which is the closest to -1? (a) z (b) h (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 666\/(-8) + 60\/(-80). What is the least common multiple of (-11 - -18) + (-3 - 1) and (0 + 3)*u\/(-18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 29*l**3 + 45*l**2\/2 - 13*l + 4. Is 15 a factor of b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 53 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 1874*p**6\/15 + p**4\/12 + 18*p**3 - 3*p**2\/2 - 3202*p. What is the third derivative of z(i) wrt i?\nAnswer: 89952*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -3, -533, 2, 26 in descending order.\nAnswer: 26, 3, 2, 0, -3, -533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3899 or 20?\nAnswer: 3899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -10. Let l(o) = -t + 0 + 8*o + 0. Let j be l(5). What is the highest common divisor of j and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 58117?\nAnswer: 523053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 578 - 473.2. Let z = 108 - k. Round z to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**2 - c + 1. Let m(k) = 18*k**2 + 604*k - 6. Calculate -m(z) - 5*o(z).\nAnswer: 2*z**2 - 599*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1416, 2795, 4174, 5553?\nAnswer: 6932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 6*k**2 - 6*k + 8. Let g be c(-7). Let s be (g - 0)*-3 - -93. Is (9\/(-6) - -2)*s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72859.64 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194609?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -13342.8 (b) 5 (c) 0.5 (d) -0.4 (e) 0 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*7\/70*15\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -50784.70065 rounded to the nearest 1000?\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**4*l**3 - 234*j**2*l**3 + j*l**3 + 56*l**2 wrt j.\nAnswer: 12*j**2*l**3 - 468*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -785 in 0, 0.5, -2.21?\nAnswer: -2.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:20 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66565 - 116?\nAnswer: -100014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3054312 divided by -708.\nAnswer: -4314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 215*t - 1082. Solve -z + 7 = i, 0 = t*z + i + 103 - 130 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24655798 by -12327899.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*d**4 + 1650*d**3 - 2*d + 257200?\nAnswer: -68*d**3 + 4950*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (55\/((-3685)\/(-134)))\/((-5)\/((-75)\/(-2)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*n - 3*f + 2*f, 2*n - 6 = -2*f. Let b be 3 + (n - 2) + -8. Let o be (-1 - -1) + 4\/(-2). Put o, b, 1 in ascending order.\nAnswer: o, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18344 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p - w - 80, 5*w = -3*p - 88. Let m = -8 - p. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 4. Let g be i(-3). Suppose -2*s - 7 + 1 = 0. Let l = g - s. Solve 0 = z + l + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/1*20520\/(-532). Suppose 0 = 9*q - 24*q + k. Solve -3 = 5*i - q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -a - 4, -a + 18 = 4*l - 2. Suppose k + v = 2*k - 8, 0 = -2*k + l*v + 26. Let y(b) = b + 1. What is the least common multiple of 18 and y(k)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 9 = x + 22, 2*c = 4*x + 8. Let j = c - -6. Differentiate 101*f - 101*f - 16*f**j + 24 wrt f.\nAnswer: -64*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -282206, -282202, -282194, -282182, -282166, -282146?\n\"Answer: 2*v**2 - 2*v - 282206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/6 - 20\/60. Solve -4*m = b*r - 7*r + 6, 20 = -4*r - 3*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 343, 1377, 3101, 5515, 8619?\n\"Answer: 345*w**2 - w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7089 divided by 816\nAnswer: 139\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 6*l. Calculate the remainder when (1 + l)\/(4\/68) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(sqrt(225) - (((sqrt(225) - (sqrt(225)*1 + sqrt(225))) + sqrt(225) - sqrt(225)) + sqrt(225))))\/(sqrt(30)\/(sqrt(18)\/sqrt(3))).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 6060*i**2 - 24160*i.\nAnswer: -5*i*(i - 1208)*(i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 7253176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -5*u**6\/6 + 9*u**5\/5 - u**2 - 8*u + 39. What is the second derivative of k(i) wrt i?\nAnswer: -100*i**3 + 108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -12 + -32 - -46 - 51.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21c - -423?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12551*o**4 + 2*o**2 - 146*o + 104303686.\nAnswer: -50204*o**3 + 4*o - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69104 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 + 8.4. Let a = 8 - r. What is the closest to 0.1 in -5, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 + 3*h. Let l(t) = t. Let a(r) = i(r) - 3*l(r). Let f(b) = -1 + b + 1. Calculate f(a(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6343 (base 11) to base 9.\nAnswer: -12458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6872 by -1718.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 7. Let i(w) = -w**2 + 27*w - 48. Let o be i(22). Suppose -o = -b - 9. Suppose 5*s - b = -18. Give z(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60689244.\nAnswer: 2, 3, 7, 11, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -182?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**5\/20 + o**4\/2 - 5*o**3\/6 + 3*o**2\/2 + 2*o. Let p be a(5). Suppose 1 = p*f - 17. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17720*j**5 - 2*j + 323 wrt j.\nAnswer: -354400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1797120 and 18720?\nAnswer: 1797120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncf. Give prob of picking 1 c and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-12)\/8) + (-5)\/(-2). Solve -4*n + z + 20 = -3*z, 0 = -a*n - 2*z + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 8. Suppose -c*j = 5*w - 62, w + 0*w + j = 10. Suppose 0 = -4*b - 4*z + 48, w = -3*b + 4*b + 3*z. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -334.62 from 345856.936.\nAnswer: 346191.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 3*y = 20. Solve 0 = y*w - 2*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 390 + -389.812. Let g = 0.088 - i. Which is the closest to g? (a) 3 (b) -1 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112125 (base 12) in base 13?\nAnswer: 97472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 63*q - 63*q - 13*q**2.\nAnswer: -13*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, -36, -251, -584, -1041, -1628, -2351?\nAnswer: -3216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + 110110101101110?\nAnswer: 110110101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d = 3660 - 3716. Let u(w) = 6*w - 2. Let b(s) = 3*s - 1. What is d*u(z) - 5*b(z)?\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*b + 2*b - b, -6*n = -b - 22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1836)\/132 + -5 + (-13)\/143?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 25*p**2 - 48*p - 33004 + 16440 + 16473 - 72*p**2. Determine b(-46).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 2692*n**5\/5 - n**3\/3 - 987*n**2\/2 + 567. What is the third derivative of h(u) wrt u?\nAnswer: 64608*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n**(1\/5)*n*n)\/n*n\/(n*n*n**(-1\/3)*n)*n**5\/((n*n**(3\/7))\/n)*n**(1\/4)*(n\/(n**(2\/3)*n))\/n*(n**(2\/7)\/n)\/(n\/n**(1\/7)) assuming n is positive.\nAnswer: n**(127\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(72\/14) - 2\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*g - 361 = 170*g - 25. Solve 5*s - 3*x = -6, -26 = 5*s - x - g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*v**2 + v + v - 5*v**2 + 0*v.\nAnswer: 98*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -84?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/60)*w\/w**(6\/5)*(w**(2\/3)*w)\/w**(-8) assuming w is positive.\nAnswer: w**(189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -44. Suppose -y - 138 = z. Let c = -41 - y. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23, 69, 147, 257, 399?\n\"Answer: 16*v**2 - 2*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2568*g**4 + 1281*g**4 + 177*g**2 + 1286*g**4 - 236*g**6 wrt g?\nAnswer: -28320*g**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 2 - -2) + -2. Let g be 2\/7 + (-38)\/(-14). Let x = d - g. Which is smaller: -2\/19 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6023516 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 + 156*b - 202*b + 90*b.\nAnswer: 44*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 229*x**2 - 1196*x + 277. What is k(-109)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -24\/3277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18397*r - 32 + 20 + 12.\nAnswer: 18397*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/24 and 97\/520.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 6\/2041 (c) 36 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12680 and 161670.\nAnswer: 646680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -33. Suppose 16 = 2*q - h. Suppose 0 = b - 3*f - 40, 22 + 15 = b - 2*f. What is the remainder when b is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26351, 26354, 26357, 26360?\n\"Answer: 3*r + 26348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72053?\nAnswer: 72053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djndpndncdnjddndptpc. Give prob of sequence tnd.\nAnswer: 7\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1 + 0*r - 3*r - 2*r**2 + 5*r. Suppose -o + 18 = 2*z + 8, -2*z = -4*o. Suppose -3*d = -4*d + o. What is v(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -629, -946, -1263, -1580?\nAnswer: -1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 229483?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -2, -3, 0, -4\/9, -3.2.\nAnswer: -3.2, -3, -2, -4\/9, 0, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 177*j**2 - 165*j**2 + 15*j - j**3 + 6 + 4*j**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 4*y - 1. Let p be b(3). Let l = -482.5 + 481.9. What is the third biggest value in p, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - f - 15175, i - 4659 = -5*f - 881. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -167.605 - -168. Let z = -0.395 + q. Let u = 5 + -6. What is the second smallest value in z, -2\/15, u?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30522101 + -6?\nAnswer: 30522062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = -l + 13*h + 14, 2*l = 2*h + 28. Find the first derivative of 28*f**3 - 62 + l - 19 wrt f.\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 4*k - 2*k)*(k + 5*k - k)*(-22*k - 81 + 81 + (-3 + 1 + 4)*(-3*k + k + 3*k)*(-8 + 9 - 7)) as j*k**3 + x + d*k + r*k**2 and give j.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21263*k = 21265*k - 46 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168.99851 - 169. Round a to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1220 = -5*k + 437, 1675 = 2*x - k. What is the least common multiple of 8 and x?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 119*i - 417 + 134. Put i, 2, -1312 in descending order.\nAnswer: i, 2, -1312","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5000 (base 14) to base 6.\nAnswer: 143304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4508437146 to the nearest integer?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -68*i + 4610. Let s be j(67). Put -4, 1\/2, s, 5, 1 in decreasing order.\nAnswer: s, 5, 1, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Suppose 4*g - 16 = -3*a, -i*a + 13 + 8 = 3*g. Calculate the lowest common multiple of a and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -189322845, -189322844, -189322843?\n\"Answer: l - 189322846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11472444 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/2)\/(-8*8\/128). Let i = -34 + 50. Solve t*v - v = i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4, 2\/142193 in descending order.\nAnswer: 13, 2\/142193, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - -21. Calculate the remainder when a is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybzzx. Give prob of picking 1 y and 2 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**3 + 2*t**2 - 3*t + 1. Let w(c) = 17*c**3 + 10*c**2 + 7. Let j(d) = -3*h(d) + w(d). Give j(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 2\/3*k**3 + 3\/2*k**2 + 0 - k. Let c(v) = 11*v + 8. Suppose -6*b + 3 = -7*b. What is b*c(p) + 8*g(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7738*n = 7617*n - 2057 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6957638*4\nAnswer: 27830552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:27 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6308796838 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvww when four letters picked without replacement from {w: 2, v: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = 24*a + 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -35, -90, -167?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 13*b**2 - 9*b + 16. Suppose 0 = 4*o - 76 + 24. Let t be n(o). Let i = 111 + t. Solve -5 = 5*m + 5*j, -m + 2*j = -i - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 12684.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3 - 4*t**3 + 7*t**3 - 72*t**2 + 2*t**4 + 80*t + 12*t**3 = 0.\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2961\/(-496) + 6 - (-47)\/(-752).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1187010 and 21128778.\nAnswer: 105643890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10703629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -5 - (-6)\/((-6)\/3). Let c be (3\/x)\/(((-2025)\/(-192))\/(-25)). Suppose -8\/3*f - c + 2\/3*f**3 + 4\/9*f**2 = 0. What is f?\nAnswer: -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -0.8. Let l = 19687 + -98434\/5. Which is the closest to 0.3? (a) x (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -20 - 1\/2*f**2 + 3*f. Let l be m(0). Are 11\/4 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36543, -36486, -36385, -36234, -36027, -35758?\nAnswer: -35421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91411\/173900 + 62\/1739. Find the common denominator of 97\/12 and h.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -49*x**2 + 18*x - 34. Determine w(2).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 equal to -491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 1270*n**2 + 1241*n - 788056. Determine a(635).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 3. Let s be t(-2). Let d be -1 - (0 + s)*-5. Suppose 4*n - n**2 + d + 2*n**2 + 0*n**2 = 0. Calculate n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 15*w**2 - w - 17. Determine p(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**3 + 6*k**2 + k. Let d(f) = -4*f**3 + 5*f**2 + f. Let y be -3 + (18\/27)\/(3*(-2)\/(-72)). What is y*d(o) - 4*r(o)?\nAnswer: -4*o**3 + o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 15*c**2 - 3888*c + 193. Let i = 148 - 86. What is the remainder when u(-48) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4880.645 - 5081. Let g = t - -200. Round g to two dps.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1385\/21948 - 1\/708. Are x and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -591, -582, -559, -516, -447, -346, -207, -24?\n\"Answer: c**3 + c**2 - c - 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0*x + 0 - 1\/70*x**7 - 5\/6*x**3 + 0*x**5 + x**2 + 0*x**4 + 0*x**6. Differentiate v(u) with respect to u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -513, -574, -741, -1068, -1609, -2418, -3549?\nAnswer: -5056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 greater than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 14*n**2 - 29*n + 73607. Is c(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-3))\/(2\/108). What is the highest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 1*1\/(-1). Suppose 11 = -o - m. Let j(n) = -5*n**2 - 5*n - 21. Let c(y) = y**2 + y + 4. Calculate o*c(v) - 2*j(v).\nAnswer: -v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 194 + 86. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 0)*(-2 - 0). Suppose c - 5*v - 46 = 0, 1 = -3*v - 8. Let u = c - b. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 h when four letters picked without replacement from hphhqhhqhhhvphhpqhhh?\nAnswer: 286\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwjamammakakkmmmm. Give prob of picking 2 a.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2412 and 425718?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10517704 divided by 1314713?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s. Suppose 6 = 3*f - s. Find the second derivative of -j**f - 2*j - 2*j + 3*j wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o + 3. Let s(p) = -p - 1. Let x(t) = s(t) + y(t). List the prime factors of x(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1400 is divided by 88?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 80*t + 15. Determine p(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v = -20. Suppose g - 35 = v*h, g - 3*h + h = 20. Solve -4*b + g = -2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 966061520 to the nearest one million.\nAnswer: 966000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*c + 20 = 0, 5*z + 2*c + 6 = -42. Sort 15, 5, z in descending order.\nAnswer: 15, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/3036 and -3\/2.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 + 84. Sort j, -1\/8, -5\/6, 5.\nAnswer: j, -5\/6, -1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 10*q - 7. Let c be n(-8). Let h = 16 - -47. Calculate the highest common factor of h and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 3, j: 5, u: 1}. Give prob of sequence ui.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/11)*k)\/(k*(k\/(k**(-6)*k))\/k))\/(k**(-4\/7)\/(k\/(k*k\/(k**2\/k))))*(k**(-1\/3)\/k**6)\/(k**(-2\/5)*k**(-7)\/k*k) assuming k is positive.\nAnswer: k**(-4093\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + (sqrt(242) + -2 - sqrt(242)))**2 - (sqrt(32) + 5).\nAnswer: -48*sqrt(2) + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1023 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5596.155 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o + 2*b = -16, 3*b + 17 = -o. Let d = -8 - o. What is the third derivative of -h**2 - h - 3*h + 4*h + h**d wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3 (b) 0 (c) -1 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -251*f**3*h**2 - 9473*f**3 - 7*f*h**4 wrt h.\nAnswer: -502*f**3*h - 28*f*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z**2 - 86*z + 72. Calculate i(0).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/204 and 151\/633186?\nAnswer: 21528324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d. Let q(u) = 2*u**2 - 5*u. Let t(r) = 6*r**2 - 10*r - 36. Let z(l) = 2*q(l) - t(l). What is z(p(g))?\nAnswer: -50*g**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -4, 2\/7, 0.4, 0 in decreasing order.\nAnswer: 0.4, 2\/7, 0, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*p + 31, 42*n = 2*p + 45*n + 9. Suppose 15 = 5*y + 5*r, y - 5 = -2*r - r. Solve y = 2*b, -p*z - 3 = -5*b + 2*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4*w**2*w*w**(2\/11)*w*w*w\/w**(-5)*w*w)**(13\/4) assuming w is positive.\nAnswer: w**(2457\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 24*h**3 - 59*h**2 + 106*h + 129. Let r(y) = -16*y**3 + 39*y**2 - 71*y - 86. Let a(w) = 5*o(w) + 7*r(w). Let v be a(19). Round v to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -5239 + 31. Calculate the smallest common multiple of 35 and t.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**3 + 449*a**2 - 4*a. Let q(n) = -n**3 - n**2 - n. What is 3*q(j) - x(j)?\nAnswer: j**3 - 452*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/125, 5, -21 in descending order.\nAnswer: 5, 14\/125, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -159311966.3 to the nearest 10000.\nAnswer: -159310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -73 (b) -2 (c) 0.4 (d) -3 (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a - 12. Let g be c(-12). Suppose 5*j - g = 2*j. Calculate the greatest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 2:10 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-91)\/(-21) + 2\/3. Put k, 6, -4 in decreasing order.\nAnswer: 6, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1255534 - -5?\nAnswer: -1255525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 142 - 0?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 245645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422 (base 7) to base 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -229*t**2 + t - 11. Let k = 638 - 641. Let o(n) = 230*n**2 - 3*n + 12. Let r(h) = k*c(h) - 2*o(h). What is the second derivative of r(s) wrt s?\nAnswer: 454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**4\/4 + 10*z**3\/3 - 5*z**2 + 10*z + 85. Determine y(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39642137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*s - 1 = 0, 19 = 5*o - s + 4*s. Let q(r) = r**3 - 7*r**2 + 9*r - 9. What is the smallest common multiple of o and q(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34, -161, -288, -415, -542?\n\"Answer: -127*g + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) 4\/7 (b) 0.123 (c) -1\/189 (d) 1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 203*r + 3626. Calculate p(117).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(-1\/4)\/g)\/g))\/g**(-4\/3)*g**0*g**(-9))\/(((g**(-8)\/g*g)\/g**(6\/5))\/(g**(-2\/3))**(-1\/14)) assuming g is positive.\nAnswer: g**(2029\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 27. Suppose u - a = -2*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4066 - -4062. Let k = -5 + 7\/2. Which is the second biggest value? (a) k (b) 1 (c) z (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 677 - 668. Suppose 4*m = -4*r + 22932, -4*m + 22964 = -k*r + 5*r. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {r: 4, g: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + -1 + (3 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2012729 + -0.3.\nAnswer: -2012729.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -127?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00957925 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/2)\/p*p\/((p\/(p*p**(-1\/2)\/p))\/p)*p*(p**(-1\/2))**(2\/11) assuming p is positive.\nAnswer: p**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.093 and -315.\nAnswer: 29.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 16650801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*1)\/(69*(-43)\/(-13846))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 0 - 2*j + 1\/4*j**4 - 1\/2*j**2 + 0*j**3. Differentiate x(c) with respect to c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 878153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 37. Suppose 0 = -n*y - 3*g + 7, -9*y + g = -6*y - 7. Calculate the smallest common multiple of 13 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 5*q - j, 7 = -2*q - 4*j - 51. Let l = -18 - q. Let x(n) = 60*n**3 + n**2 - 2*n + 1. Does 15 divide x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2) + sqrt(8)*6 + 2 + sqrt(10)\/sqrt(5))**2.\nAnswer: -84*sqrt(2) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 2\/5 (c) -5 (d) -2\/3 (e) -3\/146693 (f) 27 (g) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2217\/67012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 2)*(32 - 20 - 23*y**3 - 14).\nAnswer: -138*y**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -24*m + 40*m + 49*m + 36*m. Let p(q) = -4*q. What is i(p(s))?\nAnswer: -404*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-5*v + 4*v + 4*v)*(-5*v - 9*v + 4*v).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 4*1*sqrt(891))*-1)**2.\nAnswer: 72*sqrt(11) + 14257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 13550251?\nAnswer: 13550246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(1600\/(-620)) + 25\/(-4) + 6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -677667 and -677667 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + 1167 - 1507 = -22*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-261*b**4 + 430*b**4 - 1363*b**4)*(b + 0*b - 3*b).\nAnswer: 2388*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 89*l**2 + 278*l + 289. Give c(92).\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 5*r**2 + 8*r**2)*(-5*r**2 + 7*r**2 + 2*r**2) + r**2 - 2*r**4 - r**2.\nAnswer: 14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.3. Suppose 4*n - 1 = p - 24, 4*p - n - 17 = 0. Let o = p + -2. Which is the closest to z? (a) 2 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299709718?\nAnswer: 2, 7, 11, 389, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -13. Solve q*j - 12 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1177 and 5.\nAnswer: 0.5885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -129426, -129635, -129984, -130473, -131102, -131871?\n\"Answer: -70*p**2 + p - 129357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 11:20 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*2\/4 + (-17918)\/4. Let i = 9709 + k. Is (-4)\/12 - i\/(-6)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**6\/120 + z**5\/4 + 13*z**4\/24 - 19*z**3\/6 - 11*z**2. Let u be q(-14). Is ((-2)\/(-4))\/(u\/(-70)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44635 is divided by 3032?\nAnswer: 2187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14033892, 4\/5.\nAnswer: -14033892, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -130810, -522180, -1174464, -2087662?\n\"Answer: -130457*x**2 + x - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*r - 1575 + 3148 - 1573.\nAnswer: -41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*v + 17, 4*v + 23 = 3*g + 2*v. Suppose -2*s = -4*s + 5*n + 12, 4*s - 24 = -g*n. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 5*s + 4637 + 230, 3*t = -2*s - 3659. Let r = -864 - t. What is the remainder when r is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m*y**5 + 1097*m*y + 2*m - 822*y**5 wrt y?\nAnswer: -20*m*y**3 - 16440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -71 - 25) + -14 - (54 + 2)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/78 - 17*s**4\/156 + 18*s**3\/13 - 109*s**2. Factor w(h).\nAnswer: -2*(h - 2)*(5*h + 27)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (1 + -1)) + (10 - 12) + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 41 - 1 = 0. Suppose 3*j + p = 6*j. Let l(g) = 4*g**3 + g**3 + 0*g**j + 3*g - 2*g**3 + 4*g**2. Give l(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 33*o - 665. Determine x(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 + 31. What is the common denominator of -1 + (7\/f)\/((-3)\/9) and 19\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3290)\/(-105) - 31)\/((-39)\/54)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*c - 1541 = 80*c + 77*c + 87*c for c.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3241*w - 1343*w - 1896*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1128.9*0.4.\nAnswer: 451.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1409 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 371 and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4 + (sqrt(891) + -2 - sqrt(891)) + sqrt(891) + 3 + sqrt(891) + -1 - -6*(-5*-1*sqrt(891) + -2)))**2.\nAnswer: -6912*sqrt(11) + 912528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 860416237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/49, 8, -2 in descending order.\nAnswer: 8, 5\/49, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1752, -1777, -1814, -1869, -1948, -2057?\nAnswer: -2202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:58 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 119739, 119442, 119143, 118842, 118539, 118234, 117927?\n\"Answer: -a**2 - 294*a + 120034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1372 and 16?\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 - 40) + (2 - (-1 + (0 - 1))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**7\/840 + n**6\/72 - n**5\/120 - n**4\/24 - 4*n**3\/3 - 3. Let x(z) be the third derivative of v(z). Determine x(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55735, 111464, 167199, 222940, 278687, 334440?\nAnswer: 390199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248225 is divided by 4134.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793185046.\nAnswer: 2, 396592523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 894.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiiiiitrsqqitqtriwwt. What is prob of picking 1 r and 1 q?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5 + 630*s**4 + 9357*s**3 + 11664*s**2 - 53904*s + 32256 = 0. What is s?\nAnswer: -12, -4, 1, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2256.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 177?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*k + 2*u + 2*u, 0 = 4*u - 12. Find the first derivative of 6*i + 22 - 8*i + k*i wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 w when four letters picked without replacement from wnwwwn?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16498.23 millilitres in litres?\nAnswer: 16.49823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 214*o - 3789 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*i**2\/3 + 3044*i\/3 + 880.\nAnswer: 2*(i + 60)*(25*i + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -36a (base 15) to base 3\nAnswer: -1001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993 is divided by 78.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 216 - 219. Let w be -5 - (i + (3 - 6)). Sort w, 6, -21.\nAnswer: -21, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:02 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 2. Suppose 3 = -o, -2*n - 5*o - 59 = -t*n. Solve -2*b - n = 4*q, -q = -3*q - 3*b - 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*n + 2. Suppose 3*f + 31 = 4*b, 2*f - n*b + 30 = 12. Let k = 4 - f. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d70 - 5?\nAnswer: -d75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*3238.62.\nAnswer: 388.6344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1554156 and 828?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-189)\/315)\/(21\/(-10)))\/(66\/32109).\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 17 = -5*w + 48, w - 1 = -2*t. What is the remainder when 31 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*a = -0*m + 1436, -5*m + a = -1802. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116164049 to the nearest integer?\nAnswer: 10778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -11. Suppose f = -5*m + 5, 0*w - 26 = -3*w + 4*m. What is the units digit of 216\/30 + (-2)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l + 3. Let a = -359 - -369. Suppose 0 = a*o - 15*o + 110. Let c(n) = 77*n + 22. Give o*w(f) - 3*c(f).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/3960*-10 - 86\/(-330).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23301429 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 13. Suppose g*i = -2*t + 24, -2*i + 16 = 2*t + 3*t. Suppose 2*y = 15 - 3. Calculate the lowest common multiple of y and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24331 and 667.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 84\/224*(-8)\/(-1). Put 4, -12, -5, q in ascending order.\nAnswer: -12, -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - ((-6)\/(-9) - 0). Let q be 6\/(-10) + 22\/70. Which is smaller: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 12*u + 294 = 0. What is the lowest common multiple of u and 1539?\nAnswer: 10773","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**3 + 38*l**2 + 26*l - 569. Calculate v(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27778045 to the power of 1\/2, to the nearest integer?\nAnswer: 5270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279654554 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 15*c**2 - c + 56. Calculate a(15).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1548\/16*(-1972)\/(-51)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + -4 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 14*v + 22. Let r be c(4). Let m = r - 73. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123131.\nAnswer: 3, 317, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 9*v**2 + 5*v - 6. Let r be h(-8). Let w = 25 + r. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 12 = 9*y. Solve 0*b + 4*b = -y*v, 0 = -3*v + 4*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 495809 - b**3 + 5*b.\nAnswer: -b**3 - 495809","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwtwtwwwwwwww. Give prob of sequence twt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-3\/8))\/n*n*n**4*(n*n**1)\/(n*(n\/(n**(-2)\/n))\/n))**(26\/5))**50 assuming n is positive.\nAnswer: n**(1365\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 237836476 and 8456.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -w - 5*y + 1, 5*w + 11 = 3*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 640*0.03.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - v**2 + 4. Let d be n(-3). Suppose -5*x = -3*l - d, -x - 18 = 5*l - 0. Is (-1 + x)*(311 + -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3794234, 3794233, 3794232, 3794231?\nAnswer: 3794230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cycyrryryrrrrr. Give prob of sequence ycc.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3846*m + 673037. Determine z(-175).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 814*g**2 - 33*g + 138. Is r(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195645 is divided by 97812.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 - 1. Let z be -3 + (-3)\/(12\/122). Let r = -331\/10 - z. Put -3, j, r in ascending order.\nAnswer: -3, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - d + 22 = 3*d, -4*y - 3*d = -17 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 586493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, -534292, 0.055, -3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 8*v - 114 = 0. Let z = -27 + v. Solve 1 = -4*y - z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 + 74. Let l be (-840)\/f - (0 + (3 - 3)). Calculate the highest common divisor of 75 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32 + 54 - 54*q**2 - 16 - q wrt q.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 203.34 - 2.34. Let v = -200.9999969 + a. Round v to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 11. Suppose 0 = i + n*g - 4*g, 3*i - g + 4 = 0. Let o = -2 - i. Let f(a) = -a**2 + 2*a + 1. What is f(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 630 and 525.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147536 = 279*h + 168740 for h.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (17\/(-68))\/((-1)\/(-4))*-1129. Suppose -n + 393 = -0*z - 5*z, -k = -3*n + 5*z. Calculate the least common multiple of n and 16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/6, -4, 11.13424 in ascending order.\nAnswer: -4, -1\/6, 3, 11.13424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/5 + 12*w**4\/5 - 4*w**3.\nAnswer: -w**3*(w - 10)*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4921 and 5.9.\nAnswer: -29033.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*i**3 - 17*i + i**2 - 10*i**3 - 10*i**3 as u*i**3 + q*i**2 + l + w*i and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74674? (a) 1\/3 (b) 0.5 (c) 0.2 (d) 0.1 (e) -2\/91\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12559601, -12559605, -12559611, -12559619?\n\"Answer: -t**2 - t - 12559599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.1 and 27969.\nAnswer: 27962.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 299*l**6 + 66*l**4 - 76*l**2 - 2*l + 136 wrt l.\nAnswer: 35880*l**3 + 1584*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*q = -6*a + 144, -4*q - 82 = -3*a. Suppose r - a = -f - 3*f, -f + 18 = -5*r. Suppose -c = c - f. Solve -c*t - v - 3 = -6, -3*v - 8 = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*d + 24*d - 8*d - 9*d - d**4 + 18*d**3 to the form w*d**2 + s*d**3 + p + z*d + o*d**4 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 9*h - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 5*c - 2*c)*(42 + 68*c**2 - 42) + 9*c**3 - 5*c**3 + 0*c**2 + c**2.\nAnswer: 140*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/3)\/u)**19*(u**(-11))**17 assuming u is positive.\nAnswer: u**(-751\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42 + 39)\/((-1)\/(-13)))\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m - 310 + m + 310. Let b(l) = -19*l + 5*l + 6*l + 7*l. Calculate b(t(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -599*k**3 + 602*k**3 + 13*k + k**4 - 12*k - 1 as q*k + f*k**2 + g*k**4 + n + y*k**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -443666 divided by 245\nAnswer: -443666\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/2256420 and -43\/30?\nAnswer: 2256420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/42)\/((-2)\/4). What is the closest to r in -1, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1752 and -67\/32412.\nAnswer: 64824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65486 and 6?\nAnswer: 196458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8137, -8079, -8005, -7909, -7785?\n\"Answer: d**3 + 2*d**2 + 45*d - 8185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -206*b**3 - 2*b**2 - 1. What is the remainder when h(-1) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -2. Let k be (2\/t)\/((-3)\/15). What is the first derivative of -j + k - 2 + 1 wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3256 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (6 + (-12 - -2) - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.4, -7, -1\/2, 2.2 in ascending order.\nAnswer: -7, -1\/2, -0.4, 0.4, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 499 - 344. Calculate the remainder when v is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23628468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14486*h + 57965*h - 43478*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*f = 173 - 723 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - -118. Calculate the remainder when (-232)\/(-6) - (-1)\/a is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 53205*p + 319240. What is i(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 4555*m - 4554*m - 204, 2*y - 52 = 39*m for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f**2. Let k(q) = -265420*q + 1. What is k(u(b))?\nAnswer: -2123360*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226 (base 16) to base 15.\nAnswer: 26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4 + 2 + 2*y - 9*y - 6 + y**2. What is the units digit of p(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-15)*35\/(-14). Which is the second biggest value? (a) w (b) -0.04 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v**3 + 9*v**2 - 34*v + 25. Let q be n(1). Sort -5, q, 289 in ascending order.\nAnswer: -5, q, 289","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/498 and 21\/17762?\nAnswer: 53286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16 - 0.05. Let s = x - -0.165. Let d = s + 0.0450188. What is d rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z. Let i(m) = -60921*m**2 - 3. Determine g(i(j)).\nAnswer: -243684*j**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 9:29 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3335*t - 10*t**2 + 6713*t + 3*t**2 - 3378*t.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 4:54 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*s**2 - 24*s**3 - 42*s**3 - 28*s**3 - 8*s**3.\nAnswer: -102*s**3 - 96*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329657, 659314, 988971, 1318628, 1648285, 1977942?\nAnswer: 2307599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25133, 25126, 25119?\n\"Answer: -7*v + 25140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7446 - 7440. Let f(d) = 11*d - 68. Give f(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138319787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 469 (b) 15 (c) 2 (d) 5 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14\/5 + 108\/35. What is the nearest to 0.1 in -2\/3, 1\/7, n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 6*i**2 - 5*i - 6. Let p be n(7). Let c be (5\/(-3))\/((-125)\/225). Solve -c*d - p = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4501446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-14)*4\/12*-14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*g + 5*g - 6*n = -556, -3*n + 112 = -2*g - 162 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-6))\/(80\/(-2520)*42).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53680*f*z**2 - 11496*f*z - 2*z wrt z.\nAnswer: -107360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5 - 1. Suppose 7*o + 2*h - 68 = p*o, 0 = o + h - 13. Calculate the remainder when 27 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 4*a = -10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000144794 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 14*d + 2. Let m be y(6). Suppose -375 = -4*n + 3*t, -157*t + 310 = 3*n - 165*t. Let u = m - n. Put 5, u, -2 in ascending order.\nAnswer: u, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*a + 36*a + 18*a + 52*a + 44*a.\nAnswer: 77*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: a (base 16) to base 10\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -297*k + 8109. Let t(p) = p**2 - 302*p + 8110. Let s(h) = -3*t(h) + 2*y(h). Factor s(i).\nAnswer: -3*(i - 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(18)\/sqrt(3) + sqrt(6) + sqrt(6)))\/(sqrt(720)*1).\nAnswer: sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 - 3*w**3 - 27*w**3.\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7\/35 + (2 - 2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/10 and ((-189)\/243)\/(0 - (-18)\/15)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27585 (base 9) to base 8.\nAnswer: 44423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 * -6.\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 438 - 694. Let u = m - -1282\/5. Which is the closest to 3? (a) 3\/14 (b) u (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**3 - 31*d**2 + 74*d - 22. Is h(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 54 = -2*m, -2*c - 4*m = c - 24. Suppose 0 = 3*n + c, 0 = 2*w + 3*w + 4*n + 31. Let d be w\/(-2)*4\/12. Is -2 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmumcccmmuumummcc. What is prob of sequence cm?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, n: 2, w: 3}. What is prob of picking 1 n and 3 w?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -241111110*r**2 + 241111113*r - 3 = 0.\nAnswer: 1\/80370370, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 3 + (3 - 6 + 2)*(-4 + 1 + 1))*(-2*b**4 + 74*b + 0*b**4 - 83*b)*(-6*b + b + 3*b)*(-2 + 2 + 1).\nAnswer: 20*b**5 + 90*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 9. Let b be v(10). Let o(l) = l**2 - l - 1. Let q(d) be the second derivative of d**4\/3 - 7*d**3\/6 - 4*d**2 - 52*d. What is b*q(n) + 6*o(n)?\nAnswer: 2*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 742 and -0.2.\nAnswer: -148.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.180433 decades?\nAnswer: 861.65196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -1, -517?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d + 7 + 2*d - 2*d - 3*d - 2*d + 6*d + d + 3*d - 3*d - 4 + 4 + d + (-4*d + 3*d + 0*d)*(-2 + 3 - 2) + 6*d + 0*d - 4*d + 0*d + d + 0*d + 1 + 2*d - 1.\nAnswer: 12*d + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 39*v + 15)*(4 - 3 + 2)*(-42 + 49 - 27) to a*v + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g - 8*g + 19*g. Let c(d) = -4*d. Let b(o) = 26*c(o) + 6*k(o). Let z(a) = -2*a**2. What is b(z(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2 + 18*o + 33. What is m(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 1010, 2285, 4070, 6365?\nAnswer: 9170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-35))\/(171\/45)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.27 and -10.3.\nAnswer: 146.981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 51 + -1 + ((-82)\/21 - 496\/5208). Sort 3, m, 6, -5 in increasing order.\nAnswer: -5, 3, 6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 28*i - 38. Sort -0.2, 0.4, i, 2\/37 in decreasing order.\nAnswer: i, 0.4, 2\/37, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1098*v**2 + 0 - 1383*v**2 + 0.\nAnswer: -285*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 = -w, -3*d - 23 = -w. Let u = d + 13. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -1 + (54\/6 - 7) and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/21 + -16\/21. Which is bigger: 679 or q?\nAnswer: 679","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 850 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*u - 31*u - 48*u as y + l*u and give l.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -41\/5. Is 14 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/16 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, -3\/92, 6\/35?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9167587 by -6.\nAnswer: 9167587\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -8c5692?\nAnswer: 8c5686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o - 68. Let x be b(12). Find the third derivative of 46*i**4 - 9*i**2 + 6*i**6 - x*i**4 - 2*i - 2*i**3 + 42*i**4 wrt i.\nAnswer: 720*i**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/30 and 2802\/(-280) + (-176)\/(-16).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.359881 - 9\nAnswer: -6.640119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 34. Let h = 2 - m. Let k = h + -11.4. Round k to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1800\/7*g**3 + 2\/7*g**4 + 406802\/7 + 403196\/7*g**2 - 811800\/7*g = 0.\nAnswer: -451, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/394548 and 73\/7084.\nAnswer: 9074604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2\/3 + 2620*s - 15704\/3 = 0.\nAnswer: 2, 1963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 854*k + 27325. Give d(32).\nAnswer: -1027","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*y = -341 - 19. Suppose 3*u - 10 + 1 = 0. What is the remainder when y is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60173*j = -60149*j - 264 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19544*l - 7*l**2 + 19544*l + 2342 + l**2 - 2341.\nAnswer: -6*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 22 - 92)*(-4*i - 2*i + 4*i).\nAnswer: 196*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 7*l**2 - 4*l + 8. Let s(x) = -x - 4*x + x**2 + 4*x + 13 + x**3. Let u be s(0). Let b = -19 + u. Determine y(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 29*x - 7. Let f be v(15). Suppose f*u = -24*u + 64. Which is smaller: -11 or u?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16335 and 18315?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -168, -294, -440, -612, -816?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37, 131, 271, 457, 689, 967?\n\"Answer: 23*u**2 + 25*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnjnjjnjnnnnnjnnnnn. Give prob of sequence jjnn.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 1. Let k = -20.0353 - -0.0353. Which is the second smallest value? (a) -2 (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 8.03. Let t = 0.0300004 - u. Round t to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 96 + 27)*(3*o**3 + o - o).\nAnswer: 171*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3183182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-54)*84 - 6\/27 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 390*c. Let o(g) = -3*g**2. What is l(o(j))?\nAnswer: -1170*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*x + 4*x + 17*x - 19*x as l*x + c and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:10 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-5))\/(2\/(-30)). Suppose z*f + 20 = 2*f. Let d(o) be the third derivative of o**5\/60 + 7*o**4\/24 + 7*o**3\/6 + o**2. Give d(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*z + 20 = -2*o, -5*z = 25. Solve 0 = -5*d + w - 10, o*d - 5*w + 26 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, n: 1}. What is prob of picking 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 578 divide 211963582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 286030757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(24)\/sqrt(4)))\/((sqrt(12) - sqrt(192))*-3 + sqrt(12)).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -7\/6*n**2 + 2\/3*n + 7\/12*n**4 - 17 - 2\/9*n**3. Solve y(p) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {x: 15, u: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d. Let r(f) = 4*f. Let s(v) = -13*j(v) - 6*r(v). Let w(n) be the first derivative of n**3\/3 + 2. Calculate w(s(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/10, 2\/3, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1. Let d(j) be the first derivative of 3*j**4\/4 - 2*j + 4. What is -d(s) + 2*n(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*d = -287*d - 172*d + 9164 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 5*a + a - 2*a)*(0*a**4 + a**4 - 2*a**4).\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -10. Suppose 5*t - 49 - 6 = 0. Solve -i*c + 5*d = 2*d, c + 4*d = -t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 p, and 2 t when four letters picked without replacement from tbttpwpwwtptdwdw.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1097 - 1146 + 24*a + 2202 wrt a?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 8)*(0*n**2 - 5*n**2 + 3*n**2)*(-3*n + 4*n + n) to l*n + x*n**2 + d*n**3 + s and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -12\/5*m - 12\/5*m**4 + 3\/5*m**3 + 3\/5*m**5 + 6*m**2 - 24\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 - (4 + (-1 - 2) - 12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 - (-3 + 7)) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -308262 divided by -154131\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.25596321 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2\/2 + 11430*s - 21774150 = 0. Calculate s.\nAnswer: 3810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2108 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s + s)*(-s - 2 + 2)*(2*s**3 - 3*s**3 - s**3 + (2*s**2 + 7*s**2 - 3*s**2)*(3*s + 4*s - 6*s)).\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Suppose 174 = 3*v - c*h, 5*h = -3*v + h + 209. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.387886 rounded to 2 dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357819.1 rounded to the nearest 10000?\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m + 6*m - 2*m + m**2. Let t = -95 + 69. Let c(z) = z**2 + 26*z - 1. Let f be c(t). Calculate k(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**5 + c**5 - 6*c**5 + (3*c - 3*c + 6*c**2)*(5*c - 3*c**3 - 5*c).\nAnswer: -19*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 0)\/(3\/15). Suppose -q*b - 4*h = -0*b - 16, 0 = 3*h - 12. Is b greater than 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -701\/16 + 49. Calculate the common denominator of 101\/14 and a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38471588 to the nearest 10000.\nAnswer: -38470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 603645690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 + -2 - -18) + (1255 - 1407)\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-10 - (-18 + -9 + 7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1311 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 13*p + 210 = 0. Suppose -v + k + 20 = 0, k = 3*v + 4*k - p. Suppose 5*u - v = 8. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (3 + (1 + -7 + 0 - 10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -9*s + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16817983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -614 or -657?\nAnswer: -657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p)\/(p**2\/p)*(p*p**(-4))\/(p*p**1)*(p\/(p\/(p*p**(2\/7)*p)*p))\/(p**(-2)\/p*p)*p**4 assuming p is positive.\nAnswer: p**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -123 - -126. Suppose 0*u = -3*u - 3. Let p = u - -3. Sort -3, q, p in increasing order.\nAnswer: -3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27608 divided by -4.\nAnswer: -6902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v*v\/v**(-8\/3)*v)\/v)*v)\/v)\/(v\/v**(-3))*v**(-1\/3)\/v**(3\/4))**41 assuming v is positive.\nAnswer: v**(-1435\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 29*l = 110. Calculate the remainder when 742 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 + 92*h + 23 - 62 in the form x + o*h and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.97 - 7. Let f = -0.43 - s. Let a = f - -0.5. Is a not equal to -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u**3 - 8*u**2 + 6. Suppose 30 = t + 5*q - 10, 3*q = 3*t - 48. Let r(v) = 10*v**2 - t*v**3 + 15*v**2 - 17 - 2*v**2. Determine -6*r(d) - 17*x(d).\nAnswer: d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-6)*(-396)\/1155. Let l = 0.5 - 0.6. Which is the nearest to -0.1? (a) -2 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98759303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54897272?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/12*(-71)\/(-14). Let u = -6503\/1776 - 3\/592. Let j = u - y. What is the nearest to j in 0.4, 0.1, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f**3 + 13*f**2 + 7*f - 7. Let j(g) = 7*g**3 - 9*g**2 - 4*g + 4. Suppose 3*h - 2 = 7, -3*h = 5*s + 16. Let a(l) = s*v(l) - 7*j(l). Calculate a(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 32580\/91757?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 9*a)*(-10 + 10 + 7)*(-2*a - 1 + 1) in the form h + b*a**2 + f*a and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 42*q - 256. Let b be j(6). Which is smaller: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 152, 4, 0, -5 in increasing order.\nAnswer: -5, 0, 4, 5, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**8*i*i\/i**(1\/2)*(i\/(i**7\/i))\/i**(-2\/5))\/((i**8\/i)\/i**(-5\/4))**(-47) assuming i is positive.\nAnswer: i**(7553\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168852*s**2 - 97810*s wrt s?\nAnswer: -337704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 23 = 5*x, -569*x + w + 7*w = -571*x - 18 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135647 is divided by 189256?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0. Let v(t) = -t**3 + t + 1. Let s be v(w). Let g be (20\/(-4))\/((-1)\/(-1) - 2). Calculate the greatest common divisor of g and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15*n**3 + 3*n**2 + 903*n + 903. Let x be o(-1). Let h be (1 - -18) + (0 - -1). Is h at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 7. What is t(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116*w + 2\/7*w**2 + 810\/7.\nAnswer: 2*(w + 1)*(w + 405)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 2:43 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 9 = -5*g, -7*p + 3*p - 5*g = -64. Let o(w) = -p + 5 + w**2 - 4*w - 5. Let t be o(8). Solve 3*k + 2*q - q = -17, 0 = -3*k - 3*q - t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/4, -20, 7, -0.4 in decreasing order.\nAnswer: 7, 0.1, -1\/4, -0.4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 14912 = -3*q - 147732, 2*a - 3*q = 66410. List the prime factors of a.\nAnswer: 5, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 812008325 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -299 + 3291\/11. Sort z, -0.2, 3 in decreasing order.\nAnswer: 3, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 10*l**2 - 2*l + 9. Let y be h(8). Let v = y - -202. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354592.437 take away -0.751141?\nAnswer: 354593.188141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.97 - -0.03. Let h = v - 0.86. Is -0.1 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37916 and -26.\nAnswer: 985816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.5. Which is the biggest value? (a) -4 (b) -2\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/4*(-12)\/(-168).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/24 and 151\/9962718.\nAnswer: 39850872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - 4*t - 2*t + (1 - 1 + 2*t)*(-4 + 4 - 4) + 5*t - 3*t + 0*t + 2*t + 0*t - 4*t to u*t + h and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 - (-3)\/2*(-3)\/3*-8234.\nAnswer: 2, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1797085, 28\/5, -3\/7 in ascending order.\nAnswer: -3\/7, 28\/5, 1797085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 266 = -0*x + 2*x, 0 = -2*x + 3*k + 268. Calculate the remainder when 389 is divided by x.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - ((-33)\/15 + 3 - 1). Is n at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 30 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -8. Let u be 1 + n\/(-2) + 0. Suppose 11 = u*h - 1. Solve -2*m + h*m = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 275\/2 in 0.3, -427, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1936, -1937, -1938, -1939, -1940, -1941?\n\"Answer: -i - 1935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 995646, 995685, 995724, 995763, 995802, 995841?\n\"Answer: 39*r + 995607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004423663 rounded to four decimal places?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 31*n**2 - 58*n + 3. Let m be i(29). Let l be -12 + m - (-84)\/9. Factor 8\/3*c**2 + 0 - 4\/3*c - 5\/3*c**3 + l*c**4.\nAnswer: c*(c - 2)**2*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011146 rounded to four dps?\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/40)\/((-1)\/(-2)) - (-47050)\/200.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u - 15 + 67 + 101 to the form c*u + f and give f.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -5 (c) 1\/4 (d) -515 (e) 5\/121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**3\/6 - 6*k**2 - 3*k. Let r be o(-6). Let x = r - -11. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1104371 and 714.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 12*l + 6. What is w(8)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 38. Suppose -k*x + 18 = -t, 4*x + 2*t = -0*x + 12. Suppose -g - 2*i = x*g - 883, -2*i = -4*g + 710. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*s, 0*n + 735 = n + 4*s. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 441.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*4 + (-266)\/56)*-84. What is the highest common factor of o and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 251511 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -5 (c) 5 (d) 19\/5 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29120859893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-9)\/5))\/(54\/162)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(3888\/495) + (-28)\/(-8)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12481*-222.\nAnswer: 2770782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 9. Let v(w) = -w**3 - 18*w**2 - 18*w - 12. Let h be v(g). Suppose -h*u + 158 = -6*k + 5*k, 121 = 4*u + k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q. Let t(w) = -233593*w. What is p(t(k))?\nAnswer: 934372*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 19375 and 19389 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -10*a - 17. Let u be c(-2). What is the highest common factor of 69 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 632\/5 - 4\/10. Suppose -4*i + 6 = j, 3*j - 48 = 7*i - 4*i. What is the greatest common factor of j and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196*c**4\/5 - 2774408*c**3\/5 + 9816846292*c**2\/5 + 8415968496*c\/5 + 1803531024\/5.\nAnswer: 4*(c - 7078)**2*(7*c + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 - 20*t + 3. Determine s(-6).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 10. Let u be ((-1)\/(-6))\/(v\/12). Suppose 0 = 11*d - 378 + 367. Which is the closest to u? (a) -1 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7419*a - 22221. What is f(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*((sqrt(2156) + 0)*-5)**2 + -1)*4.\nAnswer: 2587196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 27931005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-6) - (-539)\/66. Let q be (-2)\/8 - 158\/s. What is q rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 1 + 10 = 0. Let d(y) = 11*y**3 - y**2 - 2*y. Let j be d(q). Let w be ((-9)\/(-6) - -1)*j\/(-5). Solve 22 = w*v - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1 - 9 = -2*c, -3*c + 2*b = -4. Solve 3*k = 6 - c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111111 - -111?\nAnswer: 10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*j + 107*j = 3*l + 27155, -2*l = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -26. Let t(j) = j**2 - 6*j - 3. Let r be t(b). Let f be r\/52 + (-2)\/8. Solve 4*d + 3 + 17 = f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1 - 120\/(-80))\/((-66)\/(-352))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240, 973, 2194, 3903, 6100, 8785?\nAnswer: 11958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6101 + 6102. What is the nearest to 2\/9 in 321, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**3 - 33*y**2 - 81*y + 2. What is g(-3)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29811 + 30016. List the prime factors of b.\nAnswer: 29, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2198*q + 219659 = -7305*q - 759*q - 498681 for q.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:16 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957332 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/216 + -175\/108. Calculate the common denominator of 31\/73 and k.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 - 5 = 0. Suppose -4*x + p + 2 = -u, -5*x + 13 = 3*u. Let b(k) = 22*k - 1. Does 7 divide b(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 7. Let j be k(-9). Let d be -7*(-3 + j) + -3. Find the second derivative of -3*s + d*s**4 - s**4 + 0*s wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1624631, 6498541, 14621725, 25994183, 40615915?\n\"Answer: 1624637*t**2 - t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-4)\/(-30)*486\/(-36).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*i - 86*i - 1222 = 23*i + 6078 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55234681 is divided by 1071?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 666325.6 weeks?\nAnswer: 4664279.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-1)*(-56 + 7). Suppose 2*b = -10, 2*j + b = u - 61. Suppose j = 3*v - 4*p, -5*v + p - 32 = -7*v. Calculate the smallest common multiple of v and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113118961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.94 plus 29.3?\nAnswer: 31.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**5\/20 + s**4\/24 - s**3\/3 - 2. Let j(y) be the third derivative of o(y). Is j(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 591.393 - 590. Let i = a - -0.662. Let g = 0.165 + i. What is g rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*x - 504, -4*x = x - r - 833. Let p = -1635 + 1648. What is the third derivative of 6*t**2 + 166 - x + p*t**5 - 22*t**2 wrt t?\nAnswer: 780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 13*d - 21. Let x be j(12). Let n be (-2)\/(-13) + x\/39. Find the first derivative of 4*l**n - 5 + 3 + 9 + 1 wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 8) to base 13.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -200768*x**6 - 7*x**2 + x + 19418.\nAnswer: -24092160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -80*z - 127. Let y(t) = 256*t + 407. Let j(b) = 45*l(b) + 14*y(b). Let q(s) = -2*s. What is j(q(o))?\nAnswer: 32*o - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2. Let f(k) be the second derivative of k**7\/840 - k**6\/240 - 25*k**4\/12 + 14*k. Let n(q) be the third derivative of f(q). What is m(n(w))?\nAnswer: -18*w**4 + 36*w**3 - 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 871 = 47. Let y = 37 - x. List the prime factors of y.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 12:06 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (-6 + 18 + -42).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 464700 to the nearest 1000.\nAnswer: 465000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2*sqrt(288))*6)**2.\nAnswer: -6912*sqrt(2) + 42048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**5\/60 - 2*y**4\/3 - 26*y**2. Let w be z(-6). What is the greatest common divisor of w and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from tttwttwtwwwwwwwfw?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54644 + 310651076\/5685. Calculate the common denominator of -133\/2274 and p.\nAnswer: 11370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 e when three letters picked without replacement from kkxkkkkkxxkkkkeek.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 484, 483, 484, 487, 492, 499?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*h)*(-6 + 3 + 2)*(2 - 4 + 1)*(-2754 + 2754 + 194*h).\nAnswer: -388*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5888.1 to the nearest 100.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*w - 630, 5*o + 4*w - 4047 = -2444. What is the greatest common divisor of 6235 and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + 0.5. Let l = 1.04 - r. Let m = -0.06 - l. Sort 0.4, 5, m in ascending order.\nAnswer: m, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -172*r**2 + r. Let c(j) = -2*j. What is c(g(b))?\nAnswer: 344*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 15. Let n be v(-4). Suppose -a + 34 = 2*i + 37, -8 = -4*a - n*i. Solve -5*x + 6 = -4*k + 28, 0 = 2*x + 3*k - a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 7:36 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5004298 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -845*h + 12739. What is p(15)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 16930 + 70159 = 0. List the prime factors of j.\nAnswer: 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*x - 22 = 0, -y - 6 = -2*x + 1. Suppose y*k + 5*a = -2789, k - a + 1184 = 249. What is the tens digit of (-1 + k\/(-3))*3\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 + 47 = -h + 2*f, -4*h - 2*f = -1316. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6112 + 2*g + 6126 + 0*g**2 - g**2 - 128*g**4 in the form c*g**3 + y*g**2 + t*g + a + r*g**4 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -123.82 + 123.790895. Let k = 0.0297 + u. What is k rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328046, 656032, 984018, 1312004?\nAnswer: 1639990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 10*j - 3. Let g be h(-3). Let z = g + 62. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 102, 220, 382, 588?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3 + 2\/3*u**2 - 4\/3*u.\nAnswer: 2*(u - 4)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 407539 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39\/4, 4, 0.263.\nAnswer: 0.263, 4, 39\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/4)\/((-18)\/(-110)) and 91\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110098 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -g + 11539, -5*g + 3*x + 28619 + 29141 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from {h: 1, e: 3, y: 1, x: 1, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 39.341\nAnswer: 39.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 5 + 6 + 10*s)*(-3 + 0 + 5).\nAnswer: 16*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 160. Let f be c(0). Let i = f - -96. Find the common denominator of (i\/(-110))\/((-2)\/10) and 29\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/3)*m**(5\/6)*m*m*m**27*m\/m**17 assuming m is positive.\nAnswer: m**(79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 11:15 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 13*i + 99 = -17*i, 5*x - 3*i = -403. What is the second biggest value in -2\/11, -1\/3, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 - 1466*p + 26 + 23 + 642*p - 2253*p to l + h*p and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -46898837.777 + 0.00861\nAnswer: -46898837.76839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*n + 2*a - 8, -2*a = 3*n - 10. Suppose -2*z + n = 4*r, -2*r - 12 = -7*r - z. Suppose 7*i - r*i = 148. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60369, 60367, 60365, 60363, 60361?\nAnswer: 60359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - -5) + (-5)\/(-1). Suppose -4*n - 2*w = -f, n + n - 4*w + 8 = 0. Suppose n = -h + 6*h. Solve -2*i + 7 = -3*o, 15 = -h*o - 4*o - 3*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/37)\/g)\/g*g\/(g**(13\/3)*g*g) assuming g is positive.\nAnswer: g**(-808\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, -2, -7 in ascending order.\nAnswer: -7, -2, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6385635*u**4 - 12136509 wrt u.\nAnswer: -25542540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 3*k**4\/4 - k**3 - 239*k**2\/2 + 531*k. What is the derivative of w(f) wrt f?\nAnswer: 18*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y + 2088894 = 2088816 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5\/19 + 1202*v**4\/19 + 184734*v**3\/19 + 1234926*v**2\/19.\nAnswer: 2*v**2*(v + 7)*(v + 297)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = 2*p - 189. Does 28 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05662 * -0.03.\nAnswer: 0.0016986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1328492 to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 1}. What is prob of picking 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 73, 149, 251, 391, 581, 833, 1159?\n\"Answer: 2*x**3 + x**2 + 59*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 0.121263.\nAnswer: 0.221263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4313, -8985, -13657?\nAnswer: -18329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140 - -143.5. Let o = q + 143.5. Let j = 147.86 - o. What is j rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, 0.03, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -2\/3, -0.3, -11, 1\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2211440 - 2?\nAnswer: -2211442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/630*(-130)\/(-78).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4 - 13*t**3 - 15*t**2 + 13*t + 14 = 0.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -6613 smaller than -6613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185550 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 68059 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k**3 - 7*k**2 + k - 10. Let y(d) = d**3. Let p(c) = t(c) + 4*y(c). Let l = -1073 + 1066. Is p(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmm. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*v - 7, -4*g - g - 15 = -5*v. Sort -9, g, 0 in ascending order.\nAnswer: -9, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 136. Let y(k) = -2*k - 3. Calculate b(t) + y(t).\nAnswer: -3*t + 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*sqrt(1584))**2.\nAnswer: 57023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/144 and 71\/54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 8*j**2 + 2*j + 14. Let d be o(-8). Suppose -9 = y - 4*y. Let z = d + y. Which is the closest to -3? (a) z (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iivv when four letters picked without replacement from {v: 4, i: 14}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 480495625 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**0\/z)*z))**(-15\/4)*(z**0)**(-10\/7))\/((z**0)**(-23)*z\/(z*z**(1\/2)*z)*z**3*z) assuming z is positive.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7139000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.369 - 0.379. Let f = d - -0.01. Let i = -13.5 - -14.5. What is the closest to i in f, -5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-32)\/(-384)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t - 3*t)*(t**2 - 3*t**2 + 6*t**2).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -21. Let p = i - -13. Which is the third biggest value? (a) -2 (b) p (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 8 = 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 4*p - 8*p**2 + p + 0 + p**3 - 12. Let b be a(8). Solve 4*l - 2*g = 3*g + 20, 4*l + 5*g = -b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 145*i**2 - 307*i - 2946. Calculate t(-143).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 25. Let f(i) = 4*i - 50. Let y(x) = -6*f(x) - 11*m(x). Let t be y(11). Let k be (-1278)\/(-81) - (-2)\/9. Solve -7*j + k = -t*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 73*c**4 - 12*c**4 + 10*c**4 + 2*c**2 in the form z*c**4 + w*c**2 + b*c**3 + n + u*c and give z.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2 + 17*r - 7. Let o(v) = 5*v**2 + 16*v - 8. Let f(p) = -3*k(p) + 4*o(p). Let l(t) = -2*t**2 - 6*t + 5. Give -6*f(a) - 13*l(a).\nAnswer: -4*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91115*1270.\nAnswer: -115716050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-8)*(-1)\/(-3))\/((-13624)\/1136 + 12).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 16425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 5, 3\/62507?\nAnswer: 3\/62507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233287402.\nAnswer: 2, 5237, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 69332524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*n - 8. Let f = -625 - -349. Let g = f + 282. What is the least common multiple of n and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 q when four letters picked without replacement from qhqhqhquqqqqh?\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.14 (b) 1 (c) -1\/16 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18747*-154.\nAnswer: -2887038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - 312424001?\nAnswer: -312424031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**1\/(l**(-1\/15)\/l) assuming l is positive.\nAnswer: l**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**3\/6 + l**2 + l. What is n(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-29)*h*h)**(-1\/4))**(1\/29) assuming h is positive.\nAnswer: h**(13\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -38, 4, 5, -1 in ascending order.\nAnswer: -38, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6556\/(-32)*26*(-25)\/1625 + (-2)\/(-40)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 5, -2*i - i + 4*t = -8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1071 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*h**2 + 216*h + 84.\nAnswer: 3*(h + 14)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/7, -5, 22?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 6*j - 5. Let g be h(-7). Let q(x) = 6*x**2 + 3 + 3 - g*x + 0 - x**3 + x. Let p be q(6). Solve p = 4*i + 2 - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 56202 = -9822 - 41991. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 r, and 1 y when three letters picked without replacement from {q: 1, y: 8, e: 4, s: 1, v: 1, r: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzlmwjmjwmzzjwzl. Give prob of picking 1 z, 1 m, and 1 j.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w + 573 + 277 = 8*w. Let b = -13 - -45. Calculate the remainder when b is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -19*q + 6768. Find n such that 676 - 419*n**2 + n - 105*n + q*n**2 = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - f + 443630, -4*f + 458354 - 162584 = -2*y. Let a = -254875 - y. What is a rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4680 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 2\/9, -3, 0, 190?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (16 - -8) - (-2 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 126 + 132 = 0. Suppose -5*m = v - 1173. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 14 + 0 + 24. Let c(y) = y - 9. Let i(s) = -4*c(s) - 3*o(s). Let f be i(0). Solve 3*j - f = 2*g, 0*g - 12 = 4*g + 4*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 29122255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 54*d\/5 + 11.\nAnswer: -(d - 55)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(4\/11)*i*i**(13\/2) assuming i is positive.\nAnswer: i**(195\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-12)*(3 - 1\/(-1)). Calculate the least common multiple of 6 and (-8)\/(-12)*d*27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2720582 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: What is the thousands digit of 23*(-22 - -23) + 35430?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/7 smaller than 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571516?\nAnswer: 2, 11, 31, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -624*w**2 - 153*w**3 + 624*w**2 + 2*w.\nAnswer: -153*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -21. Suppose -j*t - 5*q = -15, -3*t + 0*q = 3*q - 12. Suppose -t*h - 941 = -3*c, 0 = -5*c - 0*h + 3*h + 1547. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -4) + 2 - 3. Calculate the smallest common multiple of h\/2 - (5 - (-259)\/(-14)) and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 12980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhkhhhhhhhhhhhhhhhkh. Give prob of picking 2 k.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 7 - 24*j**2 - 12*j**2 to z*j + x + o*j**2 and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 826 + (-18)\/(-42)*7. Suppose 3*z - 5*a + 521 = 1768, -i = -2*z + a. Calculate the smallest common multiple of z and 2.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*p = 3, 0*m - p = m - 5. Let h be 3 + (-27)\/m + 159\/2. Suppose -2*q + 47 = 5*f, 3*q + 5*f = -0*q + h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.5 - 46. Let o = s + 29. Round o to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3095 is divided by 119.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 424\/133 + -66\/19. Let x = 1\/585 + -7\/45. Which is the closest to n? (a) -4 (b) -1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46677 + 66508. Suppose 46*l - 39*l = v. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -747.8 and 2.\nAnswer: -1495.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:05 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616447*l - 616460*l - 616450*l + 1849361*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 25 = -4*i. Determine s so that -32*s**2 - 12*s**4 - 3 - 1 + 18*s + 2*s**i + 7*s**3 + 21*s**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.4 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 6*i + 10. Let l be c(10). Let s = l - 11. Let g = s + 47. Calculate the least common multiple of g and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*b - 805 = -813, 4 = -2*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33735255 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.24 - 1.76. Let l = 25 + o. What is the third smallest value in -2\/5, 0.3, l, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790458013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**5\/15 + m**4\/24 - m**3\/6 - 143*m**2. Let q(k) = 46*k**2 - 133*k - 39. Let o(u) = 14*n(u) - 2*q(u). Factor o(b).\nAnswer: -4*(b - 8)*(9*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 - 100. Let u = 16 + y. Let o be (-340)\/(-14)*(-28)\/(0 - u). Round o to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24517750 not equal to 24517750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -15 + (7 - (-16 + 17)) + -15.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1462 (base 7) to base 15.\nAnswer: 28d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -419169.56425 + 418987.56424483. Let g = u + 182. What is g rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (325 + 485 - 184)*(5*m + 7*m - 5*m) + (2 + 3 - 6)*(0 + 1 - 3)*(-m + 1 - 1).\nAnswer: 4380*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430*a = -123*a + 64701. Let p be 30*3\/(-9)*2. Let s = -7 - p. What is the greatest common divisor of a and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -11*d**5\/30 + 5*d**2 + 4. Let v(s) = -4*s. Determine m(v(x)).\nAnswer: -352*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -913 + 918. Let i(t) = -6 - 3*t + 3*t**3 + 2*t + 6*t - 9*t**2 + t**2. List the prime factors of i(r).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2882475752 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481964 divided by -34426.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 5294 = -4*k - 4*w, 3*w - 3981 = -3*k. List the prime factors of k.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 4696095.\nAnswer: 4\/4696095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4213 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 1505385.\nAnswer: 1505385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 - 10*f**2 + 8*f + 30. Calculate v(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -11238*c - 93. Let z(l) = 11238*l + 80. What is 6*r(a) + 7*z(a)?\nAnswer: 11238*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, 3, -410594 in descending order.\nAnswer: 3, -3, -9, -410594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/36 - ((-105)\/36)\/(-5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 156? (a) -2 (b) -0.2 (c) 173 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 73644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19\/4 of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from {h: 1, k: 1, r: 1, l: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1091 - 287. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55535361 divided by 12?\nAnswer: 18511787\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**5\/4 - 55*q**4\/4 + 35*q**3\/4 + 715*q**2\/4 + 70*q - 245 = 0.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54153216?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -355, -720, -1083, -1444, -1803?\n\"Answer: s**2 - 368*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 17*h**2 + 21*h - 181. Determine x(16).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*n**2*u**2 + 3196479*n**2*u + 1545767*n - 4*u**2 + 2*u wrt n?\nAnswer: 62*u**2 + 6392958*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-455 - 346 + 492)*(1 - 1 - 2*s) + 1 - s - 1 + (2 - 1 + 1)*(4*s - 3*s - 3*s) in the form z*s + r and give z.\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30972369*c**3*w**3 + 33*c**3*w - 226082*c*w**2 wrt w?\nAnswer: -185834214*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14933, -59729, -134385, -238901, -373277, -537513, -731609?\n\"Answer: -14930*x**2 - 6*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6209127 <= 6209128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -0.123, -0.3, -1623, 6, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13 + 12 - 2623*l**2 - 1295*l**2 + 5809*l**5 wrt l.\nAnswer: 348540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*c + 3*c - 105, -c + 51 = -3*m. Suppose c = 4*s + 11. Suppose 154 = 3*h + 5*g, 3*h + 252 = s*h - 5*g. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008456847 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 20*c**3 - 3*c**2 - 11*c - 50. Let r be m(-27). Round r to the nearest 10000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = -4*v + 3*r, 230 = -3*v - 2*r + 3*r. Let m = 79 + v. Solve -5*q = 3*d - 22, -7*q + 26 = 4*d - m*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 5*p - 74 = -d, 0 = 5*p - 25. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -32*d**2 - 4. Let u(j) = j**2 - 1. Calculate -s(k) + 4*u(k).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*o = 4982 + 1908. Solve -95*d = -69*d - o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1671 is divided by 271?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11693533 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77 by 5320.\nAnswer: -11\/760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y - 133. Let l(g) = 116423*g**2. What is v(l(p))?\nAnswer: 1280653*p**2 - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1178 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -1*sqrt(110))*2 + sqrt(110) + sqrt(110) - sqrt(110))\/(sqrt(1440)*1 + sqrt(1440) - sqrt(1440)) + -5.\nAnswer: -5 + 5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttnnttrtntntttnrnttn. What is prob of picking 2 n, 1 t, and 1 r?\nAnswer: 154\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -58, -24?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 - 2*w**4 + 3*w**3 + (25*w**2 + 388*w - 388*w)*(-1 - 32*w + w**2 + 32*w).\nAnswer: 23*w**4 - 25*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -2 (c) 7 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 0.3. Let s = 5208 - 5092.16. Let n = 116 - s. Which is the third smallest value? (a) h (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*g**3)*(-9*g**2 + 5*g**2 - 8*g**2).\nAnswer: 24*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-18) + ((-4062)\/(-54) - -3). Let o = 81 - x. Solve -s = -3*z - 2 - 4, -o*z - 6 = -2*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -447, -1139, -2243, -3837, -5999, -8807, -12339?\nAnswer: -16673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(136) - sqrt(136)) + sqrt(136) - sqrt(136))*-2)\/(sqrt(8)*4*3).\nAnswer: -5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63450858053 - -1357213854016837\/21390. Let x = o - 7\/2139. What is the common denominator of 48\/13 and x?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4131965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + r + 11. Let k = -17 - -12. Is b(k) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2*(-108)\/16 - -1 and (-2 - -2) + 15\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16064911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61536 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*a - 26 - 15*a - 23*a with respect to a.\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 86290.56 kilometers?\nAnswer: 8629056000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3+1186\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 1\/3*3. Suppose -r - t*r = -8. Suppose r*o + 3*o + 307 = 4*d, -5*d + 435 = 4*o. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -625?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 879 - 493. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuufm. Give prob of sequence fufu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283422.763 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.2 - 2. Let r = z - 20.7. Let v = 3 + -2. What is the closest to v in 0.1, 3\/4, r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4512695221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268 at most as big as 3268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000394 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 3. Suppose -w = w. Let m be l(w). Is 5 a factor of (-5)\/(1*(m + 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 19*q + 37. What are the prime factors of w(16)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/513 and 77\/114?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74767*y**5 + 4*y**4 - 14*y**3 + 5*y**2 + 26524*y + 3?\nAnswer: -4486020*y**2 + 96*y - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 6*o - 48. Let j be (-2)\/8 + (-854)\/(-56). Let i = j + o. Solve i*f + f + 23 = d, -3 = -d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0165 - 0.015632. Round m to five dps.\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.93015 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49.9 - -49.5. Which is the third biggest value? (a) g (b) 2\/15 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5841*w - 1423*w - 10784*w - 2746*w)*(-4 + 2*w + 4) to the form f*w + i + z*w**2 and give z.\nAnswer: -41588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 415399 + -211722. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/21))**17\/(((f**(-20)*f)\/f)\/f*f)**(-6\/31) assuming f is positive.\nAnswer: f**(-1466\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 - -1) + -84)\/((-16)\/88). What is the greatest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648830?\nAnswer: 2, 5, 7, 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 142 = 34. Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2787*x**2 + 2676*x - 111 = 0 for x.\nAnswer: -1, 37\/929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*a - 2*l, 5*l + 9 = 4*a - 10. Suppose 4*t = 9 - 105. Let i be 18\/(3 + 63\/t). Calculate the greatest common factor of i and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -37*m**3 - 3*m**2 + 19. Let t(x) = -147*x**3 - 11*x**2 - x + 80. Give -17*p(c) + 4*t(c).\nAnswer: 41*c**3 + 7*c**2 - 4*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + sqrt(136)*1)\/sqrt(8)*2 + 1)**2 - (2*(1 + sqrt(2448) - sqrt(2448))*4)**2.\nAnswer: 8*sqrt(17) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -73?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79.7 + 85. Let w = -0.3 + z. What is the closest to -1 in 0.1, 1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11868388 + -11868386.7000058. Let a = y + -1.3. Round a to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 265482234?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 858*h*i*w**2 + 18*h*i*w + 10275*h*i + 2*h - i + 4*w**2 with respect to w.\nAnswer: 1716*h*i*w + 18*h*i + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 1 + 1)*(-s - 2 + 2)*(8 - 8 + 11*s + (2 - 3 - 1)*(-4*s + s + 4*s) - 1 + 1 + 3*s).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n - 48. Calculate the remainder when 65 is divided by (-6)\/n - (-90)\/4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(50)*-1).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 12:37 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4625\/1206 - -97\/134. Find the common denominator of g and ((-417)\/(-90))\/(8\/10).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 21*t**2 - 44*t + 19. Let b be u(23). Let z = -62 + b. Suppose z*l + 2 = 4*o, -4*o + 2*o = 4*l - 12. Solve -23 = -5*c + o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) + (-6)\/(-9). Let l(s) = 4*s - w - s**2 + 2*s**2 - 3*s. Suppose -1 = -4*z + 3. Give l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.168, 1067, -1\/10?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 208 = 2*b. What is the greatest common divisor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**2 + 5*u**3 + 8*u**2 + (2*u - 2*u - 3*u)*(2*u**2 + 0*u**2 - 3*u**2) + 29792 - 71*u**3 - 29792 as c*u**3 + q*u + o + v*u**2 and give c.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 + 6. Suppose -4*j + o + 2*o = -60, -3*j + 3*o = -45. Calculate the greatest common divisor of j and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1288\/17 or -1?\nAnswer: 1288\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 8) in base 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, 564, 2\/5, 39, -1\/4, -1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(20\/(-194)*(-1 + 0)) and (-1)\/(-4) + 41\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7310341 litres in millilitres?\nAnswer: 731.0341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 + 10.94. Let s = -6 + 7. What is the closest to s in a, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 y when three letters picked without replacement from {t: 3, z: 9, y: 2, r: 4, j: 1}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/1)\/3 + -2 + 1. Let s(b) = -2*b. Let m(p) = 12*p - 16. Let a(g) = w*m(g) + 5*s(g). Let r(n) = 2*n. Give a(r(o)).\nAnswer: 4*o - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4122340984?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**5\/30 + 3*y**2\/2 + 2. Let r(u) be the second derivative of i(u). Let t(o) = -24*o - 29*o + 50*o. What is t(r(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 t, and 1 v when three letters picked without replacement from {j: 1, x: 1, t: 1, v: 2, f: 1, w: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -438868?\nAnswer: 438869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -361*c**3 - 4788*c**2 - 21168*c - 598. Find n such that z(n) = 0.\nAnswer: -84\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 4*v**2 - 2*v**2)*(-21 + 22 + 33)*(37 + 24 - 21).\nAnswer: -2720*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, h: 5, y: 3}. What is prob of picking 2 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/28)\/(14\/147). Let j be -1 + p\/(-5) + 3196\/470. Solve -3*s + 20 = -j*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 59*i**2 - 292*i - 19. Is u(50) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 9\/2*n**2 - 1\/3*n**3 - 3*n - 66. What is u(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 541450 and 131950?\nAnswer: 15702050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 + 145*a**2 + 3290*a - 4. Let f(l) = -11*l**3 + 290*l**2 + 6581*l - 10. Let k(p) = -2*f(p) + 5*u(p). Find the second derivative of k(r) wrt r.\nAnswer: 12*r + 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3615, -28385, -95593, -226449, -442163?\n\"Answer: -3535*l**3 - 9*l**2 + 2*l - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 67883*m - 136883*m + 68090*m. Let c(f) = -3*f**2. What is c(i(o))?\nAnswer: -2484300*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h + 31. Suppose 2*k + 4*u = -10, 8*u = 3*u + 5. Let g be t(k). What is the derivative of -g*n - 6 + n**2 + 80*n wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0949871 + -0.095. What is j rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105 or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 213 + 2*u**2 - u**3 - 228 + u**2 + 9*u + 2*u**2. Suppose 7*q + 30 = 12*q. Let m be b(q). Solve -m*g = g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101222906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4.6. Let q = t - -0.4. Suppose -x + 2 = 0, -2*x = -4*k + 2*x + 12. What is the closest to -2\/5 in k, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*a = 7*a + 301, -5*a - 191 = -3*d. List the prime factors of d.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2*k - 14*y + 17*y + 28 = 0, -89*k - y = -0*y - 1152 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 1. Let d be c(-3). Suppose -5 + 0 = d*s - y, 0 = 2*s + 5*y - 25. Let b be (7 - 0) + -2 + s. Solve 3*z - 22 = -b*w, -14 = -5*w - z + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j + 5758. Let o be (j\/20)\/1*-2. Let s = o - -571. Find the common denominator of s and -41\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 46*i - 47. Let t(a) = 16*a. Let d(p) = 6*t(p) - 2*x(p). Calculate d(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -254*u - 4588. Determine i(-18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -10.1. Suppose 8*o - 6*o - 10 = 0. Suppose 0 = 3*y - 4*y - 2, 10 = -q - o*y. Which is the nearest to v? (a) 2\/3 (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 40*u + 1639\/4.\nAnswer: (u - 149)*(u - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 107.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(-3 - w + 3 - 2*w + 3*w + 0*w + (5 + 3 - 6)*(w + 1 - 1)*(-9 - 2 - 19)).\nAnswer: 240*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 p when four letters picked without replacement from {x: 2, g: 9, p: 6}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 6:10 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26b407 - 8?\nAnswer: -26b40f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/273641742 and 73\/298518264?\nAnswer: 3283700904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33, -73, -129, -195, -265?\n\"Answer: p**3 - 14*p**2 - 5*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**5\/20 + 17*s**4\/12 - s**3\/3 - 16*s**2 - 1620*s. Calculate x(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/45 in -2, -0.7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 4374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240120*x**2 + 477784*x**2 - 240003*x**2.\nAnswer: -2339*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*39\/(-24)*400\/(-300).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 495705 and 9?\nAnswer: 1487115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*j - 76, -3*j - 4*a = -j + 52. Sort -1, j, 2, -2 in increasing order.\nAnswer: j, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyf when three letters picked without replacement from yyfyfyyfffyywfy.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-4) + 3\/(-12). Let l be (5 - 3) + (-5 - -3). Which is the closest to -0.1? (a) h (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-11 + 17 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3861200 and 159740.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -102648, -820490, -2768920, -6563232, -12818720, -22150678?\n\"Answer: -102549*s**3 + s - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 332, 259, 196, 143?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3 - 1. Let a(d) = -d**3 + 18*d**2 + 17*d + 45. Let g be a(19). Let b be 2\/(-3)*(1 - 16). Solve g*s - b = r*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, f: 2, b: 2, i: 8}. What is prob of picking 1 i and 1 z?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 30 = -0*j. Suppose 3*i = -3*x - i + 35, 4*x - j = i. Suppose -10 = -x*d, -2*c + d + 4*d - 2 = 0. Calculate the least common multiple of 10 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-693300)\/(-36540) - 19) + (-4)\/58?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -5*y + 40, -y + 4 - 11 = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxsxkssokosssxuxks. Give prob of sequence ou.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(33)\/(sqrt(6)\/sqrt(2)).\nAnswer: -4 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269904 is divided by 7102.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.37706km to meters.\nAnswer: 50377.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -23. Suppose y = 2*y. Let q = y - -1. Is i equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1354 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -27. Let j(r) = r**2 - 9*r - 12. Let x be j(11). Let m be (-5)\/(-50) - 0 - (-4)\/x. Which is the nearest to m? (a) n (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -329*i + 6. Let c be f(-3). Let x be (-2 - 0)*c\/(-2). Let g = -542 + x. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64253 + 55132. Let m = d - 119386.00029. Let b = m - -1. Round b to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 74. Let f be (-454)\/4 + (4 + -2)\/m. Let t = f - -280. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 10:43 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, n: 3, j: 1, u: 4}. Give prob of sequence njn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/280 or 1?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 598902312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(66) - -5*(sqrt(66)*2 + sqrt(66)) - (sqrt(66) - (sqrt(66) - (-2*sqrt(66) + sqrt(66) + sqrt(66))*-4)))\/(1*-3*sqrt(384)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1815 + 1815.1. Which is the smallest value? (a) 3\/7 (b) 214 (c) s (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*n + 2. Suppose -2 = -n*x + 10. Suppose -4*u - 12 = -2*o, 4*o - x*u = -o + 24. Solve 4*r = -3*s + 31, 3*s - o*s + r = -1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 8. Suppose -2*f + 4*h = -172, 3*f - 2*h - 255 = 3*h. Suppose 0 = -2*b - 5*o + 32, -3*o + f = 5*b - 4*o. Suppose -b = 4*k + 4. Give m(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0*j + 18*j)*(2*j - 3*j + 2*j + (0 - 2 + 3)*(j - 2*j + 2*j) - 6*j - j + j).\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 104*g + 425. Let l be f(-9). Let z be l\/35 - -15 - (-6)\/(-40). Find q, given that -z*q**2 - 3\/2*q - 2 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468682912?\nAnswer: 2, 1933, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 138 + 114. Let q(t) = -68*t + 228. What is the units digit of q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4284600 and 173\/1554?\nAnswer: 29992200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 32*o - 67. Suppose 8*s + 7 + 225 = 0. Let d be f(s). Is 18 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*(-16)\/(-6). Let k(j) = j**3 + 7*j**2 + 4*j + 122. Calculate the remainder when k(-8) is divided by (-4)\/(0 + 4)*r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 2277.\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-64)\/6)*-4. Let f be (-12 + 0)\/(-4) + -8. Let l be (2 + f\/4)\/(288\/(-64)). Which is the biggest value? (a) q (b) 0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16493 and 197916?\nAnswer: 197916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -10. Let h(r) = 51*r**3 - 2*r**2 + r + 3. Let q(b) = 24*b**3 - b**2 + b + 2. Let o(c) = 2*h(c) - 5*q(c). Is o(w) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122 (base 4) in base 6?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*21\/(-12)*35784\/1176*12\/9\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -57*l**2 - 664*l - 1667. Give c(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 77*j**2 + 3*j + 2. Does 19 divide m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*r - 630, -18*n + r + 124 = -17*n. Let b = n + -122. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*c - 3114 = 0, -6*c + 778 = g - 5*c. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 1 - 1 - 78*z**5 + 107*z**5 + 77*z**5 + (3*z - 2*z + z)*(-6*z**4 + 3*z**4 + z**4) + (-3*z**2 + 3*z**2 - 5*z**3)*(2*z - 2*z + 2*z**2).\nAnswer: 91*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*b = -3 + 29, -9 = -p - 3*b. Let u = -3 - -4. Let g = 3 + u. Sort -2, p, g.\nAnswer: p, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*31\/1550*75.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -81 (b) 5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 224192874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 22263830 to the nearest ten thousand.\nAnswer: 22260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1425)*-3)\/(5*sqrt(12) + (sqrt(72)\/sqrt(3))\/sqrt(8)) + -5.\nAnswer: -5 + 45*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 9 + -5 - (28 + -35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 994284149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 8848\/9*o - 9785888\/9 - 2\/9*o**2 = 0.\nAnswer: 2212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -278\nAnswer: -1\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10373, -20431, -30479, -40511, -50521, -60503, -70451?\nAnswer: -80359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 693*m - 10388. Calculate l(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3\/9 - 8*b**2\/3 - 70*b\/9 - 16\/3 = 0.\nAnswer: -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14458*k**2*w**2*z - 2*k**2*z - 5*k**2 - 10*k*w**2 - 80*k*w - w*z + 3*w - z wrt w.\nAnswer: -28916*k**2*z - 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 13*x**2 + 22 - 99 + 3086*x - 3091*x + 25 + 52.\nAnswer: 10*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*o + 23, -3*o + 8 = 4*h - 0. Let v = 11 + h. Solve 8*r - 4*u = 6*r - 16, 0 = -2*u + v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q + 9*q - 102. What is the remainder when (-1)\/(((-1)\/(-492)*q)\/(-3)) is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 21*y**2 - 20*y + 28. Suppose -2*c + 5*a = -65, -2*a - 92 = -4*c - 2. What are the prime factors of w(c)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*j - 30 = 4*s, -3*s - 18 = 3*j. Let k = 10 + s. Let r(o) = -o**2 - 5*o - 1. Let m be r(-4). Solve k = -m*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*(10 + -8). Let w be (-2)\/((-435)\/(-445) + p). Suppose -5*x + 342 = y, 5*x + 3*y + w = 435. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*s**2 - 5 + 0*s**2 + 4*s**2.\nAnswer: 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/(-18) - (-2)\/(-9). Let u be ((-2)\/(-8))\/(2\/152). Let k = u - 19. Is d > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m\/m**(-21))\/m*m))\/m)\/m**(-1)*(m**3)**(-1\/20) assuming m is positive.\nAnswer: m**(-403\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-21)*14\/(-4). Let y(l) = 4 - 8 - 2*l**2 + t - 6*l + 3*l**2. Let u be y(7). Solve -1 + u = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 11*g + 7. Let c(x) = 32*x**2 - 40*x - 82. Let l(h) = -10*h**2 - h. Let j(m) = -c(m) - 3*l(m). What is the remainder when i(6) is divided by j(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 108 = 16*r + 307 - 71, 5*r + 84 = 4*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*n**4 - 7817*n + 0 + 7820*n - 21*n**2 to p + t*n**3 + w*n**2 + z*n**4 + f*n and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-1)*((-864)\/(-60))\/(-12). Let m(c) = c**2 - 14*c + 39. Let s be m(o). Solve 5*d + s = -5*h, -14 = 2*h - 4*d + 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -68\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/(2\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 g, and 2 r when four letters picked without replacement from {w: 1, r: 4, g: 1, q: 1, l: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - s**2 + 5*s + 11. Suppose 294*v - 37 - 351 - 494 = 0. Calculate h(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8 + 32 = 0. Suppose 0 = -10*n + f*n + 116. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 704, 0.1, -1\/11, -2, 0.3, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i + 52 - 227 = 0. Solve 8*g + 52 = -i*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(44\/77 + (-11)\/7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 + 2 + f - 7*f**2 - 3*f + 6*f**2 - 4*f**3. Let w = 6 - 4. Let c(o) = -o**w - o**2 + 3*o - 3 - o**2 + 5*o**3. Give -2*c(v) - 3*j(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - -0.7. Let u = 1.3 - z. Let w(b) = -3281*b - 479025. Let g be w(-146). What is the second smallest value in -0.5, u, g, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 + v**3 - 2*v**3 + (-9*v**2 + v**2 + 31*v**2)*(4*v - 4*v - v - 2).\nAnswer: -22*v**3 - 46*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190218129.\nAnswer: 677, 1061, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12 and 0.108670368.\nAnswer: 12.108670368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*n**2 - 2781*n + 2781*n - 51*n**2 + 154*n**2 - 51*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 6. What is b(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-327)\/6)\/(8\/(-16)). Let w = u + 183. Calculate the highest common factor of w and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 16) + -866 + 949\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -407\/9205 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 277658329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 - 155. Suppose 5*l = -5*i + 85, -5*l - s*i + 8 = -75. Solve -6*q = -2*q + l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(3) + 1 + sqrt(147))**2 + 0.\nAnswer: -48*sqrt(3) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ollo when four letters picked without replacement from loll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 2*g + 4*t - 52, t - 4 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41.86 - 0.86. Let y = u + -40.9. Which is smaller: 20 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -144842*f**4 - 7982?\nAnswer: -579368*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooowdpooopowowwpwopp. What is prob of picking 3 p and 1 d?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134065204 - -1?\nAnswer: -134065203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 25 = -47. Let f = v - -43. Solve -4*i + 0*k = 5*k + f, -i + 14 = -5*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 83, 164, 243, 320, 395?\n\"Answer: -y**2 + 84*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3 - 5. Suppose -4*o + 13 = j - d*j, 5 = -5*j + 5*o. Calculate the remainder when 34 is divided by (j\/2)\/(3\/36).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 * -0.14\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -4 (b) 1\/12 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a factor of 18832521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 + 22.93. Let f = b + -22.9999948. Round f to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-6 + sqrt(1575) + -2*sqrt(1575) + sqrt(1575))\/((sqrt(18) + sqrt(2592)*4)\/sqrt(2)) + 2.\nAnswer: -24*sqrt(7)\/49 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from dntztjk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868915 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8744306 > 8744303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - 312\/5. Let i = -38.92 - -34.92. Let o = -3 - -1. Which is the nearest to y? (a) 2\/11 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12996, 13073, 13154, 13239, 13328, 13421, 13518?\nAnswer: 13619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpmpppypymmfppp. What is prob of picking 1 m and 2 y?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 3*h + 15. Suppose -4*j - 5*o + 44 = -249, -h*j + 325 = -2*o. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620))**2 - (1 + sqrt(80)) - (3 + sqrt(20) - (0 + sqrt(20) - sqrt(20))).\nAnswer: -6*sqrt(5) + 1616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5)\/((j*(j**(-2\/9)*j)\/j)\/j)*j**(4\/11)\/j*j*j\/j**(-1)*j*j*(j\/(j\/j**(2\/3)))**0*(j\/j**(-1\/3))\/j**9 assuming j is positive.\nAnswer: j**(-800\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126596, -253195, -379794, -506393, -632992?\nAnswer: -759591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*c - 4*m - 0*m, -c - 5*m + 23 = 0. Let v = 0.9 - 1. Let u = -1.9 + v. What is the biggest value in u, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3231748 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 + 435*i - 4426. What is t(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/3 - 20*x**4\/3 + 24*x**3 - 76*x**2\/3 + 26*x\/3 = 0. Calculate x.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131 + -117. What is the common denominator of -99\/8 and 4\/a + 26\/(-336)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.15 - 4.1. Let l = d - 0.05. Which is smaller: l or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 20 (b) -4 (c) 85 (d) 3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18519 divided by 8.\nAnswer: -18519\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 4:07 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*p - 3 = 0, 5*t + 30 = 10*t + 5*p. Solve 4*y = 2*w + 6, 0*y - t = -5*y + 2*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 77, 167, 301, 485, 725?\nAnswer: 1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -8*a - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 6 (b) -4\/5 (c) 5\/13 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*p**4 - 4*p**2 + p + 5.\nAnswer: -120*p**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/5 in -5, -144052, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1351117, -1351279, -1351439, -1351597?\n\"Answer: p**2 - 165*p - 1350953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9364*s + 381 + 376 - 1507 + 379 + 372)*(4*s + 0*s - s).\nAnswer: 28092*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4)*-9 - -2. Which is the closest to t? (a) -0.1 (b) -0.03 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((360\/330)\/6*6\/(-33))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 528*t - 357*t - 5814 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74592.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + -15. Let k = w - -29. Which is the closest to -6\/7? (a) k (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(((-75)\/(-20))\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13\/32 - 157\/96. Calculate the common denominator of h and -133\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*k + 30, 22*f - 4*k - 12 = 20*f. Suppose 3*b - 4*s - 12 = 0, 2*b - f = -4*s + 2. Solve 3*i = -3*y, b*i - 5*y - 8 + 26 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 2286820012?\nAnswer: -2286820012.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 842 a factor of 19092666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2186754 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*h + 2*a, -4*h - 5*a = -12 - 3. Let r be (h - -2)\/((-11)\/22). Sort 38, r, 5 in increasing order.\nAnswer: r, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.521 + 4.231. Round r to 1 dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 + (-264)\/(-18). Suppose 3*u + v = 6*u. Let j(i) = 3*i + 10. Let t be j(u). Solve -6*p = -p + t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.08 and 1247.\nAnswer: 1246.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*h**2 + 62*h**2 + 39*h**2)*(5*h**2 + h**2 - 4*h**2).\nAnswer: 274*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -53*n - 5. Let f(a) = -a**2 + 2*a + 4. Let p be f(3). Let x(c) = c - 1. Let u(m) = p*z(m) - 6*x(m). Is u(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.388586 rounded to 1 decimal place?\nAnswer: -36.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*3\/(-12)*6. Suppose 0 = -0*z - z + o. What is the third derivative of 0*v**2 + 0*v**2 + 0*v**2 + z*v**2 + 4*v**4 wrt v?\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1928372139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 2543513.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 11:50 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 50.2. Let f = b + 51. Let c = 1.913 + 0.087. What is the closest to c in -3\/2, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14435909 rounded to the nearest 10000?\nAnswer: -14440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -254, -375, -496?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8149 + 8169. Let v(r) be the first derivative of 35\/4*r**4 - x + 0*r**2 + 0*r - 38\/3*r**3. What is the third derivative of v(f) wrt f?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzfswwwssws. Give prob of picking 3 s.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f + 5*u - 10 = 0, 4 = -4*f + 2*u. Let a be 5*(-2 + 2\/(-5)). Calculate the least common multiple of 18 and f - 6\/9*a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 v when four letters picked without replacement from vuvvuvvvvuuvvuvv?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**5\/2 - 142*l**4 + 464*l**3 + 2131*l**2 - 3957*l\/2 - 477 = 0.\nAnswer: -3, -1\/5, 1, 6, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 2*r + 8, 2*m + 4*r = -34. Let u = -134 + 78. Let x = m - u. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174 divided by 87\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 827 + -815. Let d be 6\/(64\/w + -5). Calculate the highest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 3118256?\nAnswer: -3118251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/2)\/(12\/(-32)). Let u(w) = -15*w + 2. Let x be u(-1). Suppose -a*o - x = -3*l + 8, 3*o = -l + 17. Is 13 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -646 - -663. Suppose y = -4*a + 8, -2*y + 3*a - 1 = -g. What is the greatest common factor of y and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 3*y + 15. Calculate the remainder when c(0) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**4 - 2538*f**3 - 130882*f**2 + 410442*f - 277020 = 0?\nAnswer: -1215, -57, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s = 69*s - 4452. Let v = -213 + s. Let o = 0.34 - 0.3. Is v greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2550 + -2518. Which is smaller: 37 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(15)*3)\/sqrt(3).\nAnswer: 5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5513402134.\nAnswer: 2, 2756701067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-1\/4)))\/z)\/z*z\/z**(-5) assuming z is positive.\nAnswer: z**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13*x + 3 - 13*x**2 + 1 + 1. Let l(z) = 25*z**2 - 25*z - 10. Let c(d) = 6*l(d) + 11*n(d). Is c(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {f: 6, h: 3, v: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 128, 192, 256, 320, 384?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/18*9*(-4)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -1, -41, -4134, -8 in decreasing order.\nAnswer: 5, -1, -4, -8, -41, -4134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*x + 0*x**3 - x**3 - 107*x to y*x**3 + v*x + l*x**2 + f and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a89 + 8?\nAnswer: 1a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 j when three letters picked without replacement from {n: 18, j: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g + 5. Let a be v(0). Sort 6, 2, a, 1 in decreasing order.\nAnswer: 6, a, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75660 and 2809120.\nAnswer: 109555680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739288808.\nAnswer: 2, 947, 97583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**2 + 0*q**2 + 3*q**2 + (-4*q + 7*q + 6*q)*(1488*q - 356*q - 746*q).\nAnswer: 3472*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29244957901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 5:15 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*d - 27. Let w = 1 + 1. Suppose 4*i - 27 = 5*h, -2*i - w*h + 7*h = -21. Which is greater: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7777*84.6.\nAnswer: 65.79342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:05 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4368 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680461583 > 1680461582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + g**2. Let y(d) = -d**3 - d**2. Let x be y(0). Let o be a(x). Is o at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i**3 + 4*i**2 - 3*i + 5. Let t be g(2). Suppose -2*j + 0*j = -2*k - 42, 4*k = -j - t. Is k greater than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v = -37*v - 4*w, -3*w = v + 20. Let s(g) = -g**2 + g + 1. Let y(l) = 7*l**2 - 20*l**2 + 6*l**2 + 9*l + 10 - 4*l. What is v*s(t) + y(t)?\nAnswer: -2*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1816955859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1531 - -6172. Suppose -29*y = -22*y - v. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131603 (base 8) to base 15.\nAnswer: -d93a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(29\/(-406)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 9 - 21, -1405 = -x - 4*d. Calculate the greatest common factor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 15 = 4*y, -4*c - y + 2*y = -111. Calculate the highest common factor of c and 2133.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9592270 is divided by 499.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/30 - 2*y**2. Let b = -1041 - -1043. Let h(w) = 1177*w - 2 - 1177*w + 14*w**b. Give h(i(c)).\nAnswer: 56*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 261*h + 1286. What is k(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*t**2 + 1254*t**2 - 175*t**2 - 551*t**2 - 167*t**2 - 166*t**2.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -46. Let n = -20 + 160. What is the greatest common factor of n and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {z: 3, e: 3, c: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-2))\/(92\/(-644)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -4, 0.07, -1\/3, 7.\nAnswer: -4, -4\/3, -1\/3, 0.07, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-26)*-16 - (-9 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 52*w**2 - 1 - 2*w + 0 + 2. Let d = -22 + 23. Is m(d) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3743*t - 3623. What is y(1)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 175708, 175627, 175570, 175549, 175576, 175663?\n\"Answer: 2*l**3 - 95*l + 175801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -47. Suppose 4*p = -3*c + i, 2*p - 20 = -5*c - 0. Suppose -2*r + 586 = 5*z - 289, c*r - 525 = -3*z. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 3*l**8\/280 - 4*l**5\/15 + 7*l**3 - 15. Let r(i) be the third derivative of h(i). Find the second derivative of r(k) wrt k.\nAnswer: 216*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10121 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5071*h**2 + 26*h. Let v(j) = -1268*j**2 + 6*j. Give -2*a(t) + 9*v(t).\nAnswer: -1270*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*l - 184 = 0, 4*b + 0*l - 4*l + 164 = 0. Let n = -9 - b. Suppose j - n = -7. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114374134?\nAnswer: 2, 7, 1167083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20 and -59\/525.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13945649 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**6\/6 + 27*u**5\/4 + 5*u**4\/12 - 45*u**3\/2 - 7610*u. Suppose x(h) = 0. Calculate h.\nAnswer: -1, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -25368 (b) 1 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -905*k. Let n(b) = 4*b. What is n(o(p))?\nAnswer: -3620*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 8*p - 9, 0 = -9*f + 7*f + p + 12. Solve 0 = -4*n - 21 + f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156209 is divided by 1212.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b**2 + 9*b**2 - 14*b**2 - b**2. Let y(u) = 3*u**2. Calculate y(x(t)).\nAnswer: 432*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(68)*2*4)\/(sqrt(32)\/sqrt(2) - (sqrt(4) + sqrt(196)*-1)) + 1)*-6.\nAnswer: -24*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*a - 189*a + 8 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 16 + 6)*(15*z**2 - 23*z**2 + 20*z**4 + 12*z**2).\nAnswer: 140*z**4 + 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -91c747 + 19?\nAnswer: -91c72c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.79376 and 0.05.\nAnswer: 6.84376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1176 - 7.\nAnswer: -1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 2:34 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-4*l**3 + 2*l**3 + l**3) - 436*l**3 + 870*l**3 - 370*l**3 - l**2.\nAnswer: 63*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*v**2 - 62*v**2 + 79*v**2 - 171 - 10*v wrt v?\nAnswer: -4*v - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 11*t + 243. Let a be k(-10). Solve -a - 27 = -12*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 + 9.97. Let c = 10 + -5. Let w = r - c. What is the biggest value in 4, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37212\/13290*135\/(-6).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 814 - 778. Calculate the lowest common multiple of d and 104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 - 336\/35 - 8\/(-30). Put o, 4, -0.5, -0.2 in decreasing order.\nAnswer: 4, -0.2, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 2*o)*((-2 + 6 - 1)*(-2*o + 4*o - 3*o) + 7*o - 4*o - 2*o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -11715.\nAnswer: 117150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211422 (base 7) to base 10.\nAnswer: -36570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.02 times -0.1\nAnswer: 0.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from {r: 10, p: 1, n: 9}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-39*(-20)\/15)\/((-12592)\/(-22036))\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - ((-4 - 1) + 6)) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 58.4251.\nAnswer: 233.7004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hggg. What is prob of picking 3 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 52.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x + 2*a - 261 = 4*a, 2*a = -5*x + 113. Calculate the remainder when 1 + (0 - 0) - -199 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -5, 3, 1 in descending order.\nAnswer: 5, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 73242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, c: 1, v: 1, z: 2, x: 3, i: 5}. What is prob of picking 1 z, 1 a, and 1 v?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:59 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 83*y**2 - 50*y + 129. Calculate the remainder when a(-83) is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 76311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 2*c**2 - 2*c + 3. Let k(v) = 49*v**3 - 4*v**2 - 4*v + 8. Determine k(h) - 2*y(h).\nAnswer: 47*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 32.9. What is the third biggest value in -1, v, 0.4, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 55*b - 2. Let g(c) = -c**2. Give r(g(o)).\nAnswer: -55*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2316 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o + 170 - 656. Is o a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (883 - 884) + (2 - (0 + -18))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 + 25424\/168. Suppose -8*r - 79 + p = 0. Solve x = -2*x - 2*l + r, -5*l + 19 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*a**3 - 39*a**2 - 117*a**3 - 110*a**2 + 62*a**3.\nAnswer: a**3 - 149*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2122)\/(-6) - ((-78)\/(-2))\/(-117) is divided by 65.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17 - -1)*(-6)\/8. Suppose -2*m = -0*m - r. Let u(b) = -b**3 + 6*b**2 - b + 7. What is the units digit of u(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998339209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 22 = 3*j + 5*h, 0 = -2*j + 2*h + 36. Which is smaller: j or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m - 156 = 5*l, -4*l + 65 = m. Suppose -20 - m = -3*g. What is the highest common divisor of 93 and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5625, 45084, 152189, 360762, 704625, 1217600, 1933509, 2886174?\n\"Answer: 5637*b**3 + b**2 - 3*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 - 2*c - 1. Give o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150939 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 9, -2, 0.3299, -2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 4*m - 1. Suppose 0 = -5*x + 6 + 24. Is d(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttb when three letters picked without replacement from {u: 1, a: 2, p: 1, b: 4, t: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3679789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -3)\/(1\/(-395)). Suppose m = 5*x - d, x + 2*m = 4*x - 237. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*sqrt(170)*5)\/((-2*sqrt(90))\/sqrt(9)))**2.\nAnswer: 413\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1085 - 356 = 3*p. Suppose 7*a = -2*a + p. What is the remainder when a is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -0.047 (c) -0.3 (d) 0.04 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4357\/(-2))\/((3306\/836)\/(-87)). What is l rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3978295*i**4 + 2*i**2 + 2*i - 2567788 wrt i?\nAnswer: -47739540*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m - 82 = 5*m + 62 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**3*w**2 - 43188*v**3*w + 2*v**3 + v**2*w - 3*v**2 - 1241*v*w**2 + 2*v*w + w**2 wrt v?\nAnswer: 6*w**2 - 259128*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 16 - 3*y - 4 + 4*y + 6*y**2 + y**3 - 5. Let v be s(-5). Calculate the greatest common divisor of v and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-18)\/(d\/(d*d**(4\/5))))\/(d**(-2\/49)*d\/(d\/(d**18\/d)*d)) assuming d is positive.\nAnswer: d**(-8124\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) 6\/5 (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 20617.\nAnswer: 206170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -6 + (12 - 21) + -5?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 + 66*x**2 + 3*x - 63. Let s be o(22). Solve 8*f - 5*f - 2*q = 4, -s*f + 14 = -4*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*t - 2926 = -96*t + 13*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 5:50 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-192)\/(-476) + (-16)\/136. Factor 0 - 2\/7*m**3 - n*m**2 + 4\/7*m.\nAnswer: -2*m*(m - 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385811 (base 12) to base 8.\nAnswer: 3411115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*s + 33*s**2 - 31*s + 59*s in the form y*s + b + k*s**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 4*d + 3*l, -2*d + 5*l = -26. Suppose 3*p - 3*n - 69 = 0, d*p + 8 = n + 87. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 5*j**2 + 7*j. Let f = 20 - 14. Let p be t(f). Solve 3*v - 4*d = 26, 3*v + p*d + 14 = 2*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a century?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*h + 2. Let v = -2 + h. Solve -v*l - 10 = r + 2*r, -5*l = 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -50*k - 75. Let j(h) = -103*h - 170. Determine -4*j(a) + 9*x(a).\nAnswer: -38*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5\/11 + 210*k**4\/11 - 1560*k**3\/11 + 920*k**2\/11 + 2688*k\/11 = 0 for k.\nAnswer: -112, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 - 26*o - 40. Let v be t(-4). Solve -j - 3*w - 7 = v, 91*j - 86*j - 2*w + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a**3 - 3*a**2 + 3*a - 4. Let r be v(2). Suppose -r = -5*t + 10*t. Let l = t - -31. What is the remainder when 67 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 3*x + 4. Let r be y(4). Put 1, 2, r in descending order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by 46\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -314 + 580. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129 - 126. Is ((-2)\/(2\/7621))\/(w + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28666217548 and 4?\nAnswer: 28666217552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -0.975858, -12, 1\/3?\nAnswer: -0.975858","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4319252, 4319388, 4319524, 4319660?\nAnswer: 4319796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 5953 - 1667 = 0. What are the prime factors of f?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4631590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270489, -270492, -270495, -270498, -270501?\nAnswer: -270504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + 0*r**5 - 2*r**5 + (1556*r**2 + 1500*r**2 - 3132*r**2)*(r**3 - 4*r**3 + r**3).\nAnswer: 149*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943 is divided by 160.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-245)\/(-98)*28\/(-40)*4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 122, 137, 176, 251, 374, 557, 812, 1151?\n\"Answer: 2*t**3 + t + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1329, 2619, 3909, 5199?\n\"Answer: 1290*d + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -569 + 414. Which is bigger: -154 or i?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**4 + 5*n**4 + 12*n**4 + (0*n**4 - 2*n**4 + 3*n**4)*(3 - 3 - 1).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Let d = -821 - -825.43. Let q = d - 1.43. What is the smallest value in -1, h, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.180684 to 3 decimal places.\nAnswer: -1.181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57949695?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u + 8 = 5*z, z - 2*u - 4 = 0. Suppose z = -2*y - 0*y + 40. Suppose -6*i = -i - 200. What is the greatest common factor of i and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -1 (c) 0.4 (d) -4 (e) 19\/1205 (f) -2\/9 (g) 2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-3))\/((-165)\/18)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12768 is divided by 2528?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 7*b = 0. Let g = -0.4 + -2.5. Let d = -0.1 + g. Put -0.5, b, d in descending order.\nAnswer: b, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + v - 122 = -3*n, -5*v = -4*n + 115. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*x + 242 = -220 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1108615779.08 - -928\nAnswer: 1108616707.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 7:16 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 161 and 2438?\nAnswer: 17066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -11 (b) 50 (c) -1201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10173829.4 and 3.\nAnswer: 30521488.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21029 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751 (base 12) in base 14?\nAnswer: 103b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*x + 5*z - 79, 0 = 5*x + 5*z + 180. Let w = x + 56. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7413 or -38228?\nAnswer: -38228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 112\/(-55))*(3 - -12). What is the second smallest value in -3, -9, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 14*b**2 + 50*b - 27. Let k(l) = 3*l**2 + 13*l - 8. Let p(j) = -9*k(j) + 2*q(j). Let c(o) = -o**2. Calculate p(c(t)).\nAnswer: t**4 + 17*t**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362, 673, 984, 1295?\nAnswer: 1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 26 - ((-90)\/10 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 8*y = 2. Let c be (1 - 15)\/(y + 1). Let g(d) = -87*d + 1. Let t be g(c). What is t rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131 a factor of 1597880802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 1. Suppose -4*m - 12 = 8. Let q = -7 - m. Calculate v(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = 2*m + 45. Suppose 62*u - 220 = 58*u. Let b = m - u. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = 5*c + 75*k + 1000, -k = -18769 + 18782 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.15935*17.8\nAnswer: 2.83643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.08 - -3.2. Let g = 0.32 - i. Put g, 1, -2 in decreasing order.\nAnswer: 1, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/(-24)*(-17)\/(-6664)*14\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14128, 14124, 14120, 14116?\n\"Answer: -4*g + 14132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -30*d + 142. Calculate b(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/3 + 26*a**2\/3 - 104*a\/3 + 40 = 0. Calculate a.\nAnswer: 2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1485)\/(-4180) + -4*(1325\/(-190) + 7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2 + 8124*j - 48816 = 0. What is j?\nAnswer: -4068, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1205*i - 7537 - 17225 = 39103 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + (-2 - -2) + 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41.07 + 41. What is the closest to 0 in 2\/17, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (11 + -15 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 8*w - 15*w. Let y be ((-1)\/5)\/(w + 1 - 1). What is the third smallest value in y, -12, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -459 - 78*n + 459 in the form q + c*n and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 474956 to the power of 1\/2, to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5336000 to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 124031040 (base 5) in base 13?\nAnswer: 185395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9*22*7\/14. Let z be n\/27 - -2*2. Which is bigger: z or -0.06?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4*a + 186 - 283 = -141, 23*k + a - 30 = 70 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4437 and 79220.\nAnswer: 20676420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 2*q + 3. Let k be a(2). Suppose m - 16 = -2*i - k*i, 5*m = -3*i + 58. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 250912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -80199.91\nAnswer: -160399.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 375983000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127782, 4, -24 in increasing order.\nAnswer: -24, 4, 127782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*3*sqrt(28)\/sqrt(2))\/(sqrt(22)\/(sqrt(77)\/sqrt(175) + sqrt(11))) + -3)**2.\nAnswer: 432*sqrt(7)\/5 + 36513\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4*l**3 - 2*l**2 - 73*l**3 - 20*l + 34*l**3 + 33*l**3 to h + u*l**2 + x*l + c*l**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 + 78. List the prime factors of o.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from {l: 2, q: 1, f: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3241, 2\/138393, 1\/4, 0 in descending order.\nAnswer: 1\/4, 2\/138393, 0, -3241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 2*j - 1. Let d be f(-1). Let o be 9*((d - 1) + -1). Let y = 1 + o. What is the greatest common factor of y and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 737 and 11?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7404.6419 + 7405. Let s = 0.37 - a. What is s rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*m + 15*m - 44*m + 7*m + 792 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.29 - 7.49. Let m = p - -7. Let k = -3.8 - -3.8. Which is the closest to 1? (a) k (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 + 90. Let n be (8\/18*v)\/((-2)\/3). Solve -n*q = q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/5640 and 123\/470.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4*2*-2. Suppose -6 = 16*g - 1 + 43. Sort u, 3, g in descending order.\nAnswer: 3, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 207*k**3 + 3*k - 2. Let o be q(1). Let s(y) = y**2 + 3*y + 3. Let u be s(-3). Suppose 64 = -u*x + o. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.1 (c) 0.02 (d) 672 (e) -5\/72 (f) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26246.\nAnswer: 2, 11, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**3\/2 + 4680*d**2 + 83841*d\/2 - 242658 = 0.\nAnswer: -3111, -13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 31*i**2 - i + 35. Let v be z(31). Let c(t) be the first derivative of 1 + 1\/10*t**v + 0*t**2 + 0*t - 2\/15*t**3. Factor c(b).\nAnswer: 2*b**2*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 332, 2285, 5546, 10121, 16016?\n\"Answer: c**3 + 648*c**2 + 2*c - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28216543661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccnccccccccnn. What is prob of sequence cccn?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -29. Let d = 35 - w. Let l(i) = -10*i. Let a be l(-4). Calculate the highest common factor of a and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3 + 0 - 1\/3*h**4 + 0*h - 2\/3*h**2 = 0. What is h?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 + 76. Is 2*1\/h + (3 - -263) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -449263\/88 - -5105. Calculate the common denominator of t and 89\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 19*d**4\/2 + d**3\/3 + d**2\/2 + 25. What is the remainder when j(1) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 12:23 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 344 = 4*l. Let y = l + 601\/7. Let t = 1.6 - 2. What is the biggest value in y, t, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -100.9, 3, 0.61, 0.2, -5, 3\/8 in decreasing order.\nAnswer: 3, 0.61, 3\/8, 0.2, -5, -100.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (176\/(-89))\/1. Let a = 55 - 59. Let f be a*(1 + 21\/(-12)) - 4. Which is greater: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*x**6 - 140*x**4 + 353*x**2 + 5*x.\nAnswer: -840*x**3 - 3360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/15))**37\/(y**(17\/5)\/(y*y**24\/y)))**(-38) assuming y is positive.\nAnswer: y**(-17366\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10.2 or -40515?\nAnswer: -40515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2821 is divided by 480.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34\/2 + -3 + 1 + 0. Let o = -8 + t. Let p(a) = a**2 - 9*a + 10. Give p(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + d**2 - 2*d + 1. Let i be (6\/(-9))\/((-4)\/42). Suppose -q = -4*m - 24, -3*m - i = 8. Suppose 1 = -q*j - 15, 0 = 2*v + j + 8. Give b(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87976624 is divided by 1937?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/4)*p)\/p*p*p\/(p\/(p\/(p**(7\/9)\/p))*p) assuming p is positive.\nAnswer: p**(89\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.2 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 1 + 2)**2*1 + (1*sqrt(95)*1)\/(sqrt(720) + (2*sqrt(720) - sqrt(720))).\nAnswer: 721*sqrt(19)\/24 + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 907644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 148*g**5 - 5*g**4 + 6*g**3 + 435*g**2 + g. Let w(a) = -a**4 + 3*a**3 + a**2. Let o(m) = -i(m) + 2*w(m). Find the third derivative of o(n) wrt n.\nAnswer: -8880*n**2 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2756, 5468, 8180, 10892, 13604, 16316?\n\"Answer: 2712*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6170*d - 49364. Calculate j(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*h - 391*h**2 - 38*h - 17*h to q + n*h + s*h**2 and give s.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 68, 186, 410, 776, 1320?\nAnswer: 2078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86170 by -21.\nAnswer: -12310\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z - 161. Let l(h) = -49*h. Calculate s(l(y)).\nAnswer: -343*y - 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 m, and 1 v when four letters picked without replacement from {w: 1, j: 1, v: 1, d: 4, m: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvjvjjvvjvvvvjvj. What is prob of sequence jvv?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n**2 + 2*n + 1. Let a(h) = 6*h**2 - 49*h + 3. Calculate -a(i) + f(i).\nAnswer: 2*i**2 + 51*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2065 = 2*h + 130*c - 125*c, -4*h - c = -4139. What are the prime factors of h?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10 - 10 + 2*p**2 - p**2. Let s(x) = -9*x**2. What is k(s(l))?\nAnswer: 81*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-3))\/((-4)\/(-6)). Let q be (-1)\/((-1)\/(-2 + p)). Let t = 4 + q. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 254*t**2 + 11*t + 76. Let g(r) = -127*r**2 - 5*r - 37. Let n(u) = -5*g(u) - 2*y(u). What is the second derivative of n(p) wrt p?\nAnswer: 254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (3 - (32 - 3)). Calculate the common denominator of -77\/16 and (-99)\/p*2 - -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**5\/20 + 5*x**4\/12 + 2*x**3\/3 + 15*x**2\/2 + 32*x + 3. Let k be q(-4). Solve -k = 4*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/343 greater than -0.0696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 9) to base 16.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 1)\/3 + (-12)\/9. What is the second smallest value in b, 0.2, -5, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56775645401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -354711 + 607711. Round r to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 4*g = 150. List the prime factors of -3 - 2\/((-4)\/g*1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1814868 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -713\/426 + 1\/142. Let m be (-1)\/54*6 + 1\/9. Which is the smallest value? (a) 2 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 325, -6, -5, 1, -2 in decreasing order.\nAnswer: 325, 3, 1, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/h**3))\/(h*h*(h**7*h)\/h*h)*h**(-6)*h**9)\/(((h\/(h*h**2*h))\/h)**(2\/33))**49 assuming h is positive.\nAnswer: h**(227\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by (-594)\/(-14) + (-75)\/175?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -38. Suppose -5*x = -5 - g. Let l be -8*((-7)\/4 + 1). What is the highest common divisor of l and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54378745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 + 30944*a + 119691392 = 0 for a.\nAnswer: -7736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6*h - u - 3, -6 = 5*h + 2*u. Suppose 9*n - 5*n + 3*c - 9 = 0, -n + 3*c - 9 = h. Is n less than -1\/295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2569923?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0047 + -455.0047. Let t = -259248.239 - -259703. Let z = t + u. Round z to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5501 to two decimal places.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + 91 - (-16 - (-31 + -18 - -25)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 0, 3*s = 5*f - 0*f - 154. Let l be s\/(-36) + 1\/(-3). Suppose -l - 11 = -2*y. Sort 1, 1\/7, y.\nAnswer: 1\/7, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-18 + 11 + -25 + 1 - 7)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (46\/(-4))\/((-836)\/(-152) + 6*-1). Solve 3*y + 8 = d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -909 divided by 9.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2. Let z(g) = 186*g**2 + 18*g**2 + 44*g**2. Calculate z(w(u)).\nAnswer: 992*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:39 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19404 + 19407. Let o(z) = z**2 - 8*z + 11. Let m be o(7). Solve m*a - 11 + f = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p - 3. Let i(a) = -a**2 + 16*a - 12. Let r be i(22). Let j be 1\/8 + r\/128. Let s(x) = x. What is j*y(q) + 3*s(q)?\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*x - x, -g + x + 9 = 0. What is the highest common divisor of 90 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 7 - -4)*(-4)\/(-10). Suppose -g + 3 = 2*w, -5*w + 2*g + 10 = f*g. Suppose -w*l + 0 = -c + 43, 0 = -2*c + l + 51. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 1468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/35)\/(-3)*2\/4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-72 - (20 + -3) - 14) + 41\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -806*c - 95096. Determine n(-118).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 24 + (-1769 - -1788)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3 + 368*g**2 - 732*g = 0?\nAnswer: 0, 2, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -332, 15, 0.06 in decreasing order.\nAnswer: 15, 0.06, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -j - 11, j + 16 - 13 = -d. Is j smaller than -1\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*y + 57*y + 464 = 77*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 643*a - 642*a - 4 + 4 - 156*a + 1447*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.0633 (b) 0.3 (c) 4 (d) -15 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.83999899 - 1.84. Round x to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4364 + -2541. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 8*y**2 - 9*y - 24. What is z(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1191 - 1182. Calculate the lowest common multiple of 2 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j - 163. Let q be m(-21). Is q at most 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 3. Let c be v(2). Let p = c - -2. Suppose 5*h = -0*h + 10. Put 0, p, h in increasing order.\nAnswer: 0, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29575421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20425610.\nAnswer: 2, 5, 23, 88807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -430 + 401?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 6. Let b = o - 4. Let u = b - 3. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176384 is divided by 44095.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 874934347 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -2*w - 620 + 613, 3*x + w = -14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b + 1. Let p be d(-1). Suppose 0 = -2*o + p*o + 4*w + 12, -25 = -5*o + w. Let k(s) = 3*s + 3*s - o*s. Let a(c) = 3*c**2. Determine a(k(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17337*c**2*f + 19*c*f - 1235*f - 1 wrt c.\nAnswer: -34674*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 25 = -2*q. Let x = 7 + -10.1. What is the second biggest value in x, 2\/3, q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 46*b + 97. Let c be i(37). Suppose z + 2*w = -4*z + 8995, z - c = 3*w. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x**2 + 2*x**4)*(123 + 161 - 88).\nAnswer: 392*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4145 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 159, 3, -1, -10, 1 in descending order.\nAnswer: 159, 3, 1, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 11836*q**2 + 130640*q - 118800.\nAnswer: -4*(q - 10)*(q - 1)*(q + 2970)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-18 - 4) - (-16 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -2 + 3 + -2. Let a = -4.5 + 4.3. What is the nearest to a in -3, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + s**2 - s - 1. Let y(o) = -20*o**3 - 15*o**2 + 15*o + 15. Let b(g) = g**3 + 16*g**2 + 41*g - 4. Let v be b(-13). Give v*a(f) - 2*y(f).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4215020 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2437278, 4874516, 7311754, 9748992, 12186230?\n\"Answer: 2437238*v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/sqrt(7)*1)\/sqrt(7)*-3.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 5\/4 (c) 4\/7 (d) -2 (e) 4.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40597 - 40537. Solve -1447*z + 1457*z = u for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 24566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 0 + 3 + -8 + 4. Solve 0 = z*p - 5 - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u**2 + 2. Let f be j(1). Let d(q) = -2*q - 6. Give d(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2503, -10008, -22517, -40030, -62547, -90068?\nAnswer: -122593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818.0004 nanograms to micrograms.\nAnswer: 0.8180004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 96, -52, -234, -456, -724, -1044, -1422?\nAnswer: -1864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114669805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 63.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7806.2103ms in days?\nAnswer: 0.00009034965625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 + 10 = 0. Suppose 0 = i*t - 11 - 29. Let h(o) = o**2 - 9*o - 4. Is 5 a factor of h(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178.7 * 1\nAnswer: 178.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/7)\/(y\/(y\/y**(1\/9))*y)*(((y\/(y\/(y**0\/y)))\/y)\/y)\/(y*y**(-2\/21)\/y) assuming y is positive.\nAnswer: y**(-271\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 3093*c**2 + 183138*c + 180048.\nAnswer: 3*(c + 1)*(c + 62)*(c + 968)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y + 37. Let a be i(7). Let h = -61\/6 - -21\/2. What is the third smallest value in -4, h, -1, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2999 is divided by 376.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a gram in micrograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v**3\/15 + 584*v**2\/15 + 2002*v\/5 - 588\/5.\nAnswer: 2*(v + 21)**2*(7*v - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/2 and 179\/5790?\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465319884?\nAnswer: 2, 3, 38776657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 2*v, 2*v - 5*o + 176 - 169 = 0. Solve -2*x + 4*z + 5 = 13, -3*z = v*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0256 - -1.9744. Which is the second smallest value? (a) -454 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 4*v + 30 - 67, 4*d = 3*v + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 162. Let g be d(0). Let b = -1576 - -1835. Let a = g + b. What is the remainder when a is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 12:28 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 12. Let x = 50 + r. Suppose 5*o + x = -3*h, 0 = 4*h - 3*o + 2*o + 53. Which is the third smallest value? (a) 2 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 23 (b) 1 (c) -2\/13 (d) 2\/21 (e) -5 (f) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/42 and -227\/166803000.\nAnswer: 166803000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 57. Let h be n(-59). Let d = -1.9 + -0.1. Which is the second biggest value? (a) h (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 = 15. Let h(z) = 21*z**2 - z**3 - 5*z - 12 - 17*z**2 + 6*z**2. What is the units digit of h(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801353957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(23\/(161\/42))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.6, 532165, 4\/7 in descending order.\nAnswer: 532165, 4\/7, -12.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11947413 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*v + 216*v = 255. Let w(x) be the first derivative of 0*x + 0*x**v + 5\/4*x**4 - 10*x**2 - 12. What is p in w(p) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) 1 (b) -0.5 (c) -1107\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -1.8. Let p = 1.5 - v. What is the third biggest value in 4, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01237442169 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 37.80563ml?\nAnswer: 0.03780563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/88 - 11\/(-44). Let u = 3\/73 - -52\/511. Which is the third biggest value? (a) 4 (b) u (c) -2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 - 230. Let h = -706 - f. Let m = h + 627.374. What is m rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - -19. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(1*(-6)\/(-78)*(-242)\/484)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65.7 - 60. Let g = -710652.4099946 - -710658.11. Let s = g - y. Round s to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 2*a + 3*a - a + 0*a + (-a + 2*a + a)*(-1 - 1 + 4) + a - 3*a + a - 4*a + a - 4*a)*(a - 4*a + 2*a)*(3*a + 0*a - 2*a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24104, 96593, 217464, 386723, 604376, 870429?\nAnswer: 1184888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-3 - 1)) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046279 times -0.07?\nAnswer: 73239.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -8*o + 4. Let u(i) = 18 - 9*i + 12*i - i - 17 - 3*i. What is 2*f(r) - 18*u(r)?\nAnswer: 2*r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -14.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = d + 2*u - 6, 0 = -5*d + 3*u + 22. What is the third derivative of -22*k**2 - 81*k**4 + 5*k**2 - d*k**3 + 86*k**4 - 20*k**2 wrt k?\nAnswer: 120*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16657 + -0.32.\nAnswer: 16656.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(192))*1.\nAnswer: -1 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -1918 (c) 9\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -0.021627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3455 divided by -1.\nAnswer: -3455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -788*s + 148932. Determine r(189).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -70716.15619 to the nearest 1000.\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 4096.\nAnswer: 208896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -8*c. Let n = 130 - 116. Let t(v) = -v - 1. Let s(u) = -3. Let m(y) = -s(y) + 3*t(y). Give n*m(a) - 5*j(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*l = -27, -2*l - 44 + 124 = b + 49 + 45 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from zzzddzdzdddzdddddzd?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 34. Let x = 29 - m. Does 3 divide (-4)\/(-8)*1*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 - 49*u**3 + 7*u**3)*((-4 + 4 - 1)*(-3 + 2 + 2) - 3 + 2 + 2 + (-3 + 3 - 2)*(5 + 5 - 4)).\nAnswer: 456*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - 210032120031?\nAnswer: -210032113303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)\/(s*s**(4\/7)\/s*s))\/((s*(s\/((s*s**(1\/2))\/s))\/s)\/s)**(-23) assuming s is positive.\nAnswer: s**(-373\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 4*w + (4*w - w - w)*(0 - 2 + 0))*(-7 + 7 - w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -283?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6488 (base 9) to base 6.\nAnswer: -34042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/3 + 4430*m - 39897 = 0.\nAnswer: -13299, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*15\/(-50)*1\/(-3))\/(-18).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (74 - -1) + -2740 + 2706\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 2\/9, 6, -10348?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 2*y - 2*y**2 + 6 + (2*y - 7*y + y)*(-y - y + 0*y) + 5*y**2 - 6 + 6 in the form d*y + q*y**2 + u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*y + 5*y, 2*s = 5*y + 16. Let h(a) = -a**3 + 3*a**2 + a - 1. Let x be h(s). Let o = 11 - x. What is the remainder when 16 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 14*a**2 + 5*a**2 to r + l*a**2 + o*a and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*g + 5*y, -2*g = 3*y. Let j(x) be the third derivative of -1\/240*x**6 + 1\/60*x**5 + 0*x + g*x**3 + 0*x**4 + 0 - 5*x**2. Factor j(r).\nAnswer: -r**2*(r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 15 - 21 = -4*i, 5*s - 23 = -2*i. Suppose s*t + 4*c - 921 = 1240, -3*c - 3 = 0. What are the prime factors of t?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*p + 5*n + 22, -n = p - 22. What is the remainder when 69 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(1\/5))**(29\/4))**24)**(-9) assuming u is positive.\nAnswer: u**(-6264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25066386827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5189, -19581, -43571, -77159, -120345, -173129, -235511?\nAnswer: -307491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-2) - 4 - -5302. What is the greatest common factor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -266 + 267. What is the highest common divisor of 19 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 1. Let h(a) = -6. Let n(r) = 2*b(r) - h(r). Let d be 0\/(3 - 4\/2). Let i(g) = 4*g - 5*g + 2 + d*g. Determine -7*i(k) + 4*n(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/21))\/(o*o\/(o*o\/o**(-24))*o))**(-1\/35) assuming o is positive.\nAnswer: o**(-506\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011001001000111101001 - 110000?\nAnswer: -10011001001001000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 72737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 42383345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17.2, 90, -1.04, 0.3 in descending order.\nAnswer: 90, 17.2, 0.3, -1.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110182313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a meter in millimeters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/6 - 12*y. Let w(p) = -6*p**2. Give w(c(u)).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -211*b + 1279. Let p be w(6). Solve -p*k - k = -42 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6736549*-0.1.\nAnswer: 673654.9","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*l - 5*l. Let j be (-3 - 20\/(-8))*l. Let q(s) = s + 5. Let b be q(j). Solve -6 = p + 3*r, -p - p - b = -5*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*m + 47 = -215*m - 83. Let c(r) = -2*r**3 + 13*r**2 - 12*r - 6. Determine c(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 771853573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 6*n**2 + 2 + 0*n**3 - 3*n + 4*n + 3. Let j be ((-3 - -3)\/5)\/(-1). Suppose -13*f + 3*f + 60 = j. What is x(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 40 = 373*j - 370*j, 4*j = -3*s + 24. Solve -s = 2*a, -4*a - 21 + 5 = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80460, 80424, 80390, 80358, 80328?\nAnswer: 80300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 836359439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 48 - 127. Let h be (-16)\/(-70)*b\/(-14). What is the biggest value in -4, h, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -18*i - 36. Let r be -2 + 0 + -1 + 2. Let l be 0 + 4\/(2 + r). Let a(u) = -7*u - 13. Let y(j) = -3*j - 6. What is i*y(t) + l*a(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -41184499.89 and -7.\nAnswer: -41184506.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((1*sqrt(275)*-2)\/sqrt(5))\/(sqrt(605) - (sqrt(605) + (sqrt(605) + sqrt(605)*1)*-2)))**2.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 5. Let u be o(-7). Suppose -5*z + 4*l - u = 0, -3*z + 4*l - 2 = 4. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1075)\/30)\/(-5) + 3 and 99\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 386923\/(-349932) - (13 - 14). Let i = f + -5\/2892. What is the common denominator of i and 19\/7?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, x: 7}. Give prob of sequence xxyx.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/10390 and 3\/46?\nAnswer: 238970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 j when three letters picked without replacement from jiiiiijjinjnnjii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558\/(-42) - (-598)\/46.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -686*i - 312876. Give s(-456).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 109*a - 733. Determine x(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5198062*c**2*d**3 - 4*c**2 - 54421*d**3 - d**2 + d + 2 with respect to c.\nAnswer: -10396124*c*d**3 - 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*p + 10 = 0. Let s = -300.9 - -301. What is the nearest to 0.2 in 1, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 8, -5, 33 in increasing order.\nAnswer: -5, -2, 5, 8, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17784587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 14) to base 10.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8454 or -8484?\nAnswer: -8484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/21128 and -9\/2?\nAnswer: 21128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 251957 bigger than 251950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 - -0.07. Let q = -36 + 37. Let y = 0.1 - -0.4. Which is the closest to t? (a) y (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 - 2. Which is the second smallest value? (a) 3 (b) t (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x\/x**(-2\/5))\/x*x))\/x*x**(2\/7))\/(((x\/(x*x*x**(-1\/3)*x*x*x))\/x)\/x)**50 assuming x is positive.\nAnswer: x**(29528\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/5*(-3 - -2). Let r(j) be the second derivative of -j**4\/3 + j**3\/2 + 2*j**2 - 706*j. Let b(g) = -7*g**2 + 5*g + 7. Determine v*r(q) - 3*b(q).\nAnswer: q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-52) - 0\/(-5). Suppose -2*x = 3*c + 3 - 13, -x = -5*c + 21. What is the closest to x in p, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 58. Suppose 0*k - 5*k + l = 0. Solve -k = -8*h + 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11810.\nAnswer: 2, 5, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-4)\/(-3))\/((-24)\/(-18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -27 - 25. What is the tens digit of g\/18 - 423320\/(-342)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12089626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 60 + (-519 - -516)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 53*r**2 + 6 - 54*r**2 + 59*r - 53*r. Calculate b(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3723 + -3730. Which is the biggest value? (a) r (b) 2\/13 (c) 401\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79431 != -79385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-65) + (-1245)\/65. Let m(k) = 2*k**2 + 38*k + 7. Let s be m(q). Solve 4*w - 5*z = -s, w - 5*z = 3 - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and 11.2.\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16502*z**3 - 13466*z wrt z.\nAnswer: 99012*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -8. Let a(z) = -128*z - 125. Let o be a(-1). Let u be 4\/(-18) + 220\/18. Solve o*q - 7*q - u = l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfuzfzbhbz. Give prob of sequence uh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/55 and 62\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*k - 316*k = 1613 - 5969 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 835\/20 + 6\/(-8). Let m = z + 143. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 l, and 1 z when three letters picked without replacement from zzlljzlzjdjlyz?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 8 + -6 - (1 + 4)) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0) + (-1928)\/14. Let x = -433 - -294. Let n = x - d. Is -1 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712 (base 14) to base 10\nAnswer: -1388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Let w be (-2)\/11 - (-1398)\/66. Let y(g) = 33*g + 21. Let j(t) = 8*t + 5. Let o(k) = w*j(k) - 5*y(k). What is c(o(f))?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2571\/13 + 198. Let r(u) = -3*u + 7. Let k be r(7). Let t be (-1 - 1)\/k + 0. Which is the second smallest value? (a) t (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwjjwwpkwwwkwpjw. What is prob of sequence pkp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8341, 8362, 8409, 8494, 8629, 8826, 9097?\nAnswer: 9454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 639180 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9811595.\nAnswer: 5, 1962319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*m**2 - 5*m - 7?\nAnswer: 10*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 14. Let c(q) be the first derivative of -2\/3*q**6 + 1\/4*q + 1 - 73\/16*q**4 - 11\/8*q**o + 43\/12*q**3 + 14\/5*q**5. Let c(b) = 0. What is b?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 26 = -2*f, -139*f + g = -136*f - 39. Let b(v) = -51*v + 1. Let q be b(-1). What is the greatest common factor of q and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/21)\/((-3)\/(-42)). Solve -6 = b*l - 7*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 5*o**2 + 12*o + 3. Let d(a) = 4*a**3 - 16*a**2 - 36*a - 8. Let g(m) = -3*d(m) - 8*q(m). Determine v so that g(v) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30*(-59)\/(9735\/(-22))*22\/4\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 75 = 3*d. Suppose 0 = -4*r + 4*z + 26 + 54, 10 = r - 3*z. What is the greatest common factor of r and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*y + 374 = -521 - 119 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -640 - -644. Suppose -5*u + 7*u - 30 = -4*k, 0 = -a*k - u + 25. Solve -12 + 22 = k*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*o**2 - 18*o**2 - 14*o**2)*(2 - 3 + 3) + 0*o**2 - o**2 - o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -118?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (279\/62)\/((-18)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4784 - 4781. Let a = -0.1 - -0.1. Let v be 4\/(-22) - (2 + -2). Sort a, h, v.\nAnswer: v, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.03419 to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 882271.5ml to litres.\nAnswer: 882.2715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**3\/5 - 5519*l**2 + 165598*l\/5 - 220808\/5 = 0.\nAnswer: -27601, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**(-15)\/x)\/((x*x**(2\/111)*x)\/x)*x**(-5\/8)*x**(1\/62))**27 assuming x is positive.\nAnswer: x**(-3623841\/9176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(208)*1 + 5)**2 + (0 + sqrt(325)*-1)**2).\nAnswer: 240*sqrt(13) + 3348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 16*z + 70. Suppose -9*w + 178 = z. What is the remainder when 93 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1119*v**2 - 8605*v + 51889552 wrt v?\nAnswer: -2238*v - 8605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6*o + 9. Let n be (6 - 0) + o + -4. Suppose 13 = n*m + 4*c - 33, 0 = 4*m - c - 20. Solve 4*l - 2*u = -0*l + m, -u - 9 = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91059.2205 - 123.\nAnswer: -91182.2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12628616 divided by -242858\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 15 = h, 453654*y - 3*h = 453655*y - 37 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000321285 rounded to five decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*x + 20 = 0, 2*u - 20 = -2*u + x. Suppose -3*p + 6 = 3*f - 195, 4*p + u*f = 266. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 5 = 125. Calculate the least common multiple of 1 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a1c (base 13) to base 8\nAnswer: -3263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 447764 and 6908?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-5 + (7 - 9) + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**3 - h**2 + 2*h + 4. Let s be 6\/(-45) - 64\/(-30). What is the units digit of b(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*(3 - -5). Let n(h) = h**3 - 6*h**2 + 5*h + 4. Suppose 0 = 4*x + 16 - 36. Let t be n(x). What is the highest common divisor of w and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1797738.\nAnswer: 2, 3, 299623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3838934, -7677838, -11516742, -15355646, -19194550?\nAnswer: -23033454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 5 + 3 + 3864. Round b to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.5 (b) -0.17 (c) -0.6 (d) -0.1 (e) 2 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*y = -5, 1 = -y + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 10. Suppose 5*w + 6 = -14. Let n be t(w). Sort -1\/7, -2\/9, n in decreasing order.\nAnswer: n, -1\/7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 1595*q - 285874. Give a(272).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 939 + 4?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 621454 and -4.\nAnswer: -2485816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(1\/(-4)). Let j(v) = 2*v - 2*v + v. Give j(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 1060.\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 12. Suppose n - 3*n - 18 = 0. Let q be m(n). Let u be 2 - 10\/20*(1 + -1). Is u at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -154. Let q = 23 + u. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 307*m**3 + 1709*m**2 - 36*m. Let z(t) = 2148*t**3 + 11961*t**2 - 243*t. Let b(h) = 27*l(h) - 4*z(h). What is the third derivative of b(x) wrt x?\nAnswer: -1818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4161009 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47280, 72766, 98252?\n\"Answer: 25486*m + 21794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1461919 = 4*y - 3*y. Let o(j) = 22876*j**2 + 5*j - 6. Let i be o(5). Let v = y + i. Round v to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 120455 and 120453 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 363 and 2673.\nAnswer: 29403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(1\/9*-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -14*k - 8. What is the units digit of m(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -0.452. Let n = y + -0.111. What is n rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -66, -127, -192, -249, -286, -291?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*j + 6746386*j**3 + 69*j.\nAnswer: 6746386*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*o - 12*o - 23*o - 2142 = 65*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(9\/(135\/6)). Let r = -9 - f. Let y be -6*(r - (-11)\/(-3)). Solve -3*o = -4 + y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/630)\/(1\/10*8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25789 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i - 4*m + 14 = -26*i, 2*m - 1 = 3*i. Solve -l = i*o + 12, -4 = 3*l - 5*o - 38 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95 + 879. Suppose -2*p - 1332 = -2*k + 276, 4*k + u = -p. Round p to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 6*w - 3*w - 2, -2*t - 5*w = -24. Let f(m) = -m**2 - 4 + t + 6 + 6*m. What is f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 201262 - 201263. Let p = -0.06 - -9.06. Let k = -8.89 + p. What is the smallest value in u, -1\/2, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 9*j - 6. Let c be b(-6). Suppose h = 4*h + c, -2*v = 2*h + 2340008. What is v rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/69)\/((-112)\/90*-5)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*h - 13*h. List the prime factors of (32\/2)\/h - -359.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrrrrrrqrwwqrrwrrrqr. Give prob of sequence qwq.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**2\/2 + 23*j - 4. Let g(d) = 9*d + 1. What is the remainder when g(3) is divided by q(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000276886713 rounded to seven dps?\nAnswer: 0.0002769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/(-39))\/(2\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/36*-1*3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5764 + -115213\/20. Find the common denominator of k and -131\/130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-3))\/((-16)\/(-24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59358 divided by 9893.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + k + 1. Let q be l(4). Suppose -y - 4*i = 21, q = -4*y - 4*i - 15. Let o = -213 + 208. Is y > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.8012ns in minutes?\nAnswer: 0.00000000588002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 6*k**2 - 9*k - 9. Let z be h(-7). Suppose 3*i = z*i. Which is the closest to -2\/7? (a) -1 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2243 = -3*t + 5*k, -50*t + 46*t = 5*k - 3014. List the prime factors of t.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u**3 + 2*u**2 - 5. Let t(i) = -11*i**3 - 3*i**2 + 6. What is -3*l(b) - 2*t(b)?\nAnswer: -8*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*v + 6*v = 72, -v = -c + 8. Calculate the least common multiple of ((-3)\/5 - -1)*5 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4985893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.15, 16, 0, -1960?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -5) + 4 + 0 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3\/w)**6\/((w\/w**(3\/43))\/((w\/(w\/((w\/((((w\/w**39)\/w)\/w)\/w))\/w)))\/w)))**14 assuming w is positive.\nAnswer: w**(30744\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*k + 144 = 0, -5*c + 4*k = -6*c + 39. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 41*x = 38*x - 4539, -3*y - 3*x = -13689. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2469 is divided by 755.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5493 + 14454. What is the thousands digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13476, -26898, -40216, -53376, -66324?\n\"Answer: 9*f**3 - 2*f**2 - 13479*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4433020 is divided by 8992.\nAnswer: 8956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:37 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from {e: 3, a: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1606\/3 + 540. Let n = 57644662\/103347 + -2\/103347. Let s = n + -553. What is the common denominator of s and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -592*d**4 + 326*d**3 - 26119*d.\nAnswer: -7104*d**2 + 1956*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -620 at least -644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 16*o**2 - 685*o + 372. Give x(42).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a75665 + -3?\nAnswer: -1a75668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + b**2 + b. Let l(r) = 2*r**3 + 187*r**2 - 1076*r. Let u(c) = l(c) - 5*x(c). What is the second derivative of u(h) wrt h?\nAnswer: -18*h + 364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(242) + -1 + 5))**2.\nAnswer: 2200*sqrt(2) + 6450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*j*t*x - 7*j*t + 203*t*x + 6*t wrt x?\nAnswer: 4*j*t + 203*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-5 + -1 + 4 - (-5 + 9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -32, 10, 25 in ascending order.\nAnswer: -32, -3, 4, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d8 (base 16) in base 13?\nAnswer: 5a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13057*g**2*q - 3*g**2 - 19*g - 181*q wrt g.\nAnswer: 26114*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 11*s**3 - 2*s**2 - 8*s + 5. Let b be h(-6). Let v be (-4)\/(-7) + b\/(-35). Let t = v - 30. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjfjffffff. What is prob of picking 2 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1440 and 174720.\nAnswer: 524160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -102*z - 2802. Determine b(-25).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-8)*(2 - 4). Suppose 5*y - 130 + 521 = q*k, 5*y + 645 = 5*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -28. Solve -n*d + 3*d - 4*y - 7 = 0, d + 5*y = -6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1819754 - 5350076663\/2940. Calculate the common denominator of x and -67\/6.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 11718.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3168, 12699, 28592, 50847, 79464, 114443?\nAnswer: 155784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*t + 54, 0*t - 3*t - 27 = -3*p. Let j(x) = -x**2 - 2*x. Let z(v) = -2*v**2 - 5*v. Calculate p*j(s) - 4*z(s).\nAnswer: -3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0*y + 0 - 1\/35*y**7 + 0*y**3 + 1\/20*y**5 + 0*y**6 + 0*y**4 - 6*y**2. What is the third derivative of m(p) wrt p?\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233\/204 - -20\/51. Sort -2\/7, -7\/6, j in descending order.\nAnswer: -2\/7, j, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnjnnnnnnnnjnnnjnnnn. What is prob of picking 3 n?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = 2*m. Let h = -8 - -13. Solve -m*u - 2 = -h*u + 3*v, 0 = -3*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -61. Suppose -5*q - 4 = 1. Let r be (-1)\/((3\/q)\/(-9)). Sort 4, u, r in descending order.\nAnswer: u, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11353098.\nAnswer: 2, 3, 1892183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44, -31, 4, 73, 188, 361, 604?\n\"Answer: 2*v**3 - v**2 + 2*v - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**2 + 15*s - 90. Let y be a(7). Let v = y - -266. Calculate the remainder when v is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.97142 - -0.02858. Which is the nearest to -7? (a) w (b) -3 (c) -12 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 8*j**2 + 5*j + 6. Let o be q(-7). Suppose -17*w - 6 = -o*w. Solve -5*m + 0*d - 7 = w*d, 4 = m - 5*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 9 + (8 - 18) + -22 + 19?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {v: 4, p: 8, q: 1, l: 5}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.21 * -0.32246\nAnswer: 0.3901766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 6. Let c be z(4). Let l be -5*7\/((-105)\/6). Let y be 1\/1*l\/(-2). Let i(d) = -d**2 + 2*d - 2. Let a(s) = s - 1. Give c*a(q) + y*i(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/(32\/4) + (30 - -2) is divided by 2\/6 + (-224)\/(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*b**3 + 1566.\nAnswer: -213*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -4 - (-4)\/(-2). Let g = s + 8. Suppose w - 3*v + 6 = 0, -2*w + 5*v - 4 - 5 = 0. Calculate the highest common factor of g and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o = -3*l + 10, -2 = -o - l. Suppose 6*z = 32 + o. Calculate the greatest common factor of 9 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:24 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -17*b**2 - 1. Let p(a) = -15*a. Calculate n(p(t)).\nAnswer: -3825*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11*c - 11. What is o(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*n**3 - 556*n**3 - 933*n**3 + 1559 - 1559.\nAnswer: -1862*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 14*a - 34*a + 6*a.\nAnswer: -14*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 795 and 6680040.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebbesbesisii. What is prob of sequence ees?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**3 - 2*c**2 - 6*c - 3. Let w be (-5 - 1)*672\/576. Let h(s) = -5*s**3 + 2*s**2 + 7*s + 3. Give w*u(z) - 6*h(z).\nAnswer: 2*z**3 + 2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 3*d + d + 5*r, -3*r = -2*d + 5. Suppose -3*u = 5*m + 11, 2*m - 2*u - 3 = m. Is d < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a47013 (base 11) in base 4?\nAnswer: 31022101232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.3 and -0.8?\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by -40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 29 = 1. What is the smallest common multiple of g and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22890682 rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9bc (base 13) in base 16?\nAnswer: 68c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000030596766 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/165843? (a) 0.04 (b) 5 (c) -0.5 (d) -4 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 577335*u**3 + 1927473.\nAnswer: 1732005*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from gjjggjgjjfjfj.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842509?\nAnswer: 41, 20549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 226*o**4 - 30*o**4 + 5*o**3 - o**5 - 5*o**4 - 13*o**3 - 12670*o + 7*o**3 wrt o.\nAnswer: -20*o**3 + 2292*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 2*p**2 - p**2)*((-1 - 2 + 5)*(3*p + 7*p - 6*p) - p + p - 3*p).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 232*f + 234*f - 2 - 691*f + 297*f**2 + 225*f in the form t*f**2 + o*f + b and give t.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134791.\nAnswer: 37, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**4\/24 + 5*f**3\/2 + f**2. Let i be o(-13). Factor 12*j + j**2 + 18 - 4*j + 4*j + j**i.\nAnswer: 2*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4366 + 4681. What is the least common multiple of j and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 22 = p, 4*p = -0*p - 12. Solve -2*u + u + g = 4*r, 0 = 2*u + 4*r - 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4. Suppose -2*t = -k*t - 14. Solve 0 = 4*l - 13 - t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/195 and -2\/13.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, m: 2}. Give prob of sequence mum.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 947 (base 14) to base 6.\nAnswer: 12243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 416.2.\nAnswer: 332.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 + -2385081011?\nAnswer: -2385081009.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 558027683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23541 and 531?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7144\/(-94) - -81 - (1 - 32*-1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197012442 divided by 6?\nAnswer: 32835407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*b**3 + 96859*b - 96859*b - 29 to k + h*b**2 + w*b + g*b**3 and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 6423320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5, -3*u + 4*u = 5*g + 19. Let o = u - -7. Suppose 0 = -0*r + 2*r - 8. Solve o = z + 5*c + 13, -4*z = -r*c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -10*p + 13*p - 10*z, -4*p - 2*z + 1111 = 1109 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 30242*v - 181532. Calculate w(6).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 65*b**2 + 41.\nAnswer: 65*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = 2*c, 2*y = -c - 1 - 7. Let n be (-220)\/40*24\/(-22). Calculate the greatest common factor of c and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/(-105) + 1\/(-3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*t + z, -3*z + 48 = 5*t - 7*z. Suppose 0 = -4*o - 4 + t. Let a(v) = -2*v - 3 + 1 + o. Let g(n) = -n**2. What is g(a(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24612, -49147, -73606, -97989, -122296, -146527, -170682?\n\"Answer: 38*w**2 - 24649*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**5 - 4*l**4 + 8*l**3 + 15*l**2 + 3*l. Let b(d) = -d**5 - d**4 + d**2 + d. Let r(i) = 3*b(i) - z(i). Factor r(k).\nAnswer: k**2*(k - 3)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 6. Let g be w(-13). Let p = -11 - g. Calculate the greatest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from hfhvmmfvhfhfmfhmm.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:06 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a - 3*a + 5*a)*(6 - 3 - 2).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62700)\/(-5500)*1*5?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 134346?\nAnswer: 1\/22391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -28*u**2 - 289*u - 96. Give s(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 1. Let v(o) = o. Suppose -5*x - c = -34, 4*c = x - 3*x + 28. Let t(n) = x*v(n) - 2*k(n). Give t(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 2814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*f - 22261 + 22171. Solve k = f*l + 7, -5*k = -3*l - 4*k - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 32*i + 101. What is the remainder when 491 is divided by m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*p + 126 = 197*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 11*t**2 + 14*t + 28. Suppose 16*b - 8*b + 96 = 0. Let n be h(b). Is (-4 - n*-1263) + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741286970.\nAnswer: 2, 5, 41, 1808017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + h + 4*h + 75 = 0, 5*h = u - 19. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 148. Let l = -95 + o. What is the second derivative of -13*t - 52*t**4 - l*t**2 + 48*t**2 - 23*t**2 wrt t?\nAnswer: -624*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/49 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -192 and -372.\nAnswer: 71424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-2 + 3)) + 7. Let h = -324.1 + 349. Let q = h - 25. Sort q, -0.2, m in descending order.\nAnswer: m, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -991 + 42615\/43. Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k\/(k**(-1\/3)*k*k)*k*k*k)\/k))**(-9)\/(k**(-5\/2)*k**(-1\/2)) assuming k is positive.\nAnswer: k**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 4909879.\nAnswer: 14729637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 - -209. Let k = 342 - o. Solve 0 = 11*d - k*d - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/8)\/(12\/4).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 2358*f**2 - 6*f - 34*f - 6.\nAnswer: 2358*f**2 - 40*f - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 57*f + 34. Let z be x(9). Suppose z = -10*j - 333. What is j rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -6. Suppose -5*z = -5*q - 10, -3*q + 6*q = 4*z - 8. Suppose 6*u - u - h = q. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g + 5. Let n(w) = -8*w - 11. Let u be (-8)\/(36\/(-15) + 10\/25). Suppose u*o + 67 = 3*x, x - 77 = 5*o - 7. Determine o*a(v) - 6*n(v).\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/498 + -274951\/5478. Let t = -50 - q. Let v = -60.95 - -61. What is the closest to v in 5, -5\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 2. Suppose 3 = -v + g*v. Solve 3 = -5*n + v*o, 5*n - 2*o = -5*o + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222168982.\nAnswer: 2, 7, 139, 114167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 358 = 5*u, 313 - 93 = 3*u + 4*a. Does 31 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20316 + -11709. Is q a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 19893671?\nAnswer: 19893671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:55 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 23 = -3*w, -4*v - w + 4*w + 37 = 0. Let u(x) = x**3 - 9*x**2 - 17*x + 30. Determine u(v).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 475 and -10773238.\nAnswer: -10772763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a + 605 = 182. Solve a*k + 42 = 30*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 = 3*i, 3*j + 2 = 4*j - i. Suppose -b + 21 = f, 5*b = -5*f + b + 102. Calculate the smallest common multiple of j and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 443.1 and 2?\nAnswer: 441.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3718)\/3042)\/((-110)\/510)\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 151 (b) -1\/25 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -351.\nAnswer: -1\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(320) + 1) + 5)**2 + (-3*(sqrt(200) + sqrt(50) + sqrt(50) + sqrt(50)) + sqrt(50))\/(sqrt(40)*4).\nAnswer: -7*sqrt(5)\/4 + 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(9*(-6)\/(-1494)) is divided by 58.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - n**2 + (3*n - 6*n + n)*(1 - n - 1) - 5*n + 5*n + 2*n**2 + 6*n**2 + 14 - 14 + n**2 - n**2 + n**2 - 1 + 1 - n**2 + (-n + 4*n - 2*n)*(2 - n - 2).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*h - 37483 = 2563*h - 70600 + 240597 for h.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q. Suppose -15 = -4*k + 57. Suppose f + 0*f + 4*w = k, 0 = w - 4. Let v(u) = u**2 + 0*u**f + 0*u**2. What is v(c(t))?\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-4 - 0 - -5) + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32894, 65793, 98692, 131591, 164490, 197389?\nAnswer: 230288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2130857746?\nAnswer: 2, 1065428873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2130 and 247110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5, -4*r + u = -3*u - 8. Sort 1\/7, r, 5 in descending order.\nAnswer: 5, r, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -3383*m**4\/4 + 94*m**3 - 2*m + 3460. What is the third derivative of j(l) wrt l?\nAnswer: -20298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-9)*3*1\/(-3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 11*p + 36. Determine o(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 2:37 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 3, i: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**5)\/(u*u\/(u**12*u*u))*u**7\/u*(u\/u**3)\/u)**(4\/29) assuming u is positive.\nAnswer: u**(44\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 6, 24, -1.\nAnswer: -3, -1, 0, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 5. Suppose -5*j = k + 20 + r, 2*k - 13 = 3*j. Let t be 1*(-1)\/5*k. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -151*q**8\/336 - q**5\/60 - 91*q**3\/2 + 1076*q**2. Find the third derivative of a(f) wrt f.\nAnswer: -9060*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2777748251.\nAnswer: 701, 941, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 355? (a) -0.058 (b) -9\/4 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -18. Let b be 3\/(9\/f) + -2. Find the third derivative of 24*p**b - 9*p**3 - p**2 - 13*p**3 wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 1. Let p be z(-2). Solve p*d - 12 + 37 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 468509764, 468509762, 468509760, 468509758, 468509756, 468509754?\n\"Answer: -2*n + 468509766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -589 or -591?\nAnswer: -589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 - 82 = 5*y - n, -3*y + 21 = 5*n. Let f = 0 - 1. Let j(d) = -d - 1. Let p(q) = 1. Let r(a) = f*p(a) + y*j(a). Give r(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 times -0.02?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3)*(-9 - -9). Suppose -4*r + 24 = 4*v, v - 3*r = -n*v - 14. Let i = 1417\/35 + -201\/5. What is the fourth smallest value in v, -1\/5, 1\/4, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -9. Suppose 139 - 37 = c*z - f, 5*z + 3*f - 156 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 9 + 88*k + 811*k + 5 as i*k + s and give i.\nAnswer: 899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 14, -7 in ascending order.\nAnswer: -9, -7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16883 + -16870. What is the nearest to 0 in -1, v, -4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 3*x - 119*x**2 - 3*x + 372*x**2.\nAnswer: 253*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d + 20 = 0. Solve 2*b - 2 = -2*x, -d*x - 3*b + 6*b = -13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102 - 1211?\nAnswer: -11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170*b**2*l**3*s**2 - 373*b**2*l**3*s + 3*b*l**3 + 6*b*l*s**2 - 16*l**3*s - 2*l*s + 1 wrt b?\nAnswer: 340*l**3*s**2 - 746*l**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349276 is divided by 1217.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*t - 322*t + 3074 = 385*t for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8401699?\nAnswer: 8401699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12750.07 + 12750. Which is the nearest to l? (a) -12\/23 (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/7 - 33*b**4\/7 + 1572*b**3\/7 + 29440*b**2\/7 + 122112*b\/7 = 0 for b.\nAnswer: -53, -8, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19957810 by -1995781.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-592)\/(-4218)*(-9)\/(-12)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 6*o - 2*o)*(-o**2 + 0*o**2 - o**2 + (0*o + 4*o**2 + 0*o)*(-5 + 1 - 7) + o**2 - 2*o**2 + 3*o**2) - 15*o**3 + 30*o**3 - 17*o**3.\nAnswer: -178*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4728569864 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54538 and 1518.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 60 = -4*f - 4*d, 43 = 5*f - 3*d. Let w be (-1 - -1)\/(48\/16). Suppose 0 = -w*t - t + 41. Calculate the remainder when t is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1103*c - 478 wrt c.\nAnswer: 1103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g + 27. Suppose 5*k - 5 = -2*h + 1, 2*h - 2*k = 6. Let t be c(h). Solve 6 = -3*z - t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/8 (b) 0 (c) -3 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16839715.6 rounded to the nearest ten thousand?\nAnswer: -16840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2 - ((-826)\/105 - -6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 s when three letters picked without replacement from ssmmms?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 - 5 + 5 + (-3*u**4 + 2*u**4 - u**4)*(-5*u + 2*u - 2*u).\nAnswer: 8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-2*u + 3*u + 0*u) + u - 3*u + 0*u - 53*u - 259*u - 1124*u + (-u + 2*u - 3*u)*(-6 + 3 + 1) - 5*u + u + 3*u + u + 2 - 2.\nAnswer: -1435*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -1963*j**3\/6 - 2727*j**2 - 14*j - 60. What is the first derivative of l(w) wrt w?\nAnswer: -1963","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 21692*x**2 - 21*x - 21694*x**2 - 4 as f + n*x**2 + q*x and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 282*l - 3478. Let q be h(-13). Solve -62 = -q*o - 12*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*w + 2*k, 0 = -3*k - 8 - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-393678)\/(-162) - (-3 - 112\/(-36)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39.9 + -41.91. What is h rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.811029 years?\nAnswer: 69.732348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 19*q**2 - 11*q + 22. Let m be x(9). Suppose -2*z - 2*u = -224 - 106, 666 = m*z + 2*u. Calculate the remainder when z is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2135*f**2 - 4 - 894*f**2 - 824*f**2 + 707*f**2 - 1192*f**2 to a*f + d + m*f**2 and give m.\nAnswer: -4338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3100483*g*y + 2024226*g - 1 wrt y.\nAnswer: -3100483*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (2 - 1) - -2. Suppose 2*g + 94 - 292 = v. Suppose -4*h + 5*r + 57 = 0, 7*h - g = 2*h - 3*r. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -115231 + -11?\nAnswer: -115242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46795 divided by -191.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 - 3*o + 3*o + (-o**3 - o**2 + 0*o**3 + 2*o**3)*(129*o - 70*o + 143*o) to the form g*o**4 + p*o + a + x*o**2 + v*o**3 and give g.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 21420980?\nAnswer: 2142098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136.63 + 136. Let f = -0.3 - l. Let r = 6.83 - f. Round r to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 47. Let m = -1 - 0. Which is the nearest to 2? (a) m (b) 1\/6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 539 or 538?\nAnswer: 538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-4)*(-1 - -4). Let m(p) = p**3 - 13*p**2 - 38*p + 608. Let h be m(8). Sort b, h, 1, -2 in decreasing order.\nAnswer: b, 1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -67*k**2\/2 - 308*k + 98. Is 7 a factor of g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 7*f + 3. Let m(o) = -o - 1. Suppose -323*d = -290*d + 165. What is d*m(h) - r(h)?\nAnswer: -h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -15. Suppose 48 - 16 = n*c. Suppose -m + c = 3*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1882.188 + 1916.9. What is u rounded to 1 decimal place?\nAnswer: 34.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/((135\/(-6))\/5)*3. Let k be 1*(-115)\/x*2. What is the highest common divisor of 115 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 1702 = 1699 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a73c (base 13) to base 9.\nAnswer: -34742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 60*p**2 + 653*p - 39177. Determine r(60).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 229088 and 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -138, -204, -270, -336?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -37313.201 and -0.3.\nAnswer: -37313.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109672.\nAnswer: 2, 13709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 4*l - 21. Determine p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.023 + -0.123. Which is the closest to 1? (a) 2\/7 (b) 1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -168*p**2 + 11*p + 12. Let s be v(-4). Is 50 a factor of -2 - s\/9 - 4\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1494 - 3*n**3 - 32*n - 1494 + 0*n**3 + 36*n.\nAnswer: -3*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2 = -u - 0, 2 = -4*y + u. Let v be (y\/(-5 + 7))\/(1 - 0). Solve s + 2 = 0, -3*c + 6*c - 5*s - 7 = v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 - 3. Let f = 0.2 + t. Let d be (-3)\/(-9)*10\/15. Put 6\/11, f, d in ascending order.\nAnswer: f, d, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -7 + (-16 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*p**2 - 3*p**2 - 2*p**2)*(19 - 11 + 4) - 2*p**2 - 3 + 3)*(-33*p + 41 - 8 + 35*p).\nAnswer: -76*p**3 - 1254*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 36600158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 26*y - 73. Let r be q(3). Solve 10 = r*w - 10*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806310841.\nAnswer: 7, 3407, 33809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -28. Let i = 3 + -2.9. Which is greater: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121353016 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k + 2*k - 3 - 10*k.\nAnswer: -25*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -689 + 383. Let t = y + 1531\/5. Determine c so that -1\/10*c + 1\/5*c**3 + 1\/10 + 1\/10*c**4 - t*c**2 - 1\/10*c**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*z + 1236 = 0, -4*z = -3 - 13. Let f = y + -314. Solve -k + 13 - 18 = f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) - (-10)\/15. Suppose d = a + 2*a - 6. What is the least common multiple of a and (-25)\/(-3) - 1\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 3*g**2 - 3)*(549*g**3 + 621*g**3 + 325*g**3 - 1027*g**3).\nAnswer: 1404*g**5 - 468*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12084 and 612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**2 + 2*i**2 - 47 + 4*i**2 - 39*i + 6*i**2. Is x(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = 2, -2*g + 1490 = f. Let h = 32473991\/21807 + -105\/2423. Let z = h - f. Calculate the common denominator of -45\/11 and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*a**2 + 2*a - 16*a**2 - 5*a**4 + 3*a**4 + 2*a**3 + 3*a**2 to w*a**3 + k*a + s*a**4 + m*a**2 + v and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 880, 951, 1080, 1267, 1512?\nAnswer: 1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-2)\/(-5)) - 3. Suppose -2*b = -5*i, 3*i = 2*b + c*i. Calculate the remainder when -7*((-6 - b) + 3) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1636 + -57264\/35. Are 1 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**5\/50 - 3*u**4\/10 + 19*u**3\/5 + 13*u**2 - 2*u + 756. Factor k(o).\nAnswer: -2*(o - 5)*(o + 1)*(o + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 5*o - 108762913 = -108763008, -3*b + 51 = -3*o for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 8*s + 2*r + 18, 0 = 2*s - 5*r - 3. Suppose s*v = 8 + 4. Suppose 2\/5*d**v + 6\/5*d - 2\/5 - 6\/5*d**2 = 0. Calculate d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + (-21)\/(-15))\/((-9)\/90). What is the tens digit of (-3*2\/8)\/(w\/336)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + (-6 - -8) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67\/40 - 7\/40. Let -o*d - 1\/2 - 1\/2*d**3 - 3\/2*d**2 = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -180 greater than or equal to -181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22030*h**2 - 21985*h**2 + 44014*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 15. Let t(s) = -s**3 + 13*s**2 - 13*s + 7. Let c be t(p). Let m = c + 9. Solve -3*g + 12 = -3*a, g + 2*a - m = 4*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494107 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/2 + 2. Put -2, p, 0.4 in decreasing order.\nAnswer: 0.4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -276.99869 - -277. What is d rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**6\/10 - 3*u**4\/8 - 5*u**2. Find the second derivative of i(x) wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 960*s - 77 - 962*s)*((-1 - 2*s**2 + 1)*(5*s - 3*s - 3*s) - 17*s**3 + 14*s**3 - 13*s**3).\nAnswer: 28*s**4 + 1050*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from lmlmmmmmm.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -3*u - 4*y - 19, 0 = -5*u - 3*y - 126. Let a be (-45)\/6*u\/15. What is the highest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223476 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38432254 to the nearest integer?\nAnswer: 6199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 0, 0*p - 4*d - 8901280 + 189021280 = -2*p. What is p rounded to the nearest 1000000?\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104233*h - 748 - 1844 = -104197*h for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 331762 divided by -10702\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 4781?\nAnswer: 38248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2200 = 5*q + f, -5*q - 2*f - 362 + 2567 = 0. Suppose 11*d = q - 54. What is the remainder when d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 98, 1\/2.\nAnswer: -5, 1\/2, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (22 - (-19 + -57) - (5 - -1 - -7))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6832562 (base 9) in base 10?\nAnswer: -3682640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 22506?\nAnswer: 22511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.6 times -2?\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63747*o**2 - 583*o**2 - 388*o**2.\nAnswer: 62776*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2. Let a(k) = 81921*k - 987. Let s(v) = 999*v - 12. Let b(t) = 4*a(t) - 329*s(t). Give b(h(g)).\nAnswer: -987*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1 + 42*u + 1 + 55*u**2 - 41*u. What is the units digit of d(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/41 + -158\/287. Let a(l) = l + 16. Let k be a(-15). Let o = 0 - -1\/3. Put k, h, o in descending order.\nAnswer: k, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -560309 and -560234 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*o + 18, 0 = 2*o + 7*w - 3*w + 6. Suppose -o*t = t - 4*v - 16, 2*t + 5*v - 15 = 0. Suppose -t*p + 2*p + 201 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179248 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214 by -112.\nAnswer: -107\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4390 (b) 2\/17 (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160539189?\nAnswer: 3, 19, 37, 163, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5280)\/220*2\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6378 - 1494*y**3 - 3186 - 3189.\nAnswer: -1494*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**6\/120 + o**4\/2 - 835*o**3\/6 + o**2 - 88. Find the first derivative of c(j) wrt j.\nAnswer: -3*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*u - 977*u**3 + 544*u + 973*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23875046 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601707 is divided by 137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 11884170.\nAnswer: 23768340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 0*j**5 + 0*j**6 + 0*j**2 - 5\/6*j**4 + 0 + 0*j**3 - 5\/42*j**7 - 10*j. What is the third derivative of w(h) wrt h?\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*(-6)\/((-180)\/(-15)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 + 92*f - 279065. What is s(290)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -6*b - 3. Suppose -10*p + 12*p = b. Suppose p*l = 74 + 42. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 h, and 2 x when four letters picked without replacement from hdhxxxhsssxxx?\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**2 + 109*t + 980 wrt t?\nAnswer: 2*t + 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 66600 to the nearest 1000.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 4*s**2. Suppose -f + 2 = 2*u + 5, 3 = 3*f + 2*u. Let w be t(f). Let n be 2\/7 - 39\/w. Is n less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 45 (b) -4 (c) -2 (d) 2 (e) -3 (f) 19 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 22*f**2. Let h(a) = -4*a**2 + 21*a. What is h(r(u))?\nAnswer: -1936*u**4 + 462*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n**2*t - n**2 + n*t - 112338*n + 3824*t + 499 wrt n?\nAnswer: -4*n*t - 2*n + t - 112338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -10*a - 38, -4*n + 2*a = -24 + 20 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3*w - h**2*w - 4257*h**2 - 6386*h*w + 556*h wrt h.\nAnswer: -12*h*w - 2*w - 8514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2915 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: Let w(o) = -129*o**3 - 153765*o**2 - 43908*o - 90. Let q(h) = 37*h**3 + 43932*h**2 + 12545*h + 25. Let j(s) = -18*q(s) - 5*w(s). Let j(l) = 0. What is l?\nAnswer: -1045, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 42*o**2 - 81*o - 304. Let q be n(44). Solve -5*b = -q*i - 13, -5*i + 0*b - 2*b = 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -74*p - 179. Is 67 a factor of t(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 308, 5, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 4*s**2 - s - 2. Let u = 70 - 73. Calculate w(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/34223 or -1?\nAnswer: -2\/34223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -2*f + y, 2*f + 3*f - y - 494 = 0. Suppose -4*z + 57 + f = 0. Calculate the remainder when 113 is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90994163 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809841?\nAnswer: 3, 269947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(9)*-2))**2 - -2*(sqrt(19) + -1).\nAnswer: 11\/4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3890402*b**3 + 3543148*b**2 wrt b.\nAnswer: -23342412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -696.8 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/8? (a) 1\/182 (b) -140 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + h - 1 - 6 = 0, 0 = 4*m - 2*h - 22 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3 = 2*a - a, 5*h = -4*a + 12. Let w(g) = g**3 - 2*g**2 - g - 3. Calculate the remainder when ((-6)\/(-18))\/(1\/12) is divided by w(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2\/3 - 5920*i\/3 + 2190400\/3 = 0. What is i?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r + 4. Let z be 2\/5*(109 + r). Let f be z\/(12\/(-7) - -2). Calculate the highest common factor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 2*l - 8. Let x be y(-4). Let h be 21\/3 - (0 - 1). Suppose 2*r = -x*r + h. Solve 2*k + 2*k - 3*n + 29 = 0, 0 = 4*k + r*n + 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2838 and 5280?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25318135.000503 + 25318280. Let f = -0.1157 + -144.8843. Let m = f + r. What is m rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41650 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1146 - 0.\nAnswer: 0.1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726 + 1 - 571 = -48*l for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 99 = -b, -2*l = 3*b - l + 287. Let i be b\/2 - (-6 + 4). Let o be 2 - i\/42 - 3. Are -1 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**6\/3 + 4*i**5\/5 + 9*i**4\/2 - 44*i**3\/3 - 4*i**2 + 48*i + 180. What is q in v(q) = 0?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93\/92 + 6\/23. Suppose -2*a = 4*t - 2 - 0, 0 = -t + 3*a + 11. Put t, j, -0.2 in descending order.\nAnswer: t, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.13, 0.05, 0, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 10*h**2 - 2*h - 15. Let p be j(-10). Suppose -3*b = -p*v - 2, b = -3*v - 2*b - 6. Put 0, 2, v in descending order.\nAnswer: 2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*c - 103*c + 290. Let g(r) be the first derivative of c + 0*r - r**2 + 28\/3*r**3. What is the second derivative of g(s) wrt s?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/(-48))\/((-3)\/(-2)))\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10395098 at least -10395098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.81*-2\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 135\/(-35) - 2\/14. What is the third smallest value in -3\/8, -2\/29, 2\/5, s?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhcmckcccmkkcmmmi. Give prob of picking 4 m.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/(-5))\/16)\/((-4)\/12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (1 + 0)\/(11\/44). Solve 2*k - 6*k + 12 = 0, t = q + 2*k - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -325, -787, -1249, -1711, -2173, -2635?\n\"Answer: -462*b + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*q - 316*q + 6*q**2 - 319*q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110110011 (base 2) in base 5?\nAnswer: -12242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + -5 + -1 + (3 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + 3*s + 4. Let x(d) = -2*d**2 + 4*d + 5. Let p = 46 - 48. What is p*x(z) + 3*a(z)?\nAnswer: -2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551 = -11*r + 24*r + 278 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 539 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*y - 7. Let l = -1.1 + -3.9. What is the closest to 0 in y, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2067901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 j when three letters picked without replacement from aanjjjnjajffaanfj?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**3 - 92833*j**2 + 46419*j**2 - 10*j**3 + 29*j + 46416*j**2.\nAnswer: -23*j**3 + 2*j**2 + 29*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - -818335310672?\nAnswer: 818335310684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*n - 1 = 2*r - 15, 3*r - 16 = 7*r + 6*n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0 - 1\/20*b**5 + 11\/6*b**3 + 2\/3*b**4 + 5*b - 5\/2*b**2. Is q(9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 20505. Let n be i(0). Let d = -410013\/20 - n. Find the common denominator of d and 103\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 4, -1, 3, 1\/4 in decreasing order.\nAnswer: 77, 4, 3, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -14, -21, -30, -41, -54?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135757 is divided by 5656?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (3 - (-1 - -3) - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-6)\/(0 - -2). Suppose t*f = -3*j + 30, 5*j - 3 = f + 17. Suppose -3*u - 5 = j*r, 4*r = 2*u + 3*r - 1. Solve -3*h + 6 - 18 = u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325609 >= 1325152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 - 1887196*k - 9436080 = 0.\nAnswer: -5, 471804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 134521264 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.94 + -0.06. Let w = 0.3 - 0.7. Let c be 7\/3 - (-1 - -3). What is the smallest value in c, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/14*553\/790.\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (5 + -12 - -4) + (-7 - -12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1268 (base 11) to base 12\nAnswer: -b53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9381236 and 14071854.\nAnswer: 28143708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307740817?\nAnswer: 1307740817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 34*y + 111. Let p be g(33). Suppose 1023 - 300 = 3*d. Let x = d - p. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348443416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 3, w: 2, n: 1}. What is prob of picking 1 w and 1 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 556840?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2566.\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v = g - 5, 2*v + 11 = -5*g. Suppose v*s + 4*a = 4 + 6, -13 = -4*s - a. Suppose s*d = d + 6. Solve 0 = -b + 7 - d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l - 12 = -21*l. Let k(b) = b**2 + 10*b - 24. Give k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*k**2 - 76*k**2 + 38*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v**3 - 13*v**2 - 7*v + 13. Let h(x) = -4*x**3 - 6*x**2 - 3*x + 6. Let w = -37 - -24. Determine w*h(a) + 6*z(a).\nAnswer: -2*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**4*y + 13761750*g**4 - 2*g**3*y + g**2*y + 11419929*g*y wrt g?\nAnswer: -96*g*y + 330282000*g - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 58*y - 63*y + 2*d, 2 = 2*d. Solve s - 4 = 0, -2*s - s + y = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454323 (base 7) to base 5.\nAnswer: 10041034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 27951?\nAnswer: -64\/27951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2702825*v - 957543 with respect to v.\nAnswer: -2702825","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -2\/69*u**4 + 0 - 14*u - 4\/345*u**6 + 3\/115*u**5 + 1\/483*u**7 + 0*u**2 + 1\/69*u**3. Find q, given that l(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6798 and -1140 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, -3, -0.039552?\nAnswer: -0.039552","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43475 - -43475. Sort -1, 1, t, 2.\nAnswer: -1, t, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (1 - 0 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/50 - -209\/450. What is the nearest to -77 in -1\/10, l, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27519071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(152) + sqrt(152)))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59047728?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Let d(x) = x**2 - 2*x - 19. Let o be d(6). Suppose -21 = o*h - 8*h. Calculate the greatest common factor of m and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4016333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 16*g + 17. Let k be i(15). Solve 0 = -k*r + m - 2, 2*m + 3 = -2*r - r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4900)*2)\/((-1*sqrt(567) - sqrt(567))*3) + -1.\nAnswer: -20*sqrt(7)\/27 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**6\/360 - y**3\/2 - 3*y. Let m(n) be the second derivative of o(n). Let g(l) = -2*l**2. What is m(g(h))?\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i**2 - 3*i - 2. Let j be k(-2). Let f = -18 - j. Find the second derivative of q**2 + 11*q - 13*q + 3*q**2 + 2*q**f wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 340, 2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/9))**(-36))**(-2\/103)\/(s**(-2\/21)*s\/((s*s**(4\/7)\/s*s)\/s)*s*s**2*s**(-6)) assuming s is positive.\nAnswer: s**(992\/309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11291+-25949\nAnswer: -14658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1118225 and 3.\nAnswer: 3354675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 21 (c) 1.4 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 5:46 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - (sqrt(77) + sqrt(77)*-1*2 - sqrt(77))) + sqrt(77))\/((sqrt(121) + -2*sqrt(121))\/sqrt(11)))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27228 is divided by 2263?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1577*q + 2662. Give d(2).\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.2 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1583730298.0111 - 1583551720. Let k = 178480 - u. Let d = k + 98. What is d rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -19*s**3\/6 + 21*s**2\/2 - 17*s. Differentiate g(b) with respect to b.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 686304 - 686246.00195. Let p = m - 58. Round p to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + z - 119*z**2 - 3*z**2 - 5 + 2*z**2 in the form x + k*z + j*z**2 and give j.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*k + 20, -2*l + 70 = -5*k + 10*k. Suppose 4*m - 90 + 0 = -2*v, -75 = -4*m + v. What is the greatest common divisor of m and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3 - 5 + 0*c + 3*c + 0. What is g(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360763924 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157697598?\nAnswer: 2, 578848799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*s**4 + (-9 + 8 - 5)*(3*s**4 - 4*s**4 + 2*s**4).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)*c*c)**(-44)\/((c**(2\/7)*c*c)\/(c*c\/c**(1\/4))) assuming c is positive.\nAnswer: c**(-9931\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4, -4871?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8815\/4632 - 32\/579. Find the common denominator of -59\/9 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/5 + 11238*a**2\/5 + 11241*a\/5.\nAnswer: -3*a*(a - 3747)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20, 61, 124, 203, 292, 385, 476, 559?\n\"Answer: -n**3 + 17*n**2 - 3*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 364\/((-35)\/5)*7\/(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3855 is divided by 161?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.86.\nAnswer: 0.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-448))\/((-75)\/(-80)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226952304 divided by 2?\nAnswer: -113476152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7768*s - 4638*s - 81090 + 31466 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -82*s + 7. Let t(q) = -83*q + 8. What is -7*o(j) + 6*t(j)?\nAnswer: 76*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01059013834 to 4 dps.\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2690*f - 19. Let a(h) = -153*h. Give p(a(x)).\nAnswer: -411570*x - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 45*d - 21*d + 2 - 22*d. Suppose 12*h + 6 = 9*h. Let v be c(h). Let w(k) = -k**3 + 3*k**2 + 1. Calculate w(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2447213?\nAnswer: 97, 25229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -220, -344, -462, -574, -680, -780?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f - 252 = 0. Let w be 1\/(f\/(-15) + -4). Suppose w*p = 489 + 566. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236628 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -84, -60, -20, 36, 108, 196?\n\"Answer: 8*a**2 - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2. Let c(m) = -m - 2. Let g(f) = -1. Let z(h) = -c(h) + 2*g(h). What is z(y(b))?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*t + 11, 28*i - 25*i - 2*t = 9. Which is the nearest to 1? (a) 0.5 (b) i (c) 7\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, e: 1, f: 2, x: 1, o: 2, g: 1}. Give prob of sequence ode.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 444300?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsqs when four letters picked without replacement from llsscqqsqsq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -33, -63, -103, -153, -213?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2780 and 0.6?\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 7. Suppose -5 = 5*y + 4*h + h, -19 = 5*y - 2*h. Let c(w) = -3 - 2 + w**2 + 2. Calculate y*b(p) + 7*c(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 214, 230, 268, 340, 458, 634?\n\"Answer: 2*r**3 - r**2 + 5*r + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 241 - 240.9727. Round m to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {d: 3, y: 3, m: 8, x: 3}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*s + s - 47, 0 = 4*s + 5*o + 153. Let k = s - -73. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 5*n**6\/2 + 15*n**2\/2 + 20. Find the second derivative of w(l) wrt l.\nAnswer: 300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 22 = -2. Let j be (-23)\/2*y\/(-4). Let a(n) = 3*n**3 - 1. Let s be a(2). Calculate the highest common factor of j and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 n, and 1 x when three letters picked without replacement from {r: 1, x: 2, j: 1, i: 1, c: 1, n: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - h = -156, 2*k + 3*h = -h - 156. Let c = -50 - k. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.9, -2, -0.1, -3\/8, -3318 in ascending order.\nAnswer: -3318, -2, -3\/8, -0.1, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144 - -148. Let h(i) be the second derivative of 0*i**3 - 5\/12*i**4 + i**2 + d*i + 0. Find the first derivative of h(v) wrt v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v**2 + 4. Let y(n) = -n**2 - 1. Calculate -w(k) - 3*y(k).\nAnswer: -7*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 878037.25 to the nearest ten thousand.\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 55*l - 31. Let o(r) = -43*r + 31. Determine -6*o(c) - 5*z(c).\nAnswer: -17*c - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*b + 4*a - 16, 4*b + 3*a = 0. Let n(p) = 15 + p**b - 7 + 10*p**2 - p**2 - 4*p. Does 11 divide n(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 957.96 and -0.2?\nAnswer: -191.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 0*r**2 + 2*r**2 + (-3 + 4 - 3)*(-r + r + 22*r**2) + 10*r**2 - 4 + 5 + 1.\nAnswer: -33*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*p**6 + 5813568*p**3 - 87789121*p**2?\nAnswer: 1080*p**3 + 34881408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8647121?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 - 3699 - 753 = -21*o. Calculate the greatest common divisor of 14892 and o.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 382, 783, 1170, 1537, 1878, 2187, 2458, 2685?\n\"Answer: -c**3 - c**2 + 411*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 1. Let l(d) = 17*d**3 - d**2. Calculate the remainder when l(1) is divided by q(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -143.49413 to the nearest integer.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3\/5 + 36*q**2\/5 + 66*q\/5 + 32\/5 = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g + 11. Let c be w(-6). Let o(q) = 216*q**2 - 1 - 214*q**2 - 2 - 7*q. Let d(h) = 5*h**2 - 15*h - 7. Give c*o(u) + 3*d(u).\nAnswer: u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 172500, 6, -5.\nAnswer: -5, 6, 172500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2516*a**2 - 356*a**2 - 270*a**2 - 176*a**2 as k*a + g*a**2 + m and give g.\nAnswer: -3318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = -9. Suppose d*q - 966 = -2*q. What are the prime factors of q?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*f - 111*f = -2290 - 2623 + 1508 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 17635.\nAnswer: -4\/17635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(209)*-1*-1)\/(-6*sqrt(44)\/sqrt(4) + 2*sqrt(11)*-4).\nAnswer: 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - g - 1, -5*x + 193 = -2*g + 197 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 3. Let h be v(-3). Suppose -20 = 5*o - 4*z, 0 = -4*o - h*o + z - 5. Solve 4*x + 3*c + 18 = 0, o = -5*x - 5*c - 25 - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -2\/7, 199, 0.5, 2, -40340?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 636 and 45156?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vetessvtefve. What is prob of picking 2 s and 1 f?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4353*d - 178. Is h(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 299165 by 608.\nAnswer: 299165\/608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 670699?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-95)\/20 - -1)*(-20)\/(-50)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 618 = 438. Suppose -8*c = -64 - 160. Calculate the smallest common multiple of i and c.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiis when four letters picked without replacement from {e: 8, g: 1, i: 9, s: 1}.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*k - 595*k - 154 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*h = 73176, -2*a + 61*h + 36584 = 60*h. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4*2) - 3\/(-6). Factor 0*t**4 + 0*t - p*t**5 + 0*t**2 + 1\/4*t**3 + 0.\nAnswer: -t**3*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -10*w - 6. Let j be r(-1). Suppose -j*b = 137 + 43. Let f be -1 + -1 + -1 - b. What is the highest common divisor of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 89*t**5\/60 - t**4\/24 + t**3\/6 - 2*t**2. Is b(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8 = -62. Let j be 14 - (-5)\/(-10)*n. What is the biggest value in -5, 6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6*2\/(-24))\/((740\/(-400))\/37).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.2 + -15. Let n = 976 - 690. Let d be (-80)\/(-26) - 22\/n. Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1561622, 1561616, 1561610, 1561604?\nAnswer: 1561598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 54*u + 245. Let k be (-1)\/(-30)*618 - (-6)\/(-10). What are the prime factors of i(k)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 46*k + 49*k = 0, 4 = -3*q - 5*k. Suppose -2*t - 2*p = -386, -q*p + 333 = 5*t - 623. What is the remainder when t is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.27, 3\/2, -496, -1.003?\nAnswer: -1.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Let h = -9.8 + -273.2. Let v = -283.05 - h. Is z greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 18, y: 2}. Give prob of sequence jy.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = -7*l + 486. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 698\/5 + -139. Let s be ((-1)\/((-2)\/4))\/8. Which is the second biggest value? (a) s (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 - -2?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*v + 63*v - 70. Solve 2*u - 11 = q, -10*q = -2*u - 8*q + v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -4468004, 2\/7?\nAnswer: -4468004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**2 - 6 - 20*w**2 + w + 16*w**2. Let i be s(2). Suppose -5*t + 3*o + 24 = -2*t, 5*t + i*o = 31. Calculate the greatest common factor of t and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 1. Let t(r) be the first derivative of r**4\/4 + 10*r - 1. Let n(h) = 6*f(h) - t(h). Find the first derivative of n(k) wrt k.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19615140 divided by -1961514\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + a + 1, 2*o = -3*o - 4*a + 35 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1682*a - 693*a + 2116*a - 995*a.\nAnswer: -1254*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9 = 0, 6*q = 8*q + 3*m - 119. What is the third derivative of -63*h**5 - q*h**5 + 103*h**6 + 2*h**2 - 4 + 118*h**5 wrt h?\nAnswer: 12360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-nine fifths of a millisecond?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*u + 10. Let a = 5 - u. What is the units digit of (4 - a)*88\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 151, 163, -37, 5 in ascending order.\nAnswer: -37, 4, 5, 151, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jggjgjjljigiijjjgg. Give prob of sequence lgi.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 11311*g - 11281. Determine v(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 2*n + 10. Let a be f(-7). Let x = 90 - a. Suppose 0 = z + x - 25. Let v(g) = 17*g + 6. Let s(c) = 6*c + 2. Give z*s(w) - 3*v(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 926780\/23840 + (-2)\/(-16).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 - 14501?\nAnswer: -14552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7368432 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, l: 5, q: 3, j: 3, i: 3}. What is prob of sequence ejj?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 39*u - 424. Let o(y) = -14*y**3 - 8*y - 5. Let j(q) = -3*q**3 + q - 4*q - 2*q**3 - 2. What is u*j(x) - 3*o(x)?\nAnswer: 2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + -20 + 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4\/4 - 47*i**3\/4 + 75*i**2\/2 - i - 50 = 0.\nAnswer: -50, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - -35.545?\nAnswer: 73.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012159996 to four decimal places.\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrfdorbdrddrrred. What is prob of picking 1 d, 1 e, and 1 r?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3 (b) 0 (c) -10.77 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3\/10 + 529*u**2\/10 + 16907*u\/5 - 494648\/5 = 0. Calculate u.\nAnswer: -77, 22, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1250*o = 417*o + 633*o - 11000 for o.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -36*w + 176. Calculate z(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70686 and 42772.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(19\/(-6)). Which is the third smallest value? (a) k (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*c + 106*c - 3706353. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/42*((-117)\/(-52)*-89)\/(9\/(-12)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 61. Suppose -507 = -4*p - 5*v, -2*v + 338 + 184 = z*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 15) to base 8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 3*w**2 - 2*w**2 + 24671*w - 1710*w.\nAnswer: 4*w**2 + 22961*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-10))**(-2\/19))**(8\/9) assuming a is positive.\nAnswer: a**(160\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17298*w**4 + 144508236*w**3 + 301810112426*w**2 + 12980879608*w + 139578632 = 0.\nAnswer: -4177, -2\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 730817 - 730817 + 10974*s**4 + (0 - s + 0)*(4 - 4 + 4*s**3) in the form t*s + z*s**3 + q + b*s**4 + v*s**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (2 - 5 - -18) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - (-1 + (-171)\/(-18)). Sort 0.2, n, -2\/7.\nAnswer: n, -2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*u + 95, -3*u + 5*y - 6 = -63. Is 1 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-22) + 598\/22. Let x be ((-90)\/z)\/(1\/(-9)). Find the common denominator of 23\/10 and ((-231)\/x)\/(4\/(-5)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = -21*o + 5*o + 224 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c + 9. What is the tens digit of n(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l**4 + 9*l**4 + 12*l**4 + 17*l**4)*(-1 - 15*l + 1 + 17).\nAnswer: -435*l**5 + 493*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6051.22 kilometers?\nAnswer: 6051220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 9:59 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**1)**(12\/11)*(r**1)**(-35)*r*r**(-2\/23)*r*r**(-1\/7)*r*r**(-3\/2)\/r*r*r**(-3)\/r assuming r is positive.\nAnswer: r**(-12149\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1048 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24511, -48909, -73281, -97627, -121947, -146241?\nAnswer: -170509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6395.84 to the nearest 10.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.38 - -5.38. What is the closest to l in 142, 1\/7, 5, -0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w - w**3 + 10*w**2 - 2 + 3*w - 4*w. What is the remainder when x(8) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/35)\/(12378\/10315)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.47 and 0.4.\nAnswer: 4.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6. Let o(p) = 1. Let u(i) = -j(i) + 5*o(i). Let b(h) = h**2 + h + 4. Determine -2*b(t) - 7*u(t).\nAnswer: -2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 - 4 = 0. Suppose 5*k + 22*x - 24*x - 8 = 0, 4*k = -h*x + 13. Solve 2*l - 4 = k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**5\/5 + 64*k**4\/5 + 243*k**3\/5 - 1078*k**2\/5 + 96*k + 288\/5 = 0?\nAnswer: -12, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 300122 (base 4) in base 14?\nAnswer: 11b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1650206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12*((-14)\/(-6) + 27\/(-9)). Let f be z\/6 - 16\/12. Let t be 4 + 105\/(-27) - f. Which is the third biggest value? (a) 5 (b) t (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2. Let y(h) = 5*h**2 + 31. What is y(v(z))?\nAnswer: 5*z**4 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**2 + 2*p**2 + 5*p**2 + 0*p**2 + 2*p**2 - 6*p**2 + (2 - 3 + 0)*(0*p**2 - 5*p**2 + 4*p**2).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26118*-2.\nAnswer: -0.52236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 805663193 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -76, -172, -340, -598, -964?\n\"Answer: -3*q**3 - 18*q**2 - 21*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 1. Suppose x + 28 = 2*x. Let q be x\/24 + (-4)\/24. Let l(g) = 0 - q + 0 + 0. Calculate -3*l(i) + z(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 14*m + 33. Let c be d(11). Let q(n) = 0*n**3 + 7 + 7 + n**2 + n**3. Is q(c) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 - -146. Suppose -5*o = 4 - w. Suppose o*n - 8 = j, 0*j - 3*j - 12 = -3*n. Solve j = 2*g - 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: af (base 16) to base 3\nAnswer: 20111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301001.\nAnswer: 23, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + o - 135 = -3*o, 4*c - 108 = 2*o. Suppose 3*d - 30 - c = 0. What is the tens digit of (-9)\/(-6)*2 + d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -784480 divided by -6?\nAnswer: 392240\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 401526342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1505933 - 17?\nAnswer: -1505950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 + -167. What is the remainder when (-2)\/(0 - (-2)\/(-48)) is divided by (-4)\/2 + h\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -64 - (14 - 6) - (-9 + 9 - 2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3846100 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u - 73. Let y be j(-25). Suppose 63*l - 6 = 66*l. Which is the third biggest value? (a) y (b) l (c) 0.3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doxwwdynyyynoo. Give prob of picking 1 o and 1 y.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4693*t**2 + 0*t - 750*t**2 - 456*t**2 - 2080*t**2 + 0*t.\nAnswer: -7979*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 - 39*v**2 + 10*v + 26. What is s(19)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 1081*h - 9715. Determine y(9).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2\/8 - 3697627*u\/8 + 3697625\/4 = 0.\nAnswer: 2, 3697625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 0*t + 3 - t**3 + 3*t**2 + 0*t. Let f be c(3). Solve -4*j + 22 = -2*i, -j = f*i - 7*i - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -19. Which is smaller: 5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*(-2 + (0 + sqrt(32))**2).\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 886032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1418, -2840, -4264, -5690, -7118, -8548?\nAnswer: -9980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -324*z**3 + 11*z**2 - 48*z - 400. Is i(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2)*(-3)\/45\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 32*m - 73. Give d(29).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 b when four letters picked without replacement from {p: 3, a: 7, b: 8}?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -6, 212, 2 in descending order.\nAnswer: 212, 5, 2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2.7, -8, 2, 0.28, 4, 5 in ascending order.\nAnswer: -8, -2.7, 0.2, 0.28, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -1\/3*l**4 - l + 0 - 32*l**2 + 16\/3*l**3. Let x(w) = 0. Calculate w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14256968 >= -14256974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505148*z + 504098*z - 19950 = 0 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1646.1 + 1981. Round p to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1, 87, 0 in decreasing order.\nAnswer: 87, 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -308738 divided by 2?\nAnswer: -154369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/4*(-624)\/4056.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 + -1132\/9. Which is the nearest to 0? (a) 6 (b) p (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103353542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 634 + -633.8. What is the third smallest value in -4, m, 770?\nAnswer: 770","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g - 2*g**2 + g + 2*g**2 - 2*g**2 + 2*g**2 + (-2 - 1 + 1)*(4*g**2 - g**2 - 5*g**2).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 5 (c) 514.832 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.32676 and 3?\nAnswer: -3.98028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2136*f**2 + 13*f + 12. Let x be h(-1). Suppose -x - 25 = -16*v. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 11*l + 86. Let m be (-2 + l)*11\/33. Is m equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/2 + 341 + -2. Let g be 10\/(-40) + a\/8. What is the highest common factor of g and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1486289, 2972589, 4458889, 5945189, 7431489, 8917789?\nAnswer: 10404089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 70. What is the third derivative of h + 8*m**4 + 9 - 25 + 18*m**2 wrt m?\nAnswer: 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-24)\/(-8) + (-99)\/4 and -34\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 - -2.33495.\nAnswer: 129.33495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -126812.94 and -13.\nAnswer: 1648568.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 7. Suppose -4 = -q + g*q. Which is bigger: q or 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsfsspsysf. Give prob of picking 1 s and 1 p.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.171 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47558585 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -18287.6734 rounded to the nearest 10?\nAnswer: -18290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -512 + 515. What is the third derivative of -b*v**4 + 4*v**4 + 1 - v**6 + 10*v**4 - 42*v**2 - 1 wrt v?\nAnswer: -120*v**3 + 264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19929.5 - 19930. Is o <= -0.67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2)*(6 - 11 - -5). Suppose 4*a = -4*d + 566 + 1678, 3*a - 2*d - 1708 = v. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 255, 666, 1335, 2316?\nAnswer: 3663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198 by -99.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -397625\/4 or -99405?\nAnswer: -99405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*a - 51. Solve -2*z = -0*z + a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1169791 divided by 7.\nAnswer: 167113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -11. Suppose d*l + 0 - 10 = 0. Suppose 14 = l*u - 18. What is the greatest common factor of 32 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = -2*m + 4*m, 3*m - 12 = k. Suppose m*c = 4, 2*c + 2*c - 56 = -i. Suppose 187 + 294 = 37*q. What is the highest common divisor of i and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820*h - 324*h + 200*h + 329*h.\nAnswer: -615*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-6)\/30)\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.724 - 0.7779. Let a = c - -4.1239. Let t = 0.07 - a. Put t, -2\/7, -2 in decreasing order.\nAnswer: -2\/7, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 73 = -31. Suppose 16 = -2*r - 5*j, -d + 10 = 4*j. Solve 0 = r*i + 3*v - 18, 2*i - v - v = -2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - j - 544 = 0, -a - 3*j + 176 = -2*j. What is the highest common divisor of a and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630\/7697 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1172*z**2 + 7*z + 4 wrt z.\nAnswer: 2344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 5*r + 34 = 0, 0*t - 5*r = -t + 28 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/4*1168\/1752?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108571, 108561, 108539, 108499, 108435, 108341, 108211?\nAnswer: 108039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06683 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*2\/4 + -2. Let s(y) = y**2 - y - 1. Calculate s(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 25*o.\nAnswer: 5*o*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8893 + 8891. What is the closest to -0.1 in 3\/5, x, 4, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*c - 22*c = -112*c + 1442 + 11435 for c.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2397956.\nAnswer: 2, 11, 54499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -422, -927, -1424, -1907, -2370?\nAnswer: -2807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(3) - 3*sqrt(3)))**2 + 0.\nAnswer: -4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 263760 to the power of 1\/2, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000101001011000011 (base 2) in base 8?\nAnswer: -3051303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f, -5 = 3*v + 2*f - 18. Suppose p - v*d + d = 2, -2*p - 5*d = -13. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(162)*2)\/sqrt(6) + (sqrt(27) - (-5 + sqrt(27) + 0) - sqrt(27) - sqrt(27))))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 n when four letters picked without replacement from unnuuuuununun.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 15. Suppose -x = 5*g - 25. Let n be g\/(-14)*(-1 + 2). Which is the closest to -0.2? (a) -2 (b) n (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 10*c - 4. Suppose -3*p + 145 = c*p. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = -q. Suppose g - 32 = -2*w, 2*g + q*w = -3*g + 120. What is the smallest common multiple of g and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1053) - (sqrt(1053)*1 - sqrt(1053)) - sqrt(1053)) + 1)**2*6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30240700 rounded to the nearest one hundred thousand?\nAnswer: -30200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313649.\nAnswer: 7, 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18081897?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**3 + a**2. Suppose 3*y = -26 + 101. Let f = 26 - y. What is g(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 5*b**2 - 59*b - 2*b**2.\nAnswer: 3*b**2 - 59*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**2\/2 - 464. Let q(c) = 524*c**2. Calculate q(u(g)).\nAnswer: 524*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1426897228 + 174\nAnswer: 1426897402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-16)\/(-12)*(-333)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 92 = -4*n. Calculate the greatest common divisor of n and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731086?\nAnswer: 2, 43, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 18478.9 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 209635.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 9943 = 3*f, 7*f - t + 6617 = 9*f. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (164\/(-14))\/((5022\/189)\/93)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**2\/15 - 53066*v = 0.\nAnswer: -397995, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 772*r - 24258. Determine i(31).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018.\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 8:35 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2701 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -493883 - -493886. Factor 3\/4*d**u - 135\/4*d - 63\/4*d**2 - 69\/4.\nAnswer: 3*(d - 23)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 2:05 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2 - 142714056*j = 0. Calculate j.\nAnswer: 0, 35678514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - y + 11, -5*y = 38*q - 37*q - 28. Suppose -w - 15 = -q*w + p, 10 = -w + 4*p. Solve 13*r - w*r + 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + 4*(0 + sqrt(396) + -1 + sqrt(396) + (sqrt(396) - -4*2*sqrt(396)))**2.\nAnswer: -528*sqrt(11) + 191671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 2 (c) 5 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 31.62089 days?\nAnswer: 4.51727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022124875 to four decimal places.\nAnswer: -0.0221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 162 + 989 + 544 - 2*f - 333. Let h(y) = y**2. Determine t(h(x)).\nAnswer: -2*x**2 + 1362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -764 - -767. Suppose -y*o + 31 = 11*j - 16*j, 4*o = j + 13. Solve -2 - 6 = o*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4042*d + 2958*d + 6 + 2175*d in the form f + y*d and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 3*r + 12. Let s(l) = l**2 + 12*l - 62. Let q be s(4). Let u(c) = 335*c**2 - 671*c**q + 341*c**2 + 6*c + c**3. What is u(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/(-3) - (-10)\/30. Suppose -2*j = 2*t - d - 32, 3*t = 5*j - 111. Let q = 23 - j. Solve q*p = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x + 56. Let w = 11 - x. Let l = 31 + w. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 620030*o + 60. Let m be w(-2). Round m to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-40)\/(440\/28743)*16\/(-6)?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 4*m - 3. Let h be v(3). Suppose 12 = -h*n + 3*n. Solve -50*s**4 - 34*s**n + 4*s**4 - 40*s**2 + 5*s + 27*s**3 + 73*s**3 = 0.\nAnswer: 0, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*n + 188*n**4 - 191*n**2 + 117*n + 121*n - 356*n wrt n?\nAnswer: 4512*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*c - 1. Suppose -c*n + 0*n = -2. Suppose 0*k = -2*k - 3*h + 11, 0 = -h - n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p**4 + 37 - 37 + (p**3 - 2*p**3 - p**3)*(4 + p - 4) as k + s*p + r*p**3 + d*p**2 + v*p**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -762845 divided by 152569.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 10 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-1)\/(-1 - 0). Suppose 4*s = -0*f + 4*f - 48, -m*s - 14 = -f. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.149 + -0.149. Which is the nearest to k? (a) -2 (b) -4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + 73. Let k = p - 107. Let c(y) = y + 12. What is c(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0\/(-2) - 25\/20)*-316?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/12*(-2024)\/(-32). Let s = 65\/3 + l. What is the common denominator of s and -23\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/97, 1\/9, 0.3, 3.039?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31589*b + 21982 wrt b.\nAnswer: -31589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708817068.\nAnswer: 2, 3, 2187707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-22)\/(-33)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000247943 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1169456825 divided by 5?\nAnswer: -233891365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -12108932*d**2. Let c(g) = g. What is c(z(f))?\nAnswer: -12108932*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*(k**(-1\/4)*k)\/k*k))\/k)**(-2\/101))**(-4\/9) assuming k is positive.\nAnswer: k**(-14\/909)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73073\/20 + 3650. Let n = -6969\/9970 + -1\/997. Calculate the common denominator of n and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: a3c15d (base 15) to base 9\nAnswer: 15576877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0719878 and 2.3.\nAnswer: 0.16557194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 12:44 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (6\/18*6 - (-259)\/(-2220)*15).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/5 and 12\/(-40)*(55\/(-15) + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xggilwjijggjiji. What is prob of sequence xwl?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1495\/146 < -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5 minus -426694?\nAnswer: 426685.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from {d: 4, e: 14}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(-14) + (-78)\/(-12) and 67\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.402146 and -4.\nAnswer: 1.608584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 4*o - 2*o + 26 + 7*o - 26 + (2 - 7 + 3)*(3 - 3 + 2*o) + 141 - 141 + 14*o)*(2 + 5*o**2 - 2).\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-80)\/(-30) + -3 - 32\/3. Let t be 4\/(-6)*9\/(-39). What is the nearest to -2\/3 in 5, t, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 11*o - 12. Let l be w(10). Let r(d) = -3*d**3 + 2*d + 1. Let h be r(l). Let n = -16.1 + 16.1. Is h at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 11*g**2 - 2*g + 13*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -2\/3*t**3 - 2 + 0*t + 0*t**2 - 1\/5*t**5 - 3\/4*t**4. Factor s(m).\nAnswer: -m**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40845 is divided by 5104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 17, 7, -2, -86?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) 3940 (b) -1\/12 (c) 3\/10 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 1, f: 6, w: 7}. What is prob of sequence wf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 17\/((-14960)\/(-198))*54\/(-81)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 8*f - 4. Let h be z(7). Let x = 18 + h. Let d be 1 + (x\/15 - 2). What is the third biggest value in d, -4\/3, -0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 17. Let o(c) = -c**2. Calculate o(k(g)).\nAnswer: -g**4 - 34*g**2 - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, 6, -39 in descending order.\nAnswer: 97, 6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2640 - -2641. Let z = -0.6 + 1. Suppose -3*m = -0*m + 3. What is the nearest to u in z, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 320 - 320 = 0. Solve 8 = -2*p, x - 1 = -j*x + p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*m = 101*m - 48, -52 = 4*z + 4*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 22168?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 3. Let m be g(3). Suppose 4*f + 6*z = 5*z + 11, -2*f - 4*z + 2 = m. Suppose 0 = -3*t - f*y + 123, -y - 235 = -5*t - 60. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 16 + 13 - 29 + 4981*f - 4981*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266071634?\nAnswer: 2, 1117, 119101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 982, 3861, 8652, 15349, 23946?\n\"Answer: -h**3 + 962*h**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1474550 = -37*g - 1476955 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/158*(-21)\/(-6). Is t less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + g**2 + g**2 + (1 - 156*g - 3 + 531*g)*(5*g + 1 - 1).\nAnswer: 1874*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 123*g - 153. What are the prime factors of j(32)?\nAnswer: 3, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53*q**2 - 43*q**2 + 93*q**2)*(4 - 1 - 2) - 166426*q + 166426*q + 589*q**2 to i*q**2 + v + w*q and give i.\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(196) - sqrt(4)) - (sqrt(99) + 3 + sqrt(99))**2 - (sqrt(11)*-1*-5 - (-3 + sqrt(11))*4).\nAnswer: -417 - 221*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Round 107533085.98 to the nearest one hundred thousand.\nAnswer: 107500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6253*d**4 + 2650*d + 65. Let m(n) = -31266*n**4 - 13248*n - 357. Let x(q) = -2*m(q) - 11*w(q). What is the second derivative of x(r) wrt r?\nAnswer: -75012*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -3\/7, 1\/2, 9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11020102 (base 3) in base 15?\nAnswer: -dae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/16 + -153\/80. Which is the third smallest value? (a) 5 (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.494 and -50.\nAnswer: 74.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-145)\/87*36\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from {u: 1, f: 3, e: 11}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2975 = -9*f. What is the remainder when (-2)\/3 - f\/15 is divided by (-28)\/(-1)*(-3)\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 + (-374)\/33. Let a be (6\/p)\/(1\/(-82)). Let b = a - 20. Calculate the remainder when b is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 1199 - 75. Suppose -289*r + 8896 = -d*r. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 52\/3. Let c be (-3 - 2)*(-8)\/20. Which is greater: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1.08. Let t = n - 2.92. Let f = 2.4 + 0.6. Which is the nearest to 1? (a) f (b) 2\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1 - 2 - n**3 + 2 - 4*n**2 - 2*n - 2*n. What is c(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 19763769 - 14*w + 18*w - 4*w + 19763769 + 0*w.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 5:16 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1747 in descending order.\nAnswer: 1747, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5412.6 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 16 = -3*c - 4*o, -2*c - 24 = 5*o for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 1504?\nAnswer: 16544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6555781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (5 - 2) - -154. Suppose -9*y = -7*y - x. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.4, 2, -14737, -15 in descending order.\nAnswer: 2, -0.4, -0.5, -15, -14737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -31.5?\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 42*i**2 - 1. Let p be 4\/(-16) + 15\/12. Let h be j(p). Suppose 2*x - 184 = -20. What is the highest common factor of h and x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -1 - (-3)\/1. Let s(u) = u**3 - 3*u + 5 - 3*u**2 + 2*u**2 - 2*u**2. Let x be s(l). Solve -4*c + x - 25 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1219\/(-583))\/((-6)\/(-66)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*j - 2353, -3*a + 3*j = -6*a + 7068. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 27 = -y. Let z = -3 + y. Suppose 0 = 4*m - 3*f - 48, -2*m + 0*m + 2*f = -z. Calculate the remainder when 34 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2825170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2619532 divided by -2\nAnswer: 1309766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 646?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -36575 >= 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9549.12 - 9770. What is o rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6229*g - 2*p = 6232*g + 22, -2*p = 5*g + 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1698322 - -21916.\nAnswer: -1676406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3162, -3163, -3164, -3165, -3166?\nAnswer: -3167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 1. Let o be i(0). Let p(k) = 2*k. Let f(m) = m. Let y(d) = 5*f(d) - 2*p(d). What is y(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*u - 585*u - 23920 + 736 = 0 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 483*w**3 + 122*w**3 - 2*w.\nAnswer: 605*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -457*j + 914. Calculate o(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 564 (base 8) to base 9.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3\/10 + 2*w**2\/5 - 3*w\/10 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110 + -10011?\nAnswer: -1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2113 = 5*f, 4*p - 4301 = 2*f - 7*f. Suppose 12*b - 815 = p. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3974 is divided by 514?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/((m*m\/(m\/(m*m\/(m*m**(-4)*m))))\/m*m))*m**(-2\/21))\/(m**(1\/3))**(-3\/8))**(3\/8) assuming m is positive.\nAnswer: m**(845\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -34. Suppose -2 = 2*v - 8. Let z(y) = -1 - v + 6*y - 3*y + 5. Let j(k) = -16*k - 6. Determine l*z(p) + 4*j(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/m*m*m**3*((m\/(((m*m\/(m*m\/m**(2\/25)))\/m)\/m))\/m)\/(m**5*m*m))**(-25) assuming m is positive.\nAnswer: m**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 80300.53 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1770 - 5308\/3. Which is the nearest to 2\/5? (a) 1 (b) 1\/4 (c) -1\/10 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1733 + 320 = -194*n + 1691 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13665 * 24\nAnswer: 327960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, v: 8, p: 1, u: 3, c: 2}. Give prob of sequence up.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -1\/3, 15, 3, 6, -1.2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.254? (a) 3 (b) -0.2 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1288)\/24)\/((-46)\/(-6) - 8). Suppose -i = -4*q + 221, 0*i + 5 = -i. Let w = 77 - q. Calculate the highest common divisor of v and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 48186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.64 and 0.4.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*(-2 + -2)*1\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18689, -37375, -56071, -74777, -93493?\nAnswer: -112219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -3*l**4\/20 + 176*l**3\/5 - 10108. Find x such that b(x) = 0.\nAnswer: 0, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -20. Is b\/(-18) + (-1177)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41, -72, -91, -92, -69, -16?\n\"Answer: j**3 - 38*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/12*6*(-5)\/(-75).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 - -101. Suppose i*b = -16 + 16. Is 2\/121 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/3, -626, -2\/5 in descending order.\nAnswer: 2\/3, 0.1, -2\/5, -626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (0 - -35) + -33\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -870, -868, -866, -864, -862, -860?\n\"Answer: 2*z - 872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 58. Determine h(15).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.286 take away -12429.099831?\nAnswer: 12428.813831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(440) + sqrt(440) - sqrt(440)) - sqrt(440) - (sqrt(440) - (sqrt(440) - -4*sqrt(440)*3)))\/(-4*sqrt(490)*1*6).\nAnswer: -13*sqrt(11)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19230997?\nAnswer: 53, 491, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*s + 10*s - 1843*s - 81915 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 + 4*x**2 - 128*x\/3 + 64.\nAnswer: 2*(x - 4)*(x - 2)*(x + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4736.2 + 4736. What is the second smallest value in r, -24, 9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2121 is divided by 118.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = 5. Let l(h) be the third derivative of 0*h + 1\/120*h**6 + 0*h**x - 2*h**2 + 1\/6*h**4 + 0 + 0*h**5. Find the second derivative of l(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -p - 96, -449*p = -452*p - 2*m - 318. Let j(v) = v**3 - v**2 + v + 1. Let u(c) = 48*c**3 - 54*c**2 + 54*c + 54. Give p*j(d) + 2*u(d).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/24)\/(8\/(-64)). Let t(b) = b**2 + b + 1. Let j(r) = -4*r**3 + 50*r**2 + 54*r + 10. Let c(u) = s*t(u) + j(u). Factor c(w).\nAnswer: -4*w*(w - 11)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/20721 and -59\/21222.\nAnswer: 146580354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 3230196*g - 187358096.\nAnswer: 2*(g - 58)*(g + 1615156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 441698e - 1?\nAnswer: 441698d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/57)\/d**(-1\/9) assuming d is positive.\nAnswer: d**(13\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 10:32 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5209 - 5209. Let h = 11 + -13. Put h, 5, y, 8 in ascending order.\nAnswer: h, y, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 3 + 19)*(4*c - 2*c**2 - 4*c).\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v + 4 = 0. Suppose 0 = v*h + 4*y - 16, 0 = -h - 0*h + 4*y - 6. Suppose -2*u = -2, -3*u + 9 + h = 2*r. Solve r*l + 8 = -8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g - 121*g - 182*g = -213*g + 1507 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1615, -5522, -12035, -21154, -32879, -47210, -64147?\n\"Answer: -1303*l**2 + 2*l - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:52 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 53, 41, -67, -343, -859, -1687, -2899?\n\"Answer: -12*v**3 + 24*v**2 + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 521*q = 522*q - 3889. Does 117 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1 - 2 = 0, -4*u = -4*a + 16. Suppose 4*k - 25 = -a. What is the highest common factor of 45 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -6. Suppose 9 = 2*j - f, 0*f + u*f = j - 17. What is the third derivative of g**2 + 14*g**3 + g**2 - 8*g**3 - 6*g**j wrt g?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + -4 + (32 - 21).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {f: 2, g: 4, a: 1, j: 1, i: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*u - 3*u. Let l(s) = -s - 3. Let w be l(u). Suppose 7 = -2*t - 2*b - 1, -2*b = -4*t - 10. What is the smallest value in w, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s + s**5 + 0*s**5 - 2*s**3 - 2*s.\nAnswer: s*(s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-2) + 315 + -13 + 16. Suppose -3*g = -2*n - 657, -8*g + 4*g + j = -n. Is -336 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1587, -11363, -27643, -50427, -79715, -115507?\nAnswer: -157803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 5*n - 0*q + 18, n - 3*q = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and -49.423.\nAnswer: -889.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 10:43 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 + -70. Let i = b - 31. Calculate the least common multiple of 2 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -23629*z - 212648. What is a(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3205436*a**2 - 12821732*a**2 + 3205428*a**2 + 3205436*a**2 + 3205430*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*v = -151*v - 495 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - -2. Suppose 0 = -2*o - 2*q + b, 2*q = o - 4*o + 18. What is the second derivative of -2*j - 3*j**2 - o*j**2 + 6*j**2 wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, a: 4, j: 2, g: 3, k: 4, x: 3}. What is prob of picking 1 k, 1 g, 1 b, and 1 x?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 7*u - 2*l + 123 = 0, 367 = 3*u + 4*l. What is the highest common factor of 418 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - -462 - (-15)\/(-12)*4?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.21, -1\/8, 3\/5, 0.4, 2.4.\nAnswer: -0.21, -1\/8, 0, 0.4, 3\/5, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 3*o**2 - o - 1. Let f(s) = 19*s - 110. Calculate the remainder when i(-6) is divided by f(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b = 29*b + 25, 21 = -4*p + 5*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -13*x**3\/6 + 28*x**2 - 1464*x. Let s(l) = l**2. What is s(i(t))?\nAnswer: 169*t**2 - 1456*t + 3136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1756082142?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 23*q**2 - 10*q - 3. Does 11 divide j(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 13. Let k be w\/2 - 22\/4. Let q be (16 - 19)*(-2)\/k. Let v(d) = -4*d. Calculate v(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2900.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 0 + 1\/240*s**5 - 3\/2*s**2 - 1\/12*s**3 - 1\/96*s**4 + 5*s. Let z(l) be the first derivative of n(l). Factor z(y).\nAnswer: (y - 2)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*t - 168*t + 9540 = -551*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-3)\/27*6). Let g be b + (1913 + -1)\/4. Calculate the highest common divisor of 25 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 12*s + 118. Let t be v(23). Suppose 5*k = 15, 4*y - t = -5*k + 7*k. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1573 = 6*x - 4453. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 55*m**3 + m**2 + 2*m - 14. Let y(f) = 55*f**3 + f**2 + 3*f - 14. Let u(l) = -3*k(l) + 2*y(l). What is the third derivative of u(p) wrt p?\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*t - 3*t + 6*t)*(2*t - 3*t - t) + t**2 - t**2 - t**2 to the form c*t**2 + q + r*t and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 28806421 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 228\/695 - -10\/139. What is the smallest value in -2\/3, -2\/19, 120, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 66 (b) 4.1 (c) 21\/11 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 2*w - 1. Suppose -2*t + 14 = -4*h + 38, -5*h = 4*t - 4. Give r(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 7. Suppose -4*z - 10 = 18. Let v be j(z). Solve 5*b = -w + 18, v*b + 15 = 2*b + 3*w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 479*w**2 + 2829*w - 247. What is j(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = 0, -20*a + 5*l = -19*a + 20. Solve a = 3*r - 9 + 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 + -0.26. Let u = h + 53. Let z = u + -52.7. What is the smallest value in z, 0.5, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + 810\/(-140)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Let z = 10 - 7. Is z not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*q - 2*q + q)*(-4*q**2 + 4*q**2 - 3*q**3)*(2 - 5 + 1) + q**4 + 3*q**4 + q**3 - 3*q**3 in the form h*q + g + c*q**3 + z*q**4 + v*q**2 and give z.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*j - 296 = 0, 5*j = -c + 7*j + 288. What is the remainder when c is divided by 98?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*w - 48*w - 40*w + 16*w + (-4 - 3 + 14)*(0 - w + 0).\nAnswer: -148*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((11 - 6) + -13 - -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*u - 8, -2*u + 414 = 3*a + 385 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 9021540?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 19 + 43. Solve -3*p + 116*p**2 - 117*p**2 - o + 6 = 0 for p.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7545, -7580, -7615, -7650, -7685?\n\"Answer: -35*j - 7510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85850 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42962*y - 43081*y = -357 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -38. Let j = g + -8. Let h = 34 - 33. Put j, h, 0 in increasing order.\nAnswer: 0, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5354 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37858 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -1104430430?\nAnswer: 1104430423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 k, and 1 n when three letters picked without replacement from {f: 1, q: 2, h: 2, k: 5, n: 1, a: 2}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**4 - 3*w**4 + 123*w**5 - w**4 + (0*w + w + w)*(0*w**4 + 0*w**4 - 2*w**4) - 3*w**2 + 3*w**2 + 3*w**5 - 2*w**5 - 3*w**5 + 4*w**5.\nAnswer: 121*w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 476629.516 to the nearest 1000.\nAnswer: 477000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(350\/(-75)))\/(2\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 4*p + 4. Suppose 4*c = -3*g + 28, -5*g + 1 - 31 = -c. Give l(c).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133 - -39. Let j = k + 167. Factor -14*f**2 - 13*f - 10*f**2 - 4*f**4 + j*f**3 - 2 - 90*f**3.\nAnswer: -(f + 1)**2*(f + 2)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h**2 + 10*h**2 - 6*h**4)*(1 + 4066*h + 19 - 26 + 6).\nAnswer: -24396*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -12, 3, -4, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*s - 40374 - s**2 + 40374.\nAnswer: -s**2 - 66*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 16*f**2 - 5*f + 12. What are the prime factors of n(3)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-5 - -4) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 11*a - 16049. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (252\/(-49))\/(2\/(-3)*39\/(-182))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8618650 is divided by 1186.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 9:37 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 301400 and 700.\nAnswer: 2109800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 1. Let n(s) = 3. Let i(y) = 3*g(y) - n(y). Let k(x) be the second derivative of -x**3\/3 + 5*x**2\/2 - 25*x. What is 3*i(w) + 4*k(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92725947 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/5292 and -2\/27657?\nAnswer: 2323188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39722115 - h**2 - 39722115.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.59 - 1.28. Let a = 3031062 - 3031061.3099922. Let t = a + d. Round t to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -739 - 4.\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 567 = 65. Let s be (z\/64 - -10) + 14\/16. Solve -r + 5*i + 15 = 0, -2*i + s = 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 4*d**2 + 7*d - 8. Let g be 8 - 1 - (-2 - 4)\/(-6). Suppose -7*k + g = -15. Let q be n(k). Solve 2*r - 2 = 0, 3*x = 6*x + q*r - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*5*366\/(-2196) - (-5)\/((-5)\/(-12))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/45863 and -26\/11?\nAnswer: 504493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.19 - -0.085. Let s = 6.705 + -1.6. Let n = s + q. Which is the biggest value? (a) n (b) -2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-9 - -14) - 12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*r**3 - r**2 + 2*r**2 + 70*r**3 - 5*r + 2*r**4 to the form h + g*r**3 + x*r + t*r**4 + u*r**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.097 - 25.217. Round a to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5497761 to the nearest integer?\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111\/18 + 45\/54.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3006 divided by -15.\nAnswer: -1002\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41075.26cm?\nAnswer: 410752.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (675\/(-1050) - 1\/(-6)) + 1\/7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176 + 526\/3. What is the closest to -0.1 in 2\/3, q, -13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = 18*m - 22*m + y, -4*y - 50 = -m. Is m less than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13068 and 4212?\nAnswer: 509652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3950824*c**2*u - 22*c - 20854*u wrt c.\nAnswer: 7901648*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*l + 28 = 0, -20 = -2*t - t + 2*l. Suppose 2*a = 4*a - t. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c**2 + 6*c - 31. Calculate x(3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4*t + 26963*f**4 - 1483*f**3*t**3 - 2*f**2*t**2 - 287621*f*t**3 + f*t + 3*f - 19*t**2 wrt f.\nAnswer: -48*f*t + 647112*f - 8898*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -13. Let y(u) = 6*u**3 - 2*u - 5*u**2 + 5 - w*u**3 - 7*u**3 + 13*u**3. Give y(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 13*c**2 + 11*c - 4. Let l(n) = 7*n**2 + 6*n - 2. Let v(y) = -5*l(y) + 3*m(y). Let q = -37 + 39. Let p be v(q). Solve -3*u = -8*u + p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212592 at least 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)*-1)\/sqrt(6) - 6*(sqrt(2)*2 - sqrt(2))) + -2 - ((sqrt(96) - (sqrt(96) - sqrt(96)*-2))\/sqrt(12))\/(sqrt(48)\/(1*sqrt(12))).\nAnswer: -5*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**3\/6 + 6*j**2 - 3*j. What is the remainder when n(7) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1754.7 + 1755. Put -6, 3, -1, i in descending order.\nAnswer: 3, i, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 - 32*d - 60 = 0. What is d?\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**5 + 52*b**4 - 248*b**3 + 392*b**2 - 268*b + 68 = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*x + 626931 + 1120841 = 18*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 + 5*m - 5. Let c(a) = -27*a - 7 - 25*a - a**2 - 7*a**2 + 59*a. Let w(t) = -5*c(t) + 7*z(t). Let p(h) = 5*h**2. Calculate p(w(i)).\nAnswer: 125*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6349 + 6350 + 65*m - 12714)*(-5*m**2 + 4*m**2 - m**2).\nAnswer: -130*m**3 + 30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22, 11, -20, -77, -166, -293, -464?\n\"Answer: -p**3 - 4*p**2 + 8*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -348 * -372.5.\nAnswer: 129630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5735*n**2 + 8*n - 11473*n**2 + 5736*n**2 - 4*n**3)*(435 + 9*n - 435) in the form w + b*n**2 + i*n**3 + y*n**4 + p*n and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/35 + -34*(-3)\/42. Let s(f) be the first derivative of -1 + 0*f + f**2 + 1\/3*f**l. Find the second derivative of s(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(sqrt(78) + (sqrt(78) - (sqrt(78) + sqrt(78)*-1))) - sqrt(78))\/sqrt(6)*2.\nAnswer: 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7250 = -2895*a + 3040*a for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2519 + 0.04985842\nAnswer: 2519.04985842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 13. Let k be w(5). Calculate the greatest common factor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*-3*sqrt(120)*-2)\/(sqrt(66)\/(sqrt(11) + sqrt(44)\/sqrt(4) - sqrt(11))*-6).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -6\/13, 7\/3, -81\/14 in increasing order.\nAnswer: -81\/14, -6\/13, 0, 2, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -29. Let k = n + -45. Sort 0.2, -0.5, k in descending order.\nAnswer: k, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2 - 2456*o + 19776 = 0?\nAnswer: -1236, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u - 720 = 19*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 43*j + 42.\nAnswer: (j - 42)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 1, d: 2, y: 5}. Give prob of picking 1 b and 2 d.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -62. Is 15 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/7)*n*n**(8\/7))**(-2\/33) assuming n is positive.\nAnswer: n**(-38\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 4*n + 1. Let k(t) = -t**3 + 5*t**2 + 6*t + 3. Let o be k(6). Let i be v(o). Let r = 0.18 + 0.22. What is the third smallest value in 1, r, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -17.79 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-24)\/(q**1)**10)**(-42\/5) assuming q is positive.\nAnswer: q**(-588\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/8)\/72)\/(((-147)\/5733)\/((-1)\/13))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 + -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49397522 rounded to four decimal places?\nAnswer: -0.494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 3 - (62 + -65 + (-2 - 2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40.28 + -68.35. Let h = d + 0.07. Let p = h + 28.000116. What is p rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135934051 to the power of 1\/2, to the nearest integer?\nAnswer: 11659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*6\/20*(-217)\/((-27125)\/(-250))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*c + 49 - 46*c + 14 - 164*c)*(3 - 3 + 2*c**2).\nAnswer: -366*c**3 + 126*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8765331*f**2 + 4230533*f**2 - 12943970*f**2.\nAnswer: -17478768*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -89. Suppose r*i = 1 + 137. Calculate the remainder when 89 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*c + 3)*(2*c**3 - 11*c**3 + 5*c**3).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1535.4 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**5\/60 - a**4\/3 + 5*a**3\/3 + 24*a**2. Let h be r(-14). Let s = -71 - h. What is the least common multiple of 5 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 8*r**2 - 2*r + 1. Let b be t(8). Let j be b\/(-1)*(-5)\/(-15). Suppose 0 = 4*c + j*d - 440, c + d - 226 = -c. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(21\/8))**(-4\/7) assuming b is positive.\nAnswer: b**(-29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 2*v + 15. Determine n(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 274, 388, 502, 616?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3.26, -0.1, -4 in descending order.\nAnswer: 3.26, 3, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 23.43562 - 0.036\nAnswer: 23.39962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2623?\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -40*u. Let g(y) = 3999*y. Give 3*g(r) + 301*m(r).\nAnswer: -43*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 279 and 37818?\nAnswer: 1172358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -32, -0.1, 14\/33?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 240587 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 1\/2*y**4 + 0*y**2 - 2*y + 0*y**3 + 1. What is the first derivative of x(o) wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -0.04 (b) 0.2 (c) -2 (d) -27 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**19\/(x*x\/(x*(x*x*x*x**(4\/7)*x*x)\/x)*x*x*(x\/(x**(-2\/9)*x))\/x) assuming x is positive.\nAnswer: x**(3134\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7629.638 centuries to months.\nAnswer: 9155565.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133 - -136.94. Let d = h + -0.94. Which is the closest to 2\/5? (a) d (b) -0.1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 - 12100*u**2 + 345 + 5*u - 19.\nAnswer: -12100*u**2 + 5*u + 600","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 46*y - 391. Is w(11) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 456*c - 5933. Let b be q(13). What is the nearest to 1 in -12, b, -3\/7, 8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 20*f**3 - f**2 + f. Let s be (-11)\/(-9) + 4\/(-18). Let r be d(s). Let h be -1 + (2 - r\/(-1)). Solve -4*g - h = -5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602 - 246*o - 602.\nAnswer: -246*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*s**2*u**2 + 2*s**2*u - 52*s**2 + s*u**2 + 3*s*u - 17136*u**2 wrt s?\nAnswer: -84*u**2 + 4*u - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 4\/107, 2\/9, 4.46?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 12 = -0*b - 2*v, -3*v + 38 = 4*b. Let o(y) = y + 0*y + y - 4*y + 10. What is o(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -535337.2312 to the nearest one hundred.\nAnswer: -535300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5250)\/(-140)*(-2)\/(-3)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2 + 13*r**2 - 24*r**2 + 9*r**2 + 4 + 3*r - 3. Determine w(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwwwjssswswssssswo. What is prob of sequence sw?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3\/2, 1733 in ascending order.\nAnswer: -9, -3\/2, 1733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 23. Is 5 a factor of m(51)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/36 - 11\/4. Let q(x) = -4*x + 3. Let r be q(a). Let g = 19 - r. Solve -5*z - 12 = -z + 5*u, 0 = 4*z - g*u + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q, 5*q - 31 + 146 = g. Let j be ((-50)\/(-8))\/(966\/g - 8). Let o = 127 - j. Solve -4*r + 4 = -4*y, o*r = -2*r - 5*y - 23 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t - 2080 + 1664 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24828000 rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-32)\/48*6\/4*-276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a6 (base 13) in base 8?\nAnswer: -2720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {s: 2, c: 10}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaagaaa. Give prob of sequence aga.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*((5 + sqrt(720) + -1)**2 - sqrt(720)) + (((-1 + sqrt(720))**2 - sqrt(720)) + 2)*2)*-6.\nAnswer: -26345 - 1584*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 43443 * 0.099\nAnswer: 4300.857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(363))**2 - sqrt(363)) + (4*(sqrt(363) + sqrt(363)*2))**2.\nAnswer: 33*sqrt(3) + 53000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2\/5*o**2 + 14\/5*o + 12 = 0.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 498582192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.8 + -58274522.\nAnswer: -58274517.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 5*m + 16 = 0, 0*t - 4*m + 4 = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 27?\nAnswer: -7\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -99*w - 3225. Determine y(-48).\nAnswer: 1527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31089, 61627, 92165, 122703?\nAnswer: 153241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848868257?\nAnswer: 31, 1987, 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -29. Let k be (168*875)\/(0 - 1\/j). What is k rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/2, 6, 3, -3.\nAnswer: -3, 3, 6, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389020 is divided by 4744?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 + (-1 - (3 + -4))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 - 8*u + 6. Let r be t(0). Solve 2*c + 2*v = 10, v - r = c - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 31*y**2 - 2*y + 1. Let t(i) = 436*i**2 + 365*i**2 - 800*i**2. Calculate p(t(g)).\nAnswer: 31*g**4 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/510 and -47\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Let d be w(-6). Let u be (2*(-3)\/d)\/(-1). Is 12 a factor of 36*(3 + u)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7188.\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 131380427 divided by 2?\nAnswer: 131380427\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6117, 11697, 16765, 21327, 25389, 28957?\nAnswer: 32037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -320.46 + 320. Let d = q - -0.96. Suppose -5*z - 21 = -4*i - 7, 5*i + 4*z = -3. Which is the nearest to i? (a) 2\/5 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(35)\/sqrt(63) + -3.\nAnswer: -5*sqrt(5)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-10))\/((-6)\/(-6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1512 and 61\/10752.\nAnswer: 96768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*o + 10 = 0, -f = 4*f + 3*o - 7. Let r be ((-11)\/f)\/(3\/(-12)). Find the second derivative of -11*m + r*m + 15*m**2 - 12*m wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8776*u**3 + 0*u**4 + 24 + 8780*u**3 + 4*u**4 - 4*u - 28*u**2 = 0. Calculate u.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 710 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/70 + i**4\/7 + 3*i**3\/7 + 4*i**2\/7 + 14*i + 2. Factor l(o).\nAnswer: 2*(o + 1)**2*(o + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -2)\/4*-6. Suppose -g*s - 3*a = s - 139, 3*s - 4*a - 98 = 0. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3934?\nAnswer: 2, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -278038795*f**5 + 5976*f**2 - 8993?\nAnswer: -16682327700*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/4 + 1\/8*x**2 + 7\/8*x = 0. Calculate x.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n**2 - 3*n - 4. Let m(b) = 14*b**2 + 3*b**2 - 14*b**2 + 2 + 0*b + b. Let w(i) = -2*c(i) - 5*m(i). Calculate w(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 2)\/((-2)\/(-96)). Let l = r - -96. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 2170?\nAnswer: 23870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 65403596 to the power of 1\/3, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8007 - 3?\nAnswer: -8010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57288, 114574, 171828, 229050?\n\"Answer: -16*q**2 + 57334*q - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 4*z + 30 + 142, -17*u + 48*z = 41*z + 328 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + g + 5*v + 231 = 203, -15 = 3*g + 3*v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 3*r + 816. Let g(u) = 53 + r*u**3 - 33 + 2*u**2 + 5*u - 26. Is g(1) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 156 = -2*s. Let a = 43 + s. Solve -a*r + 5*k = -8, 4*r = -k - 3*k + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -289, -4, 0.5, 3 in increasing order.\nAnswer: -289, -10, -4, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*s + 708 = -1228. Solve 5*g - 7*g - 3*q = s, -g + q = -2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/1217 - -29218\/6085. Let z = h + -206\/45. Factor 4\/9*t - z*t**2 + 0 - 2\/9*t**3.\nAnswer: -2*t*(t - 1)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67\/87 + 39491\/348. Let j = h - 115. Let x = -0.009 + 0.409. What is the smallest value in x, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 80*n = 82*n - 11, 2*n = 4*f - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*m**4 - 2667406*m**3 + 36302442997*m**2 - 31114909932*m + 6667375716.\nAnswer: (m - 27218)**2*(7*m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -49*j + 1. Let a be r(-1). Let c(l) = 3*l - 21. Let o be c(0). Let m = 41 + o. Calculate the greatest common factor of m and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*m + 2619 = 6210 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21319 is divided by 1298?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (272 - 272 + 8*l**3)*(1 - 2 + 3)*(3*l - 4*l - 8*l) in the form f*l**4 + a*l**3 + g*l + z*l**2 + u and give f.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 - -60. Let g = -5.03 - -0.03. What is the third smallest value in k, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 7. Suppose -5*z = 3*j - 19, -4*z = j - 15 + f. What is the remainder when 10 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -67? (a) -5\/6 (b) -3 (c) -0.3 (d) 51 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -16\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 3 - 1 - (-4 - (-35 - -16))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v**2 - 38*v + 32. Let l be h(-7). Solve -a + 3 = l*g - 5, 0 = 2*g + 2*a - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197.76 + 197. Let u = -3.64 + t. What is u rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725671.\nAnswer: 725671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2785612*s + 3*s**2 - s**2 - 2785612*s - 7. Give w(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -0.4 (b) 3 (c) 2\/11 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 725 + -722. Suppose g*h = 3*u - 3, -h + 10*u - 7*u = 7. Sort 19, -2, h in increasing order.\nAnswer: -2, h, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 4, 1\/4, 6, 19 in descending order.\nAnswer: 19, 6, 4, 1\/4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (395\/25 + 5 + -14)\/((-21)\/(-210)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 542 = f - 1954, -f + 2520 = -2*c. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/3)*132\/(-198).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2292292930 to the nearest one hundred thousand.\nAnswer: 2292300000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) 3 (b) 0.4 (c) -4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 114*r**3 - 21*r**2 + 11*r + 6. Let b be 1544\/3088 - 14*((-22)\/8 + 2). Let p(o) = -23*o**3 + 4*o**2 - 2*o - 1. Give b*p(m) + 2*a(m).\nAnswer: -25*m**3 + 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/p)\/(p\/((p**(2\/29)\/p)\/p*p)*p)*p\/(p**9*p*p)*p\/p**(-2\/71) assuming p is positive.\nAnswer: p**(-34803\/2059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 610 divide 396288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.77 - -0.23. Which is the closest to 2\/7? (a) 1\/5 (b) -1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142572 and 4578.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(4*u + 3 - 3)*(2 - 2*u - 2)*(3 - 4 + 3).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -32958.1 less than -1.3?\nAnswer: 32956.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 - 2765*t**3 + 5*t**2 + 2765*t.\nAnswer: -5*t*(t - 1)*(t + 1)*(t + 553)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -176\/189 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 5, b: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17299 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1098304 * -91\nAnswer: -99945664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3896634, -3896633, -3896632, -3896631, -3896630?\n\"Answer: j - 3896635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-8)*-4)\/(56\/(-16))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1430*n + 54335. Determine d(-38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 383, 3049, 10289, 24395, 47659, 82373, 130829?\nAnswer: 195319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 7560 = 64*g + 259*g for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111010100000110 (base 2) in base 3?\nAnswer: -100211211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 9*w**2 - 2. Let t be r(9). What is the common denominator of (3 - -8)\/(72\/(-6 - t)) and -39\/44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + m**2 + 2*m. Let p(t) = 4*t**3 - 2*t**2 + 2*t. Give -2*j(u) - p(u).\nAnswer: -2*u**3 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8983442 - 0.8992. What is v rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 353970 and 327750.\nAnswer: 13110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 6. Let s be h(-1). Suppose -s*o - 42 = -3*o + 5*x, -3*o - x = 37. Let r = -2 - 10. Which is bigger: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2039326.\nAnswer: 2, 1019663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/25 - (-4)\/10. Suppose 4*q = -g*q + 28. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85.691 + -0.891. Let x = -92.8 + g. What is the nearest to x in 1\/7, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, 104, 567, 1596, 3413, 6240, 10299?\n\"Answer: 37*k**3 - 50*k**2 + 10*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129 - 11371*z + 2*z**2 + 11371*z to b*z + h + o*z**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 109354487 or 0.3?\nAnswer: 109354487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679462?\nAnswer: 2, 7, 48533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-3 - (3 - 3 - -8 - (-5 + 98)))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 114781242 to the nearest 1000000.\nAnswer: 115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-648)\/16) + 636\/162. Solve 0 = u*o + 3*f - 5, -25*o = -22*o - 2*f - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1*10\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31605, 31615, 31639, 31683, 31753, 31855, 31995?\nAnswer: 32179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186 + -200 - (-11 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z**2 - 2*z + 1. Let i be f(1). Let k be 0\/(-2 + 1 + 2). Suppose k = -s + 26 - i. What is the remainder when 56 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*a + 60*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.933 - 0.84. Let x = l - 0.09300744. Round x to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -12 + 141247*l - 70617*l - 70629*l. Let c(x) be the second derivative of x**3\/3 - 23*x**2\/2 + 3*x. What is -3*c(v) + 5*t(v)?\nAnswer: -v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 955340 to the nearest 10000.\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1106 (base 7) to base 2.\nAnswer: 110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1073 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304\/(-1938)*-731*(-1)\/(-10)*15\/2.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**5 + x**2 + 0*x**2 - 35*x**5 + (-1 - 2 + 2)*(11*x**5 - x**5 - 7*x**5) - x**5 + 3*x**2 - 3*x**2.\nAnswer: -46*x**5 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859396 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4570 (base 14) to base 9.\nAnswer: -663447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1000011100111010 (base 2) to base 12\nAnswer: -1804a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**4\/4 + 6085*l**3\/2 - 7405445*l**2\/4 = 0.\nAnswer: 0, 1217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 77*w - 2658. Let m = 0 - -55. Calculate the lowest common multiple of m and a(-26).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2216 (b) 0.3 (c) 1 (d) 0 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 3*f**3 + 3*f**3)*(4*f**2 - 2*f**2 + 0*f**2) + (11 + 17 + 11 + 0 + 4 - 3 + (-3 - 1 + 3)*(2 - 2 + 2) + 0 + 1 + 1)*(-8*f**5 + 9*f**5 - 12*f**5).\nAnswer: -444*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 5 + 3)*(t**2 - t**2 + 2*t**2) + 0*t**2 - 26 - t**2 - 45 in the form l*t + z + u*t**2 and give u.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.6. Let k = h + -5.6. Let i be (-3)\/1*(-10)\/6. What is the second smallest value in i, 2\/13, k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -7*v**5\/60 - v**4\/12 + v**2. What is the second derivative of s(h) wrt h?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -30*k - 4. Let c(y) = -164*y - 22. Let j(w) = -4*c(w) + 22*u(w). Let v(g) = 20*g. Let r(s) = -8*s. Let t(n) = -12*r(n) - 5*v(n). Determine t(j(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 8*n = 5*n - 106, 99 = 4*r + 3*n + 305 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 11:51 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 115976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/28)\/(1\/6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.88 - -2.78. Let j = -10.39 + 10.89. Which is the nearest to w? (a) 0.006 (b) 4 (c) 5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j**2 - 6*j + 1. Let u(h) = 23*h**2 - 17*h + 3. Determine 17*t(m) - 6*u(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -1\/6*g**3 + 1\/20*g**5 - g**2 - 1\/12*g**4 - 8*g + 0. Give i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/60*9 - (-98)\/(-130)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -5, -51, 4.6, 2, -20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) -0.16 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 1\/4, 44, -37?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*w = q + 7, 4*w - 11 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*z - 230094 + 636158. What are the prime factors of z?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6074656*w**3 - 74362*w - 14 wrt w?\nAnswer: -36447936*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69198825 divided by -23066275?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 37. Suppose -g*k = 5*p - 40, -k = 3*p - 5*p + 3. Calculate the remainder when 12 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -244\/39 - -90\/13. Sort 2\/37, -0.13, u in ascending order.\nAnswer: -0.13, 2\/37, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(8\/(-4) + 1). Suppose n = -0*c - 2*c - 4. What is the closest to 1 in c, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -18 - (-4 + 0 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 3, -3, -9, -15?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4328438 is divided by 785?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * 0.1309.\nAnswer: -4.1888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 37*q**2. Let o(k) = -12*k - 16*k - 18*k + 59*k - 14*k. Calculate o(r(f)).\nAnswer: -37*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -30, -71, -150, -279, -470, -735, -1086?\nAnswer: -1535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 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: b\"What is the rth term of -116, -132, -166, -224, -312?\n\"Answer: -r**3 - 3*r**2 - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 384\/(-660) - (9\/11 - 1). Which is the closest to 1\/2? (a) 122 (b) i (c) 5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - sqrt(660)\/(sqrt(48)\/sqrt(4)) - (sqrt(55) + sqrt(55)*-2*-2 + sqrt(55)))\/(sqrt(77)\/sqrt(63) + 6*sqrt(44)\/sqrt(4)).\nAnswer: -18*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2241, -2244, -2249, -2256, -2265?\nAnswer: -2276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-720)\/(-40)*1 + 7 + -42.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*1\/(-3) + 2. Suppose u = q + 1, 5*r - 2*q = 6. Find the second derivative of 410*t**2 - t - 403*t**r - t wrt t.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66115859.\nAnswer: 1453, 45503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-40))\/(21\/((-43680)\/(-7670)))?\nAnswer: 6\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 506 + -767. Let k = 463 + w. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -34. Let t = -11 + f. Let r = -2958 + 2958. What is the second biggest value in r, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1\/4026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q - 1. Give v(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2))\/(1\/(-4)). Suppose -21 = 3*f + 3*c, 0 = -f - 5*c + x - 21. Let r = 3 - f. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*v + 757 + 9860, 2 = -2*v. Is 58 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/120 - b**5\/12 + b**4\/4 - 3*b**3\/2 - 3*b**2. Let g be y(6). Let u = g - 36. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66445*b*u + 124932*b + 2*u with respect to u.\nAnswer: -66445*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -40. Suppose 2*j - 4*d - 36 = 0, -5*d = -5*j + v*j + 36. Calculate the least common multiple of 102 and j.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + q**2 + q + 235. Let d be l(0). Let p = -168 + d. Let s = p - 58. What is the highest common divisor of 36 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 867, 1, 5, 49 in descending order.\nAnswer: 867, 49, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3660 = 7*r + 3667. Let y = -0.4 - -0.2. Put y, r, 0.4 in decreasing order.\nAnswer: 0.4, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 57 + ((-7)\/(-1) - 4). Suppose -f - 4 = 0, -4*q - 2*f + 3*f = -n. Suppose 5*c = -19*u + q*u + 100, 2 = -2*c. Solve 7*z = -y + 3*z - u, z = 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 11.6. Let k = 5 - 3. Let r be k\/5*(-25)\/35. Which is the third smallest value? (a) t (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (356*r - 356*r + 25*r**2)*(-7*r**2 - 80*r + 80*r + 1) to d*r**2 + b + t*r + w*r**3 + l*r**4 and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1335013, -5339710, -12014205, -21358498, -33372589, -48056478, -65410165?\n\"Answer: -1334899*q**2 - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 59. Let r be 39*((0 - k) + 22\/6). Suppose 2*c - 265 = -4*s + 3*c, 0 = -2*s + c + 135. Calculate the greatest common factor of s and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513\/(-1710)*10\/(-36)*12\/(-111)?\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*k + 4, -2*k + 3*y = -6*k - 12. Solve -7*c + 2*c = g + 15, 5*c - 2*g = k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 18*m**2 + 4. Let v be o(18). Solve -4*g = -0*g - v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 407674, -4, 4, 2, -3, -1 in decreasing order.\nAnswer: 407674, 4, 2, -1, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21355, -42888, -64411, -85918, -107403, -128860, -150283?\nAnswer: -171666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 18 = 2*i, -3*i + 19 = -5*o + 4*o. Suppose i*g - 88 = -8. Let h = 1 - 1. Solve 5*c - 4 - g = h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 50968.67 millennia?\nAnswer: 611624040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 4:08 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 53. Suppose -5*l + b = -11. Suppose 40*f - 652*f + 4014 + 15570 = 0. What is the greatest common factor of f and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1521*h**3 + 7*h**2 + 190*h - 727*h**3 - 6490 - 792*h**3 - 3381 wrt h.\nAnswer: 6*h**2 + 14*h + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(567) - (sqrt(567) + ((-3*sqrt(567))**2*1 - sqrt(567)))).\nAnswer: -15309 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1311, 0, -5.\nAnswer: -1311, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*l = -106*l + 48158. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t = 5*p - 125, 4*p - 78 = -2*t. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 2, g: 1, j: 1}. Give prob of picking 1 v and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261643*q - 108279*q - 52884*q.\nAnswer: -422806*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**2 + q - 9. What is the tens digit of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 7:46 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 5. Let c be r(3). Let y(d) = -c*d + 7*d - d. Let b(u) = -2*u**2. Determine b(y(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:39 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -1.3 (b) 3 (c) 2.7 (d) 7 (e) 0.05 (f) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(85)\/(sqrt(10)\/(sqrt(20)\/sqrt(10))) - ((sqrt(272) + 0)**2 + -2*sqrt(68)\/sqrt(4)).\nAnswer: -269 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2077 - 1949. Calculate the highest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174833.1116938 + 599728.3882878. Let l = 774562 - d. Let i = -0.5 + l. What is i rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i - 1. Give y(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112440 + 1204?\nAnswer: 114144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -100 + 3*i**2 + 2*i**2 - 69 in the form o*i + b + t*i**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 13*m + 80 = 0. What is the smallest common multiple of 3 and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8281.34 - 138490\nAnswer: -146771.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*l - 0*l. Let i be l\/4*4\/(-15). Which is smaller: -1\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-48))\/((-8474)\/5352).\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90628*i + 90628*i - 4986*i**3 - 2)*(0 - 2 - 1).\nAnswer: 14958*i**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**4\/11 + 11204*l**3\/11 + 15657504*l**2\/11 - 94528448*l\/11 - 251597312\/11 = 0.\nAnswer: -2804, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -282 divided by -10954\nAnswer: 141\/5477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2\/9 + 104*z\/9 + 1190\/9 = 0.\nAnswer: -35, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-273*i**2 + 228*i**2 + 535*i**2)*(i**2 - 3*i + 3*i) + (-1 + 1 + 2*i**2)*(-2*i**2 + 2*i**2 - 6*i**2).\nAnswer: 478*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 1. Let a be b(-8). Let z be a\/45 + 52\/10. Solve 21 = -5*w + 3*r, 0*w + 5*w = z*r - 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1450 - -0.33.\nAnswer: -1449.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/15)\/(-4) + (-13 - -12)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 28 + 13 + 3 - 38*a**2.\nAnswer: -38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z*z**0)**(11\/5) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/2)\/(-2 + (-2 - -3)). Solve -4 = m + d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92525846.\nAnswer: 2, 7, 199, 33211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 5035?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 50. Sort -0.7, -1\/2, 4, v.\nAnswer: v, -0.7, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 30 = 13*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2290881 to the power of 1\/2, to the nearest integer?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -3. Let u = 0.0538 + -0.5538. Sort -0.4, u, v.\nAnswer: v, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 g when three letters picked without replacement from bgbbbbbrrdbbdbbb?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 113489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1095*c**3*g*l + c**3*g + 44*c**3*l - 22*c**2*g*l - 157*c**2 - 3*c*g + 10*g wrt c.\nAnswer: 6570*g*l + 6*g + 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 5*b**2 + 3*b + 1. Let r(u) = 6*u + 3. Let o be r(4). Let j be ((-3)\/9)\/(3\/o). What is the units digit of t(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*n + 4*y, -102 = 5*n + 4*y - 121 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17194.4um in meters?\nAnswer: 0.0171944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18\/121 + -4907\/363. What is the common denominator of z and 3\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5752616 times 37?\nAnswer: -21.2846792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.474 - -0.074. Put h, -4, -1, -2\/9 in decreasing order.\nAnswer: -2\/9, h, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267187, -534404, -801615, -1068820, -1336019, -1603212, -1870399?\nAnswer: -2137580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + t - 28103 = 0, -11*t - 7013 = q - 7*t. Is 7\/((-35)\/q)*1 + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 8 - (3 - (-2 - -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8*((10\/5 - 4) + 2). Let g(h) be the third derivative of 0*h - 18*h**2 + 0*h**3 - 1\/12*h**5 + a - 1\/4*h**4 + 1\/120*h**6. Calculate g(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1889722 - 1139722. What is r rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 7211247?\nAnswer: 7211263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7914625 is divided by 141.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (2 + -3 + -5)) + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 572608, 572433, 571948, 570997, 569424, 567073, 563788, 559413?\nAnswer: 553792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.7802 to the nearest integer.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/893 and -17\/564.\nAnswer: 10716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4354 = 924*g + 8582 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 2 + 2)*(3*p - 6 + 6)*(-2 + 3 + 0).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 8*u + 12*u + 29 = 0, 0 = 4*h - 2*u - 8. Is 2\/1733 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 + 35*k**2 + 17*k + 11. Calculate f(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 36211.\nAnswer: 10863.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -515, -0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15616\/200 + (-6)\/75. Let o be 6\/(-3) - (t\/(-24) - -1). Which is the second smallest value? (a) -1\/3 (b) -20 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/14)\/((-43)\/7 - -6). Let v(a) = 2*a**2 + 4. Let p be v(5). Calculate the greatest common factor of w and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**5 - 85*d**4 + 2073*d**3 - 11763*d**2 + 23382*d - 13608 = 0.\nAnswer: 1, 3, 36, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -185295 divided by 185295\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c = -24. Let a = 2 - c. Suppose -3*n = -13 - a. Calculate the remainder when 26 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12405 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 8*f + 8 = -4*f, 8 = 2*f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + g - 4. Let f(r) = 40*r**2 - 60*r + 240. Let l(q) = 2*f(q) + 120*z(q). Let b(a) = -2*a. Give b(l(n)).\nAnswer: 80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -374.9167331756 plus 0.016?\nAnswer: -374.9007331756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4002227 (base 9) in base 16?\nAnswer: -207631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*k + 21, -5*r + 4*k = -0*r + 123. Is -220 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*g - 465, 2*g - 156 = 3*d + 51. What is the greatest common divisor of g and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 + -158. Suppose -v*y + y = 3*f - 3, y = 1. What is q in -1\/5*q**5 + 0*q + 1\/5*q**3 + 0*q**4 + f + 0*q**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/20 + 3*h**5\/20 + 8*h**2. Find the third derivative of t(r) wrt r.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0*s**3 + 3*s**2 + 0*s + 0*s**5 + 0*s**6 - 29\/105*s**7 + 7 + 7\/6*s**4. Find the second derivative of i(a) wrt a.\nAnswer: -696*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2856*q = 23062 + 154010 for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - d - 4*d)*(-5 + 1 + 3) - d + 5*d - 2*d - 3*d - 4*d + 5*d - 2196*d + 2211*d + 22 + 26.\nAnswer: 16*d + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6626 rounded to one decimal place?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13494 divided by 4250\nAnswer: 6747\/2125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1039 (b) 0.032 (c) 5 (d) 2\/7 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -10)*(-2)\/(-4). Is 260 - (0 + (l - 0)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*g + 4, 0 = 4*b - 5*g - 4 - 9. Suppose -o = b*h + 4, -h + 2 = -2. What is the smallest common multiple of 8 and 3\/o + (-89)\/(-4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 10*h - 201. Calculate the highest common divisor of 75 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (-30 - (23 + -66))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 630044211 to the nearest integer?\nAnswer: 25101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + -13725?\nAnswer: -13745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 484, 0, -4, 0.4, 9 in descending order.\nAnswer: 484, 9, 0.4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -52, -107, -174, -247?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2186*c**4*f + 15230*c**4 + 3*c**2*f + 49*c**2 + 2*c*f + 703*c + 72 wrt c?\nAnswer: 52464*c*f + 365520*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4608 - 69122\/15. Sort -4, 4, 5, l, -6 in increasing order.\nAnswer: -6, -4, l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 16008 = 2*m, -3*w + 24004 = -0*w - m. Suppose -p + 5 = 0, -5*q = -p - w - 4783. Find the common denominator of (-12)\/78 - q\/2808 and 113\/14.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 4*c**2 + 3. Let t be l(-4). Suppose f = t*z + 9, 0 = f + z - 5. Suppose 0 = -4*i + g - 2, -3*i - 3*g + f = -0*g. Solve 6 = -i*p - 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = 24. Let z = -13 - -39. Let k be ((-13)\/z)\/((-2)\/12). Solve -3 + t = k*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, 0.5, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28658624*g**2*v**2 - 81901*g*v**2 + 259*g wrt g?\nAnswer: -57317248*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.06 - 0.06. Let j = 247 + -246.881. Let t = j + -0.019. Which is the second smallest value? (a) t (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 484 and 162386620?\nAnswer: 1786252820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 25 - 10 = 0. Suppose 8*r - 11*r - 9 = 0. Let j = r - q. Solve k + 9 = 3*p, -j*p = -0*k - 3*k - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 218 + 11?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64*(-58)\/1856*(-4)\/6*(-24)\/(-26)?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**3 - 2*o**2 - o. Let k = 8 + -5. Let l(h) = -h**3 + 7*h**2 - 3*h. Calculate the remainder when l(k) is divided by u(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 0*k - 12. Let h(t) = -t**2 + 5*t - 3. What is h(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 387 = 0. Let k = g - 239. Round k to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(-3 + 0 - 3)*(0*n + n - 2*n) - 3 + 3 + 2*n to h*n + d and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvxllrvruxex. Give prob of picking 1 l, 1 e, 1 r, and 1 u.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283030 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 - 6413 + 108*j**3 + 1613 - 4320*j - 40049*j**2 + 39317*j**2.\nAnswer: -3*(j - 20)**2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 13*g - 46. Determine n(12).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 + 2*z - 16 - 340*z**3 - z + 341*z**3 to l*z**2 + d*z**4 + q*z**3 + a*z + n and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -605*f. Let h(j) = -2*j. What is 11*h(g) - s(g)?\nAnswer: 583*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 8*p - 10 + (0*p + 2*p - p)*(-5 + 2 + 4) + 0*p + 0*p - p + (0*p + 2*p - p)*(14 + 18 - 1).\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1363*t - 2723. Let k be r(2). Solve -n - 2*i = -10 + 3, k*n + 4*i = 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13858797, 13858798, 13858799, 13858800?\nAnswer: 13858801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 32811779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 1 + (3 - (-16 - -10))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228051113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c015 + -1?\nAnswer: c014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68*k + 12*k**2 - 68*k + (k + 0*k + 0*k)*(-2 + 2 + 2*k))*(0*k - 4*k + k) to f + o*k + h*k**3 + z*k**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4481 = 756*t + 55 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 35*j. Let i(o) = 923 - 21*o + 919 - 3671 + 917 + 914. Determine i(u(k)).\nAnswer: -735*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -9 - -1)\/(-2). Suppose -6*g + g = 2*j + 13, -2*j - 5 = -s*g. Let u = g + 4. What is the remainder when 4 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/705 (b) 1\/3 (c) -2\/19 (d) -19 (e) 5 (f) -4 (g) 1\/165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 9*l**2 + 7*l - 12. Calculate h(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 917*d + 209796. Give p(475).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6589 + -6577. Solve x*a = -21*a + 66 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 3*d**6\/10 - 3*d**5\/25 - 51*d**4\/20 - 19*d**3\/5 - 9*d**2\/5 + 20. Let t(z) = 0. Calculate z.\nAnswer: -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41400 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1411610 * -15.\nAnswer: -21174150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -216\/2383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11672615?\nAnswer: 5, 23, 101501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -66a (base 14) to base 13\nAnswer: -769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 65292?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 241 - 1141. Let r = 182 - d. Suppose 39*x - 35*x = 0. Solve 4*u = r*v, 3*v - 3*u = -x*u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**6\/360 + a**5\/40 - a**3\/6 + 5*a**2. Let z(m) be the first derivative of f(m). Find the second derivative of z(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -861464*a**3*q**3 + 17*a**3 - 17583*a*q**2 wrt q?\nAnswer: -5168784*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104923?\nAnswer: 7, 13, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 2112*w + 38664.\nAnswer: -2*(w - 18)*(w + 1074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvnnkvu. What is prob of sequence nn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**2 + 5*t**3 + 156 - 10*t - 156 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11268+-261543\nAnswer: -261542.88732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49034179 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -111000110 (base 2) to base 10\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -122*b**2 - b - 1. Let w(m) = 740*m**2 + 8*m + 7. Calculate 13*g(n) + 2*w(n).\nAnswer: -106*n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnihnnin. Give prob of picking 2 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3196 and 556716.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-10))\/(1\/10). Let p be (18\/w)\/((-3)\/4). Let s be 21\/p - (-2)\/4. Solve -l - 2*o + s*o = -2, 0 = -5*l + o + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 4*x + 60. Let n be u(-6). Let h(g) be the second derivative of 0*g**2 + 7*g + 7\/4*g**4 + n - g**3. Let h(b) = 0. Calculate b.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 33108*h - 7614819. Calculate g(230).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 - 26776*o\/5 + 89619272\/5.\nAnswer: 2*(o - 6694)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.33 (b) -1 (c) 2 (d) 1 (e) -10 (f) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -190, -406, -664, -988, -1402, -1930, -2596, -3424?\n\"Answer: -4*t**3 + 3*t**2 - 197*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71419*x + 2*x**2 + 142845*x - 71426*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 37*v - 4. Let m(b) = -34*b + 3. Give -4*i(t) - 5*m(t).\nAnswer: 22*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-8)\/(-32)*3\/(-945)*-18.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 3*t**2 + t - 3. Let w be s(-4). What is the third derivative of 4*c**2 - 3*c**3 + 2*c**5 + w*c**3 - 6*c**3 wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -20*q**3 + 6. Let o(r) be the third derivative of 41*r**6\/120 - 13*r**3\/6 + 2*r**2 - 1. What is 6*o(k) + 13*p(k)?\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10698764 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33\/22*(-4)\/(-66). Which is the closest to 0.1? (a) j (b) -1\/2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/6 - 6101*a**3\/3 - 36433081*a**2\/6 + 802403520*a - 25946265600.\nAnswer: -(a - 64)**2*(a + 6165)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290 a factor of 43723260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1572 and -1.2747.\nAnswer: 2003.8284","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: (-12)\/9*(-90)\/40\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -9*x - 30. Let k be (-2)\/x + (-58)\/(-10). Let w be ((-42)\/(-9))\/(2\/k). What is the greatest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/26 and -93\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + (((sqrt(68) - (-1 + sqrt(68) - sqrt(68))) + -5 - (-2*sqrt(68) - sqrt(68))*2) + 3 + 4)*-6)**2.\nAnswer: 3528*sqrt(17) + 120398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 810.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**3 + 2*i**2 - 2*i - 2. Let z(c) = 110*c**3 + 45*c**2 - 45*c - 45. Let t be (-14)\/(-7)*37\/(-2). Let a = t - -39. Give a*z(f) - 45*u(f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131693 is divided by 65662?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 12*f**3 - 9*f**2 - 4. Let c(x) = -3*x**3 + 2*x**2 + 1. Let u(l) = -9*c(l) - 2*j(l). Let s be u(1). Solve 2*i + s*i - 12 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 + -0.5. Let j = 8 - 9.5. Let v = j - -2. Which is the nearest to n? (a) v (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Let l(k) be the first derivative of k**3 - r*k + 2 + 6*k + 0 + 0*k. Differentiate l(n) with respect to n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 44 + -30 - 28\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*x + g, -x = -6*x - 2*g + 36. Let n(y) be the second derivative of y**5\/20 - y**4\/3 - y**3\/2 + 2*y**2 + y. List the prime factors of n(x).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**2 - 3*g + 104. Let x(f) = -5*f**2 - 4*f + 83. Let p(s) = -4*a(s) + 5*x(s). Determine p(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 9. Suppose o = -j*a + 2, a - 1 + 2 = 0. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**2 - 10008*c - 59904 = 0. What is c?\nAnswer: -2496, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338541 and 1410.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2. Let s(n) = -2*n - 2326. Give s(m(h)).\nAnswer: -4*h**2 - 2326","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from kkkkkkkkkkkkskkksskk.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(2) + 5 - sqrt(2)) + sqrt(2) - sqrt(2))*-1)**2*3*-2.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51956099 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267303213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -0.01503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667*x + 220 = 4*k + 683*x, -5*k + 37 = 3*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-4950)*11)\/(2*1\/(-6))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 3*w + 8. Calculate v(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89\/2 - -44. Let j = 6758 + -33787\/5. Which is the nearest to i? (a) -3 (b) j (c) 3\/14 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, and 1 g when three letters picked without replacement from {t: 1, x: 3, z: 1, r: 2, g: 8, k: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 22*s + 4)*(-2 - s + 7*s - 5*s) to i*s**2 + p*s + z and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 39 = -7*y, -4*y + 5*a = -34 + 51 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6174930143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(72) - (sqrt(72)*2 + sqrt(72) - sqrt(72))))\/((sqrt(192)\/sqrt(4))\/sqrt(8)))\/(sqrt(48)\/sqrt(32) - (sqrt(294) - (sqrt(294)*-1 - sqrt(294)))).\nAnswer: 6*sqrt(2)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 671456739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -20. Let t(v) = -2*v**3 + 5*v**2 + 4. Let r be t(p). Put 7, 2, -2, r in ascending order.\nAnswer: r, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-164)\/(-24) - 2) + (-22095)\/26514?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -301 divided by -44444\nAnswer: 301\/44444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247 = 125*p - 122 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, i: 4}. Give prob of picking 3 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 20*n - 26. Let b be f(-18). Let v(g) = g**3 - 4*g**2 + 5*g - 2. Let z be v(3). Suppose -t + b = z*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1127 and 7?\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 7, x: 2}. What is prob of sequence bb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*l**2 - 3 - 118*l + 120*l + 9*l**2)*(-4*l - 5 + 5) + 7*l**3 - l**3 - 3*l**3 to a*l**2 + t + z*l + n*l**3 and give n.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451, -735, -1207, -1867?\nAnswer: -2715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d = -365 + 130 - 303 - 488 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -18 - -18 - 1966\/(-3). Let z = 644 - s. Calculate the common denominator of -27\/17 and z.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqmtqmmmmmmmtmmqtm. Give prob of picking 1 m and 2 t.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 350, 1142, 2674, 5192, 8942, 14170?\nAnswer: 21122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, k: 10, s: 2, o: 1, g: 1}. What is prob of sequence kkob?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s + 28. Let t be q(-10). Let n(v) = -5*v + 48. Let o be n(t). Let r = 37 - 33. What is the greatest common factor of r and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2357, -2854, -3689, -4862, -6373?\nAnswer: -8222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 355, 890, 1641, 2608?\nAnswer: 3791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 9*k**2 + 8*k + 5. Let b be r(-8). Let i = -94 - -162. Suppose -5*j + j - i = -4*o, b = -j. What is the highest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172422, 171772, 171108, 170424, 169714, 168972, 168192, 167368?\nAnswer: 166494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 1 - 1 + (-16*b**2 + 4*b**2 + 116*b**2)*(-2 + 6 - 3) as y*b + m*b**2 + i and give m.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/49))\/h)\/(h\/(h*h*h**(-7\/11)))*((h*h*h*(h*h**(-8))\/h*h)\/h)\/(h*h**(8\/11)*h) assuming h is positive.\nAnswer: h**(-3980\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 321 - 321 + 2*m. Let w(q) = -71*q. What is w(z(f))?\nAnswer: -142*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*z - 12 = 0, 0 = 4*a + 7*z - 5*z - 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 36. Let u be b(14). Suppose 0 = -t + 6*t - 30. What is the remainder when t is divided by 12\/u + 5 - (-1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 12:49 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4124 - 28916\/7. Let g = 4\/247 + 3191\/1235. Find the common denominator of x and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (4\/(-14) - 48\/28). Suppose k - 42 = 13*o. Let z be (-25)\/(o\/(3 - 0)). Calculate the highest common divisor of 50 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -9, -2, 15, 68, 5 in descending order.\nAnswer: 68, 15, 5, -1, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 3 + 15. Let k = d - 0. Let s(g) = g + 3. What is the units digit of s(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 20*l**2 - 98*l + 32. Calculate v(24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6853875 divided by -7833\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4500)\/1050)\/((-210)\/(-63)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*y - 49*y - 35555. Let q = 83889 - y. Round q to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 449284975 divided by 2675.\nAnswer: 167957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -36*z + 473. Let v be n(13). Solve -3*x + x + v*d + 9 = 0, -x + 1 = d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2430, 6738, 12918, 20970, 30894, 42690?\nAnswer: 56358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21475363693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1996 - h**2 + 1009 + 1000 - 17*h. Calculate w(-19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - -4*-2*sqrt(136))\/((sqrt(160)\/sqrt(5) + sqrt(32))\/sqrt(4)))**2.\nAnswer: 833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/170 and -71\/4590?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/((408\/216)\/17)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000534 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + 4 + -2 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.356871 nanometers?\nAnswer: 0.000000000000356871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0872625um to kilometers.\nAnswer: 0.0000000000872625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3870896780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 3197\/873?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24302 + -0.0296203?\nAnswer: -24302.0296203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 36. Let j be (c\/(-36))\/((-2)\/(-40)). Find the second derivative of -2*k + 28*k**j - 2*k + k - 18*k**5 wrt k.\nAnswer: 200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 711 divided by 158993\nAnswer: 711\/158993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18453103 or 18453117?\nAnswer: 18453103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**27*(m\/((m\/m**(-2\/9))\/m*m))\/m)\/((m*(m*m*m**5*m)\/m)\/m**(-12)))**(2\/71) assuming m is positive.\nAnswer: m**(104\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101.75 + 0.25. Let y = -106 + h. What is the closest to 0.1 in -3\/4, 1, y?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811162?\nAnswer: 2, 905581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -1 + -3)\/((-20)\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Suppose 0 = -u*y + 5 + 5. Is (67\/(-3))\/(y\/(-15)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1679 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + (-21)\/9)*3. Suppose 2*x = 4*q - 12, l + 23 = 4*x + 5*q. Suppose 3*y + y - 68 = 0. Solve -3*c = -x*o - y, -4*o + 9*o = -4*c + 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + sqrt(275) + 1)*-2.\nAnswer: -30*sqrt(11) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*a - 3)*(-35450*a - 80 + 158 + 3130*a - 78).\nAnswer: 64640*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*m*u*z**3 - 319176*m*u*z - 20186559*m*z**3 wrt u?\nAnswer: -30*m*z**3 - 319176*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 4. Let u(q) = -2*q + 2. Calculate the remainder when 37 is divided by u(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 10860?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 6*g**2 + 3*g + 4. Let y be x(-7). Suppose -q + 5*r - 1 = -3, 2*q - y = -4*r. Solve 4*d - q = 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.01312 and -14.6.\nAnswer: -14.791552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16371\/28152 - 10\/16\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0*q. Let o = -3 + 5. Suppose a - 12 = 2*p, -3*p - o = 3*a - 20. Solve 0 = 4*z - q - a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3 + 2122*q**2 + 243365*q - 1270000 = 0.\nAnswer: -2000, -127, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 47. Let j(x) = -x**3 - 7*x**2 - 7*x - 7. What is j(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578666 is divided by 10318?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i*l**3*x - 350*i*l*x + 67*i*l - 2*i - 3*l**3 + 20543*l**2*x + 365*l**2 wrt x?\nAnswer: i*l**3 - 350*i*l + 20543*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/9 + 38*n\/9 + 728\/9.\nAnswer: -(n - 52)*(n + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 214273 + 2944131 = 2*v, 4*b + 4*v = -4211192. Round b to the nearest 10000.\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 + (-8)\/2 - 1. Which is the third smallest value? (a) 3 (b) q (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154357, 308707, 463057, 617407, 771757?\nAnswer: 926107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 - 65. Let y be 12 + (-1)\/((-1)\/(-2)). Suppose 2*q + y = i, 4*i + q = -q + 40. What is the greatest common factor of u and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*136.6.\nAnswer: 3688.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -38661, -5, 4, -6 in descending order.\nAnswer: 7, 4, -5, -6, -38661","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/18 or -2\/201?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*f**2 - 25*f**2 - 49*f**2 + 83*f**2 - 420*f**2.\nAnswer: -719*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 6:59 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5417 + -5421. Which is the third smallest value? (a) 2 (b) 20 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r + 46 - 238. What is the derivative of -29*a + r + 3 + 29 wrt a?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10 + (-38)\/(-10). Let l(p) = -3*p**2 + 2 - p + c*p**2 - 2*p. Determine l(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/6*(288\/30)\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5320672 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 41)*-14*8\/32. Calculate the greatest common divisor of 1281 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1443*q - 3*q**3 + q**2 - 4*q**2 + q**3 + 1440*q in the form j*q**2 + m*q**3 + c + o*q and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 32*t**2 + 34*t + 20. Let v be i(33). Suppose -21 = 16*g - v. Solve 0 = -4*l + s + 9, -13 = g*l + 4*s + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 144.9444l?\nAnswer: 144944.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c + 7*c + 12*c)*(-1 + 0 + 2)*(-2 + 0 + 0) - 2*c - c + 5*c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.641979077 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 51\/9 - 4\/6. Let u = 5 - t. Let x(m) = -m - 3. Let v be x(-4). Solve -c - 4 + v = u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*v + 10 = -53*v. Suppose 0 = -0*y + 5*y - v. Is y bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**8*h**9)\/(h*h**(-4))**(9\/5) assuming h is positive.\nAnswer: h**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 25*d = -2*h - 7, -4*h = d + 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) -3 (c) -2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -164 + 213122?\nAnswer: 212736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 92.46 times -5\nAnswer: -462.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -409 - -419. Let m = -8.9 - 1.1. Let r = m + k. Which is the closest to -1\/3? (a) 1 (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2. Let x(k) = -k - 37*k**2 + 38*k**2 + k. Calculate d(x(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 201299, -15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 6*r, -3*r + 33 = -3*g. Which is smaller: -12 or g?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.29624 decades in millennia?\nAnswer: 0.6829624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12ef - 6b8?\nAnswer: -19a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 38*t**3 + 17*t**2 + 17*t + 17. Let s(u) = 100*u - 883. Let g be s(9). Let m(y) = -13*y**3 - 6*y**2 - 6*y - 6. Calculate g*m(f) + 6*d(f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -7*w**4\/12 + 20*w**2. Let m(z) = -2*z**2. Determine l(m(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936*k - 2846 + 32798 = 0 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*a = 53*a - 5344. Suppose 7*p = 914 + a. Calculate the remainder when p is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d + 110 = -29*d. Solve 8*c + 43 = d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1077 - 0.04.\nAnswer: -1077.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(6\/13)\/l)\/l**2*(l\/(l*l\/(l*l**7\/l)))**(21\/2) assuming l is positive.\nAnswer: l**(786\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w + 51*w = 6. Let a(s) be the first derivative of -1\/5*s**w + 1\/10*s**4 + 0*s - 2\/25*s**5 + 2\/15*s**3 + 5. Solve a(g) = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 517\/127451 - 21\/547. Are -1 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -1\/3*p**3 - 4*p - 3 + 0*p**2. Calculate j(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/5 + -3 + 576\/(-105). Which is smaller: q or -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*c*x**3 + 97*c*x**2 + x**2 wrt x.\nAnswer: 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -13, -13, -3, 23?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2194762.5 * -3\nAnswer: 6584287.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50357316?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 16 = -108*x + 107*x, 3*x = 3*w + 15 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 + 8037\/(-1539)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -544, -4, 402 in increasing order.\nAnswer: -544, -4, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8279 - -8286. Solve 0 = -2*k - 2, -d - 6*k - 3 = -p*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/7632 and -5\/190848.\nAnswer: 30344832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -27463*((-130)\/(-32) - 4). Suppose 5881 = 4*j - 991. Let m = c + j. Calculate the common denominator of -65\/18 and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*v + 34, 29 = -1754*v + 1746*v + o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-5))\/(-1 - -2))\/(4480\/200)?\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698170368 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10c9 + 231?\nAnswer: -d98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-536)\/(-16) + -2)\/((-6)\/(-16)). Suppose 87*n - 6 = l*n. Solve -3 = 3*t - 2*d, t - n*d = -6*d - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 6*b + 4. Let i be v(5). Let q be 1797*i*(-5)\/15. Let y = -999 + q. What is y rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**3 - 4*h**3 - h**3 + (-3 + 1 + 1)*(-h - 2*h**3 + h) + (-5*h + 3*h + 4*h)*(-3*h - 11*h**2 + 3*h) in the form f*h + j*h**2 + a + t*h**3 and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19325 = 15*k - 9730. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4233043 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4256.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*p - 240 = 0, -8*p + 5*p + 480 = 4*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4041 or -109566?\nAnswer: -109566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {d: 8, w: 2, e: 2, l: 4, p: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 7*q - 4*q + 3*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 227*x - 4293. Calculate the lowest common multiple of j(19) and 2812.\nAnswer: 14060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/10 + 3144247*n**2\/5 - 9886289197009*n\/10.\nAnswer: -n*(n - 3144247)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((952\/(-280))\/(16\/20))\/(-4 - 62\/(-16)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -12074?\nAnswer: -12072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkrkrohlkkrrolkk. What is prob of picking 1 o and 1 h?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (11 + 8 + -15)) + -16 + 7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = -4*n. Let q(o) = -9 - 3*o**2 + 19 + 2*o**n + 11*o. Let s be q(11). Solve -s = -c - c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -212, -9\/2, -3\/7 in ascending order.\nAnswer: -212, -9\/2, -3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4636*s - 4620*s + 128 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**4 - 2 + 8508*d - 46*d**2 - d**3 + 8495*d + 0*d**4 - 16999*d in the form r + b*d**2 + a*d**4 + v*d**3 + y*d and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.07, -4 in descending order.\nAnswer: 0, -0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-13 + 14 + -15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, w: 3, o: 5, m: 3}. Give prob of sequence mmwm.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2205041 to the nearest integer?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 9*p**2 - p - 6. Suppose 33 = -6*f - 21. Let a be d(f). Suppose 0 = a*h + 2*h - 605. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/((sqrt(36)*2)\/sqrt(9) + sqrt(4)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004435 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -369905 - -801118. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 313075160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*b**2 + 6*b**2 - 7*b**2 + (-b + 2*b - 12*b)*(-2*b + 5*b + b).\nAnswer: -37*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 3322\nAnswer: -13288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8399299 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81.32353 - 0.03647. What is y rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 493136093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.8*0.922.\nAnswer: 9.0356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + o**2 - 3. Let q be h(0). Let t(w) = w**2 - 5*w - 10. Let s = 40 + 13. Calculate the remainder when s is divided by t(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*b - 3 + 3)*(b - b - 2*b) + 2 - b + 2*b**2 + b)*(2 + 3 - 6) as d + g*b**2 + v*b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d = 5. What is the tens digit of (-16)\/d*(0 + (-30)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**5 + 6099*b**4 - 233175*b**3 - 245379*b**2 + 233178*b + 239280 = 0?\nAnswer: -1, 1, 40, 1994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1400, 2798, 4198, 5600?\n\"Answer: a**2 + 1395*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 17*s**2 + 67*s - 41. Calculate l(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 15 - 7 = 0. Suppose 0 = -15*v + 8*v + 63. Solve v - 3 = o*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/204*(-96)\/(-72).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/25039 and 55\/1582651?\nAnswer: 808734661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from itrssiistttsitt.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76*5.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 341123 plus -1580?\nAnswer: 339543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 48 - q - 48. Let n(d) = 2*d**2 + 16*d. Give m(n(f)).\nAnswer: -2*f**2 - 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28416 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 2)*(7*t - 248 + 248) + 2*t + 0 + 0 + (1 + 3 - 5)*(-1 + 1 + 3*t) - 13*t + 10*t - 13*t as c + d*t and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 51\/102 - ((-2)\/4)\/(-1). What are the prime factors of (h - 1 - -11)\/((-8)\/(-112))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449655900 a multiple of 4432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 1. What is the remainder when n(6) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-28) + -17*1\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m - 18. Calculate x(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*a = 7950 - 476, 0 = -4*g - 4*a + 14968. Round g to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 3:03 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1773943*o**6 - o**2 + 4114*o + 48 wrt o?\nAnswer: -212873160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 123. Let o be (-1)\/(-5) + (-16746)\/l. Let c = 240 - o. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 27 = q, -13*p + 2*q - 36 = -16*p. Which is the third biggest value? (a) 0.3 (b) 0.15 (c) -3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 4*f + 14. Determine r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 24 = -6. What is the second derivative of -3*l**2 - l**2 - x*l + 7*l wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -6*o**4 + 1844*o**3 - 610*o**2 - 1228*o = 0.\nAnswer: -2\/3, 0, 1, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 6*k**2 - 4*k - 5. Let v(h) = -h**3 - 5*h**2 - 5*h - 3. Let p be v(-3). Let n be b(p). What is n rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1667594 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*c**5*l**2 + 4*c**5*l + 262*c**2*l + 2*c*l**2 wrt c?\nAnswer: 4500*c**2*l**2 + 240*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -273784 rounded to the nearest 100?\nAnswer: -273800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 245 + 171. What is the remainder when 67 is divided by 4\/z*12*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + i**2. Let o(v) = -9*v**3 + 7*v**2 - 5. Let r(a) = -3*o(a) + 21*w(a). Differentiate r(n) with respect to n.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6007 and 24745?\nAnswer: -14864.3215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8943\/10 - 894. Which is the biggest value? (a) g (b) -2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3*165\/165)\/(3*10\/(-45)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 646443, 646435, 646427, 646419?\nAnswer: 646411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/5 + 4*t\/5 + 2\/5 = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14345 - -14345.0000008772. Round g to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-4 + 3 - 2). Which is the smallest value? (a) -3 (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-80))\/((-24)\/100)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 n when three letters picked without replacement from {n: 5, e: 14}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -16 + (108 - 68) - (8 + -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 + g**2 - g - 1. Let n(u) = -18*u**3 - 5*u**2 + 4. Calculate n(h) + 4*v(h).\nAnswer: -10*h**3 - h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 84781 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*q - 10164 + 10174 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 8. Let b(l) = l**3 + 8*l - 3 - 3*l + 7*l**2 - 6 + 1. What is b(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a152 - b?\nAnswer: a143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/7 - 286110*j**3\/7.\nAnswer: -2*j**3*(j + 143055)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - ((-4 + 0)*-1 + -4). Solve 45 = -g*l + 25 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/(-6)*-2*(-524)\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6373 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -17. Suppose 0 = 4*t + 2*k - 80, q*t + k - 78 = -t. Calculate the remainder when t is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbbbybyyb. What is prob of sequence yyb?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7359 and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2484, -11201, -25684, -45933?\nAnswer: -71948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/(-888))\/(483\/414).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 579912, -1\/6, -1\/4 in descending order.\nAnswer: 579912, 26, -1\/6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/6*(-62)\/93?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -36*g + 806. Calculate the remainder when 16883 is divided by p(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -34. Which is the nearest to -1? (a) 1 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 1)\/(4\/2). Let o(a) = 3*a**3 - 7*a**2 + 4. Let f(p) = -p**3 + p**2 - 1. What is d*o(x) - 5*f(x)?\nAnswer: 2*x**3 + 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 25779730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1152.2 - 1154. Which is the second biggest value? (a) -9 (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 3 = s + q, 2*s - q - 21 = 0. Let z = -181 + 276. Suppose -2*d = -z - 113. Calculate the greatest common divisor of d and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*o**2 - 403*o**2 + 176*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + 41 = 20*i. Let q = 46 - i. Solve 4*v = -4, 2*v + 2*v = -q*j - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/3 - -2. Let m(x) be the first derivative of -h*x**3 - 1 + 0*x + 2\/5*x**5 + 0*x**2 + 0*x**4. Find the third derivative of m(t) wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*v = -1234, q = -7*v + 8*v + 623. What is the remainder when q is divided by 132?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t. Let b(k) = k + 4. Let o be b(-2). Suppose -o*y - 4 = 5*j + 1, -3*y + 3*j = -3. Solve y = v + 2 - t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 527 + -367. What is the highest common divisor of j and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 z when four letters picked without replacement from {s: 2, z: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 3*q - 5. Suppose 30 = -4*w + 6*w. Let h be (9\/(-2))\/(w\/20). Is m(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -4*b - 10, -8*b + 2*v + 18 = -11*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 944617578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12)*(-1278)\/9585.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j - 12. Let b(d) = 5*d + 31. Let y(g) = -3*b(g) - 7*t(g). Calculate y(15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -0.9, 4\/9, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 5*r**2 + 3*r - 4. Let x be f(-4). Suppose -4*s + 4*p + 40 = x, -5*p + 2 + 3 = 0. Let n = s + -4. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -2 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9956, 20151, 30896, 42467, 55140, 69191, 84896, 102531?\n\"Answer: 46*o**3 - o**2 + 9876*o + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 21*a**3\/4 + 17*a**2\/4 - 33*a\/4 - 9\/4.\nAnswer: (a - 1)*(a + 3)**2*(4*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 179*r**5*t + 2*r**3*t + 37*r**2*t + r**2 - 4 wrt r.\nAnswer: 10740*r**2*t + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461*q = 455*q + 2142. What is the remainder when q is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from nmdwhwhmhhnhnmwmwwn?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1462, -1459, -1446, -1417, -1366, -1287, -1174, -1021?\n\"Answer: l**3 - l**2 - l - 1461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.002 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 1 = s, 3*s + 1470 = -5*q + 1485 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101583739.\nAnswer: 409, 248371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2*k - 20, 5*v + 3*k + 3 = -v. Let d(s) be the second derivative of 1\/3*s**v + 39*s + 1\/2*s**2 + 0. Determine d(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 265211707 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1054645 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -338.7 * 3558\nAnswer: -1205094.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ele when three letters picked without replacement from {e: 5, l: 1, x: 1, q: 1, s: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 4*w**2 - 2*w + 3. Let u be z(-3). Suppose 0*a - a + 6 = u. Let q = -2 + a. Sort q, 0.3, 5 in increasing order.\nAnswer: 0.3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 335 = -6*x + 11*x, 2*x + 221 = 3*m. Calculate the remainder when m is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 5, -1, 103 in descending order.\nAnswer: 103, 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36.49 + -0.49. Let c = -35.6 + d. Which is smaller: -0.07 or c?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 580459.3 and -0.5.\nAnswer: 580458.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 1 - (-1 - 220) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8921804 millilitres to litres.\nAnswer: 0.0008921804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-15) + 0)\/((-6)\/15). Let q(k) = -k**3 + 6*k**2 + 7*k. Is q(s) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69696 and 4994154.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 19. Let u = s + 1.00196. Round u to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*p - 120*p = -34. Suppose p*w = 45*w - 693. What is the lowest common multiple of 21 and w?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 + -59. Let j = 11 + -367. Let t = j - -563. What is the remainder when t is divided by f?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1411 divided by 17\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*j = -22, 3*g + j - 3858 = -3865 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 1. Let u(x) = -5*x + 215. Let q(n) = -u(n) - 5*z(n). Find the first derivative of q(w) wrt w.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56*s - 153?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aebabbibvbibbbeeb. Give prob of picking 2 a, 1 v, and 1 i.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100 + 2396 = 72*p for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 12417.\nAnswer: -12416.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 + 88. Let i be 3\/a - (-4522)\/(-272). Do -12 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -516 + 522. Let i be r\/4 - (-105)\/42. Solve 4*k = i*s + 8, 0*s = 4*s + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1008, 1009, 1010, 1011, 1012?\n\"Answer: t + 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3527604 and 5280?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 5*b**3\/3 - 2645*b**2\/2 + 2640*b - 4912. Let j(t) = 0. What is t?\nAnswer: 1, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 - 3 - -1 - (-13 + 53 + -14)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82200 + 83536 - 165812 - 2*c.\nAnswer: -2*c - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = s. Let l(z) = 4 - 8*z**2 + s - 5*z**3 + 4*z**3. List the prime factors of l(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 54, 71?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33663187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + 1875a06?\nAnswer: 18759a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18969.\nAnswer: 3, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4576968 and 3456.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 - 14*i**4 - 9*i**4 + (0*i**3 - 4*i**3 - 3*i**3)*((1 + 3 - 5)*(2 - 2 - 3*i) + 1 + 5*i - 1).\nAnswer: -75*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44\/1255 - 10056776\/48945. Let u = -207 - o. What is the common denominator of u and -47\/15?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 2*v. Let n be z(-4). What is the units digit of (-6)\/n + (-30)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 654.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0*k**3 + 0*k - k**2 + 0 + 0*k**4 - 1\/30*k**5. Let h(p) = p**2 - 2*p**2 - p**2. Determine h(a(r)).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**6\/60 + 53*t**5\/60 + 29*t**4\/24 - 29*t**3\/3 + 2*t**2 - 3*t. Let m be h(27). Sort -3, 37, m.\nAnswer: m, -3, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((63\/2)\/(-7))\/((-114)\/304)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1438 + -1162. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 times -7.56?\nAnswer: 657.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, h: 1, s: 3, i: 10, f: 2}. Give prob of picking 1 s and 1 h.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 150 - 146. Suppose -4534740 = d*u + 5105260. Round u to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**30\/d*d)**(-3\/19)\/((d**0*d)\/d**38) assuming d is positive.\nAnswer: d**(613\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*q - 9. What is the units digit of (9 - -1)\/(q + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -7. Suppose 0 = -s - 3*d + 10, -t*s + s + 16 = 5*d. Let r(p) = 2*p + 1. Determine r(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 0. Let i = 4 + -23. What is the tens digit of (l - i\/4)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -124290*u. Let w(s) = -45*s - 1. Determine a(w(o)).\nAnswer: 5593050*o + 124290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4077*y - 1966*y + 2035*y + 5063*y + 712*y)*(3 - 1 - 1) to the form z*y + f and give z.\nAnswer: 9921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15\/7 + 11\/7. Let q = 117740 + -117720. Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 2*p + 4. Let j be y(0). Let h be (-2 + 4 - 2)\/2. Suppose 2*c + 2*f = h, -j*c = -f - f. Solve -5*u - 15 = 3*i, 0 = -c*u - 5*u - i - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxcx when four letters picked without replacement from kgqmmgmxxcgxk?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 484 + -2419\/5. Let m(p) be the second derivative of 0*p**3 + 0*p**5 + 1\/12*p**4 + 7*p + 0 + b*p**6 + 0*p**2. Find the third derivative of m(i) wrt i.\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -150486*r**3 + 840*r**2 + 105*r. Let n(m) = -2894*m**3 + 16*m**2 + 2*m. Calculate -105*n(j) + 2*y(j).\nAnswer: 2898*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -28*o**6\/15 + 70*o**3\/3 + 267*o + 71. Let k(y) be the first derivative of u(y). What is the second derivative of k(d) wrt d?\nAnswer: -672*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -3 (c) -3\/43 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 816 and 112.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/8, -311629, 5, 2 in descending order.\nAnswer: 5, 4, 2, 1\/8, -311629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**4*z**2 + 6482*p**3*z**3 - 10497*p**2*z**3 + 4*p**2*z**2 + z wrt p.\nAnswer: 24*p*z**2 + 38892*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 824 = 4*z + 736. Suppose -15 = -c + 39. What is the least common multiple of z and c?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, -36840, -16 in descending order.\nAnswer: -3, -6, -16, -36840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 153*l**3 - 11*l**2 + 38*l - 41. Let c(b) = 51*b**3 - 4*b**2 + 13*b - 13. Let f(h) = -11*c(h) + 4*g(h). Find the second derivative of f(w) wrt w.\nAnswer: 306*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22680043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133143\/16 - 8318. Find the common denominator of y and 93\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 237*d**2 - 198*d**2 + 302*d**2 + (4 - 2*d - 4)*(2 + d - 2) + d**2 - 4*d**2 - d**2.\nAnswer: 335*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -2)\/(0 - (-2)\/18). Let v be 21\/1 - (-2 - -4). Let k = v - p. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmswswjx. What is prob of picking 2 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 4*p - 4. Suppose 3*v = -k + 26, 1 = -3*k + p*k. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 15) to base 9\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(36)\/sqrt(4)) + sqrt(84) + (sqrt(84) - ((2*sqrt(84) - sqrt(84)) + sqrt(84))) + sqrt(84))\/(-6*1*(sqrt(7) - sqrt(112))*-2)*1.\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1666 - 3170?\nAnswer: -5056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-351)\/(-52)*(20\/15)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -474?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = y + 85. Solve -10 = -y*r - 3*m + 7, r + 2*m - 2 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55 + 46.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -195*j + 1192. Calculate the remainder when 134 is divided by q(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.39 (b) 5.5 (c) -1 (d) -2 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-234*z - 5290 - 286*z + 805*z - 5*z**2 - 280*z)*(3*z + 2*z**2 - 3*z) to the form x*z**4 + w*z**3 + h*z**2 + f*z + c and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, r: 4}. What is prob of picking 3 r and 1 j?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5*g - 6*g + 20, 4*g + 20 = 0. Let t be 4*-2*(-3)\/12. Suppose 0*d + 98 = m*c - t*d, 2*d = -3*c + 46. Are c and 52\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/3, 3\/29, -4\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2890 - -188604.47\nAnswer: 191494.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 0.163.\nAnswer: -2.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 8 + 16 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -184 - -128. Let m = c + 52. Put -4\/3, -2, -0.2, m in decreasing order.\nAnswer: -0.2, -4\/3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9718 - -5208. What is l rounded to the nearest 100?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161 + 161. Let l(p) be the third derivative of 1\/12*p**4 + 0*p**3 - 3*p**2 + 1\/60*p**5 + q*p - 1\/120*p**6 + 0. Factor l(a).\nAnswer: -a*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**2 + 1. Let j(l) = 5*l**2 - 5*l**2 - l**2 - 4*l**2. What is x(j(m))?\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28351428869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -30. Let s = 17 + g. Let a = s + -11. Is a less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9\/(2 + 1)*781\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-176)\/6*27\/(-12). Let p = w + -28. Let u = p - 33. Sort 1, u, 0, 3.\nAnswer: 0, 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7)*i)**46\/(((i**(2\/35)*i*i)\/i)\/i**20) assuming i is positive.\nAnswer: i**(2043\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/7 and -4\/21143.\nAnswer: 148001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431275804.\nAnswer: 2, 7, 1013, 50461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Suppose m*h - 16 = 6*h. Let c be (-22)\/h - 3\/6. Solve -25 = -c*u, q + 5*u - 2*u = 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1996 - 4?\nAnswer: -199a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330217673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006915 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/7580, -2\/13, 5, -0.3?\nAnswer: 3\/7580","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -11*v**2 + 728*v - 1483. Give b(64).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 2. Let y be w(7). Let n(l) = -l - 3. Let x be n(y). Solve -5*b + 15 = -x*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 86159 = -2*y + 86152, -5*h = -2*y + 29 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y. Let u(a) = 17*a + 18*a + 2*a**2 - 45*a. What is u(k(l))?\nAnswer: 8*l**2 + 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -76703, 0.3, 2, 4 in increasing order.\nAnswer: -76703, 0.3, 5\/3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**2 - 10*a - 14. Let g(x) = 2*x**2 + 3*x + 5. What is -11*g(d) - 4*k(d)?\nAnswer: -2*d**2 + 7*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 9:26 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 4896*g - 34321.\nAnswer: (g - 4903)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/13 + 116*s**4\/13 + 1288*s**3\/13 + 4788*s**2\/13 + 7290*s\/13 + 3672\/13 = 0?\nAnswer: -3, -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57.4272 + -0.1272. Round k to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -139?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8*g - 2. Let n be u(-2). Suppose n*c - 5*c = 1080. Is c a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 - 18*d**2 + 4*d - 3. Let m(u) = -2*u**3 + 17*u**2 - 3*u + 2. What is 3*f(j) + 4*m(j)?\nAnswer: j**3 + 14*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 7641 + 2937 = 0. Calculate the greatest common factor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 - -103. Let b = 71\/84 - 2\/21. What is the second smallest value in j, b, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133780 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*1\/56*6\/(-3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66013 and -208.\nAnswer: -13730704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 95 = 160. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (27\/((-3780)\/(-40)))\/(16\/266))\/(-2).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aviatiaiieieiiitita. Give prob of picking 1 e and 2 t.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/12 - 19*n**3\/6 - 35*n**2\/2 - 13690*n. Calculate q(-23).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 4, 1.614, 0, -2.5, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*q + 105 = -156*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -62*k**2 + 7*k + 3. Let h(f) = 92*f**2 - 11*f - 4. Determine -5*h(b) - 8*o(b).\nAnswer: 36*b**2 - b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/14166 and -31\/252.\nAnswer: 198324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3575*h - 3576*h - 10 = 2*w, 0 = 3*h - w - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -l + 23 + 134, 317 = 2*i + 3*l. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by -16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a704 + 6?\nAnswer: 1a70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*x**5 - 342*x**3 + 32*x**2 + 557*x - 87 wrt x.\nAnswer: -180*x**3 - 2052*x + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 11.3. Let f = 16.63 + -15.63. Put -0.5, f, h in descending order.\nAnswer: f, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87.4 + -26.4. Let w = 60.694 - z. What is w rounded to two decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4511\/4 - -4517\/4. What is the nearest to -4\/19 in -4, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 9 - 4)*(-5 + 24 - 11)*(4 - 4 - 3*a + (3 - 1 + 0)*(-3*a + a - a + (-4 - 2*a + 4)*(3 + 2 - 6))).\nAnswer: -320*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5218c (base 15) to base 5.\nAnswer: 31311412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + h - 3. Suppose 2*q - 3*p = -247, 0 = 3*q - p + 19 + 369. Let m = q + 134. Give b(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -24*p. Let t(f) = -6*f. Give j(t(c)).\nAnswer: 144*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.63 - -3.93. Let z = -1.3 - -2. Let x = d + z. Which is the third biggest value? (a) -2\/9 (b) x (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 337561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Suppose 0 = -z*h - 0*h + 24. What is the highest common factor of h and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 26*w - 70. Give v(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 768193511 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - y + y)*(-y + 0*y + 2*y) - 11*y**2 - 4*y**2 - y**2 + y**2 - 4*y**2 + y**2.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 3*s, -25*s + 30*s = 10 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5353 - -0.5353. What is the third biggest value in 1\/3, 4\/7, -1154, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16956 - 18494.2. Round v to the nearest ten.\nAnswer: -1540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1514533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 92092.85l?\nAnswer: 92092850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 30*m + 2686. Give f(-69).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 10. Suppose -o*r + 15 - 3 = 0. Suppose r*p - 15 = p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -125\nAnswer: 3\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10937 + -54682\/5. Put 0.3, 0.5, 5, g in descending order.\nAnswer: 5, g, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 - 15*x)*(3 - 1 + 0)*(-1 + 4 - 1 + (-3 + 0 + 0)*(2 - 1 + 0)).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 38\/7 of a week?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2 + 8. Suppose -22 = -n*h + 3. Suppose 2*b = -2*s - 0*s + 6, -1 = b + h*s. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 163551, 327104, 490657, 654210, 817763?\n\"Answer: 163553*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b - 25 = 0. Suppose -h + 21 = -3*q - q, 45 = -b*q + 5*h. What is the common denominator of -97\/2 and (-186)\/q*(-4)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 342848004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*u + r, -u + 0*u - 5 = 2*r. Let x = u - -3. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111972052 to the nearest integer?\nAnswer: 10582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19272400 to the nearest integer?\nAnswer: 4390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 47*z**2 - 48*z + 1743. Calculate f(24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 784487082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/(-1144) + 10\/(-13))*-19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4\/11*f + 2\/11*f**2 + 0 + 2\/11*f**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 1:59 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 - 21*o + 10. Let t(i) = -i**2 - 35*i + 206. Let b be t(5). Determine s(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -86 + 0?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, -77 in decreasing order.\nAnswer: 4, -9, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31)\/186*(-16)\/(-4). Let h = 3 - 2. Let w = h + -2. Which is bigger: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**6 + b**5\/20 - 31*b**4\/3 + 9*b + 130. Let t(i) be the first derivative of o(i). Find the third derivative of t(c) wrt c.\nAnswer: 720*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 9*d + 6. What is the remainder when d is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 944 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + 14. Let z be (3 + -4)\/((-3)\/t). Solve 0 = -4*w + 2*o - z*o + 21, 7 = 3*w + 2*o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -120038 (base 9) to base 4\nAnswer: -101220032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18544 is divided by 81.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 96167193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 9:07 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tucctttcttmtattmu. What is prob of sequence amu?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 6*t + 2. Suppose 21 = 5*w + 4*p, -w - p - p + 9 = 0. Let q(o) = -o**3 + 4*o**2 - 5. Let d be q(4). Let n(i) = i. What is d*n(k) + w*j(k)?\nAnswer: k**3 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - -186 - 0\/(-5). Is 4\/(-22) - (-122145)\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 6 = 5*p. Let t(f) be the third derivative of f**4\/12 - 3*f**3\/2 - 6*f**2. Let m be t(p). Solve m = 3*g - 6*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)\/d)\/d*d)**(4\/3)\/(d**(-2\/5)\/d)**21 assuming d is positive.\nAnswer: d**(1283\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*b - 17*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3474605 or 3474607?\nAnswer: 3474605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 803*g**3*m**2 - 8*g**3 - 6666*m**2 wrt g.\nAnswer: 2409*g**2*m**2 - 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10*(-25)\/35?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 6. Let d = a + 4. Let g = d - -1. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvtt when four letters picked without replacement from tvtrrhvrvqrt?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3369864?\nAnswer: 2, 3, 140411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*(-8)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4*14.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/((c\/(c*c**(-8)*c*c))\/c)*c**(-7)\/c**(-7))\/((c\/(c*c*(c**(-4)\/c*c*c*c)\/c))**(-42))**(31\/5) assuming c is positive.\nAnswer: c**(2569\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 6. Suppose 3*g = g + 12. Let n be r(g). Let f(u) = u + 4. Let m be f(4). What is the greatest common factor of n and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let s = v - 7. Suppose -4*r - 14 = 2. Sort r, s, 5 in descending order.\nAnswer: 5, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 834 + -842. Let z = -7 + 8. Let y(i) = -6*i**3 - 12*i**2 + 8*i + 8. Let j(v) = -v**3 - v**2 + v + 1. Determine w*j(s) + z*y(s).\nAnswer: 2*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10001110111101101000 (base 2) to base 7\nAnswer: -4656135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*k - 78*k + 78*k - 68 + 163*k.\nAnswer: 220*k - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 18*a - 25. Let f be o(5). Let x = 75 - f. Solve 4*s + 2*v = -18, -5*s - x = -2*v + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 6*t - 10. Let u be h(4). Let w(g) = -15*g - 2. Let f(p) = 8*p + 1. Let q(z) = 5*f(z) + 3*w(z). What is the units digit of q(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c = 3460. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/3 and 35\/34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*y - 13*y - 20*y - 385 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from nndddnddnnnn?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*i - 20 = 2*i, -3*i + 44 = -4*x. Is 42 a factor of (-40)\/x + (122 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.969 - -3.031. What is the fourth biggest value in -1\/2, 1, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -27*f + 165. What is l(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 134*n + 1078. Calculate k(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*-1 + 5.\nAnswer: -8*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 5) + 0 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/(-6))\/(1\/(-15)). What is the greatest common divisor of 25 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-23)*o))\/o*o*(o**(-18)\/o)\/o*o**(2\/17)\/(o**(-11\/6)\/o*o) assuming o is positive.\nAnswer: o**(505\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1807326529?\nAnswer: 79, 22877551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o**2 + 4*o**2 + 22 + o**3 - 6*o**2 - 9*o. Suppose -50 = -30*b + 220. What is the remainder when t(b) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75335 is divided by 2033.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.5, 9, 342, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {v: 8, x: 1, f: 2, a: 1, t: 2}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {t: 1, z: 6, l: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*l)*(3 - 3 + 2)*(-7 + 3*l + 6 - 3).\nAnswer: -12*l**2 + 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10476, 21393, 32312, 43233, 54156?\n\"Answer: y**2 + 10914*y - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211 + -20?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/((-105)\/3))\/((-7)\/2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-10) + (-48)\/(-32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/6 and 17\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*u + 7*u - 52 = 0, 46 = -3*h - 5*u. Is 29 a factor of 3\/4 + (0 - 1731\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c**2 + 2*c**2 + 32 + 16*c + 6*c**2 - 6*c**2 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86514138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*h - 3*c, 3*h - c = -0*c - 1. Suppose 3*t + 2*t - 15 = h. Suppose k = -t*k + 76. Is k 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 -1102621, -2205231, -3307841?\nAnswer: -4410451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1158*h + 606*h - 2846*h as g + u*h and give u.\nAnswer: -1082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1.007. Let q = -0.393 - i. What is the closest to 0 in q, -3, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -452.7 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 - u**2 - 10*u**2. Let l(h) be the third derivative of -h**5\/20 - 3*h**2 - 5*h. Give l(b(k)).\nAnswer: -507*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Suppose -1 = -4*b + t. Suppose 4*g = b + 7. Solve 4*j + 2 = -g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120 + 221. Calculate the remainder when u is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**2 + 35 - 3*f - 41 - f**3 + 4*f**3.\nAnswer: 3*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0289? (a) 0.2 (b) 5\/26 (c) -22.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 11 - 4. What is the third derivative of 1325*m**4 - 71*m**v + 2*m**2 - 1325*m**4 - 161 wrt m?\nAnswer: -4260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -5*s + 25, -2*s = 2*p + 369 - 391 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.6294 micrograms in grams?\nAnswer: 0.0000526294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235b18 (base 12) to base 2.\nAnswer: 10001011001100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.7. What is the second biggest value in -2\/7, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 890, 889, 888, 887?\n\"Answer: -x + 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x\/(x\/((x*x**(-1\/2))\/x))))))\/(x*x**(-2\/17)*x))**(-3\/17)\/((x*x\/(x\/x**(-5))*x\/x**(-6)*x)\/(x**1)**(-12)) assuming x is positive.\nAnswer: x**(-9209\/578)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 6 = t, g + t + 6 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q - 10*q - 7*q. Let b(n) = -9*n**2 + 2*n + 24. Let k(f) = -155*f**2 + 35*f + 420. Let z(v) = 35*b(v) - 2*k(v). Determine d(z(s)).\nAnswer: 100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**2 + 4*o**2 + 106*o - 98*o + 4. Let a(t) = -t**3 - 9*t**2 + 22*t + 11. Let z(w) = -6*a(w) + 17*x(w). Determine z(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*b - 1167 = 89*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 29*o = 32*o - 19, 2*d - 4*o + 28 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 2:16 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.34 + 0.12?\nAnswer: -23.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -0*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 5*s. Suppose -71 = -3*u + r, -3*u + 27 = -2*u + s*r. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 36 - 5 + s**3.\nAnswer: s**3 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, f: 5, r: 5, h: 2}. Give prob of sequence rhk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -26*v + 87748*v**2 - 43876*v**2 - 43873*v**2 - 137. Determine j(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-2)\/(-27) + 87\/27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 24*p + 56. What is j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 48*v - 185. Solve 5*c + 37 = -4*h, 2*c - 6*h + v*h = -7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 21 - (-2 + -17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 - 2*t**3\/3 - 7*t**2\/3 + 20*t\/3 - 4.\nAnswer: (t - 2)**2*(t - 1)*(t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-807)\/(-538) - (0 + 5121\/(-6)). Calculate the highest common factor of 893 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -1088\/3 + 1\/3*t**5 - 449\/3*t**2 + 271\/3*t**3 - 1840\/3*t - 31\/3*t**4 = 0. Calculate t.\nAnswer: -1, 8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(200) + (sqrt(200)*2)**2 - sqrt(200)) - 2*sqrt(2)*-5.\nAnswer: 11*sqrt(2) + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2 - 9*i - 11. Let q(o) = o**2 + o + 1. Let d(v) = -n(v) - 4*q(v). Let h be d(6). Is 1 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 0.11.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (148*g - 118494 + 148*g + 898*g**2 + 118609 - 296*g)*(5 - 5 + 2) as c*g**2 + w + j*g and give w.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 30000?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -58.2. Let h = 6.5 - u. Which is the third smallest value? (a) -3 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:37 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.8183607 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 2. Calculate the remainder when 10 is divided by t(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:49 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -296, -282, -250, -194, -108, 14, 178?\n\"Answer: l**3 + 3*l**2 - 2*l - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 99*c + 2027. Let p be q(29). Put 1, 3, -1, -14, p in descending order.\nAnswer: 3, 1, -1, p, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550*m**2 - 3265*m**2 + 548*m**2 + 547*m**2 + 541*m**2 + 544*m**2 + 542*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085752 is divided by 3770.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Let w(g) be the second derivative of 0 + 3*g + 1\/2*g**3 + 0*g**2. What is x(w(v))?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2134545.6 to the nearest 1000.\nAnswer: -2135000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:59 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-3) - (3 + -2). Let l(a) = -a**2 - 4*a + 1. Calculate the smallest common multiple of l(c) and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26306194337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/18 + 86\/18. Let f(b) be the third derivative of -5*b**4\/24 + 2*b**3\/3 + 22734*b**2. Calculate f(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 4*l + 262 - 238, 0 = 3*l - 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -33, -109, -267, -537, -949?\nAnswer: -1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 14*j - 2*j. Suppose 57 = z - 3*m, -2*m + 105 = 2*z - j*m. What is the smallest common multiple of z and 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 45*j - 29 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 585\/31, -2, 494?\nAnswer: 585\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1774 + 1781. Let w(g) be the third derivative of -1\/168*g**8 - 1\/21*g**v + 8*g**2 - 5\/12*g**4 + 0 - 1\/6*g**6 + 0*g - 1\/3*g**5 - 1\/3*g**3. Factor w(t).\nAnswer: -2*(t + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 1. Let o be c(2). Suppose -2*w = -21 + o. Calculate the remainder when (12\/15)\/((-12)\/(-510)) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 347.671 times 8\nAnswer: 2781.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 7*j + 5. Let n be h(-6). Is 8\/(-2) - (-13 - n) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 + 10*z**2 + 29*z**2)*(-4 + 0 - 5 - 1) in the form m*z**2 + j*z + c and give m.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-942602.\nAnswer: 18852040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 - 51. Let t = h + -13. Suppose -a + 32 + t = 5*u, -5*u + 85 = 2*a. Calculate the greatest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9701 - 9603. Calculate the least common multiple of 196 and s.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 2 + 0 + 1. Let t(u) = m + u + 1 + 0 + 0*u. Let o be t(5). What is the greatest common divisor of 42 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -866\/4521 - -4\/411. Which is the biggest value? (a) -74 (b) v (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1076\/3 or -358?\nAnswer: -1076\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41278600?\nAnswer: 2, 5, 11, 29, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*y - 2*y + 9, -3*y - 5*h + 19 = 0. Suppose -28 = -3*p + p. Solve v - p = 5*t - 2, y*v - 4*t = 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.479613 + -0.005287. What is n rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 480308.1 micrometers?\nAnswer: 0.0004803081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 12310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 4720359?\nAnswer: -4720360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0.6. Suppose -41*g = -51*g - 50. Which is the closest to -2\/9? (a) 1\/5 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y. Let h = -27 + 29. Let a(w) = -8*w**2 + h*w**2 - 3*w**2. Give d(a(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 6*o**2 + 2*o - 16. Let q be l(-8). Suppose -6*f + q = -0*f. What is the lowest common multiple of 30 and f?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2049726683?\nAnswer: 2049726683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -12, 2*w - 2*i - 20 = -36 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 + 0*m**4 - 2*m**4)*(-103*m + 4 + 0 + 105*m).\nAnswer: -4*m**5 - 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5448751 millilitres in litres?\nAnswer: 0.0005448751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-8)*(-4)\/(-2).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/8, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23, -14\/17, -2, 5.19?\nAnswer: 5.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-651)\/(-1519) + (-119256)\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -497 (base 10) to base 8.\nAnswer: -761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/3*-32*10\/240?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 8 + 6 - 10. Let z be y(11). Let b(w) = -w + 1. Let l be b(z). Solve 4*i = l*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -1101411032?\nAnswer: 1101411033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -1, -2 in increasing order.\nAnswer: -116, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 82 = -2*r, 85 = 2*r + r + 2*q. Suppose -2*l = -r - 5. Calculate the remainder when 47 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 3 + 15)*(16 + 1 - 3 + v).\nAnswer: 55*v + 770","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 772311709, 772311707, 772311705, 772311703, 772311701?\nAnswer: 772311699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160449 and 1671513.\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79\/6)\/(252\/9 - (-70135)\/(-2490))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (144\/(-240))\/((-27)\/15 + 2). Let f(m) = 15*m**2 - 20. Let l(w) = 2*w**2 - 3. Determine n*f(p) + 20*l(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2586473*t + 784267 wrt t?\nAnswer: -2586473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 33394 = -41000. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = 4. Suppose -4*q - b*x + 414 = 0, 5*q - 137 - 388 = -5*x. Let w be 9\/(-42)*(-4)\/3. Are q and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 972 + 484. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*t + 57, 26 = 2*z - 4*t + 2*t. What is the smallest common multiple of 96 and z?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w*w**(-6\/11))\/(((w**(-3\/4)*w)\/w)\/(w*w**(-1)*w*w)) assuming w is positive.\nAnswer: w**(97\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 30*w + 1. Let g(z) = -20*z - 1. Let h be 2\/(112\/(-24)) - 46\/7 - -15. Give h*g(p) + 5*n(p).\nAnswer: -10*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**4\/12 + 9*t**2. Let r(q) = q. Give r(m(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.52*-1.\nAnswer: -12.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 4) to base 7\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.0057?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 14. Let y(f) = 5795*f. Calculate l(y(u)).\nAnswer: -33582025*u**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 7910550?\nAnswer: 2\/3955275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 11. Calculate the lowest common multiple of 9 and l\/33 - 4\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 - -493. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -15 - (5 - 10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6343 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w - 1. Let a = 1 - 2. Determine b(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*p**3\/3 + 240*p**2 - 335*p\/3 - 140.\nAnswer: 5*(p - 1)*(p + 21)*(7*p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -151? (a) -1 (b) 0.3 (c) -0.19 (d) 2\/7 (e) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8598, -17197, -25808, -34437, -43090, -51773?\n\"Answer: -y**3 - 8592*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/13)*i*i)\/(i*i*i*i**(7\/4)))\/(i**3)**(-4\/7) assuming i is positive.\nAnswer: i**(-433\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-12)\/22*-4. Let z(c) = -23*c - 19. Let t be z(-2). Let x be 2 + t\/(-15) + (-32)\/60. What is the third smallest value in -4, w, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 8, -41 = 2*l - b - 11. Let m = -10 - l. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726507?\nAnswer: 3, 89, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2641 (base 12) to base 16.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40342949 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0, 11, 0.2, -35, 5.5.\nAnswer: -35, -0.4, 0, 0.2, 5.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 8*l - 7. Let t be n(-9). Let i be -3 - 76\/(-8)*t. What is the greatest common factor of i and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w + 9*w - 43545*w**3 + 43542*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2795620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 11*y**2 + 19*y - 18. What are the prime factors of z(12)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rurrrururruurruu. Give prob of sequence urr.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -687*x + 5740 + 20366 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let s be b(-12). Suppose 4*t - s = -0. Suppose -5 = -t*z + 4. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 7*j + 3*j)*(50 + 49 + j**2 + 6).\nAnswer: 8*j**3 + 840*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 201, 245?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.71 - 0.41. Let r = 0 - 3. Let u = -2.8 - r. What is the closest to 1 in 0, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t)\/t*t\/t**(-2\/3))\/(t*t*t**(1\/3)*t*t)**(-3\/13) assuming t is positive.\nAnswer: t**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*y = 508*y + 253 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) + 32166\/27. Suppose w = 3*j - 203. Let h be j*(-1 + (-51)\/9). Round h to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -18. What is the lowest common multiple of 16 and z?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 362, -0.4 in ascending order.\nAnswer: -0.4, -0.1, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2*(-58)\/464*12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 26592854846\nAnswer: -26592854845.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-57)\/(-15) - 1 - (-77)\/385. Solve -3*s - 3*l + 24 = 0, -s + l = -1 + p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3073 - 3075. What is the second biggest value in -1, f, 717, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/5)*o))**26\/((o*o**(-22))\/(o*(o*o*o**13*o)\/o)) assuming o is positive.\nAnswer: o**(237\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/36 and 47\/110.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1239 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-816)\/(-18) + (-2)\/6. Let v be (a\/(-36))\/((-2)\/24). Let h(s) = -166*s - 1. Let d be h(-1). Calculate the greatest common divisor of v and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 27*o**2 - 21*o + 9*o - 20*o**3 + o**2.\nAnswer: 4*o*(o - 3)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -13*g**8\/168 - 4*g**4\/3 - 20*g**2. Find the second derivative of f(d) wrt d.\nAnswer: -520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 20. Suppose 10 = 6*p - v. Let c = -135 - -137. Solve -5*i = -5*d, 0*d - p*i - 18 = c*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2101*o + 2101*o + 343*o**2.\nAnswer: 343*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 5*s + 2. Calculate the lowest common multiple of k(6) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-3\/11)*h)*h)\/h**(-3))**(-37)\/((h**(2\/3)\/h)**8\/(h\/(h\/h**(2\/7)))**(6\/5)) assuming h is positive.\nAnswer: h**(-113074\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6 - 6 - 185000*s. Let n be m(-4). Round n to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 18885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 5*n - 145, -10*h + 467*n - 58 = 469*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u + 17 + 22 - 39. Let s(p) = -3*p**2 - 3*p**2 + 4*p**2. Determine c(s(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14230023 (base 5) to base 8\nAnswer: -442433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 186\/11*r - 18\/11*r**3 + 90\/11 - 258\/11*r**2 = 0.\nAnswer: -15, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4731 and 160.\nAnswer: 756960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39610499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f - 279*f**3 + 2 - 5*f + 269*f**3 - 3*f**2 as v*f**3 + h*f + p*f**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuwvuuiiwvwe. Give prob of picking 2 i and 1 u.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43045460 divided by -4?\nAnswer: -10761365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.7134 and 0.01.\nAnswer: 0.027134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 492503 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 value of 20 - (-104)\/(-7) - (-16)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118624 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24126 and -0.1032.\nAnswer: 2489.8032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 32, 44, 72, 122, 200?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 8, f: 3, q: 1, y: 4, m: 1}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851503784 is divided by 3769?\nAnswer: 3766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (494\/76)\/(481\/9250)\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -366744, -366741, -366738, -366735, -366732, -366729?\n\"Answer: 3*s - 366747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 8*v**2 + 28*v - 132. Calculate the remainder when 117 is divided by u(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 100 = 3*d, -d = -2*w + 25 + 14. Which is the smallest value? (a) -2 (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 479450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 239*l**6\/30 - 542*l**3\/3 - 721*l + 2. What is the second derivative of v(f) wrt f?\nAnswer: 2868*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*y - 934, 47*y - q = 43*y - 1846. Is -6018\/13 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 4:42 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -155834*l*v**3 - 263*l + 49241*v**3 - 2*v**2 + 87*v + 6 wrt l?\nAnswer: -155834*v**3 - 263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11120391.45ns?\nAnswer: 0.000000018386890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3210239, 3210245, 3210253, 3210263, 3210275, 3210289, 3210305?\n\"Answer: b**2 + 3*b + 3210235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1.6 (b) -1\/6 (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/2 - 319*v**2\/2 + 25599*v\/2 - 25281\/2 = 0 for v.\nAnswer: 1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -55439.\nAnswer: -166317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -302 - -474.5. Let b = x + -210. What is b rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j. Let b(t) = -148*t**2. Determine b(c(l)).\nAnswer: -1332*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/(-2)*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64503912?\nAnswer: 2, 3, 11, 244333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 1 - 1 + (3 - 2 - 2)*(0*m + 2*m + m) + m - 2*m + 0*m - 6*m + 8*m + 0*m + (-2*m + 3*m - 3*m)*(4 - 1 - 1).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -22 + 12 + 0 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-16) + (-165022)\/(-208) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**2*w**2 - 415165*q**2*w*z**2 - 16077*q*w**2*z**2 + q*w*z**2 + 2*w**2*z**2 wrt q.\nAnswer: -2*w**2 - 830330*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -2\/9 (c) 5 (d) -2\/2472675\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30373010 equal to 30373009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 2 + 2)*(2*z + 0*z - z) + 2*z**2 - 6*z**2 - 2*z**2 - 18 - 3 + 751*z**2 - 750*z**2 in the form m*z**2 + n*z + u and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -4. Let x be o\/(-1*3\/3). Suppose x*m - 17 = -5*k, -5*m + 3*m + 2 = 2*k. Solve 3*n - 30 = -0*n + k*l, -12 = 4*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = w. Suppose 3*z + w*p + 22 = 0, -4*z + 5*p + 27 = -2*z. Let u be 5\/1*12\/(-15). Which is the second smallest value? (a) 5 (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -1.1716\nAnswer: -0.023432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57151 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 124489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -18869\nAnswer: -3\/18869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 20 = -3*o, -10*b + 5*o - 10 = -5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 229629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101 or 0.082036?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 a when four letters picked without replacement from {q: 5, a: 9}.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 15*c - 13*c + 10 = 0, 25 = 2*g - 5*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*i - 4*d + 69, -2*d + 10 = 0. Suppose 4*j - 22 = i. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2538788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4\/4 + 3*l**3 - 2*l**2 + l - 12. Suppose -h + 16 = -3*h. Is q(h) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 5\/2) + 0. Let k = -168.7 + 169. Let r = -0.01 - 1.99. Which is the nearest to s? (a) k (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 13 = 3. Suppose 257*m = 251*m + 18. Let o(v) = -2*v**3 + v**2 - 1. Let w be o(0). Sort w, y, m in descending order.\nAnswer: m, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49643945*l*u**3 - 4*u**3 + 4320611 wrt l?\nAnswer: -49643945*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/2)*h*(((h**(-1)\/h)\/h)\/h*h*h)\/h*((h**1\/h*h*h)\/h*h)**(-38\/3))\/((h**(2\/3))**(-1\/2)\/(h**(2\/3)\/(h\/((h*h**4\/h*h)\/h)*h))) assuming h is positive.\nAnswer: h**(-143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8489742972?\nAnswer: 2, 3, 157, 4506233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4.02. Let h = -0.16 - -0.01. Let x = h - 0.85. Which is smaller: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w**3 - 150920*w**2 + 964352*w - 1542144 = 0. Calculate w.\nAnswer: 16\/5, 3012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -30 (b) -3\/4 (c) 3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (84\/(-39 - -11) + -18 - -6*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufurfffur. Give prob of sequence uur.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, l: 3}. What is prob of sequence gl?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*-1 - 0)\/(40\/(-60)). Suppose n + 2*f - 9 = 1, -30 = -n + i*f. Calculate the smallest common multiple of 112 and n.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3340 - -1001?\nAnswer: -2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, t: 2, k: 1, l: 1}. Give prob of sequence tklt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -2*d**5\/45 - d**4\/6 - 2*d**3\/27 + d**2\/3 + 4*d\/9 - 57. Solve x(u) = 0 for u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 144*z**2 - 12*z - 4. Let m(f) = 2*f + 1. Determine -6*m(w) - y(w).\nAnswer: -144*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9711620 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 19909 + 12*j + 19902 - j**2. Give z(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -11 + (8 - -13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -42. Solve 0 = -2*f - 5*s + 17, h = -2*f + s + 1 - 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*c**3 + 3*c - c - 5 + 3 + 15*c**3 to f*c**2 + h*c**3 + r + v*c and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*y - 166, -3*n - 2 = 10. Let j = y - -45. Let f = j + -1. Calculate the highest common divisor of 42 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*a + a - 3*n, -5*a = 4*n + 24. Let m be (-2)\/a + 21\/70*25. Solve 5*x - m - 12 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + (sqrt(28) + sqrt(1008) - sqrt(28) - sqrt(28)) - sqrt(7)) + 3 + (2*(sqrt(7) + 0) - sqrt(56)\/(-2*sqrt(8))))**2.\nAnswer: 81*sqrt(7) + 5139\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136381.23 rounded to the nearest one hundred?\nAnswer: 1136400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.0062796 rounded to zero decimal places?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, b: 2, j: 2}. What is prob of picking 1 b and 1 j?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 595 divided by -3.\nAnswer: -595\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a micrometer in nanometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let c(w) = -w**3 - 22*w**2 - 18*w + 60. Let x be c(-21). Let h(y) = 5*y**2 - 3*y. What is x*n(k) + h(k)?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/42 and -23\/10479.\nAnswer: 20958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -322d2c?\nAnswer: 322d28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y + 3. Let l(m) = -4*m - 2. Determine 10*l(g) + 6*v(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 18236.\nAnswer: -3\/9118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Suppose -5*s = -30 + 10. Suppose s*r + v = -8, r - 2 = -r + v. Let n(x) = -5*x + 2. Determine r*n(m) - 6*t(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141 + 175. What is the smallest value in o, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 272, 311, 412, 605, 920, 1387?\n\"Answer: 5*w**3 + w**2 + w + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63801574, -127603146, -191404720, -255206296, -319007874, -382809454?\nAnswer: -446611036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 + 3*q**2 + 2*q**2 - 9*q**2 + 9*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -f + 2. Let r = f - -31. Let d be (-1 + -1)*6\/r. Which is smaller: -3 or d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(1960) + sqrt(1960))\/sqrt(8) - (sqrt(20) + 1)*-5) + -1)**2.\nAnswer: 192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5325089?\nAnswer: 7, 11, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 180530 to the power of 1\/2, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p = -456, 142*y = 143*y + 110*p - 111*p - 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11*x - 106. Let z be h(12). Let r be 18*(3 - 12\/(-9)). Suppose s = -2*s + r. What is the highest common factor of s and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.35 + 13.25. Which is the second smallest value? (a) 5 (b) -2 (c) -1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 + 593 - 104*a**3 - 443.\nAnswer: -104*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z + 118. Let n be p(-20). Suppose 0 = 3*u + 6 + 3. Let m be 4 + (u - -4) + n. Let v(g) = -g - 4. Let k(w) = -2*w - 9. Determine m*k(s) - 7*v(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3 + 15 = -0*g, -5*t + 2 = 2*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -14eb?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -1\/12*w**4 + 1\/60*w**6 - 1\/105*w**7 + 1\/30*w**5 + 0 + 0*w - 5*w**2 + 0*w**3. Determine p, given that y(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + (-2 + (sqrt(176)*4)**2 + sqrt(176) + (5 + sqrt(176))**2*-3)*1.\nAnswer: -116*sqrt(11) + 2218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + c - 4*c + 6, 8 = 4*c. Solve -2*n - 18 = -2*m, x = -3*m - 4*n + 1 - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23577 greater than -23655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.19 + -1.09. Let v = g - 3.1. Let i(f) = -f**2 - f + 27. Let n be i(5). Sort n, v, -2\/3.\nAnswer: v, n, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 14) in base 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -371 - -366. Sort d, 8\/9, -0.2.\nAnswer: d, -0.2, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29478345.\nAnswer: 3, 5, 13, 151171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 5*u + 5. Let f be g(-5). Is 37\/f*10\/(-4)*-6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Let b be z + -4 + 0 + 2. Let v(t) = t. Let a(q) = 3*q + 7. Let k(r) = a(r) - 4*v(r). What is k(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -783 or -770?\nAnswer: -783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/19 in 2\/5, 2, -0.2, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/38 + (-1581)\/(-323)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204055 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2203 and 382176440?\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**8\/112 - 5*l**7\/42 + l**4\/8 - 152*l**3\/3 - 2264*l**2. What is the second derivative of t(x) wrt x?\nAnswer: -60*x**3 - 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174750 a multiple of 1270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/1010 in -152, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 491805183 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -2. Suppose -16*r + 11*r + d = 0. What is the third derivative of -17*x**2 + 2*x**r - 14*x**3 - 13*x**2 wrt x?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*b + 41 + 45 + 33 - 158*b - 121.\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*c, -3*c + c - 194 = -4*o. Suppose o + 57 = 6*v. Calculate the smallest common multiple of 10 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*t**3 - 9*t**2 + 6*t**2 + 11*t**2 + 6*t**2 wrt t.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 52 - 56 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 329968 divided by -3?\nAnswer: -329968\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27862528 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (sqrt(22)\/(sqrt(11) - (sqrt(176) - sqrt(11)))*3*6 - ((5 + -1*sqrt(2))**2 + sqrt(504)\/sqrt(7)))).\nAnswer: -48 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -1\/12, -0.1 in descending order.\nAnswer: 0, -1\/12, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 30. Let h = -34 + d. Let w(z) = -z**2 + 6*z - 1. Determine w(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/171*3 + 0\/2\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/12*1)\/((-15)\/(-60)). Factor t*p + 2\/3*p**5 - 4\/3*p**3 + 4\/3*p**2 - 2\/3 - 2\/3*p**4.\nAnswer: 2*(p - 1)**3*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 21690?\nAnswer: 4338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 275\/14, -9, 109 in ascending order.\nAnswer: -9, 275\/14, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w\/(w\/(w\/(w*(w*w*w\/(w*w*w*w**1)*w*w*w)\/w)))))\/w))**(1\/22)\/(w**1\/(w\/w**(-3)))*(w*w**(1\/2))**(-4\/15)*w**0\/(w**6*w*w) assuming w is positive.\nAnswer: w**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -82. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36648 divided by 4581.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y**2 + 20*y + 1056.\nAnswer: -(y - 12)*(9*y + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 653491, -1\/4, -1\/13?\nAnswer: 653491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhiiikfhhnhidhhdhnki. What is prob of sequence hn?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1.6 (b) 1.2 (c) 16536\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -19*o**5\/20 - 11*o**3\/3 - 3*o. Find the second derivative of k(m) wrt m.\nAnswer: -114*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -372 - -375. Let q be (51 - 1)\/((-9)\/(-18)). Suppose 7*f - q = -z*f. Solve r = -r + f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2194*v + 2193*v - 5*r = -16, 2*r = -5*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 11) in base 16?\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12536118*y**2 + 40221472.\nAnswer: -25072236*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49227 is divided by 2161.\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1059594173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -612*d**2 + 356?\nAnswer: -1224*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 6 + (3 - 3 - 2)*(5 - 2 - 5) - 1 + 2 + 1)*(-2*b**2 + 2*b**2 - 3*b**2).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/(-51)*27\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**3*z**2 - 93*j**3 + 2*j**2 + 246*z**2 wrt j?\nAnswer: -18*z**2 - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10852, 4, 6.\nAnswer: -10852, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**3 + 110*m**2 + 3*m + 578. Let z(k) = 3*k**3 - 45*k**2 - k - 231. Calculate 9*d(b) + 22*z(b).\nAnswer: 3*b**3 + 5*b + 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4 + 5*c**3 + 6*c**2 = 0. Calculate c.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 13 (b) -1153935 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*j**2 - j**2 + 0*j**2)*(-8*j**2 - 16*j + 16*j) - 7*j**4 - j**4 - 2*j**4 + (-j + 1 - 1)*(2*j**3 - j**3 - 2*j**3))*(-2 + 2 + 3*j).\nAnswer: -99*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-5) - 4\/10. Suppose 3*b - q = 11. Let h = 1 + b. Solve -4*v = o - 7, 4*o + 0*v - h*v + 35 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*q = 108, 5*y - q - 251 - 321 = 0. Suppose -106 + 34 = -2*i. What is the remainder when i is divided by (1\/(-3))\/((-2)\/y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 d when three letters picked without replacement from hhdsstssd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8017295 and 2145.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxxxzxdzxxxdxx. Give prob of sequence xzdz.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 17*h + 0 + 3 + 4.\nAnswer: -17*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2854010293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6209369095 to the nearest integer?\nAnswer: 78800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(0*j + 0*j + 2*j) - 2*j + 4*j + j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 6*n + 3. Let b = 134 + -126. Suppose -13*u - b = -15*u. What is s(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 55944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -2\/85, -73717?\nAnswer: -73717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1558 + 1559 - (-5 + 5 + -1 - (-1 + 108)).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + d - 2*d + (2*d - 5*d + 4*d)*(7 + 1 - 3) - 1 + 2*d + 1)*(2*d + 2 - 2).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56, -61, -66, -71, -76?\n\"Answer: -5*u - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from {d: 2, f: 2, u: 1, y: 6, v: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16.1 (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 11. Let b be a(9). Suppose b*o + o = -6180. Round o to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 (base 12) to base 11\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 4:28 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(7\/3))**(-1\/39) assuming x is positive.\nAnswer: x**(-7\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.6 + -1.4. Which is the closest to 1? (a) -0.2 (b) 2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 402*g + 10*g**5 + 145*g**5 - 411*g - 4 wrt g.\nAnswer: 3100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11*j**3 + 14*j**2 - 8. Suppose 4*k + 206 = -14*r, -9 = -3*k + 3*r + 66. Let g(z) = -5 + 3*z**3 + 9*z**2 + z**3 + 3*z**3. What is k*g(b) - 5*h(b)?\nAnswer: b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i**2. Suppose 0 = 2*o - 130 + 52. What is the remainder when o is divided by z(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06 and 25972194640245.\nAnswer: 25972194640245.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/11? (a) 1\/10 (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1.6663662 hours?\nAnswer: 0.069431925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcchhhvvvddhdvhvv. Give prob of sequence hdh.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 28*z**2 - 86*z**2 + 23*z**2 + 58 + 21*z**2 - z**3 - 15*z + 23*z**2. Give n(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 2*r + 6*r + (0 - 3 + 4)*(3*r - 7*r + 3*r) + 0*r - r + 3*r)*(2 + 0 + 0) to the form c*r + z and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -503 + 553. What is the greatest common divisor of l and 4950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 174 = 226 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277297106 to the power of 1\/2, to the nearest integer?\nAnswer: 16652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50663*-3.\nAnswer: 151989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/7 + 58711390*u\/7 = 0. Calculate u.\nAnswer: -29355695, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-1) + -1 + 0 + -3. Let m(k) = 94*k**2. Let t be m(u). Let p = t + -96. Which is the nearest to 1\/4? (a) 0.05 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23276 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 12, 18, 26?\n\"Answer: j**2 + j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-3)\/3 - -7. Let l be (-2)\/(-7) - j\/(-7). Solve u = l + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 17*b**3\/6 + 238*b**2 - 7146*b. What is s(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 256, 1122, 2548, 4528, 7056, 10126, 13732?\n\"Answer: -j**3 + 286*j**2 + 15*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4409242259\/2446773450 + 1\/47975950. Let f = i - 2\/969. Which is smaller: 3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 7*i - 5. Let u be v(5). Suppose -u*n + 188 = 3. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddidddidddiiddid. Give prob of picking 3 i.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 4 = 2*n - 4*a, 0 = n - 4*a + 1. Which is bigger: -52 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 7*d + 7. Let g be u(8). What are the prime factors of (1 - g)\/(8\/308)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 8) in base 7?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 168 divided by -12\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 5*t. Let y be k(-5). Suppose 11*i = 28*i. Solve i = 2*v - 2*x + 12, y*x = -x + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15428*u + 2*u**3 - 12760*u + u**3.\nAnswer: 3*u**3 - 28188*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11*-23*(-57)\/9614*148\/(-12)\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4764054062.\nAnswer: 2, 109, 263, 83093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + 1)\/(-3 + 1). Let o(z) = 6*z + 93. Let l be o(-15). Solve -6 = -l*t + n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 2 + -1 - ((sqrt(13) + -2)**2 + 1))*5.\nAnswer: -85 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = -2*h, -2*h = -0*h + 5*g - 25. Let a = h - -2. Determine z, given that -4 - a*z + 3*z + 0 - 5*z - z**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 80\/(-25) + 2\/10. Let s = b + 48. What is the highest common factor of 30 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjertjen. Give prob of picking 1 n and 1 e.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**8\/8400 + 3*z**3\/2 - 3*z. Let d(t) be the second derivative of u(t). Factor d(f).\nAnswer: -f**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 18*c + 5*s - 57438 = 0, -114786 = -4*c + 5*s. Is c a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.2642 - 374905.\nAnswer: -374900.7358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 124470?\nAnswer: 124468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -10, 6, -0.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -177015 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/6444 and -45\/503348?\nAnswer: 4530132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 448408 divided by 112102?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 14 = 13. Let o = -4 - l. Let h = -0.1 - -0.1. Which is the third smallest value? (a) o (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 26*x - 475. Calculate l(13).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13510392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - l. Let r be o(3). Suppose 0*p - r = 3*p - 3*s, 3*s - 18 = p. Let w(b) = 6*b + 2. Give w(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 793 - 707. Calculate the highest common divisor of q and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1428272 is divided by 1603?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 37*h**3 - h. What is m(-1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(-8))*w*w)\/w)\/(w*w**(9\/4)))**(1\/10)*((w\/w**(-1\/2)*w)\/w**(-2\/13))\/(w**(-1\/8)*w\/(w**(-2)\/w)) assuming w is positive.\nAnswer: w**(-146\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 46. What is the least common multiple of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*p - 6 = 0, 0 = 4*p + 2 + 2. Suppose -q - g*q - 6 = 0. Let v be (q\/3)\/(3\/(-9)). Solve d + v = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44167170 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56451132 divided by -14112783.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 31. List the prime factors of y(-9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 + 11 + 23*o**3 + 7*o**3 - 34*o**3 as s*o + d*o**3 + q*o**2 + x and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 3*q - 5. Let j be ((-1)\/2)\/(1\/(-10)). Let s be p(j). Suppose -2*x + x = 0. Put s, -3, x in descending order.\nAnswer: s, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011101 (base 2) to base 7.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 55*b**2 + b + 50. Let z be o(-55). Suppose -7 = 5*j - 97. Let h = -19 + j. Sort z, h, -2, 2 in increasing order.\nAnswer: z, -2, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * -0.041.\nAnswer: 0.00287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1360905, -2721806, -4082707, -5443608?\n\"Answer: -1360901*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 802, 1502, 2400, 3496?\nAnswer: 4790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*s + 4, -7*w = -2*w + 3*s - 5. Solve 4 - w = -2*u - 3*h, -h + 3 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -4\/19, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -1.091, -1.3, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from 1424612.52787.\nAnswer: 1424594.52787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9591401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.9 (b) -0.01 (c) -5 (d) -0.433\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 493146179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 8*t + 14. Let n be q(9). Let l = -137 - -140. Solve n + 15 = 4*y - 2*x, 0 = -4*y - l*x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1037 - 963. What is the remainder when c is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**2\/2 + r - 6825. Let h(x) = -3*x**2 - 5*x - 2. Give -h(u) - 3*z(u).\nAnswer: 3*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o**(-2\/5))\/(((o*o**18)\/o)\/(o*o**(6\/7))) assuming o is positive.\nAnswer: o**(-649\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22 (b) -0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(19)*2*6.\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 882 and 8918?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.011 times -3.5\nAnswer: 0.0385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3)*(-252)\/(-1764)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u + u**3 + 27*u**2 - 8*u)*(-7*u - 26*u + 8*u).\nAnswer: -25*u**4 - 675*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 14*m - 22. Let i = 24 - 13. Let q be w(i). Suppose -q*o - 48 = -14*o. Solve 2*c = 6*c + o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84*28\/(-105)*19*(-5)\/(-19)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 9:17 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - l - 77 - 105, -5 = -5*l. Suppose 5*q - x = 4. Suppose 3*n + q = 5*k + 81, 16 = 2*n + 4*k. What is the greatest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/3*627\/(-209)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -132, -2\/5 in decreasing order.\nAnswer: 1, -2\/5, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**3\/3 + u**2\/2 - 2*u. What is the first derivative of z(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23a205 (base 11) to base 2\nAnswer: -1011100101010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404*b - 410*b - 1692 = 0. Which is greater: -281 or b?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 395950.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17ba - 0?\nAnswer: -17ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 727796870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t = -93*t + 222 + 226 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -194, -383, -626, -917, -1250, -1619, -2018?\nAnswer: -2441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from xvyzwsv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 + 5*b**2\/3 + 4*b\/3.\nAnswer: b*(b + 1)*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 196b?\nAnswer: 196b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -8, 247, -2 in descending order.\nAnswer: 247, 8, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.0017 - -12.05. What is q rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161 - 30. Calculate the remainder when p is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 6*w**2 + 2*w - 13. Let x be t(6). What is the remainder when 41 is divided by 3*(-1 + -1)\/x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -77*p**3 + 124.\nAnswer: -231*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7549 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1)\/((-413)\/413). Let r(u) = -4. Let i(l) = l - 11. Let h(k) = -4*i(k) + 11*r(k). Give h(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnn when three letters picked without replacement from {b: 4, n: 2, x: 2, g: 1, i: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 p when three letters picked without replacement from {i: 6, h: 2, p: 3, k: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4276*j - 7698*j - 372998 for j.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*i - 11*i + 66 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-14)\/(-8) - (-20)\/(-48).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 5:26 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.095681682 to four decimal places.\nAnswer: 0.0957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 33*p**2 - 129 + 43*p**3 + 0*p - 3\/2*p**4. Factor q(w).\nAnswer: -3*w*(w - 22)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*o + 181*o + 3256 = 113*o for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 431*a**7\/30 - 103*a**5\/5 + 496*a**2 + a. Find the third derivative of p(t) wrt t.\nAnswer: 72408*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 12354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**3 + 97*r**2 + 338*r + 12. Give y(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16274220, -16274212, -16274196, -16274172?\n\"Answer: 4*z**2 - 4*z - 16274220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4682890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 5*g + 15 = 0. What is the third derivative of -g*o**4 - 9*o**4 + 32*o**2 - 37*o**2 - 3*o**4 wrt o?\nAnswer: -408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyayyyyayy.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100211102102001210 + -2?\nAnswer: -100211102102001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -865\/259699 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 4*b**3 + 3*b**3 - 13*b as k*b + v*b**2 + i*b**3 + f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*b**3*d**3 - 2*b**3*d**2 - 5*b**3 - 2*b**2*d**3 - 1121*b**2 wrt b.\nAnswer: -276*d**3 - 12*d**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18240, -19692, -21144, -22596?\n\"Answer: -1452*j - 16788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22000111221 (base 3) in base 14?\nAnswer: -41744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1348950918 and 714?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 281*t**2 + t. Let o(i) = -2*i**2. Calculate v(o(f)).\nAnswer: 1124*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 1974 = 2079. Suppose -3*y + u = -4*y. Let b = y - -970. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371739 is divided by 15488?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 4, -15, 1, 3, 307 in decreasing order.\nAnswer: 307, 69, 4, 3, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w = 116 + 280. Let s be 9\/w + (-7)\/(252\/27). Solve s - 12\/5*l**2 + 3\/5*l**4 + 0*l - 3\/5*l**5 + 12\/5*l**3 = 0 for l.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*q**3*s**3 - 13*q**3*s - 422*s**3 wrt q.\nAnswer: 60*q**2*s**3 - 39*q**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 114*g - 117*g - 27. Let o be 2*5\/((-30)\/g) + -3. Solve o + 0*f**2 + 0*f - 2\/13*f**4 + 2\/13*f**3 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43278 + 75278. Round r to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29003.\nAnswer: 13, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3294 (base 11) to base 15.\nAnswer: -1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b + 20, -2*b = 4*f. Let k be f + (4 - 0)\/(-2). List the prime factors of 14 + (0 - -2) + k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 24. Suppose 2*v + k = 5*s - 20, 3*v = 2*s - 14. Solve -s*r + 0*f = f - 7, -4*f + 11 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 t when four letters picked without replacement from {r: 1, t: 16, f: 3}?\nAnswer: 112\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 80*q**2 - 59*q + 1558. What is y(-79)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0*n**5 - 54*n + 0*n**6 - 2 + 0*n**2 - 87\/28*n**8 + 0*n**7 - 23\/3*n**4 + 0*n**3. What is the third derivative of w(k) wrt k?\nAnswer: -20880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111001 + 11112100000?\nAnswer: 11101211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -199, -302, -407, -514?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -319 - -324. Sort -4, l, -10.\nAnswer: -10, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 11*d + 6. Let w be g(-6). Calculate the highest common factor of 132 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 2*h**3\/3 - 3*h. Let i(t) be the first derivative of -t**3 + 58. What is m(i(u))?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*(k*k\/((k**18*k)\/k))\/k*k*k)\/k**7)**(-18))**6)**(-33) assuming k is positive.\nAnswer: k**(-74844)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1039 = 5*b - 5054. Let s = b + -549. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -122\/9, 34, -225?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 145*z**2 - 63*z + 11646. What is q(-144)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13881055.178 less than -5?\nAnswer: 13881050.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 + 5*l - 3*l - 22*l**4 + 25*l**4 - 2 + 0 in the form o*l**3 + g + s*l**2 + y*l + d*l**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 > 103\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 6\/2137847?\nAnswer: 6\/2137847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2*-1*4\/8*-25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113 and 2283843?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (8 - (12 - 5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -4, -1 in ascending order.\nAnswer: -4, -1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231 - 229. Suppose 0 = -2*a - k*x, -x - 2 = 1. Solve i = -a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21341749231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -11 - (1 + (-8 - -6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 2)\/(12\/(-30684)). Suppose -v + c = 764. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2196 + 1962. Which is the closest to 1? (a) 5 (b) 1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -25*z + 25. Let d(o) = 17*o - 17. Suppose 2*x + 2*x = 20. Let j(t) = x*f(t) + 8*d(t). Find the first derivative of j(h) wrt h.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377359.11 milliseconds in hours?\nAnswer: 0.104821975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3098*g**3 + 3*g**2 - 9*g - 1374 wrt g.\nAnswer: 18588*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -280595 - -280600. Let j(p) = p**3 - 5*p**2 + 3*p - 6. What is the remainder when j(5) is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r**2 + 6*r - 8. Let i(u) = 26*u**2 + 23*u - 20. Let z(c) = 2*c + 1. Let p(m) = i(m) - 3*z(m). What is -6*p(x) + 17*w(x)?\nAnswer: -3*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 + 19*q**5 - q**5 + 2*q**5 - q**2 + q**2 + (2*q**4 + 3 - 3)*(-3*q + 2*q - q).\nAnswer: 13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -1416 and 0.1585.\nAnswer: -1415.8415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 11.81 (b) 2\/475 (c) 1\/7 (d) -3\/8 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9797, -3, -1.5 in ascending order.\nAnswer: -3, -1.5, 9797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -443.0251 - -443. What is r rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -991 - -679. Let x = 311.99999933 + a. Round x to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/17)*a)\/((a*a**(2\/9)*a)\/a)*(a**(-2))**(-7\/10) assuming a is positive.\nAnswer: a**(991\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -33*p**3 + 2*p**2 + 7*p + 9. Let b(m) = 16*m**3 - m**2 - 4*m - 5. Let q(x) = 11*b(x) + 6*c(x). Let l be q(2). Let u = -122 - l. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 + 699*n - 3448. Determine d(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5928)\/(-17784))\/((8\/(80\/15))\/(17*9)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + 8. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -0.143, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34530 and 62154.\nAnswer: 310770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = b - 87 + 2, -r + 2*b + 28 = 0. What is the remainder when 61 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53.946 + -0.054. Let g = 60.2 + z. Round g to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -726 - 63.\nAnswer: -789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o - 72 + 8*o**3 + 135 + 12*o**2 - 67. Let n(y) = -y**3 - y**2 - y. Let r(h) = 2*i(h) + 18*n(h). Factor r(x).\nAnswer: -2*(x - 2)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, 23, 382, 885, 1532, 2323?\nAnswer: 3258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - r - 1. What is v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l + 3*l**2 + (3 + 2*l**2 - 3)*(0 + 4 - 5))*(0 + 0 - 1).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 237\/(((-30)\/21*(-2058)\/5390)\/((-4)\/(-22)))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1976873?\nAnswer: 23, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-69)\/15)*-36*109\/(-6540)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12530196 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3166091 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 2*j - 6. What is x(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o. Let d(w) = -9*w - 17*w - 30*w + 0*w. Determine u(d(s)).\nAnswer: -56*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (15*(-8)\/(-240)*-5)\/(6\/48)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71699 = -4*k - 3*r, 36*k = 39*k - r - 53758. List the prime factors of k.\nAnswer: 17921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.11152ng to grams.\nAnswer: 0.00000004411152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 3:43 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13637, -13128, -12279, -11090, -9561, -7692, -5483?\nAnswer: -2934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -2*m - 26, 3*m - 25*k = -22*k - 27 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2242\/5 + 450. Factor -2\/5*x**2 + 8\/5*x - w.\nAnswer: -2*(x - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h**2 + 2*h - 1. Let k be v(2). Let y = 9 + k. Suppose -2*w + 7*w - 95 = y. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 490.982529 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and 42.\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1116748 divided by 4.\nAnswer: 279187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 979 divide 6509751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 10:13 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + 4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 93.34856cm?\nAnswer: 0.0009334856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 - 155*n + 1421. Let k = -50 + 17. Let g = k - -46. Calculate the remainder when u(27) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(495)*6)*-4*-5)\/(6*sqrt(30)\/sqrt(6) + sqrt(25)\/(sqrt(15)\/sqrt(3))).\nAnswer: -340*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000000 + 1111101100?\nAnswer: 10110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-200)*(-25)\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 155 - 55. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 + l**2 + 2*l. Let v be x(2). Find the common denominator of 1254\/(-189) - v\/(-36) and -54\/25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -53. Find the common denominator of (a\/(-10))\/(4\/(-70)) and 22\/(-14) + (-7 + 2 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:34 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -164, -153, -118, -47, 72, 251, 502?\n\"Answer: 2*g**3 - 3*g - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + 0*x**4 + 0*x**4 + (-2*x**4 + x**4 - x**4)*(0 + 0 + 5).\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 235 + -1641\/7. Let f = -882.6 - -883. What is the nearest to -1 in f, p, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/15)\/((-2)\/20). Let v = d - 4. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4064000 to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j - 42 - 38\/3*j**3 + 0*j**2. Let z(l) = -l**2. Give f(z(u)).\nAnswer: -38*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d0f1be + 0?\nAnswer: 6d0f1be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34892 - 34881. Solve r*g + 129 = 41 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -736, 3, -1\/2, 2, 320?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(60\/(-8))*132\/(-2). Suppose -39*z + q*z = 0. Solve 7*h - 8*h - 2 = z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3 - 7. Let l be (26\/(-7))\/(2\/(-95)). Let d = 176 - l. Which is the nearest to 3? (a) -5 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*u + 20, -l - 16*u + 13*u = -14. Let x = 36.2 + -36. Let w = 2 - 1. Which is the nearest to w? (a) -3 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -12. Let o = p + 40. Solve 0 - 39\/2*v**4 + 3*v + 9\/2*v**5 - 33\/2*v**o + 57\/2*v**3 = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 4 - 6)*(2*j - 2 + 2)*(-110 - 89 + 100) in the form s*j + h and give s.\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -143350 (base 6) in base 3?\nAnswer: -200212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 109401 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**3 + 13. Let z(c) = -16*c. Give w(z(r)).\nAnswer: -768*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2249, 2302, 2449, 2738, 3217, 3934, 4937?\nAnswer: 6274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yucygrgzu. Give prob of sequence yc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(3)*-2) - sqrt(21))\/(3*2*sqrt(7)) - (3 + (sqrt(243)*2)\/sqrt(9))**2.\nAnswer: -117 - 145*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 96 * -3\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18467 - 9409. List the prime factors of c.\nAnswer: 2, 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 9*b**2 + 11*b + 14. Let m be o(-10). What is the closest to -0.1 in m, 3\/2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4635408, -18541619, -41718636, -74166459, -115885088?\n\"Answer: -4635403*l**2 - 2*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y**2 + 3*y**3 - 10*y**2 + 40*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 2}. What is prob of sequence ss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 115\/20 + 1\/4. Suppose -b*q = -q. Find the third derivative of 3*c**4 - c**2 + q*c**2 + 0*c**4 - c**4 wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87721271?\nAnswer: 11, 19, 97, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/28 (b) -1\/2 (c) -4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2. Suppose 2*d - 52 = 202. Suppose -5*u = q - 250, 4*q = 2*u + u - d. Let k(i) = 2*i**2 - 98*i + 49*i + u*i. Determine l(k(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*n = -28, 0 = -3*n - 1 - 14. Calculate the remainder when -3*140\/(-30) - -121 is divided by i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 0*n - 107 - 1\/120*n**6 - n**2 + 71\/60*n**5 + 41\/3*n**3 + 0*n**4. Differentiate i(h) wrt h.\nAnswer: -3*h**2 + 142*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 15*v = -19*v - 37, -4*v + 3 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 2*w - 14. Let g be s(5). Let i(x) = -6 + x - 4 + 74*x**2 + 9. What is the tens digit of i(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from txxxitxxmmxmxiixxxxx?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-2*p + 2*p - p) - 2 - 4*p + 3*p - 3*p - 6*p - 8*p - 35*p.\nAnswer: -54*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 102?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -8044.661377 to one dp.\nAnswer: -8044.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*h - 3426780 = -3*h. Let m = 129421 + h. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14064 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165049\/7 or -23579?\nAnswer: -23579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1545 and -187\/14220.\nAnswer: 1464660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 811470 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 5*j**3\/3 - 7*j**2\/2 + 13. What is the second derivative of c(i) wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 6, y: 2, d: 2, s: 1, e: 3, n: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 - 14*l**2 + 207*l\/2 - 90.\nAnswer: (l - 15)*(l - 12)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {k: 1, o: 8, u: 6, e: 1, y: 3}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 0*a - 5\/3*a**4 + 0 + 0*a**3 - 85*a**2 - 1\/15*a**5 - 44\/105*a**7 + 0*a**6. What is the third derivative of h(d) wrt d?\nAnswer: -2112*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 4 (c) 3\/5 (d) -3 (e) 0.240764\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28787 = 2080*k - 18291 + 13798 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -22. Let v(u) be the second derivative of -u**3\/3 - u. Let h(o) = -o - 5. Let i(r) = -r - 6. Let k(t) = 6*h(t) - 5*i(t). Determine y*k(p) - v(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, 5, -47, 1 in decreasing order.\nAnswer: 10, 5, 1, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -16 + 14 + (-3)\/(3\/(-1275410)). Let o = 224592 + z. Round o to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 14 = 37 + 15 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -833*-0.0945.\nAnswer: 78.7185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 - h**2 - 7*h**2 - 5*h**2 to v + w*h**2 + q*h and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**2 - 6*i. Let l(j) = -2*j**2 - 27*j - j**2 + 2*j**2 + 0*j**2 + 28*j. What is -a(c) - 6*l(c)?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 922104 divided by 72.\nAnswer: 12807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-5))**(-4\/13) assuming c is positive.\nAnswer: c**(20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8324 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 125*k**3 - 7*k**2 - 16*k - 6. What is b(-2)?\nAnswer: -1002","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((16 + -1)*-1)\/14. Let i = p - -4\/7. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 299 + -208. Let o = n + -91. Solve o = -0*d - 3*d - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**6\/360 + 11*m**5\/120 + 11*m**4\/24 - 28*m**3\/3 - 43. Let d(z) be the third derivative of p(z). Calculate d(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*t - 92*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 149504 and 0.014041.\nAnswer: 149504.014041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -126 + 1d694?\nAnswer: 1d56c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(448) + -1 + sqrt(448))*1 - (3 + sqrt(448) + -1 + sqrt(448))) + sqrt(448)*2 + 4 + -6*(sqrt(448) - 2*sqrt(448))) + 4)**2.\nAnswer: -384*sqrt(7) + 28681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3001135 by 50.\nAnswer: -600227\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 474692.8 millennia?\nAnswer: 47469280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -33*k + 16. Let m(u) = -16*u + 8. Let z(j) = -2*a(j) + 4*m(j). Let q(i) = 23*i**2 - 15*i**2 - 89*i**2. Give z(q(x)).\nAnswer: -162*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/10 - (2 + 1). Let b = 13113 + -13108. What is the smallest value in -0.3, r, b, -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639 at least 1641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 1 - 7. Suppose m + 3*p - 34 = 0, -u*m = m + p - 62. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5, -3*t + 5*t + 662 = 5*a. Suppose -a*v + 138*v + 738 = 0. Which is bigger: -125 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**2 + 8*r**2 + r**2 + (-r + 3*r + 0*r)*(-r - r + 0*r) - 824 + 30*r**2 + 824 to d + f*r + m*r**2 and give m.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 759?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*z**2 - 209*z**2 + 23*z**2.\nAnswer: -252*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -106.6 (b) -2\/5 (c) -4 (d) 344\/37 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40405427, 40405428, 40405429, 40405430?\nAnswer: 40405431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + o**2 - o. Let x(n) = 22*n**3 - n**2 + 2*n - 2. Let v(t) = 2*t**3 - 56*t**2 - 59*t + 28. Let j be v(29). What is j*h(u) - x(u)?\nAnswer: -21*u**3 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (0 + sqrt(80) - sqrt(80)) - sqrt(80)) + -3.\nAnswer: -4*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 2*l + 4*l)*(-l + 6*l - 3*l) + 642*l**2 + 59*l - 117*l + 58*l to z*l + a + w*l**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 104*i**2 + 440*i - 850. Determine q(108).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j. Let u(m) = 445*m. Give u(x(s)).\nAnswer: 890*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*d + 2*d - 2*x, -x = d + 9. Let k(t) = t**2 - 84*t. Let p(w) = 3*w**2 - 162*w + 3. Let q(v) = -2*k(v) + p(v). Calculate q(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -668, -1488, -2682, -4256, -6216?\nAnswer: -8568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + h + 15. Let n = -1 + 4. Let w be n\/2 + 1\/2. Solve 0 = w*p - z + h, 0 = p + 2*p + z + 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346, 695, 1048, 1405, 1766?\nAnswer: 2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1307 + 4.\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800) + -4)**2*-3.\nAnswer: -2448 + 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -n - 5*y, -81*y - 42 = -44*n + 42*n + 67 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1\/4 (c) 2\/409481 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2039 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 times 3?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*w**3 + 29567 + 29787 - 19*w**3 - 59354 - 17*w**3 - 25*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*f - 4*f. Suppose 8*k = 38056 - 37984. Sort 3, 4, f, k in descending order.\nAnswer: k, 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p**2 + 29*p**2 - 5 + 4.\nAnswer: 49*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21960650 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*w - 6*w + 2*q + 16, -3*q = -4*w + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/43, 145, 3 in decreasing order.\nAnswer: 145, 3, -2\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*4*sqrt(3584))\/((sqrt(96)*-4*5)\/sqrt(12))*-5.\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j*j*j\/(((j\/((j**(1\/11)\/j*j)\/j))\/j)\/j))))\/j**(6\/5))\/(j**(-3)*j\/j**(3\/4))*(j\/(j\/j**(5\/2))*j**12)**(-2\/61) assuming j is positive.\nAnswer: j**(42481\/13420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 1:37 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}